Finite Group Databasebeta

← Group #13169367

Character table — Group #13169367

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212444444121212123666121212121212121212444121212121212121212121212121212121212121212124444121212121212121212121212244412121212121244612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11-1-1-1-1-11111-1-11-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-11-1-1-1-1-1-11111-11
χ51111111111111111111111111111111111111-1-1111111111111111111111-1111111-1-1-1-111-1-11111111111-1-1-1-111-111111-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111-1-1-1-1-1-11-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1111-1-1-111-1-1-1-11-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1111111-1-111-11-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1111111-1-11-1-11-1-11111-1-1-11-11-1-1-1-11111-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-1-111111111-11-1-111-1-111-1-11-1-1-111-1-111-1-11-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1111-1-1-111-1-111111-1-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-111-111-1-1-1-111-11-11-1-1-1-111-1-1-1111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-111-1-111-1-111-1-1111111-1-1-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111-111-1-1-1-111111-1-1-111-1-1111-11-1
χ17222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-102222-1-10000-1-10022-1-1-1-1-1-1-1-10000-1-102-1-1-1-10000200200000000-1-100
χ18222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-10-2-2-2-2-1-10000-1-10022-1-1-1-1-1-1-1-10000110-211110000-200-2000000001100
χ19222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1022221100001100-2-2111111110000-1-102-1-1-1-10000-200-2000000001100
χ20222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-2-2-21100001100-2-2111111110000110-211110000200200000000-1-100
χ21222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-211110022-2-22222-1-1-1-1-211-2-2111102-2-2-2-1-100001100-2-2-1-1-1-111110000-110211-1-10000200-200000000-1100
χ22222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-211110022-2-22222-1-1-1-1-211-2-211110-2222-1-100001100-2-2-1-1-1-1111100001-10-2-1-1110000-2002000000001-100
χ23222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2111100-2-222-2-2-2-2-1-1-1-1-211-2-2111102-2-2-2110000-1-100221111-1-1-1-10000-110211-1-10000-2002000000001-100
χ24222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2111100-2-222-2-2-2-2-1-1-1-1-211-2-211110-2222110000-1-100221111-1-1-1-100001-10-2-1-1110000200-200000000-1100
χ2522222-122-1222-12-12-12-12-1-1-1222-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100222200-1-10000000000002222-1-1-1-1-1-1-1-1-1-10200-1-100000000-10
χ2622222-122-1222-12-12-12-12-1-1-1222-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-21100222200-1-1000000000000-2-2-2-2-111111-1-1-1-10-200110000000010
χ2722222-122-1222-12-12-12-12-1-1-1222-1-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-1-100-2-2-2-20011000000000000-2-2221-1-1-1-1-111110-200110000000010
