Finite Group Databasebeta

← Group #72259111

Character table — Group #72259111

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222444444888888888888888161616161616161616161616161616161616161632323232323232323264646464
order1222222222224444222222244444444222222444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11111-1-1-1-11111-1-11111111111-1-111-1-1-111-1-1-1-1-1-111-1-1
χ611111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-111
χ711111111111111111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-111-1-1-1-1-1-111
χ811111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-11-1-1-111-1-11-1-1-111-1-11-1-11111-1-11-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-11-1-1-1-111-11-1-111-1-11-1-111-1-111-11-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1111-1-1-111-1-11-1-1-1-1-111111-1-111-1-1-11-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-111-1-111-11-1-1-1-111-11-1-1-1-111111-1-1-1-1111-11-1
χ13111111111111-1-1-1-11-1-1-1-111-1-111111111111-1-1-111-1-11-1111111-1-1-1-1-1-1-1111-1-11
χ14111111111111-1-1-1-11-1-1-1-111-1-11111111111-11-1-1-1-111-11111111-1-1-1-1-111-1-1-111-1
χ15111111111111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11-1-1-111-1-11-111-1-1-1-1-11111-1-111-111-1
χ16111111111111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-111-1111-1-1-1-1-1111111-1-11-1-11
χ17222222222222222222222-2-2222222-2-2000000-2-2000000-2-20000-2000000000000
χ1822222222222222222-2-2-2-2-2-222-2-2-2-2-2-2000000-2-20000002200002000000000000
χ19222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-200000022000000220000-2000000000000
χ20222222222222-2-2-2-22-2-2-2-2-2-2-2-22222-2-200000022000000-2-200002000000000000
χ212222222222-2-222-2-2-20000222-20000-2-22200002-200000000-2-20002-20000000000
χ222222222222-2-222-2-2-20000222-20000-2-2-2-200002-20000000022000-220000000000
χ232222222222-2-222-2-2-20000-2-22-2000022002200-220000000000-2-20002-200000000
χ242222222222-2-222-2-2-20000-2-22-200002200-2-200-22000000000022000-2200000000
χ252222222222-2-2-2-222-2000022-220000-2-2220000-2200000000-2-2000-220000000000
χ262222222222-2-2-2-222-2000022-220000-2-2-2-20000-2200000000220002-20000000000
χ272222222222-2-2-2-222-20000-2-2-220000220022002-20000000000-2-2000-2200000000
χ282222222222-2-2-2-222-20000-2-2-2200002200-2-2002-20000000000220002-200000000
χ292222-2-22-2-22220000-200002-20022-2-22-20000020000-2-2022-20000000002-2000000
χ302222-2-22-2-22220000-200002-20022-2-22-200000-20000220-22-2000000000-22000000
χ312222-2-22-2-22220000-200002-200-2-2222-20000020000-2-202-22000000000-22000000
χ322222-2-22-2-22220000-200002-200-2-2222-200000-20000220-2-220000000002-2000000
χ332222-2-22-2-22220000-20000-220022-2-2-2200002000-2-20020-22000000000002-20000
χ342222-2-22-2-22220000-20000-220022-2-2-220000-20002200-20-2200000000000-220000
χ352222-2-22-2-22220000-20000-2200-2-222-2200002000-2-200202-200000000000-220000
χ362222-2-22-2-22220000-20000-2200-2-222-220000-20002200-202-2000000000002-20000
χ3744444-4-44-4-400004400000000-400000000002-2002-22-2-220000000000000000000
χ3844444-4-44-4-400004400000000-40000000000-2200-22-222-20000000000000000000
χ3944444-4-44-4-40000-4-4000000004000000000022002-2-22-2-20000000000000000000
χ4044444-4-44-4-40000-4-40000000040000000000-2-200-222-2220000000000000000000
χ414444-44-4-44-40044000000000-4000000000002-200-22-22-220000000000000000000
χ424444-44-4-44-40044000000000-400000000000-22002-22-22-20000000000000000000
χ434444-44-4-44-400-4-40000000004000000000002200-222-2-2-20000000000000000000
χ444444-44-4-44-400-4-4000000000400000000000-2-2002-2-22220000000000000000000
χ454444-4-44-4-44-4-40000400004-4000000-44000000000000000000000000000000000
χ464444-4-44-4-44-4-4000040000-440000004-4000000000000000000000000000000000
χ474-4-4400-40044-40000000000000004-4002-22-20000000000002-22-20000000000000
χ484-4-4400-40044-40000000000000004-400-22-22000000000000-22-220000000000000
χ494-4-4400-40044-4000000000000000-44002-2-220000000000002-2-220000000000000
χ504-4-4400-40044-4000000000000000-4400-222-2000000000000-222-20000000000000
χ514-4-4400-4004-4400000000000004-400002-22-2000000000000-22-220000000000000
χ524-4-4400-4004-4400000000000004-40000-22-220000000000002-22-20000000000000
χ534-4-4400-4004-440000000000000-4400002-2-22000000000000-222-20000000000000
χ544-4-4400-4004-440000000000000-440000-222-20000000000002-2-220000000000000
χ5588-8-80800-80008i−8i00000000000000000000000000000000000000000000000000
χ5688-8-80800-8000−8i8i00000000000000000000000000000000000000000000000000
χ5788-8-80-80080000000044-4-40000000000000000000000000000000000000000000
χ5888-8-80-800800000000-4-4440000000000000000000000000000000000000000000
χ598-88-8800-80000008i−8i000000000000000000000000000000000000000000000000
χ608-88-8800-8000000−8i8i000000000000000000000000000000000000000000000000
χ618-88-8-80080000000004-44-40000000000000000000000000000000000000000000
χ628-88-8-8008000000000-44-440000000000000000000000000000000000000000000
χ638-8-8800800-800000004-4-440000000000000000000000000000000000000000000
χ648-8-8800800-80000000-444-40000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).