Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C431 ⋊ C2 |
| Sylow | C431 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3448 |
Polycyclic presentation:
2^5,431|a^2=d,b^a=bc,c^a=ce,d^b=de,f^b=f^4302161 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×D431, C2×#28352103, #42119031, … |
| maximal normal subgroup of | #99×D431, C2×#28352103, #42119031, … |
| maximal quotient of | #42118782, #42118784, #42118792, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 60);