Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of #63228 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#63231 |
| Sylow | C17 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
188 conjugacy classes — view the full character table.
| maximal subgroup of | #14529122, #14529123, #14529125, … |
| maximal normal subgroup of | #14529122, #14529123, #14529125, … |
| maximal quotient of | C22×#10587481, C22×#10587506, C22×#10587478, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1325);