Finite Group Databasebeta

← Group #13168441

Character table — Group #13168441

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666633346666666661212444436661212121212121212121212122224666666121212121212121212124444444412121212666666666121212121212122412121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111-1-1-1-111111111111111-1-1-1-111111-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-1-1-11-1-111-1-1-11-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-111-1-1-1-11-1-1-1-1-1111-111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-111111-1-1-1-1-1111-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-11-1-111-1-1-1111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-11-11111-1-11-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-1-11-1-1-1-1-111-11111-1-1-1111-1-111-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-11111111111-1-11-1-111-1-1111-1-111-1-1-1-11111-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1-111111-1-11111-1-1-1-1-1-1111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-111111-1-1-1-1-111-1-111-1-1-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-11111-1-1111111111111-111-1-111-1-1-111-1-1-1-1-1-11111-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111111-1-11-1-1-1-111-1111-1-111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-111-1-1111-1-1-1-1111-11111-1-11-1-11
χ17222222-12-12-12222-1-12-12-12-1-12-1-12-1220022-1-1-1-1-1222-1-1-1-1-1-1-1-102220022-1-122000022-1-100000022000002-100-1-1-1-1-100-1-1-1-1200000-1-1-1000
χ18222222-12-12-12222-1-12-12-12-1-12-1-12-1220022-1-1-1-1-1222-1-1-1-1-1-1-1-10-2-2200-2-21122000022-1-1000000-2-200000-21001111-100-1-1-1-1-200000111000
χ19222222-12-12-12222-1-12-12-12-1-12-1-12-12200-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1022-20022-1-1-2-20000-2-211000000-2-2000002-100-1-1-1-11001111-200000111000
χ20222222-12-12-12222-1-12-12-12-1-12-1-12-12200-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-10-2-2-200-2-211-2-20000-2-2110000002200000-210011111001111200000-1-1-1000
χ21222222-12-12-12222-1-12-1-2-12-1-12-1-12-1-2-20022-1-1-1-11-2-2-21111111102-2-2002211-2-2000022-1-1000000-2-200000-2-100-1-111100-1-11120000011-1000
χ22222222-12-12-12222-1-12-1-2-12-1-12-1-12-1-2-20022-1-1-1-11-2-2-2111111110-22-200-2-2-1-1-2-2000022-1-10000002200000210011-1-1100-1-111-200000-1-11000
χ23222222-12-12-12222-1-12-1-2-12-1-12-1-12-1-2-200-2-2-1-1-1-11-2-2-21111111102-22002211220000-2-2110000002200000-2-100-1-111-10011-1-1-200000-1-11000
χ24222222-12-12-12222-1-12-1-2-12-1-12-1-12-1-2-200-2-2-1-1-1-11-2-2-2111111110-22200-2-2-1-1220000-2-211000000-2-200000210011-1-1-10011-1-120000011-1000
χ2522222-12-1222-122-122-1-122-1-1-1-1-12-12222200-1-1-1-12-1-1-1-1-122-1-1-1-1222022-1-1220022-1-10000000022000000-1-12-1-1-1-1-1-10-1-100000200-1-1000-100
χ2622222-12-1222-122-122-1-122-1-1-1-1-12-12222200-1-1-1-12-1-1-1-1-122-1-1-1-12-2-202211-2-20022-1-100000000-2-2000000-11-2-1-111110-1-100000-20011000100
χ2722222-12-1222-122-122-1-122-1-1-1-1-12-1222-2-200-1-1-1-12-1-1-1-1-122-1-1-1-1-2220-2-2-1-12200-2-21100000000-2-20000001-1211-1-1-1-101100000-20011000100
χ2822222-12-1222-122-122-1-122-1-1-1-1-12-1222-2-200-1-1-1-12-1-1-1-1-122-1-1-1-1-2-2-20-2-211-2-200-2-211000000002200000011-211111101100000200-1-1000-100
