Finite Group Databasebeta

← Group #11788179

Character table — Group #11788179

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444466666666666666666666666666666666666666666666666624242424242424242424242472727272
order1222444422222233444444666666666666666666121212121212121212121212121212121212121236666666666666666666661212121212121212121212121212121212121212121244444444444444441212121212121212121212121212121212121212121212121212121212121212888824242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11
χ6111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1
χ7111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-111-1
χ8111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111-1-11
χ91111-1-1-1-1-111-1-1-1111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−iii−i−iii−i−i11-1-1
χ101111-1-1-1-1-111-1-1-1111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii−i−iii−i−iii-1-111
χ111111-1-1-1-1-111-1-1-1111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−iii−i−iii−i−i-1-111
χ121111-1-1-1-1-111-1-1-1111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−i−iii−i−iii11-1-1
χ131111-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−iiii−i−i−i−iii1-11-1
χ141111-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i−i−iiiii−i−i-11-11
χ151111-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−iiii−i−i−i−iii-11-11
χ161111-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i−i−iiiii−i−i1-11-1
χ17222222222222222-122222222-1-122222222222-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ18222222222222222-122222222-1-122222222222-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2-2-2111111110000
χ1922222222222222-12222222-1-122-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222222222-12222222-1-122-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111110000000000000000
χ21222222222-2-2-2-222-122-2-2-2-222-1-122-2-2-2-2-2-2-2-22-12222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000000000000000000022-2-2-1-1-1-111110000
χ22222222222-2-2-2-222-122-2-2-2-222-1-122-2-2-2-2-2-2-2-22-12222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000000000-2-2221111-1-1-1-10000
χ23222222222-2-2-2-22-1222-2-2-2-2-1-122-1-111111111-12-1-1-1-1-1-1-1-1-1-1111111112222-122-2-2-2-2-1-1-1-1-1-111111111-122-2-2-2-2-1-1-1-1-1-1-1-11111111122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ24222222222-2-2-2-22-1222-2-2-2-2-1-122-1-111111111-12-1-1-1-1-1-1-1-1-1-1111111112222-122-2-2-2-2-1-1-1-1-1-111111111-122-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2522222222-222-2-2-222-2-2-2-2222222-2-22222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2222222222-2-222-2-222-2-2-2-22222-2-2-2-22-2-2-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000
χ2622222222-222-2-2-22-1-2-2-2-22222-1-1-2-22222-2-2-2-22-1-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-111-1-111-1-11111-1-1-1-11111-11111-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2722222222-222-2-2-22-1-2-2-2-22222-1-1-2-22222-2-2-2-22-1-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-111-1-111-1-11111-1-1-1-11111-11111-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2822222222-222-2-2-2-12-2-2-2-222-1-12211-1-1-1-11111-12111111-1-1-1-11111-1-1-1-12222-1-2-222-2-2-1-11111-1-1-1-11111-1-2-2-2-2221111-1-1-1-11111-1-1-1-100000000000000003333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ2922222222-222-2-2-2-12-2-2-2-222-1-12211-1-1-1-11111-12111111-1-1-1-11111-1-1-1-12222-1-2-222-2-2-1-11111-1-1-1-11111-1-2-2-2-2221111-1-1-1-11111-1-1-1-10000000000000000−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ3022222222-2-2-222-222-2-222-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-222222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-222222-2-222-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ3122222222-2-2-222-22-1-2-222-2-222-1-1-2-2-2-2-2-222222-1-2-2-2-2-2-222222222-2-2-2-2-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ3222222222-2-2-222-22-1-2-222-2-222-1-1-2-2-2-2-2-222222-1-2-2-2-2-2-222222222-2-2-2-2-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ3322222222-2-2-222-2-12-2-222-2-2-1-122111111-1-1-1-1-12111111-1-1-1-1-1-1-1-111112222-1-2-2-2-222-1-111111111-1-1-1-1-1-2-222-2-21111-1-1-1-1-1-1-1-1111100000000000000003333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ3422222222-2-2-222-2-12-2-222-2-2-1-122111111-1-1-1-1-12111111-1-1-1-1-1-1-1-111112222-1-2-2-2-222-1-111111111-1-1-1-1-1-2-222-2-21111-1-1-1-1-1-1-1-111110000000000000000−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ352222-2-2-2-222222222-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ362222-2-2-2-22222222-1-2-2-2-2-2-222-1-122222222222-122-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111100000000000000000000000000000000000000000000000000003−3−333−3−330000
χ372222-2-2-2-22222222-1-2-2-2-2-2-222-1-122222222222-122-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111110000000000000000000000000000000000000000000000000000−333−3−333−30000
χ382222-2-2-2-2222222-12-2-2-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-12-1-11111111111111111-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000000000000000
χ392222-2-2-2-2222222-12-2-2-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-12-1-11111111111111111-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000000000000000
χ402222-2-2-2-22-2-2-2-2222-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-22-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000
χ412222-2-2-2-22-2-2-2-222-1-2-2222222-1-122-2-2-2-2-2-2-2-22-122-2-2-2-2-2-2-2-2222222221111-1-1-11111-1-1-1-1-1-111111111-111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000003−3−33−333−30000
χ422222-2-2-2-22-2-2-2-222-1-2-2222222-1-122-2-2-2-2-2-2-2-22-122-2-2-2-2-2-2-2-2222222221111-1-1-11111-1-1-1-1-1-111111111-111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000−333−33−3−330000
χ432222-2-2-2-22-2-2-2-22-12-2-22222-1-122-1-111111111-12-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-122-2-2-2-2-1-1-1-1-1-111111111-1-2-2222211111111-1-1-1-1-1-1-1-10000000000000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000000000000000
χ442222-2-2-2-22-2-2-2-22-12-2-22222-1-122-1-111111111-12-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-122-2-2-2-2-1-1-1-1-1-111111111-1-2-2222211111111-1-1-1-1-1-1-1-10000000000000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000000000000000
χ452222-2-2-2-2-222-2-2-22-12222-2-222-1-1-2-22222-2-2-2-22-1-2-22222-2-2-2-22222-2-2-2-21111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-111110000000000000000000000000000000000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ462222-2-2-2-2-222-2-2-22-12222-2-222-1-1-2-22222-2-2-2-22-1-2-22222-2-2-2-22222-2-2-2-21111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ472222-2-2-2-2-222-2-2-2-122222-2-2-1-12211-1-1-1-11111-1211-1-1-1-11111-1-1-1-11111-2-2-2-2-1-2-222-2-2-1-11111-1-1-1-11111-12222-2-2-1-1-1-11111-1-1-1-111112i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ482222-2-2-2-2-222-2-2-2-122222-2-2-1-12211-1-1-1-11111-1211-1-1-1-11111-1-1-1-11111-2-2-2-2-1-2-222-2-2-1-11111-1-1-1-11111-12222-2-2-1-1-1-11111-1-1-1-11111−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ492222-2-2-2-2-2-2-222-22-122-2-22222-1-1-2-2-2-2-2-222222-1-2-22222-2-2-2-2-2-2-2-222221111-11111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-10000000000000000000000000000000000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ502222-2-2-2-2-2-2-222-22-122-2-22222-1-1-2-2-2-2-2-222222-1-2-22222-2-2-2-2-2-2-2-222221111-11111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000000000000000−2i2i2i−2iii−i−i−i−iii0000
