Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4⋊C4×C431 ⋊ C2 |
| Sylow | C431 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
Polycyclic presentation:
2^5,431|a^2=d,c^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^4302164 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #102×D431, C2×#28352109, #42119053, … |
| maximal normal subgroup of | #102×D431, C2×#28352109, #42119053, … |
| maximal quotient of | #42118786, #42118792, #42118802, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 66);