Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of #63228 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#63228 |
| Fitting | C22×D4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
188 conjugacy classes — view the full character table.
| maximal subgroup of | #14529129, #14529130, #14529132, … |
| maximal normal subgroup of | #14529129, #14529130, #14529132, … |
| maximal quotient of | C22×#10587480, C22×#10587503, C22×#10587478, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1318);