Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#17986014 |
| Fitting | C2×#104×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
1024 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#17986014, #31995174, #31995179, … |
| maximal normal subgroup of | C4×#17986014, #31995174, #31995179, … |
| maximal quotient of | C2×#22586729, C2×#22586733, C2×#22586724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 13050);