Finite Group Databasebeta

← Group #13172006

Character table — Group #13172006

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order122233366666666623336666666666622443666666666666666244466666612121212121212121212441212121266666121212121212121212121244444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-1111-1-1111111-1-11111111111-111-1-111-1111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-11-11-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-1-1-1-1-1-1-11-11-1-111-1-11-111
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1111-11-1-1111111-1-11-11-1-111-1-11-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-11-11-111-1-1-1-1-1111
χ71111111111111111111111111111111-1-1-1-111111111111111111-11-1-1-111-1-1-1-1-1-111-1-1-1-11111111-1-111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-111-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-111-1-1-1-1111111111111-111-1-1-1-11-1-111-1-111-11-1-1111-1-1-1-11-1-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-111-1-1-1-11111-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-11111111-1-1111111-1-11-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-11-11111-1-1-1-1111-1-1111111-1-1-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-111-1-1-1-111111-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111111-1-11111-111-1-111-1-1-11-1-1111-1-1-1-11-11-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-111111-1-11111-1-111-1-1-111-1-1-11-11
χ17222222-1-12222-1-12222-1-1222-1-1-1-122-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-120222222-1-12200-1-10000000000-1-1-1-1-10-12-1-10000-1-102020-1-100000-100
χ18222222-1-12222-1-12222-1-1222-1-1-1-122-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-1-20-2222-2-2-1-122001100000000001-1-1110-1-2-1-10000110-20-201100000100
χ19222222-1-12222-1-12222-1-1222-1-1-1-122-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1202-2-2-22211-2-200-1-10000000000-111-1-1012110000-1-10-20-201100000100
χ20222222-1-12222-1-12222-1-1222-1-1-1-122-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2-211-2-2001100000000001111101-21100001102020-1-100000-100
χ21222222-1-12222-1-122-22-1-1-2-22-1-1-1-122-1-12200-1-21-2-21111-1-1-1111120-2-22222-1-1-2-200110000000000-1-1-1-1-101-2110000110-20201100000-100
χ22222222-1-12222-1-122-22-1-1-2-22-1-1-1-122-1-12200-1-21-2-21111-1-1-11111-202-222-2-2-1-1-2-200-1-100000000001-1-111012110000-1-1020-20-1-100000100
χ23222222-1-12222-1-122-22-1-1-2-22-1-1-1-122-1-1-2-200-1-21-2-21111-1-1-1111120-22-2-222112200110000000000-111-1-10-1-2-1-1000011020-20-1-100000100
χ24222222-1-12222-1-122-22-1-1-2-22-1-1-1-122-1-1-2-200-1-21-2-21111-1-1-11111-2022-2-2-2-2112200-1-10000000000111110-12-1-10000-1-10-20201100000-100
χ2522222-12222-1-122-122-12-122-122-1-1-1-12-10022-1-12-1-122-1-1-1-1-1-1-1-1-1222000-1-100002222-1-122000000200-1-1-10-100-1-1-1-1-1-10020200-1-100-1000
χ2622222-12222-1-122-122-12-122-122-1-1-1-12-10022-1-12-1-122-1-1-1-1-1-1-1-1-1-22-200011000022-2-2-1-122000000-20011-10100-1-1-1-11100-20-20011001000
χ2722222-12222-1-122-122-12-122-122-1-1-1-12-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-12-22000-1-10000-2-22211-2-2000000200-1-110-1001111-1-100-20-20011001000
χ2822222-12222-1-122-122-12-122-122-1-1-1-12-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2-2000110000-2-2-2-211-2-2000000-20011101001111110020200-1-100-1000