χ2922222-12-1222-122-122-1-1-22-1-1-1-1-12-12-2-22200-1-1-1-1-211111-2-21111-22-20-2-2-1-1-2-20022-1-1000000002200000011211-1-1110-1-100000-200-1-1000100
χ3022222-12-1222-122-122-1-1-22-1-1-1-1-12-12-2-22200-1-1-1-1-211111-2-21111-2-220-2-211220022-1-100000000-2-20000001-1-21111-1-10-1-10000020011000-100
χ3122222-12-1222-122-122-1-1-22-1-1-1-1-12-12-2-2-2-200-1-1-1-1-211111-2-2111122-2022-1-1-2-200-2-21100000000-2-2000000-112-1-1-1-1110110000020011000-100
χ3222222-12-1222-122-122-1-1-22-1-1-1-1-12-12-2-2-2-200-1-1-1-1-211111-2-211112-22022112200-2-2110000000022000000-1-1-2-1-111-1-101100000-200-1-1000100
χ332222-12222-122-1-122-1-122-1-122-12-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-12002-1-10000-1-1-1-122-1-12222220000-1-1-1-1200-1-100002-1-1-1-1-1-100-1-100000000
χ342222-12222-122-1-122-1-122-1-122-12-1-1-1-1-122-2-2-1-1-1-122-1-122-1-1-1-1-1-1200-2-1-1000011-1-12211-2-2-2-2-2-200001111200-1-10000-2-1-11111001100000000
χ352222-12222-122-1-122-1-122-1-122-12-1-1-1-1-1-2-222-1-1-1-122-1-122-1-1-1-1-1-1-2002110000-1-111-2-2-1-122-2-2-2-200001111-200110000211-1-1-1-1001100000000
χ362222-12222-122-1-122-1-122-1-122-12-1-1-1-1-1-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-200-21100001111-2-211-2-222220000-1-1-1-1-200110000-211111100-1-100000000
χ372222-12222-122-1-122-1-12-2-1-122-12-1-1-1112222-1-1-1-1-2-211-2-2111111-200-211000011-1-122-1-12222-2-200001111-200110000-2-1-1-1-11100-1-100000000
χ382222-12222-122-1-122-1-12-2-1-122-12-1-1-11122-2-2-1-1-1-1-2-211-2-2111111-2002110000-1-1-1-12211-2-2-2-2220000-1-1-1-1-2001100002-1-111-1-1001100000000
χ392222-12222-122-1-122-1-12-2-1-122-12-1-1-111-2-222-1-1-1-1-2-211-2-2111111200-2-1-100001111-2-2-1-122-2-2220000-1-1-1-1200-1-10000-211-1-111001100000000
χ402222-12222-122-1-122-1-12-2-1-122-12-1-1-111-2-2-2-2-1-1-1-1-2-211-2-21111112002-1-10000-1-111-2-211-2-222-2-200001111200-1-1000021111-1-100-1-100000000
χ4122-2-22222-2-2-2-22-2-222220-222-2-2-22-2-2002i−2i2-222-2-20000000000000000000000002i−2i2i−2i2-22-22i−2i000000000000000000002i−2i2-200002i−2i00000000
χ4222-2-22222-2-2-2-22-2-222220-222-2-2-22-2-2002i−2i-2222-2-20000000000000000000000002i−2i2i−2i-22-22−2i2i000000000000000000002i−2i-220000−2i2i00000000
χ4322-2-22222-2-2-2-22-2-222220-222-2-2-22-2-200−2i2i2-222-2-2000000000000000000000000−2i2i−2i2i2-22-2−2i2i00000000000000000000−2i2i2-20000−2i2i00000000
χ4422-2-22222-2-2-2-22-2-222220-222-2-2-22-2-200−2i2i-2222-2-2000000000000000000000000−2i2i−2i2i-22-222i−2i00000000000000000000−2i2i-2200002i−2i00000000
χ4522-2-2-1222-21-2-2-11-22-1-1201-12-21-2-1113−32i−2i2-2-1-111003−3003−333−3−30000−i3i300003−3−ii2i−2i-112-22i−2i000000−i3−i3i3i3000−i3i300000−ii-113−300−ii00000000
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χ4822-2-2-1222-21-2-2-11-22-1-1201-12-21-2-1113−3−2i2i-22-1-111003−3003−333−3−30000i3−i30000−33i−i−2i2i1-1-222i−2i000000−i3−i3i3i3000i3−i300000i−i1-1−3300−ii00000000
χ4922-2-2-1222-21-2-2-11-22-1-1201-12-21-2-111−332i−2i2-2-1-11100−3300−33−3−3330000i3−i30000−33−ii2i−2i-112-22i−2i000000i3i3−i3−i3000i3−i300000−ii-11−3300−ii00000000
χ5022-2-2-1222-21-2-2-11-22-1-1201-12-21-2-111−332i−2i-22-1-11100−3300−33−3−3330000i3−i300003−3−ii2i−2i1-1-22−2i2i000000−i3−i3i3i3000i3−i300000−ii1-13−300i−i00000000
χ5122-2-2-1222-21-2-2-11-22-1-1201-12-21-2-111−33−2i2i2-2-1-11100−3300−33−3−3330000−i3i30000−33i−i−2i2i-112-2−2i2i000000−i3−i3i3i3000−i3i300000i−i-11−3300i−i00000000
