Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C19 ⋊ #1740 |
420 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
Polycyclic presentation:
2^7,19|a^2=e,b^2=f,c^2=g,b^a=bd,d^a=dg,e^b=eg,h^b=h^18404 conjugacy classes — view the full character table.
| maximal subgroup of | #18087751, #18087752, #18088000, … |
| maximal normal subgroup of | #18087751, #18087752, #18088000, … |
| maximal quotient of | #18072129, #18072135, #18072141, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4242);