Finite Group Databasebeta

← Group #13140241

Character table — Group #13140241

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222222226666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12222222344446666666121212121212121233666666666666663666666612121212121212121212121212121212444444441212121212121212121212121212121222224444666666661212121212121212
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
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-11-1-11ii−i−i11-1-1-11-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ10111-1-11-1-11ii−i−i11-1-1-11-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ11111-1-11-1-11ii−i−i11-1-1-11-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ12111-1-11-1-11ii−i−i11-1-1-11-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ13111-1-11-1-11−i−iii11-1-1-11-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ14111-1-11-1-11−i−iii11-1-1-11-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ15111-1-11-1-11−i−iii11-1-1-11-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ16111-1-11-1-11−i−iii11-1-1-11-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ1722222222222222222222222222222-1222-1-1-122-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000000000000000002200220000-1-1-1-10000-1-1-1-1
χ1822222222222222222222222222222-1222-1-1-122-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200-2-20000111100001111
χ192222222222222222222222222222-12-1-1-1222-1-122-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000000000000000000022002200-1-1-1-10000-1-1-1-10000
χ202222222222222222222222222222-12-1-1-1222-1-122-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000000000000000-2-200-2-2001111000011110000
χ21222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-1222-1-1-122-1-12-12-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000000000000000000000002200-2-20000-1-1-1-100001111
χ22222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-1222-1-1-122-1-12-12-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000000000000000000000-2-20022000011110000-1-1-1-1
χ23222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-1-1222-1-122-12-12-1-1-1-1-1-1-1-111-2-211-2-2111111110000000000000000000000002200-2-200-1-1-1-1000011110000
χ24222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-1-1222-1-122-12-12-1-1-1-1-1-1-1-111-2-211-2-211111111000000000000000000000000-2-200220011110000-1-1-1-10000
χ25222-2-22-2-222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i2-1222-1-1-1-2-211-21-21-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii000000000000000000000000002-2002i−2i0000-1-1110000−i−iii
χ26222-2-22-2-222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i2-1222-1-1-1-2-211-21-21-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00000000000000000000000000-2200−2i2i000011-1-10000ii−i−i
χ27222-2-22-2-222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i-12-1-1-122211-2-21-21-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii0000000000000000000000002-2002i−2i00-1-1110000−i−iii0000
χ28222-2-22-2-222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i-12-1-1-122211-2-21-21-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii000000000000000000000000-2200−2i2i0011-1-10000ii−i−i0000
χ29222-2-22-2-22−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i2-1222-1-1-1-2-211-21-21-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i000000000000000000000000002-200−2i2i0000-1-1110000ii−i−i
χ30222-2-22-2-22−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i2-1222-1-1-1-2-211-21-21-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i00000000000000000000000000-22002i−2i000011-1-10000−i−iii
χ31222-2-22-2-22−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i-12-1-1-122211-2-21-21-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i0000000000000000000000002-200−2i2i00-1-1110000ii−i−i0000
χ32222-2-22-2-22−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i-12-1-1-122211-2-21-21-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i000000000000000000000000-22002i−2i0011-1-10000−i−iii0000
χ3322-222-2-2-2200002-22-22-2-200000000222-2-22-2-22-22-222-2-222-2-22-2-22000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-222-2-2-2200002-22-22-2-200000000222-2-22-2-22-22-222-2-222-2-22-2-2200000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-2-2-2-222200002-2-22-2-2200000000222-2-22-2-2-22-22-2-22222-2-2-222-2000000000000000000002-2-220000000022-2-2-2-222000000000000000000000000
