Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14556149 |
| Fitting | C4×SD16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
1036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14556149, #31966853, #31966930, … |
| maximal normal subgroup of | C8×#14556149, #31966853, #31966930, … |
| maximal quotient of | C8×#14556149, #31966978, #31966980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13279);