Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C4 |
| unambiguous semidirect product | C19⋊#1309 |
| Sylow | C19 ⋊ #1309 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=d,b^2=e,d^2=f,e^2=g,b^a=bc,c^a=cf,e^a=eg,c^b=cg,d^b=df,h^b=h^18278 conjugacy classes — view the full character table.
| maximal subgroup of | #18070082, #18070083, #18070160, … |
| maximal normal subgroup of | #18070082, #18070083, #18070160, … |
| maximal quotient of | #18069114, #18069115, #18069135, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2423);