Finite Group Databasebeta

← Group #13170549

Character table — Group #13170549

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order12233344666121233366666612121212121212121212122244366666612121212121212224466666666121212121212121288666666661212121212121212224466668121212122424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-11-1111111-1-111-1-11111-1-11-11111-1-11-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-11-1111-1-11111111111-1-1-1-1-1111-1-111-1111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111
χ5111111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-111-1-111-1-1111111-1-1111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1
χ6111111111111111111111111111111111-1-1-1-1111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111-1-1-1-111111111111111-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-11-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1
χ911-1111-11111-1-1111-1-1-11111-11-111-1-1-1-111-11-11-1-1-1-1-1111-111-1-111-1-11-1111-1111-1-1-11-1-1-1-1-1111-11111-1-11-1-1-1-1-11-11-111-1-1111-1-111-1-11-1
χ1011-1111-11111-1-1111-1-1-11111-11-111-1-1-1-111-11-11-1-1-1-1-1111-111-1-11-1-111-1111-1-1-11-1111-1-1-1111-11-111-1-1-111-1-1-111-111-1-1-111-111-1-1-1-111-11
χ1111-1111-11111-1-1111-1-1-11111-11-111-1-1-1-111-11-11-1-1-1-1-1111-111-1-1-111-11-1-1-11-1111-1-1-11-11111-111-1-1-1111-11-111-1-11-1-1111-1-1-1-1-111-1-111-11
χ1211-1111-11111-1-1111-1-1-11111-11-111-1-1-1-111-11-11-1-1-1-1-1111-111-1-1-1-1111-1-1-11-1-1-11-1111-111-1-1-1-11-1-1-1-1-1111-11111-11-11-1-1111-1-11111-1-11-1
χ1311-1111-11111-1-1111-1-1-11111-11-111-1-1-1-11-11-111-1-1-1-1-1111-111-1-111-1-1-1111-1111-11-1-1-11-1-1-1-111-111111-1-1-11-1-1-1-1-11-11-1-1111-1-11111-1-1-11
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χ2522222-1-2-22-12-2-22-1-122-12-1-111-2-211-2-211-2-222-2-12-1-1-1-1-1-21111110000-22001-1−i3i3-11−i3i32-20000001-100−i3i300-1100−i3i30000i3−i3i3−i300000000000
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χ272222-122222-122-12-12-12-12-122-1-1-1-1-1-12222222-1-12-1-1-1-1-12-1-1-1-1-12020-1-1-1-122002200-1-1-1-10020-1-1-1-10020-1-1-1-100002200000-1-1-1-1000000
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χ302222-122222-122-12-12-12-12-122-1-1-1-1-1-1222-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-1-20-201111-2-200-2-200111100-20111100-20111100002200000-1-1-1-1000000
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χ36222-12222-122-1-1-1-12-122-1-12222222-1-1-1-1-10000-1-1-12-1-1-1-1-12-1-1-1-12-22-2002200-2-200-2-20022-2-2-1100-1-111-1100-1-11100000000-20000111100
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χ3922-22222-222222222-2-2-2222-22-22-2-22222-222-2-22-2-2-2-2-22-2-22-2-222000022002200-2-200-2-200000022000000-2-200000000000000000000000
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χ4522-222-1-222-12-2-22-1-1-2-212-1-1-112-2-1-1-2-21122-22-2-1-21111-12-11-1-111020-22-200-11-1-1-11112-2000002-1100-1-10-2-1100112-200-1-11100000000000
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χ8444-4-2-244-4-24-2-2-21-2-222-41-2-2-442-22211-2-2200001-122-1-11-12-2-1-1110000002i3−2i30000000000−2i32i3000000−i3i3000000i3−i3000000000000000000000
