Finite Group Databasebeta

← Group #13170754

Character table — Group #13170754

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121244444436661212121212121212121212122222444121212121212121212121212121212122222666612121212121212121212121212121212444666612124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-1111111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111-1-111-1-111-1-1111111-1-1-1-1-1-11-11111-1-111-1-11111-11-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11-1-111-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-1-1-1-1111-1-111-1-1111111-1-11-1-111-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-11-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-11-1111-1-111-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-111-1-11111-1-1-11111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11-1-1-1-1-11111-1-111-1-111-1-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1-11111-1-1-1-1111-1111-1-11111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-11111-1-1-1-1-1-11
χ17222222-122-122-1-1222-1-122-1-12-1-1-1-12-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-12222220-1-1-1-1-1-1-1-1222200000000-1-1-1-12200-1-1-1-1-1-1-1-100002000000-1-100000
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χ23222222-122-122-1-1222-1-1-22-1-12-1-1-1-1211-2-22200-1-1-1-1-2-2-2-211111111-2-2-2-22-2011-1-1-1-111-2-2220000000011112-20011-1-1-1-11100002000000-1-100000
χ24222222-122-122-1-1222-1-1-22-1-12-1-1-1-1211-2-2-2-200-1-1-1-1-2-2-2-21111111122222201111-1-1-1-1-2-2-2-200000000-1-1-1-122001111-1-1-1-10000-20000001100000
χ2522222-122-122-1222-1-12-12-12-1-12-12-1-122002222-1-1-1-12-1-1-122-1-1-1-1-1-100000220022002200-1-122-1-1002200000-12-100-1-100-1-1-1-1-1-100200-1-100000-10
χ2622222-122-122-1222-1-12-12-12-1-12-12-1-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1000002-20022002200-1-1-2-21100-2-200000-1-2100-1-100-1-1111100-200110000010
χ2722222-122-122-1222-1-12-12-12-1-12-12-1-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-100000-2200-2-200-2-2001122-1-100-2-20000012-100110011-1-1-1-100-200110000010
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χ2922222-122-122-1222-1-12-1-2-12-1-12-12-1-1-2-2002222-1-1-1-1-2111-2-211111100000-2-2002200-2-200-1-122-1-10022000001-2100-1-10011-1-11100-200-1-10000010
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χ402222-122-122-1222-12-1-12-2-1-12-1-12-12-1-2-2-2-200-2-2-1-1-1-11-21111-2-211110000202-2-2002200110011-2-222000000-10-121100-1-10011-1-10-20-1-1000000100
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χ954-4-44-2442-4-42-44-4-24-2-24022-42-242-4-2004-40000-22-2200000000000000000004-4000000-22000000000000000000-22000000000000000000000000
χ964-4-44-2442-4-42-44-4-24-2-24022-42-242-4-200-440000-22-220000000000000000000-440000002-20000000000000000002-2000000000000000000000000
χ974-4-44-24-22-422-4-22-24-21-202-1221-2-12-223−234-400001-11-10000−3323−23−3−3330000000-220023−2300-220000000000000000001-100−3300000000000000000000
χ984-4-44-24-22-422-4-22-24-21-202-1221-2-12-223−23-4400001-11-10000−3323−23−3−33300000002-200−2323002-2000000000000000000-11003−300000000000000000000
χ994-4-44-24-22-422-4-22-24-21-202-1221-2-12-2−23234-400001-11-100003−3−232333−3−30000000-2200−232300-220000000000000000001-1003−300000000000000000000
χ1004-4-44-24-22-422-4-22-24-21-202-1221-2-12-2−2323-4400001-11-100003−3−232333−3−300000002-20023−23002-2000000000000000000-1100−3300000000000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-48-4-4-8444-84-4-420-4-4244-24-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-48-44-8444-8-42-40-42-44-24-2440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48-4-4844-8-8442-4-402-4-4-24444-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-1110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-11100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4-8448-44-4-84-4-42044-2-44-2-424000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-44-84-484-44-8-42-404-24-4-242-44000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-4-44-4442220-2-2-22-2-222-200000000-111-1006-60000-33-330000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4444-4-44-4442220-2-2-22-2-222-200000000-111-100-6600003-33-30000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-8448-8-4-42-4-40-244-2-4-4442000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-42220-2-2-2-222-2-2243−43000000-11-110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-42220-2-2-2-222-2-22−4343000000-11-11000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000

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