Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of #63219 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D136 |
| Fitting | C4×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14526744, #14526746, #14526750, … |
| maximal normal subgroup of | #14526744, #14526746, #14526750, … |
| maximal quotient of | C8×D136, #14527615, #14527670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 633);