Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×C19×C4⋊C8 ⋊ C2 |
| Sylow | C19 ⋊ #1477 |
264 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 97 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,d^2=f,e^2=g,b^a=bd,d^a=df,c^b=cf,d^b=df,h^b=h^18404 conjugacy classes — view the full character table.
| maximal subgroup of | #18073936, #18073937, #18073941, … |
| maximal normal subgroup of | #18073936, #18073937, #18073941, … |
| maximal quotient of | #18070531, #18070544, #18070549, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2895);