Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#16863446 |
| Sylow | C67 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
1400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30745420, #30745426, #30745445, … |
| maximal normal subgroup of | #30745420, #30745426, #30745445, … |
| maximal quotient of | C2×#22559953, C2×C22⋊C8×Dic67, C2×#22560057, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13123);