Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C19 ⋊ #1425 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=d,b^2=ce,c^2=ef,d^2=g,e^2=fg,f^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^a=h^18614 conjugacy classes — view the full character table.
| maximal subgroup of | #18070423, #18070424, #18070429, … |
| maximal normal subgroup of | #18070423, #18070424, #18070429, … |
| maximal quotient of | #18070216, #18070218, #18070242 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2714);