Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of #6118 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C23×#6122 |
| Sylow | C13 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #16785262, #16785300, #16785330, … |
| maximal normal subgroup of | #16785262, #16785300, #16785330, … |
| maximal quotient of | C23×#88110, C22×C4×#6122, C23×C22⋊#1057, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21495);