Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10587558 |
| Fitting | C2×C42×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14527096, #14527116, #14528479, … |
| maximal normal subgroup of | #14527096, #14527116, #14528479, … |
| maximal quotient of | C2×#11762655, C2×C4×#63227, C2×C4×#63225, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1003);