Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D68 |
| Fitting | C4×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14526738, #14526740, C8×#63228, … |
| maximal normal subgroup of | #14526738, #14526740, C8×#63228, … |
| maximal quotient of | C8×D136, C8×#63219, C8×Dic68, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 616);