Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D71 |
| Fitting | #344×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
814 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#344×D71, #31994907, #1757×D71, … |
| maximal normal subgroup of | C2×#344×D71, #31994907, #1757×D71, … |
| maximal quotient of | #1281×D71, #31887081, #31887084, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 4250);