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χ532-22-2222-22-2-2-2-222-222202-2-22-2-2-22-20000002-22-200000000000000000000000000000000002i−2i2-22i−2i2i−2i2i−2i000000000000000000002-22i−2i0000
χ542-22-2222-22-2-2-2-222-222202-2-22-2-2-22-20000002-22-200000000000000000000000000000000002i−2i-22−2i2i2i−2i2i−2i00000000000000000000-22−2i2i0000
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χ5944444-2-2-2-24-2-244-2-2-2-21-4-2-211-21-2-2-2-4-4000011112222-1-122-1-1-1-104-4000-2-222000000000000000000000002-20011-1-10000000000000000000
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χ634444-24-24-2-2-24-2-24-21-2-2-41-2-2-2-2-21-2122004411112-42222-1-1-1-1-1-1000-4000000220000-2-2-2-200000000000000000000020011-1-1000000000000
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χ894-4-4444-2-424-24-4-4-42-24-202-4224-22-4-2000000-222-2000000000000000000002i3−2i3000000000000000000000000000002i3−2i30000000000000000000
χ904-4-444-242-444-2-4-42-44-2-20-4222-2-2-424000000-222-2000000000000000000−2i32i300000000000000000000000000000−2i32i3000000000000000000000
χ914-4-444-242-444-2-4-42-44-2-20-4222-2-2-424000000-222-20000000000000000002i3−2i3000000000000000000000000000002i3−2i3000000000000000000000
χ924-4-444-2-2224-2-2-4-422-2-21022-1-1-2122-20000001-1-1100003-3003-33-3000000−2i32i3−2i32i3000000000000000000000000000i3−i3i3−i30000000000000000000
χ934-4-444-2-2224-2-2-4-422-2-21022-1-1-2122-20000001-1-1100003-3003-33-30000002i3−2i32i3−2i3000000000000000000000000000−i3i3−i3i30000000000000000000
χ944-4-444-2-2224-2-2-4-422-2-21022-1-1-2122-20000001-1-110000-3300-33-33000000−2i32i32i3−2i3000000000000000000000000000i3−i3−i3i30000000000000000000
χ954-4-444-2-2224-2-2-4-422-2-21022-1-1-2122-20000001-1-110000-3300-33-330000002i3−2i3−2i32i3000000000000000000000000000−i3i3i3−i30000000000000000000
χ964-4-44-244-4-4-24422-4-4-2-24022-4-4-2422-2000000-222-2000000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ974-4-44-244-4-4-24422-4-4-2-24022-4-4-2422-2000000-222-20000000000000000000000000000000000000000−232323−230000000000000000000000000000
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
χ10088-8-88-4-4-44-8448-84-4-4-4204-42-24-2-44400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-44444-444-42220-222-2-2-22-2-243−430000-1-11100−232300−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-44444-444-42220-222-2-2-22-2-2−43430000-1-1110023−230023−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-44-4-844-88-44-4-420-44-224-24-440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4-8-444-84-4842-4-40244-444-2-4-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-48484-844-4-4-8-42-40-4-24-4-244240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-44-44444-4-4422202-2-22-2-2-22-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-44-44444-4-4422202-2-22-2-2-22-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4-84-4-4844-842-4-40-2444-4-4-2420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-484-8-48-4444-8-42-404-2442-44-2-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-4-4-444442220-2-2-2-222-2-22000000-111-100006-600-33-33000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-4-4-444442220-2-2-2-222-2-22000000-111-10000-66003-33-3000000000000000000000000000000000000000000000000000000000000

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