Finite Group Databasebeta

← Group #13172229

Character table — Group #13172229

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666662333666666666666666664444441212121236666666666664441212121212121212121212121212121212121212121244441212121212121212121212124444121212121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111-1-111111111111111111111-1-11-1-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-11111111111111111111111-111111-1-1-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-11-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-11111-1-1-1-1111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-11-11111-1-1-1-1-1-111-11
χ101111111111111111-1111-1-1-1-11111-1-1-1-1111111111-1-111111-1-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-11-111-1-1-1-111-111-111-1-11111-1-11-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-11-1111-1-111-1-111-1-1-1-111-1-1111-11-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-11-111-1-1-1-111-1-1-11-1-11111-1-1-11-11
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-11-1-1111111-11-1-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11-11-1-1-111-1-11111-1-1-1-111-1-1-1-11-111
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-11-1-11111-1-1-111-111-1-111-1-1-1-111
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1111-11111-1-1-1-11111-1-1
χ17222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-122-1-1220000000000000022-1-122-1-1-1-1-1-1-1-120000000-1-100-1000
χ18222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2001122-1-12200000000000000-2-2-11-2-2-1-1-1-11111-2000000011001000
χ19222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2200-1-1-2-211-2-200000000000000-2-21-1221111-1-1-1-1-2000000011001000
χ20222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-211-2-2000000000000002211-2-21111111120000000-1-100-1000
χ21222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-122200000000-111111-1-1-111112-2-2001122-1-1-2-200000000000000-2-21-1-22-1-111-1-111200000001100-1000
χ22222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-122200000000-111111-1-1-11111-2-2200-1-122-1-1-2-20000000000000022112-2-1-11111-1-1-20000000-1-1001000
χ23222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-12-2-200000000-111111-1-1-1111122-20011-2-211220000000000000022-1-1-2211-1-1-1-111-20000000-1-1001000
χ24222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-12-2-200000000-111111-1-1-11111-22200-1-1-2-2112200000000000000-2-2-112-211-1-111-1-1200000001100-1000
χ2522222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1020-1-100-1-122-1-12222-1-1-1-1-1-1-1-122002000-1-1-1-100000020-1-1-1-100000000
χ2622222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-122-2-2-2-21111-1222-1-1-1-1-1-1-1-1-10201100-1-122-1-1-2-2-2-211111111-2-2002000-1-1-1-1000000-20111100000000
χ2722222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-22222-1-1-1-1-1222-1-1-1-1-1-1-1-1-10-20-1-10011-2-2112222-1-1-1-1-1-1-1-1-2-200-20001111000000-20111100000000
χ2822222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-10-20110011-2-211-2-2-2-2111111112200-2000111100000020-1-1-1-100000000
χ2922222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-12222-2-2-1-1-1-1-1-2-2-211-1-1-111110-201100-1-1221122-2-2-1-1-1-11111-2-200-2000-1-11100000020-1-11100000000
χ3022222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-122-2-2221111-1-2-2-211-1-1-111110-20-1-100-1-12211-2-2221111-1-1-1-12200-2000-1-111000000-2011-1-100000000
χ3122222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-1-2-222-2-2-1-1-1-1-1-2-2-211-1-1-11111020110011-2-2-1-122-2-2-1-1-1-111112200200011-1-1000000-2011-1-100000000
χ3222222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-1-2-2-2-2221111-1-2-2-211-1-1-11111020-1-10011-2-2-1-1-2-2221111-1-1-1-1-2-200200011-1-100000020-1-11100000000
χ332222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-10022222222-12-1-122-1-1-1-1-1-1-12022222000000-1-1-1-1-1-1-1-1-1-1-1-1000002-1-10000-1-1-1-10202000000000-1-10
χ342222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-10022222222-12-1-122-1-1-1-1-1-1-1-20-222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-100000-211000011110-20-2000000000110
χ352222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100-2-2-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-1202-2-222000000111111111111000002-1-10000-1-1-1-10-20-2000000000110
χ362222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-100-2-2-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-1-20-2-2-2-2-200000011111111111100000-211000011110202000000000-1-10
χ372222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-10022-2-22222-1-211-2-2-1-1-1111120-2-2-2-2-2000000-1-111-1-1-1-111110000021-10000-1-1110-202000000000-110
χ382222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-10022-2-22222-1-211-2-2-1-1-11111-202-2-222000000-1-111-1-1-1-1111100000-2-11000011-1-1020-20000000001-10
