Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D416 |
| Fitting | C2×C13×C32 ⋊ C2 |
| Sylow | C13 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
422 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15750796, #15750798, #15750808, … |
| maximal normal subgroup of | #15750796, #15750798, #15750808, … |
| maximal quotient of | C2×#13113015, C2×#13113036, C4×D416, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6808);