Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | D13×#376 |
| Fitting | C13×#376 ⋊ C2 |
| Sylow | C13 ⋊ C2×#376 |
840 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D13×#1274, #15752319, D13×#1300, … |
| maximal normal subgroup of | D13×#1274, #15752319, D13×#1300, … |
| maximal quotient of | C4×D13×#95, C4×#11718309, Dic13×#376, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6835);