χ392222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-100-2-222-2-2-2-2-1-211-2-2-1-1-1111120-222-2-200000011-1-11111-1-1-1-10000021-10000-1-111020-20000000001-10
χ402222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-100-2-222-2-2-2-2-1-211-2-2-1-1-11111-202222200000011-1-11111-1-1-1-100000-2-11000011-1-10-202000000000-110
χ412-22-2222-22-2-2-2-22-2202220000-2-2-2200002-2-2-222i−2i002-200002000002-2-200000002-2002i−2i2i−2i00002-2000022-2-22i−2i0000002i−2i0000000000002i−2i00000000
χ422-22-2222-22-2-2-2-22-2202220000-2-2-2200002-2-2-222i−2i00-2200002000002-2-20000000-22002i−2i2i−2i0000-220000-2-222−2i2i0000002i−2i000000000000−2i2i00000000
χ432-22-2222-22-2-2-2-22-2202220000-2-2-2200002-2-2-22−2i2i002-200002000002-2-200000002-200−2i2i−2i2i00002-2000022-2-2−2i2i000000−2i2i000000000000−2i2i00000000
χ442-22-2222-22-2-2-2-22-2202220000-2-2-2200002-2-2-22−2i2i00-2200002000002-2-20000000-2200−2i2i−2i2i0000-220000-2-2222i−2i000000−2i2i0000000000002i−2i00000000
χ452-22-22-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-12i−2i002-2−i3−i3i3i3-1000−i3i3-111−i3−i3i3i3000-1100−ii2i−2i3−3002-2−i3−i3i3i3-1-1112i−2i000000−ii3−3000000003−3−ii00000000
χ462-22-22-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-12i−2i00-22i3i3−i3−i3-1000−i3i3-111−i3−i3i3i30001-100−ii2i−2i3−300-22i3i3−i3−i311-1-1−2i2i000000−ii3−300000000−33i−i00000000
χ472-22-22-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-1−2i2i002-2−i3−i3i3i3-1000−i3i3-111−i3−i3i3i3000-1100i−i−2i2i−33002-2−i3−i3i3i3-1-111−2i2i000000i−i−3300000000−33i−i00000000
χ482-22-22-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-1−2i2i00-22i3i3−i3−i3-1000−i3i3-111−i3−i3i3i30001-100i−i−2i2i−3300-22i3i3−i3−i311-1-12i−2i000000i−i−33000000003−3−ii00000000
χ492-22-22-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-12i−2i002-2i3i3−i3−i3-1000i3−i3-111i3i3−i3−i3000-1100−ii2i−2i−33002-2i3i3−i3−i3-1-1112i−2i000000−ii−3300000000−33−ii00000000
χ502-22-22-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-12i−2i00-22−i3−i3i3i3-1000i3−i3-111i3i3−i3−i30001-100−ii2i−2i−3300-22−i3−i3i3i311-1-1−2i2i000000−ii−33000000003−3i−i00000000
χ512-22-22-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-1−2i2i002-2i3i3−i3−i3-1000i3−i3-111i3i3−i3−i3000-1100i−i−2i2i3−3002-2i3i3−i3−i3-1-111−2i2i000000i−i3−3000000003−3i−i00000000
χ522-22-22-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-1−2i2i00-22−i3−i3i3i3-1000i3−i3-111i3i3−i3−i30001-100i−i−2i2i3−300-22−i3−i3i3i311-1-12i−2i000000i−i3−300000000−33−ii00000000
χ532-2-22222-2-2222-2-2-2-2022200002-2-2-20000-222-2-2002i−2i002i−2i2i−2i200000-22-2000000000000000002i−2i002i−2i2i−2i0000002i−2i000000000000000000002i−2i2-20000
χ542-2-22222-2-2222-2-2-2-2022200002-2-2-20000-222-2-2002i−2i002i−2i2i−2i200000-22-2000000000000000002i−2i002i−2i2i−2i000000−2i2i00000000000000000000−2i2i-220000
χ552-2-22222-2-2222-2-2-2-2022200002-2-2-20000-222-2-200−2i2i00−2i2i−2i2i200000-22-200000000000000000−2i2i00−2i2i−2i2i0000002i−2i000000000000000000002i−2i-220000
χ562-2-22222-2-2222-2-2-2-2022200002-2-2-20000-222-2-200−2i2i00−2i2i−2i2i200000-22-200000000000000000−2i2i00−2i2i−2i2i000000−2i2i00000000000000000000−2i2i2-20000
χ5744444-2-24-2-24-2-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-244000000001-2-2-21111111110400000-2-2-2-2-2-20000000000000000-2000111100000000000000000000
χ5844444-2-24-2-24-2-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-2-4-4000000001-2-2-21111111110-40000022222200000000000000002000-1-1-1-100000000000000000000
χ5944444-2-24-2-24-2-2-2-24-4-2-21-4-422-2-2-212222-2-211-244000000001222-1-1111-1-1-1-10-400000-2-2-2-2220000000000000000200011-1-100000000000000000000
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χ664444-2-24-2-24-2-2-244-241-2-2-2-2-2-211-2-21111-2-2-2-2100-4-4-4-4222214-2-2-2-2111111100022000000002222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-24-2-24-2-2-244-2-41-2-2222211-2-2-1-1-1-1-2-2-2-210044-4-4-2-2-2-21-42222111-1-1-1-10002200000000-2-2221111-1-1-1-100000000000000000000000000000000
χ684444-2-24-2-24-2-2-244-2-41-2-2222211-2-2-1-1-1-1-2-2-2-2100-4-44422221-42222111-1-1-1-1000-2-20000000022-2-2-1-1-1-1111100000000000000000000000000000000
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χ7544-4-4-244-2-4-42-44-4420-2-242i3−2i3002-2-2-42i3−2i32i3−2i322-4420000000000-202i3−2i30022-22i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ7644-4-4-24-2-2-422-442-220-21-2−2i32i3002-212−2i32i3−2i32i3-1-12-22000000000010i3−i300-1-11i3−i3i3−i30000023−230000000000000000000000000000003i−3i−330000000000000000
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χ904-44-4-24424-42-4-44-4-20-2-24000022240000-22-4-4-200004-40000-200000-22200000004-40000000000-220000-2-22200000000000000000000000000000000
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χ1178-8-88-4-4-444-4-4-44444022200002-2-2-2-666-6-222-2-20000000000-1000001-113-3-33000000000000000000000000000000000000000000000000000000000

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