Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #413×D67 |
| Fitting | #413×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | #1392×D67, #30770793, #1395×D67, … |
| maximal normal subgroup of | #1392×D67, #30770793, #1395×D67, … |
| maximal quotient of | #1458×D67, #1459×D67, #30821639, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 12981);