Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#16863370 |
| Sylow | C67 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
1364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30761158, #30761159, #30761163, … |
| maximal normal subgroup of | #30761158, #30761159, #30761163, … |
| maximal quotient of | C2×#22558523, C2×#22558530, C2×#22558533, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 12967);