Finite Group Databasebeta

← Group #13172279

Character table — Group #13172279

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666662333666666666666666664444121212123666666666666444412121212121212121212121212121212121212121212441212121212121212121212124444412121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-111-1-1111111111111111111111-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11-1-1-11-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-11111111111111111111-11111111-1-1-1-1-1-1111111111111-1-1-1111-1-1-1-111111-1-1-11-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-1-11-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11111-11-1-1-11111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-11-1-1-1-1111111-1-111-1-11111-1-1-1-111-11-1-111-1-111-1-11-1-11-111-1-111-11-1-11
χ101111111111111111-1111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1111-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-1111-1-1-1-11-111-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-111111111-1-1-1-111-1-1-1-11111-1-1-11-1-111-1-111-1-1-11-111-1-11111-1-111-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-111-1-11
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1-111-1-111-11-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-111-1-111-1-111-11-111-1-11111-1-11-11
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1111-1-1-1-11-11-11
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-11111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1111-1-11-111-1-111-11-11-1
χ17222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-1220200-1-122-1-12200000000000000-12-12-1-1-1-1-1-1-1-1002200000-1-1-10000
χ18222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-12-20-2001122-1-12200000000000000-1-21-2-1-1-1-1111100-2-2000001110000
χ19222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-220200-1-1-2-211-2-20000000000000012-121111-1-1-1-100-2-2000001110000
χ20222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-20011-2-211-2-2000000000000001-21-211111111002200000-1-1-10000
χ21222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1222000000-111111-1-1-11111-220-200-1-122-1-1-2-200000000000000121-2-1-111-1-11100-2200000-1-110000
χ22222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1222000000-111111-1-1-11111-2-202001122-1-1-2-2000000000000001-2-12-1-11111-1-1002-20000011-10000
χ23222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-12-2-2000000-111111-1-1-11111220-200-1-1-2-2112200000000000000-121-211-1-1-1-111002-20000011-10000
χ24222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-12-2-2000000-111111-1-1-111112-2020011-2-2112200000000000000-1-2-1211-1-111-1-100-2200000-1-110000
χ2522222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12020-1-100-1-122-1-12222-1-1-1-1-1-1-1-1222000-1-1-1-1000002000-1-1-1-10000000
χ2622222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-122-2-21111-1222-1-1-1-1-1-1-1-1-120-201100-1-122-1-1-2-2-2-211111111-2-22000-1-1-1-100000-200011110000000
χ2722222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2020-1-10011-2-2112222-1-1-1-1-1-1-1-1-2-2-2000111100000-200011110000000
χ2822222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-20-20110011-2-211-2-2-2-21111111122-20001111000002000-1-1-1-10000000
χ2922222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-12222-1-1-1-1-1-2-2-211-1-1-11111-20-201100-1-1221122-2-2-1-1-1-1111122-2000-1-11100000-2000-1-1110000000
χ3022222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-122-2-21111-1-2-2-211-1-1-11111-2020-1-100-1-12211-2-2221111-1-1-1-1-2-2-2000-1-11100000200011-1-10000000
χ3122222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-1-2-222-1-1-1-1-1-2-2-211-1-1-1111120-20110011-2-2-1-122-2-2-1-1-1-11111-2-2200011-1-100000200011-1-10000000
χ3222222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-1-2-2-2-21111-1-2-2-211-1-1-111112020-1-10011-2-2-1-1-2-2221111-1-1-1-122200011-1-100000-2000-1-1110000000
χ332222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100222222-12-1-122-1-1-1-1-1-1-102222222000000-1-1-1-1-1-1-1-1-1-1-1-1000-12-10000-1-1-1-1200020000000-1-100
χ342222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100222222-12-1-122-1-1-1-1-1-1-10-22-222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-10001-2100001111-2000-200000001100
χ352222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-102-22-2-222000000111111111111000-12-10000-1-1-1-1-2000-200000001100
