Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20294087 |
| Sylow | C433 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13856 |
2174 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42121903, C4×#20294087, #42121915, … |
| maximal normal subgroup of | #42121903, C4×#20294087, #42121915, … |
| maximal quotient of | C2×#28357143, C2×#28357144, C2×#28357153, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 163);