Finite Group Databasebeta

← Group #13170685

Character table — Group #13170685

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222444444444888888812121212121212181818182424242424242424242436363636363636108112222222444444444888888812121212121212181818182424242424242424242436363636363636108
order1233346663336661212123612121212122446612122412126661212121212121268824242424422666466666666612121266121212121224466121224121266612121212121212688242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-111111111111-11-111-1-11-1-1-1-1-1-1-1111111111111111111111111111-111111111111-11-111-1-11-1-1-1-1-1-1-1
χ311111111111111111111111111-1111-1-1-1-1-1-11111-11-1-111-11-111-1-1-111111111111111111111111111-1111-1-1-1-1-1-11111-11-1-111-11-111-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111-111-1-111-1-1-1-1-1-1-11111111-1-11-1-111-11111111111111111111111111-111-1-111-1-1-1-1-1-1-11111111-1-11-1-111-1
χ61111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-111-1-1-11-111-1-111111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-111-1-1-11-111-1-11
χ71111111111111111111111111-1-11-1-1-1-11111-1-1-11-11-1-1111-1-1-1-1-1-111111111111111111111111111-1-11-1-1-1-11111-1-1-11-11-1-1111-1-1-1-1-1-11
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
χ112222-1222-12-1-1-12-1-122-1-1-12-1-1-1220-1-1-1-122-1-12-1-1020-1-100-100000002222-1222-12-1-1-12-1-122-1-1-12-1-1-1220-1-1-1-122-1-12-1-1020-1-100-10000000
χ122222-1222-12-1-1-12-1-122-1-1-12-1-1-12-20-1-111-2-2112-1-10-201100100000002222-1222-12-1-1-12-1-122-1-1-12-1-1-12-20-1-111-2-2112-1-10-20110010000000
χ132222-1222-12-1-1-12-1-122-1-1-12-1-1-1-22011-1-1-2-211-211020-1-100100000002222-1222-12-1-1-12-1-122-1-1-12-1-1-1-22011-1-1-2-211-211020-1-10010000000
χ142222-1222-12-1-1-12-1-122-1-1-12-1-1-1-2-20111122-1-1-2110-201100-100000002222-1222-12-1-1-12-1-122-1-1-12-1-1-1-2-20111122-1-1-2110-201100-10000000
χ152222-1-222-12-1-1-12-11-2-2-1-11-2111000−i3i3−i3i32-2110−i3i3000−i3i300-100000002222-1-222-12-1-1-12-11-2-2-1-11-2111000−i3i3−i3i32-2110−i3i3000−i3i300-10000000
χ162222-1-222-12-1-1-12-11-2-2-1-11-2111000−i3i3i3−i3-22-1-10−i3i3000i3−i300100000002222-1-222-12-1-1-12-11-2-2-1-11-2111000−i3i3i3−i3-22-1-10−i3i3000i3−i30010000000
χ172222-1-222-12-1-1-12-11-2-2-1-11-2111000i3−i3−i3i3-22-1-10i3−i3000−i3i300100000002222-1-222-12-1-1-12-11-2-2-1-11-2111000i3−i3−i3i3-22-1-10i3−i3000−i3i30010000000
χ182222-1-222-12-1-1-12-11-2-2-1-11-2111000i3−i3i3−i32-2110i3−i3000i3−i300-100000002222-1-222-12-1-1-12-11-2-2-1-11-2111000i3−i3i3−i32-2110i3−i3000i3−i300-10000000
χ19222-122-122-12-1-1-122-12-1-1-1-12-1-120222000000-1-1-1-10200-1-1020-1-1000222-122-122-12-1-1-122-12-1-1-1-12-1-120222000000-1-1-1-10200-1-1020-1-1000
χ20222-122-122-12-1-1-122-12-1-1-1-12-1-120-222000000-1-1-110-200110-2011000222-122-122-12-1-1-122-12-1-1-1-12-1-120-222000000-1-1-110-200110-2011000
χ21222-122-122-12-1-1-122-12-1-1-1-12-1-1-202-2-2000000111-10200-1-10-2011000222-122-122-12-1-1-122-12-1-1-1-12-1-1-202-2-2000000111-10200-1-10-2011000
χ22222-122-122-12-1-1-122-12-1-1-1-12-1-1-20-2-2-200000011110-20011020-1-1000222-122-122-12-1-1-122-12-1-1-1-12-1-1-20-2-2-200000011110-20011020-1-1000
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χ2422-12222-12-1-122-1-122-1-1-12-1-1-1-102-200220000000-2-11-1-11100-20011022-12222-12-1-122-1-122-1-1-12-1-1-1-102-200220000000-2-11-1-11100-200110
χ2522-12222-12-1-122-1-122-1-1-12-1-1-1-10-2200-2-2000000021-111-1-100-20011022-12222-12-1-122-1-122-1-1-12-1-1-1-10-2200-2-2000000021-111-1-100-200110
