Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C19×#380 ⋊ C2 |
| Sylow | C19 ⋊ #1964 |
408 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 608 |
Polycyclic presentation:
2^7,19|a^2=f,b^2=df,c^2=e,b^a=bd,c^a=ce,d^a=dg,d^b=dg,f^b=fg,h^b=h^18284 conjugacy classes — view the full character table.
| maximal subgroup of | #18074729, #18074731, #18074736, … |
| maximal normal subgroup of | #18074729, #18074731, #18074736, … |
| maximal quotient of | #18081362, #18081366, #18081370, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 5345);