Finite Group Databasebeta

← Group #13170610

Character table — Group #13170610

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222222233444444444444444444444446666666666688888888888812121212121212121212121212121212121212121212121224242424242424242424242436363636363636363636363636367272108108
order12233344666661212443336666666661212121212121212121212224661212121212123666612121212121212226666666666688121212121224242424666666242424242424244488121212122424242461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-111-1-1-1-1-111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-1-11111-1-1-1-1-1-111
χ8111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1111-11-1-11111111111-1-1-1-1-1-1111-1-11-111-1-11111-1-1111111-1-11-1-1-111-1-111-1-11-1-11-111-1-111-1-11-1-111-1-111-1-11-111-1-1111-1-1-111-1-11-111-1-111-1-11-1-11
χ1011-1111-11-1-11111111111-1-1-1-1-1-1111-1-11-111-1-11111-1-1111111-1-11-1-1-111-1-111-1-11-1-11-111-1-111-1-1-11-111-1-1-1-1111-111-1-1-1-1-1111-11-11-1111-1-1-1-111-111-1
χ1111-1111-11-1-11111111111-1-1-1-1-1-1111-1-11-111-1-11111-1-1111111-1-11-1-1-111-1-111-1-1-11-11-1-1-11111-1-11-1-111-1-111-1-1-11-1-111111-1-1-1-1-1111-1-1-11111-1-1-111-1
χ1211-1111-11-1-11111111111-1-1-1-1-1-1111-1-11-111-1-11111-1-1111111-1-11-1-1-111-1-111-1-1-11-11-1-1-11111-1-1-11-111-1-1-1-111-11-1-111-1-1-11111-11-1-11-1-111-1-1111-1-11
χ1311-1111-11-1-111111-1-1111-1-1-1-1-1-1111-1-11-111-1-1111-111-1-1-1-1-1-1111-1-1-111-1-111-1-11-11-1111-1-1-1-1111-11-1-11111-1-11-111-1-1111-1-1-11-11-1-11-1-111-1-1111-11-1
χ1411-1111-11-1-111111-1-1111-1-1-1-1-1-1111-1-11-111-1-1111-111-1-1-1-1-1-1111-1-1-111-1-111-1-11-11-1111-1-1-1-111-111-1-111-1-1111-111-1-1-1-1-1111-1-1111-1-1-11111-1-1-11-11
χ1511-1111-11-1-111111-1-1111-1-1-1-1-1-1111-1-11-111-1-1111-111-1-1-1-1-1-1111-1-1-111-1-111-1-1-111-11-1-111-1-1111-11-1-11111-1-1-11-1-111111-1-1-1-11-11-1111-1-1-1-111-11-11
χ1611-1111-11-1-111111-1-1111-1-1-1-1-1-1111-1-11-111-1-1111-111-1-1-1-1-1-1111-1-1-111-1-111-1-1-111-11-1-111-1-111-111-1-111-1-111-11-1-111-1-1-111111-1-11-111-1-111-1-11-11-1
χ17222222-2-222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2-222222222222-2-2-2-2-2-2-200-2-2-20000-2-2-2-200222220000000000000000000000000000000000
χ18222222-2-222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-222-222-2-2-2-2-2-222222-2-2-2-2-2-2-2002220000222200-2-2-2-2-20000000000000000000000000000000000
χ1922222-122222-122200-12-12-122-1-1-1-122-1222222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1220002222000022000002222-1-1-1-1-1-1-1-1-1-1-1-120020000000000-1-100
χ2022222-122222-122200-12-12-122-1-1-1-122-1222222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-12200022220000-2-200000-2-2-2-2-1-1-1-1-1-1111111-200-200000000001100
χ2122222-122222-122200-12-12-122-1-1-1-122-1222222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2000-2-2-2-2000022000002222111111-1-1-1-1-1-1-200-200000000001100
χ2222222-122222-122200-12-12-122-1-1-1-122-1222222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2000-2-2-2-20000-2-200000-2-2-2-211111111111120020000000000-1-100
χ232222-1222-1-122-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-12222222222-1-1-1-1-12-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1002-1-1-1-1000022-1-1-1-1000000022000-1-1-1-100000000
