Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#10587485 |
| Sylow | C17 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14526723, #14528632, C4×#10587485, … |
| maximal normal subgroup of | #14526723, #14528632, C4×#10587485, … |
| maximal quotient of | C2×#11762559, C2×#11762561, #14527530, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 569);