Finite Group Databasebeta

← Group #11797397

Character table — Group #11797397

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order12442334668888121212123446666688121212121212242424242424242412121212121212122424242424242424242424244444161616161616161648484848484848484848484848484848248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ51111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ91111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-1-1-1
χ101111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-1-1-1
χ111111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-11111
χ121111111111-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-11111
χ131111111111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-1-1
χ141111111111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-1
χ151111111111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-111
χ161111111111-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-111
χ17222222-122-1222222-1-1-1222-1-1-1-1222-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1000000
χ18222222-122-1222222-1-1-1222-1-1-1-1222-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-20000000011111111000000
χ19222222-122-1222222-1-1-1-2-22-1-1-1-1-2-22-1-1-1-1-12222-1-1-1-1-2-2111111-1-1-1-1-2-21111110000000022-2-200000000-1-1-1-11111000000
χ20222222-122-1222222-1-1-1-2-22-1-1-1-1-2-22-1-1-1-1-12222-1-1-1-1-2-2111111-1-1-1-1-2-211111100000000-2-222000000001111-1-1-1-1000000
χ21222222-122-1-2-2-2-222-1-1-1222-1-1-1-1-2-22-1-1-1-1-1-2-2-2-2111122-1-1-1-1-1-11111-2-2111111000000002i−2i2i−2i00000000−i−iii−i−iii000000
χ22222222-122-1-2-2-2-222-1-1-1222-1-1-1-1-2-22-1-1-1-1-1-2-2-2-2111122-1-1-1-1-1-11111-2-211111100000000−2i2i−2i2i00000000ii−i−iii−i−i000000
χ23222222-122-1-2-2-2-222-1-1-1-2-22-1-1-1-1222-1-1-1-1-1-2-2-2-21111-2-2111111111122-1-1-1-1-1-1000000002i−2i−2i2i00000000−i−iiiii−i−i000000
χ24222222-122-1-2-2-2-222-1-1-1-2-22-1-1-1-1222-1-1-1-1-1-2-2-2-21111-2-2111111111122-1-1-1-1-1-100000000−2i2i2i−2i00000000ii−i−i−i−iii000000
χ2522222-122-122222-1-122-122-12-1-1-122-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000000000
χ2622222-122-122222-1-122-122-12-1-1-122-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-200001111111100000000000000
χ2722222-122-122222-1-122-1-2-2-12-1-1-1-2-2-12-1-1-1-1-1-1-1-1222211-2-21111-1-1-1-111-2-21111000022-2-20000-1-1-1-1111100000000000000
χ2822222-122-122222-1-122-1-2-2-12-1-1-1-2-2-12-1-1-1-1-1-1-1-1222211-2-21111-1-1-1-111-2-211110000-2-22200001111-1-1-1-100000000000000
χ2922222-122-12-2-2-2-2-1-122-122-12-1-1-1-2-2-12-1-1-1-11111-2-2-2-2-1-122-1-1-1-1111111-2-2111100002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ3022222-122-12-2-2-2-2-1-122-122-12-1-1-1-2-2-12-1-1-1-11111-2-2-2-2-1-122-1-1-1-1111111-2-211110000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ3122222-122-12-2-2-2-2-1-122-1-2-2-12-1-1-122-12-1-1-1-11111-2-2-2-211-2-211111111-1-122-1-1-1-100002i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ3222222-122-12-2-2-2-2-1-122-1-2-2-12-1-1-122-12-1-1-1-11111-2-2-2-211-2-211111111-1-122-1-1-1-10000−2i2i2i−2i0000ii−i−i−i−iii00000000000000
