Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of #63219 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#63219 |
| Fitting | C22×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14529117, #14529119, #14529138, … |
| maximal normal subgroup of | #14529117, #14529119, #14529138, … |
| maximal quotient of | C22×#10587492, C22×#10587487, C22×#10587488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1323);