Currently the database contains all groups G acting as automorphisms of
curves X from genus 2 up to genus
15 so that the quotient space X/G is the Riemann
sphere (X/G has genus 0). There are 31768
distinct refined passports in the database. The number of distinct
generating vectors is 334866.
Distribution by genus
Genus 
2

3

4

5

6

7

8

9

10

11

distinct families 
19 
40 
54 
70 
74 
103 
88 
194 
174 
163 
distinct refined passports 
37 
176 
215 
627 
409 
969 
436 
3461 
2039 
2079 
distinct generating vectors 
38

191

289

792

901

2219

2080

6186

14422

14605

unique groups 
18

35

43

61

58

80

62

148

116

110

maximum group order 
48

168

120

192

150

504

336

320

432

240

Genus 
12

13

14

15

distinct families 
160 
302 
176 
280 
distinct refined passports 
1506 
11728 
1421 
6665 
distinct generating vectors 
17507

58043

43480

174113

unique groups 
95

196

95

167

maximum group order 
120

360

1092

504

Distribution by dimension
Dimension 
0 
1 
2 
3 
4 
5 
6 
7 
8 
9 
distinct generating vectors 
5985 
9178 
15854 
45314 
19202 
74969 
34397 
8661 
13427 
48538 
Dimension 
10 
11 
12 
13 
14 
15 
16 
17 
18 
19 
distinct generating vectors 
59092 
51 
42 
52 
44 
53 
0 
1 
0 
1 
Dimension 
20 
21 
22 
23 
24 
25 
26 
27 
28 
29 
distinct generating vectors 
0 
1 
0 
1 
0 
1 
0 
1 
0 
1 