Finite Group Databasebeta

← Group #13168606

Character table — Group #13168606

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666633346666666661212444436661212121212121212121212122444661212121212121212121212121212224444441212121266612121212121212121212121212446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-11-1111111-1-1-1-111111111-1-1-1-1111111111-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-1111-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111111111-11-1-1-1-111-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11-1-1-111-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11-111-1-1111-1-11
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-111111-1-1-111-1
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11111111-1-1-1-111-1-1-1-1-1-1111-1
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-11
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-1
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-111111-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-111-1-111-1-1-1-1111-111-1-1111-11-1
χ17222222-12-1-1222-1222-1-122-1-1-12-1-12-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-12020-1-1-1-1-1-100002222-1-122000022-1-1-1-12-1-1002-1-1-1-100-1-10000-1-100000000
χ18222222-12-1-1222-1222-1-122-1-1-12-1-12-1-1-122-2-2-1-1-1-122-1-122-1-1-1-1-1-120-20-1-1-1-111000022-2-211-2-20000-2-211112-1-100-2-1-111001100001100000000
χ19222222-12-1-1222-1222-1-122-1-1-12-1-12-1-1-1-2-222-1-1-1-122-1-122-1-1-1-1-1-1-20201111-1-10000-2-222-1-1-2-20000-2-21111-21100211-1-100-1-100001100000000
χ20222222-12-1-1222-1222-1-122-1-1-12-1-12-1-1-1-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-20-201111110000-2-2-2-21122000022-1-1-1-1-21100-2111100110000-1-100000000
χ21222222-12-1-1222-1222-1-1-22-1-1-12-1-12-1112222-1-1-1-1-2-211-2-2111111-20-2011-1-11100002222-1-1220000-2-21111-21100-2-1-11100-1-10000-1-100000000
χ22222222-12-1-1222-1222-1-1-22-1-1-12-1-12-11122-2-2-1-1-1-1-2-211-2-2111111-202011-1-1-1-1000022-2-211-2-2000022-1-1-1-1-211002-1-1-1-1001100001100000000
χ23222222-12-1-1222-1222-1-1-22-1-1-12-1-12-111-2-222-1-1-1-1-2-211-2-211111120-20-1-111110000-2-222-1-1-2-2000022-1-1-1-12-1-100-2111100-1-100001100000000
χ24222222-12-1-1222-1222-1-1-22-1-1-12-1-12-111-2-2-2-2-1-1-1-1-2-211-2-21111112020-1-111-1-10000-2-2-2-211220000-2-211112-1-100211-1-100110000-1-100000000
χ2522222-12222-1-122-12-12-12-12-1-1-12-1-12222200-1-1-1-1-12-1-1-1-122-1-1-1-1220222220022-1-1-1-10000002200000000-1-1-1-120-1-100-1-100-1-12000-1-100-1000
χ2622222-12222-1-122-12-12-12-12-1-1-12-1-12222200-1-1-1-1-12-1-1-1-122-1-1-1-12-20-2222200-2-211-1-1000000-2-200000000-1-1-11-20-1-100110011-200011001000
χ2722222-12222-1-122-12-12-12-12-1-1-12-1-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2202-2-2-2-20022-1-111000000-2-200000000111-1201100-1-100-1-1-200011001000
χ2822222-12222-1-122-12-12-12-12-1-1-12-1-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-20-2-2-2-2-200-2-2111100000022000000001111-2011001100112000-1-100-1000
