Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic866 |
| Sylow | C433 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13856 |
3476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42121715, #42121716, #42121717, … |
| maximal normal subgroup of | #42121715, #42121716, #42121717, … |
| maximal quotient of | C22×#20294076, C22×C4⋊Dic433, C2×C4×Dic866, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 186);