Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C13 ⋊ #2976 |
412 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^7,13|a^2=f,f^2=g,b^a=be,d^a=de,h^a=h^8,c^b=ce,d^b=dg,h^c=h^12,h^f=h^1286 conjugacy classes — view the full character table.
| maximal subgroup of | D13⋊#2976, C2×#13131704, #16808687, … |
| maximal normal subgroup of | D13⋊#2976, C2×#13131704, #16808687, … |
| maximal quotient of | #16797500, #16797516, #16797559, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21378);