Finite Group Databasebeta

← Group #13168369

Character table — Group #13168369

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212122244441212121236661212121212121212122446666661212121212121212121212121212121244446666612121212121212244412121212121222612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-111111111-1-11111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111111111-11-1-111-1-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-1-1-11-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111111111-1-1-1-11111-111-1-1-11-1-1-111-1-11-11111-1-1-1-1-1-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-11111-1-1-1-1-1-111-111-1-11-1111-1-111-1-1-1-111-1-11111-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-1-11-1-1-1111-1-1111-1-111111-1-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-1111-1-1-1111-1-1-1-111-1-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111-11-1-1-111-1111-1-1-1-11111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11-1-1111-1111-1-11-1-1111-1-111-1-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1111-1-111-11-1-1-11111-1-1-1-111-1-1-1-111-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1111-1-1-1-11-11111-1-111-1-11-1
χ17222222-1222-1-12-122-1-122-122-12-1-1-1-122-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-102200000022-1-1-1-122-1-1-1-1-1-1-1-10000000002-1-1-1-1-1-1202000000000-10-10
χ18222222-1222-1-12-122-1-122-122-12-1-1-1-122-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-10-2-200000022-1-1-1-1-2-2-1-1-1-1-1-1-1-1000000000-2111111-20-20000000001010
χ19222222-1222-1-12-122-1-122-122-12-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1022000000-2-2111122111111110000000002-1-1-1-1-1-1-20-20000000001010
χ20222222-1222-1-12-122-1-122-122-12-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-2000000-2-21111-2-211111111000000000-2111111202000000000-10-10
χ21222222-1222-1-12-122-1-12-2-122-12-1-1-1-1-2-21111110022-2-2-2-2-2-2-1-1-1-1-2-2-211111102-20000002211-1-122-1-1-1-11111000000000-2-1111-1-1-20200000000010-10
χ22222222-1222-1-12-122-1-12-2-122-12-1-1-1-1-2-21111110022-2-2-2-2-2-2-1-1-1-1-2-2-21111110-220000002211-1-1-2-2-1-1-1-1111100000000021-1-1-11120-2000000000-1010
χ23222222-1222-1-12-122-1-12-2-122-12-1-1-1-1-2-211111100-2-2222222-1-1-1-1-2-2-211111102-2000000-2-2-1-111221111-1-1-1-1000000000-2-1111-1-120-2000000000-1010
χ24222222-1222-1-12-122-1-12-2-122-12-1-1-1-1-2-211111100-2-2222222-1-1-1-1-2-2-21111110-22000000-2-2-1-111-2-21111-1-1-1-100000000021-1-1-111-20200000000010-10
χ2522222-1222-122-12-122-1-12-1-1-12-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-122000000-1-1000000002200-1-1-1-1-1-122-1-1-1-10200-1-10000000-100
χ2622222-1222-122-12-122-1-12-1-1-12-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-222-1-1220000001100000000-2-200-1-1-1-1-11-2-211110-200110000000100
χ2722222-1222-122-12-122-1-12-1-1-12-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-211-2-2000000-1-100000000-2-20011111-122-1-1-1-10-200110000000100
