Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C431 ⋊ #126 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
Polycyclic presentation:
2^5,431|b^2=de,c^2=d,b^a=bd,c^a=ce,f^c=f^4302164 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #126×D431, C2×#28352182, #42119586, … |
| maximal normal subgroup of | #126×D431, C2×#28352182, #42119586, … |
| maximal quotient of | #42118926, #42118941, #42118944, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 139);