Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C2×C8 |
No aliases for this group.
| Fitting | C13×#322 ⋊ C2 |
| Sylow | C13 ⋊ #1450 |
212 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^7,13|a^2=d,b^2=e,d^2=f,e^2=g,h^a=h^12,c^b=cf,h^c=h^12320 conjugacy classes — view the full character table.
| maximal subgroup of | #15771922, #15771926, #15771973, … |
| maximal normal subgroup of | #15771922, #15771926, #15771973, … |
| maximal quotient of | #15752277, #15752303, #15753347, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 2795);