Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#17985838 |
| Fitting | C2×C32×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
2278 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31918030, C4×#17985838, #31918042, … |
| maximal normal subgroup of | #31918030, C4×#17985838, #31918042, … |
| maximal quotient of | C2×#22586519, C2×#22586522, C2×#22586542, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6812);