χ2822222-122-1222-12-12-12-12-1-1-1222-1-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21100-2-2-2-2001100000000000022-2-211111111110200-1-100000000-10
χ2922222-122-1222-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-22-2110022-2-200-1-1000000000000-2-22-21-111-1-1-1-11102001100000000-10
χ3022222-122-1222-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-2-22-1-10022-2-200-1-100000000000022-2211-1-111-1-1110-200-1-10000000010
χ3122222-122-1222-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111122-21100-2-2220011000000000000222-2-1-111-1-111-1-10-200-1-10000000010
χ3222222-122-1222-12-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111112-22-1-100-2-2220011000000000000-2-2-22-11-1-11111-1-102001100000000-10
χ332222-122-1222-1222-1-1-122-1-12-1-1-122-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-12000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1220000200000-1-1-1-1002000-1-1-1-1000000
χ342222-122-1222-1222-1-1-122-1-12-1-1-122-122-1-1-1-1-1-122-2-2-2-21111-1-1-1-1222-1-1-1-1-1-120000-2-2-1-1-1-1-2-2221111111111-2-20000200000-1-1-1-100-20001111000000
χ352222-122-1222-1222-1-1-122-1-12-1-1-122-122-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2000022111122-2-2-1-1-1-1-1-1-1-1-1-1-2-20000-200000111100-20001111000000
χ362222-122-1222-1222-1-1-122-1-12-1-1-122-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-20000-2-21111-2-2-2-21111111111220000-2000001111002000-1-1-1-1000000
χ372222-122-1222-1222-1-1-12-2-1-12-1-1-122-1-2-21111112222-2-2-1-1-1-1-1-1-1-1-2-2-2111111-2000022-1-111-2-22211-1-1-1-11111-2-20000-200000-1-111002000-1-111000000
χ382222-122-1222-1222-1-1-12-2-1-12-1-1-122-1-2-211111122-2-2221111-1-1-1-1-2-2-2111111-20000-2-2-1-1112222-1-11111-1-1-1-1220000-200000-1-11100-200011-1-1000000
χ392222-122-1222-1222-1-1-12-2-1-12-1-1-122-1-2-2111111-2-222-2-2-1-1-1-1-1-1-1-1-2-2-2111111200002211-1-1-2-2-2-211-1-1-1-1111122000020000011-1-100-200011-1-1000000
χ402222-122-1222-1222-1-1-12-2-1-12-1-1-122-1-2-2111111-2-2-2-2221111-1-1-1-1-2-2-211111120000-2-211-1-122-2-2-1-11111-1-1-1-1-2-2000020000011-1-1002000-1-111000000
χ4122-2-2222-2-22-22-2-22-22220-2-2-22-2-2-222000000002-2002i−2i00002-2-2200000000000000002-2002i−2i2-22i−2i00002i2i−2i−2i2i−2i00000000002-200000000002i−2i000000
χ4222-2-2222-2-22-22-2-22-22220-2-2-22-2-2-222000000002-200−2i2i00002-2-2200000000000000002-200−2i2i2-2−2i2i0000−2i−2i2i2i−2i2i00000000002-20000000000−2i2i000000
χ4322-2-2222-2-22-22-2-22-22220-2-2-22-2-2-22200000000-22002i−2i00002-2-220000000000000000-22002i−2i-222i−2i00002i2i−2i−2i−2i2i0000000000-220000000000−2i2i000000
χ4422-2-2222-2-22-22-2-22-22220-2-2-22-2-2-22200000000-2200−2i2i00002-2-220000000000000000-2200−2i2i-22−2i2i0000−2i−2i2i2i2i−2i0000000000-2200000000002i−2i000000
χ4522-2-2-1221-22-2-1-2-221-1-12011-2-111-22-100−i3i3−i3−i3i3i32-2002i−2i33−3−3-111-1000−i3i3−i3−i3i3i30000000-11−i3i32i−2i2-2−ii33−3−3−i−iii2i−2i0000000000-11−i3i30000003−3−ii000000
χ4622-2-2-1221-22-2-1-2-221-1-12011-2-111-22-100−i3i3−i3−i3i3i32-200−2i2i−3−333-111-1000−i3i3−i3−i3i3i30000000-11−i3i3−2i2i2-2i−i−3−333ii−i−i−2i2i0000000000-11−i3i3000000−33i−i000000
