Data for HN

n	U	rank	degree	permutation character	PDF	sources	generators
1	A₁₂	12	1140000	1a + 133ab + 760a + 3344a + 8910a + 16929a + 35112ab + 267520a + 365750a + 406296a	PDF	[Hoe01]	1, 2
2	A₁₁ < A₁₂	19	13680000	1a + 133ab + 760a + 3344a + 8910a + 9405a + 16929a + 35112ab + 267520a + 365750a + 406296a + 653125a + 1185030a + 2031480a + 2375000a + 2407680a + 3878280a	PDF	[Mue03]	1, 2
3	2.HS.2	9	1539000	1a + 3344a + 8910a + 9405a + 16929a + 214016a + 267520a + 365750a + 653125a	PDF	[Hoe01]	1, 2
4	U₃(8).3₁	19	16500000	1a + 760a + 3344a + 9405a + 35112ab + 267520a + 270864a + 374528ab + 656250ab + 1185030a + 1361920abc + 1575936a + 2407680a + 4561920a	PDF	[Mue03]	1, 2

n	U	rank	degree	permutation character	PDF	sources	generators
1	S₁₂	10	1140000	1a⁺ + 133ab + 760a⁺ + 3344a⁺ + 8910a⁺ + 16929a⁺ + 35112ab + 267520a⁺ + 365750a⁺ + 406296a⁺	PDF	[Hoe01]	1, 2
2	S₁₁ < S₁₂	17	13680000	1a⁺ + 133ab + 760a⁺ + 3344a⁺ + 8910a⁺ + 9405a⁺ + 16929a⁺ + 35112ab + 267520a⁺ + 365750a⁺ + 406296a⁺ + 653125a⁺ + 1185030a⁺ + 2031480a⁺ + 2375000a⁺ + 2407680a⁺ + 3878280a⁺	PDF	[Mue03]	1, 2
3	4.HS.2	9	1539000	1a⁺ + 3344a⁺ + 8910a⁺ + 9405a⁺ + 16929a⁺ + 214016a⁺ + 267520a⁺ + 365750a⁺ + 653125a⁺	PDF	[Hoe01]	1, 2
4	2.HS.2 < HN	18	3078000	1a^± + 3344a^± + 8910a^± + 9405a^± + 16929a^± + 214016a^± + 267520a^± + 365750a^± + 653125a^±	PDF	[Hoe01]	1, 2
5	2.HS.2 < 4.HS.2	13	3078000	1a⁺ + 760a⁺ + 3344a⁺ + 8910a⁺ + 9405a⁺ + 16929a⁺ + 214016a^± + 267520a⁺ + 270864a⁺ + 365750a⁺ + 653125a⁺ + 1053360a⁺	PDF	[Hoe01]	1, 2
6	U₃(8).6	15	16500000	1a⁺ + 760a⁺ + 3344a⁺ + 9405a⁺ + 35112ab + 267520a⁺ + 270864a⁺ + 374528ab + 656250ab + 1185030a⁺ + 1361920a⁺bc + 1575936a⁺ + 2407680a⁺ + 4561920a⁺	PDF	[Mue03]	1, 2

File created automatically by GAP on 2-Sep-2009.