Finite Group Databasebeta

← Group #72261045

Character table — Group #72261045

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91
size11112222222222224444444444444444488888888888888888888888816161616161616161616161616161616161616161616323232323232323232323232
order1222222244444444222222222444444442222444444444444444444442222444444444444448888444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ5111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1
χ8111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111
χ91111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ101111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ111111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ121111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ131111111111111111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ141111111111111111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ151111111111111111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ161111111111111111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ1722222222222-2-2-2-222-2-22222-2-22-2-2-2-2-2-220000-2-2000022000000002222-2-200-2-22200000000000000000000000000
χ1822222222222-2-2-2-222-2-22222-2-22-2-2-2-2-2-220000-2-200002200000000-2-2-2-2220022-2-200000000000000000000000000
χ1922222222222-2-2-2-222-2-2-2-2-2-2-2-22-2-2222220000220000-2-20000000022222200-2-2-2-200000000000000000000000000
χ2022222222222-2-2-2-222-2-2-2-2-2-2-2-22-2-2222220000220000-2-200000000-2-2-2-2-2-200222200000000000000000000000000
χ2122222222-2-2-22222-22-2-22222-2-2-2222222-20000-2-20000-2-2000000000000000000000022-2-222-2-20000000000000000
χ2222222222-2-2-22222-22-2-22222-2-2-2222222-20000-2-20000-2-20000000000000000000000-2-222-2-2220000000000000000
χ2322222222-2-2-22222-22-2-2-2-2-2-2-2-2-222-2-2-2-2-2000022000022000000000000000000000022-2-2-2-2220000000000000000
χ2422222222-2-2-22222-22-2-2-2-2-2-2-2-2-222-2-2-2-2-20000220000220000000000000000000000-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-22222222200000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2222-2-2-2-222-2-2-22222-222-2-2-2-222-2-222-2-2-2-2222200000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2222-2-2-2-222-2-2-22222-2-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000
χ29222222-2-222-22222-2-2-2-222-2-2222-2-222-2-2-200002-200002-20000000000000000000000000000000000002-22-2000000
χ30222222-2-222-22222-2-2-2-222-2-2222-2-222-2-2-200002-200002-2000000000000000000000000000000000000-22-22000000
χ31222222-2-222-22222-2-2-2-2-2-222222-2-2-2-222-20000-220000-220000000000000000000000000000000000002-2-22000000
χ32222222-2-222-22222-2-2-2-2-2-222222-2-2-2-222-20000-220000-22000000000000000000000000000000000000-222-2000000
χ33222222-2-222-2-2-2-2-2-2-22222-2-2-2-2222-2-222-20000-2200002-200000000000000000000000000000000000000002i−2i2i−2i00
χ34222222-2-222-2-2-2-2-2-2-22222-2-2-2-2222-2-222-20000-2200002-20000000000000000000000000000000000000000−2i2i−2i2i00
χ35222222-2-222-2-2-2-2-2-2-222-2-222-2-222222-2-2-200002-20000-2200000000000000000000000000000000000000002i−2i−2i2i00
χ36222222-2-222-2-2-2-2-2-2-222-2-222-2-222222-2-2-200002-20000-220000000000000000000000000000000000000000−2i2i2i−2i00
χ37222222-2-2-2-2222222-22222-2-2-2-2-2-2-222-2-220000-220000-2200000000000000000000000000000022-2-200000000002-2
χ38222222-2-2-2-2222222-22222-2-2-2-2-2-2-222-2-220000-220000-22000000000000000000000000000000-2-2220000000000-22
χ39222222-2-2-2-2222222-222-2-222-2-2-2-2-2-2-222200002-200002-200000000000000000000000000000022-2-20000000000-22
χ40222222-2-2-2-2222222-222-2-222-2-2-2-2-2-2-222200002-200002-2000000000000000000000000000000-2-22200000000002-2
χ41222222-2-2-2-22-2-2-2-22-2-2-222-2-222-222-2-222200002-20000-2200000000000000220000-2-20000000000002-20000000000
χ42222222-2-2-2-22-2-2-2-22-2-2-222-2-222-222-2-222200002-20000-2200000000000000-2-2000022000000000000-220000000000
χ43222222-2-2-2-22-2-2-2-22-2-2-2-2-22222-22222-2-220000-2200002-200000000000000220000-2-2000000000000-220000000000
χ44222222-2-2-2-22-2-2-2-22-2-2-2-2-22222-22222-2-220000-2200002-200000000000000-2-20000220000000000002-20000000000
χ452222-2-22222222-2-22-22-200002-2-22-20000-200220000-2-200000022-2-222-2-200002-2000000002-22-20000000000000000
χ462222-2-22222222-2-22-22-200002-2-22-20000-200220000-2-200000022-2-2-2-2220000-2200000000-22-220000000000000000
χ472222-2-22222222-2-22-22-200002-2-22-20000-200-2-2000022000000-2-22222-2-200002-200000000-22-220000000000000000
χ482222-2-22222222-2-22-22-200002-2-22-20000-200-2-2000022000000-2-222-2-2220000-22000000002-22-20000000000000000
χ492222-2-222222-2-2222-2-220000-22-2-220000-2220000-2-2000022-2-2000022-2-20000-2200002-22-200000000000000000000
χ502222-2-222222-2-2222-2-220000-22-2-220000-2220000-2-2000022-2-20000-2-22200002-20000-22-2200000000000000000000
