Finite Group Databasebeta

← Group #72265837

Character table — Group #72265837

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222444444444444444444444488888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222222222224444222244444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ11111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ12111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ171111-1-111111-1-1111-1-1111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-111111-1-1111-1-1111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-111111-1-1111-1-1111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-1111-1-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii
χ201111-1-111111-1-1111-1-1111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-1111-1-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-111-1-1-11-1-111-1-111ii−i−i−i−iiii−i−iii−i−ii
χ221111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-111-1-1-11-1-111-1-111−i−iiiii−i−i−iii−i−iii−i
χ231111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-111-1111-1-111-1-1ii−i−i−i−iii−iii−i−iii−i
χ241111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-111-1111-1-111-1-1−i−iiiii−i−ii−i−iii−i−ii
χ251111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111-1111-1-1-1-111−i−iii−i−iiii−ii−i−ii−ii
χ261111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111-1111-1-1-1-111ii−i−iii−i−i−ii−iii−ii−i
χ271111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-1-11-1-11111-1-1−i−iii−i−iii−ii−iii−ii−i
χ281111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-1-11-1-11111-1-1ii−i−iii−i−ii−ii−i−ii−ii
χ291111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-1111-1-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−i
χ301111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-1111-1-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii
χ311111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-11-111-1-1-1-111−i−iiiii−i−i−iii−ii−i−ii
χ321111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-11-111-1-1-1-111ii−i−i−i−iiii−i−ii−iii−i
χ332222222222222222222222222222222222222-2-222222222222222222-2-2-2-2-2-20000-2-2-2-200000000000000000000-2-2-2-200000000-2-2000000000000000000000000
χ3422222222222222222222222222-2-2-2-2-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000-2-2-2-20000000022000000000000000000000000
χ35222222222222222222-2-2-2-2-2-2-2-222222222222-2-22-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000022220000000022000000000000000000000000
χ36222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-22-2-2-2-2-2-2-2-222222222-2-2-2-2-2-20000222200000000000000000000222200000000-2-2000000000000000000000000
χ3722222222222222-2-2220000000022-2-222-2-2-2-2-222-200002-22-20000000022-2-2-2-222002-22-2220000000000000000000000-2-2-2-20000002-22-200000000000000000000
χ3822222222222222-2-2220000000022-2-222-2-2-2-2-222-200002-22-20000000022-2-2-2-2-2-2002-22-2-2-200000000000000000000002222000000-22-2200000000000000000000
χ3922222222222222-2-2220000000022-2-222-2-2-2-2-2-2-2-200002-22-200000000-2-222220022-22-220022000000000000000000000000-2-2-2-20000002-22-20000000000000000
χ4022222222222222-2-2220000000022-2-222-2-2-2-2-2-2-2-200002-22-200000000-2-2222200-2-2-22-2200-2-20000000000000000000000002222000000-22-220000000000000000
χ4122222222222222-2-22200000000-2-222-2-222-2-2-222-20000-22-220000000022-2-2-2-22200-22-22220000000000000000000000-2-2-2-2000000-22-2200000000000000000000
χ4222222222222222-2-22200000000-2-222-2-222-2-2-222-20000-22-220000000022-2-2-2-2-2-200-22-22-2-2000000000000000000000022220000002-22-200000000000000000000
χ4322222222222222-2-22200000000-2-222-2-222-2-2-2-2-2-20000-22-2200000000-2-2222200222-22-20022000000000000000000000000-2-2-2-2000000-22-220000000000000000
χ4422222222222222-2-22200000000-2-222-2-222-2-2-2-2-2-20000-22-2200000000-2-2222200-2-22-22-200-2-200000000000000000000000022220000002-22-20000000000000000
χ452222222-2-2-2-222222-2-22222-2-2-2-20000000022-22-2-222-2-20000000000002-22-22-20000000000000000000022-2-222-2-22-22-200000000000000000000002-22-200000000
χ462222222-2-2-2-222222-2-22222-2-2-2-20000000022-22-2-222-2-20000000000002-22-22-200000000000000000000-2-222-2-2222-22-20000000000000000000000-22-2200000000
χ472222222-2-2-2-222222-2-22222-2-2-2-20000000022-2-22-222-2-2000000000000-22-22-2200000000000022-2-222-2-200000000-22-220000000000000000002-22-2000000000000
χ482222222-2-2-2-222222-2-22222-2-2-2-20000000022-2-22-222-2-2000000000000-22-22-22000000000000-2-222-2-22200000000-22-22000000000000000000-22-22000000000000
