Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14556074 |
| Sylow | C71 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | #31914527, #31914528, #31914530, … |
| maximal normal subgroup of | #31914527, #31914528, #31914530, … |
| maximal quotient of | C22×#17985802, C22×#17985803, C22×#17985824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 17622);