χ3622-2-2-2-222200002-2-22-2-2200000000222-2-22-2-2-22-22-2-22222-2-2-222-200000000000000000000-222-200000000-2-22222-2-2000000000000000000000000
χ372-222-2-22-222i−2i2i−2i-222-2-2-222i2i−2i−2i2i2i−2i−2i22-22-2-22-22222-2-2-2-22-22-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ382-222-2-22-222i−2i2i−2i-222-2-2-222i2i−2i−2i2i2i−2i−2i2-1-22-21-1122-1-1-21-21-11-11-1-1112i−2i−ii2i−2i−ii−i−iii−i−iii000000000000000000000000000000000000−i3i3−i3i300003−33−3
χ392-222-2-22-222i−2i2i−2i-222-2-2-222i2i−2i−2i2i2i−2i−2i2-1-22-21-1122-1-1-21-21-11-11-1-1112i−2i−ii2i−2i−ii−i−iii−i−iii000000000000000000000000000000000000i3−i3i3−i30000−33−33
χ402-222-2-22-222i−2i2i−2i-222-2-2-222i2i−2i−2i2i2i−2i−2i-121-11-22-2-1-1221-21-2-11-11-1-111−ii2i−2i−ii2i−2i−i−iii−i−iii00000000000000000000000000000000−i3i3−i3i300003−33−30000
χ412-222-2-22-222i−2i2i−2i-222-2-2-222i2i−2i−2i2i2i−2i−2i-121-11-22-2-1-1221-21-2-11-11-1-111−ii2i−2i−ii2i−2i−i−iii−i−iii00000000000000000000000000000000i3−i3i3−i30000−33−330000
χ422-222-2-22-22−2i2i−2i2i-222-2-2-22−2i−2i2i2i−2i−2i2i2i22-22-2-22-22222-2-2-2-22-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ432-222-2-22-22−2i2i−2i2i-222-2-2-22−2i−2i2i2i−2i−2i2i2i2-1-22-21-1122-1-1-21-21-11-11-1-111−2i2ii−i−2i2ii−iii−i−iii−i−i000000000000000000000000000000000000−i3i3−i3i30000−33−33
χ442-222-2-22-22−2i2i−2i2i-222-2-2-22−2i−2i2i2i−2i−2i2i2i2-1-22-21-1122-1-1-21-21-11-11-1-111−2i2ii−i−2i2ii−iii−i−iii−i−i000000000000000000000000000000000000i3−i3i3−i300003−33−3
χ452-222-2-22-22−2i2i−2i2i-222-2-2-22−2i−2i2i2i−2i−2i2i2i-121-11-22-2-1-1221-21-2-11-11-1-111i−i−2i2ii−i−2i2iii−i−iii−i−i00000000000000000000000000000000−i3i3−i3i30000−33−330000
χ462-222-2-22-22−2i2i−2i2i-222-2-2-22−2i−2i2i2i−2i−2i2i2i-121-11-22-2-1-1221-21-2-11-11-1-111i−i−2i2ii−i−2i2iii−i−iii−i−i00000000000000000000000000000000i3−i3i3−i300003−33−30000
χ472-22-22-2-2222-2-22-22-222-2-222-2-2-2-22222-22-2-22-2-2-2-2-222222-22-2-2-2222-22-2-22-2222-2-2-2-222000000000000000000000000000000000000000000000000
χ482-22-22-2-2222-2-22-22-222-2-222-2-2-2-2222-1-22-21-11-2-2112-12-1-11-1111-1-12-2-11-221-1-1-11111-1-1000000000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i3
χ492-22-22-2-2222-2-22-22-222-2-222-2-2-2-2222-1-22-21-11-2-2112-12-1-11-1111-1-12-2-11-221-1-1-11111-1-1000000000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i3
χ502-22-22-2-2222-2-22-22-222-2-222-2-2-2-222-121-11-22-211-2-2-12-12-11-1111-1-1-112-21-1-22-1-11111-1-100000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i30000
χ512-22-22-2-2222-2-22-22-222-2-222-2-2-2-222-121-11-22-211-2-2-12-12-11-1111-1-1-112-21-1-22-1-11111-1-100000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i30000
χ522-22-22-2-222-222-2-22-222-2-2-2-22222-2-222-22-2-22-2-2-2-2-222222-22-2-2-222-22-222-22-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ532-22-22-2-222-222-2-22-222-2-2-2-22222-2-22-1-22-21-11-2-2112-12-1-11-1111-1-1-221-12-2-1111-1-1-1-111000000000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i3
χ542-22-22-2-222-222-2-22-222-2-2-2-22222-2-22-1-22-21-11-2-2112-12-1-11-1111-1-1-221-12-2-1111-1-1-1-111000000000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i3
χ552-22-22-2-222-222-2-22-222-2-2-2-22222-2-2-121-11-22-211-2-2-12-12-11-1111-1-11-1-22-112-211-1-1-1-11100000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i30000
χ562-22-22-2-222-222-2-22-222-2-2-2-22222-2-2-121-11-22-211-2-2-12-12-11-1111-1-11-1-22-112-211-1-1-1-11100000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i30000
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χ754-44-44-4-4444-4-44-44-444-4-444-4-4-4-444-2-22-222-222222-2-2-2-21-11-1-1-111-22-222-22-211-1-1-1-111000000000000000000000000000000000000000000000000
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χ834-4-4-4444-440000-4-4-4-444400000000-2-222-222-22-22-2-2-2221-1-11-11-11000000003-3-33-333-3000000000000000000000000000000000000000000000000
χ844-4-4-4444-440000-4-4-4-444400000000-2-222-222-22-22-2-2-2221-1-11-11-1100000000-333-33-3-33000000000000000000000000000000000000000000000000
χ8566666666-36666-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ8666666666-36666-3-3-3-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ8766666666-3-6-6-6-6-3-3-3-3-3-3-33333333300000000000000000000000000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ8866666666-3-6-6-6-6-3-3-3-3-3-3-3333333330000000000000000000000000000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ89666-6-66-6-6-36i6i−6i−6i-3-3333-33−3i−3i−3i−3i3i3i3i3i000000000000000000000000000000000000000022-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii000000000000000000000000