χ242222-1222-1-122-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-12222222222-1-1-1-1-12-1-1-1-12-1-1-1-1-1-2-22-1-11111-1-1-1-1002-1-1-1-10000-2-211110000000-2-2000111100000000
χ252222-1222-1-122-122-2-22-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-2-2-2-2-2-2-21111-12-1-1-1-12-1-1-1-1-122-211-1-1-1-1111100-21111000022-1-1-1-10000000-2-2000111100000000
χ262222-1222-1-122-122-2-22-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-2-2-2-2-2-2-21111-12-1-1-1-12-1-1-1-1-1-2-2-2111111111100-211110000-2-21111000000022000-1-1-1-100000000
χ272222-12-2-2-1-122-1-2-2222-1-122-1-1-1-12-1-1-2-2111111-2-2-2-2-22-2-222-1-1-1-1-12-1-1-11-21111100-211−i3i3−i3i31111002-1-1-1-1000000−i3i3−i3i3000000000000−i3i3−i3i300000000
χ282222-12-2-2-1-122-1-2-2222-1-122-1-1-1-12-1-1-2-2111111-2-2-2-2-22-2-222-1-1-1-1-12-1-1-11-21111100-211i3−i3i3−i31111002-1-1-1-1000000i3−i3i3−i3000000000000i3−i3i3−i300000000
χ292222-12-2-2-1-122-1-2-2-2-22-1-122-1-1-1-12-1-1-2-2111111-2-2-222-222-2-21111-12-1-1-11-211111002-1-1−i3i3−i3i3-1-1-1-100-21111000000−i3i3−i3i3000000000000i3−i3i3−i300000000
χ302222-12-2-2-1-122-1-2-2-2-22-1-122-1-1-1-12-1-1-2-2111111-2-2-222-222-2-21111-12-1-1-11-211111002-1-1i3−i3i3−i3-1-1-1-100-21111000000i3−i3i3−i3000000000000−i3i3−i3i300000000
χ31222-1222222-122-1-122-1-12-12-1-122-12-1-1222-1-1-1-12-1-1222-1-1-1-12222-1-1-1-1-12-12-1-1-1-100-1220000-1-1-1-122-1-1-1-1-1-1-1-1-10000002-1-12-1-10000220000-1-1-1-10000
χ32222-1222222-122-1-122-1-12-12-1-122-12-1-1222-1-1-1-12-1-1222-1-1-1-12222-1-1-1-1-12-12-1-1-1-100-1220000-1-1-1-1-2-2-1-1-1-1-11111000000-211-2110000-2-2000011110000
χ33222-1222222-122-1-1-2-2-1-12-12-1-122-12-1-1222-1-1-1-12-1-1-2-2-21111-2-2-2-2-1-1-1-1-12-12-1-1-1-1001-2-2000011112211111-1-1-1-10000002-1-12-1-10000-2-2000011110000
χ34222-1222222-122-1-1-2-2-1-12-12-1-122-12-1-1222-1-1-1-12-1-1-2-2-21111-2-2-2-2-1-1-1-1-12-12-1-1-1-1001-2-200001111-2-2111111111000000-211-2110000220000-1-1-1-10000
χ35222-122-2-222-1221122-1-12-12-1-122-12-11-2-2-21111-211-2-2211-1-12222-1-1-1-1-1-21-21111001-2-20000111100-1-1-1-1-13−33−300000003−303−300000000003−33−30000
χ36222-122-2-222-1221122-1-12-12-1-122-12-11-2-2-21111-211-2-2211-1-12222-1-1-1-1-1-21-21111001-2-20000111100-1-1-1-1-1−33−330000000−330−330000000000−33−330000
χ37222-122-2-222-12211-2-2-1-12-12-1-122-12-11-2-2-21111-21122-2-1-111-2-2-2-2-1-1-1-1-1-21-2111100-1220000-1-1-1-100111113−33−300000003−303−30000000000−33−330000
χ38222-122-2-222-12211-2-2-1-12-12-1-122-12-11-2-2-21111-21122-2-1-111-2-2-2-2-1-1-1-1-1-21-2111100-1220000-1-1-1-10011111−33−330000000−330−3300000000003−33−30000
χ3922-22222-2-2-2222-2-222222-2-2-2-2-2-222222-22-2-222-2-2-2-22-2-2-22222-2-22-2-2-22-222-2-222002-220000-2-22200-222-2-20000000000000000000000000000000000
χ4022-22222-2-2-2222-2-2-2-2222-2-2-2-2-2-222222-22-2-222-2-2-22-2222-2-2-2-2222-2-2-22-222-2-22200-22-2000022-2-2002-2-2220000000000000000000000000000000000
χ4122-222-1-22-2-22-122200-12-1-21-2-211-1-12-212-222-2-2-1-1-100000000000-1111-1-111-1-1112-200022-2-200002-20000022-2-2-11-1-111-1-1-1111200-20000000000-1100
χ4222-222-1-22-2-22-122200-12-1-21-2-211-1-12-212-222-2-2-1-1-100000000000-1111-1-111-1-1112-200022-2-20000-2200000-2-222-11-1-111111-1-1-1-200200000000001-100
