Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19127657 |
| Sylow | C83 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
1720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35294934, #35294938, #35297263, … |
| maximal normal subgroup of | #35294934, #35294938, #35297263, … |
| maximal quotient of | C2×#24905744, C2×#24905747, C2×#24905753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12923);