| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #465×D71 |
| Fitting | #465×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#465 |
564 conjugacy classes of subgroups.
814 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#465×D71, #3050×D71, #3055×D71, … |
| maximal normal subgroup of | C2×#465×D71, #3050×D71, #3055×D71, … |
| maximal quotient of | #1665×D71, #1671×D71, #1677×D71, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 14066);