Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C16×Dic22 |
| Sylow | C11 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14641249, #14641251, C16×#4324, … |
| maximal normal subgroup of | #14641249, #14641251, C16×#4324, … |
| maximal quotient of | C16×C4⋊Dic11, C16×Dic11⋊C4, #14671387, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6413);