Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C19 ⋊ #349 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 304 |
Polycyclic presentation:
2^6,19|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^18,d^b=df202 conjugacy classes — view the full character table.
| maximal subgroup of | #14561570, #14561571, #14561572, … |
| maximal normal subgroup of | #14561570, #14561571, #14561572, … |
| maximal quotient of | #14561559, #14561575, #14561593, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 331);