Finite Group Databasebeta

← Group #13170613

Character table — Group #13170613

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222222233444444444444444444444446666666666688888888888812121212121212121212121212121212121212121212121224242424242424242424242436363636363636363636363636367272108108
order12233344666661212443336666666661212121212121212121212224661212121212123666612121212121212446666666881212121212121212122424242412121212121224242424242422246666882424242461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-11111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
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
χ911-1111-11-1-11111111111-1-1-1-1-1-1111-11-1-111-1-11111-1-1111111-1-11-1-1-11-11-111-1-11-1-11-111-1-11-1-111-1-111-1-111-1-11-111-1-1111-1-1-11-11-111-1-11-111-1-11-1-11
χ1011-1111-11-1-11111111111-1-1-1-1-1-1111-11-1-111-1-11111-1-1111111-1-11-1-1-11-11-111-1-11-1-11-111-1-1-11-111-1-111-1-1-1-1111-111-1-1-1-1-11111-1-1111-1-1-11-1-111-111-1
χ1111-1111-11-1-11111111111-1-1-1-1-1-1111-11-1-111-1-11111-1-1111111-1-11-1-1-11-11-111-1-1-11-11-111-1-11-1-1-1-11111-1-111-1-1-11-1-111111-1-1-1-11-11-1-1111-111-1-1-111-1
χ1211-1111-11-1-11111111111-1-1-1-1-1-1111-11-1-111-1-11111-1-1111111-1-11-1-1-11-11-111-1-1-11-11-111-1-1-11-1-1-11111-1-1-1-111-11-1-111-1-1-1111-111-1-1-111-11-1-1111-1-11
χ1311-1111-11-1-111111-1-1111-1-1-1-1-1-1111-11-1-111-1-1111-111-1-1-1-1-1-1111-1-1-11-11-111-1-11-11-11-1-1111-1111-1-1-1-11111-1-11-111-1-1111-1-1-1-111-1-1-111-11-1-1111-11-1
χ1411-1111-11-1-111111-1-1111-1-1-1-1-1-1111-11-1-111-1-1111-111-1-1-1-1-1-1111-1-1-11-11-111-1-11-11-11-1-111-11111-1-1-1-111-1-1111-111-1-1-1-1-1111-11-11-1-1111-111-1-1-11-11
χ1511-1111-11-1-111111-1-1111-1-1-1-1-1-1111-11-1-111-1-1111-111-1-1-1-1-1-1111-1-1-11-11-111-1-1-111-11-1-1111-11-1-111-1-11111-1-1-11-1-111111-1-1-11-1-1111-1-1-11-1-111-11-11
χ1611-1111-11-1-111111-1-1111-1-1-1-1-1-1111-11-1-111-1-1111-111-1-1-1-1-1-1111-1-1-11-11-111-1-1-111-11-1-111-111-1-111-1-111-1-111-11-1-111-1-1-11111-11-111-1-11-111-1-11-11-1
χ17222222-2-222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2-222222222222-2-2-2-2-2-2-200-2-2-2-2-2-2-2002000022220000000000000000000000000000000000
χ18222222-2-222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-222-222-2-2-2-2-2-222222-2-2-2-2-2-2-200222222200-20000-2-2-2-20000000000000000000000000000000000
χ1922222-122-1-12-1222222-1-122-1-1-1-12-1-12-1-12-1-1-1-12222222222-1-1-1-1-12-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1002-1-1-1-1-1-1-1-1000022-1-1-1-10000002200-1-1-1-10000000000
χ2022222-122-1-12-1222222-1-122-1-1-1-12-1-12-1-12-1-1-1-12222222222-1-1-1-1-12-1-1-12-1-1-1-1-1-1-2-22-1-1-1-1-1-10021111-1-1-1-10000-2-21111000000-2-20011110000000000
χ2122222-122-1-12-1222-2-22-1-122-1-1-1-12-1-12-1-12-1-1-1-1222-2-2-2-2-2-2-21111-12-1-1-12-1-1-1-1-1-122-211111100-2-1-1-1-11111000022-1-1-1-1000000-2-20011110000000000
