Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#10587555 |
| Sylow | C17 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#11762554, C2×#11762556, C2×#11762557, … |
| maximal normal subgroup of | C2×#11762554, C2×#11762556, C2×#11762557, … |
| maximal quotient of | C2×#11762679, C2×#11762707, C2×#11762715, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1093);