Finite Group DatabasebetaFinite Group Databasebeta| order | 704 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊Dic11 |
| Sylow | C11 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #13066845, #13066846, #13066850, … |
| maximal normal subgroup of | #13066845, #13066846, #13066850, … |
| maximal quotient of | C22×C11⋊#95, C2×C4×C4⋊Dic11, C2×#10622825, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(704, 1235);