Finite Group Databasebeta

← Group #13160076

Character table — Group #13160076

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441212121224242424242424242424242424242424272727273636363654545454545472727272
order122233333446666666666666668888333366666666666612121212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242444441212121212121212121212121212121244442244228888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ611111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ711111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1
χ811111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111
χ91-1-11111111-1-1-1-1-1-11-1-1-1-11111-1ii−i−i1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i1-1iiii−i−i−i−i1111-1-1-1-111-1-11-1i−i1-1ii−i−i1-1i−i
χ101-1-11111111-1-1-1-1-1-11-1-1-1-11111-1ii−i−i1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i1-1iiii−i−i−i−i1111-1-1-1-1-1-111-11−ii-11−i−iii-11−ii
χ111-1-11111111-1-1-1-1-1-11-1-1-1-11111-1ii−i−i1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-11−i−i−i−iiiii-1-1-1-1111111-1-1-11−ii1-1ii−i−i-11−ii
χ121-1-11111111-1-1-1-1-1-11-1-1-1-11111-1ii−i−i1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-11−i−i−i−iiiii-1-1-1-11111-1-1111-1i−i-11−i−iii1-1i−i
χ131-1-11111111-1-1-1-1-1-11-1-1-1-11111-1−i−iii1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiii−i-11iiii−i−i−i−i-1-1-1-1111111-1-1-11i−i1-1−i−iii-11i−i
χ141-1-11111111-1-1-1-1-1-11-1-1-1-11111-1−i−iii1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiii−i-11iiii−i−i−i−i-1-1-1-11111-1-1111-1−ii-11ii−i−i1-1−ii
χ151-1-11111111-1-1-1-1-1-11-1-1-1-11111-1−i−iii1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiii−ii1-1−i−i−i−iiiii1111-1-1-1-111-1-11-1−ii1-1−i−iii1-1−ii
χ161-1-11111111-1-1-1-1-1-11-1-1-1-11111-1−i−iii1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiii−ii1-1−i−i−i−iiiii1111-1-1-1-1-1-111-11i−i-11ii−i−i-11i−i
χ17222222222-2-222222222222222200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000022220000-2-200000000
χ18222222222-2-222222222222222200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000-2-2-2-200002200000000
χ1922222222-1222222-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222000000-1-1-1-1
χ2022222222-1222222-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-20000001111
χ2122222222-1222222-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-211111111111111111100000000000000000000000022-2-2000000-1-111
χ2222222222-1222222-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-2111111111111111111000000000000000000000000-2-22200000011-1-1
χ2322222-1-1-12222-1-1-1222-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-1000000000000000000
χ2422222-1-1-12222-1-1-1222-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111-2111-2111-2111000000000000000000
χ2522222-1-1-12222-1-1-1222-1-1-12-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-211111111111122-2-22-1-1-12-1-1-1-2111-2111000000000000000000
χ2622222-1-1-12222-1-1-1222-1-1-12-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-2111111111111-2-222-2111-21112-1-1-12-1-1-1000000000000000000
χ272222-12-1-1222-12-1-122-12-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1000000000000000000
χ282222-12-1-1222-12-1-122-12-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21-2111-2111-2111-211000000000000000000
χ292222-12-1-1222-12-1-122-12-1-1-12-1-12-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-111-2-21111-2-21111-2-2-2-21111111111-2-21111-2-21111-2-2-2-21111111122-2-2-12-1-1-12-1-11-2111-211000000000000000000
χ302222-12-1-1222-12-1-122-12-1-1-12-1-12-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-111-2-21111-2-21111-2-2-2-21111111111-2-21111-2-21111-2-2-2-211111111-2-2221-2111-211-12-1-1-12-1-1000000000000000000
χ312222-1-12-1222-1-12-122-1-12-1-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-12-1-1-12-1-1-12-1-1-12-1000000000000000000
χ322222-1-12-1222-1-12-122-1-12-1-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211-2111-2111-2111-21000000000000000000
χ332222-1-12-1222-1-12-122-1-12-1-1-12-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-11111-2-211-2-211111111-2-2-2-211111111-2-211-2-211111111-2-2-2-2111122-2-2-1-12-1-1-12-111-2111-21000000000000000000
χ342222-1-12-1222-1-12-122-1-12-1-1-12-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-11111-2-211-2-211111111-2-2-2-211111111-2-211-2-211111111-2-2-2-21111-2-22211-2111-21-1-12-1-1-12-1000000000000000000
χ352222-1-1-12222-1-1-1222-1-1-12-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ362222-1-1-12222-1-1-1222-1-1-12-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111-2111-2111-2111-2000000000000000000
χ372222-1-1-12222-1-1-1222-1-1-12-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122111111-2-2-2-2111111111111-2-2-2-2111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-12-1-1-12111-2111-2000000000000000000
χ382222-1-1-12222-1-1-1222-1-1-12-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122111111-2-2-2-2111111111111-2-2-2-2111111-2-2-2-2111111111111-2-2-2-2-2-222111-2111-2-1-1-12-1-1-12000000000000000000
χ3922-2-22222200-2-2-2-22-22222-2-2-2-2-2i2−i2i2−i222222-22-22-22-2-2-2-2-200000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000002i−2i2i−2i0000002−22−20000
χ4022-2-22222200-2-2-2-22-22222-2-2-2-2-2i2−i2i2−i222222-22-22-22-2-2-2-2-200000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000−2i2i−2i2i000000−22−220000
χ4122-2-22222200-2-2-2-22-22222-2-2-2-2-2−i2i2−i2i222222-22-22-22-2-2-2-2-200000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000002i−2i2i−2i000000−22−220000
χ4222-2-22222200-2-2-2-22-22222-2-2-2-2-2−i2i2−i2i222222-22-22-22-2-2-2-2-200000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000−2i2i−2i2i0000002−22−20000
χ432-22-222222002222-2-2-2-2-2-2-2-2-2-222−2−222222-22-22-22-22-2-2-2-2000000000000000000000000002−22−22−22−22−222−2−222−2−222−2−222−2−2−22−22−22−22−22−2−222−2−222−2−222−2−222000000000000000000002i−2i−2i2i000000−i2i2i2−i20000
χ442-22-222222002222-2-2-2-2-2-2-2-2-2-222−2−222222-22-22-22-22-2-2-2-2000000000000000000000000002−22−22−22−22−222−2−222−2−222−2−222−2−2−22−22−22−22−22−2−222−2−222−2−222−2−22200000000000000000000−2i2i2i−2i000000i2−i2−i2i20000
χ452-22-222222002222-2-2-2-2-2-2-2-2-2-22−222−22222-22-22-22-22-2-2-2-200000000000000000000000000−22−22−22−22−22−2−222−2−222−2−222−2−2222−22−22−22−22−222−2−222−2−222−2−222−2−2000000000000000000002i−2i−2i2i000000i2−i2−i2i20000
χ462-22-222222002222-2-2-2-2-2-2-2-2-2-22−222−22222-22-22-22-22-2-2-2-200000000000000000000000000−22−22−22−22−22−2−222−2−222−2−222−2−2222−22−22−22−22−222−2−222−2−222−2−222−2−200000000000000000000−2i2i2i−2i000000−i2i2i2−i20000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.