Finite Group Databasebeta

← Group #13168076

Character table — Group #13168076

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212122222226666366612121212121212124446666666666666612121212121212121212121244121212126666121212121212222446666664412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-11-111-1-11-1-11-1-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1111-11-111111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1111111-1-1111111111111-1-11-111-1-1-11-1-11-1-1-1-111-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-11-1-111-1111-111-1-111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1111-111-1-111-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-111-11-1-111-11-1-11-1-1-1-11111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111-111-1-11-11-111111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-1-1111111111111-1-111-11-1-1111-1-11-1-1-111-1-1-1-11-11
χ17222222-122222-1-1-12222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1200222222-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1000000-1-1-1-10000002200000-1-1-1-100000
χ18222222-122222-1-1-12222-1-122-1-1-1-1-1-12-1-12222-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-22222-1-1-1-1111111-2-200001111000000-1-1-1-1000000-2-200000111100000
χ19222222-122222-1-1-12222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-120022-2-2-2-21111-1-1-1-1-1-1220000-1-1-1-10000001111000000-2-200000111100000
χ20222222-122222-1-1-12222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-2-2-2-2-21111111111-2-20000111100000011110000002200000-1-1-1-100000
χ21222222-1-2-2222-1-1-12222-1-122-1-1-1-1-1-1211-2-2-2-2111122-2-222-1-1-1-1-1-1-1-111-2-21111-2002222-2-2-1-111-1-1-1-111-2-200001111000000-1-1110000002-200000-1-11100000
χ22222222-1-2-2222-1-1-12222-1-122-1-1-1-1-1-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-21111200-2-222-2-2-1-1111111-1-1220000-1-1-1-1000000-1-111000000-220000011-1-100000
χ23222222-1-2-2222-1-1-12222-1-122-1-1-1-1-1-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-21111-20022-2-22211-1-1-1-1-1-111-2-20000111100000011-1-1000000-220000011-1-100000
χ24222222-1-2-2222-1-1-12222-1-122-1-1-1-1-1-1211-2-2-2-21111-2-222-2-21111-1-1-1-111-2-21111200-2-2-2-22211-1-11111-1-1220000-1-1-1-100000011-1-10000002-200000-1-11100000
χ2522222-12222-1-12222-12-12-1-1-122-1-1-12-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-102200-1-1-1-1222200000000-1-1-1-1000022-1-1-1-1-1-1-1-122-1-1-1-100200-1-1000000000
χ2622222-12222-1-12222-12-12-1-1-122-1-1-12-12222-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-200-1-1-1-122220000000011110000-2-21111-1-1-1-1-2-2111100-20011000000000
χ2722222-12222-1-12222-12-12-1-1-122-1-1-12-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1022001111-2-2-2-200000000-1-1-1-10000-2-21111111122-1-1-1-100-20011000000000
χ2822222-12222-1-12222-12-12-1-1-122-1-1-12-12222-1-12222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2001111-2-2-2-2000000001111000022-1-1-1-11111-2-2111100200-1-1000000000
χ2922222-12-2-22-1-12222-12-12-1-1-122-1-1-12-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-11111111102-200-1-11122-2-200000000-1-111000022-1-1-1-1-1-1112-2-1-11100-20011000000000
χ3022222-12-2-22-1-12222-12-12-1-1-122-1-1-12-1-2-2-2-211-2-2-2-222-2-2000000-1-1-1-1111111110-2200-1-11122-2-20000000011-1-10000-2-21111-1-111-2211-1-100200-1-1000000000
χ3122222-12-2-22-1-12222-12-12-1-1-122-1-1-12-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-11111111102-20011-1-1-2-22200000000-1-1110000-2-2111111-1-12-2-1-11100200-1-1000000000