χ4722-2-2-1221-22-2-1-2-221-1-12011-2-111-22-100−i3i3−i3−i3i3i3-22002i−2i33−3−3-111-1000−i3i3−i3−i3i3i300000001-1i3−i32i−2i-22−ii33−3−3−i−iii−2i2i00000000001-1i3−i3000000−33i−i000000
χ4822-2-2-1221-22-2-1-2-221-1-12011-2-111-22-100−i3i3−i3−i3i3i3-2200−2i2i−3−333-111-1000−i3i3−i3−i3i3i300000001-1i3−i3−2i2i-22i−i−3−333ii−i−i2i−2i00000000001-1i3−i30000003−3−ii000000
χ4922-2-2-1221-22-2-1-2-221-1-12011-2-111-22-100i3−i3i3i3−i3−i32-2002i−2i−3−333-111-1000i3−i3i3i3−i3−i30000000-11i3−i32i−2i2-2−ii−3−333−i−iii2i−2i0000000000-11i3−i3000000−33−ii000000
χ5022-2-2-1221-22-2-1-2-221-1-12011-2-111-22-100i3−i3i3i3−i3−i32-200−2i2i33−3−3-111-1000i3−i3i3i3−i3−i30000000-11i3−i3−2i2i2-2i−i33−3−3ii−i−i−2i2i0000000000-11i3−i30000003−3i−i000000
χ5122-2-2-1221-22-2-1-2-221-1-12011-2-111-22-100i3−i3i3i3−i3−i3-22002i−2i−3−333-111-1000i3−i3i3i3−i3−i300000001-1−i3i32i−2i-22−ii−3−333−i−iii−2i2i00000000001-1−i3i30000003−3i−i000000
χ5222-2-2-1221-22-2-1-2-221-1-12011-2-111-22-100i3−i3i3i3−i3−i3-2200−2i2i33−3−3-111-1000i3−i3i3i3−i3−i300000001-1−i3i3−2i2i-22i−i33−3−3ii−i−i2i−2i00000000001-1−i3i3000000−33−ii000000
χ532-2-22222-2-2-2-2-222-2222202-22-22-2-2-2-200000000002i−2i002i−2i2i−2i22-2-2000000000000002i−2i00000000002i−2i2i−2i0000002-200000000000000002-200002i−2i0000
χ542-2-22222-2-2-2-2-222-2222202-22-22-2-2-2-200000000002i−2i002i−2i2i−2i22-2-2000000000000002i−2i00000000002i−2i2i−2i000000-220000000000000000-220000−2i2i0000
χ552-2-22222-2-2-2-2-222-2222202-22-22-2-2-2-20000000000−2i2i00−2i2i−2i2i22-2-200000000000000−2i2i0000000000−2i2i−2i2i0000002-200000000000000002-20000−2i2i0000
χ562-2-22222-2-2-2-2-222-2222202-22-22-2-2-2-20000000000−2i2i00−2i2i−2i2i22-2-200000000000000−2i2i0000000000−2i2i−2i2i000000-220000000000000000-2200002i−2i0000
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χ5844444-2-24-2-2-24-2-2-24-2-214-2-21-2-2-211-2-2-244-2-2-2-200000000001111-211-2-211110-4-4220000000000000000000000002202-1-1-1-100000000000000000000
χ5944444-2-24-2-2-24-2-2-24-2-21-4-2-21-2-2-211-222-4-42222000000000011112-1-122-1-1-1-104-422000000000000000000000000-220-2-1-11100000000000000000000
χ6044444-2-24-2-2-24-2-2-24-2-21-4-2-21-2-2-211-222-4-42222000000000011112-1-122-1-1-1-10-44-2-20000000000000000000000002-20211-1-100000000000000000000
χ614444-24-2-24-2-2-24-24-2-21-24-2-2-2111-2-2-2-2-2-2-21111004444-2-2-2-211114-2-2-2-2111100000-2-20000-2-200-2-21111111100000000000000000000000000000000
χ624444-24-2-24-2-2-24-24-2-21-24-2-2-2111-2-2-2-2-2-2-2111100-4-4-4-4222211114-2-2-2-2111100000220000220022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ634444-24-2-24-2-2-24-24-2-21-2-4-2-2-2111-2-2-22222-1-1-1-10044-4-4-2-2-2-21111-42222-1-1-1-100000-2-200002200221111-1-1-1-100000000000000000000000000000000
χ644444-24-2-24-2-2-24-24-2-21-2-4-2-2-2111-2-2-22222-1-1-1-100-4-44422221111-42222-1-1-1-100000220000-2-200-2-2-1-1-1-1111100000000000000000000000000000000
χ654444-2-24-2-244-2-24-2-21-2-2411-2-2-2-2-2-2144-2-2-2-2-2-244000000001111-2-2-21111114000000-2-2-2-200-2-20000000000000000-20000011110000000000000000
