Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic13 |
| Sylow | C13 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #15783495, Dic13×SD64, #15783502, … |
| maximal normal subgroup of | #15783495, Dic13×SD64, #15783502, … |
| maximal quotient of | Q32×#1055, #15774836, #15774910, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6369);