Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#20294076 |
| Sylow | C433 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13856 |
3476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42121536, #42121662, C4×#20294076, … |
| maximal normal subgroup of | #42121536, #42121662, C4×#20294076, … |
| maximal quotient of | C2×#28357127, C4×#20294076, #42121669, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 100);