Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | #427×D67 |
| Fitting | #427×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
980 conjugacy classes — view the full character table.
| maximal subgroup of | #1382×D67, #30770726, #1384×D67, … |
| maximal normal subgroup of | #1382×D67, #30770726, #1384×D67, … |
| maximal quotient of | #1564×D67, #1568×D67, #30824840, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 13086);