Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#16863794 |
| Sylow | C67 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
2156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30751093, #30751095, #30755046, … |
| maximal normal subgroup of | #30751093, #30751095, #30755046, … |
| maximal quotient of | C2×#22560366, C2×#22560937, C2×#22561170, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 15009);