χ3222222-12-2-22-1-12222-12-12-1-1-122-1-1-12-1-2-2-2-211-2-2-2-2-2-222000000-1-1-1-1111111110-220011-1-1-2-2220000000011-1-1000022-1-1-1-111-1-1-2211-1-100-20011000000000
χ332222-12222-122222-12-1-1-12-1-1-1-1222-1-122-1-122-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1222-1-100000000-1-1-1-122-1-12222-1-1-1-10000000000-1-1-1-1-1-10002200000000-1-10
χ342222-12222-122222-12-1-1-12-1-1-1-1222-1-122-1-122-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12-2-2-1-100000000-1-1-1-122-1-1-2-2-2-2-1-1-1-10000000000111111000-2-200000000110
χ352222-12222-122222-12-1-1-12-1-1-1-1222-1-122-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-22211000000001111-2-211222211110000000000-1-1-1-1-1-1000-2-200000000110
χ362222-12222-122222-12-1-1-12-1-1-1-1222-1-122-1-122-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-211000000001111-2-211-2-2-2-2111100000000001111110002200000000-1-10
χ372222-122-2-2-122222-12-1-1-12-1-1-1-1222-1-1-2-211-2-211110000222222-1-1-1-1-2-2111111-22-2-1-100000000-1-1-1-1-2-21122-2-211110000000000-11-1-1110002-200000000-110
χ382222-122-2-2-122222-12-1-1-12-1-1-1-1222-1-1-2-211-2-211110000222222-1-1-1-1-2-2111111-2-22-1-100000000-1-1-1-1-2-211-2-222111100000000001-111-1-1000-22000000001-10
χ392222-122-2-2-122222-12-1-1-12-1-1-1-1222-1-1-2-211-2-211110000-2-2-2-2-2-2-1-1-1-1-2-211111122-21100000000111122-1-122-2-2-1-1-1-10000000000-11-1-111000-22000000001-10
χ402222-122-2-2-122222-12-1-1-12-1-1-1-1222-1-1-2-211-2-211110000-2-2-2-2-2-2-1-1-1-1-2-21111112-221100000000111122-1-1-2-222-1-1-1-100000000001-111-1-10002-200000000-110
χ4122-2-22222-2-2-2-2-2-2222-2222-2-2-2-2-2-22222-22-22-222-2-22-22-20000002-2-222-22-222-2-2000002-22-22-22-200000000000000000000002-22-20000000000000000000000
χ4222-2-22222-2-2-2-2-2-2222-2222-2-2-2-2-2-22222-22-22-222-2-2-22-220000002-2-222-22-222-2-200000-22-22-22-220000000000000000000000-22-220000000000000000000000
χ4322-2-2222-22-2-2-2-2-2222-2222-2-2-2-2-2-2222-22-22-22-2-2222-2-220000002-2-22-22-22-2-222000002-2-222-2-2200000000000000000000002-2-220000000000000000000000
χ4422-2-2222-22-2-2-2-2-2222-2222-2-2-2-2-2-2222-22-22-22-2-222-222-20000002-2-22-22-22-2-22200000-222-2-222-20000000000000000000000-222-20000000000000000000000
χ4522-2-222-12-2-2-2-211-122-22-1-1-2-21111-1-12-112-22-2-1-1112-22-200−i3−i3i3i3-111-1-112-2-1-111000002-22-2-11-11−i3−i3i3i3−i3i3000000−i3−i3i3i3000000-11-110000000000000−i3i3−i3i300000
χ4622-2-222-12-2-2-2-211-122-22-1-1-2-21111-1-12-112-22-2-1-1112-22-200i3i3−i3−i3-111-1-112-2-1-111000002-22-2-11-11i3i3−i3−i3i3−i3000000i3i3−i3−i3000000-11-110000000000000i3−i3i3−i300000
χ4722-2-222-12-2-2-2-211-122-22-1-1-2-21111-1-12-112-22-2-1-111-22-2200−i3−i3i3i3-111-1-112-2-1-11100000-22-221-11-1−i3−i3i3i3−i3i3000000−i3−i3i3i30000001-11-10000000000000i3−i3i3−i300000
χ4822-2-222-12-2-2-2-211-122-22-1-1-2-21111-1-12-112-22-2-1-111-22-2200i3i3−i3−i3-111-1-112-2-1-11100000-22-221-11-1i3i3−i3−i3i3−i3000000i3i3−i3−i30000001-11-10000000000000−i3i3−i3i300000
χ4922-2-222-1-22-2-2-211-122-22-1-1-2-21111-1-121-1-22-2211-1-12-2-2200−i3−i3i3i3-111-11-1-2211-1-1000002-2-22-111-1−i3−i3i3i3i3−i3000000i3i3−i3−i3000000-111-10000000000000−i3i3i3−i300000
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χ5122-2-222-1-22-2-2-211-122-22-1-1-2-21111-1-121-1-22-2211-1-1-222-200−i3−i3i3i3-111-11-1-2211-1-100000-222-21-1-11−i3−i3i3i3i3−i3000000i3i3−i3−i30000001-1-110000000000000i3−i3−i3i300000
χ5222-2-222-1-22-2-2-211-122-22-1-1-2-21111-1-121-1-22-2211-1-1-222-200i3i3−i3−i3-111-11-1-2211-1-100000-222-21-1-11i3i3−i3−i3−i3i3000000−i3−i3i3i30000001-1-110000000000000−i3i3i3−i300000
