↑

Learn more

The results below are complete, since the LMFDB contains all groups acting as automorphisms of curves of genus 2, 3 or 4

Refine search

Genus Dimension of the family Group order Hyperelliptic curves Full automorphism group
Quotient genus Signature Group identifier Cyclic trigonal curves
Sort order Select

Results (8 matches)

  displayed columns for results
Refined passport label Genus Group Group order Dimension Signature Generating vectors
4.2-1.1.2-2-2-2-2-2.1 $4$ $C_2$ $2$ $6$ $[ 1; 2, 2, 2, 2, 2, 2 ]$ $(1,2),\ldots$
4.3-1.1.3-3-3.1 $4$ $C_3$ $3$ $3$ $[ 1; 3, 3, 3 ]$ $(1,2,3),\ldots$
4.3-1.1.3-3-3.2 $4$ $C_3$ $3$ $3$ $[ 1; 3, 3, 3 ]$ $(1,2,3),\ldots$
4.4-1.1.4-4.1 $4$ $C_4$ $4$ $2$ $[ 1; 4, 4 ]$ $(1,2)(3,4),\ldots$
4.4-2.1.2-2-2.1 $4$ $C_2^2$ $4$ $3$ $[ 1; 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
4.6-1.1.2-2.1 $4$ $S_3$ $6$ $2$ $[ 1; 2, 2 ]$ $(1,2,3)(4,5,6),\ldots$
4.6-2.1.2-2.1 $4$ $C_6$ $6$ $2$ $[ 1; 2, 2 ]$ $(1,4)(2,5)(3,6),\ldots$
4.12-3.1.2.1 $4$ $A_4$ $12$ $1$ $[ 1; 2 ]$ $(1,9,5)(2,11,8)(3,12,6)(4,10,7),\ldots$
  displayed columns for results