χ664444-2-24-2-244-2-24-2-21-2-2411-2-2-2-2-2-2144-2-2-2-2-2-2-4-4000000001111-2-2-2111111-4000000222200220000000000000000200000-1-1-1-10000000000000000
χ674444-2-24-2-244-2-24-2-21-2-2-411-2-2-2-2-2-21-4-422222244000000001111222-1-1-1-1-1-1-4000000-2-22200-2-2000000000000000020000011-1-10000000000000000
χ684444-2-24-2-244-2-24-2-21-2-2-411-2-2-2-2-2-21-4-4222222-4-4000000001111222-1-1-1-1-1-1400000022-2-200220000000000000000-200000-1-1110000000000000000
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χ7244-4-44-24-424-442-4-2-4-24-202224-4-42-2-200000000-4400000000-222-20000000000000000-4400002-200000000000000000000002-2000000000000000000
χ7344-4-4-24-22-4-22-2-4242-21-202221-1-12-2-200−2i32i3i3i3−i3−i300004i−4i2323−23−231-1-11000−2i32i3i3i3−i3−i300000000000−2i2i00−2i2i−3−333ii−i−i00000000000000000000000000000000
χ7444-4-4-24-22-4-22-2-4242-21-202221-1-12-2-200−2i32i3i3i3−i3−i30000−4i4i−23−2323231-1-11000−2i32i3i3i3−i3−i3000000000002i−2i002i−2i33−3−3−i−iii00000000000000000000000000000000
χ7544-4-4-24-22-4-22-2-4242-21-202221-1-12-2-2002i3−2i3−i3−i3i3i300004i−4i−23−2323231-1-110002i3−2i3−i3−i3i3i300000000000−2i2i00−2i2i33−3−3ii−i−i00000000000000000000000000000000
χ7644-4-4-24-22-4-22-2-4242-21-202221-1-12-2-2002i3−2i3−i3−i3i3i30000−4i4i2323−23−231-1-110002i3−2i3−i3−i3i3i3000000000002i−2i002i−2i−3−333−i−iii00000000000000000000000000000000
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χ934-44-4-24-2-242-22-42-42-21-202-22-1-11-22223−2300−33−330000002i3−2i3−2i32i31-11-1023−2300−33−3300000000000000000−i3i3i3−i3−3i3i−3i3i00000000000000000000000000000000
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χ1024-4-44-24-22-42224-2-4-2-21-20-22-2-11-122200003i−3i−3i3i004i−4i00−2i2i−2i2i11-1-1000003i−3i−3i3i00000−2i2i0000000000i−ii−i3-3-3300000000000000000000000000000000
χ1034-4-44-24-22-42224-2-4-2-21-20-22-2-11-122200003i−3i−3i3i00−4i4i002i−2i2i−2i11-1-1000003i−3i−3i3i000002i−2i0000000000−ii−ii-333-300000000000000000000000000000000
χ1044-4-44-24-22-42224-2-4-2-21-20-22-2-11-12220000−3i3i3i−3i004i−4i00−2i2i−2i2i11-1-100000−3i3i3i−3i00000−2i2i0000000000i−ii−i-333-300000000000000000000000000000000
χ1054-4-44-24-22-42224-2-4-2-21-20-22-2-11-12220000−3i3i3i−3i00−4i4i002i−2i2i−2i11-1-100000−3i3i3i−3i000002i−2i0000000000−ii−ii3-3-3300000000000000000000000000000000
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χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
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χ10988-8-8-4-4-444-44-444-442220-2-2-22-2-2-22200−4i34i32i32i3−2i3−2i30000000000-111-10002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-444-44-444-442220-2-2-22-2-2-222004i3−4i3−2i3−2i32i32i30000000000-111-1000−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-48-4-4-8844-8442-4-40-22444-4-44-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
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χ1148-8-888-4-4-8444-8-4-448-4-420-4424-44-2-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-444444-4-44-422202-22-22-2-2-2-20000−6i6i6i−6i0000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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