χ362222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-2-2-2-2-2-20000001111111111110001-2100001111200020000000-1-100
χ372222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-100222222-1-211-2-2-1-1-1111102-2-2-2-222000000-1-111-1-1-1-11111000-1-210000-1-1112000-20000000-1100
χ382222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-100222222-1-211-2-2-1-1-111110-2-22-2-2-2-2000000-1-111-1-1-1-1111100012-1000011-1-1-2000200000001-100
χ392222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-100-2-2-2-2-2-2-1-211-2-2-1-1-11111022-2222200000011-1-11111-1-1-1-1000-1-210000-1-111-2000200000001-100
χ402222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-100-2-2-2-2-2-2-1-211-2-2-1-1-111110-22222-2-200000011-1-11111-1-1-1-100012-1000011-1-12000-20000000-1100
χ412-2-22222-22-2-2-2-22-2202220000-2-2-2200002-2-2-222i−2i2-222-2-22000002-2-20000000000002i−2i2i−2i002-20022-2-200002i−2i00002i−2i000000000002i−2i000000000
χ422-2-22222-22-2-2-2-22-2202220000-2-2-2200002-2-2-222i−2i-22-2-2222000002-2-20000000000002i−2i2i−2i00-2200-2-2220000−2i2i00002i−2i00000000000−2i2i000000000
χ432-2-22222-22-2-2-2-22-2202220000-2-2-2200002-2-2-22−2i2i2-222-2-22000002-2-2000000000000−2i2i−2i2i002-20022-2-20000−2i2i0000−2i2i00000000000−2i2i000000000
χ442-2-22222-22-2-2-2-22-2202220000-2-2-2200002-2-2-22−2i2i-22-2-2222000002-2-2000000000000−2i2i−2i2i00-2200-2-22200002i−2i0000−2i2i000000000002i−2i000000000
χ452-2-222-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-12i−2i2-2-1-111-1000−i3i3-111−i3−i3i3i30000−i3i300−ii2i−2i3−32-200-1-111−i3−i3i3i32i−2i0000−ii3−3000000000−ii3−30000000
χ462-2-222-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-12i−2i-2211-1-1-1000−i3i3-111−i3−i3i3i30000i3−i300−ii2i−2i3−3-220011-1-1i3i3−i3−i3−2i2i0000−ii3−3000000000i−i−330000000
χ472-2-222-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-1−2i2i2-2-1-111-1000−i3i3-111−i3−i3i3i30000−i3i300i−i−2i2i−332-200-1-111−i3−i3i3i3−2i2i0000i−i−33000000000i−i−330000000
χ482-2-222-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-1−2i2i-2211-1-1-1000−i3i3-111−i3−i3i3i30000i3−i300i−i−2i2i−33-220011-1-1i3i3−i3−i32i−2i0000i−i−33000000000−ii3−30000000
χ492-2-222-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-12i−2i2-2-1-111-1000i3−i3-111i3i3−i3−i30000i3−i300−ii2i−2i−332-200-1-111i3i3−i3−i32i−2i0000−ii−33000000000−ii−330000000
χ502-2-222-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-12i−2i-2211-1-1-1000i3−i3-111i3i3−i3−i30000−i3i300−ii2i−2i−33-220011-1-1−i3−i3i3i3−2i2i0000−ii−33000000000i−i3−30000000
χ512-2-222-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-1−2i2i2-2-1-111-1000i3−i3-111i3i3−i3−i30000i3−i300i−i−2i2i3−32-200-1-111i3i3−i3−i3−2i2i0000i−i3−3000000000i−i3−30000000
χ522-2-222-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-1−2i2i-2211-1-1-1000i3−i3-111i3i3−i3−i30000−i3i300i−i−2i2i3−3-220011-1-1−i3−i3i3i32i−2i0000i−i3−3000000000−ii−330000000
χ5344444-2-24-2-24-2-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-2440000001-2-2-211111111140000000-2-2-2-2-2-200000000000000-2000111100000000000000000000
χ5444444-2-24-2-24-2-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-2-4-40000001-2-2-2111111111-40000000222222000000000000002000-1-1-1-100000000000000000000
χ5544444-2-24-2-24-2-2-2-24-4-2-21-4-422-2-2-212222-2-211-2440000001222-1-1111-1-1-1-1-40000000-2-2-2-22200000000000000200011-1-100000000000000000000
χ5644444-2-24-2-24-2-2-2-24-4-2-21-4-422-2-2-212222-2-211-2-4-40000001222-1-1111-1-1-1-1400000002222-2-200000000000000-2000-1-11100000000000000000000
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χ7344-4-4-2-24224-2-22-4-4201-2-200001-1223-33-32-2-22-10000−2323−2323100000-11-13-33-30000000000000000−23233−33−33−33−3000000000000000000000000000000
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χ814-44-4-244-2-4-42-44-4420-2-24−2i32i3002-2-2-4−2i32i32i3−2i322-44200000000-20−2i32i30022-2−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
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χ834-44-4-24-2-2-422-442-220-21-2−2i32i3002-212−2i32i32i3−2i3-1-12-220000000010i3−i300-1-11i3−i3−i3i300000023−230000000000000000000000000000−333i−3i0000000000000000
χ844-44-4-24-2-2-422-442-220-21-2−2i32i3002-212−2i32i32i3−2i3-1-12-220000000010i3−i300-1-11i3−i3−i3i3000000−232300000000000000000000000000003−3−3i3i0000000000000000
