Finite Group Databasebeta

← Group #13169301

Character table — Group #13169301

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order12223334466666666633366666666612121212121212121212444436661212121212121212444444441212121212121212121212121212121212121212121212124412121212121212121212121212121212224412122244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-111-1-11-11-1-1-1-1-1111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-11-11-1-111-1-111-11-11-1-1-1-111-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-111-111-1-1-1-111-111-11111-1-1-111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11-1-11-1-11111-1-11-1-111111-1-11-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111111-11-111-1-111-1-1-11-11-1-111-1-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-11-11-1-111-1-1111-11-1-1-111-1-11-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1111-1-1111-1-1111-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-11-1-11111-1-1-111-111-1-111-111-1
χ17222222-1222-1-12-122222-1-12-1-12-1-1-12-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-100000022-1-1-1-1222222000022-1-1-1-1-1-1-1-1000000-1-1000000-1-1-1-12200000000-1-100
χ18222222-1222-1-12-122222-1-12-1-12-1-1-12-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1000000-2-2-1-1-1-1-2-2-2-222000022-1-1-1-1-1-1-1-1000000110000001111-2-2000000001100
χ19222222-1222-1-12-122222-1-12-1-12-1-1-12-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10000002211112222-2-20000-2-211111111000000-1-1000000-1-1-1-1-2-2000000001100
χ20222222-1222-1-12-122222-1-12-1-12-1-1-12-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1000000-2-21111-2-2-2-2-2-20000-2-2111111110000001100000011112200000000-1-100
χ21222222-1-2-22-1-12-122222-1-12-1-12-1-1-12-1-2-2-2-211111122-2-2-1-1-1-1-2-21111110000002-2-1-11122-2-2220000-2-2-1-1-1-11111000000-11000000-1-1112-200000000-1100
χ22222222-1-2-22-1-12-122222-1-12-1-12-1-1-12-1-2-2-2-211111122-2-2-1-1-1-1-2-2111111000000-22-1-111-2-222220000-2-2-1-1-1-111110000001-100000011-1-1-22000000001-100
χ23222222-1-2-22-1-12-122222-1-12-1-12-1-1-12-1-2-2-2-2111111-2-222-1-1-1-1-2-21111110000002-211-1-122-2-2-2-20000221111-1-1-1-1000000-11000000-1-111-22000000001-100
χ24222222-1-2-22-1-12-122222-1-12-1-12-1-1-12-1-2-2-2-2111111-2-222-1-1-1-1-2-2111111000000-2211-1-1-2-222-2-20000221111-1-1-1-10000001-100000011-1-12-200000000-1100
χ2522222-1222222-122-1-12-12-1-1-1-1-1222-1-122-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-100-1-1-1-1000000000022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
χ2622222-1222222-122-1-12-12-1-1-1-1-1222-1-122-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-200001111001111000000000022-1-1-1-1-2-2-2-2111111110000-1-100000000
χ2722222-1222222-122-1-12-12-1-1-1-1-1222-1-122-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-20000111100-1-1-1-10000000000-2-21111-2-222-1-1-1-1111100001100000000
χ2822222-1222222-122-1-12-12-1-1-1-1-1222-1-122-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2220000-1-1-1-10011110000000000-2-2111122-2-21111-1-1-1-100001100000000
χ2922222-12-2-2222-122-1-12-12-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-20000-1-1-1-11111111122222-22-20000-1-11100-1-1110000000000-2-2-1-1-1-12-22-2-1-111-1-11100001100000000
χ3022222-12-2-2222-122-1-12-12-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-20000-1-1-1-1111111112222-22-22000011-1-10011-1-10000000000-2-2-1-1-1-1-22-2211-1-111-1-100001100000000
χ3122222-12-2-2222-122-1-12-12-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-22000011-1-100-1-1110000000000221111-222-2-1-11111-1-10000-1-100000000
χ3222222-12-2-2222-122-1-12-12-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-20000-1-1110011-1-100000000002211112-2-2211-1-1-1-1110000-1-100000000
χ332222-12222-12222-122-1-1-12-122-1-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000220022220000-1-12222-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-10000002200000000-1-1
χ342222-12222-12222-122-1-1-12-122-1-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-2-20022220000-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000111111000000-2-20000000011
χ352222-12222-12222-122-1-1-12-122-1-1-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-100002200-2-2-2-20000112222111111111100000000-1-1-1-1-1-1000000-2-20000000011
χ362222-12222-12222-122-1-1-12-122-1-1-1-1-12-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-200-2-2-2-2000011-2-2-2-21111111111000000001111110000002200000000-1-1
