Finite Group Databasebeta

← Group #13169304

Character table — Group #13169304

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order1222333446666666663336666666661212121212123666121212121212121212124444444444121212121212121222222244441212121212121212121212121212121212121212121212126666661212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-111-1-1-1-111-1-1-1-11111111-11-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-111-1-1-1-1-1-11111-1-111111-11-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-1-1-1-11111-1-11111-11-1111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-111-1-111-1-1-1-1111111-11-11-1-111-1-111-1-111-1-111-1-111-1-1-1-111-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1111111-1-1-1-1-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-1-1-111111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111-111-1-1-1-11111-1-111-1-111-1-1-1-11111-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111111111-1-1-1-11-1
χ17222222-1222222-1-1-1222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222222200-1-1-1-1-1-1-1-12200000000-1-1-1-122220000-1-1-1-1-1-1-1-10000-1-10000000000
χ18222222-1222222-1-1-1222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-2-2-2-200111111112200000000-1-1-1-1-2-2-2-20000111111110000-1-10000000000
χ19222222-1222222-1-1-1222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-222-2-200-1-1-1-11111-2-200000000111122-2-20000-1-1-1-111110000110000000000
χ20222222-1222222-1-1-1222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-222001111-1-1-1-1-2-2000000001111-2-22200001111-1-1-1-10000110000000000
χ21222222-1-2-22222-1-1-1222-1-122-1-1-1-1-1-1211-2-2-2-2-1-1-1-11111-2-2111122222-22-200-1-111-1-111-2-200000000-1-1-1-12-22-20000-1-111-1-1110000110000000000
χ22222222-1-2-22222-1-1-1222-1-122-1-1-1-1-1-1211-2-2-2-2-1-1-1-11111-2-211112222-22-220011-1-111-1-1-2-200000000-1-1-1-1-22-22000011-1-111-1-10000110000000000
χ23222222-1-2-22222-1-1-1222-1-122-1-1-1-1-1-1211-2-2-2-2-1-1-1-11111-2-21111-2-2-2-22-2-2200-1-11111-1-1220000000011112-2-220000-1-11111-1-10000-1-10000000000
χ24222222-1-2-22222-1-1-1222-1-122-1-1-1-1-1-1211-2-2-2-2-1-1-1-11111-2-21111-2-2-2-2-222-20011-1-1-1-11122000000001111-222-2000011-1-1-1-1110000-1-10000000000
χ2522222-12222-12-12222-1-12-1-1-12-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10000002222000022220000220022000000-1-12-12-10000-1-1-1-1-1-1-1-10000-1-100-1-100
χ2622222-12222-12-12222-1-12-1-1-12-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100000022-2-2000022220000-2-200-2-2000000-1-1-21-210000-1-1-1-11111000011001100
χ2722222-12222-12-12222-1-12-1-1-12-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2220000-2-2-2-20000-2-200-2-2000000112-12-100001111-1-1-1-1000011001100
χ2822222-12222-12-12222-1-12-1-1-12-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2-2-20000-2-2-2-2000022002200000011-21-210000111111110000-1-100-1-100
χ2922222-12-2-22-12-12222-1-12-1-1-12-12-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000002-22-2000022-2-20000-2-20022000000-112-1-210000-1-111-1-11100001100-1-100
χ3022222-12-2-22-12-12222-1-12-1-1-12-12-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000002-2-22000022-2-200002200-2-2000000-11-212-10000-1-11111-1-10000-1-1001100
χ3122222-12-2-22-12-12222-1-12-1-1-12-12-12-1-1-2-2-2-211-1-1-1-1-2-211111111000000-222-20000-2-22200002200-2-20000001-12-1-21000011-1-1-1-1110000-1-1001100
χ3222222-12-2-22-12-12222-1-12-1-1-12-12-12-1-1-2-2-2-211-1-1-1-1-2-211111111000000-22-220000-2-2220000-2-200220000001-1-212-1000011-1-111-1-100001100-1-100
χ332222-12222-12-12222-12-1-12-1-1-12-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100002200222222000000220022000000-1-100-12-12-1-1-1-10000-1-1-1-100-1-100-1-10000
χ342222-12222-12-12222-12-1-12-1-1-12-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100002200-2-22222000000-2-200-2-2000000-1-1001-21-2-1-1-1-100001111001100110000
χ352222-12222-12-12222-12-1-12-1-1-12-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-20022-2-2-2-2000000-2-200-2-20000001100-12-1211110000-1-1-1-1001100110000
χ362222-12222-12-12222-12-1-12-1-1-12-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2-2-2-2-2-200000022002200000011001-21-211110000111100-1-100-1-10000
χ372222-122-2-2-12-12222-12-1-12-1-1-12-12-12-1-2-211-2-2-1-1-1-111-2-211111100002-2002-222-2-20000002200-2-2000000-1100-121-2-1-1110000-1-11100-1-100110000
