Finite Group Databasebeta

← Group #13171978

Character table — Group #13171978

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666623336666666666644443666666666666666244466121212121212121212121212121222224444666666612121212121212121212121212446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-11-1-1111111111111-1-11111-1-1-1-11111-1-1-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111111-1-1-1-111-11-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111111-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-11111111-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-11-1-1-1-1111-111
χ71111111111111111111111111111111-1-1-1-111111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
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
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-11-111-1-111-11-11
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111-111111-1-11-11-1
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111111111111-11-111-1-1-1-111-1-1-1-1-1-11111-1-11-1
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-11
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111111111-1-1-11-11-1-11111-1-111-1-1-1-11111-1-1-11
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-111-1-111-1-1-111111-1-11-1-11
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111111-111-1-111-111-1
χ17222222-1-122-1-122222-1-12-1-1-1-122-1-1-1-122222-122-1-1-1-122-1-1-1-1-1-1-102020022-1-1-1-1-1-1-1-1220022220000-1-1-1-1000220-1-1-1-1-1-1-1-10000-1-100000000
χ18222222-1-122-1-122222-1-12-1-1-1-122-1-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-10-20200-2-2-1-1-1-111112200-2-2-2-2000011110002-20-1-1-1-1111100001100000000
χ19222222-1-122-1-122222-1-12-1-1-1-122-1-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-1020-200221111-1-1-1-1-2-200-2-2-2-200001111000-2201111-1-1-1-100001100000000
χ20222222-1-122-1-122222-1-12-1-1-1-122-1-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-10-20-200-2-211111111-2-20022220000-1-1-1-1000-2-20111111110000-1-100000000
χ21222222-1-122-1-12222-2-1-1211-1-122-1-1-1-122222-1-2-21111-2-2-1-1-111110-20-20022-1-111-1-111220022-2-200001111000-2-20-1-111-1-1110000-1-100000000
χ22222222-1-122-1-12222-2-1-1211-1-122-1-1-1-1222-2-2-1-2-21111-2-2-1-1-11111020-200-2-2-1-11111-1-12200-2-2220000-1-1-1-1000-220-1-11111-1-100001100000000
χ23222222-1-122-1-12222-2-1-1211-1-122-1-1-1-12-2-222-1-2-21111-2-2-1-1-111110-202002211-1-1-1-111-2-200-2-2220000-1-1-1-10002-2011-1-1-1-11100001100000000
χ24222222-1-122-1-12222-2-1-1211-1-122-1-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-11111020200-2-211-1-111-1-1-2-20022-2-20000111100022011-1-111-1-10000-1-100000000
χ2522222-1222-1222-12-122-1-1222-1-1-122-1-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-1222022-1-10000222200-1-1000000220000-1-1-10-120000-1-1-1-1-1-12000-1-1000-100
χ2622222-1222-1222-12-122-1-1222-1-1-122-1-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-1-22-20-2-2-1-1000022220011000000-2-200001110-1-20000-1-1-1-111-200011000100
