Finite Group Databasebeta

← Group #13170659

Character table — Group #13170659

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222444444444888888812121212121212181818182424242424242424242436363636363636108112222222444444444888888812121212121212181818182424242424242424242436363636363636108
order12333466633366612121236121212121222466121224121266666661212126882424242422266646666666661212126612121212122246612122412126666666121212688242424242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-111-1-1-1-1-1-11111111-1-1-1-11-111-1-1-1111111111111111111111111111-111-1-1-1-1-1-11111111-1-1-1-11-111-1-1-1
χ311111111111111111111111111-1111111111-11-111-1-11111-1-1-1-1-1-1-111111111111111111111111111-1111111111-11-111-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-11-1-111111111111111111111111111111-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111-111-1-111-1-1-1-11-11-1-111111-1-11-1-111-11111111111111111111111111-111-1-111-1-1-1-11-11-1-111111-1-11-1-111-1
χ61111111111111111111111111-11-1-1-1-1-111111-11-1-111-1-1-11-1-1-1-1-1-111111111111111111111111111-11-1-1-1-1-111111-11-1-111-1-1-11-1-1-1-1-1-11
χ71111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-11
χ81111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-11111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1
χ922222-2222222222-2-2-222-2-2-2-2-200000002-2-2-200000000002000000022222-2222222222-2-2-222-2-2-2-2-200000002-2-2-2000000000020000000
χ1022222-2222222222-2-2-222-2-2-2-2-20000000-22220000000000-2000000022222-2222222222-2-2-222-2-2-2-2-20000000-22220000000000-20000000
χ112222-1222-1-12-12-1-1-122-1-12-1-1-1-1202-1-1-1-122-1-1020-1-1002-1-1-100000002222-1222-1-12-12-1-1-122-1-12-1-1-1-1202-1-1-1-122-1-1020-1-1002-1-1-10000000
χ122222-1222-1-12-12-1-1-122-1-12-1-1-1-120-2-1-111-2-211020-1-100-211100000002222-1222-1-12-12-1-1-122-1-12-1-1-1-120-2-1-111-2-211020-1-100-21110000000
χ132222-1222-1-12-12-1-1-122-1-12-1-1-1-1-20211-1-1-2-2110-2011002-1-1100000002222-1222-1-12-12-1-1-122-1-12-1-1-1-1-20211-1-1-2-2110-2011002-1-110000000
χ142222-1222-1-12-12-1-1-122-1-12-1-1-1-1-20-2111122-1-10-201100-211-100000002222-1222-1-12-12-1-1-122-1-12-1-1-1-1-20-2111122-1-10-201100-211-10000000
χ152222-1-222-1-12-12-1-11-2-2-1-1-21111000−i3i3−i3i32-211000−i3i3000−i3i3-100000002222-1-222-1-12-12-1-11-2-2-1-1-21111000−i3i3−i3i32-211000−i3i3000−i3i3-10000000
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χ172222-1-222-1-12-12-1-11-2-2-1-1-21111000i3−i3−i3i3-22-1-1000i3−i3000−i3i3100000002222-1-222-1-12-12-1-11-2-2-1-1-21111000i3−i3−i3i3-22-1-1000i3−i3000−i3i310000000
χ182222-1-222-1-12-12-1-11-2-2-1-1-21111000i3−i3i3−i32-211000i3−i3000i3−i3-100000002222-1-222-1-12-12-1-11-2-2-1-1-21111000i3−i3i3−i32-211000i3−i3000i3−i3-10000000
χ19222-122-1222-1-1-1-122-12-1-1-1-12-1-1220220000002-1-1-1-1-1-1000020-1-1000222-122-1222-1-1-1-122-12-1-1-1-12-1-1220220000002-1-1-1-1-1-1000020-1-1000
χ20222-122-1222-1-1-1-122-12-1-1-1-12-1-12-2022000000-2-11-1-1110000-2011000222-122-1222-1-1-1-122-12-1-1-1-12-1-12-2022000000-2-11-1-1110000-2011000
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χ2422-12222-12-1-12-12-122-1-1-1-12-1-1-102-200-2-20000-10200-1-111100-20011022-12222-12-1-12-12-122-1-1-1-12-1-1-102-200-2-20000-10200-1-111100-200110
χ2522-12222-12-1-12-12-122-1-1-1-12-1-1-10-220022000010-20011-1-1-100-20011022-12222-12-1-12-12-122-1-1-1-12-1-1-10-220022000010-20011-1-1-100-200110
χ2622-12222-12-1-12-12-122-1-1-1-12-1-1-10-2-200-2-2000010-2001111100200-1-1022-12222-12-1-12-12-122-1-1-1-12-1-1-10-2-200-2-2000010-2001111100200-1-10
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χ30444-2-2-4-24-2-2-21-21-222-4112-12-1-1000−2i32i3000000000i3−i30000000000000444-2-2-4-24-2-2-21-21-222-4112-12-1-1000−2i32i3000000000i3−i30000000000000
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χ3244-244-44-24-2-24-24-2-4-42-2-22-42220000000000000000000000000000044-244-44-24-2-24-24-2-4-42-2-22-422200000000000000000000000000000
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χ414-44440-4-4-4444-4-4-40004-400000000000000000000000000000000004-44440-4-4-4444-4-4-40004-40000000000000000000000000000000000
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χ4988-4-4-4-8-4-4-4222222444-1-1-2-2-2110000000000000000000000000000088-4-4-4-8-4-4-4222222444-1-1-2-2-21100000000000000000000000000000
χ508-88-4-404-84-4-424-240002-200000000000000000000000000000000008-88-4-404-84-4-424-240002-20000000000000000000000000000000000