χ8544-4-2-24-44-24-2221-2-222-41-2-24-4-22-2-2-1-122-200001-122-1-111-2211-1-140-4000-2-200000000002200-200011002000-1-1000000000000000000000
χ8644-4-2-24-44-24-2221-2-222-41-2-24-4-22-2-2-1-122-200001-122-1-111-2211-1-1-404000220000000000-2-2002000-1-100-200011000000000000000000000
χ874-4044400-4-4-400444000-4-4-4000000000000000400000-4000000000000000000000000000−2i22i20000000000000000000000000000000−2i22i200
χ884-4044400-4-4-400444000-4-4-4000000000000000400000-40000000000000000000000000002i2−2i200000000000000000000000000000002i2−2i200
χ894-40-244002-4-423−23-2-2400022-400000023−2323−2300000-20000020000023−2300000000000000000000−2i22i200000000000000000000000000000i6−i6i2−i200
χ904-40-244002-4-423−23-2-2400022-400000023−2323−2300000-20000020000023−23000000000000000000002i2−2i200000000000000000000000000000−i6i6−i2i200
χ914-40-244002-4-4−2323-2-2400022-4000000−2323−232300000-200000200000−232300000000000000000000−2i22i200000000000000000000000000000−i6i6i2−i200
χ924-40-244002-4-4−2323-2-2400022-4000000−2323−232300000-200000200000−2323000000000000000000002i2−2i200000000000000000000000000000i6−i6−i2i200
χ93888-4-4-488-4-4-4-4-4222-4-4-4222-4-4-4-4222222-40000-1222-1-1-1222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ94888-4-4-4-8-8-4-4-444222-4-4-42224444-2-2-2-2-2-240000-1222-1-1-1-2-2-21111000000000000000000000000000000000000000000000000000000000
χ9588-8-4-4-48-8-4-4-4-4-42224442224-44-4-2-2222240000-1-2-2-211-1-2-2211-1-1000000000000000000000000000000000000000000000000000000000
χ9688-8-4-4-4-88-4-4-444222444222-44-4422-2-2-2-2-40000-1-2-2-211-122-2-1-111000000000000000000000000000000000000000000000000000000000
χ978-8088-400-84-8008-4-4000-844000000000000000-40000040000000000000000000000000000000000000000000000000000000000000000
χ988-808-4800-8-8400-48-40004-84000000000000000-40000040000000000000000000000000000000000000000000000000000000000000000
χ998-808-4-400-84400-4-4200044-200006i−6i000000000200000-20006i−6i00000000000000000000000000000000000000000000000000000000000
χ1008-808-4-400-84400-4-4200044-20000−6i6i000000000200000-2000−6i6i00000000000000000000000000000000000000000000000000000000000
χ1018-80-48-40044-843−43-42-40004-2400000043−43−232300000200000-200000−2323000000000000000000000000000000000000000000000000000000000
χ1028-80-48-40044-8−4343-42-40004-24000000−434323−2300000200000-20000023−23000000000000000000000000000000000000000000000000000000000
χ1038-80-4-48004-8443−432-4-4000-244000000−232343−4300000200000-200000−2323000000000000000000000000000000000000000000000000000000000
χ1048-80-4-48004-84−43432-4-4000-24400000023−23−434300000200000-20000023−23000000000000000000000000000000000000000000000000000000000
χ1058-80-4-4-40044443−43222000-2-2-200006i−6i−2323−232300000-1000−3i33i31000−3i3i3−3000000000000000000000000000000000000000000000000000000000
χ1068-80-4-4-40044443−43222000-2-2-20000−6i6i−2323−232300000-10003i3−3i310003i−3i3−3000000000000000000000000000000000000000000000000000000000
χ1078-80-4-4-400444−4343222000-2-2-200006i−6i23−2323−2300000-10003i3−3i31000−3i3i−33000000000000000000000000000000000000000000000000000000000
χ1088-80-4-4-400444−4343222000-2-2-20000−6i6i23−2323−2300000-1000−3i33i310003i−3i−33000000000000000000000000000000000000000000000000000000000

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