Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#10622188 |
| Sylow | C11 ⋊ C2×#336 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14640723, #14640725, Dic11×#336, … |
| maximal normal subgroup of | #14640723, #14640725, Dic11×#336, … |
| maximal quotient of | C2×C11⋊#1273, #14643155, #14643156, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4200);