Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic866 |
| Sylow | C433 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13856 |
3476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42121541, #42121543, C4×#20294085, … |
| maximal normal subgroup of | #42121541, #42121543, C4×#20294085, … |
| maximal quotient of | C4×C4⋊Dic433, C4×#20294076, #42121694, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 112);