Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17986121 |
| Sylow | C71 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | #31912746, #31912748, #31912753, … |
| maximal normal subgroup of | #31912746, #31912748, #31912753, … |
| maximal quotient of | C2×SD16⋊(C71⋊C8), C2×#22587159, C2×#22587164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13406);