χ2922222-12222-1-122-12-12-1-2-12-1-1-12-1-12-2-22200-1-1-1-11-21111-2-21111-220-2-2-222002211-1-1000000-2-200000000111-1-20-1-100-1-1001120001100-1000
χ3022222-12222-1-122-12-12-1-2-12-1-1-12-1-12-2-22200-1-1-1-11-21111-2-21111-2-202-2-22200-2-2-1-1-1-10000002200000000111120-1-1001100-1-1-2000-1-1001000
χ3122222-12222-1-122-12-12-1-2-12-1-1-12-1-12-2-2-2-200-1-1-1-11-21111-2-21111220-222-2-2002211110000002200000000-1-1-1-1-201100-1-10011-2000-1-1001000
χ3222222-12222-1-122-12-12-1-2-12-1-1-12-1-12-2-2-2-200-1-1-1-11-21111-2-211112-20222-2-200-2-2-1-111000000-2-200000000-1-1-112011001100-1-120001100-1000
χ332222-122-12222-122-1-1-122-1-122-1-12-1-1220022-1-1-1-12-122-1-1-1-1-1-1-1-10222000022-1-12200-1-1220000220000000002-1-100-1-1-1-1-1-1-1-1020000-1-10-100
χ342222-122-12222-122-1-1-122-1-122-1-12-1-1220022-1-1-1-12-122-1-1-1-1-1-1-1-10-22-200002211-2-200-1-1220000-2-2000000000-21-100-1-111-1-1110-20000110100
χ352222-122-12222-122-1-1-122-1-122-1-12-1-12200-2-2-1-1-1-12-122-1-1-1-1-1-1-1-102-220000-2-2-1-1220011-2-20000-2-20000000002-110011-1-111-1-10-20000110100
χ362222-122-12222-122-1-1-122-1-122-1-12-1-12200-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10-2-2-20000-2-211-2-20011-2-2000022000000000-2110011111111020000-1-10-100
χ372222-122-12222-122-1-1-12-2-1-122-1-12-1-1-2-20022-1-1-1-1-21-2-21111111102-2-20000-2-2-1-1-2-200-1-1220000220000000002110011-1-1-1-1110-20000-1-10100
χ382222-122-12222-122-1-1-12-2-1-122-1-12-1-1-2-20022-1-1-1-1-21-2-2111111110-2-220000-2-2112200-1-1220000-2-2000000000-2-11001111-1-1-1-1020000110-100
χ392222-122-12222-122-1-1-12-2-1-122-1-12-1-1-2-200-2-2-1-1-1-1-21-2-211111111022-2000022-1-1-2-20011-2-20000-2-200000000021-100-1-1-1-11111020000110-100
χ402222-122-12222-122-1-1-12-2-1-122-1-12-1-1-2-200-2-2-1-1-1-1-21-2-2111111110-22200002211220011-2-2000022000000000-2-1-100-1-11111-1-10-20000-1-10100
χ412-22-2222-22-2-2-2-2-22222202-22-2-22-2-2-2002i−2i2i−2i22-2-20000000000000000002i−2i0000002i−2i2i−2i2i−2i2-200000000000000002i−2i00002i−2i00002-200000000
χ422-22-2222-22-2-2-2-2-22222202-22-2-22-2-2-2002i−2i−2i2i22-2-20000000000000000002i−2i0000002i−2i−2i2i−2i2i-2200000000000000002i−2i0000−2i2i0000-2200000000
χ432-22-2222-22-2-2-2-2-22222202-22-2-22-2-2-200−2i2i2i−2i22-2-2000000000000000000−2i2i000000−2i2i2i−2i2i−2i-220000000000000000−2i2i00002i−2i0000-2200000000
χ442-22-2222-22-2-2-2-2-22222202-22-2-22-2-2-200−2i2i−2i2i22-2-2000000000000000000−2i2i000000−2i2i−2i2i−2i2i2-20000000000000000−2i2i0000−2i2i00002-200000000
χ452-22-222-1-2-11-2-2-21222-1-1021-11-2-11-213−32i−2i2i−2i-1-111003−3003−333−3−30000−i3i3−ii−i3i300002i−2i2i−2i−ii2-200000033−3−30−i3i3000−ii−i3i300−ii0000-1100000000
χ462-22-222-1-2-11-2-2-21222-1-1021-11-2-11-213−32i−2i−2i2i-1-111003−3003−333−3−30000−i3i3−iii3−i300002i−2i−2i2ii−i-22000000−3−3330−i3i3000−iii3−i300i−i00001-100000000
χ472-22-222-1-2-11-2-2-21222-1-1021-11-2-11-213−3−2i2i2i−2i-1-111003−3003−333−3−30000i3−i3i−i−i3i30000−2i2i2i−2i−ii-22000000−3−3330i3−i3000i−i−i3i300−ii00001-100000000