χ2922222-12222-1-122-12-2-12-1-2-2-122-1-1-1-12-10022-11-211-2-211-1-1-111112-2-2000-1-10000-2-2-2-2-1-122000000200-1-110100-1-111110020-200-1-1001000
χ3022222-12222-1-122-12-2-12-1-2-2-122-1-1-1-12-10022-11-211-2-211-1-1-11111-2-22000110000-2-222-1-122000000-2001110-100-1-111-1-100-202001100-1000
χ3122222-12222-1-122-12-2-12-1-2-2-122-1-1-1-12-100-2-2-11-211-2-211-1-1-1111122-2000-1-1000022-2-211-2-2000000200-1-1-1010011-1-11100-202001100-1000
χ3222222-12222-1-122-12-2-12-1-2-2-122-1-1-1-12-100-2-2-11-211-2-211-1-1-11111-222000110000222211-2-2000000-20011-10-10011-1-1-1-10020-200-1-1001000
χ332222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-122222-122-1-1-1-122-1-1-1-1-1-1-10202-1-10022-1-1-1-10022-1-122-1-1-1-10-1-100220-1-1-1-1-1-100200000000-1-10000
χ342222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-10-202-1-10022-1-11100-2-211-2-211110-1-100-220-1-1111100-200000000110000
χ352222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-1020-21100-2-211-1-10022-1-1-2-21111011002-2011-1-1-1-100-200000000110000
χ362222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-10-20-21100-2-2111100-2-21122-1-1-1-101100-2-2011111100200000000-1-10000
χ372222-1222-1-122222-1-2-1-1211-1-1-122-1-1-122222-1-2-21111-2-2-1-1-111110-20-2-1-1002211110022-1-122-1-1-1-10-1-100-2-2011-1-11100-200000000110000
χ382222-1222-1-122222-1-2-1-1211-1-1-122-1-1-1222-2-2-1-2-21111-2-2-1-1-11111020-2-1-1002211-1-100-2-211-2-211110-1-1002-201111-1-100200000000-1-10000
χ392222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-2-222-1-2-21111-2-2-1-1-111110-2021100-2-2-1-1110022-1-1-2-2111101100-220-1-1-1-11100200000000-1-10000
χ402222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-1111102021100-2-2-1-1-1-100-2-21122-1-1-1-101100220-1-111-1-100-200000000110000
χ412-2-22222-22-2-222-2-2-20222002-2-22-2-2-22-22-22i−2i2000000002-2-2000000002-2002-20000002i−2i2i−2i2i−2i2i2i−2i−2i02-200000002i−2i0000000000000000000
χ422-2-22222-22-2-222-2-2-20222002-2-22-2-2-22-22-2−2i2i2000000002-2-2000000002-2002-2000000−2i2i−2i2i−2i2i−2i−2i2i2i02-20000000−2i2i0000000000000000000
χ432-2-22222-22-2-222-2-2-20222002-2-22-2-2-22-2-222i−2i2000000002-2-200000000-2200-220000002i−2i2i−2i−2i2i−2i−2i2i2i0-2200000002i−2i0000000000000000000
χ442-2-22222-22-2-222-2-2-20222002-2-22-2-2-22-2-22−2i2i2000000002-2-200000000-2200-22000000−2i2i−2i2i2i−2i2i2i−2i−2i0-220000000−2i2i0000000000000000000
χ452-2-22-122-2-11-222-2-210-1-12−i3i3-1112-211-1-22-22i−2i-100−i3i3−i3i300-111−i3−i3i3i30000-11002-2−i3i33−3002i−2i−ii2i−2i−i−iii0-1100000−i3i3−ii3−3000000000003−30000
χ462-2-22-122-2-11-222-2-210-1-12−i3i3-1112-211-1-22-2−2i2i-100−i3i3−i3i300-111−i3−i3i3i30000-11002-2−i3i3−3300−2i2ii−i−2i2iii−i−i0-1100000−i3i3i−i−3300000000000−330000
χ472-2-22-122-2-11-222-2-210-1-12−i3i3-1112-211-1-2-222i−2i-100−i3i3−i3i300-111−i3−i3i3i300001-100-22i3−i33−3002i−2i−ii−2i2iii−i−i01-100000i3−i3−ii3−300000000000−330000
χ482-2-22-122-2-11-222-2-210-1-12−i3i3-1112-211-1-2-22−2i2i-100−i3i3−i3i300-111−i3−i3i3i300001-100-22i3−i3−3300−2i2ii−i2i−2i−i−iii01-100000i3−i3i−i−33000000000003−30000
χ492-2-22-122-2-11-222-2-210-1-12i3−i3-1112-211-1-22-22i−2i-100i3−i3i3−i300-111i3i3−i3−i30000-11002-2i3−i3−33002i−2i−ii2i−2i−i−iii0-1100000i3−i3−ii−3300000000000−330000
χ502-2-22-122-2-11-222-2-210-1-12i3−i3-1112-211-1-22-2−2i2i-100i3−i3i3−i300-111i3i3−i3−i30000-11002-2i3−i33−300−2i2ii−i−2i2iii−i−i0-1100000i3−i3i−i3−3000000000003−30000
