Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×D13⋊#131 |
| unambiguous semidirect product | D13⋊(C2×#131) |
| Sylow | C13 ⋊ C22×#131 |
1504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #16785406, #16785409, #16785450, … |
| maximal normal subgroup of | #16785406, #16785409, #16785450, … |
| maximal quotient of | C2×#13131396, C2×C4×#88238, C4×D13⋊#131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21499);