Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic536 |
| Sylow | C67 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
2156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30772908, #30772910, #30772943, … |
| maximal normal subgroup of | #30772908, #30772910, #30772943, … |
| maximal quotient of | C22×#16863201, C22×#16863222, C2×C4×Dic536, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 17623);