Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#16863776 |
| Sylow | C67 ⋊ C2×#494 |
552 conjugacy classes of subgroups.
2156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30751136, #30755070, #30755072, … |
| maximal normal subgroup of | #30751136, #30755070, #30755072, … |
| maximal quotient of | C2×#22559806, C2×#22559819, C2×#22559827, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 14926);