χ2222222-122-1-12-1222-2-22-1-122-1-1-1-12-1-12-1-12-1-1-1-1222-2-2-2-2-2-2-21111-12-1-1-12-1-1-1-1-1-1-2-2-211111100-2111111110000-2-211110000002200-1-1-1-10000000000
χ2322222-1-2-2-1-12-12-2-2222-1-122-1-1-1-12-1-1-211-21111-2-2-2-2-22-2-222-1-1-1-1-12-1-1-1-211111100-2111111002−i3i3−i3i3-1-1-1-1000000−i3i3−i3i30000000000−i3i3−i3i30000000000
χ2422222-1-2-2-1-12-12-2-2222-1-122-1-1-1-12-1-1-211-21111-2-2-2-2-22-2-222-1-1-1-1-12-1-1-1-211111100-2111111002i3−i3i3−i3-1-1-1-1000000i3−i3i3−i30000000000i3−i3i3−i30000000000
χ2522222-1-2-2-1-12-12-2-2-2-22-1-122-1-1-1-12-1-1-211-21111-2-2-222-222-2-21111-12-1-1-1-2111111002-1-1-1-1-1-100-2−i3i3−i3i31111000000−i3i3−i3i30000000000i3−i3i3−i30000000000
χ2622222-1-2-2-1-12-12-2-2-2-22-1-122-1-1-1-12-1-1-211-21111-2-2-222-222-2-21111-12-1-1-1-2111111002-1-1-1-1-1-100-2i3−i3i3−i31111000000i3−i3i3−i30000000000−i3i3−i3i30000000000
χ272222-12222222-12200-1-122-1-1-122-12-1222-12222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1220000000220222200002222-1-1-1-1-1-1-1-1-1-1-1-100220000000000-1-100
χ282222-12222222-12200-1-122-1-1-122-12-1222-12222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1220000000-2-2022220000-2-2-2-2-1-1-1-1-1-111111100-2-200000000001100
χ292222-12222222-12200-1-122-1-1-122-12-1222-12222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000220-2-2-2-200002222111111-1-1-1-1-1-100-2-200000000001100
χ302222-12222222-12200-1-122-1-1-122-12-1222-12222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000-2-20-2-2-2-20000-2-2-2-211111111111100220000000000-1-100
χ31222-1222222-122-1-122-12-1-1222-1-1-1-12-1222-1-1-1-12-1-1222-1-1-1-12222-1-1-1-1-1-122-1-1-1-100-122-1-1-1-122-10000-1-1-1-1-1-1-1-10000002-1-12-1-10000000022-1-1-1-10000
χ32222-1222222-122-1-122-12-1-1222-1-1-1-12-1222-1-1-1-12-1-1222-1-1-1-12222-1-1-1-1-1-122-1-1-1-100-122-1-1-1-1-2-2-10000-1-1-1-11111000000-211-21100000000-2-211110000
χ33222-1222222-122-1-1-2-2-12-1-1222-1-1-1-12-1222-1-1-1-12-1-1-2-2-21111-2-2-2-2-1-1-1-1-1-122-1-1-1-1001-2-2111122100001111-1-1-1-10000002-1-12-1-100000000-2-211110000
χ34222-1222222-122-1-1-2-2-12-1-1222-1-1-1-12-1222-1-1-1-12-1-1-2-2-21111-2-2-2-2-1-1-1-1-1-122-1-1-1-1001-2-21111-2-21000011111111000000-211-2110000000022-1-1-1-10000
χ35222-122-2-222-1221122-12-1-1222-1-1-1-121-2-2-21111-211-2-2211-1-12222-1-1-1-1-11-2-21111001-2-2111100-10000-1-1-1-13−33−300000003−303−300000000003−33−30000
χ36222-122-2-222-1221122-12-1-1222-1-1-1-121-2-2-21111-211-2-2211-1-12222-1-1-1-1-11-2-21111001-2-2111100-10000-1-1-1-1−33−330000000−330−330000000000−33−330000
χ37222-122-2-222-12211-2-2-12-1-1222-1-1-1-121-2-2-21111-21122-2-1-111-2-2-2-2-1-1-1-1-11-2-2111100-122-1-1-1-1001000011113−33−300000003−303−30000000000−33−330000
χ38222-122-2-222-12211-2-2-12-1-1222-1-1-1-121-2-2-21111-21122-2-1-111-2-2-2-2-1-1-1-1-11-2-2111100-122-1-1-1-100100001111−33−330000000−330−3300000000003−33−30000