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χ522222-2-2-2-2-2-2-222-2-1222-2-222-1-122111111-1-1-1-1-1211-1-1-1-111111111-1-1-1-1-2-2-2-2-1-2-2-2-222-1-111111111-1-1-1-1-122-2-222-1-1-1-111111111-1-1-1-1−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
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χ5822-2-22i2i−2i−2i0002-20-12002i−2i00-112-2i3−i3i3i3−i3−i3-1-1111-2i3−i3−3−333−i−iii−i−iii−3−3332i2i−2i−2i-100002-2-11i3i3−i3−i3i3i3−i3−i3-1-1111002i−2i00−3−333−i−iii−i−iii−3−333−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+iζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ10+ζ110000000000000000
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χ6022-2-22i2i−2i−2i000-2202200−2i2i002-22-2000000-2-222-2-20000002i2i−2i−2i−2i−2i2i2i00002i2i−2i−2i20000-222-200000000-2-222-200−2i2i0000002i2i−2i−2i−2i−2i2i2i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000000000000000
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χ6222-2-22i2i−2i−2i000-220-1200−2i2i00-112-2−i3i3i3i3−i3−i311-1-11-2−i3i333−3−3−i−iiiii−i−i−3−3332i2i−2i−2i-10000-22-11−i3−i3i3i3i3i3−i3−i311-1-1100−2i2i0033−3−3−i−iiiii−i−i−3−333−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−iζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ70000000000000000
χ6322-2-22i2i−2i−2i000-220-1200−2i2i00-112-2i3−i3−i3−i3i3i311-1-11-2i3−i3−3−333−i−iiiii−i−i33−3−32i2i−2i−2i-10000-22-11i3i3−i3−i3−i3−i3i3i311-1-1100−2i2i00−3−333−i−iiiii−i−i33−3−31+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ10+ζ110000000000000000
χ6422-2-22i2i−2i−2i000-220-1200−2i2i00-112-2i3−i3−i3−i3i3i311-1-11-2i3−i3−3−333−i−iiiii−i−i33−3−32i2i−2i−2i-10000-22-11i3i3−i3−i3−i3−i3i3i311-1-1100−2i2i00−3−333−i−iiiii−i−i33−3−3−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−iζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ10−ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ10−ζ110000000000000000
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χ7422-2-2−2i−2i2i2i000-220-12002i−2i00-112-2−i3i3i3i3−i3−i311-1-11-2−i3i3−3−333ii−i−i−i−iii33−3−3−2i−2i2i2i-10000-22-11−i3−i3i3i3i3i3−i3−i311-1-11002i−2i00−3−333ii−i−i−i−iii33−3−3−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+iζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ70000000000000000
χ7522-2-2−2i−2i2i2i000-220-12002i−2i00-112-2i3−i3−i3−i3i3i311-1-11-2i3−i333−3−3ii−i−i−i−iii−3−333−2i−2i2i2i-10000-22-11i3i3−i3−i3−i3−i3i3i311-1-11002i−2i0033−3−3ii−i−i−i−iii−3−3331−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ10−ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ10−ζ110000000000000000
χ7622-2-2−2i−2i2i2i000-220-12002i−2i00-112-2i3−i3−i3−i3i3i311-1-11-2i3−i333−3−3ii−i−i−i−iii−3−333−2i−2i2i2i-10000-22-11i3i3−i3−i3−i3−i3i3i311-1-11002i−2i0033−3−3ii−i−i−i−iii−3−333−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+iζ10+ζ11ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ10−ζ11ζ10−ζ11−ζ10+ζ11−ζ10+ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ110000000000000000
χ772-22-22i−2i2i−2i02-20002200002i−2i-22-22002-22-20000-2-20000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i2002-200-2200002-22-20000-200002i−2i00002i−2i2i−2i00002i−2i2i−2i1+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−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+i1−i−1+i0000000000000000
χ782-22-22i−2i2i−2i02-20002200002i−2i-22-22002-22-20000-2-20000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i2002-200-2200002-22-20000-200002i−2i00002i−2i2i−2i00002i−2i2i−2i−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−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+i1−i−1+i1−i0000000000000000
χ792-22-22i−2i2i−2i02-2000-1200002i−2i1-1-22−i3i3-11-11−i3i3−i3i31-2i3−i33−33−3−ii−ii3−33−3−ii−ii2i−2i2i−2i-1002-2001-1−i3i3−i3i3-11-11−i3i3−i3i3100002i−2i3−33−3−ii−ii3−33−3−ii−ii1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ110000000000000000
