Finite Group Databasebeta

← Group #13139962

Character table — Group #13139962

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12224444223446661212121266121233666666666612121212121212121212121236666666661212121212121212121244444444121212121212121212121212121212128888888824242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-11-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-11-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-11-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-11-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1-1111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1-1111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1-1111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222222222222-122-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222222222222-122-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-12-1-12222-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222222222222222222-12-1-12222-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ2122222222-2-22-2-22222222-2-2-2-22-12211112-1-1-122-1-1-1-1111122-1-2-2-1-11111-1-2-2-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2222222222-2-22-2-22222222-2-2-2-22-12211112-1-1-122-1-1-1-1111122-1-2-2-1-11111-1-2-2-1-1-1-11111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ2322222222-2-22-2-22222222-2-2-2-2-12-1-1-2-2-2-2-1222-1-12222-2-2-2-2-1-1-111-1-11111-111-1-1-1-11111000000000000000000000000000022-2-200000000-1-1-1-11111
χ2422222222-2-22-2-22222222-2-2-2-2-12-1-1-2-2-2-2-1222-1-12222-2-2-2-2-1-1-111-1-11111-111-1-1-1-111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ252222-2-2-2-2222-2-2222-2-2-2-222-2-22-122-1-1-1-12-1-1-1-2-211111111-2-2-122-1-1-1-1-1-1-1-2-21111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ262222-2-2-2-2222-2-2222-2-2-2-222-2-22-122-1-1-1-12-1-1-1-2-211111111-2-2-122-1-1-1-1-1-1-1-2-211111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ272222-2-2-2-2222-2-2222-2-2-2-222-2-2-12-1-12222-122211-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-1111111111100000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ282222-2-2-2-2222-2-2222-2-2-2-222-2-2-12-1-12222-122211-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1-1-111111111110000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ292222-2-2-2-2-2-2222222-2-2-2-2-2-2222-12211112-1-1-1-2-21111-1-1-1-1-2-2-1-2-2-1-11111-1221111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ302222-2-2-2-2-2-2222222-2-2-2-2-2-2222-12211112-1-1-1-2-21111-1-1-1-1-2-2-1-2-2-1-11111-1221111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ312222-2-2-2-2-2-2222222-2-2-2-2-2-222-12-1-1-2-2-2-2-122211-2-2-2-2222211-111-1-11111-1-1-11111-1-1-1-100000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ322222-2-2-2-2-2-2222222-2-2-2-2-2-222-12-1-1-2-2-2-2-122211-2-2-2-2222211-111-1-11111-1-1-11111-1-1-1-10000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ3322-2-222-2-22-222-2-2-2222-2-22-22-222-2-222-2-222-2-22222-2-222-2-2-2-222-2-2-222-2-222-222-2-222-2-2000000000000000000000000000000000000000000000000
χ3422-2-222-2-22-222-2-2-2222-2-22-22-22-1-2-2-1-1112-11122-1-111-1-111-2-2-12-211-1-111-12-2-1-111-1-1110000000033−3−333−3−333−3−333−3−3000000000000000000000000
χ3522-2-222-2-22-222-2-2-2222-2-22-22-22-1-2-2-1-1112-11122-1-111-1-111-2-2-12-211-1-111-12-2-1-111-1-11100000000−3−333−3−333−3−333−3−333000000000000000000000000
χ3622-2-222-2-22-222-2-2-2222-2-22-22-2-121122-2-2-12-2-2-1-122-2-222-2-211-1-1111-1-111-1-11-1-111-1-11100000000000000000000000000000000000000003−33−33−33−3