χ2622-12222-12-1-122-1-122-1-1-12-1-1-1-10-2-200-2-20000000-211111100200-1-1022-12222-12-1-122-1-122-1-1-12-1-1-1-10-2-200-2-20000000-211111100200-1-10
χ27444-24-4-244-24-2-2-24-42-4-2-222-42200000000000000000000000000000444-24-4-244-24-2-2-24-42-4-2-222-42200000000000000000000000000000
χ28444-2-24-24-2-2-211-2-2-2-24111-2-211400-2-2000000-211000000000000000444-2-24-24-2-2-211-2-2-2-24111-2-211400-2-2000000-211000000000000000
χ29444-2-24-24-2-2-211-2-2-2-24111-2-211-400220000002-1-1000000000000000444-2-24-24-2-2-211-2-2-2-24111-2-211-400220000002-1-1000000000000000
χ30444-2-2-4-24-2-2-211-2-222-411-122-1-1000−2i32i30000000i3−i3000000000000000444-2-2-4-24-2-2-211-2-222-411-122-1-1000−2i32i30000000i3−i3000000000000000
χ31444-2-2-4-24-2-2-211-2-222-411-122-1-10002i3−2i30000000−i3i3000000000000000444-2-2-4-24-2-2-211-2-222-411-122-1-10002i3−2i30000000−i3i3000000000000000
χ3244-244-44-24-2-244-2-2-4-42-2-2-422220000000000000000000000000000044-244-44-24-2-244-2-2-4-42-2-2-4222200000000000000000000000000000
χ3344-24-244-2-2-21-2-2-21-24-211-2-211104000-2-200000000-2011000000000044-24-244-2-2-21-2-2-21-24-211-2-211104000-2-200000000-20110000000000
χ3444-24-244-2-2-21-2-2-21-24-211-2-21110-4000220000000020-1-1000000000044-24-244-2-2-21-2-2-21-24-211-2-21110-4000220000000020-1-10000000000
χ3544-24-2-44-2-2-21-2-2-212-421122-1-1-100000−2i32i30000000000i3−i3000000000044-24-2-44-2-2-21-2-2-212-421122-1-1-100000−2i32i30000000000i3−i30000000000
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χ3744-2-244-2-241-2-2-21-24-2-211-21-21100400000000000-20-200110000000044-2-244-2-241-2-2-21-24-2-211-21-21100400000000000-20-2001100000000
χ3844-2-244-2-241-2-2-21-24-2-211-21-21100-40000000000020200-1-10000000044-2-244-2-241-2-2-21-24-2-211-21-21100-40000000000020200-1-100000000
χ3944-2-24-4-2-241-2-2-21-2-422112-12-1-100000000000000000003-30000000044-2-24-4-2-241-2-2-21-2-422112-12-1-100000000000000000003-300000000
χ4044-2-24-4-2-241-2-2-21-2-422112-12-1-10000000000000000000-330000000044-2-24-4-2-241-2-2-21-2-422112-12-1-10000000000000000000-3300000000
χ414-44440-4-4-4444-4-4-40004-400000000000000000000000000000000004-44440-4-4-4444-4-4-40004-40000000000000000000000000000000000
χ424-444-20-4-424-2-22-42000-220000000000000023−230000000000000000004-444-20-4-424-2-22-42000-220000000000000023−23000000000000000000
χ434-444-20-4-424-2-22-42000-2200000000000000−23230000000000000000004-444-20-4-424-2-22-42000-2200000000000000−2323000000000000000000
χ444-44-2402-4-4-24-222-4000-22000000000000000000000000000006−60004-44-2402-4-4-24-222-4000-22000000000000000000000000000006−6000
χ454-44-2402-4-4-24-222-4000-2200000000000000000000000000000−660004-44-2402-4-4-24-222-4000-2200000000000000000000000000000−66000
χ464-4-2440-42-4-2-24-422000-220000000000000000000000000000000i6−i604-4-2440-42-4-2-24-422000-220000000000000000000000000000000i6−i60
χ474-4-2440-42-4-2-24-422000-220000000000000000000000000000000−i6i604-4-2440-42-4-2-24-422000-220000000000000000000000000000000−i6i60
χ4888-4-4-48-4-4-4222222-4-4-4-1-1222-1-10000000000000000000000000000088-4-4-48-4-4-4222222-4-4-4-1-1222-1-100000000000000000000000000000
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
χ508-88-4-404-84-4-42-2440002-200000000000000000000000000000000008-88-4-404-84-4-42-2440002-20000000000000000000000000000000000
χ518-8-48-40-844-42-444-20002-200000000000000000000000000000000008-8-48-40-844-42-444-20002-20000000000000000000000000000000000
