Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C19 ⋊ C2 |
| Sylow | C19 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
Polycyclic presentation:
2^6,19|a^2=d,d^2=e,e^2=f,c^b=cf,g^c=g^18328 conjugacy classes — view the full character table.
| maximal subgroup of | #14561776, #14561778, #14565470, … |
| maximal normal subgroup of | #14561776, #14561778, #14565470, … |
| maximal quotient of | #14565230, #14565231, #14565247, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 965);