Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C2×#11718249 |
| Sylow | C13 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #16777989, #16777990, #16777992, … |
| maximal normal subgroup of | #16777989, #16777990, #16777992, … |
| maximal quotient of | C2×#13129943, C4×#11718249, C2×C22⋊#88036, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 20930);