χ372222-122-2-2-12222-122-1-1-12-122-1-1-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-2111100002-20022-2-20000-1-122-2-211-1-1-1-1111100000000-11-1-1110000002-200000000-11
χ382222-122-2-2-12222-122-1-1-12-122-1-1-1-1-1211-2-2-2-2111122-2-2-1-1-1-111-2-211110000-220022-2-20000-1-1-2-22211-1-1-1-11111000000001-111-1-1000000-22000000001-1
χ392222-122-2-2-12222-122-1-1-12-122-1-1-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-2111100002-200-2-22200001122-2-2-1-11111-1-1-1-100000000-11-1-111000000-22000000001-1
χ402222-122-2-2-12222-122-1-1-12-122-1-1-1-1-1211-2-2-2-21111-2-222-1-1-1-111-2-211110000-2200-2-222000011-2-222-1-11111-1-1-1-1000000001-111-1-10000002-200000000-11
χ4122-2-222200-22-2-2-22-22-2222-22-2-2-22-22-20000000000002i−2i22-2-2000000002i2i−2i−2i0000002i−2i00000000002i−2i00002i2i−2i−2i002i2i−2i−2i0000000000000000002-2000000
χ4222-2-222200-22-2-2-22-22-2222-22-2-2-22-22-20000000000002i−2i22-2-200000000−2i−2i2i2i0000002i−2i00000000002i−2i00002i2i−2i−2i00−2i−2i2i2i000000000000000000-22000000
χ4322-2-222200-22-2-2-22-22-2222-22-2-2-22-22-2000000000000−2i2i22-2-2000000002i2i−2i−2i000000−2i2i0000000000−2i2i0000−2i−2i2i2i002i2i−2i−2i000000000000000000-22000000
χ4422-2-222200-22-2-2-22-22-2222-22-2-2-22-22-2000000000000−2i2i22-2-200000000−2i−2i2i2i000000−2i2i0000000000−2i2i0000−2i−2i2i2i00−2i−2i2i2i0000000000000000002-2000000
χ452-22-222200-2-22-2-2-22-222222-22-2-2-22-2-200000000002i−2i002-22-2000000002-22-200002i−2i0000002i−2i0000002i2i−2i−2i0000002-22-2000000000000000000002i−2i0000
χ462-22-222200-2-22-2-2-22-222222-22-2-2-22-2-200000000002i−2i002-22-200000000-22-2200002i−2i0000002i−2i0000002i2i−2i−2i000000-22-2200000000000000000000−2i2i0000
χ472-22-222200-2-22-2-2-22-222222-22-2-2-22-2-20000000000−2i2i002-22-2000000002-22-20000−2i2i000000−2i2i000000−2i−2i2i2i0000002-22-200000000000000000000−2i2i0000
χ482-22-222200-2-22-2-2-22-222222-22-2-2-22-2-20000000000−2i2i002-22-200000000-22-220000−2i2i000000−2i2i000000−2i−2i2i2i000000-22-22000000000000000000002i−2i0000
χ492-2-222222-22-2-222-2-2-2-2222-2-2-222-2-2-222-22-22-222-2-200002-2-222-22-222-2-22i−2i−2i2i00000000000000000000000000002i−2i2i−2i−2i2i00000000000000002i−2i00000000
χ502-2-222222-22-2-222-2-2-2-2222-2-2-222-2-2-222-22-22-222-2-200002-2-222-22-222-2-2−2i2i2i−2i0000000000000000000000000000−2i2i−2i2i2i−2i0000000000000000−2i2i00000000
χ512-2-22222-222-2-222-2-2-2-2222-2-2-222-2-2-22-22-22-22-2-22200002-2-22-22-22-2-2222i−2i−2i2i0000000000000000000000000000−2i2i2i−2i−2i2i0000000000000000−2i2i00000000
χ522-2-22222-222-2-222-2-2-2-2222-2-2-222-2-2-22-22-22-22-2-22200002-2-22-22-22-2-222−2i2i2i−2i00000000000000000000000000002i−2i−2i2i2i−2i00000000000000002i−2i00000000
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χ552-2-222-122-22-2-2-12-211-2-12-1111-12-2-21-12-2-112-222-2-20000-111-1-11-11-1-111−2i2i2i−2i00000000−i3i3−i3i300−33−330000000000−2i2ii−i−ii0000−33−33−i3i3−i3i30000i−i00000000
χ562-2-222-122-22-2-2-12-211-2-12-1111-12-2-21-12-2-112-222-2-20000-111-1-11-11-1-111−2i2i2i−2i00000000i3−i3i3−i3003−33−30000000000−2i2ii−i−ii00003−33−3i3−i3i3−i30000i−i00000000
χ572-2-222-12-222-2-2-12-211-2-12-1111-12-2-21-1-221-1-22-2-2220000-111-11-11-111-1-12i−2i−2i2i00000000−i3i3i3−i3003−3−330000000000−2i2i−iii−i00003−3−33−i3i3i3−i30000i−i00000000
χ582-2-222-12-222-2-2-12-211-2-12-1111-12-2-21-1-221-1-22-2-2220000-111-11-11-111-1-12i−2i−2i2i00000000i3−i3−i3i300−333−30000000000−2i2i−iii−i0000−333−3i3−i3−i3i30000i−i00000000
χ592-2-222-12-222-2-2-12-211-2-12-1111-12-2-21-1-221-1-22-2-2220000-111-11-11-111-1-1−2i2i2i−2i00000000−i3i3i3−i300−333−300000000002i−2ii−i−ii0000−333−3−i3i3i3−i30000−ii00000000
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χ654444-24-244-2-2-24-2-244-2-21-2-2-2-2-2111-2-2-2-244-2-2111144441111-2-2-2-2111100000000-2-2-2-20000-2-20000-2-21111111100000000000000000000000000000000
χ664444-24-244-2-2-24-2-244-2-21-2-2-2-2-2111-2-2-2-244-2-21111-4-4-4-41111-2-2-2-21111000000002222000022000022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-24-2-4-4-2-2-24-2-244-2-21-2-2-2-2-2111-2-222-4-422-1-1-1-144-4-411112222-1-1-1-100000000-2-2220000-2-20000221111-1-1-1-100000000000000000000000000000000
χ684444-24-2-4-4-2-2-24-2-244-2-21-2-2-2-2-2111-2-222-4-422-1-1-1-1-4-44411112222-1-1-1-10000000022-2-20000220000-2-2-1-1-1-1111100000000000000000000000000000000
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χ704444-2-2444-244-24-2-2-2-21-2-21-2-21-2-2-21-2-2-2-2-244-2-2-2-20000111111-2-211110000-4-4000000000000222200000000000000000022-1-1-1-1000000000000000000
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Here i is the imaginary unit (i² = −1).