Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#10622559 |
| Sylow | C11 ⋊ C2×#385 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
256 conjugacy classes — view the full character table.
| maximal subgroup of | #14659963, #14659999, #14660001, … |
| maximal normal subgroup of | #14659963, #14659999, #14660001, … |
| maximal quotient of | C2×#13066838, C2×#13066847, C4×#10622559, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6920);