Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#17985767 |
| Sylow | C71 ⋊ C2×#343 |
432 conjugacy classes of subgroups.
1444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #343×Dic71, C4×#17985767, #31902718, … |
| maximal normal subgroup of | #343×Dic71, C4×#17985767, #31902718, … |
| maximal quotient of | C2×#22586182, #31887048, #31887051, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4245);