χ512-2-22-122-2-11-222-2-210-1-12i3−i3-1112-211-1-2-222i−2i-100i3−i3i3−i300-111i3i3−i3−i300001-100-22−i3i3−33002i−2i−ii−2i2iii−i−i01-100000−i3i3−ii−33000000000003−30000
χ522-2-22-122-2-11-222-2-210-1-12i3−i3-1112-211-1-2-22−2i2i-100i3−i3i3−i300-111i3i3−i3−i300001-100-22−i3i33−300−2i2ii−i2i−2i−i−iii01-100000−i3i3i−i3−300000000000−330000
χ5344444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-2111111111404000-2-2000000-2-20000000000-2001100-200000011000000000000000
χ5444444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-2111111111-40-400022000000220000000000200-1-1002000000-1-1000000000000000
χ5544444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-140-4000-2-2000000220000000000-20011002000000-1-1000000000000000
χ5644444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-1-40400022000000-2-20000000000200-1-100-200000011000000000000000
χ574444-24-2-2-2-244-2-24-24-21-2-2-2-211-2-2-2-21-2440014-2-2-211-2-211111110004-2-200-2-2-2-200000000000000011000-2011000000000000000000000
χ584444-24-2-2-2-244-2-24-24-21-2-2-2-211-2-2-2-21-2-4-40014-2-2-211-2-21111111000-422002222000000000000000-1-100020-1-1000000000000000000000
χ594444-24-2-2-2-244-2-24-2-4-21-222-211-2-2-2-21-244001-4222-1-122111-1-1-1-1000-4-2-200-2-2220000000000000001100020-1-1000000000000000000000
χ604444-24-2-2-2-244-2-24-2-4-21-222-211-2-2-2-21-2-4-4001-4222-1-122111-1-1-1-10004220022-2-2000000000000000-1-1000-2011000000000000000000000
χ614444-2-244-2-2-2-244-2-241-2-2-2-21-2-2-2-211-2-200441-2411-2-2-2-21111111040000000000-2-200-2-2-2-200000000000-20000111100000000000000000
χ624444-2-244-2-2-2-244-2-241-2-2-2-21-2-2-2-211-2-200-4-41-2411-2-2-2-211111110-40000000000220022220000000000020000-1-1-1-100000000000000000
χ634444-2-244-2-2-2-244-2-2-41-2-2221-2-2-2-211-2-2004412-4-1-12222111-1-1-1-10-400000000002200-2-2-2-2000000000002000011-1-100000000000000000
χ644444-2-244-2-2-2-244-2-2-41-2-2221-2-2-2-211-2-200-4-412-4-1-12222111-1-1-1-1040000000000-2-200222200000000000-20000-1-11100000000000000000
χ6544-4-44444-444-4-4-4-4-4044400-44-4-444-4-4-40000400000000-44-40000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-2-2-444-422-4-404-2-200-4-222-24-4220000-2000000002-2200000000000000000000000000000000000000000000000000023−2300000000
χ6744-4-444-2-2-444-422-4-404-2-200-4-222-24-4220000-2000000002-22000000000000000000000000000000000000000000000000000−232300000000
χ6844-4-44-244-44-22-4-42-40-24-20024-42-2-22-420000-2000000002-220000000000000000000000000000000000000000000000000000023−23000000
χ6944-4-44-244-44-22-4-42-40-24-20024-42-2-22-420000-2000000002-2200000000000000000000000000000000000000000000000000000−2323000000
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χ734-44-444-22-4-4-4-42-24404-2-200-42-222-442-20000-20000000022-2000000000000000000−2i32i3000000000000000000000000−2i32i3000000000000000
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χ764-44-44-24-4-4-422-44-240-24-2002-44222-2-4-20000-20000000022-200000000002i3−2i30000000000000000000002i3−2i300000000000000000000000000
χ774-44-44-2-22-4-4222-2-240-2-210022-2-1-12-221000010000003-3-1-113-33-3000000−2i32i3000000−2i32i30000000000000i3−i3000000000i3−i3000000000000000
χ784-44-44-2-22-4-4222-2-240-2-210022-2-1-12-221000010000003-3-1-113-33-30000002i3−2i30000002i3−2i30000000000000−i3i3000000000−i3i3000000000000000
χ794-44-44-2-22-4-4222-2-240-2-210022-2-1-12-22100001000000-33-1-11-33-33000000−2i32i30000002i3−2i30000000000000i3−i3000000000−i3i3000000000000000
