Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C19 ⋊ #1306 |
192 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 57 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=d,b^2=e,e^2=f,b^a=bc,c^a=cf,e^a=eg,c^b=cg,d^b=df,h^b=h^18278 conjugacy classes — view the full character table.
| maximal subgroup of | #18070025, #18070026, #18070121, … |
| maximal normal subgroup of | #18070025, #18070026, #18070121, … |
| maximal quotient of | #18069110, #18069111, #18069121, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2418);