χ3722-2-222-2-22-222-2-2-2222-2-22-22-2-121122-2-2-12-2-2-1-122-2-222-2-211-1-1111-1-111-1-11-1-111-1-1110000000000000000000000000000000000000000−33−33−33−33
χ3822-2-222-2-2-222-22-2-2222-2-2-22-2222-2-2-2-22222-2-22222-2-2-2-222-2-22-22-2-2-2-2222-2222-2-2-2-222000000000000000000000000000000000000000000000000
χ3922-2-222-2-2-222-22-2-2222-2-2-22-222-1-2-211-1-12-11122-1-11111-1-1-2-2-1-221111-1-1-1-22-1-11111-1-10000000033−3−333−3−3−3−333−3−333000000000000000000000000
χ4022-2-222-2-2-222-22-2-2222-2-2-22-222-1-2-211-1-12-11122-1-11111-1-1-2-2-1-221111-1-1-1-22-1-11111-1-100000000−3−333−3−33333−3−333−3−3000000000000000000000000
χ4122-2-222-2-2-222-22-2-2222-2-2-22-22-1211-2-222-12-2-2-1-122-2-2-2-22211-11-11111-1-1-11-1-1-11111-1-100000000000000000000000000000000000000003−33−3−33−33
χ4222-2-222-2-2-222-22-2-2222-2-2-22-22-1211-2-222-12-2-2-1-122-2-2-2-22211-11-11111-1-1-11-1-1-11111-1-10000000000000000000000000000000000000000−33−333−33−3
χ4322-2-2-2-2222-22-22-2-22-2-2222-2-2222-2-222-2-222-2-2-2-2-2-222-2-2222222-2-2-222-2-22-22-2-222-2-222000000000000000000000000000000000000000000000000
χ4422-2-2-2-2222-22-22-2-22-2-2222-2-222-1-2-2-1-1112-111-2-211-1-111-1-122-12-211-1-111-1-2211-1-111-1-10000000033−3−3−3−33333−3−3−3−333000000000000000000000000
χ4522-2-2-2-2222-22-22-2-22-2-2222-2-222-1-2-2-1-1112-111-2-211-1-111-1-122-12-211-1-111-1-2211-1-111-1-100000000−3−33333−3−3−3−33333−3−3000000000000000000000000
χ4622-2-2-2-2222-22-22-2-22-2-2222-2-22-121122-2-2-12-2-211-2-222-2-222-1-1-1-1111-1-111-11-111-1-111-1-10000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3
χ4722-2-2-2-2222-22-22-2-22-2-2222-2-22-121122-2-2-12-2-211-2-222-2-222-1-1-1-1111-1-111-11-111-1-111-1-10000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3
χ4822-2-2-2-222-2222-2-2-22-2-222-222-222-2-2-2-22222-2-2-2-2-2-22222-2-2222-22-2-2-2-22222-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ4922-2-2-2-222-2222-2-2-22-2-222-222-22-1-2-211-1-12-111-2-211-1-1-1-11122-1-221111-1-1-12-211-1-1-1-1110000000033−3−3−3−333−3−33333−3−3000000000000000000000000
χ5022-2-2-2-222-2222-2-2-22-2-222-222-22-1-2-211-1-12-111-2-211-1-1-1-11122-1-221111-1-1-12-211-1-1-1-11100000000−3−33333−3−333−3−3−3−333000000000000000000000000
χ5122-2-2-2-222-2222-2-2-22-2-222-222-2-1211-2-222-12-2-211-2-22222-2-2-1-1-11-11111-1-1-1-1111-1-1-1-1110000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ5222-2-2-2-222-2222-2-2-22-2-222-222-2-1211-2-222-12-2-211-2-22222-2-2-1-1-11-11111-1-1-1-1111-1-1-1-1110000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
χ532-22-22i−2i2i−2i002002-2-22i−2i2i−2i0000222-20000-2-22-22i−2i2i−2i2i−2i00002i−2i2002-20000-2002i−2i2i−2i000000002-22i−2i000000002-22-22i−2i2i−2i000000000000000000000000
χ542-22-22i−2i2i−2i002002-2-22i−2i2i−2i0000222-20000-2-22-22i−2i2i−2i2i−2i00002i−2i2002-20000-2002i−2i2i−2i00000000-22−2i2i00000000-22-22−2i2i−2i2i000000000000000000000000
χ552-22-22i−2i2i−2i002002-2-22i−2i2i−2i00002-12-2−i3i3−i3i3-21-112i−2i−ii−ii3−33−32i−2i-100-11−i3i3−i3i3100−ii−ii3−33−300002-22i−2i−i3i3−i3i33−33−3-11-11−ii−ii000000000000000000000000
χ562-22-22i−2i2i−2i002002-2-22i−2i2i−2i00002-12-2−i3i3−i3i3-21-112i−2i−ii−ii3−33−32i−2i-100-11−i3i3−i3i3100−ii−ii3−33−30000-22−2i2ii3−i3i3−i3−33−331-11-1i−ii−i000000000000000000000000
χ572-22-22i−2i2i−2i002002-2-22i−2i2i−2i00002-12-2i3−i3i3−i3-21-112i−2i−ii−ii−33−332i−2i-100-11i3−i3i3−i3100−ii−ii−33−3300002-22i−2ii3−i3i3−i3−33−33-11-11−ii−ii000000000000000000000000
χ582-22-22i−2i2i−2i002002-2-22i−2i2i−2i00002-12-2i3−i3i3−i3-21-112i−2i−ii−ii−33−332i−2i-100-11i3−i3i3−i3100−ii−ii−33−330000-22−2i2i−i3i3−i3i33−33−31-11-1i−ii−i000000000000000000000000