χ4322-222-1-22-2-22-122200-12-1-21-2-211-1-12-212-222-2-2-1-1-100000000000-1111-1-111-1-111-22000-2-22200002-20000022-2-21-111-1-1-1-1-1111-200200000000001-100
χ4422-222-1-22-2-22-122200-12-1-21-2-211-1-12-212-222-2-2-1-1-100000000000-1111-1-111-1-111-22000-2-2220000-2200000-2-2221-111-1-1111-1-1-1200-20000000000-1100
χ4522-22-122-21122-1-2-2222-1-1-2-211112-1-1221-111-1-1-2-2-2-22-2-2-222-1-111-1-211-112-111-1-10021-1−i3i3i3−i311-1-100-2-1-111000000−i3i3i3−i3000000000000−i3i3i3−i300000000
χ4622-22-122-21122-1-2-2222-1-1-2-211112-1-1221-111-1-1-2-2-2-22-2-2-222-1-111-1-211-112-111-1-10021-1i3−i3−i3i311-1-100-2-1-111000000i3−i3−i3i3000000000000i3−i3−i3i300000000
χ4722-22-122-21122-1-2-2-2-22-1-1-2-211112-1-1221-111-1-1-2-2-22-2222-2-211-1-1-1-211-112-111-1-100-2-11−i3i3i3−i3-1-11100211-1-1000000−i3i3i3−i3000000000000i3−i3−i3i300000000
χ4822-22-122-21122-1-2-2-2-22-1-1-2-211112-1-1221-111-1-1-2-2-22-2222-2-211-1-1-1-211-112-111-1-100-2-11i3−i3−i3i3-1-11100211-1-1000000i3−i3−i3i3000000000000−i3i3i3−i300000000
χ4922-22-12-221122-122222-1-1-2-211112-1-1-2-2-11-1-1112222-2-22222-1-111-1-211-1-1-21-1-1112-2-2-11-1-111-1-11100-2-1-11100002-2-1-11100000002-2000-1-11100000000
χ5022-22-12-221122-122222-1-1-2-211112-1-1-2-2-11-1-1112222-2-22222-1-111-1-211-1-1-21-1-111-22-2-1111-1-1-1-11100-2-1-1110000-2211-1-10000000-2200011-1-100000000
χ5122-22-12-221122-122-2-22-1-1-2-211112-1-1-2-2-11-1-111222-222-2-2-2-211-1-1-1-211-1-1-21-1-1112-221-1-1-11111-1-100211-1-100002-2-1-1110000000-2200011-1-100000000
χ5222-22-12-221122-122-2-22-1-1-2-211112-1-1-2-2-11-1-111222-222-2-2-2-211-1-1-1-211-1-1-21-1-111-2221-111-1-111-1-100211-1-10000-2211-1-100000002-2000-1-11100000000
χ5322-2-1222-2-2-2-1221122-1-121-211-2-2-12-1-12-2211-1-1-211-22-211-1-122-2-2-1111-1-2-1211-1-100-1-22000011-1-1001-1-1113−3−3300000003−30−3300000000003−3−330000
χ5422-2-1222-2-2-2-1221122-1-121-211-2-2-12-1-12-2211-1-1-211-22-211-1-122-2-2-1111-1-2-1211-1-100-1-22000011-1-1001-1-111−333−30000000−3303−30000000000−333−30000
χ5522-2-1222-2-2-2-12211-2-2-1-121-211-2-2-12-1-12-2211-1-1-2112-22-1-111-2-222-1111-1-2-1211-1-10012-20000-1-11100-111-1-13−3−3300000003−30−330000000000−333−30000
χ5622-2-1222-2-2-2-12211-2-2-1-121-211-2-2-12-1-12-2211-1-1-2112-22-1-111-2-222-1111-1-2-1211-1-10012-20000-1-11100-111-1-1−333−30000000−3303−300000000003−3−330000
χ5722-2-122-22-2-2-122-1-122-1-121-211-2-2-12-11-22-2-1-1112-1-12-2-2-1-1-1-122-2-2-1111-121-2-1-1110012-20000-1-1112-21-1-111-1-1110000002-1-1-21100002-20000-1-1110000
χ5822-2-122-22-2-2-122-1-122-1-121-211-2-2-12-11-22-2-1-1112-1-12-2-2-1-1-1-122-2-2-1111-121-2-1-1110012-20000-1-111-221-1-11111-1-1000000-2112-1-10000-22000011-1-10000
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χ6022-2-122-22-2-2-122-1-1-2-2-1-121-211-2-2-12-11-22-2-1-1112-1-1-2221111-2-222-1111-121-2-1-11100-1-22000011-1-1-22-111-1-111-1-1000000-2112-1-100002-20000-1-1110000
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χ68444-24-2-4-444-2-2422001-2-2-2-2-2-2-2-21-2-222-4-422222-1-100000000000111112-12-1-1-1-10000000000000000000023−2323−230000000−330−33000000000000000000
