Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20294107 |
| Sylow | C433 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6928 |
884 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42122681, #42122687, #42122694, … |
| maximal normal subgroup of | #42122681, #42122687, #42122694, … |
| maximal quotient of | C2×#28357275, C4×#20294107, C2×#28357277, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 232);