χ2822222-1222-122-12-122-1-12-1-1-12-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-200000011000000002200111111-2-211110200-1-10000000-100
χ2922222-1222-122-12-122-1-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-22-222-1-1-2-2000000-1-10000000022001-1-11112-211-1-10-200-1-10000000100
χ3022222-1222-122-12-122-1-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-2-2222-1-1-2-20000001100000000-2-2001-1-111-1-22-1-1110200110000000-100
χ3122222-1222-122-12-122-1-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111122-2-2-21122000000-1-100000000-2-200-111-1-112-211-1-10200110000000-100
χ3222222-1222-122-12-122-1-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111112-22-2-2112200000011000000002200-111-1-1-1-22-1-1110-200-1-10000000100
χ332222-122-1-1222222-1-12-122-1-1-1-1-1-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1200-1-122-1-1-1-1222200-1-1-1-1-1-1-1-100222-1-1-1-10000000000200-1-1-1-1000000
χ342222-122-1-1222222-1-12-122-1-1-1-1-1-122-1-122-1-1-1-122-2-2-2-21111-1-1-1-12-1-122-1-1-1-1200-1-122-1-111-2-2-2-2001111111100-2-22-1-1-1-10000000000-2001111000000
χ352222-122-1-1222222-1-12-122-1-1-1-1-1-122-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20011-2-211-1-1222200-1-1-1-1-1-1-1-100-2-2-211110000000000-2001111000000
χ362222-122-1-1222222-1-12-122-1-1-1-1-1-122-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20011-2-21111-2-2-2-200111111110022-211110000000000200-1-1-1-1000000
χ372222-122-1-1222222-1-12-1-22-1-1-1-1-1-12211-2-211112222-2-21111-1-1-1-1-211-2-21111-200-1-12211-1-1-2-22200-1-1-1-111110022-2-1-1110000000000-200-1-111000000
χ382222-122-1-1222222-1-12-1-22-1-1-1-1-1-12211-2-2111122-2-222-1-1-1-1-1-1-1-1-211-2-21111-200-1-122111122-2-2001111-1-1-1-100-2-2-2-1-111000000000020011-1-1000000
χ392222-122-1-1222222-1-12-1-22-1-1-1-1-1-12211-2-21111-2-222-2-21111-1-1-1-1-211-2-2111120011-2-2-1-1-1-1-2-22200-1-1-1-1111100-2-2211-1-1000000000020011-1-1000000
χ402222-122-1-1222222-1-12-1-22-1-1-1-1-1-12211-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-2111120011-2-2-1-11122-2-2001111-1-1-1-10022211-1-10000000000-200-1-111000000
χ4122-2-22222-2-22-2-2-22-22220-2-2-222-2-2-22000000002-22i−2i0000002-2-220000000000002-22-2002i−2i002i−2i002i2i−2i−2i0000002i−2i02-20000000000000002i−2i00000000
χ4222-2-22222-2-22-2-2-22-22220-2-2-222-2-2-22000000002-2−2i2i0000002-2-220000000000002-22-200−2i2i00−2i2i00−2i−2i2i2i000000−2i2i02-2000000000000000−2i2i00000000
χ4322-2-22222-2-22-2-2-22-22220-2-2-222-2-2-2200000000-222i−2i0000002-2-22000000000000-22-22002i−2i002i−2i002i2i−2i−2i000000−2i2i0-22000000000000000−2i2i00000000
χ4422-2-22222-2-22-2-2-22-22220-2-2-222-2-2-2200000000-22−2i2i0000002-2-22000000000000-22-2200−2i2i00−2i2i00−2i−2i2i2i0000002i−2i0-220000000000000002i−2i00000000
χ4522-2-2-122-11-22-2-2-221-12-10-211-1-111-22−i3i300−i3−i3i3i32-22i−2i0033−3−3-111-10−i3i300−i3−i3i3i3000-112-2−i3i3−ii002i−2i00−i−iii33−3−3002i−2i0-11−i3i30000000000000−ii3−3000000
χ4622-2-2-122-11-22-2-2-221-12-10-211-1-111-22−i3i300−i3−i3i3i32-2−2i2i00−3−333-111-10−i3i300−i3−i3i3i3000-112-2−i3i3i−i00−2i2i00ii−i−i−3−33300−2i2i0-11−i3i30000000000000i−i−33000000
