Finite Group Databasebeta

← Group #72261584

Character table — Group #72261584

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size1111111122222222222244444444444444448888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323264646464
order12222222222222222222222222224444444422222222222244444444444444444444444444444444444444444444444444444444444444444444442244444488888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ911111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-11111-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-11-1-1-1-11111-1-1-1-11111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-11111-1-1-1-1111111-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-111111-1-1-1-11111-1-1-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11111-1-1-1-1-1-1-1-11111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-111111111-1-1-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-111-1-11-1-1-1-1-111111111-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-111-111111-1-1-1-1-1-1-1-1111111-1-1
χ171111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iii−i−iii−i−iii−i−iii-11-11
χ191111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iii−i−iii−i−iii−i−iii1-11-1
χ201111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i-11-11
χ211111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-11-11
χ221111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i1-11-1
χ231111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-111-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-11-11
χ241111111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-111-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii1-11-1
χ251111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i1-1-1-1111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ261111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1-11−i−iiiii−i−i−i−iiiii−i−i-111-1
χ271111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii1-1-1-1111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ281111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1111-1-1-11ii−i−i−i−iiiii−i−i−i−iii-111-1
χ291111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-1-1111-1ii−i−i−i−iii−i−iiiii−i−i-111-1
χ301111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1111-1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-11
χ311111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i1-1-1-1111-1−i−iiiii−i−iii−i−i−i−iii-111-1
χ321111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1111-1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ33222222222222222222222222222222-2-2-2-22222222222222222-2-2-2-2-2-2222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ34222222222222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000
χ35222222222222222222222222-2-2-2-2-2-22222-2-222-2-200000000-2-222-2-2-2-200000000000000002222222222-2-22-2000000000000-2-2-2-20000000022-2-222-2-20000000000000000000000000000
χ36222222222222222222222222-2-2-2-2-2-22222-2-222-2-200000000-2-222-2-2-2-20000000000000000-2-2-2-2-2-2-2-222-2-22-2000000000000222200000000-2-222-2-2220000000000000000000000000000
χ37222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-200000000-2-2-2-22222000000002222222200000000-2-222-2200000000-2-2-2-2000022-2-222-2-2000000000000000000000000000000000000
χ38222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-200000000-2-2-2-2222200000000-2-2-2-2-2-2-2-200000000-2-222-220000000022220000-2-222-2-222000000000000000000000000000000000000
χ3922222222222222222222-2-2-2-22222-2-22222-2-2-2-22200000000-2-222-2-2-2-2000000002222222200000000-2-222-2200000000-2-2-2-20000-2-222-2-222000000000000000000000000000000000000
χ4022222222222222222222-2-2-2-22222-2-22222-2-2-2-22200000000-2-222-2-2-2-200000000-2-2-2-2-2-2-2-200000000-2-222-22000000002222000022-2-222-2-2000000000000000000000000000000000000
χ4122222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000000000002222222222-2-22-2000000000000-2-2-2-200000000-2-222-2-2220000000000000000000000000000
χ4222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000-2-2-2-2-2-2-2-222-2-22-200000000000022220000000022-2-222-2-20000000000000000000000000000
χ4322222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ4422222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000
χ452222222222-2-2-2-222-2-2-2-22222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000002222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000
χ462222222222-2-2-2-222-2-2-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-2222200000000000000002222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000
χ472222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2220000000022-2-222-2-2000000002i2i2i2i−2i−2i−2i−2i0000000022-2-2-2200000000−2i−2i2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ482222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2220000000022-2-222-2-200000000−2i−2i−2i−2i2i2i2i2i0000000022-2-2-22000000002i2i−2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ492222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000002222-2-22200000000000000002i2i2i2i−2i−2i−2i−2i-2-2222-2000000000000−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ502222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000002222-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i-2-2222-20000000000002i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ512222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-20000000022-2-222-2-200000000000000002i2i2i2i−2i−2i−2i−2i-2-2222-2000000000000−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ522222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-20000000022-2-222-2-20000000000000000−2i−2i−2i−2i2i2i2i2i-2-2222-20000000000002i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ532222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-2000000002222-2-222000000002i2i2i2i−2i−2i−2i−2i0000000022-2-2-2200000000−2i−2i2i2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ542222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-2000000002222-2-22200000000−2i−2i−2i−2i2i2i2i2i0000000022-2-2-22000000002i2i−2i−2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ552222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-22222-2-2-2-2-2-2222200000000000000002222-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ562222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-22222-2-22222-2-2-2-200000000000000002222-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ57222-2-22-2-22-200002-2000022-2-222-2-22-22i2i−2i−2i2-20000000022-2-20000002i−2i000022-2-21+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2i−2i2i−2i002i−2i002i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000000000000000
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χ1244-4-4-4-4444-4-40000440000-444-4-444-4-4400004-400000000-444-40000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ125888-8-88-8-8-880000-88000000000000008i−8i−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12788-88-8-88-800008-800080-800000000000000000000000000000000000000000000000000004i−4i4i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
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χ12988-88-8-88-80000-88000-80800000000000000000000000000000000000000000000000000004-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000
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χ13188-8-88-8-88008-8000080-8000000000000000000000000000000000000000000000000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).