Finite Group DatabasebetaFinite Group Databasebeta| order | 19472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1217 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9736 |
Polycyclic presentation:
2^4,1217|a^2=c,c^2=d,b^a=bd,e^a=e^78,e^b=e^1216,e^c=e^12161226 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19472, 50);