Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D13×#385 |
| Fitting | C13×#385 ⋊ C2 |
| Sylow | C13 ⋊ C2×#385 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1326, #15772334, D13×#1867, … |
| maximal normal subgroup of | D13×#1326, #15772334, D13×#1867, … |
| maximal quotient of | D13×C22⋊#95, D13×#1436, #15784083, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6918);