χ3922-22222-2-2-2222-2-222222-2-2-2-2-2-22222-222-2-222-2-2-2-22-2-2-22222-2-22-2-2-222-22-2-222002-22-2-22200-2000022-2-20000000000000000000000000000000000
χ4022-22222-2-2-2222-2-2-2-2222-2-2-2-2-2-22222-222-2-222-2-2-22-2222-2-2-2-2222-2-2-222-22-2-22200-22-222-2-20020000-2-2220000000000000000000000000000000000
χ4122-222-12-2112-12-2-2222-1-1-2-211112-1-121-1211-1-1-2-2-2-22-2-2-222-1-111-1-211-121-111-1-10021-111-1-100-2−i3i3i3−i3-1-111000000−i3i3i3−i30000000000−i3i3i3−i30000000000
χ4222-222-12-2112-12-2-2222-1-1-2-211112-1-121-1211-1-1-2-2-2-22-2-2-222-1-111-1-211-121-111-1-10021-111-1-100-2i3−i3−i3i3-1-111000000i3−i3−i3i30000000000i3−i3−i3i30000000000
χ4322-222-12-2112-12-2-2-2-22-1-1-2-211112-1-121-1211-1-1-2-2-22-2222-2-211-1-1-1-211-121-111-1-100-2-11-1-111002−i3i3i3−i311-1-1000000−i3i3i3−i30000000000i3−i3−i3i30000000000
χ4422-222-12-2112-12-2-2-2-22-1-1-2-211112-1-121-1211-1-1-2-2-22-2222-2-211-1-1-1-211-121-111-1-100-2-11-1-111002i3−i3−i3i311-1-1000000i3−i3−i3i30000000000−i3i3i3−i30000000000
χ4522-222-1-22112-1222222-1-1-2-211112-1-1-2-11-2-1-1112222-2-22222-1-111-1-211-1-2-11-1-1112-2-2-11-1-11100-2-1-111-1-11100002-2-1-1110000002-200-1-1110000000000
χ4622-222-1-22112-1222222-1-1-2-211112-1-1-2-11-2-1-1112222-2-22222-1-111-1-211-1-2-11-1-111-22-2-11-1-11100-211-1-1-1-1110000-2211-1-1000000-220011-1-10000000000
χ4722-222-1-22112-1222-2-22-1-1-2-211112-1-1-2-11-2-1-111222-222-2-2-2-211-1-1-1-211-1-2-11-1-1112-221-111-1-1002-1-11111-1-100002-2-1-111000000-220011-1-10000000000
χ4822-222-1-22112-1222-2-22-1-1-2-211112-1-1-2-11-2-1-111222-222-2-2-2-211-1-1-1-211-1-2-11-1-111-2221-111-1-100211-1-111-1-10000-2211-1-10000002-200-1-1110000000000
χ4922-22-12-22-2-222-12200-1-12-2111-2-2-12-1-22-2122-2-2-1-1-100000000000-1111-11-11-1-1112-200000002-2022-2-2000022-2-2-11-1-111-1-1-1111002-20000000000-1100
χ5022-22-12-22-2-222-12200-1-12-2111-2-2-12-1-22-2122-2-2-1-1-100000000000-1111-11-11-1-1112-20000000-22022-2-20000-2-222-11-1-111111-1-1-100-2200000000001-100
χ5122-22-12-22-2-222-12200-1-12-2111-2-2-12-1-22-2122-2-2-1-1-100000000000-1111-11-11-1-111-2200000002-20-2-222000022-2-21-111-1-1-1-1-111100-2200000000001-100
χ5222-22-12-22-2-222-12200-1-12-2111-2-2-12-1-22-2122-2-2-1-1-100000000000-1111-11-11-1-111-220000000-220-2-2220000-2-2221-111-1-1111-1-1-1002-20000000000-1100
χ5322-2-1222-2-2-2-1221122-12-11-2-2-211-1-12-1-22211-1-1-211-22-211-1-122-2-2-1111-1-1-2211-1-100-1-2211-1-10010000-1-1113−3−3300000003−30−3300000000003−3−330000
χ5422-2-1222-2-2-2-1221122-12-11-2-2-211-1-12-1-22211-1-1-211-22-211-1-122-2-2-1111-1-1-2211-1-100-1-2211-1-10010000-1-111−333−30000000−3303−30000000000−333−30000
χ5522-2-1222-2-2-2-12211-2-2-12-11-2-2-211-1-12-1-22211-1-1-2112-22-1-111-2-222-1111-1-1-2211-1-10012-2-1-11100-1000011-1-13−3−3300000003−30−330000000000−333−30000
χ5622-2-1222-2-2-2-12211-2-2-12-11-2-2-211-1-12-1-22211-1-1-2112-22-1-111-2-222-1111-1-1-2211-1-10012-2-1-11100-1000011-1-1−333−30000000−3303−300000000003−3−330000
