Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#17986397 |
| Sylow | C71 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
2284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31892714, #31892716, #31896667, … |
| maximal normal subgroup of | #31892714, #31892716, #31896667, … |
| maximal quotient of | C2×#22588497, C2×#22589068, C2×#22589301, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 15009);