Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #367×D71 |
| Fitting | #367×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
814 conjugacy classes — view the full character table.
| maximal subgroup of | #1418×D71, #1426×D71, C2×#367×D71, … |
| maximal normal subgroup of | #1418×D71, #1426×D71, C2×#367×D71, … |
| maximal quotient of | #1372×D71, #31909095, #31909135, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6288);