Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C13×#385 ⋊ C2 |
| Sylow | C13 ⋊ #2376 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^7,13|a^2=g,c^2=e,b^a=be,c^a=cf,d^a=def,h^a=h^12,c^b=cef,d^b=de,h^d=h^12206 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#2376, C2×#13117985, #16025531, … |
| maximal normal subgroup of | D13×#2376, C2×#13117985, #16025531, … |
| maximal quotient of | #15784538, #15784550, #15784552, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 7659);