Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10622181 |
| Sylow | C11 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
178 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#10622181, Dic11×#330, #14644699, … |
| maximal normal subgroup of | C4×#10622181, Dic11×#330, #14644699, … |
| maximal quotient of | C2×#13066439, #14641745, #14641999, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 3094);