Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#10587544 |
| Sylow | C17 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
104 conjugacy classes — view the full character table.
| maximal subgroup of | #14543628, #14543662, #14543675, … |
| maximal normal subgroup of | #14543628, #14543662, #14543675, … |
| maximal quotient of | C2×#11763671, C2×#11763673, #14544333, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1551);