Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17986118 |
| Fitting | C2×#104×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | #31996010, #31996011, C4×#17986118, … |
| maximal normal subgroup of | #31996010, #31996011, C4×#17986118, … |
| maximal quotient of | C2×#22587149, C2×#22587155, C2×#22587156, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13403);