χ332222-222-22222-2-2222222i−2i-2-22-2-22i−2i-2-222-2-222-2-222-2-22i−2i2i−2i2i2i−2i−2i22-2-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ342222-222-22222-2-222222−2i2i-2-22-2-2−2i2i-2-222-2-222-2-222-2-2−2i2i−2i2i−2i−2i2i2i22-2-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ352222-222-222-2-222222222i−2i-2-22-2-2−2i2i-2-222-2-2-2-222-2-2222i−2i2i−2i2i2i−2i−2i-2-222−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ362222-222-222-2-22222222−2i2i-2-22-2-22i−2i-2-222-2-2-2-222-2-222−2i2i−2i2i−2i−2i2i2i-2-2222i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ372222-22-1-22-122-2-222-1-1-12i−2i-21-1112i−2i-21-1-11122-2-2-1-1112i−2i−ii−i−iii-1-1112i−2i−ii−i−iii00000000000000000000−i3i3−i3i33−33−3000000
χ382222-22-1-22-122-2-222-1-1-12i−2i-21-1112i−2i-21-1-11122-2-2-1-1112i−2i−ii−i−iii-1-1112i−2i−ii−i−iii00000000000000000000i3−i3i3−i3−33−33000000
χ392222-22-1-22-122-2-222-1-1-1−2i2i-21-111−2i2i-21-1-11122-2-2-1-111−2i2ii−iii−i−i-1-111−2i2ii−iii−i−i00000000000000000000−i3i3−i3i3−33−33000000
χ402222-22-1-22-122-2-222-1-1-1−2i2i-21-111−2i2i-21-1-11122-2-2-1-111−2i2ii−iii−i−i-1-111−2i2ii−iii−i−i00000000000000000000i3−i3i3−i33−33−3000000
χ412222-22-1-22-1-2-22222-1-1-12i−2i-21-111−2i2i-21-1-111-2-22211-1-12i−2i−ii−i−iii11-1-1−2i2ii−iii−i−i000000000000000000003−3−33i3−i3−i3i3000000
χ422222-22-1-22-1-2-22222-1-1-12i−2i-21-111−2i2i-21-1-111-2-22211-1-12i−2i−ii−i−iii11-1-1−2i2ii−iii−i−i00000000000000000000−333−3−i3i3i3−i3000000
χ432222-22-1-22-1-2-22222-1-1-1−2i2i-21-1112i−2i-21-1-111-2-22211-1-1−2i2ii−iii−i−i11-1-12i−2i−ii−i−iii000000000000000000003−3−33−i3i3i3−i3000000
χ442222-22-1-22-1-2-22222-1-1-1−2i2i-21-1112i−2i-21-1-111-2-22211-1-1−2i2ii−iii−i−i11-1-12i−2i−ii−i−iii00000000000000000000−333−3i3−i3−i3i3000000
χ452222-2-12-2-1222-2-2-1-122-12i−2i1-2-1112i−2i1-2-1-111-1-11122-2-2−ii2i−2i−i−iii-1-111−ii2i−2i−i−iii000000000000−i3i3−i3i33−33−300000000000000
χ462222-2-12-2-1222-2-2-1-122-12i−2i1-2-1112i−2i1-2-1-111-1-11122-2-2−ii2i−2i−i−iii-1-111−ii2i−2i−i−iii000000000000i3−i3i3−i3−33−3300000000000000
χ472222-2-12-2-1222-2-2-1-122-1−2i2i1-2-111−2i2i1-2-1-111-1-11122-2-2i−i−2i2iii−i−i-1-111i−i−2i2iii−i−i000000000000−i3i3−i3i3−33−3300000000000000
χ482222-2-12-2-1222-2-2-1-122-1−2i2i1-2-111−2i2i1-2-1-111-1-11122-2-2i−i−2i2iii−i−i-1-111i−i−2i2iii−i−i000000000000i3−i3i3−i33−33−300000000000000
χ492222-2-12-2-12-2-222-1-122-12i−2i1-2-111−2i2i1-2-1-11111-1-1-2-222−ii2i−2i−i−iii11-1-1i−i−2i2iii−i−i0000000000003−3−33i3−i3−i3i300000000000000
χ502222-2-12-2-12-2-222-1-122-12i−2i1-2-111−2i2i1-2-1-11111-1-1-2-222−ii2i−2i−i−iii11-1-1i−i−2i2iii−i−i000000000000−333−3−i3i3i3−i300000000000000
χ512222-2-12-2-12-2-222-1-122-1−2i2i1-2-1112i−2i1-2-1-11111-1-1-2-222i−i−2i2iii−i−i11-1-1−ii2i−2i−i−iii0000000000003−3−33−i3i3i3−i300000000000000
χ522222-2-12-2-12-2-222-1-122-1−2i2i1-2-1112i−2i1-2-1-11111-1-1-2-222i−i−2i2iii−i−i11-1-1−ii2i−2i−i−iii000000000000−333−3i3−i3−i3i300000000000000
χ5322-2-2222-2222i−2i2i−2i-2-2-2-22002222200-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i0000000000000000000000000000000000002-22i−2i00
χ5422-2-2222-2222i−2i2i−2i-2-2-2-22002222200-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i000000000000000000000000000000000000-22−2i2i00
χ5522-2-2222-222−2i2i−2i2i-2-2-2-22002222200-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i0000000000000000000000000000000000002-2−2i2i00
χ5622-2-2222-222−2i2i−2i2i-2-2-2-22002222200-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i000000000000000000000000000000000000-222i−2i00
χ5722-2-2-2222222i−2i−2i2i-2-2-2-2200-2-22-2-20022-2-2222i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i000000002i2i−2i−2i00000000000000000000000000002-2
χ5822-2-2-2222222i−2i−2i2i-2-2-2-2200-2-22-2-20022-2-2222i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i00000000−2i−2i2i2i0000000000000000000000000000-22
