Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#19127571 |
| Sylow | C83 ⋊ C2×#384 |
888 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#24905347, #35294498, #35294508, … |
| maximal normal subgroup of | C2×#24905347, #35294498, #35294508, … |
| maximal quotient of | C2×#24905693, C4×#19127571, C2×#24905728, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6911);