Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C13 ⋊ #1745 |
272 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^7,13|a^2=e,b^2=f,c^2=d,e^2=g,b^a=bd,c^a=cg,h^a=h^12440 conjugacy classes — view the full character table.
| maximal subgroup of | #15749464, #15749465, #15749517, … |
| maximal normal subgroup of | #15749464, #15749465, #15749517, … |
| maximal quotient of | #15753345, #15753352, #15753356, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 4259);