Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20294086 |
| Fitting | C2×C8×C433 ⋊ C2 |
| Sylow | C433 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6928 |
3470 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42121898, C4×#20294086, #42121910, … |
| maximal normal subgroup of | #42121898, C4×#20294086, #42121910, … |
| maximal quotient of | C2×#28357142, C2×#28357145, C2×#28357152, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 161);