Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10587498 |
| Sylow | C17 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
134 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#10587498, #14530639, #14530645, … |
| maximal normal subgroup of | C4×#10587498, #14530639, #14530645, … |
| maximal quotient of | C2×#11762610, C2×#11762612, C2×#11762636, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 973);