Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic568 |
| Sylow | C71 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
2284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31884904, #31884906, #31884910, … |
| maximal normal subgroup of | #31884904, #31884906, #31884910, … |
| maximal quotient of | C8×Dic568, #31909370, #31909444, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6370);