Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×Dic71 |
| Sylow | C71 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
814 conjugacy classes — view the full character table.
| maximal subgroup of | #455×Dic71, #32003340, #456×Dic71, … |
| maximal normal subgroup of | #455×Dic71, #32003340, #456×Dic71, … |
| maximal quotient of | #137×C71⋊C8, #31967048, #31967071, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13331);