Finite Group Databasebeta

← Group #72225773

Character table — Group #72225773

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222244444444444444444444444488888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222222222222222222222222222224444444422444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ71111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ181111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ191111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ201111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ211111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ261111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ271111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ281111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ301111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ311111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ321111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ3322222222222222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2222222220000000000000000-2-2-2-2-2-2-2-2222222-2-200000000-2-2-2-2-2-222000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-2222200000000-2-22222-2-2000000000000000000000000000000000000
χ3522222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-20000000000000000-2-2-2-222222222-2-2220000000022-2-222-2-2000000000000000000000000000000000000
χ3622222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022222222-2-2-2-2-2-2-2-2000000002222-2-222000000000000000000000000000000000000
χ3722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000002222-2-2-2-2000000000000000000000000000000000000
χ3822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-20000000022-2-22222000000000000000000000000000000000000
χ3922222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-222-2-200000000-2-2222222000000000000000000000000000000000000
χ4022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000222222222222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ41222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000222222-2-200-2-20000000000000000000022-2-2000022-2-2000000000000002-2000000000000000000002-22-200002-22-200000000
χ42222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000222222-2-200-2-20000000000000000000022-2-2000022-2-2000000000000002-200000000000000000000-22-220000-22-2200000000
χ43222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000-2-2-2-222-2-2002200000000000000000000-2-2220000-2-22200000000000000-22000000000000000000002i−2i2i−2i0000−2i2i−2i2i00000000
χ44222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000-2-2-2-222-2-2002200000000000000000000-2-2220000-2-22200000000000000-2200000000000000000000−2i2i−2i2i00002i−2i2i−2i00000000
χ45222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200002222-2-22200-2-20000000000000000000022-2-20000-2-22200000000000000-22000000000000000000002-2-2200002-2-2200000000
χ46222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200002222-2-22200-2-20000000000000000000022-2-20000-2-22200000000000000-2200000000000000000000-222-20000-222-200000000
χ47222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000-2-2-2-2-2-222002200000000000000000000-2-222000022-2-2000000000000002-2000000000000000000002i−2i−2i2i0000−2i2i2i−2i00000000
χ48222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000-2-2-2-2-2-222002200000000000000000000-2-222000022-2-2000000000000002-200000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000
χ49222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200002222-2-22200-2-200000000000000000000-2-222000022-2-200000000000000-2200000000000000002-22-200002-22-2000000000000
χ50222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200002222-2-22200-2-200000000000000000000-2-222000022-2-200000000000000-220000000000000000-22-220000-22-22000000000000
χ51222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000-2-2-2-2-2-22200220000000000000000000022-2-20000-2-222000000000000002-200000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ52222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000-2-2-2-2-2-22200220000000000000000000022-2-20000-2-222000000000000002-20000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ53222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000222222-2-200-2-200000000000000000000-2-2220000-2-222000000000000002-200000000000000002-2-2200002-2-22000000000000
χ54222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000222222-2-200-2-200000000000000000000-2-2220000-2-222000000000000002-20000000000000000-222-20000-222-2000000000000
χ55222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000-2-2-2-222-2-200220000000000000000000022-2-2000022-2-200000000000000-2200000000000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ56222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000-2-2-2-222-2-200220000000000000000000022-2-2000022-2-200000000000000-220000000000000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ5722222222-2-2-2-22-2-2-2-222222-2-222-2-200000000222222-2-20000-2-22-222-2-2000000002222-2-2-2-22-22-222-2-200000000000022-2-200002-200000022-2-2002-2000000000000000000000000
χ5822222222-2-2-2-22-2-2-2-222222-2-222-2-200000000222222-2-20000-2-22-222-2-200000000-2-2-2-222222-22-222-2-2000000000000-2-22200002-2000000-2-22200-22000000000000000000000000
χ5922222222-2-2-2-22-2-2-2-222222-2-222-2-2000000002222-2-2220000-2-2-22-2-222000000002222-2-2-2-2-22-2222-2-2000000000000-2-2220000-2200000022-2-200-22000000000000000000000000
χ6022222222-2-2-2-22-2-2-2-222222-2-222-2-2000000002222-2-2220000-2-2-22-2-22200000000-2-2-2-22222-22-2222-2-200000000000022-2-20000-22000000-2-222002-2000000000000000000000000
χ6122222222-2-2-2-22-2-2-2-222222-2-222-2-200000000-2-2-2-222-2-20000222-2-2-222000000002222-2-2-2-22-22-2-2-22200000000000022-2-20000-22000000-2-22200-22000000000000000000000000
χ6222222222-2-2-2-22-2-2-2-222222-2-222-2-200000000-2-2-2-222-2-20000222-2-2-22200000000-2-2-2-222222-22-2-2-222000000000000-2-2220000-2200000022-2-2002-2000000000000000000000000
χ6322222222-2-2-2-22-2-2-2-222222-2-222-2-200000000-2-2-2-2-2-222000022-2222-2-2000000002222-2-2-2-2-22-22-2-222000000000000-2-22200002-2000000-2-222002-2000000000000000000000000
χ6422222222-2-2-2-22-2-2-2-222222-2-222-2-200000000-2-2-2-2-2-222000022-2222-2-200000000-2-2-2-22222-22-22-2-22200000000000022-2-200002-200000022-2-200-22000000000000000000000000
χ6522222222-2-2-2-22-2-2-2-2222-2-222-2-22200000000222222-2-20000-2-22-222-2-22222-2-2-2-200000000-22-22-2-2220000000022-2-200000000-220022-2-200002-200000000000000000000000000
χ6622222222-2-2-2-22-2-2-2-2222-2-222-2-22200000000222222-2-20000-2-22-222-2-2-2-2-2-2222200000000-22-22-2-22200000000-2-22200000000-2200-2-2220000-2200000000000000000000000000
χ6722222222-2-2-2-22-2-2-2-2222-2-222-2-222000000002222-2-2220000-2-2-22-2-2222222-2-2-2-2000000002-22-2-2-22200000000-2-222000000002-20022-2-20000-2200000000000000000000000000
χ6822222222-2-2-2-22-2-2-2-2222-2-222-2-222000000002222-2-2220000-2-2-22-2-222-2-2-2-22222000000002-22-2-2-2220000000022-2-2000000002-200-2-22200002-200000000000000000000000000
χ6922222222-2-2-2-22-2-2-2-2222-2-222-2-22200000000-2-2-2-222-2-20000222-2-2-2222222-2-2-2-200000000-22-2222-2-20000000022-2-2000000002-200-2-2220000-2200000000000000000000000000
χ7022222222-2-2-2-22-2-2-2-2222-2-222-2-22200000000-2-2-2-222-2-20000222-2-2-222-2-2-2-2222200000000-22-2222-2-200000000-2-222000000002-20022-2-200002-200000000000000000000000000
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Here i is the imaginary unit (i² = −1).