χ2722222-1222-1222-12-122-1-1222-1-1-122-1-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-12-22022110000-2-2-2-200-1-1000000-2-20000-1-1-101200001111-1-1-200011000100
χ2822222-1222-1222-12-122-1-1222-1-1-122-1-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2110000-2-2-2-2001100000022000011101-200001111112000-1-1000-100
χ2922222-1222-1222-12-1-22-1-1-2-22-1-1-122-1-1-10022-1-21-2-21111-1-1-111112-2-2022-1-1000022-2-20011000000-2-20000-1-1-101-20000-1-11111200011000-100
χ3022222-1222-1222-12-1-22-1-1-2-22-1-1-122-1-1-10022-1-21-2-21111-1-1-11111-2-220-2-2-1-1000022-2-200-1-10000002200001110120000-1-111-1-1-2000-1-1000100
χ3122222-1222-1222-12-1-22-1-1-2-22-1-1-122-1-1-100-2-2-1-21-2-21111-1-1-1111122-2022110000-2-2220011000000220000-1-1-10-1-2000011-1-111-2000-1-1000100
χ3222222-1222-1222-12-1-22-1-1-2-22-1-1-122-1-1-100-2-2-1-21-2-21111-1-1-11111-2220-2-2110000-2-22200-1-1000000-2-200001110-12000011-1-1-1-1200011000-100
χ332222-1222-1222-12-122-12-122-12-1-1-1-122-12200-1-12-1-122-1-1-1-1-1-1-1-1-12022-1-10022220000-1-1220000220000002-1-1-10-1-1-1-1-10000-1-1020000-1-1-1000
χ342222-1222-1222-12-122-12-122-12-1-1-1-122-12200-1-12-1-122-1-1-1-1-1-1-1-1-1-20-22110022220000-1-1-2-20000-2-2000000-211-101-1-1-1-10000110-20000111000
χ352222-1222-1222-12-122-12-122-12-1-1-1-122-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-1202-2-1-100-2-2-2-2000011220000-2-20000002-1-110-111110000-1-10-20000111000
χ362222-1222-1222-12-122-12-122-12-1-1-1-122-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-21100-2-2-2-2000011-2-2000022000000-2111011111000011020000-1-1-1000
χ372222-1222-1222-12-12-2-12-1-2-2-12-1-1-1-122-12200-11-211-2-211-1-1-1111120-2-2-1-10022-2-20000-1-1-2-20000220000002-1-1101-1-1110000110-20000-1-11000
χ382222-1222-1222-12-12-2-12-1-2-2-12-1-1-1-122-12200-11-211-2-211-1-1-11111-202-2110022-2-20000-1-1220000-2-2000000-21110-1-1-1110000-1-102000011-1000
χ392222-1222-1222-12-12-2-12-1-2-2-12-1-1-1-122-1-2-200-11-211-2-211-1-1-1111120-22-1-100-2-222000011-2-20000-2-20000002-1-1-10111-1-100001102000011-1000
χ402222-1222-1222-12-12-2-12-1-2-2-12-1-1-1-122-1-2-200-11-211-2-211-1-1-11111-20221100-2-22200001122000022000000-211-10-111-1-10000-1-10-20000-1-11000
χ412-22-2222-2222-2-2-2-2-2022200-2-22-22-22-2-200002000000002-2-2000000000000000000000000002-22i−2i2i−2i22-2-2000000000000000000002i−2i2i−2i0000
χ422-22-2222-2222-2-2-2-2-2022200-2-22-22-22-2-200002000000002-2-2000000000000000000000000002-2−2i2i−2i2i22-2-200000000000000000000−2i2i−2i2i0000
χ432-22-2222-2222-2-2-2-2-2022200-2-22-22-22-2-200002000000002-2-200000000000000000000000000-222i−2i−2i2i-2-22200000000000000000000−2i2i2i−2i0000
χ442-22-2222-2222-2-2-2-2-2022200-2-22-22-22-2-200002000000002-2-200000000000000000000000000-22−2i2i2i−2i-2-222000000000000000000002i−2i−2i2i0000
χ452-2-222222-2-2-2-222-2-202220022-22-2-2-2-2-22i−2i2i−2i200000000-22-200000000002i−2i2i−2i002i−2i002i−2i002-200000000000000002i−2i002i−2i0000002-200000000
