Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#10622353 |
| Fitting | C2×C11×#99 ⋊ C2 |
| Sylow | C11 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | #14668714, #14668722, #14668741, … |
| maximal normal subgroup of | #14668714, #14668722, #14668741, … |
| maximal quotient of | C2×#13066927, C2×#13066929, C2×#13066935, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12965);