χ382222-122-2-2-12-12222-12-1-12-1-1-12-12-12-1-2-211-2-2-1-1-1-111-2-211111100002-200-2222-2-2000000-2-20022000000-11001-2-12-1-111000011-1-1001100-1-10000
χ392222-122-2-2-12-12222-12-1-12-1-1-12-12-12-1-2-211-2-2-1-1-1-111-2-21111110000-22002-2-2-222000000-2-200220000001-100-121-211-1-10000-1-111001100-1-10000
χ402222-122-2-2-12-12222-12-1-12-1-1-12-12-12-1-2-211-2-2-1-1-1-111-2-21111110000-2200-22-2-2220000002200-2-20000001-1001-2-1211-1-1000011-1-100-1-100110000
χ4122-2-2222002-2-222-2-2-2-22222-22-2-2-2-22-200000022-2-200000000002i2i−2i−2i00000000000000002-200002i−2i2i2i−2i−2i00000000000000000000002-200002i−2i00
χ4222-2-2222002-2-222-2-2-2-22222-22-2-2-2-22-200000022-2-200000000002i2i−2i−2i0000000000000000-220000−2i2i2i2i−2i−2i0000000000000000000000-220000−2i2i00
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χ452-22-222200-222-2-22-2-2-2222-22-22-2-22-2-20000002-22-200000000002i−2i2i−2i0000000000000000002-22i−2i002i−2i2i−2i0000000000000000000000002-22i−2i0000
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χ472-22-222200-222-2-22-2-2-2222-22-22-2-22-2-20000002-22-20000000000−2i2i−2i2i0000000000000000002-2−2i2i00−2i2i−2i2i0000000000000000000000002-2−2i2i0000
χ482-22-222200-222-2-22-2-2-2222-22-22-2-22-2-20000002-22-20000000000−2i2i−2i2i000000000000000000-222i−2i00−2i2i−2i2i000000000000000000000000-222i−2i0000
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χ502-2-222222-2-2-2-2-2-2-2222222-2-2-2-222-2-222-22-22-22-2-222-22-22-222-2-2-222-200000000000000-2200000000-222-200000000000000000000-220000000000
χ512-2-22222-22-2-2-2-2-2-2222222-2-2-2-222-2-22-22-22-222-2-22-22-22-22-2-2222-2-2200000000000000-22000000002-2-2200000000000000000000-220000000000
χ522-2-22222-22-2-2-2-2-2-2222222-2-2-2-222-2-22-22-22-222-2-22-22-22-22-2-222-222-2000000000000002-200000000-222-2000000000000000000002-20000000000
χ532-2-2222-12-2-2-2-2-211-1222-1-1-2-211-1-1112-112-22-2-111-1-11-112-2-1-1112-2-220000003−33−33−33−32-200000000-111-1000000003−33−33−33−30000-110000000000
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χ6144444-2-2444-24-2-2-2-24-2-2-21-2-2-21-21-21-2-2-244-2-21111-2-211-2-2111100000044000000-2-2-2-20000000000000000-2-20000000011110000000000000000
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χ924-4-44-244-442-42-4-4-44-24-2-24222-4-242-4-2-442-2-44-222-22-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000000
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χ954-4-44-24-2-442-42-422-2-24-21-222-121-2-12-22-22-2-441-1-11-112-22-2-1-111000000000023−23−232300000000000000000000000000−333−300000000000000000000
χ964-4-44-24-2-442-42-422-2-24-21-222-121-2-12-22-22-2-441-1-11-112-22-2-1-1110000000000−232323−23000000000000000000000000003−3−3300000000000000000000
χ974-4-44-2-244-42222-4-44-2-21-2-2-1-122-2-22214-4-22-221-1-11-22-221-111-1-10000000000000000000000000000000000000000000000003-33-3000000000000
χ984-4-44-2-244-42222-4-44-2-21-2-2-1-122-2-22214-4-22-221-1-11-22-221-111-1-1000000000000000000000000000000000000000000000000-33-33000000000000
χ994-4-44-2-24-442222-4-44-2-21-2-2-1-122-2-2221-442-22-21-1-112-22-2-11-1-1110000000000000000000000000000000000000000000000003-3-33000000000000
χ1004-4-44-2-24-442222-4-44-2-21-2-2-1-122-2-2221-442-22-21-1-112-22-2-11-1-111000000000000000000000000000000000000000000000000-333-3000000000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-40084-8-4-444-84-4-42-44-4-24-242400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-400-4-848-4444-8-42-4-4424-24-2-4400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4800-444-48-8-8442-4-42-2-44444-4-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-444-4-444442222-22-2-2-2-22-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-444-4-444442222-22-2-2-2-22-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-400-8-4844-44-84-4-424-4424-2-4-240000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-40048-4-84-444-8-42-44-4-2-4-242440000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-48004-4-44-88-8442-4-4-224-444-44-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-4-444-4444222-22-22-2-22-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004-4-444-4444222-22-22-2-22-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48-8444444-4-4-4222-2-2-2-222-2-22-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-88444444-4-4-4222-2-2-2-222-2-224-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000

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