χ528-8-4-48044-82-4-44-240002-200000000000000000000000000000000008-8-4-48044-82-4-44-240002-20000000000000000000000000000000000
χ538-8-4-4-40444222-2-2-2000-1100033−33000000000000000000000000000008-8-4-4-40444222-2-2-2000-1100033−3300000000000000000000000000000
χ548-8-4-4-40444222-2-2-2000-11000−3333000000000000000000000000000008-8-4-4-40444222-2-2-2000-11000−333300000000000000000000000000000
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
χ56111111111111111111111111111-111111111111-11-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11111111
χ5711111111111111111111111111-1111-1-1-1-1-1-11111-11-1-111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11-111-1-11-11-1-1111
χ5811111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1111111111-111-1-1-1
χ591111111111111111111111111-111-1-111-1-1-1-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-111-111-1-11
χ601111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-111-1-1-11-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111111-11-1-1111-11-1-111-1
χ611111111111111111111111111-1-11-1-1-1-11111-1-1-11-11-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111-11-111-1-1-1111111-1
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
χ6322222-2222222222-2-2-222-2-2-2-2-200000002-2-2-2000000000020000000-2-2-2-2-22-2-2-2-2-2-2-2-2-2222-2-2222220000000-22220000000000-20000000
χ6422222-2222222222-2-2-222-2-2-2-2-20000000-22220000000000-20000000-2-2-2-2-22-2-2-2-2-2-2-2-2-2222-2-22222200000002-2-2-2000000000020000000
χ652222-1222-12-1-1-12-1-122-1-1-12-1-1-1220-1-1-1-122-1-12-1-1020-1-100-10000000-2-2-2-21-2-2-21-2111-211-2-2111-2111-2-201111-2-211-2110-20110010000000
χ662222-1222-12-1-1-12-1-122-1-1-12-1-1-12-20-1-111-2-2112-1-10-20110010000000-2-2-2-21-2-2-21-2111-211-2-2111-2111-22011-1-122-1-1-211020-1-100-10000000
χ672222-1222-12-1-1-12-1-122-1-1-12-1-1-1-22011-1-1-2-211-211020-1-10010000000-2-2-2-21-2-2-21-2111-211-2-2111-21112-20-1-11122-1-12-1-10-201100-10000000
χ682222-1222-12-1-1-12-1-122-1-1-12-1-1-1-2-20111122-1-1-2110-201100-10000000-2-2-2-21-2-2-21-2111-211-2-2111-2111220-1-1-1-1-2-2112-1-1020-1-10010000000
χ692222-1-222-12-1-1-12-11-2-2-1-11-2111000−i3i3−i3i32-2110−i3i3000−i3i300-10000000-2-2-2-212-2-21-2111-21-12211-12-1-1-1000i3−i3i3−i3-22-1-10i3−i3000i3−i30010000000
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χ712222-1-222-12-1-1-12-11-2-2-1-11-2111000i3−i3−i3i3-22-1-10i3−i3000−i3i30010000000-2-2-2-212-2-21-2111-21-12211-12-1-1-1000−i3i3i3−i32-2110−i3i3000i3−i300-10000000
χ722222-1-222-12-1-1-12-11-2-2-1-11-2111000i3−i3i3−i32-2110i3−i3000i3−i300-10000000-2-2-2-212-2-21-2111-21-12211-12-1-1-1000−i3i3−i3i3-22-1-10−i3i3000−i3i30010000000
χ73222-122-122-12-1-1-122-12-1-1-1-12-1-120222000000-1-1-1-10200-1-1020-1-1000-2-2-21-2-21-2-21-2111-2-21-21111-211-20-2-2-200000011110-200110-2011000
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χ75222-122-122-12-1-1-122-12-1-1-1-12-1-1-202-2-2000000111-10200-1-10-2011000-2-2-21-2-21-2-21-2111-2-21-21111-21120-222000000-1-1-110-20011020-1-1000
χ76222-122-122-12-1-1-122-12-1-1-1-12-1-1-20-2-2-200000011110-20011020-1-1000-2-2-21-2-21-2-21-2111-2-21-21111-21120222000000-1-1-1-10200-1-10-2011000
χ7722-12222-12-1-122-1-122-1-1-12-1-1-1-1022002200000002-1-1-1-1-1-100200-1-10-2-21-2-2-2-21-211-2-211-2-2111-211110-2-200-2-20000000-211111100-200110
