Finite Group Databasebeta

← Group #13140208

Character table — Group #13140208

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222222226666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12222222344446666666121212121212121233666666666666663666666612121212121212121212121212121212222244446666666612121212121212124444444412121212121212121212121212121212
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
χ5111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
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
χ911-1-111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i
χ1011-1-111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-1-111−i−iii-1-111−i−iii
χ1111-1-111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii11-1-1ii−i−i-1-111−i−iii
χ1211-1-111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−i
χ1311-1-111-1-11−i−iii111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ1411-1-111-1-11−i−iii111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i
χ1511-1-111-1-11−i−iii111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i
χ1611-1-111-1-11−i−iii111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iii
χ1722222222222222222222222222222-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ1822222222222222222222222222222-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-200001111111100000000
χ192222222222222222222222222222-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ202222222222222222222222222222-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ21222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000000000000022-2-20000-1-1-1-1111100000000
χ22222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000-2-22200001111-1-1-1-100000000
χ23222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ24222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ252222-2-2-2-2200002-2-222-2-200000000222-22-222-222-2-2-2-2-222-2-222-2-200000000000000002-22-2000022-2-222-2-200000000000000000000000000000000
χ262222-2-2-2-2200002-2-222-2-200000000222-22-222-222-2-2-2-2-222-2-222-2-20000000000000000-22-220000-2-222-2-22200000000000000000000000000000000
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χ3122-2-222-2-22−2i−2i2i2i222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-122-1-1-2-2-21112-11-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000000000002-2−2i2i0000-1-111ii−i−i00000000
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χ3422-2-222-2-22−2i−2i2i2i222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-12-1-122111-2-2-2-12-21-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000000000000000-222i−2i0000000011-1-1−i−iii
χ3522-2-2-2-222200002-2-2-2-22200000000222-22-2-2-22-2-22-2-22222-2-2-2-22200000000000000002-2-22000022-2-2-2-22200000000000000000000000000000000
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χ392-22-2-22-2222-22-2-2-222-2-2222-2-222-2-222-2-2-222-2-22-222-2-222-2-222-2-222-22-22-22-222-2-222-2-2000000000000000000000000000000000000000000000000
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χ412-22-2-22-2222-22-2-2-222-2-2222-2-222-2-22-1-2-21-12-2-2-11-12112-111-1-111-1-11-112-22-2-1-111-1-11100000000000000000000000000000000−33−33−33−3300000000
χ422-22-2-22-2222-22-2-2-222-2-2222-2-222-2-2-1211-22-1112-22-1-2-2-1-111-1-111-12-22-2-11-11-1-111-1-1110000000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ432-22-2-22-2222-22-2-2-222-2-2222-2-222-2-2-1211-22-1112-22-1-2-2-1-111-1-111-12-22-2-11-11-1-111-1-1110000000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ442-22-2-22-222-22-22-2-222-2-22-2-222-2-22222-2-2-222-2-22-222-2-222-2-222-2-22-22-22-22-22-2-222-2-222000000000000000000000000000000000000000000000000
χ452-22-2-22-222-22-22-2-222-2-22-2-222-2-2222-1-2-21-12-2-2-11-12112-111-1-111-11-11-1-22-2211-1-111-1-1000000000000000000000000000000003−33−3−33−3300000000
χ462-22-2-22-222-22-22-2-222-2-22-2-222-2-2222-1-2-21-12-2-2-11-12112-111-1-111-11-11-1-22-2211-1-111-1-100000000000000000000000000000000−33−333−33−300000000
χ472-22-2-22-222-22-22-2-222-2-22-2-222-2-222-1211-22-1112-22-1-2-2-1-111-1-111-1-22-221-11-111-1-111-1-10000000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i3
χ482-22-2-22-222-22-22-2-222-2-22-2-222-2-222-1211-22-1112-22-1-2-2-1-111-1-111-1-22-221-11-111-1-111-1-10000000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i3
χ492-2-222-2-2220000-22-2-22-220000000022-22-2-2-22-2-222-22-222-22-2-22-22000000000000000000002-2-220000000022-2-2-2-222000000000000000000000000
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χ562-2-22-222-22−2i2i2i−2i-2-22-222-2−2i−2i2i2i2i2i−2i−2i22-2-2-22-222-22-22-22-22-2-22-222-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
