Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19127658 |
| Fitting | C2×#97×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
1720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35294931, #35294935, #35297264, … |
| maximal normal subgroup of | #35294931, #35294935, #35297264, … |
| maximal quotient of | C2×#24905742, C2×#24905748, C2×#24905749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12924);