Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11718113 |
| Fitting | C2×C13×Q32 ⋊ C2 |
| Sylow | C13 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
170 conjugacy classes — view the full character table.
| maximal subgroup of | #15783495, C4×#11718113, #15783508, … |
| maximal normal subgroup of | #15783495, C4×#11718113, #15783508, … |
| maximal quotient of | C2×#13113013, C2×#13113017, C2×#13113037, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6810);