χ592-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000222-20000-2-22-2−2i2i−2i2i−2i2i0000−2i2i2002-20000-200−2i2i−2i2i000000002-2−2i2i000000002-22-2−2i2i−2i2i000000000000000000000000
χ602-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i0000222-20000-2-22-2−2i2i−2i2i−2i2i0000−2i2i2002-20000-200−2i2i−2i2i00000000-222i−2i00000000-22-222i−2i2i−2i000000000000000000000000
χ612-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i00002-12-2−i3i3−i3i3-21-11−2i2ii−ii−i−33−33−2i2i-100-11−i3i3−i3i3100i−ii−i−33−3300002-2−2i2i−i3i3−i3i3−33−33-11-11i−ii−i000000000000000000000000
χ622-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i00002-12-2−i3i3−i3i3-21-11−2i2ii−ii−i−33−33−2i2i-100-11−i3i3−i3i3100i−ii−i−33−330000-222i−2ii3−i3i3−i33−33−31-11-1−ii−ii000000000000000000000000
χ632-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i00002-12-2i3−i3i3−i3-21-11−2i2ii−ii−i3−33−3−2i2i-100-11i3−i3i3−i3100i−ii−i3−33−300002-2−2i2ii3−i3i3−i33−33−3-11-11i−ii−i000000000000000000000000
χ642-22-2−2i2i−2i2i002002-2-2−2i2i−2i2i00002-12-2i3−i3i3−i3-21-11−2i2ii−ii−i3−33−3−2i2i-100-11i3−i3i3−i3100i−ii−i3−33−30000-222i−2i−i3i3−i3i3−33−331-11-1−ii−ii000000000000000000000000
χ652-2-222i−2i−2i2i00200-22-22i−2i−2i2i000022-220000-2-2-222i−2i2i−2i−2i2i0000−2i2i200-220000-2002i−2i−2i2i00002i−2i2-200002i−2i−2i2i-222-200000000000000000000000000000000
χ662-2-222i−2i−2i2i00200-22-22i−2i−2i2i000022-220000-2-2-222i−2i2i−2i−2i2i0000−2i2i200-220000-2002i−2i−2i2i0000−2i2i-220000−2i2i2i−2i2-2-2200000000000000000000000000000000
χ672-2-222i−2i−2i2i00200-22-22i−2i−2i2i00002-1-22−i3i3i3−i3-211-12i−2i−iii−i3−3−33−2i2i-1001-1−i3i3i3−i3100−iii−i3−3−332i−2i2-20000−iii−i1-1-113−3−33i3−i3−i3i3000000000000000000000000
χ682-2-222i−2i−2i2i00200-22-22i−2i−2i2i00002-1-22−i3i3i3−i3-211-12i−2i−iii−i3−3−33−2i2i-1001-1−i3i3i3−i3100−iii−i3−3−33−2i2i-220000i−i−ii-111-1−333−3−i3i3i3−i3000000000000000000000000
χ692-2-222i−2i−2i2i00200-22-22i−2i−2i2i00002-1-22i3−i3−i3i3-211-12i−2i−iii−i−333−3−2i2i-1001-1i3−i3−i3i3100−iii−i−333−32i−2i2-20000−iii−i1-1-11−333−3−i3i3i3−i3000000000000000000000000
χ702-2-222i−2i−2i2i00200-22-22i−2i−2i2i00002-1-22i3−i3−i3i3-211-12i−2i−iii−i−333−3−2i2i-1001-1i3−i3−i3i3100−iii−i−333−3−2i2i-220000i−i−ii-111-13−3−33i3−i3−i3i3000000000000000000000000
χ712-2-22−2i2i2i−2i00200-22-2−2i2i2i−2i000022-220000-2-2-22−2i2i−2i2i2i−2i00002i−2i200-220000-200−2i2i2i−2i00002i−2i-2200002i−2i−2i2i2-2-2200000000000000000000000000000000
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χ954-4-44−4i4i4i−4i00400-44-4−4i4i4i−4i0000-2-22-2−2i32i32i3−2i3222-22i−2i2i−2i−2i2i−232323−23−2i2i100-11i3−i3−i3i3-100−iii−i3−3−33000000000000000000000000000000000000000000000000
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χ976666666666-366-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ986666666666-366-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-2-2-200001111111100000000
χ9966666666-6-6-3-6-6-3-3-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000022-2-20000-1-1-1-1111100000000
χ10066666666-6-6-3-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2-22200001111-1-1-1-100000000
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χ11312-1212-1212i−12i12i−12i00-600-666−6i6i−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11412-1212-12−12i12i−12i12i00-600-6666i−6i6i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-12-121212i−12i−12i12i00-6006-66−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-1212−12i12i12i−12i00-6006-666i−6i−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).