Finite Group Databasebeta

← Group #13168735

Character table — Group #13168735

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order12223336666666663334666666666121222443666121212121212121212121212444466661212121212121212121212122244444412121212661212121212121212121212121212446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-111-1-111-1-11111111-11-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-111111-1-1-1-11111-11-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-1-1-1-1-1-1-1-11-1-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-11-1-1111111111-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-11-1-1-1-1111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-11-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-11-1-111-1-111-1-1-111111-1-11-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1111-111-1-111-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-11-111-1-111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-111-111111-1-11-1-11
χ17222222-122-1-122-1222-1-122-1-12-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1200222-1-1-1-122-1-1-1-1000022002200-1-1-1-1-1-12020-1-1-1-1-1-1000000-1-100000000
χ18222222-122-1-122-1222-1-122-1-12-1-1-1-12-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1200-222-1-1-1-1-2-211110000-2-200-2-2001111-1-1-2020-1-111110000001100000000
χ19222222-122-1-122-1222-1-122-1-12-1-1-1-12-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2002-2-2111122-1-1-1-10000-2-200-2-20011111120-2011-1-1-1-10000001100000000
χ20222222-122-1-122-1222-1-122-1-12-1-1-1-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-200-2-2-21111-2-21111000022002200-1-1-1-111-20-20111111000000-1-100000000
χ21222222-122-1-122-1222-1-1-22-1-12-1-1-1-12112222-1-1-1-1-2-2-2-211111111-200-222-1-11122-1-11100002200-2-2001111-1-1-20-2011-1-111000000-1-100000000
χ22222222-122-1-122-1222-1-1-22-1-12-1-1-1-121122-2-2-1-1-1-1-2-2-2-211111111-200222-1-111-2-211-1-10000-2-2002200-1-1-1-1-1-120-201111-1-10000001100000000
χ23222222-122-1-122-1222-1-1-22-1-12-1-1-1-1211-2-222-1-1-1-1-2-2-2-211111111200-2-2-211-1-122-1-1110000-2-2002200-1-1-1-111-2020-1-1-1-1110000001100000000
χ24222222-122-1-122-1222-1-1-22-1-12-1-1-1-1211-2-2-2-2-1-1-1-1-2-2-2-2111111112002-2-211-1-1-2-211-1-100002200-2-2001111112020-1-111-1-1000000-1-100000000
χ2522222-12-1222-1222-1-12-12-12-1-1-12-12-1222200-1-1-1-1-12-1-1-1-122-1-1-1-12220-1-1222200000022-1-1002200000000-1-102-1-1-1-10000-1-1-1-1020000-1-1-1000
χ2622222-12-1222-1222-1-12-12-12-1-1-12-12-1222200-1-1-1-1-12-1-1-1-122-1-1-1-12-2-20-1-12222000000-2-21100-2-200000000-1-10-2-11-1-1000011110-20000111000
χ2722222-12-1222-1222-1-12-12-12-1-1-12-12-122-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-222011-2-2-2-200000022-1-100-2-20000000011021-1110000-1-1-1-10-20000111000
χ2822222-12-1222-1222-1-12-12-12-1-1-12-12-122-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2011-2-2-2-2000000-2-211002200000000110-2111100001111020000-1-1-1000
χ2922222-12-1222-1222-1-12-1-2-12-1-1-12-12-1-2-22200-1-1-1-11-21111-2-21111-22-20-1-122-2-2000000221100-2-200000000-1-10-21-1110000-1-11102000011-1000
χ3022222-12-1222-1222-1-12-1-2-12-1-1-12-12-1-2-22200-1-1-1-11-21111-2-21111-2-220-1-122-2-2000000-2-2-1-1002200000000-1-1021111000011-1-10-20000-1-11000
χ3122222-12-1222-1222-1-12-1-2-12-1-1-12-12-1-2-2-2-200-1-1-1-11-21111-2-2111122-2011-2-2220000002211002200000000110-2-1-1-1-10000-1-1110-20000-1-11000
χ3222222-12-1222-1222-1-12-1-2-12-1-1-12-12-1-2-2-2-200-1-1-1-11-21111-2-211112-22011-2-222000000-2-2-1-100-2-2000000001102-11-1-1000011-1-102000011-1000
χ332222-1222-1222-12-12-1-122-1-12-12-12-1-1220022-1-1-1-12-1-1-122-1-1-1-1-1-10222000000-1-12222-1-12200000022000000-1-10200-1-1-1-1-1-1-1-12000-1-1000-100
χ342222-1222-1222-12-12-1-122-1-12-12-12-1-1220022-1-1-1-12-1-1-122-1-1-1-1-1-10-2-22000000-1-1222211-2-2000000-2-2000000-110-200-1-1-1-11111-200011000100
χ352222-1222-1222-12-12-1-122-1-12-12-12-1-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1022-200000011-2-2-2-2-1-122000000-2-20000001-102001111-1-1-1-1-200011000100
χ362222-1222-1222-12-12-1-122-1-12-12-12-1-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10-2-2-200000011-2-2-2-211-2-200000022000000110-200111111112000-1-1000-100
χ372222-1222-1222-12-12-1-12-2-1-12-12-12-1-1-2-20022-1-1-1-1-2111-2-211111102-2-2000000-1-122-2-2-1-1-2-200000022000000110200-1-111-1-111-2000-1-1000100
