Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×D1136 |
| Fitting | C22×C16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C22×D16 |
440 conjugacy classes of subgroups.
2284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31914508, #31914510, #31914543, … |
| maximal normal subgroup of | #31914508, #31914510, #31914543, … |
| maximal quotient of | C22×#17985801, C22×#17985825, C2×C4×D1136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 17616);