χ492222222-2-2-2-222222-2-2-2-2-2-222220000000022-22-2-2-2-2220000000000002-22-22-20000000000000000000022-2-222-2-2-22-220000000000000000000000-22-2200000000
χ502222222-2-2-2-222222-2-2-2-2-2-222220000000022-22-2-2-2-2220000000000002-22-22-200000000000000000000-2-222-2-222-22-2200000000000000000000002-22-200000000
χ512222222-2-2-2-222222-2-2-2-2-2-222220000000022-2-22-2-2-222000000000000-22-22-2200000000000022-2-222-2-2000000002-22-2000000000000000000-22-22000000000000
χ522222222-2-2-2-222222-2-2-2-2-2-222220000000022-2-22-2-2-222000000000000-22-22-22000000000000-2-222-2-222000000002-22-20000000000000000002-22-2000000000000
χ532222-2-222222-2-2222-2-2222222222222-2-2-2-2-2-22-2-2-2-2-2-2-222-2-22222-2-2-2-222-2-2220000-2-22200000000000000000000-2-22200000000-22000000000000000000000000
χ542222-2-222222-2-2222-2-222222222-2-2-2-22222-2-22-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-222000022-2-200000000000000000000-2-222000000002-2000000000000000000000000
χ552222-2-222222-2-2222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22-2-2-2222222-2-2-2-2-2-2222222-2-2220000-2-2220000000000000000000022-2-2000000002-2000000000000000000000000
χ562222-2-222222-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22-2-2-22222-2-2222222-2-2-2-222-2-222000022-2-20000000000000000000022-2-200000000-22000000000000000000000000
χ572222-2-222222-2-22-2-2-2-20000000022-2-2-2-22222-222200002-2-2200000000-2-2-2-22222002-2-22-2-20000000000000000000000-2-2220000002-2-2200000000000000000000
χ582222-2-222222-2-22-2-2-2-20000000022-2-2-2-22222-222200002-2-2200000000-2-2-2-222-2-2002-2-2222000000000000000000000022-2-2000000-222-200000000000000000000
χ592222-2-222222-2-22-2-2-2-20000000022-2-2-2-22222-2-2-2200002-2-22000000002222-2-20022-222-200-2-2000000000000000000000000-2-2220000002-2-220000000000000000
χ602222-2-222222-2-22-2-2-2-20000000022-2-2-2-22222-2-2-2200002-2-22000000002222-2-200-2-2-222-2002200000000000000000000000022-2-2000000-222-20000000000000000
χ612222-2-222222-2-22-2-2-2-200000000-2-22222-2-222-22220000-222-200000000-2-2-2-2222200-222-2-2-20000000000000000000000-2-222000000-222-200000000000000000000
χ622222-2-222222-2-22-2-2-2-200000000-2-22222-2-222-22220000-222-200000000-2-2-2-222-2-200-222-222000000000000000000000022-2-20000002-2-2200000000000000000000
χ632222-2-222222-2-22-2-2-2-200000000-2-22222-2-222-2-2-220000-222-2000000002222-2-200222-2-2200-2-2000000000000000000000000-2-222000000-222-20000000000000000
χ642222-2-222222-2-22-2-2-2-200000000-2-22222-2-222-2-2-220000-222-2000000002222-2-200-2-22-2-22002200000000000000000000000022-2-20000002-2-220000000000000000
χ652222-2-22-2-2-2-2-2-2222222222-2-2-2-200000000-2-2-22-22-2-222000000000000-222-2-22000000000000000000002i2i−2i−2i−2i−2i2i2i2-2-2200000000000000000000002i−2i−2i2i00000000
χ662222-2-22-2-2-2-2-2-2222222222-2-2-2-200000000-2-2-22-22-2-222000000000000-222-2-2200000000000000000000−2i−2i2i2i2i2i−2i−2i2-2-220000000000000000000000−2i2i2i−2i00000000
χ672222-2-22-2-2-2-2-2-2222222222-2-2-2-200000000-2-2-2-222-2-2220000000000002-2-222-20000000000002i2i−2i−2i−2i−2i2i2i00000000-222-20000000000000000002i−2i−2i2i000000000000
χ682222-2-22-2-2-2-2-2-2222222222-2-2-2-200000000-2-2-2-222-2-2220000000000002-2-222-2000000000000−2i−2i2i2i2i2i−2i−2i00000000-222-2000000000000000000−2i2i2i−2i000000000000
χ692222-2-22-2-2-2-2-2-222222-2-2-2-2222200000000-2-2-22-2222-2-2000000000000-222-2-22000000000000000000002i2i−2i−2i−2i−2i2i2i-222-20000000000000000000000−2i2i2i−2i00000000
χ702222-2-22-2-2-2-2-2-222222-2-2-2-2222200000000-2-2-22-2222-2-2000000000000-222-2-2200000000000000000000−2i−2i2i2i2i2i−2i−2i-222-200000000000000000000002i−2i−2i2i00000000
χ712222-2-22-2-2-2-2-2-222222-2-2-2-2222200000000-2-2-2-22222-2-20000000000002-2-222-20000000000002i2i−2i−2i−2i−2i2i2i000000002-2-22000000000000000000−2i2i2i−2i000000000000
χ722222-2-22-2-2-2-2-2-222222-2-2-2-2222200000000-2-2-2-22222-2-20000000000002-2-222-2000000000000−2i−2i2i2i2i2i−2i−2i000000002-2-220000000000000000002i−2i−2i2i000000000000
χ734444444-4-4-4-4444-4-4-4-40000000000000000-4-444-4400000000000000004-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ744444444-4-4-4-4444-4-4-4-40000000000000000-4-44-4440000000000000000-444-44-4000000000000000000000000000000000000000000000000000000000000000000
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χ76444444-444-4-4-4-4-4004-400000000004400-4-400000000000-40400000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ77444444-444-4-4-4-4-4004-40000000000-4-400440000000000040-4000000000000000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ78444444-444-4-4-4-4-4004-40000000000-4-400440000000000040-400000000000000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).