Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | D13×#433 |
| Fitting | C13×#433 ⋊ C2 |
| Sylow | C13 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D13×#433, D13×#2921, D13×#2922, … |
| maximal normal subgroup of | C2×D13×#433, D13×#2921, D13×#2922, … |
| maximal quotient of | D13×#1746, D13×#1750, D13×#1768, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13132);