Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14581825 |
| Fitting | C4×M16×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35299020, #35299022, #35299034, … |
| maximal normal subgroup of | #35299020, #35299022, #35299034, … |
| maximal quotient of | C8×#14581825, #35374002, #35374024, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13333);