Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C8 |
No aliases for this group.
| Sylow | C19 ⋊ #1455 |
214 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,c^a=cf,c^b=cg,h^b=h^18416 conjugacy classes — view the full character table.
| maximal subgroup of | #18069599, #18069601, #18076269, … |
| maximal normal subgroup of | #18069599, #18069601, #18076269, … |
| maximal quotient of | #18071915, #18071932, #18072976, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2813);