χ382222-1222-1222-12-12-1-12-2-1-12-12-12-1-1-2-20022-1-1-1-1-2111-2-21111110-22-2000000-1-122-2-21122000000-2-20000001-10-200-1-11111-1-1200011000-100
χ392222-1222-1222-12-12-1-12-2-1-12-12-12-1-1-2-200-2-2-1-1-1-1-2111-2-211111102-2200000011-2-222-1-1-2-2000000-2-2000000-11020011-1-1-1-111200011000-100
χ402222-1222-1222-12-12-1-12-2-1-12-12-12-1-1-2-200-2-2-1-1-1-1-2111-2-21111110-22200000011-2-222112200000022000000-1-10-20011-1-111-1-1-2000-1-1000100
χ4122-2-2222222-2-2-2-2-2-222202-22-2-22-2-2-2002-22-222-2-200000000000000002-22-2002-22-20000002-200000000002-20000002-2000000002-200000000
χ4222-2-2222222-2-2-2-2-2-222202-22-2-22-2-2-2002-2-2222-2-200000000000000002-22-200-22-22000000-2200000000002-2000000-2200000000-2200000000
χ4322-2-2222222-2-2-2-2-2-222202-22-2-22-2-2-200-222-222-2-20000000000000000-22-22002-22-2000000-220000000000-220000002-200000000-2200000000
χ4422-2-2222222-2-2-2-2-2-222202-22-2-22-2-2-200-22-2222-2-20000000000000000-22-2200-22-220000002-20000000000-22000000-22000000002-200000000
χ4522-2-222-122-11-2-21-2-22-1-1021-1-21-111-23−32-22-2-1-11100003−33−333−3−300002-2-113−32-2-113−300002-200000033−3−3-1100003−3-113−3000000-1100000000
χ4622-2-222-122-11-2-21-2-22-1-1021-1-21-111-23−32-2-22-1-11100003−33−333−3−300002-2-113−3-221-1−330000-22000000−3−333-1100003−31-1−330000001-100000000
χ4722-2-222-122-11-2-21-2-22-1-1021-1-21-111-23−3-222-2-1-11100003−33−333−3−30000-221-1−332-2-113−30000-22000000−3−3331-10000−33-113−30000001-100000000
χ4822-2-222-122-11-2-21-2-22-1-1021-1-21-111-23−3-22-22-1-11100003−33−333−3−30000-221-1−33-221-1−3300002-200000033−3−31-10000−331-1−33000000-1100000000
χ4922-2-222-122-11-2-21-2-22-1-1021-1-21-111-2−332-22-2-1-1110000−33−33−3−33300002-2-11−332-2-11−3300002-2000000−3−333-110000−33-11−33000000-1100000000
χ5022-2-222-122-11-2-21-2-22-1-1021-1-21-111-2−332-2-22-1-1110000−33−33−3−33300002-2-11−33-221-13−30000-2200000033−3−3-110000−331-13−30000001-100000000
χ5122-2-222-122-11-2-21-2-22-1-1021-1-21-111-2−33-222-2-1-1110000−33−33−3−3330000-221-13−32-2-11−330000-2200000033−3−31-100003−3-11−330000001-100000000
χ5222-2-222-122-11-2-21-2-22-1-1021-1-21-111-2−33-22-22-1-1110000−33−33−3−3330000-221-13−3-221-13−300002-2000000−3−3331-100003−31-13−3000000-1100000000
χ532-22-2222-2-2-22-2-2-2222220-22-2-2-2-22-220000002-22-200000000000000000000000000000000002-22i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2-20000
χ542-22-2222-2-2-22-2-2-2222220-22-2-2-2-22-220000002-22-200000000000000000000000000000000002-2−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i2-20000
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χ954-4-44-2-2422-4-4-2-24221-2-20-1221-222-2-10000001-1-11003-300003-33-30000000000000000−2323−23230000000000000000000000003−33−3000000000000
χ964-4-44-2-2422-4-4-2-24221-2-20-1221-222-2-10000001-1-1100-330000-33-33000000000000000023−23−2323000000000000000000000000−333−3000000000000
χ974-4-44-2-2422-4-4-2-24221-2-20-1221-222-2-10000001-1-1100-330000-33-330000000000000000−232323−230000000000000000000000003−3−33000000000000
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
χ10088-8-8-4-48-4-48-844-8442-4-4024-4-24-444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-4-444444422202-22-2-22-2-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-4-444444422202-22-2-22-2-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-44-84-44-848-4-4-4204-4-24-2424-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-4-844-4-844-48-42-4042444-2-4-2-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4844-8844-8-4-42-4-40-2-44-244-4420000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-4444-4-42220-22-2-2-2-22-22000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4444-4444-4-42220-22-2-2-2-22-22000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-44-844-48-4-84-4-42044-2-424-2-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-4-84448-4-44-8-42-404-24-4-4-24240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44444-4-4-4442220-2-2-222-2-22-2000000-111-1006-60000-33-33000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44444-4-4-4442220-2-2-222-2-22-2000000-111-100-6600003-33-3000000000000000000000000000000000000000000000000000000000000

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