Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#16863454 |
| Sylow | C67 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
1376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30765034, C4×#16863454, #30853979, … |
| maximal normal subgroup of | #30765034, C4×#16863454, #30853979, … |
| maximal quotient of | C2×#22559959, C2×#22559977, C2×#22560065, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13133);