Finite Group Databasebeta

← Group #72310458

Character table — Group #72310458

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148
size1111222222222244444444444444888888888888888888161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464646464646464646464646464
order1222222222222222222222222222222222222222224444222222222222224444444444444444444422444444444444444444444444444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11-111-1-11-111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11-111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-11-1-111-1111-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-11-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-11-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ1111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1211111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111111111111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-111-111-1-1-1-11-1-111111111-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111111111111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-111-111-1-1-1-11-1-111111111-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191111111111111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-111-111-1-1-1-11-1-111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ201111111111111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-111-111-1-1-1-11-1-111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ211111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-11-111-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ221111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-11-111-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ231111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-1-111-1111-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ241111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-1-111-1111-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii
χ251111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-11-111-1-11-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii
χ261111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-11-111-1-11-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i
χ271111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-11-1-111-11-1-1111111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i
χ281111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-11-1-111-11-1-1111111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii
χ291111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11111111111-1-111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-111-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ301111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11111111111-1-111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-111-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ311111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ321111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ332222222222222222222222222222222222222222-2-222-2-2-2-2-22222222-2-222-2-2-2-2-2-2-22-2-222-2-2-2-2222200000000-2-2-2-222-2-20000000000000000000000000000000000000000000000000000
χ34222222222222222222222222222222222222-2-222-2-2-2-2-2-2-2-2-2222222-222-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-200000000-2-222-2-2220000000000000000000000000000000000000000000000000000
χ3522222222222222222222222222222222-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-22-2-2-2-2222222220000000022-2-2-2-2220000000000000000000000000000000000000000000000000000
χ3622222222222222222222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-200000000222222-2-20000000000000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-22222-2-222-2-2222222-2-2222222-2-2222-2-2-2-222222-2-2-2-2-2-22222222222-2-2-2-200000000-2-2-2-2-2-2220000000000000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-22222-2-222-2-22222-2-2-2-222-2-222-2-2222-2-2-2-2-2-2-2-2-22222-2-22-2-2-2-2-22222222200000000-2-22222-2-20000000000000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2222222-2-22-2-22222222-2-22222-2-22222-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-20000000000000000000000000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-222-2-222-2-22-2-22222-2-2-222-2-2-2-2-2-22-2-2-222-2-2-2-22222000000002222-2-2220000000000000000000000000000000000000000000000000000
χ412222-2-2-2-2222222-2-2222-2-2-222222-2-2-22-20000222-22222-2-22-2-2000000-22-20000002-22-22-200000022-2-20200-2-202002-200000000000000000000002-22-22-20000000000000000000000000000
χ422222-2-2-2-2222222-2-2222-2-2-222222-2-2-22-20000222-22222-2-22-2-2000000-22-20000002-22-22-200000022-2-20-200220-2002-20000000000000000000000-22-22-220000000000000000000000000000