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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
χ896666-6-6-6-6-30000-333-3-33333−3333−3333−3333−3300000000000000000000000000000000000000002-22-20000-1-111-1-1113−33−33−33−3000000000000000000000000
χ906666-6-6-6-6-30000-333-3-33333−3333−3333−3333−330000000000000000000000000000000000000000-22-22000011-1-111-1-1−33−33−33−33000000000000000000000000
χ916666-6-6-6-6-30000-333-3-333−3333−3333−3333−333300000000000000000000000000000000000000002-22-20000-1-111-1-111−33−33−33−33000000000000000000000000
χ926666-6-6-6-6-30000-333-3-333−3333−3333−3333−33330000000000000000000000000000000000000000-22-22000011-1-111-1-13−33−33−33−3000000000000000000000000
χ9366-6-666-6-6-36i6i−6i−6i-3-3-33333−3i−3i−3i−3i3i3i3i3i000000000000000000000000000000000000000022-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii000000000000000000000000
χ9466-6-666-6-6-36i6i−6i−6i-3-3-33333−3i−3i−3i−3i3i3i3i3i0000000000000000000000000000000000000000-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i000000000000000000000000
χ9566-6-666-6-6-3−6i−6i6i6i-3-3-333333i3i3i3i−3i−3i−3i−3i000000000000000000000000000000000000000022-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i000000000000000000000000
χ9666-6-666-6-6-3−6i−6i6i6i-3-3-333333i3i3i3i−3i−3i−3i−3i0000000000000000000000000000000000000000-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii000000000000000000000000
χ9766-6-6-6-666-30000-33333-3-3−3i33i3−3i33i33i3−3i33i3−3i300000000000000000000000000000000000000002-2-220000-1-11111-1-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ9866-6-6-6-666-30000-33333-3-3−3i33i3−3i33i33i3−3i33i3−3i30000000000000000000000000000000000000000-222-2000011-1-1-1-111i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ9966-6-6-6-666-30000-33333-3-33i3−3i33i3−3i3−3i33i3−3i33i300000000000000000000000000000000000000002-2-220000-1-11111-1-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ10066-6-6-6-666-30000-33333-3-33i3−3i33i3−3i3−3i33i3−3i33i30000000000000000000000000000000000000000-222-2000011-1-1-1-111−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ1016-66-66-66-6-300003-33-33-3333−33−333333−33−3333000000000000000000000000000000000000000000002i−2i2i−2i−i3i3−i3i3−i3i3−i3i3−i−iii−i−iii000000000000000000000000
χ1026-66-66-66-6-300003-33-33-3333−33−333333−33−333300000000000000000000000000000000000000000000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i3ii−i−iii−i−i000000000000000000000000
χ1036-66-66-66-6-300003-33-33-33−333333−33−333333−33000000000000000000000000000000000000000000002i−2i2i−2ii3−i3i3−i3i3−i3i3−i3−i−iii−i−iii000000000000000000000000
χ1046-66-66-66-6-300003-33-33-33−333333−33−333333−3300000000000000000000000000000000000000000000−2i2i−2i2i−i3i3−i3i3−i3i3−i3i3ii−i−iii−i−i000000000000000000000000
χ1056-66-6-66-66-36-66-633-3-333-3-3-333-3-333000000000000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ1066-66-6-66-66-36-66-633-3-333-3-3-333-3-333000000000000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ1076-66-6-66-66-3-66-6633-3-333-333-3-333-3-3000000000000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ1086-66-6-66-66-3-66-6633-3-333-333-3-333-3-3000000000000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ1096-6-666-6-66-300003-333-33-3−3i33i33i3−3i33i3−3i3−3i33i3000000000000000000000000000000000000000000002-2-22−i3i3−i3i3i3−i3i3−i3-1-11111-1-1000000000000000000000000
χ1106-6-666-6-66-300003-333-33-3−3i33i33i3−3i33i3−3i3−3i33i300000000000000000000000000000000000000000000-222-2i3−i3i3−i3−i3i3−i3i311-1-1-1-111000000000000000000000000
χ1116-6-666-6-66-300003-333-33-33i3−3i3−3i33i3−3i33i33i3−3i3000000000000000000000000000000000000000000002-2-22i3−i3i3−i3−i3i3−i3i3-1-11111-1-1000000000000000000000000
χ1126-6-666-6-66-300003-333-33-33i3−3i3−3i33i3−3i33i33i3−3i300000000000000000000000000000000000000000000-222-2−i3i3−i3i3i3−i3i3−i311-1-1-1-111000000000000000000000000
χ1136-6-66-666-6-36i−6i−6i6i33-33-3-33−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i33−3−33−333−3000000000000000000000000
χ1146-6-66-666-6-36i−6i−6i6i33-33-3-33−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3−333−33−3−33000000000000000000000000
χ1156-6-66-666-6-3−6i6i6i−6i33-33-3-333i3i−3i−3i−3i−3i3i3i000000000000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3−333−33−3−33000000000000000000000000
χ1166-6-66-666-6-3−6i6i6i−6i33-33-3-333i3i−3i−3i−3i−3i3i3i000000000000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i33−3−33−333−3000000000000000000000000

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