χ804-44-44-2-22-4-4222-2-240-2-210022-2-1-12-22100001000000-33-1-11-33-330000002i3−2i3000000−2i32i30000000000000−i3i3000000000i3−i3000000000000000
χ814-44-4-244-422-4-4-444-20-2-240022-2-4-42-2240000-20000000022-200000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ824-44-4-244-422-4-4-444-20-2-240022-2-4-42-2240000-20000000022-2000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ834-4-4444-224-4-44-22-4-404-2-200422-22-4-4-224-400-200000000-222000000004-400-2200000000000000000-220000000000000000000000000000
χ844-4-4444-224-4-44-22-4-404-2-200422-22-4-4-22-4400-200000000-22200000000-44002-2000000000000000002-20000000000000000000000000000
χ854-4-444-24-44-42-24-42-40-24-200-2-4-4-222242004i−4i-200000000-22200000000000000000000−2i2i4i−4i0000000000000000−2i2i0000000000000000000
χ864-4-444-24-44-42-24-42-40-24-200-2-4-4-22224200−4i4i-200000000-222000000000000000000002i−2i−4i4i00000000000000002i−2i0000000000000000000
χ874-4-44-24-22-22-44-22-420-21-2−2i32i3-2-1-1-2222124-400100−2i32i3i3−i3001-1-1i3i3−i3−i30000-2200-22−2i32i30000000000000001-100000i3−i3000000000000000000000
χ884-4-44-24-22-22-44-22-420-21-2−2i32i3-2-1-1-222212-4400100−2i32i3i3−i3001-1-1i3i3−i3−i300002-2002-22i3−2i3000000000000000-1100000−i3i3000000000000000000000
χ894-4-44-24-22-22-44-22-420-21-22i3−2i3-2-1-1-2222124-4001002i3−2i3−i3i3001-1-1−i3−i3i3i30000-2200-222i3−2i30000000000000001-100000−i3i3000000000000000000000
χ904-4-44-24-22-22-44-22-420-21-22i3−2i3-2-1-1-222212-44001002i3−2i3−i3i3001-1-1−i3−i3i3i300002-2002-2−2i32i3000000000000000-1100000i3−i3000000000000000000000
χ914-4-44-2-24-4-222-24-42201-2-2−2i32i3122-22-1-1-22004i−4i100i3−i3−2i32i3001-1-1i3i3−i3−i300000000000023−2300−2i2i−2i2i0000000000000000i−i−3300000000000000000
χ924-4-44-2-24-4-222-24-42201-2-2−2i32i3122-22-1-1-2200−4i4i100i3−i3−2i32i3001-1-1i3i3−i3−i3000000000000−2323002i−2i2i−2i0000000000000000−ii3−300000000000000000
χ934-4-44-2-24-4-222-24-42201-2-22i3−2i3122-22-1-1-22004i−4i100−i3i32i3−2i3001-1-1−i3−i3i3i3000000000000−232300−2i2i−2i2i0000000000000000i−i3−300000000000000000
χ944-4-44-2-24-4-222-24-42201-2-22i3−2i3122-22-1-1-2200−4i4i100−i3i32i3−2i3001-1-1−i3−i3i3i300000000000023−23002i−2i2i−2i0000000000000000−ii−3300000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-4-4-88-44444-80-4-42004-44-22-444-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4-44-48-844-840-42-40042-24-4-44-240000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4884-4-44-8-84402-4-400-2-444-42-2440000200000000-22-20000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44-4-444444022200-22-2-222-2-2-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-44-4-444444022200-22-2-222-2-2-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-4444-8-84-48-40-42-4004-22444-4-2-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-48-84444-88-4-402-4-400-24-444-224-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4444444-4-4-4022200-2-22-2-2-22-220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4444444-4-4-4022200-2-22-2-2-22-220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000
χ1068-8-888-4-448-84-4-444-80-4-4200-4442-244-4-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-444-4-44440222−4i34i32-2-22-2-2-22-20000-1002i3−2i32i3−2i300-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-444-4-444402224i3−4i32-2-22-2-2-22-20000-100−2i32i3−2i32i300-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000

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