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The results below are complete, since the LMFDB contains all Belyi maps of degree at most 6

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Degree Group Orders \([a,b,c]\) triple
Genus Orbit size Passport size Base field
Geometry type Primitive Primitivization
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Results (8 matches)

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Label Degree Group abc Ramification type Genus Orbit Size Base field Triples Primitivization
4T1-4_4_1.1.1.1-a $4$ 4T1 $[4, 4, 1]$ $[[4], [4], [1, 1, 1, 1]]$ $0$ $1$ \(\Q\) $[[[2, 3, 4, 1], [4, 1, 2, 3], [1, 2, 3, 4]]]$ 2T1-2_2_1.1-a
4T1-4_4_2.2-a $4$ 4T1 $[4, 4, 2]$ $[[4], [4], [2, 2]]$ $1$ $1$ \(\Q\) $[[[2, 3, 4, 1], [2, 3, 4, 1], [3, 4, 1, 2]]]$ 2T1-2_2_1.1-a
4T2-2.2_2.2_2.2-a $4$ 4T2 $[2, 2, 2]$ $[[2, 2], [2, 2], [2, 2]]$ $0$ $1$ \(\Q\) $[[[4, 3, 2, 1], [2, 1, 4, 3], [3, 4, 1, 2]]]$ 2T1-2_2_1.1-a
4T3-4_2.2_2.1.1-a $4$ 4T3 $[4, 2, 2]$ $[[4], [2, 2], [2, 1, 1]]$ $0$ $1$ \(\Q\) $[[[2, 3, 4, 1], [2, 1, 4, 3], [3, 2, 1, 4]]]$ 2T1-2_2_1.1-a
4T4-3.1_3.1_2.2-a $4$ 4T4 $[3, 3, 2]$ $[[3, 1], [3, 1], [2, 2]]$ $0$ $1$ \(\Q\) $[[[2, 3, 1, 4], [2, 4, 3, 1], [3, 4, 1, 2]]]$ 4T4-3.1_3.1_2.2-a
4T4-3.1_3.1_3.1-a $4$ 4T4 $[3, 3, 3]$ $[[3, 1], [3, 1], [3, 1]]$ $0$ $1$ \(\Q\) $[[[2, 3, 1, 4], [3, 2, 4, 1], [1, 4, 2, 3]]]$ 4T4-3.1_3.1_3.1-a
4T5-4_3.1_2.1.1-a $4$ 4T5 $[4, 3, 2]$ $[[4], [3, 1], [2, 1, 1]]$ $0$ $1$ \(\Q\) $[[[2, 3, 4, 1], [1, 4, 2, 3], [2, 1, 3, 4]]]$ 4T5-4_3.1_2.1.1-a
4T5-4_4_3.1-a $4$ 4T5 $[4, 4, 3]$ $[[4], [4], [3, 1]]$ $1$ $1$ \(\Q\) $[[[2, 3, 4, 1], [3, 1, 4, 2], [3, 2, 4, 1]]]$ 4T5-4_4_3.1-a
  displayed columns for results