χ482-22-222-1-2-11-2-2-21222-1-1021-11-2-11-213−3−2i2i−2i2i-1-111003−3003−333−3−30000i3−i3i−ii3−i30000−2i2i−2i2ii−i2-200000033−3−30i3−i3000i−ii3−i300i−i0000-1100000000
χ492-22-222-1-2-11-2-2-21222-1-1021-11-2-11-21−332i−2i2i−2i-1-11100−3300−33−3−3330000i3−i3−iii3−i300002i−2i2i−2i−ii2-2000000−3−3330i3−i3000−iii3−i300−ii0000-1100000000
χ502-22-222-1-2-11-2-2-21222-1-1021-11-2-11-21−332i−2i−2i2i-1-11100−3300−33−3−3330000i3−i3−ii−i3i300002i−2i−2i2ii−i-2200000033−3−30i3−i3000−ii−i3i300i−i00001-100000000
χ512-22-222-1-2-11-2-2-21222-1-1021-11-2-11-21−33−2i2i2i−2i-1-11100−3300−33−3−3330000−i3i3i−ii3−i30000−2i2i2i−2i−ii-2200000033−3−30−i3i3000i−ii3−i300−ii00001-100000000
χ522-22-222-1-2-11-2-2-21222-1-1021-11-2-11-21−33−2i2i−2i2i-1-11100−3300−33−3−3330000−i3i3i−i−i3i30000−2i2i−2i2ii−i2-2000000−3−3330−i3i3000i−i−i3i300i−i0000-1100000000
χ532-2-22222-2-2-22-222-2-22220-2-2-22-2-2-2220000002-2-2200000000000000000000000000000000002i−2i2i−2i2-22-22-2000000000000000000002i−2i2i−2i0000
χ542-2-22222-2-2-22-222-2-22220-2-2-22-2-2-2220000002-2-2200000000000000000000000000000000002i−2i−2i2i-22-22-22000000000000000000002i−2i−2i2i0000
χ552-2-22222-2-2-22-222-2-22220-2-2-22-2-2-2220000002-2-220000000000000000000000000000000000−2i2i2i−2i-22-22-2200000000000000000000−2i2i2i−2i0000
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χ5744444-2-24-2-2-2-24-2-24-2-214-2-211-2-21-2-2-2-244001111-2411-2-2-2-211114000-2-2-2-2000000-2-20000000000000000-2110001100000000000000000000
χ5844444-2-24-2-2-2-24-2-24-2-214-2-211-2-21-2-2-2-2-4-4001111-2411-2-2-2-21111-400022220000002200000000000000002-1-1000-1-100000000000000000000
χ5944444-2-24-2-2-2-24-2-24-2-21-4-2-211-2-21-2-222440011112-4-1-12222-1-1-1-1-400022-2-2000000-2-200000000000000002-1-10001100000000000000000000
χ6044444-2-24-2-2-2-24-2-24-2-21-4-2-211-2-21-2-222-4-40011112-4-1-12222-1-1-1-14000-2-222000000220000000000000000-211000-1-100000000000000000000
χ614444-24-2-2-2-244-2-24-2-21-24-21-2-2-21-2-21-2-2004411114-2-2-2-2-211111100400000-2-2000000-2-2-2-200000000000000000-20011001100000000000000
χ624444-24-2-2-2-244-2-24-2-21-24-21-2-2-21-2-21-2-200-4-411114-2-2-2-2-211111100-40000022000000222200000000000000000200-1-100-1-100000000000000
χ634444-24-2-2-2-244-2-24-2-21-2-4-21-2-2-21-2-212200441111-422222-1-1-1-1-1-100-40000022000000-2-2-2-200000000000000000200-1-1001100000000000000
χ644444-24-2-2-2-244-2-24-2-21-2-4-21-2-2-21-2-212200-4-41111-422222-1-1-1-1-1-100400000-2-2000000222200000000000000000-2001100-1-100000000000000
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χ814-44-44-24-44-422-4-4-24-24-20-2-4-222422-400−4i4i00-2-222000000000000000000−4i4i0000002i−2i00000000000000000000002i−2i00000000000000000000
χ824-44-44-2-2-4-2222-42-24-2-210-221-12-2-12223−234i−4i0011-1-100−330023−23−3−3330000−2i32i3−2i2i000000−2i2i00000000000000000i3−i3000i−i00000000000000000000
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χ854-44-44-2-2-4-2222-42-24-2-210-221-12-2-122−2323−4i4i0011-1-1003−300−232333−3−30000−2i32i32i−2i0000002i−2i00000000000000000i3−i3000−ii00000000000000000000
