Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×SD16×D71 |
| Fitting | C4×SD16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×C4×SD16 |
552 conjugacy classes of subgroups.
1036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×SD16×D71, SD16⋊C8×D71, #31966912, … |
| maximal normal subgroup of | C8×SD16×D71, SD16⋊C8×D71, #31966912, … |
| maximal quotient of | C8×SD16×D71, #1583×D71, #1582×D71, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13263);