Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19127666 |
| Fitting | C2×C22⋊C8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#408 |
792 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35313467, C4×#19127666, #35401931, … |
| maximal normal subgroup of | #35313467, C4×#19127666, #35401931, … |
| maximal quotient of | C2×#24905808, C2×#24905810, C2×#24905813, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12948);