Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D13×#367 |
| Fitting | C13×#367 ⋊ C2 |
| Sylow | C13 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1418, D13×#1426, C2×D13×#367, … |
| maximal normal subgroup of | D13×#1418, D13×#1426, C2×D13×#367, … |
| maximal quotient of | D13×#1372, #15774562, #15774602, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6288);