Finite Group Databasebeta

← Group #11785444

Character table — Group #11785444

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444466666666666666666666666666666666666666666666666624242424242424242424242472727272
order1222444422334466666666668888888812121212121212121212121224242424242424242424242424242424366666666612121212121212121212242424242424242424242424242424242424242424242424222244446666666688888888121212121212121224242424242424242424242424242424888824242424242424248888
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
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ101111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−iii−i−iii−i−i−ii−ii
χ121111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−ii−i−iii−i−iiii−ii−i
χ131111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iiii−i−ii
χ141111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i−iii−i
χ151111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ161111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ1722222222222-12222-1-1-1-1-1-12-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222222-12222-1-1-1-1-1-12-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111111111110000000000000000
χ1922222222222-12222-1-1-1-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-12222-1-11111111111111111-122-1-1-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-21111111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ2022222222222-12222-1-1-1-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-12222-1-11111111111111111-122-1-1-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-2111111112222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ212222222222-1222-1-1222222-1222222222222222-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ222222222222-1222-1-1222222-1222222222222222-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2-2-2111111110000
χ232222222222-1222-1-1222222-12-2-2-2-2-2-2-2-2222222-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000000000000000000000000000000022-2-2-1-1-1-111110000
χ242222222222-1222-1-1222222-12-2-2-2-2-2-2-2-2222222-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000000000000000-2-2221111-1-1-1-10000
χ2522222222-2-222-2-22222-2-2-2-22200000000-2-222222222-2-200000000000000002-2-222-2-2-2-22-2-2-22222-2-2-200000000000000000000000022-2-2-2-2222222-2-2-2-200000000-2-2-2-2222200000000000000000000000000000000
χ2622222222-2-222-2-22222-2-2-2-22200000000-2-222222222-2-200000000000000002-2-222-2-2-2-22-2-2-22222-2-2-2000000000000000000000000-2-22222-2-2-2-2-2-22222000000002222-2-2-2-200000000000000000000000000000000
χ2722222222-2-22-1-2-222-1-111112-10000000011-1-1-1-12222113333−3−3−3−33333−3−3−3−3-1-2-2-1-11111-1-211-1-1-1-1-21100003333−3−3−3−300003333−3−3−3−322-2-2-2-222-1-1-1-11111000000001111-1-1-1-13333−3−3−3−33333−3−3−3−30000000000000000
χ2822222222-2-22-1-2-222-1-111112-10000000011-1-1-1-12222113333−3−3−3−33333−3−3−3−3-1-2-2-1-11111-1-211-1-1-1-1-21100003333−3−3−3−300003333−3−3−3−3-2-22222-2-21111-1-1-1-100000000-1-1-1-11111−3−3−3−33333−3−3−3−333330000000000000000
χ2922222222-2-22-1-2-222-1-111112-10000000011-1-1-1-1222211−3−3−3−33333−3−3−3−33333-1-2-2-1-11111-1-211-1-1-1-1-2110000−3−3−3−333330000−3−3−3−3333322-2-2-2-222-1-1-1-11111000000001111-1-1-1-1−3−3−3−33333−3−3−3−333330000000000000000
χ3022222222-2-22-1-2-222-1-111112-10000000011-1-1-1-1222211−3−3−3−33333−3−3−3−33333-1-2-2-1-11111-1-211-1-1-1-1-2110000−3−3−3−333330000−3−3−3−33333-2-22222-2-21111-1-1-1-100000000-1-1-1-111113333−3−3−3−33333−3−3−3−30000000000000000
χ312222-2-2-2-22222-2-2222222222200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-22222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ322222-2-2-2-22222-2-2222222222200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-22222-2-2-2-2-2-2-2-2000000002222222200000000000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-1-1-1-1-12-100000000111111-2-2-2-2113333−3−3−3−3−3−3−3−33333-122-1-1-1-1-1-1-1-2111111-21100003333−3−3−3−30000−3−3−3−333332222-2-2-2-2-1-1-1-1-1-1-1-100000000111111113333−3−3−3−3−3−3−3−333330000000000000000
χ342222-2-2-2-2222-1-2-222-1-1-1-1-1-12-100000000111111-2-2-2-2113333−3−3−3−3−3−3−3−33333-122-1-1-1-1-1-1-1-2111111-21100003333−3−3−3−30000−3−3−3−33333-2-2-2-222221111111100000000-1-1-1-1-1-1-1-1−3−3−3−333333333−3−3−3−30000000000000000
χ352222-2-2-2-2222-1-2-222-1-1-1-1-1-12-100000000111111-2-2-2-211−3−3−3−333333333−3−3−3−3-122-1-1-1-1-1-1-1-2111111-2110000−3−3−3−3333300003333−3−3−3−32222-2-2-2-2-1-1-1-1-1-1-1-10000000011111111−3−3−3−333333333−3−3−3−30000000000000000
χ362222-2-2-2-2222-1-2-222-1-1-1-1-1-12-100000000111111-2-2-2-211−3−3−3−333333333−3−3−3−3-122-1-1-1-1-1-1-1-2111111-2110000−3−3−3−3333300003333−3−3−3−3-2-2-2-222221111111100000000-1-1-1-1-1-1-1-13333−3−3−3−3−3−3−3−333330000000000000000
