Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×C11⋊#338 |
| unambiguous semidirect product | (C2×C11)⋊#338 |
| Sylow | C11 ⋊ C2×#338 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14640907, #14640909, #14640913, … |
| maximal normal subgroup of | #14640907, #14640909, #14640913, … |
| maximal quotient of | C2×#13066446, C2×#13066447, #14643191, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4213);