Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×C4×#13050574 |
| Sylow | C83 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35293786, #35293787, #35293792, … |
| maximal normal subgroup of | #35293786, #35293787, #35293792, … |
| maximal quotient of | C2×C8×#13050574, C2×#24905752, C2×#24905760, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12919);