Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10622087 |
| Fitting | C2×C11×C32 ⋊ C2 |
| Sylow | C11 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
358 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14674351, C4×#10622087, #14674363, … |
| maximal normal subgroup of | #14674351, C4×#10622087, #14674363, … |
| maximal quotient of | C2×#13066795, C2×#13066798, C2×#13066818, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6812);