χ462-2-222222-2-2-2-222-2-202220022-22-2-2-2-2-22i−2i−2i2i200000000-22-20000000000−2i2i2i−2i00−2i2i002i−2i00-2200000000000000002i−2i00−2i2i000000-2200000000
χ472-2-222222-2-2-2-222-2-202220022-22-2-2-2-2-2−2i2i2i−2i200000000-22-200000000002i−2i−2i2i002i−2i00−2i2i00-220000000000000000−2i2i002i−2i000000-2200000000
χ482-2-222222-2-2-2-222-2-202220022-22-2-2-2-2-2−2i2i−2i2i200000000-22-20000000000−2i2i−2i2i00−2i2i00−2i2i002-20000000000000000−2i2i00−2i2i0000002-200000000
χ492-2-2222-1-1-2-21122-2-20-1-12−i3i3-1-1-221111-22i−2i2i−2i-100−i3i3−i3i3001-11−i3−i3i3i30000002i−2i−ii3−3−ii3−32i−2i002-2000000−i3i3−i3i3000000−ii3−3−ii3−30000-1100000000
χ502-2-2222-1-1-2-21122-2-20-1-12−i3i3-1-1-221111-22i−2i−2i2i-100−i3i3−i3i3001-11−i3−i3i3i3000000−2i2i−ii3−3i−i−332i−2i00-22000000i3−i3i3−i3000000−ii3−3i−i−3300001-100000000
χ512-2-2222-1-1-2-21122-2-20-1-12−i3i3-1-1-221111-2−2i2i2i−2i-100−i3i3−i3i3001-11−i3−i3i3i30000002i−2ii−i−33−ii3−3−2i2i00-22000000i3−i3i3−i3000000i−i−33−ii3−300001-100000000
χ522-2-2222-1-1-2-21122-2-20-1-12−i3i3-1-1-221111-2−2i2i−2i2i-100−i3i3−i3i3001-11−i3−i3i3i3000000−2i2ii−i−33i−i−33−2i2i002-2000000−i3i3−i3i3000000i−i−33i−i−330000-1100000000
χ532-2-2222-1-1-2-21122-2-20-1-12i3−i3-1-1-221111-22i−2i2i−2i-100i3−i3i3−i3001-11i3i3−i3−i30000002i−2i−ii−33−ii−332i−2i002-2000000i3−i3i3−i3000000−ii−33−ii−330000-1100000000
χ542-2-2222-1-1-2-21122-2-20-1-12i3−i3-1-1-221111-22i−2i−2i2i-100i3−i3i3−i3001-11i3i3−i3−i3000000−2i2i−ii−33i−i3−32i−2i00-22000000−i3i3−i3i3000000−ii−33i−i3−300001-100000000
χ552-2-2222-1-1-2-21122-2-20-1-12i3−i3-1-1-221111-2−2i2i2i−2i-100i3−i3i3−i3001-11i3i3−i3−i30000002i−2ii−i3−3−ii−33−2i2i00-22000000−i3i3−i3i3000000i−i3−3−ii−3300001-100000000
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χ5744444-2-2-24-2-2-24-24-24-21-2-2-2-21-2-2-2-211-2004414-2-2-211-2-21111111040000-2-20000-2-2-2-200000000000000000000-200000111100000000000000
χ5844444-2-2-24-2-2-24-24-24-21-2-2-2-21-2-2-2-211-200-4-414-2-2-211-2-211111110-40000220000222200000000000000000000200000-1-1-1-100000000000000
χ5944444-2-2-24-2-2-24-24-2-4-21-222-21-2-2-2-211-200441-4222-1-122111-1-1-1-10-40000-2-20000-2-2220000000000000000000020000011-1-100000000000000
χ6044444-2-2-24-2-2-24-24-2-4-21-222-21-2-2-2-211-200-4-41-4222-1-122111-1-1-1-104000022000022-2-200000000000000000000-200000-1-11100000000000000
χ614444-24-2-2-24-2-2-24-2441-2-2-2-21-2-2-211-2-2-244001-2411-2-2-2-2111111100040000-2-2-2-20000-2-200000000000000000-2001111000000000000000000
χ624444-24-2-2-24-2-2-24-2441-2-2-2-21-2-2-211-2-2-2-4-4001-2411-2-2-2-21111111000-40000222200002200000000000000000200-1-1-1-1000000000000000000
χ634444-24-2-2-24-2-2-24-24-41-2-2221-2-2-211-2-2-2440012-4-1-12222111-1-1-1-1000-40000-2-2220000-2-20000000000000000020011-1-1000000000000000000
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χ804-44-444-2244-22-4-4-4-40-2-2400224-4-22-22-40000-200000000-222000000000000000000000000004-40000-2-2220000000000000000000000000000
