Finite Group Databasebeta

← Group #72266321

Character table — Group #72266321

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145
size11112222444444444448888888888888888888888888888888888888888816161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323264646464128128128128128128128128128128128128
order1222222222222222222222222222222222222222222222224444444444442222224444444444442224444444444444444444444444444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ9111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-111-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-1ii−i−iii−i−i
χ10111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-111-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-1−i−iii−i−iii
χ11111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-111−i−iii−i−iii
χ12111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-111ii−i−iii−i−i
χ13111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1111-111-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-111ii−i−i−i−iii
χ14111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1111-111-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-111−i−iiiii−i−i
χ15111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii111111-1-1−i−iiiii−i−i
χ16111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i111111-1-1ii−i−i−i−iii
χ1711111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-11111-1-1111-11-111-111-111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-11-11-11-11-1
χ1811111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-11111-1-1111-11-111-111-111-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-11-1-11-11-11-11
χ1911111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-11111-1-1111-11-111-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-11-11-11-11
χ2011111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-11111-1-1111-11-111-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-11-111-11-11-11-1
χ2111111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-11-111111-1-111-11-1111-111-111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-111-11-1-11-11
χ2211111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-11-111111-1-111-11-1111-111-111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-11-11-11-111-11-1
χ2311111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-11-111111-1-111-11-1111-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1-11-111-11-1
χ2411111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-11-111111-1-111-11-1111-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-11-11-11-1-11-11
χ2511111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1111-1-11-1-111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1111-1-11i−i−iii−i−ii
χ2611111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1111-1-11-1-111-1-1-1-11-1-11-1-1-1111111-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-11−iii−i−iii−i
χ2711111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1111-1-11-1-111-1-1-1-11-1-11-1-1-1-1-11-1-11111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-111-1−iii−i−iii−i
χ2811111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1111-1-11-1-111-1-1-1-11-1-11-1-1-1-1-11-1-11111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-111-1i−i−iii−i−ii
χ2911111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-11111-1-1-111-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-111-1i−i−ii−iii−i
χ3011111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-11111-1-1-111-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-111-1−iii−ii−i−ii
χ3111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-11111-1-1-111-1-1-111-1-1-1-1-111-1-1-1-1-1-11-1-111111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1-11−iii−ii−i−ii
χ3211111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-11111-1-1-111-1-1-111-1-1-1-1-111-1-1-1-1-1-11-1-111111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-11-1-11i−i−ii−iii−i
χ3322222222222222222222222222-2-2-2-222222200000000-2-2-2-2-2-2-2-200000000000022-2-222-2-20000-2-2-200200-200000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000
χ3422222222222222222222222222-2-2-2-222222200000000-2-2-2-2-2-2-2-200000000000022-2-222-2-20000-2-2-200200-2000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ352222222222222222222-2-2-2-222222222222222222222222222222222222222222-2-2-2-2-2-2222222-2-2-200-200-20000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ362222222222222222222-2-2-2-22222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-200-200-2000022222222000000000000000000000000000000000000000000000000
