Finite Group DatabasebetaFinite Group Databasebeta| order | 19648 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C307 ⋊ #391 |
186 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19648 |
Polycyclic presentation:
2^6,307|a^2=f,b^2=def,c^2=e,b^a=bd,c^a=ce,g^a=g^306,g^b=g^3063088 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19648, 456);