Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×Dic11 |
| Sylow | C11 ⋊ C4×#102 |
396 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
196 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D11×#102, C2×#102×Dic11, C4×#10622385, … |
| maximal normal subgroup of | C4×D11×#102, C2×#102×Dic11, C4×#10622385, … |
| maximal quotient of | Dic11×D4⋊C8, #14644397, #14644412, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4327);