χ854-44-4-24-2-2-422-442-220-21-22i3−2i3002-2122i3−2i3−2i32i3-1-12-220000000010−i3i300-1-11−i3i3i3−i300000023−230000000000000000000000000000−33−3i3i0000000000000000
χ864-44-4-24-2-2-422-442-220-21-22i3−2i3002-2122i3−2i3−2i32i3-1-12-220000000010−i3i300-1-11−i3i3i3−i3000000−232300000000000000000000000000003−33i−3i0000000000000000
χ874-44-4-2-24-22-422-2-44201-2-2−2i32i300-11-22i3−i3−i3i3222-2-1000023−23−232310−2i32i300-1-11i3−i3−i3i3000000000000000000−333−33i−3i−3i3i000000000000000000000000000000
χ884-44-4-2-24-22-422-2-44201-2-2−2i32i300-11-22i3−i3−i3i3222-2-10000−232323−2310−2i32i300-1-11i3−i3−i3i30000000000000000003−3−33−3i3i3i−3i000000000000000000000000000000
χ894-44-4-2-24-22-422-2-44201-2-22i3−2i300-11-22−i3i3i3−i3222-2-1000023−23−2323102i3−2i300-1-11−i3i3i3−i3000000000000000000−333−3−3i3i3i−3i000000000000000000000000000000
χ904-44-4-2-24-22-422-2-44201-2-22i3−2i300-11-22−i3i3i3−i3222-2-10000−232323−23102i3−2i300-1-11−i3i3i3−i30000000000000000003−3−333i−3i−3i3i000000000000000000000000000000
χ914-4-4444-2-442-4-4-4-22404-2-20000-4-42-20000-222244i−4i000000-200000-2220000000000004i−4i−2i2i00000000000000000000−2i2i0000000000000000000000
χ924-4-4444-2-442-4-4-4-22404-2-20000-4-42-20000-22224−4i4i000000-200000-222000000000000−4i4i2i−2i000000000000000000002i−2i0000000000000000000000
χ934-4-444-2-2-4-22-422-2240-2-2100−2i32i32221−2i3−2i32i32i3-22-1-1-24i−4i0000001000i3−i31-1-1i3i3−i3−i300000000−2i2i−2i2i23−23000000000000000000i−i−3300000000000000000000
χ944-4-444-2-2-4-22-422-2240-2-2100−2i32i32221−2i3−2i32i32i3-22-1-1-2−4i4i0000001000i3−i31-1-1i3i3−i3−i3000000002i−2i2i−2i−2323000000000000000000−ii3−300000000000000000000
χ954-4-444-2-2-4-22-422-2240-2-21002i3−2i322212i32i3−2i3−2i3-22-1-1-24i−4i0000001000−i3i31-1-1−i3−i3i3i300000000−2i2i−2i2i−2323000000000000000000i−i3−300000000000000000000
χ964-4-444-2-2-4-22-422-2240-2-21002i3−2i322212i32i3−2i3−2i3-22-1-1-2−4i4i0000001000−i3i31-1-1−i3−i3i3i3000000002i−2i2i−2i23−23000000000000000000−ii−3300000000000000000000
χ974-4-44-24424-42-4-44-4-20-2-24000022240000-22-4-4-2004-444-4-4-200000-222000000000000000000-2200-2-2220000000000000000000000000000000000
χ984-4-44-24424-42-4-44-4-20-2-24000022240000-22-4-4-200-44-4-444-200000-2220000000000000000002-20022-2-20000000000000000000000000000000000
χ994-4-44-2-242-2-42224-4-201-2-200−2i32i3-1-12-2i3i3−i3−i3-22221004-4-2-2221000−2i32i31-1-1i3i3−i3−i30000−2i32i300000000-220011-1-1i3i3−i3−i3000000000000000000000000000000
χ1004-4-44-2-242-2-42224-4-201-2-200−2i32i3-1-12-2i3i3−i3−i3-2222100-4422-2-21000−2i32i31-1-1i3i3−i3−i300002i3−2i3000000002-200-1-111−i3−i3i3i3000000000000000000000000000000
χ1014-4-44-2-242-2-42224-4-201-2-2002i3−2i3-1-12-2−i3−i3i3i3-22221004-4-2-22210002i3−2i31-1-1−i3−i3i3i300002i3−2i300000000-220011-1-1−i3−i3i3i3000000000000000000000000000000
χ1024-4-44-2-242-2-42224-4-201-2-2002i3−2i3-1-12-2−i3−i3i3i3-2222100-4422-2-210002i3−2i31-1-1−i3−i3i3i30000−2i32i3000000002-200-1-111i3i3−i3−i3000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-4222222222222200000000-1-42222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4-822244442222-2-2-2-22222200000000-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-4-84-48-4444-80-4-420000-444-200004-42-2400000000200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-44-8-4-48-84440-42-40000-44-240000-22-44400000000200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-444-4-4-44444022200002-2-2-26-66-6-222-2-200000000-1000001-11-33-3300000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-444-4-4-44444022200002-2-2-2-66-66-222-2-200000000-1000001-113-33-300000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-4844-84-44-4-80-4-4200004-4-4-2000044-22400000000200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-44444-44-440222−4i34i300-222-22i3−2i3−2i32i3-2-2-22-200000000-102i3−2i30011-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-44444-44-4402224i3−4i300-222-2−2i32i32i3−2i3-2-2-22-200000000-10−2i32i30011-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-44844-8-8-44-40-42-4000044-2-400002-244-4000000002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44-44444-44-4022200−4i34i3-2-2-222i32i3−2i3−2i32-2-2-2200000000-10002i3−2i3-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44-44444-44-40222004i3−4i3-2-2-22−2i3−2i32i32i32-2-2-2200000000-1000−2i32i3-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000

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