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χ70444-2-2444-2-2-24-2-2-244-21-2-2411-2-2-2-21-24-2-211114-2-2444-2-2-2-2-2-2-2-21-2111-2-2-2111100-2-2-20000111100-211110000000000000000000000000000000000
χ71444-2-2444-2-2-24-2-2-2-4-4-21-2-2411-2-2-2-21-24-2-211114-2-2-4-4-4222222221-2111-2-2-21111002220000-1-1-1-1002-1-1-1-10000000000000000000000000000000000
χ72444-2-24-4-4-2-2-24-22244-21-2-2411-2-2-2-212-422-1-1-1-1-422-4-4422-2-2-2-2-2-21-2111222-1-1-1-1002220000-1-1-1-100-211110000000000000000000000000000000000
χ73444-2-24-4-4-2-2-24-222-4-4-21-2-2411-2-2-2-212-422-1-1-1-1-42244-4-2-22222221-2111222-1-1-1-100-2-2-200001111002-1-1-1-10000000000000000000000000000000000
χ7444-444-24-4-4-44-24-4-400-24-2-42-4-422-2-244-2-44-4-44422200000000000-2222-22-2-222-2-2000000000000000000000000000000000000000000000000000000
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χ914-404-24002i3−2i3-4-42004i−4i4-2-2002i3−2i32i3−2i3-42200000000000000004i−4i−2i2i−2323-202i3−2i3200000000000000000000000−2i2i−23230000000000000000000000000000000000
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χ934-40-24400002-4-423−234i−4i-2-240000002-42000023−2300023−23000−2i32i3−2i2i4i−4i00-2000200023−2300000000000−2i32i300000−2i2i000000000000000000000000000000000000
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χ954-40-24400002-4-4−23234i−4i-2-240000002-420000−2323000−23230002i3−2i3−2i2i4i−4i00-20002000−2323000000000002i3−2i300000−2i2i000000000000000000000000000000000000
χ964-40-24400002-4-4−2323−4i4i-2-240000002-420000−2323000−2323000−2i32i32i−2i−4i4i00-20002000−232300000000000−2i32i3000002i−2i000000000000000000000000000000000000
χ974-40-2-2400−2i32i32-4223−234i−4i-21-200i3−i3−2i32i322-10000−333i−3i023−23000−2i32i3−2i2i−2i2i23−2310i3−i3-1000−333i−3i000000000i3−i33-3000i−i−330000000000000000000000000000000000
χ984-40-2-2400−2i32i32-4223−23−4i4i-21-200i3−i3−2i32i322-10000−333i−3i023−230002i3−2i32i−2i2i−2i−232310i3−i3-1000−333i−3i000000000−i3i3-33000−ii3−30000000000000000000000000000000000
χ994-40-2-2400−2i32i32-42−23234i−4i-21-200i3−i3−2i32i322-100003−3−3i3i0−23230002i3−2i3−2i2i−2i2i23−2310i3−i3-10003−3−3i3i000000000−i3i3-33000i−i−330000000000000000000000000000000000
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χ1014-40-2-24002i3−2i32-4223−234i−4i-21-200−i3i32i3−2i322-10000−33−3i3i023−23000−2i32i3−2i2i−2i2i−232310−i3i3-1000−33−3i3i000000000i3−i3-33000i−i3−30000000000000000000000000000000000
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χ1044-40-2-24002i3−2i32-42−2323−4i4i-21-200−i3i32i3−2i322-100003−33i−3i0−2323000−2i32i32i−2i2i−2i23−2310−i3i3-10003−33i−3i000000000i3−i3-33000−ii−330000000000000000000000000000000000
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χ106888-4-4-4-8-8-4-4-4-4-44400222-4-422222224444-2-2-2-24-2-200000000000-12-1-1-1-2-2-21111000000000000000000000000000000000000000000000000000000
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χ1168-80-4-4-4004i3−4i344443−430022200−2i32i3−2i32i3-2-2-20000−2323−6i6i0−232300000000000-10i3−i310003−33i−3i000000000000000000000000000000000000000000000000000000
χ1178-80-4-4-4004i3−4i3444−43430022200−2i32i3−2i32i3-2-2-2000023−236i−6i023−2300000000000-10i3−i31000−33−3i3i000000000000000000000000000000000000000000000000000000

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