Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| isoclinism | isoclinic class of #4314 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#66882 |
| Sylow | C11 ⋊ C22×#107 |
600 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14659671, #14659673, #14659675, … |
| maximal normal subgroup of | #14659671, #14659673, #14659675, … |
| maximal quotient of | C22×#10622096, C2×#13067375, C2×#13067391, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13085);