Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#10622619 |
| Fitting | C2×C11×#117 ⋊ C2 |
| Sylow | C11 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14659099, #14659102, #14659104, … |
| maximal normal subgroup of | #14659099, #14659102, #14659104, … |
| maximal quotient of | C2×#13066928, C2×#13066936, C2×#13066939, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12966);