Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#66940 |
| Sylow | C11 ⋊ C42×Q8 |
684 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14644369, #14644379, #14644389, … |
| maximal normal subgroup of | #14644369, #14644379, #14644389, … |
| maximal quotient of | C4×#10622262, C4×C4⋊C4×Dic11, #14674945, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6859);