Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | D13×#446 |
| Fitting | C13×#446 ⋊ C2 |
| Sylow | C13 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1338, #15772740, #15772880, … |
| maximal normal subgroup of | D13×#1338, #15772740, #15772880, … |
| maximal quotient of | D13×#1771, D13×#1770, #15861540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13433);