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χ874-4-444-244-42-4-44-2-4204-2-2004-22-2-4-422200−4i4i-2000000002-2200000000002i−2i0000−4i4i00000000000000000000000000002i−2i0000000000000000
χ884-4-444-2-2-2-42224-2-420-21-2−2i32i3-212-222-1-12004i−4i100−2i32i3i3−i300-11-1i3i3−i3−i3000000−2i2i0000−2i2i23−2300000000000000000000000000i−i−3300000000000000
χ894-4-444-2-2-2-42224-2-420-21-2−2i32i3-212-222-1-1200−4i4i100−2i32i3i3−i300-11-1i3i3−i3−i30000002i−2i00002i−2i−232300000000000000000000000000−ii3−300000000000000
χ904-4-444-2-2-2-42224-2-420-21-22i3−2i3-212-222-1-12004i−4i1002i3−2i3−i3i300-11-1−i3−i3i3i3000000−2i2i0000−2i2i−232300000000000000000000000000i−i3−300000000000000
χ914-4-444-2-2-2-42224-2-420-21-22i3−2i3-212-222-1-1200−4i4i1002i3−2i3−i3i300-11-1−i3−i3i3i30000002i−2i00002i−2i23−2300000000000000000000000000−ii−3300000000000000
χ924-4-44-24442-4-4-4-242-40-24-200-242-222-4-424i−4i00-2000000002-220000000000004i−4i000000−2i2i00000000000000000000−2i2i00000000000000000000
χ934-4-44-24442-4-4-4-242-40-24-200-242-222-4-42−4i4i00-2000000002-22000000000000−4i4i0000002i−2i000000000000000000002i−2i00000000000000000000
χ944-4-44-24-2-22-422-242-401-2-2−2i32i31-22-2-1-12224i−4i00100i3−i3−2i32i300-11-1i3i3−i3−i300000000−2i2i23−230000−2i2i00000000000000000000i−i−33000000000000000000
χ954-4-44-24-2-22-422-242-401-2-2−2i32i31-22-2-1-1222−4i4i00100i3−i3−2i32i300-11-1i3i3−i3−i3000000002i−2i−232300002i−2i00000000000000000000−ii3−3000000000000000000
χ964-4-44-24-2-22-422-242-401-2-22i3−2i31-22-2-1-12224i−4i00100−i3i32i3−2i300-11-1−i3−i3i3i300000000−2i2i−23230000−2i2i00000000000000000000i−i3−3000000000000000000
χ974-4-44-24-2-22-422-242-401-2-22i3−2i31-22-2-1-1222−4i4i00100−i3i32i3−2i300-11-1−i3−i3i3i3000000002i−2i23−2300002i−2i00000000000000000000−ii−33000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-44-844-4-848-40-42-4004-2444-4-22-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-444-84-44-8-4802-4-400-2444-224-4-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-44444-444-4-4022200-2-2-2-2-22-2220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-44444-444-4-4022200-2-2-2-2-22-2220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-448-4-44-84-840-42-4004-2-44-442-2400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-44-48-444-84-802-4-400-24-442-2-44400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-48-8-4-48-844440-4-4200442-2-44-44-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-44-4-4-444444022200-2-22-22-22-2-20000-100000000-111−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-44-4-4-444444022200-2-22-22-22-2-20000-100000000-1113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48844-8-8-4-4440-4-4200-4-4-224444-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-44444-4-4440222−4i34i322-22-2-2-2-2-20000-1002i3−2i32i3−2i3001-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-44444-4-44402224i3−4i322-22-2-2-2-2-20000-100−2i32i3−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000

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