Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16863380 |
| Sylow | C67 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
1364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30761168, #30761169, #30761178, … |
| maximal normal subgroup of | #30761168, #30761169, #30761178, … |
| maximal quotient of | C2×#22558523, C2×#22558527, #30821644, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 12985);