Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#10587574 |
| Sylow | C17 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
188 conjugacy classes — view the full character table.
| maximal subgroup of | #14529730, #14529734, #14529743, … |
| maximal normal subgroup of | #14529730, #14529734, #14529743, … |
| maximal quotient of | C2×#11762678, C2×#11762705, C2×#11762706, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1092);