Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | C22×#66867 |
| Sylow | C11 ⋊ C22×#97 |
680 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#13066446, #14643194, C2×#13066460, … |
| maximal normal subgroup of | C2×#13066446, #14643194, C2×#13066460, … |
| maximal quotient of | C22×#10622092, C2×#13066903, C2×#13066908, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12914);