χ372222-2-2-2-2-2-22-12222-1-111112-12222-2-2-2-2-1-11111-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-2-2-1-11111-12-1-111112-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-222-2-2-1-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000
χ382222-2-2-2-2-2-22-12222-1-111112-12222-2-2-2-2-1-11111-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-1-2-2-1-11111-12-1-111112-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-222-2-2221111-1-1-1-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ392222-2-2-2-2-2-22-12222-1-111112-1-2-2-2-22222-1-11111-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-2-2-1-11111-12-1-111112-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000
χ402222-2-2-2-2-2-22-12222-1-111112-1-2-2-2-22222-1-11111-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-2-2-1-11111-12-1-111112-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-12222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ412222-2-2-2-2-2-2-1222-1-122-2-2-2-2-122222-2-2-2-222-2-2-2-211112222222222-2-2-2-2-2-2-2-2-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000000000000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ422222-2-2-2-2-2-2-1222-1-122-2-2-2-2-122222-2-2-2-222-2-2-2-211112222222222-2-2-2-2-2-2-2-2-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ432222-2-2-2-2-2-2-1222-1-122-2-2-2-2-12-2-2-2-2222222-2-2-2-2111122-2-2-2-2-2-2-2-222222222-111-1-11111-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ442222-2-2-2-2-2-2-1222-1-122-2-2-2-2-12-2-2-2-2222222-2-2-2-2111122-2-2-2-2-2-2-2-222222222-111-1-11111-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ4522-2-22i2i−2i−2i0022002-22-20000-2-222−2−2−i2−i2i2i2002i2i−2i−2i2i2i−2i−2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i22002-20000-20002i2i−2i−2i00022−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002-22i−2i00000022-2-2−i2−i2i2i222−2−22i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
χ4622-2-22i2i−2i−2i0022002-22-20000-2-222−2−2−i2−i2i2i2002i2i−2i−2i2i2i−2i−2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i22002-20000-20002i2i−2i−2i00022−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200-22−2i2i000000-2-222i2i2−i2−i2−2−222−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ4722-2-22i2i−2i−2i0022002-22-20000-2-2−2−222i2i2−i2−i2002i2i−2i−2i2i2i−2i−2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i22002-20000-20002i2i−2i−2i000−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002-22i−2i00000022-2-2i2i2−i2−i2−2−2222i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ4822-2-22i2i−2i−2i0022002-22-20000-2-2−2−222i2i2−i2−i2002i2i−2i−2i2i2i−2i−2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i22002-20000-20002i2i−2i−2i000−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200-22−2i2i000000-2-222−i2−i2i2i222−2−2−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
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χ5022-2-22i2i−2i−2i002-1002-2-11−i3−i3i3i3-2122−2−2−i2−i2i2i23−3−i−iii2i2i−2i−2i3−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-100-11−i3−i3i3i3103−3−i−iii03−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700-22−2i2i00i3i3−i3−i311-1-1i2i2−i2−i2−2−222ii−i−i−3−333−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ5122-2-22i2i−2i−2i002-1002-2-11−i3−i3i3i3-21−2−222i2i2−i2−i23−3−i−iii2i2i−2i−2i3−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-100-11−i3−i3i3i3103−3−i−iii03−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002-22i−2i00−i3−i3i3i3-1-111i2i2−i2−i2−2−222−i−iii33−3−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ5222-2-22i2i−2i−2i002-1002-2-11−i3−i3i3i3-21−2−222i2i2−i2−i23−3−i−iii2i2i−2i−2i3−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-100-11−i3−i3i3i3103−3−i−iii03−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700-22−2i2i00i3i3−i3−i311-1-1−i2−i2i2i222−2−2ii−i−i−3−333ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ5322-2-22i2i−2i−2i002-1002-2-11i3i3−i3−i3-2122−2−2−i2−i2i2i2−33−i−iii2i2i−2i−2i−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-100-11i3i3−i3−i310−33−i−iii0−3322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002-22i−2i00i3i3−i3−i3-1-111−i2−i2i2i222−2−2−i−iii−3−333ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ5422-2-22i2i−2i−2i002-1002-2-11i3i3−i3−i3-2122−2−2−i2−i2i2i2−33−i−iii2i2i−2i−2i−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-100-11i3i3−i3−i310−33−i−iii0−3322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300-22−2i2i00−i3−i3i3i311-1-1i2i2−i2−i2−2−222ii−i−i33−3−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ5522-2-22i2i−2i−2i002-1002-2-11i3i3−i3−i3-21−2−222i2i2−i2−i2−33−i−iii2i2i−2i−2i−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-100-11i3i3−i3−i310−33−i−iii0−33−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002-22i−2i00i3i3−i3−i3-1-111i2i2−i2−i2−2−222−i−iii−3−333−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ5622-2-22i2i−2i−2i002-1002-2-11i3i3−i3−i3-21−2−222i2i2−i2−i2−33−i−iii2i2i−2i−2i−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-100-11i3i3−i3−i310−33−i−iii0−33−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300-22−2i2i00−i3−i3i3i311-1-1−i2−i2i2i222−2−2ii−i−i33−3−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ5722-2-2−2i−2i2i2i0022002-22-20000-2-222−2−2i2i2−i2−i200−2i−2i2i2i−2i−2i2i2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i22002-20000-2000−2i−2i2i2i00022−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002-2−2i2i00000022-2-2i2i2−i2−i222−2−2−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ5822-2-2−2i−2i2i2i0022002-22-20000-2-222−2−2i2i2−i2−i200−2i−2i2i2i−2i−2i2i2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i22002-20000-2000−2i−2i2i2i00022−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200-222i−2i000000-2-222−i2−i2i2i2−2−2222i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ5922-2-2−2i−2i2i2i0022002-22-20000-2-2−2−222−i2−i2i2i200−2i−2i2i2i−2i−2i2i2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i22002-20000-2000−2i−2i2i2i000−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002-2−2i2i00000022-2-2−i2−i2i2i2−2−222−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ6022-2-2−2i−2i2i2i0022002-22-20000-2-2−2−222−i2−i2i2i200−2i−2i2i2i−2i−2i2i2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i22002-20000-2000−2i−2i2i2i000−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200-222i−2i000000-2-222i2i2−i2−i222−2−22i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ6122-2-2−2i−2i2i2i002-1002-2-11−i3−i3i3i3-2122−2−2i2i2−i2−i2−33ii−i−i−2i−2i2i2i−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-100-11−i3−i3i3i310−33ii−i−i0−3322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002-2−2i2i00−i3−i3i3i3-1-111i2i2−i2−i222−2−2ii−i−i−3−333−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ6222-2-2−2i−2i2i2i002-1002-2-11−i3−i3i3i3-2122−2−2i2i2−i2−i2−33ii−i−i−2i−2i2i2i−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-100-11−i3−i3i3i310−33ii−i−i0−3322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300-222i−2i00i3i3−i3−i311-1-1−i2−i2i2i2−2−222−i−iii33−3−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ6322-2-2−2i−2i2i2i002-1002-2-11−i3−i3i3i3-21−2−222−i2−i2i2i2−33ii−i−i−2i−2i2i2i−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-100-11−i3−i3i3i310−33ii−i−i0−33−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002-2−2i2i00−i3−i3i3i3-1-111−i2−i2i2i2−2−222ii−i−i−3−333ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ6422-2-2−2i−2i2i2i002-1002-2-11−i3−i3i3i3-21−2−222−i2−i2i2i2−33ii−i−i−2i−2i2i2i−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-100-11−i3−i3i3i310−33ii−i−i0−33−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300-222i−2i00i3i3−i3−i311-1-1i2i2−i2−i222−2−2−i−iii33−3−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ6522-2-2−2i−2i2i2i002-1002-2-11i3i3−i3−i3-2122−2−2i2i2−i2−i23−3ii−i−i−2i−2i2i2i3−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-100-11i3i3−i3−i3103−3ii−i−i03−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002-2−2i2i00i3i3−i3−i3-1-111i2i2−i2−i222−2−2ii−i−i33−3−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ6622-2-2−2i−2i2i2i002-1002-2-11i3i3−i3−i3-2122−2−2i2i2−i2−i23−3ii−i−i−2i−2i2i2i3−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-100-11i3i3−i3−i3103−3ii−i−i03−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700-222i−2i00−i3−i3i3i311-1-1−i2−i2i2i2−2−222−i−iii−3−333ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
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χ1644-4-44-444-44-4-24-4422-4-44-4-44-2400000000-4-4-444-42-2-22440000000000000000-2-2222-222-2-22222-2-22-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1654-4-44-444-44-4-2-2-442222-222-2-2-200000000222-2-222-2-22-2-2−2i32i32i3−2i32i3−2i3−2i32i3−2i32i32i3−2i32i3−2i3−2i32i31-22-1-11-1-1112-1-1-111-1-2110000i3−i3−i3i3−i3i3i3−i30000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000000000000000000000000000000000
χ1664-4-44-444-44-4-2-2-442222-222-2-2-200000000222-2-222-2-22-2-22i3−2i3−2i32i3−2i32i32i3−2i32i3−2i3−2i32i3−2i32i32i3−2i31-22-1-11-1-1112-1-1-111-1-2110000−i3i3i3−i3i3−i3−i3i30000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000000000000000000000000000000000
χ1674-4-44-444-4-44-2-24-422222-2-22-2-24i−4i−4i4i4i−4i−4i4i-2-22-2-222-2-2222−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i12-2-1-1-111-11-211-111-12-1-1−2i2i2i−2ii−i−iii−i−ii−2i2i2i−2ii−i−iii−i−ii0000000000000000000000000000000000000000000000000000000000000000
χ1684-4-44-444-4-44-2-24-422222-2-22-2-2−4i4i4i−4i−4i4i4i−4i-2-22-2-222-2-22222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i12-2-1-1-111-11-211-111-12-1-12i−2i−2i2i−iii−i−iii−i2i−2i−2i2i−iii−i−iii−i0000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.