χ518-8-48-40-8442-4-444-20002-200000000000000000000000000000000008-8-48-40-8442-4-444-20002-20000000000000000000000000000000000
χ528-8-4-48044-8-42-4-2440002-200000000000000000000000000000000008-8-4-48044-8-42-4-2440002-20000000000000000000000000000000000
χ538-8-4-4-40444222-2-2-2000-1100033−33000000000000000000000000000008-8-4-4-40444222-2-2-2000-1100033−3300000000000000000000000000000
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χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ56111111111111111111111111111-111-1-1-1-1-1-11111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-11111-11-1-1111
χ5711111111111111111111111111-1111111111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111111
χ5811111111111111111111111111-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-1-11111111-111-1-1-1
χ591111111111111111111111111-111-1-111-1-1-1-11-11-1-111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-11-111-1-1-1-1-111-111-1-11
χ601111111111111111111111111-11-1-1-1-1-111111-11-1-111-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11-111-1-1111-1111111-1
χ611111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111111-1-1-11-11-1-111-1
χ621111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-1-1-11
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χ682222-1222-1-12-12-1-1-122-1-12-1-1-1-1-20-2111122-1-10-201100-211-10000000-2-2-2-21-2-2-211-21-2111-2-211-21111202-1-1-1-1-2-211020-1-1002-1-110000000
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χ7922-12222-12-1-12-12-122-1-1-1-12-1-1-10-220022000010-20011-1-1-100-200110-2-21-2-2-2-21-211-21-21-2-21111-211102-200-2-20000-10200-1-111100200-1-10
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χ9044-24-2-44-2-21-2-2-2-212-421122-1-1-1000002i3−2i3000000000000−i3i300000000-4-42-424-422-12222-1-24-2-1-1-2-211100000−2i32i3000000000000i3−i300000000
χ9144-2-244-2-24-21-21-2-24-2-2111-2-21104000000000-20-2001100000000000-4-422-4-422-42-12-122-422-1-1-122-1-10-400000000020200-1-100000000000
χ9244-2-244-2-24-21-21-2-24-2-2111-2-2110-400000000020200-1-100000000000-4-422-4-422-42-12-122-422-1-1-122-1-104000000000-20-2001100000000000
χ9344-2-24-4-2-24-21-21-2-2-42211-122-1-100000000000000003-300000000000-4-422-4422-42-12-1224-2-2-1-11-2-2110000000000000000-3300000000000
χ9444-2-24-4-2-24-21-21-2-2-42211-122-1-10000000000000000-3300000000000-4-422-4422-42-12-1224-2-2-1-11-2-21100000000000000003-300000000000
χ954-44440-4-4-4444-4-4-40004-40000000000000000000000000000000000-44-4-4-40444-4-4-4444000-440000000000000000000000000000000000
χ964-444-20-4-42-24-2-422000-220000000000000023−23000000000000000000-44-4-42044-22-424-2-20002-200000000000000−2323000000000000000000
χ974-444-20-4-42-24-2-422000-2200000000000000−2323000000000000000000-44-4-42044-22-424-2-20002-20000000000000023−23000000000000000000
χ984-44-2402-4-44-2-222-4000-2200000000000000000000000000000i6−i6000-44-42-40-244-422-2-240002-200000000000000000000000000000−i6i6000
χ994-44-2402-4-44-2-222-4000-2200000000000000000000000000000−i6i6000-44-42-40-244-422-2-240002-200000000000000000000000000000i6−i6000
χ1004-4-2440-42-4-2-242-42000-2200000000000000000000000000000006−60-442-4-404-2422-4-24-20002-20000000000000000000000000000000−660
χ1014-4-2440-42-4-2-242-42000-220000000000000000000000000000000−660-442-4-404-2422-4-24-20002-200000000000000000000000000000006−60
χ10288-4-4-48-4-4-4222222-4-4-4-1-1222-1-100000000000000000000000000000-8-8444-8444-2-2-2-2-2-244411-2-2-21100000000000000000000000000000
χ10388-4-4-4-8-4-4-4222222444-1-1-2-2-21100000000000000000000000000000-8-84448444-2-2-2-2-2-2-4-4-411222-1-100000000000000000000000000000
χ1048-88-4-404-84-4-424-240002-20000000000000000000000000000000000-88-8440-48-444-2-42-4000-220000000000000000000000000000000000
χ1058-8-48-40-8442-4-444-20002-20000000000000000000000000000000000-884-8408-4-4-244-4-42000-220000000000000000000000000000000000
χ1068-8-4-48044-8-42-4-2440002-20000000000000000000000000000000000-8844-80-4-484-242-4-4000-220000000000000000000000000000000000
χ1078-8-4-4-40444222-2-2-2000-1100033−3300000000000000000000000000000-884440-4-4-4-2-2-22220001-1000−333300000000000000000000000000000
χ1088-8-4-4-40444222-2-2-2000-11000−333300000000000000000000000000000-884440-4-4-4-2-2-22220001-100033−3300000000000000000000000000000

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