Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #468×D67 |
| Fitting | #468×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#468 |
544 conjugacy classes of subgroups.
560 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#468×D67, #3054×D67, #3055×D67, … |
| maximal normal subgroup of | C2×#468×D67, #3054×D67, #3055×D67, … |
| maximal quotient of | #1685×D67, #1691×D67, #1697×D67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 14094);