Finite Group DatabasebetaFinite Group Databasebeta| order | 8931 |
| automorphism | ? |
| homology | Abelianization (H1) = C3 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Hall | C13×C229 ⋊ C3 |
| Sylow | C229 ⋊ C13⋊C3 |
| Sylow | C13 ⋊ C229⋊C3 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C13×C229 | C3 |
| LCS | G ▷ C13×C229 | |
| UCS | C1 | |
8 conjugacy classes of subgroups.
Polycyclic presentation:
3,13,229|b^a=b^3,c^a=c^94995 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#22581985, #31821825, #31821829, … |
| maximal normal subgroup of | C2×#22581985, #31821825, #31821829, … |
| maximal quotient of | C2×#22581985, #40999557, C3×#22581985, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8931, 3);