Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C19 ⋊ #1532 |
218 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=e,c^2=fg,d^2=g,e^2=f,b^a=bd,c^a=cf,d^a=df,h^a=h^18,d^b=dg,e^b=efg284 conjugacy classes — view the full character table.
| maximal subgroup of | #18074060, #18074061, #18074065, … |
| maximal normal subgroup of | #18074060, #18074061, #18074065, … |
| maximal quotient of | #18070561, #18070566, #18070591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 3130);