χ372222222222222222222-2-2-2-2222-2-2-2-222222200000000-2-2-2-2-2-2-2-2000000000000-2-222-2-2-2-2000022200-2002000000000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ382222222222222222222-2-2-2-2222-2-2-2-222222200000000-2-2-2-2-2-2-2-2000000000000-2-222-2-2-2-2000022200-20020000000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ39222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-22222000000000000-2-2-2-22222000022-200-20020000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ40222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-22222000000000000-2-2-2-22222000022-200-2002000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ41222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-222-2-222-20020020000-2-2-2-22222000000000000000000000000000000000000000000000000
χ42222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222-200200200002222-2-2-2-2000000000000000000000000000000000000000000000000
χ43222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-222220000000000002222-2-2220000-2-2200200-200000000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ44222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-222220000000000002222-2-2220000-2-2200200-20000000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ4522222222222-2-22222222222-2-2-2222222-2-2-2-200000000-2-2-2-2222200000000000022-2-2-2-2-2-20000-2-2200-200200000000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ4622222222222-2-22222222222-2-2-2222222-2-2-2-200000000-2-2-2-2222200000000000022-2-2-2-2-2-20000-2-2200-2002000000000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ4722222222222-2-2222222-2-2-2-2-2-2-2222222-2-2-2-200000000-2-2-2-22222000000000000-2-22222-2-2000022-200200-2000000000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
χ4822222222222-2-2222222-2-2-2-2-2-2-2222222-2-2-2-200000000-2-2-2-22222000000000000-2-22222-2-2000022-200200-20000000000000000000000000000-2-22222-2-2-2-22222-2-20000000000000000
χ4922222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-222-2-22222-2-2-2-222-2-222-2-22-22-2-2-2-2-222222-22-2-2-220020020000-2-222-2-222000000000000000000000000000000000000000000000000
χ5022222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-2222222-2-2-2-2-2-222-2-222-22-22-2-2-2-22222-22-22-2-22002002000022-2-222-2-2000000000000000000000000000000000000000000000000
χ5122222222222-2-222-2-2-2-22222-2-2-22222-2-2222200000000-2-2-2-2-2-2-2-2000000000000-2-2-2-2-2-222000022200200-20000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ5222222222222-2-222-2-2-2-22222-2-2-22222-2-2222200000000-2-2-2-2-2-2-2-2000000000000-2-2-2-2-2-222000022200200-2000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ5322222222222-2-222-2-2-2-2-2-2-2-2-2-2-22222-2-2222200000000-2-2-2-2-2-2-2-2000000000000222222220000-2-2-200-200200000000000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ5422222222222-2-222-2-2-2-2-2-2-2-2-2-2-22222-2-2222200000000-2-2-2-2-2-2-2-2000000000000222222220000-2-2-200-20020000000000000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ5522222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222222222-2-2-2-2222-2-2222-2-222-2-22-2-2222200-200-20000-2-22222-2-2000000000000000000000000000000000000000000000000
χ5622222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222222222-2-22222-2-2-222-222-2-222-2-2-222-222200-200-2000022-2-2-2-222000000000000000000000000000000000000000000000000
χ572222-222-22-2-200-22222222-2-20000000-2-200000022002222-2-20000002200220-20-22-22-2002-20-20-22-200000000000002-2002-200002-22-200002-22-22-22-200002-22-200000000000000000000
χ582222-222-22-2-200-22222222-2-20000000-2-200000022002222-2-20000002200220-20-22-22-2002-20-20-22-200000000000002-2002-20000-22-220000-22-22-22-220000-22-2200000000000000000000
χ592222-222-22-2-200-22222222-2-20000000-2-2000000-2-200-2-222-2-2000000-2-200-2-202022-22-2002-202022-20000000000000-2200-2200002-22-200002-22-2-22-220000-22-2200000000000000000000
χ602222-222-22-2-200-22222222-2-20000000-2-2000000-2-200-2-222-2-2000000-2-200-2-202022-22-2002-202022-20000000000000-2200-220000-22-220000-22-222-22-200002-22-200000000000000000000
χ612222-222-22-2-200-22222222-2-20000000-2-2000022002200-2-222000022002200-20-202-2-2200-22-20-20-22000000000002-2002-20000002-2-2200002-2-2200002-22-200002-22-20000000000000000
χ622222-222-22-2-200-22222222-2-20000000-2-2000022002200-2-222000022002200-20-202-2-2200-22-20-20-22000000000002-2002-2000000-222-20000-222-20000-22-220000-22-220000000000000000
χ632222-222-22-2-200-22222222-2-20000000-2-20000-2-200-2-200-2-2220000-2-200-2-20020202-2-2200-222020-2200000000000-2200-220000002-2-2200002-2-220000-22-220000-22-220000000000000000
χ642222-222-22-2-200-22222222-2-20000000-2-20000-2-200-2-200-2-2220000-2-200-2-20020202-2-2200-222020-2200000000000-2200-22000000-222-20000-222-200002-22-200002-22-20000000000000000
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Here i is the imaginary unit (i² = −1).