χ432222-2-2-2-2222222-2-2222-2-2-222222-2-2-22-20000222-2-2-22222-222000000-2-22000000-22-2-2-2200000022-2-220-2-2002000-22000000000000000000002-20000002-22-2000000000000000000000000
χ442222-2-2-2-2222222-2-2222-2-2-222222-2-2-22-20000222-2-2-22222-222000000-2-22000000-22-2-2-2200000022-2-2-202200-2000-2200000000000000000000-22000000-22-22000000000000000000000000
χ452222-2-2-2-2222222-2-2222-2-2-222222-2-2-22-20000-2-22-222-2-2-2-22-2-20000002-220000002-222-22000000-2-2220200-2-20200-2200000000000000000000002-2-22-220000000000000000000000000000
χ462222-2-2-2-2222222-2-2222-2-2-222222-2-2-22-20000-2-22-222-2-2-2-22-2-20000002-220000002-222-22000000-2-2220-200220-200-220000000000000000000000-222-22-20000000000000000000000000000
χ472222-2-2-2-2222222-2-2222-2-2-222222-2-2-22-20000-2-22-2-2-2-2-222-22200000022-2000000-22-222-2000000-2-22220-2-20020002-2000000000000000000002-2000000-22-22000000000000000000000000
χ482222-2-2-2-2222222-2-2222-2-2-222222-2-2-22-20000-2-22-2-2-2-2-222-22200000022-2000000-22-222-2000000-2-222-202200-20002-200000000000000000000-220000002-22-2000000000000000000000000
χ492222-2-2-2-2222222-2-2222-2-2-2-2-2-2-22-222-22000000-222200222-2-20000000002-222-2-2-22-20002-2000000000000000000002-22-200000000000000000000000000000000000000002-22-22-22-20000
χ502222-2-2-2-2222222-2-2222-2-2-2-2-2-2-22-222-22000000-222200222-2-20000000002-222-2-2-22-20002-2000000000000000000002-22-20000000000000000000000000000000000000000-22-22-22-220000
χ512222-2-2-2-2222222-2-2222-2-2-2-2-2-2-22-222-22000000-222200222-2-2000000000-22-2-222-22-2000-2200000000000000000000-22-2200000000000000000000000000000000000000002-22-2-22-220000
χ522222-2-2-2-2222222-2-2222-2-2-2-2-2-2-22-222-22000000-222200222-2-2000000000-22-2-222-22-2000-2200000000000000000000-22-220000000000000000000000000000000000000000-22-222-22-20000
χ532222-2-2-2-2222222-2-2222-2-2-2-2-2-2-22-222-22000000-22-2-200-2-2-2220000000002-2-2-2222-220002-2000000000000000000002-2-220000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i
χ542222-2-2-2-2222222-2-2222-2-2-2-2-2-2-22-222-22000000-22-2-200-2-2-2220000000002-2-2-2222-220002-2000000000000000000002-2-22000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i
χ552222-2-2-2-2222222-2-2222-2-2-2-2-2-2-22-222-22000000-22-2-200-2-2-222000000000-2222-2-22-22000-2200000000000000000000-222-20000000000000000000000000000000000002i−2i2i−2i00000000−2i2i−2i2i
χ562222-2-2-2-2222222-2-2222-2-2-2-2-2-2-22-222-22000000-22-2-200-2-2-222000000000-2222-2-22-22000-2200000000000000000000-222-2000000000000000000000000000000000000−2i2i−2i2i000000002i−2i2i−2i
χ572222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-22000022-222222-2-2-22-2000000-22-2000000-222-22-2000000-2-22220-2-2002000-2200000000000000000000-220000002-2-22000000000000000000000000
χ582222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-22000022-222222-2-2-22-2000000-22-2000000-222-22-2000000-2-222-202200-2000-22000000000000000000002-2000000-222-2000000000000000000000000
χ592222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-22000022-22-2-222222-22000000-2-220000002-2-2-2-22000000-2-2220200-2-202002-20000000000000000000000-222-2-220000000000000000000000000000
χ602222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-22000022-22-2-222222-22000000-2-220000002-2-2-2-22000000-2-2220-200220-2002-200000000000000000000002-2-222-20000000000000000000000000000
χ612222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-220000-2-2-2222-2-2-2-2-22-20000002-22000000-2222-2200000022-2-220-2-20020002-200000000000000000000-22000000-222-2000000000000000000000000
χ622222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-220000-2-2-2222-2-2-2-2-22-20000002-22000000-2222-2200000022-2-2-202200-20002-2000000000000000000002-20000002-2-22000000000000000000000000
χ632222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-220000-2-2-22-2-2-2-2222-2200000022-20000002-2-222-200000022-2-20200-2-20200-220000000000000000000000-22-222-20000000000000000000000000000
χ642222-2-2-2-2222222-2-2-2-2-22222222-22-2-2-220000-2-2-22-2-2-2-2222-2200000022-20000002-2-222-200000022-2-20-200220-200-2200000000000000000000002-22-2-220000000000000000000000000000
χ652222-2-2-2-2222222-2-2-2-2-2222-2-2-2-2-22222-20000002-2220022-22-20000000002-2-2-2222-2-20002-200000000000000000000-222-20000000000000000000000000000000000002-2-22000000002-2-22
χ662222-2-2-2-2222222-2-2-2-2-2222-2-2-2-2-22222-20000002-2220022-22-20000000002-2-2-2222-2-20002-200000000000000000000-222-2000000000000000000000000000000000000-222-200000000-222-2
χ672222-2-2-2-2222222-2-2-2-2-2222-2-2-2-2-22222-20000002-2220022-22-2000000000-2222-2-22-2-2000-22000000000000000000002-2-220000000000000000000000000000000000002-2-2200000000-222-2
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Here i is the imaginary unit (i² = −1).