Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | Q8×#6092 |
| Sylow | C13 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#6092, #16788819, #16788825, … |
| maximal normal subgroup of | SD16×#6092, #16788819, #16788825, … |
| maximal quotient of | C4⋊C4×#6092, #16790671, #16790799, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 20923);