Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×Dic11 |
| Sylow | C11 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | Dic11×#455, #14759661, Dic11×#456, … |
| maximal normal subgroup of | Dic11×#455, #14759661, Dic11×#456, … |
| maximal quotient of | #137×C11⋊C8, #14723369, #14723392, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13331);