χ5322-2-22-122-2-211-2-222-1-2-12-111-2-211-12-12-22-2-1122-2-22-22-2000000-111-1-11-11-1-11100000-11-112-22-200000000−i3i3−i3i3000000−i3−i3i3i3-11-1100−i3i3−i3i300000−i3i3000000000
χ5422-2-22-122-2-211-2-222-1-2-12-111-2-211-12-12-22-2-1122-2-22-22-2000000-111-1-11-11-1-11100000-11-112-22-200000000i3−i3i3−i3000000i3i3−i3−i3-11-1100i3−i3i3−i300000i3−i3000000000
χ5522-2-22-122-2-211-2-222-1-2-12-111-2-211-12-12-22-2-1122-2-2-22-22000000-111-1-11-11-1-111000001-11-1-22-2200000000−i3i3−i3i3000000i3i3−i3−i31-11-100−i3i3−i3i300000i3−i3000000000
χ5622-2-22-122-2-211-2-222-1-2-12-111-2-211-12-12-22-2-1122-2-2-22-22000000-111-1-11-11-1-111000001-11-1-22-2200000000i3−i3i3−i3000000−i3−i3i3i31-11-100i3−i3i3−i300000−i3i3000000000
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χ6844444-2-2-4-44-2-2-2-2-24-24-2-21-2-2-2-2111-2-222-4-4222222-4-4440000001111-1-122-1-1-1-10000022-2-222-2-20000000000000000000000-1-1110000000000000000000000
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χ754444-2-24-4-4-2-2-2444-2-2-21-2-211-2-2-2-2-2-21-4-4222222220000000000111122-1-1-1-1-1-104-4000000000000000000-2-22200000000000000-2211-1-10000000000000000
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χ7744-4-44-2-24-4-42222-24-2-4-2-212222-1-11-2-2-224-4-22-2-2224-44-40000001-1-111-1-2211-1-100000-22-22-22-2200000000000000000000001-11-10000000000000000000000
χ7844-4-44-2-24-4-42222-24-2-4-2-212222-1-11-2-2-224-4-22-2-222-44-440000001-1-111-1-2211-1-1000002-22-22-22-20000000000000000000000-11-110000000000000000000000
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χ1064-4-44-244002-44-44-42-4-2-2-242-22-2-44-42200000000000000000000-22-2200000000000000000000000000023−23000023−23−232300000000000000000000000000000000
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χ1084-4-44-24-2002-442-222-4-2-21-22-2-112-22-120000003i−3i−3i3i000000−2i32i32i3−2i31-11-100003i−3i−3i3i0000000000000i3−i3−i3i300−232300003−3−3300000000000000000000000000000000
χ1094-4-44-24-2002-442-222-4-2-21-22-2-112-22-120000003i−3i−3i3i0000002i3−2i3−2i32i31-11-100003i−3i−3i3i0000000000000−i3i3i3−i30023−230000−333−300000000000000000000000000000000
χ1104-4-44-24-2002-442-222-4-2-21-22-2-112-22-12000000−3i3i3i−3i000000−2i32i32i3−2i31-11-10000−3i3i3i−3i0000000000000i3−i3−i3i30023−230000−333−300000000000000000000000000000000
χ1114-4-44-24-2002-442-222-4-2-21-22-2-112-22-12000000−3i3i3i−3i0000002i3−2i3−2i32i31-11-10000−3i3i3i−3i0000000000000−i3i3i3−i300−232300003−3−3300000000000000000000000000000000
χ1128888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000000000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-48-844444-4-4-44222-2-2-2-2-2-2222-44-44-4422-2-20000000000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-4-8844444-4-4-44222-2-2-2-2-2-22224-44-44-4-2-2220000000000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000000
χ1168-88-88-4-4008-44-444-84-8-4-42-44-442-2-2440000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4800-4-448-8-84442-4-42-2-44-4444-20000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-400-4-44-4444442222-22-22-2-2-2-20000006i−6i6i−6i0000000000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
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χ1208-8-888-4-400-84-44-44-848-4-424-44-4-22-244000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-480044-4-88-844-42-4-4-224-44-444-2000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-40044-44-4444-4222-22-22-22-2-2-20000006i−6i−6i6i0000000000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).