Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#17985765 |
| Sylow | C71 ⋊ C2×#342 |
680 conjugacy classes of subgroups.
1444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #342×Dic71, C4×#17985765, #31902712, … |
| maximal normal subgroup of | #342×Dic71, C4×#17985765, #31902712, … |
| maximal quotient of | C2×#22586182, #31887045, #31887051, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4239);