Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | D11×#376 |
| Fitting | C11×#376 ⋊ C2 |
| Sylow | C11 ⋊ C2×#376 |
840 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×#1274, #14643173, D11×#1300, … |
| maximal normal subgroup of | D11×#1274, #14643173, D11×#1300, … |
| maximal quotient of | C4×D11×#95, C4×#10622261, Dic11×#376, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6835);