Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C4×C22⋊C4×C19 ⋊ C2 |
| Sylow | C19 ⋊ #2435 |
1088 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 181 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|b^2=e,c^2=ef,d^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^18,c^b=cg398 conjugacy classes — view the full character table.
| maximal subgroup of | #18080257, #18082965, #18082969, … |
| maximal normal subgroup of | #18080257, #18082965, #18082969, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 8161);