Finite Group DatabasebetaFinite Group Databasebeta| order | 7908 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic659 |
| unambiguous semidirect product | C659⋊(C3×C4) |
| derived, Sylow | C659 ⋊ C3×C4 |
| Hall | C3×C659 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C3 | D659 |
| commutator, hypocenter | C659 | C3×C4 |
| Frattini | C2 | C3×D659 |
| Fitting, socle | C2×C3×C659 | C2 |
| LCS | G ▷ C659 | |
| UCS | C1 ◁ C2×C3 | |
12 conjugacy classes of subgroups.
1986 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×Dic659, C3×Dic1977, C32×Dic659 |
| maximal normal subgroup of | C9×Dic659, C32×Dic659 |
| maximal quotient of | C9×Dic659, C3×Dic1977, C32×Dic659 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7908, 3);