Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10587500 |
| Sylow | C17 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
134 conjugacy classes — view the full character table.
| maximal subgroup of | #14530640, C4×#10587500, #14530652, … |
| maximal normal subgroup of | #14530640, C4×#10587500, #14530652, … |
| maximal quotient of | C2×#11762612, C2×#11762613, C2×#11762634, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 976);