Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10587545 |
| Sylow | C17 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
86 conjugacy classes — view the full character table.
| maximal subgroup of | #14543881, #14543882, C4×#10587545, … |
| maximal normal subgroup of | #14543881, #14543882, C4×#10587545, … |
| maximal quotient of | C2×#11763654, C2×#11763655, #14544026, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1533);