Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#10587573 |
| Sylow | C17 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #14527106, #14527126, #14528579, … |
| maximal normal subgroup of | #14527106, #14527126, #14528579, … |
| maximal quotient of | C2×#11762660, C2×C4⋊C4×Dic17, C4×#10587573, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1013);