Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622167 |
| Sylow | C11 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | Dic11×#340, C4×#10622167, #14658955, … |
| maximal normal subgroup of | Dic11×#340, C4×#10622167, #14658955, … |
| maximal quotient of | C2×#13066450, #14643238, #14643248, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4223);