| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #449×D71 |
| Fitting | #449×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#449 |
812 conjugacy classes of subgroups.
703 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#449×D71, #3002×D71, #3005×D71, … |
| maximal normal subgroup of | C2×#449×D71, #3002×D71, #3005×D71, … |
| maximal quotient of | #1597×D71, #1609×D71, #1600×D71, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13707);