χ5722-2-122-22-2-2-122-1-122-12-11-2-2-211-1-1212-2-2-1-1112-1-12-2-2-1-1-1-122-2-2-1111-112-2-1-1110012-2-1-1112-210000-1-111-1-1110000002-1-1-211000000002-2-1-1110000
χ5822-2-122-22-2-2-122-1-122-12-11-2-2-211-1-1212-2-2-1-1112-1-12-2-2-1-1-1-122-2-2-1111-112-2-1-1110012-2-1-111-2210000-1-11111-1-1000000-2112-1-100000000-2211-1-10000
χ5922-2-122-22-2-2-122-1-1-2-2-12-11-2-2-211-1-1212-2-2-1-1112-1-1-2221111-2-222-1111-112-2-1-11100-1-2211-1-12-2-1000011-1-1-1-1110000002-1-1-21100000000-2211-1-10000
χ6022-2-122-22-2-2-122-1-1-2-2-12-11-2-2-211-1-1212-2-2-1-1112-1-1-2221111-2-222-1111-112-2-1-11100-1-2211-1-1-22-1000011-1-111-1-1000000-2112-1-1000000002-2-1-1110000
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χ624444-2-244-2-24-2-24400-21-24-211-2-2-2-214-2-2-2-2-2-2-2-2-2-2000000000001-2111-2111111440000000000-2-2-2-200000000-2-21111000000000000000000000000
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χ644444-2-2-4-4-2-24-2-2-4-400-21-24-211-2-2-2-21-42222222222000000000001-21112-1-1-1-1-1-1000000000000−2i32i3−2i32i30000000000i3−i3i3−i3000000000000000000000000
χ654444-2-2-4-4-2-24-2-2-4-400-21-24-211-2-2-2-21-42222222222000000000001-21112-1-1-1-1-1-10000000000002i3−2i32i3−2i30000000000−i3i3−i3i3000000000000000000000000
χ66444-24-244-2-2-2-24-2-244-2-21-24-2-211-21-2-2-2-2411114-2-2444-2-2-2-2-2-2-2-21-2111-2-2-2111100-2-2-2111100-2000011110000000000000000000000000000000000
χ67444-24-244-2-2-2-24-2-2-4-4-2-21-24-2-211-21-2-2-2-2411114-2-2-4-4-4222222221-2111-2-2-2111100222-1-1-1-10020000-1-1-1-10000000000000000000000000000000000
χ68444-24-2-4-4-2-2-2-242244-2-21-24-2-211-21-2222-4-1-1-1-1-422-4-4422-2-2-2-2-2-21-2111222-1-1-1-100222-1-1-1-100-2000011110000000000000000000000000000000000
χ69444-24-2-4-4-2-2-2-2422-4-4-2-21-24-2-211-21-2222-4-1-1-1-1-42244-4-2-22222221-2111222-1-1-1-100-2-2-211110020000-1-1-1-10000000000000000000000000000000000
χ70444-2-244444-24-2-2-2001-2-2-2-2-2-2-2-21-2-2-244-2-2-2-2-2-21100000000000111111-2-2111100000000044000000000-2-2-2-2000000-211-211000000000000000000
χ71444-2-244444-24-2-2-2001-2-2-2-2-2-2-2-21-2-2-244-2-2-2-2-2-21100000000000111111-2-21111000000000-4-400000000022220000002-1-12-1-1000000000000000000
χ72444-2-24-4-444-24-222001-2-2-2-2-2-2-2-21-2-22-4-4222222-1-10000000000011111-122-1-1-1-10000000000000000000023−2323−230000000−330−33000000000000000000
χ73444-2-24-4-444-24-222001-2-2-2-2-2-2-2-21-2-22-4-4222222-1-10000000000011111-122-1-1-1-100000000000000000000−2323−232300000003−303−3000000000000000000
χ7444-44-244-4-4-444-2-4-400-2-24-4222-4-4-24-24-44-2-4-44422200000000000-2222-2-22-222-2-2000000000000000000000000000000000000000000000000000000
χ7544-44-2-24-4224-2-2-4-400-21-2-42-1-122-2-2142-2-222-2-22220000000000012-1-11-2-11-1-111000000000000−2i32i32i3−2i30000000000i3−i3−i3i3000000000000000000000000
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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).