Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×C8×D332 |
| Fitting | C2×C4×C8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14581708, #35294973, C8×#14581714, … |
| maximal normal subgroup of | C8×#14581708, #35294973, C8×#14581714, … |
| maximal quotient of | C2×C8×D664, C2×C8×#13050579, C2×C8×Dic332, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13184);