Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#14581798 |
| Fitting | C2×C4×C8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35295077, #35295079, #35295082, … |
| maximal normal subgroup of | #35295077, #35295079, #35295082, … |
| maximal quotient of | C8×#14581798, #35370013, #35370064, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12930);