Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#10622140 |
| Sylow | C11 ⋊ C2×#346 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14641461, #14641465, Dic11×#346, … |
| maximal normal subgroup of | #14641461, #14641465, Dic11×#346, … |
| maximal quotient of | C2×#13066532, C2×#13066535, #14662792, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6099);