Finite Group Databasebeta

← Group #72234413

Character table — Group #72234413

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size111122444444444488888888888888881616161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222222244444444444422222224444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-1-1-11111-1-1-11111-1-11111111-1-1-1-1-1-1-111-1-1-1-11-11-1
χ411111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111111111-1-11111-1-111-1-1-1-1111-111-111-1-11-11111-1-1-1111-1-1-1-111-1-1-1-1-11-11
χ61111111111111111-1-11111-1-111-1-1-1-1111-111-1-1-1-1-11-1-1-111-1-1-1111-1-1-1-1-1-111111-11-1
χ71111111111111111-1-111-1-1-1-1-1-11111111-1-1-1111-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1
χ81111111111111111-1-111-1-1-1-1-1-11111111-1-1-11-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ9111111111-1-1-1-1111111111-1-1-1-111-1-111-1-11-1-1111-1-1-111-1-111-111-1111-1-1-111-1-111-1-1
χ10111111111-1-1-1-1111111111-1-1-1-111-1-111-1-11-1-1-1-11-1-1-1-1-1-1-111-111-1111-111-1-111-1-111
χ11111111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-111111-11111-1-111-1-1-11-1-1-11-1-1-1-1111-1-11
χ12111111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-111-1-11-111-1-1-1-111-1-1-11-1-1-111111-1-1-111-1
χ13111111111-1-1-1-1111-1-1111111-1-1-1-11111-111-1111-11-1111-1-1-1-1111-1-1-1-11-1-1-1-111-111-1
χ14111111111-1-1-1-1111-1-1111111-1-1-1-11111-111-11-1-1-11-11-1-1-1-1-1-1111-1-1-1-111111-1-11-1-11
χ15111111111-1-1-1-1111-1-111-1-1111111-1-111-11-11-111-111-111-1-1-1-11-1-11111-1-1-111-1-1-1-111
χ16111111111-1-1-1-1111-1-111-1-1111111-1-111-11-11-1-1-1-111-1-1-1-1-1-1-11-1-11111-111-1-11111-1-1
χ17222222222222222200-2-20000002222-2-22000-200000-200-2-20000002-2-220000000000
χ18222222222222222200-2-2000000-2-2-2-2-2-22000200000200-2-2000000-222-20000000000
χ19222222222-2-2-2-222200-2-200000022-2-2-2-2-2000200000200220000002-2-2-20000000000
χ20222222222-2-2-2-222200-2-2000000-2-222-2-2-2000-200000-20022000000-22220000000000
χ212222222-2-200002-2-2002-222220000222-20-2-20-2000202000000-22-20000-20000000000
χ222222222-2-200002-2-2002-222-2-20000-2-22-202-202000-20-200000022-2000020000000000
χ232222222-2-200002-2-2002-2-2-2220000-2-22-20-220200020-2000000-2-22000020000000000
χ242222222-2-200002-2-2002-2-2-2-2-20000222-20220-2000-2020000002-220000-20000000000
χ252222222-2-200002-2-222-220000220022-220002200-20-2-200002-2000-2000-20000000000
χ262222222-2-200002-2-222-220000-2-200-2-2-22000-2-200-202200002-2000200020000000000
χ272222222-2-200002-2-2-2-2-2200002200-2-2-220002-20020-220000-22000-200020000000000
χ282222222-2-200002-2-2-2-2-220000-2-20022-22000-2200202-20000-220002000-20000000000
χ29222222-22-20000-22-200-2-2002222-2-200220-20-20000-2-20000000200222-200000000000
χ30222222-22-20000-22-200-2-20022-2-22200220-2020000-220000000200-2-2-2200000000000
χ31222222-22-20000-22-200-2-200-2-222220022020-200002-20000000-2002-2-2200000000000
χ32222222-22-20000-22-200-2-200-2-2-2-2-2-2002202020000220000000-200-222-200000000000
χ33222222-22-20000-22-22222220000-2-200-2-2002000020000000-2-20-2-202-2200000000000
χ34222222-22-20000-22-22222-2-200002200-2-200-2000020000000-2-20220-22-200000000000
χ35222222-22-20000-22-2-2-2222200002200-2-20020000-20000000220-2-20-22-200000000000
χ36222222-22-20000-22-2-2-222-2-20000-2-200-2-200-20000-200000002202202-2200000000000
χ37222222-2-222222-2-22002-22200220000-22-20-2-20000020002-2000-22-200000000000000
χ38222222-2-222222-2-22002-2-2-200-2-20000-22-202200000-20002-20002-2200000000000000
χ39222222-2-222222-2-2222-2200220000002-2-2200000-2-20000-22-22-200000000000000000
χ40222222-2-222222-2-22-2-2-2200-2-20000002-2-2-200000220000-222-2200000000000000000
χ41222222-2-22-2-2-2-2-2-22002-22200-2-20000-2220-2200000-2000-22000-22200000000000000
χ42222222-2-22-2-2-2-2-2-22002-2-2-200220000-22202-2000002000-220002-2-200000000000000
χ43222222-2-22-2-2-2-2-2-2222-2200-2-20000002-22-200000-2200002-2-22200000000000000000
χ44222222-2-22-2-2-2-2-2-22-2-2-2200220000002-222000002-200002-22-2-200000000000000000
χ454444-4-404000000-4000000000004i−4i000000000220000-2-2000000000000002i−2i000000
χ464444-4-404000000-4000000000004i−4i000000000-2-200002200000000000000−2i2i000000
χ474444-4-404000000-400000000000−4i4i000000000220000-2-200000000000000−2i2i000000
χ484444-4-404000000-400000000000−4i4i000000000-2-2000022000000000000002i−2i000000
χ494-4-444-400-444-4-40040000000000000000000002-200002-20000000000002-200000000
χ504-4-444-400-444-4-4004000000000000000000000-220000-22000000000000-2200000000
χ514-4-444-400-4-4-4440040000000000000000000002-200002-2000000000000-2200000000
χ524-4-444-400-4-4-444004000000000000000000000-220000-220000000000002-200000000
χ534-4-44-44-40000004000000000000004-400000002-20000-2200000000000000002-20000
χ544-4-44-44-40000004000000000000004-40000000-2200002-20000000000000000-220000
χ554-4-44-44-4000000400000000000000-4400000002-20000-220000000000000000-220000
χ564-4-44-44-4000000400000000000000-440000000-2200002-200000000000000002-20000
χ578888-8-80-800000080000000000000000000000000000000000000000000000000000
χ5888-8-8000004-44-400000004-4004-400000000000000000000000000000000000000000
χ5988-8-8000004-44-40000000-4400-4400000000000000000000000000000000000000000
χ6088-8-800000-44-4400000004-400-4400000000000000000000000000000000000000000
χ6188-8-800000-44-440000000-44004-400000000000000000000000000000000000000000
χ628-88-8000004-4-440004-400004-40000000000000000000000000000000000000000000
χ638-88-8000004-4-44000-440000-440000000000000000000000000000000000000000000
χ648-88-800000-444-40004-40000-440000000000000000000000000000000000000000000
χ658-88-800000-444-4000-4400004-40000000000000000000000000000000000000000000
χ668-8-888-8008000000-8000000000000000000000000000000000000000000000000000
χ678-8-88-888000000-800000000000000000000000000000000000000000000000000000

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