Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4⋊C4×C431 ⋊ C2 |
| Sylow | C431 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
Polycyclic presentation:
2^5,431|a^2=e,c^2=d,b^a=bd,f^b=f^430,f^c=f^4302170 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42119052, #42119054, #42119062, … |
| maximal normal subgroup of | #42119052, #42119054, #42119062, … |
| maximal quotient of | #42118904, #42118906, C4⋊C4×Dic431, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 104);