χ7822-12222-12-1-122-1-122-1-1-12-1-1-1-102-200220000000-2-11-1-11100-200110-2-21-2-2-2-21-211-2-211-2-2111-211110-2200-2-2000000021-111-1-100200-1-10
χ7922-12222-12-1-122-1-122-1-1-12-1-1-1-10-2200-2-2000000021-111-1-100-200110-2-21-2-2-2-21-211-2-211-2-2111-2111102-200220000000-2-11-1-11100200-1-10
χ8022-12222-12-1-122-1-122-1-1-12-1-1-1-10-2-200-2-20000000-211111100200-1-10-2-21-2-2-2-21-211-2-211-2-2111-21111022002200000002-1-1-1-1-1-100-200110
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χ84444-2-2-4-24-2-2-211-2-222-411-122-1-1000−2i32i30000000i3−i3000000000000000-4-4-42242-4222-1-122-2-24-1-11-2-2110002i3−2i30000000−i3i3000000000000000
χ85444-2-2-4-24-2-2-211-2-222-411-122-1-10002i3−2i30000000−i3i3000000000000000-4-4-42242-4222-1-122-2-24-1-11-2-211000−2i32i30000000i3−i3000000000000000
χ8644-244-44-24-2-244-2-2-4-42-2-2-4222200000000000000000000000000000-4-42-4-44-42-422-4-42244-2224-2-2-2-200000000000000000000000000000
χ8744-24-244-2-2-21-2-2-21-24-211-2-211104000-2-200000000-20110000000000-4-42-42-4-4222-1222-12-42-1-122-1-1-10-4000220000000020-1-10000000000
χ8844-24-244-2-2-21-2-2-21-24-211-2-21110-4000220000000020-1-10000000000-4-42-42-4-4222-1222-12-42-1-122-1-1-104000-2-200000000-20110000000000
χ8944-24-2-44-2-2-21-2-2-212-421122-1-1-100000−2i32i30000000000i3−i30000000000-4-42-424-4222-1222-1-24-2-1-1-2-2111000002i3−2i30000000000−i3i30000000000
χ9044-24-2-44-2-2-21-2-2-212-421122-1-1-1000002i3−2i30000000000−i3i30000000000-4-42-424-4222-1222-1-24-2-1-1-2-211100000−2i32i30000000000i3−i30000000000
χ9144-2-244-2-241-2-2-21-24-2-211-21-21100400000000000-20-2001100000000-4-422-4-422-4-1222-12-422-1-12-12-1-100-40000000000020200-1-100000000
χ9244-2-244-2-241-2-2-21-24-2-211-21-21100-40000000000020200-1-100000000-4-422-4-422-4-1222-12-422-1-12-12-1-100400000000000-20-2001100000000
χ9344-2-24-4-2-241-2-2-21-2-422112-12-1-100000000000000000003-300000000-4-422-4422-4-1222-124-2-2-1-1-21-2110000000000000000000-3300000000
χ9444-2-24-4-2-241-2-2-21-2-422112-12-1-10000000000000000000-3300000000-4-422-4422-4-1222-124-2-2-1-1-21-21100000000000000000003-300000000
χ954-44440-4-4-4444-4-4-40004-40000000000000000000000000000000000-44-4-4-40444-4-4-4444000-440000000000000000000000000000000000
χ964-444-20-4-424-2-22-42000-220000000000000023−23000000000000000000-44-4-42044-2-422-24-20002-200000000000000−2323000000000000000000
χ974-444-20-4-424-2-22-42000-2200000000000000−2323000000000000000000-44-4-42044-2-422-24-20002-20000000000000023−23000000000000000000
χ984-44-2402-4-4-24-222-4000-22000000000000000000000000000006−6000-44-42-40-2442-42-2-240002-200000000000000000000000000000−66000
χ994-44-2402-4-4-24-222-4000-2200000000000000000000000000000−66000-44-42-40-2442-42-2-240002-2000000000000000000000000000006−6000
χ1004-4-2440-42-4-2-24-422000-220000000000000000000000000000000i6−i60-442-4-404-2422-44-2-20002-20000000000000000000000000000000−i6i60
χ1014-4-2440-42-4-2-24-422000-220000000000000000000000000000000−i6i60-442-4-404-2422-44-2-20002-20000000000000000000000000000000i6−i60
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
χ1048-88-4-404-84-4-42-2440002-20000000000000000000000000000000000-88-8440-48-444-22-4-4000-220000000000000000000000000000000000
χ1058-8-48-40-844-42-444-20002-20000000000000000000000000000000000-884-8408-4-44-24-4-42000-220000000000000000000000000000000000
χ1068-8-4-48044-82-4-44-240002-20000000000000000000000000000000000-8844-80-4-48-244-42-4000-220000000000000000000000000000000000
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).