Finite Group DatabasebetaFinite Group Databasebeta| order | 8576 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #367×D67 |
| Fitting | #367×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
770 conjugacy classes — view the full character table.
| maximal subgroup of | #1418×D67, #1426×D67, C2×#367×D67, … |
| maximal normal subgroup of | #1418×D67, #1426×D67, C2×#367×D67, … |
| maximal quotient of | #1372×D67, #30767474, #30767514, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8576, 6288);