Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10622160 |
| Sylow | C11 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #14674356, C4×#10622160, #14674368, … |
| maximal normal subgroup of | #14674356, C4×#10622160, #14674368, … |
| maximal quotient of | C2×#13066796, C2×#13066797, C2×#13066815, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6814);