Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic568 |
| Sylow | C71 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
2284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31914529, #31914531, #31914564, … |
| maximal normal subgroup of | #31914529, #31914531, #31914564, … |
| maximal quotient of | C22×#17985804, C22×#17985825, C2×C4×Dic568, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 17623);