Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#63223 |
| Sylow | C17 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14528477, #14528478, #14528480, … |
| maximal normal subgroup of | #14528477, #14528478, #14528480, … |
| maximal quotient of | C22×#10587474, C2×C4×#63223, C22×C22⋊#3622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1309);