Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C19 ⋊ #1367 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2432 |
Polycyclic presentation:
2^7,19|a^2=d,b^2=c,c^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^18632 conjugacy classes — view the full character table.
| maximal subgroup of | #18069194, #18069195, #18069197, … |
| maximal normal subgroup of | #18069194, #18069195, #18069197, … |
| maximal quotient of | #18069277, #18069402, #18070205, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2574);