Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#11718235 |
| Fitting | C2×C42×C13 ⋊ C4 |
| Sylow | C13 ⋊ C2×H(3,ℤ/4) |
404 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#11718235, #16785191, #16785198, … |
| maximal normal subgroup of | C4×#11718235, #16785191, #16785198, … |
| maximal quotient of | C2×#13129659, C2×#13129660, #16778912, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 20179);