Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19127758 |
| Sylow | C83 ⋊ C2×#432 |
488 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35293831, #35293833, #35293835, … |
| maximal normal subgroup of | #35293831, #35293833, #35293835, … |
| maximal quotient of | C2×#24907212, C2×#24907225, C2×#24907316, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13131);