χ802-22-22i−2i2i−2i02-2000-1200002i−2i1-1-22−i3i3-11-11−i3i3−i3i31-2i3−i33−33−3−ii−ii3−33−3−ii−ii2i−2i2i−2i-1002-2001-1−i3i3−i3i3-11-11−i3i3−i3i3100002i−2i3−33−3−ii−ii3−33−3−ii−ii−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−iζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ110000000000000000
χ812-22-22i−2i2i−2i02-2000-1200002i−2i1-1-22i3−i3-11-11i3−i3i3−i31-2−i3i3−33−33−ii−ii−33−33−ii−ii2i−2i2i−2i-1002-2001-1i3−i3i3−i3-11-11i3−i3i3−i3100002i−2i−33−33−ii−ii−33−33−ii−ii1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ70000000000000000
χ822-22-22i−2i2i−2i02-2000-1200002i−2i1-1-22i3−i3-11-11i3−i3i3−i31-2−i3i3−33−33−ii−ii−33−33−ii−ii2i−2i2i−2i-1002-2001-1i3−i3i3−i3-11-11i3−i3i3−i3100002i−2i−33−33−ii−ii−33−33−ii−ii−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−iζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ70000000000000000
χ832-22-22i−2i2i−2i0-22000220000−2i2i-22-2200-22-220000-2-20000002i−2i2i−2i0000−2i2i−2i2i2i−2i2i−2i200-2200-220000-22-220000-20000−2i2i00002i−2i2i−2i0000−2i2i−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000000000000000
χ842-22-22i−2i2i−2i0-22000220000−2i2i-22-2200-22-220000-2-20000002i−2i2i−2i0000−2i2i−2i2i2i−2i2i−2i200-2200-220000-22-220000-20000−2i2i00002i−2i2i−2i0000−2i2i−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000000000000000
χ852-22-22i−2i2i−2i0-22000-120000−2i2i1-1-22−i3i31-11-1i3−i3i3−i31-2i3−i33−33−3−ii−ii−33−33i−ii−i2i−2i2i−2i-100-22001-1−i3i3−i3i31-11-1i3−i3i3−i310000−2i2i3−33−3−ii−ii−33−33i−ii−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ110000000000000000
χ862-22-22i−2i2i−2i0-22000-120000−2i2i1-1-22−i3i31-11-1i3−i3i3−i31-2i3−i33−33−3−ii−ii−33−33i−ii−i2i−2i2i−2i-100-22001-1−i3i3−i3i31-11-1i3−i3i3−i310000−2i2i3−33−3−ii−ii−33−33i−ii−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+iζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ110000000000000000
χ872-22-22i−2i2i−2i0-22000-120000−2i2i1-1-22i3−i31-11-1−i3i3−i3i31-2−i3i3−33−33−ii−ii3−33−3i−ii−i2i−2i2i−2i-100-22001-1i3−i3i3−i31-11-1−i3i3−i3i310000−2i2i−33−33−ii−ii3−33−3i−ii−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ70000000000000000
χ882-22-22i−2i2i−2i0-22000-120000−2i2i1-1-22i3−i31-11-1−i3i3−i3i31-2−i3i3−33−33−ii−ii3−33−3i−ii−i2i−2i2i−2i-100-22001-1i3−i3i3−i31-11-1−i3i3−i3i310000−2i2i−33−33−ii−ii3−33−3i−ii−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+iζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ70000000000000000
χ892-22-2−2i2i−2i2i02-2000220000−2i2i-22-22002-22-20000-2-2000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i2002-200-2200002-22-20000-20000−2i2i0000−2i2i−2i2i0000−2i2i−2i2i1−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+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−i1+i−1−i0000000000000000
χ902-22-2−2i2i−2i2i02-2000220000−2i2i-22-22002-22-20000-2-2000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i2002-200-2200002-22-20000-20000−2i2i0000−2i2i−2i2i0000−2i2i−2i2i−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+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−i1+i−1−i1+i0000000000000000
χ912-22-2−2i2i−2i2i02-2000-120000−2i2i1-1-22−i3i3-11-11−i3i3−i3i31-2i3−i3−33−33i−ii−i−33−33i−ii−i−2i2i−2i2i-1002-2001-1−i3i3−i3i3-11-11−i3i3−i3i310000−2i2i−33−33i−ii−i−33−33i−ii−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ110000000000000000
χ922-22-2−2i2i−2i2i02-2000-120000−2i2i1-1-22−i3i3-11-11−i3i3−i3i31-2i3−i3−33−33i−ii−i−33−33i−ii−i−2i2i−2i2i-1002-2001-1−i3i3−i3i3-11-11−i3i3−i3i310000−2i2i−33−33i−ii−i−33−33i−ii−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+iζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ110000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.