Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4⋊C4×C433 ⋊ C2 |
| Sylow | C433 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6928 |
Polycyclic presentation:
2^5,433|a^2=e,c^2=d,b^a=bd,f^b=f^432,f^c=f^4322180 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42121804, #42121806, #42121814, … |
| maximal normal subgroup of | #42121804, #42121806, #42121814, … |
| maximal quotient of | #42121656, #42121658, C4⋊C4×Dic433, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 104);