χ4722-2-2-122-11-22-2-2-221-12-10-211-1-111-22−i3i300−i3−i3i3i3-222i−2i0033−3−3-111-10−i3i300−i3−i3i3i30001-1-22i3−i3−ii002i−2i00−i−iii33−3−300−2i2i01-1i3−i30000000000000i−i−33000000
χ4822-2-2-122-11-22-2-2-221-12-10-211-1-111-22−i3i300−i3−i3i3i3-22−2i2i00−3−333-111-10−i3i300−i3−i3i3i30001-1-22i3−i3i−i00−2i2i00ii−i−i−3−333002i−2i01-1i3−i30000000000000−ii3−3000000
χ4922-2-2-122-11-22-2-2-221-12-10-211-1-111-22i3−i300i3i3−i3−i32-22i−2i00−3−333-111-10i3−i300i3i3−i3−i3000-112-2i3−i3−ii002i−2i00−i−iii−3−333002i−2i0-11i3−i30000000000000−ii−33000000
χ5022-2-2-122-11-22-2-2-221-12-10-211-1-111-22i3−i300i3i3−i3−i32-2−2i2i0033−3−3-111-10i3−i300i3i3−i3−i3000-112-2i3−i3i−i00−2i2i00ii−i−i33−3−300−2i2i0-11i3−i30000000000000i−i3−3000000
χ5122-2-2-122-11-22-2-2-221-12-10-211-1-111-22i3−i300i3i3−i3−i3-222i−2i00−3−333-111-10i3−i300i3i3−i3−i30001-1-22−i3i3−ii002i−2i00−i−iii−3−33300−2i2i01-1−i3i30000000000000i−i3−3000000
χ5222-2-2-122-11-22-2-2-221-12-10-211-1-111-22i3−i300i3i3−i3−i3-22−2i2i0033−3−3-111-10i3−i300i3i3−i3−i30001-1-22−i3i3i−i00−2i2i00ii−i−i33−3−3002i−2i01-1−i3i30000000000000−ii−33000000
χ532-22-2222-22-2-2-222-2-2222022-2-2-22-2-2-20000000000002i−2i2i−2i2i−2i22-2-2000000000000000000002i−2i000000002i−2i2i−2i2i−2i0000000000000000002i−2i00002-20000
χ542-22-2222-22-2-2-222-2-2222022-2-2-22-2-2-20000000000002i−2i2i−2i2i−2i22-2-2000000000000000000002i−2i000000002i−2i2i−2i−2i2i000000000000000000−2i2i0000-220000
χ552-22-2222-22-2-2-222-2-2222022-2-2-22-2-2-2000000000000−2i2i−2i2i−2i2i22-2-200000000000000000000−2i2i00000000−2i2i−2i2i2i−2i0000000000000000002i−2i0000-220000
χ562-22-2222-22-2-2-222-2-2222022-2-2-22-2-2-2000000000000−2i2i−2i2i−2i2i22-2-200000000000000000000−2i2i00000000−2i2i−2i2i−2i2i000000000000000000−2i2i00002-20000
χ5744444-2-244-2-2-2-2-2-24-21-241-2-2-2-2-2-21144-2-2-2-2-2-200000000001111-2-2-2111111044000000000000-2-200000000000000000-2-2-211110000000000000000
χ5844444-2-244-2-2-2-2-2-24-21-241-2-2-2-2-2-21144-2-2-2-2-2-200000000001111-2-2-21111110-4-40000000000002200000000000000000222-1-1-1-10000000000000000
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χ644444-24-2-2-24-2-24-24-21-2-2-4-2-2-21-211-2-22222-1-1-1-100-4-444-2-2-2-21111-42222-1-1-1-100000000022-2-22200-1-1-1-1111100000000000000000000000000000000
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χ664444-2-24-2-2-244-24-2-2-2-214-211-21-2-2-2-2-2-244-2-2-2-2-4-4000000001111-211-2-21111-400222222000000000000000000002-1-1-1-100000000000000000000000
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χ7344-4-4-24-2-22-4-22-42421-2-202221-2-1-12-2−2i32i300i3i3−i3−i3004i−4i002323−23−231-1-110−2i32i300i3i3−i3−i3000000000−2i2i00−2i2i00ii−i−i−3−33300000000000000000000000000000000
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χ1118-88-88-4-4-88444-4-44-8-42-402-4444-44-2-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-444-44-4444-42220-2-22-2-2-222-200−434323−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000

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