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χ874-44-4-24424-4-4-42-44-2-2-240-224-42-2-4220000−4i4i-2-22200000000000000000000000000002i−2i−4i4i0000000000000000000000002i−2i00000000000000
χ884-44-4-24-22-22-4-4224-2-21-20-2-1-222122-123−23004i−4i11-1-10023−2300−33−3−33300000000−2i32i3000000−2i2i−2i2i00000000000000000000i3−i300i−i00000000000000
χ894-44-4-24-22-22-4-4224-2-21-20-2-1-222122-123−2300−4i4i11-1-10023−2300−33−3−333000000002i3−2i30000002i−2i2i−2i00000000000000000000−i3i300−ii00000000000000
χ904-44-4-24-22-22-4-4224-2-21-20-2-1-222122-1−2323004i−4i11-1-100−2323003−333−3−3000000002i3−2i3000000−2i2i−2i2i00000000000000000000−i3i300i−i00000000000000
χ914-44-4-24-22-22-4-4224-2-21-20-2-1-222122-1−232300−4i4i11-1-100−2323003−333−3−300000000−2i32i30000002i−2i2i−2i00000000000000000000i3−i300−ii00000000000000
χ924-4-4444-2-4224-44-2-4-44-2-20-422-2-4224-2000000-222-2000000000000000000000000000000000000004-4-22-220000000000000000000000000000
χ934-4-4444-2-4224-44-2-4-44-2-20-422-2-4224-2000000-222-200000000000000000000000000000000000000-442-22-20000000000000000000000000000
χ944-4-444-24-4-4-4-22442-4-24-202-42-22-42-24000000-222-200000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i000000
χ954-4-444-24-4-4-4-22442-4-24-202-42-22-42-24000000-222-20000000000000000000000000000000000−4i4i00000000000000000000000000002i−2i000000
χ964-4-44-2442-4-44-4-24-42-2-24022-4422-4-2-2000000-222-20000000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000
χ974-4-44-2442-4-44-4-24-42-2-24022-4422-4-2-2000000-222-2000000000000000000000000000000000000−4i4i00000000000000000000000000002i−2i0000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-484-44-4-844-8-4-4204-4-2-2-442440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4-44-4-8844-84-42-404244-4-2-44-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-44-44-444442220-22-2-22-22-2-2000000-11-1100006i−6i00−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-44-44-444442220-22-2-22-22-2-2000000-11-110000−6i6i003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4848-8444-8-4-42-4-4024-44-2-44-2400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44-444444-4-422202-22-2-22-2-2-243−430000-1-11100−232300−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-44-444444-4-422202-22-2-22-2-2-2−43430000-1-1110023−230023−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-844-448-44-8-4-42044-2244-2-4-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44448-8-4-4-84-42-404-24-44-24-420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-484-8-8-44-48442-4-40-244-4-2442-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444-44-4-4442220-2-2-22-2-2-222000000-111-100000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444-44-4-4442220-2-2-22-2-2-222000000-111-1000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000

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