χ90666-6-66-6-6-36i6i−6i−6i-3-3333-33−3i−3i−3i−3i3i3i3i3i0000000000000000000000000000000000000000-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i000000000000000000000000
χ91666-6-66-6-6-3−6i−6i6i6i-3-3333-333i3i3i3i−3i−3i−3i−3i000000000000000000000000000000000000000022-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i000000000000000000000000
χ92666-6-66-6-6-3−6i−6i6i6i-3-3333-333i3i3i3i−3i−3i−3i−3i0000000000000000000000000000000000000000-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii000000000000000000000000
χ9366-666-6-6-6-30000-33-33-333−3i33i3−3i33i3−3i33i3−3i33i3000000000000000000000000000000000000000000002i−2i2i−2i3−33−33−33−3−i−iii−i−iii000000000000000000000000
χ9466-666-6-6-6-30000-33-33-333−3i33i3−3i33i3−3i33i3−3i33i300000000000000000000000000000000000000000000−2i2i−2i2i−33−33−33−33ii−i−iii−i−i000000000000000000000000
χ9566-666-6-6-6-30000-33-33-3333i3−3i33i3−3i33i3−3i33i3−3i3000000000000000000000000000000000000000000002i−2i2i−2i−33−33−33−33−i−iii−i−iii000000000000000000000000
χ9666-666-6-6-6-30000-33-33-3333i3−3i33i3−3i33i3−3i33i3−3i300000000000000000000000000000000000000000000−2i2i−2i2i3−33−33−33−3ii−i−iii−i−i000000000000000000000000
χ9766-6-6-6-666-30000-333-333-333−3333−33−3333−3333000000000000000000000000000000000000000000002-2-22−33−333−33−3-1-11111-1-1000000000000000000000000
χ9866-6-6-6-666-30000-333-333-333−3333−33−3333−333300000000000000000000000000000000000000000000-222-23−33−3−33−3311-1-1-1-111000000000000000000000000
χ9966-6-6-6-666-30000-333-333-3−3333−333333−3333−33000000000000000000000000000000000000000000002-2-223−33−3−33−33-1-11111-1-1000000000000000000000000
χ10066-6-6-6-666-30000-333-333-3−3333−333333−3333−3300000000000000000000000000000000000000000000-222-2−33−333−33−311-1-1-1-111000000000000000000000000
χ1016-666-6-66-6-36i−6i6i−6i3-3-3333-3−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000000000000000000000003−3−333−3−33−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ1026-666-6-66-6-36i−6i6i−6i3-3-3333-3−3i−3i3i3i−3i−3i3i3i000000000000000000000000000000000000000000000000−333−3−333−3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ1036-666-6-66-6-3−6i6i−6i6i3-3-3333-33i3i−3i−3i3i3i−3i−3i0000000000000000000000000000000000000000000000003−3−333−3−33i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ1046-666-6-66-6-3−6i6i−6i6i3-3-3333-33i3i−3i−3i3i3i−3i−3i000000000000000000000000000000000000000000000000−333−3−333−3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ1056-66-66-6-66-36-6-663-33-3-333-3-33333-3-30000000000000000000000000000000000000000000000003−3−33−333−3−33−333−33−3000000000000000000000000
χ1066-66-66-6-66-36-6-663-33-3-333-3-33333-3-3000000000000000000000000000000000000000000000000−333−33−3−333−33−3−33−33000000000000000000000000
χ1076-66-66-6-66-3-666-63-33-3-33333-3-3-3-3330000000000000000000000000000000000000000000000003−3−33−333−33−33−3−33−33000000000000000000000000
χ1086-66-66-6-66-3-666-63-33-3-33333-3-3-3-333000000000000000000000000000000000000000000000000−333−33−3−33−33−333−33−3000000000000000000000000
χ1096-6-66-66-66-3000033-3-33-3333−33−333333−33−333300000000000000000000000000000000000000002-22-20000-1-111-1-111−333−3−333−3000000000000000000000000
χ1106-6-66-66-66-3000033-3-33-3333−33−333333−33−33330000000000000000000000000000000000000000-22-22000011-1-111-1-13−3−333−3−33000000000000000000000000
χ1116-6-66-66-66-3000033-3-33-33−333333−33−333333−3300000000000000000000000000000000000000002-22-20000-1-111-1-1113−3−333−3−33000000000000000000000000
χ1126-6-66-66-66-3000033-3-33-33−333333−33−333333−330000000000000000000000000000000000000000-22-22000011-1-111-1-1−333−3−333−3000000000000000000000000
χ1136-6-6-6666-6-300003333-3-3-3−3i33i33i3−3i33i3−3i3−3i33i300000000000000000000000000000000000000002-2-220000-1-11111-1-1i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ1146-6-6-6666-6-300003333-3-3-3−3i33i33i3−3i33i3−3i3−3i33i30000000000000000000000000000000000000000-222-2000011-1-1-1-111−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ1156-6-6-6666-6-300003333-3-3-33i3−3i3−3i33i3−3i33i33i3−3i300000000000000000000000000000000000000002-2-220000-1-11111-1-1−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ1166-6-6-6666-6-300003333-3-3-33i3−3i3−3i33i3−3i33i33i3−3i30000000000000000000000000000000000000000-222-2000011-1-1-1-111i3−i3−i3i3−i3i3i3−i3000000000000000000000000

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