Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#10622196 |
| Sylow | C11 ⋊ C2×#341 |
392 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | Dic11×#341, C4×#10622196, #14658961, … |
| maximal normal subgroup of | Dic11×#341, C4×#10622196, #14658961, … |
| maximal quotient of | C2×#13066450, #14643231, #14643238, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4233);