Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22×C4×C431 ⋊ C2 |
| Sylow | C431 ⋊ #123 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
Polycyclic presentation:
2^5,431|c^2=d,b^a=bd,c^a=ce,f^a=f^4303454 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42119248, #123×D431, C2×#28352172, … |
| maximal normal subgroup of | #42119248, #123×D431, C2×#28352172, … |
| maximal quotient of | #42118922, #42118932, #42118938, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 129);