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Great-granddaughter

بنت ابن الابن

The daughter of the deceased's son's son. She inherits like a granddaughter one level further down, when nearer descendants leave room.

Their share

Each row is a family run through the engine in all four schools; the share is the group share of the great-granddaughter.

FamilyAll four schools
Alone1 with return (radd)
With Wife7/8 with return (radd)
With Sonexcluded
With Daughter1/4 with return (radd)
With Father1/2 fixed share (farḍ)
With Mother3/4 with return (radd)
With Son's daughter × 2 and Great-grandson1/9 residue (ʿaṣaba)
With Daughter, Father's father, and Full brother1/6 fixed share (farḍ)

Who excludes them

Present even once, each of these excludes the great-granddaughter in all four schools:

Two or more of these exclude the great-granddaughter:

How exclusion (ḥajb) works

Whom they exclude

A single great-granddaughter excludes, in all four schools:

Where the schools differ

In every situation above, the four schools give the great-granddaughter the same share.

The verse

No inheritance verse of Sūrat an-Nisāʾ (4:11, 4:12, 4:176) names a share for the great-granddaughter; their place follows the rules the scholars derived from the Sunnah and those verses.

Worked examples

With Wife
HeirḤanafī
Wife 1/8
Great-granddaughter 7/8
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With Daughter
HeirḤanafī
Daughter 3/4
Great-granddaughter 1/4
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With Father
HeirḤanafī
Great-granddaughter 1/2
Father 1/2
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Questions

How much does the great-granddaughter inherit?
It depends on who else inherits. Computed in all four schools: with son: excluded; with father: 1/2; with son's daughter × 2 and great-grandson: 1/9; with daughter, father's father, and full brother: 1/6; alone: 1.
Does the great-granddaughter inherit when there is a son?
No. In all four schools a son excludes the great-granddaughter entirely (ḥajb).
Whom does the great-granddaughter exclude?
In all four schools a single great-granddaughter excludes: maternal brother, maternal sister, daughter's son, daughter's daughter, sister's son, sister's daughter, maternal grandfather, maternal uncle, maternal aunt, and paternal aunt.
Do the four schools agree on the share of the great-granddaughter?
Yes. In every situation computed here the Ḥanafī, Mālikī, Shāfiʿī and Ḥanbalī schools give the same share.