χ512222-2-222222-2-2222-2-220000-22-2-220000-2-2-20000220000-2-222000022-2-20000-220000-22-2200000000000000000000
χ522222-2-222222-2-2222-2-220000-22-2-220000-2-2-20000220000-2-2220000-2-22200002-200002-22-200000000000000000000
χ532222-2-222-2-2-222-2-2-2-2-220000-2222-200002220000-2-20000-2-222000000002-200002-20000002-2-220000000000000000
χ542222-2-222-2-2-222-2-2-2-2-220000-2222-200002220000-2-20000-2-22200000000-220000-22000000-222-20000000000000000
χ552222-2-222-2-2-222-2-2-2-2-220000-2222-200002-2-2000022000022-2-2000000002-200002-2000000-222-20000000000000000
χ562222-2-222-2-2-222-2-2-2-2-220000-2222-200002-2-2000022000022-2-200000000-220000-220000002-2-220000000000000000
χ572222-2-222-2-2-2-2-222-2-22-200002-22-220000200220000-2-2000000-2-22200002-20000-2200-222-200000000000000000000
χ582222-2-222-2-2-2-2-222-2-22-200002-22-220000200220000-2-2000000-2-2220000-2200002-2002-2-2200000000000000000000
χ592222-2-222-2-2-2-2-222-2-22-200002-22-220000200-2-200002200000022-2-200002-20000-22002-2-2200000000000000000000
χ602222-2-222-2-2-2-2-222-2-22-200002-22-220000200-2-200002200000022-2-20000-2200002-200-222-200000000000000000000
χ614444-4-4-4-444-444-4-4-44-4400004-4-4-44000040000000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-444-4-4-444-444-40000-44-44-4000040000000000000000000000000000000000000000000000000000000000
χ634444-4-4-4-4-4-4444-4-4444-40000-444-440000-40000000000000000000000000000000000000000000000000000000000
χ644444-4-4-4-4-4-44-4-44444-4400004-444-40000-40000000000000000000000000000000000000000000000000000000000
χ6544-4-44-4000004i−4i4i−4i0000004-400000004i−4i02-22-2002-22-2002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ6644-4-44-4000004i−4i4i−4i0000004-400000004i−4i0-22-2200-22-2200−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ6744-4-44-4000004i−4i4i−4i000000-440000000−4i4i02-2-22002-2-22002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000
χ6844-4-44-4000004i−4i4i−4i000000-440000000−4i4i0-222-200-222-200−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000
χ6944-4-44-400000−4i4i−4i4i0000004-40000000−4i4i02-22-2002-22-200−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ7044-4-44-400000−4i4i−4i4i0000004-40000000−4i4i0-22-2200-22-22002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ7144-4-44-400000−4i4i−4i4i000000-4400000004i−4i02-2-22002-2-2200−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000
χ7244-4-44-400000−4i4i−4i4i000000-4400000004i−4i0-222-200-222-2002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000
χ7344-4-4-44000004i−4i−4i4i00004-400000004i−4i0002-22-200-22-2200−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000
χ7444-4-4-44000004i−4i−4i4i00004-400000004i−4i000-22-22002-22-2002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000
χ7544-4-4-44000004i−4i−4i4i0000-440000000−4i4i0002-2-2200-222-200−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000
χ7644-4-4-44000004i−4i−4i4i0000-440000000−4i4i000-222-2002-2-22002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000
χ7744-4-4-4400000−4i4i4i−4i00004-40000000−4i4i0002-22-200-22-22002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000
χ7844-4-4-4400000−4i4i4i−4i00004-40000000−4i4i000-22-22002-22-200−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000
χ7944-4-4-4400000−4i4i4i−4i0000-4400000004i−4i0002-2-2200-222-2002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000
χ8044-4-4-4400000−4i4i4i−4i0000-4400000004i−4i000-222-2002-2-2200−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000
χ814-44-4004-44-440000-40000000000000000000000000000000000000004i−4i002-200002-2000000002i−2i2i−2i000000000000
χ824-44-4004-44-440000-40000000000000000000000000000000000000004i−4i00-220000-2200000000−2i2i−2i2i000000000000
χ834-44-4004-44-440000-4000000000000000000000000000000000000000−4i4i002-200002-200000000−2i2i−2i2i000000000000
χ844-44-4004-44-440000-4000000000000000000000000000000000000000−4i4i00-220000-22000000002i−2i2i−2i000000000000
χ854-44-400-44-4440000-400000000000000000000000000000000000004i−4i00002-20000-22000000002i−2i−2i2i000000000000
χ864-44-400-44-4440000-400000000000000000000000000000000000004i−4i0000-2200002-200000000−2i2i2i−2i000000000000
χ874-44-400-44-4440000-40000000000000000000000000000000000000−4i4i00002-20000-2200000000−2i2i2i−2i000000000000
χ884-44-400-44-4440000-40000000000000000000000000000000000000−4i4i0000-2200002-2000000002i−2i−2i2i000000000000
χ898-88-8008-8-88-800008000000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-888-8-800008000000000000000000000000000000000000000000000000000000000000000000000000000
χ9116-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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