χ5922-2-2-222222−2i2i2i−2i-2-2-2-2200-2-22-2-20022-2-222−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i000000002i2i−2i−2i0000000000000000000000000000-22
χ6022-2-2-222222−2i2i2i−2i-2-2-2-2200-2-22-2-20022-2-222−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i00000000−2i−2i2i2i00000000000000000000000000002-2
χ6144444-2-24-2-24444-2-2-2-2144-2-211144-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-211110000000000000000000000000000000000
χ6244444-2-24-2-24444-2-2-2-21-4-4-2-2111-4-4-2-21111-2-2-2-2-2-2-2-22222-1-1-1-111112222-1-1-1-10000000000000000000000000000000000
χ6344444-2-24-2-2-4-4-4-4-2-2-2-2144-2-2111-4-4-2-2111122222222-2-2-2-21111-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6444444-2-24-2-2-4-4-4-4-2-2-2-21-4-4-2-211144-2-21111222222222222-1-1-1-1-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ654444-4-2-2-4-2-244-4-4-2-2-2-214i−4i221-1-14i−4i2211-1-1-2-222-2-222−2i2i−2i2iii−i−i11-1-1−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ664444-4-2-2-4-2-244-4-4-2-2-2-21−4i4i221-1-1−4i4i2211-1-1-2-222-2-2222i−2i2i−2i−i−iii11-1-12i−2i2i−2i−i−iii0000000000000000000000000000000000
χ674444-4-2-2-4-2-2-4-444-2-2-2-214i−4i221-1-1−4i4i2211-1-122-2-222-2-2−2i2i−2i2iii−i−i-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000
χ684444-4-2-2-4-2-2-4-444-2-2-2-21−4i4i221-1-14i−4i2211-1-122-2-222-2-22i−2i2i−2i−i−iii-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ6944-4-444-2-44-24i−4i4i−4i-4-422-2004-2-2-2-200-4222224i−4i4i−4i−2i2i−2i2i00000000−2i2i−2i2i000000000000000000000000000000000000000000
χ7044-4-444-2-44-2−4i4i−4i4i-4-422-2004-2-2-2-200-422222−4i4i−4i4i2i−2i2i−2i000000002i−2i2i−2i000000000000000000000000000000000000000000
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χ7244-4-44-24-4-24−4i4i−4i4i22-4-4-200-24-2-2-2002-422222i−2i2i−2i−4i4i−4i4i000000002i−2i2i−2i000000000000000000000000000000000000000000
χ7344-4-44-2-2-4-2-24i−4i4i−4i2222100-2-21110022-1-1-1-1−2i2i−2i2i−2i2i−2i2i00003-33-3i−ii−i00003i−3i3i−3i0000000000000000000000000000000000
χ7444-4-44-2-2-4-2-24i−4i4i−4i2222100-2-21110022-1-1-1-1−2i2i−2i2i−2i2i−2i2i0000-33-33i−ii−i0000−3i3i−3i3i0000000000000000000000000000000000
χ7544-4-44-2-2-4-2-2−4i4i−4i4i2222100-2-21110022-1-1-1-12i−2i2i−2i2i−2i2i−2i00003-33-3−ii−ii0000−3i3i−3i3i0000000000000000000000000000000000
χ7644-4-44-2-2-4-2-2−4i4i−4i4i2222100-2-21110022-1-1-1-12i−2i2i−2i2i−2i2i−2i0000-33-33−ii−ii00003i−3i3i−3i0000000000000000000000000000000000
χ7744-4-4-44-244-24i−4i−4i4i-4-422-200-42-222004-222-2-24i−4i−4i4i−2i2i2i−2i00000000−2i2i2i−2i000000000000000000000000000000000000000000
χ7844-4-4-44-244-2−4i4i4i−4i-4-422-200-42-222004-222-2-2−4i4i4i−4i2i−2i−2i2i000000002i−2i−2i2i000000000000000000000000000000000000000000
χ7944-4-4-4-244-244i−4i−4i4i22-4-4-2002-4-22200-2422-2-2−2i2i2i−2i4i−4i−4i4i00000000−2i2i2i−2i000000000000000000000000000000000000000000
χ8044-4-4-4-244-24−4i4i4i−4i22-4-4-2002-4-22200-2422-2-22i−2i−2i2i−4i4i4i−4i000000002i−2i−2i2i000000000000000000000000000000000000000000
χ8144-4-4-4-2-24-2-24i−4i−4i4i2222100221-1-100-2-2-1-111−2i2i2i−2i−2i2i2i−2i00003i−3i−3i3ii−i−ii0000-333-30000000000000000000000000000000000
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χ908-88i−8i0-4804-80000−4i4i8i−8i-400004000000−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i0-4-40440000−4i4i−4i4i20000-26-600002i−2i6i−6i00000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i0-4-40440000−4i4i−4i4i20000-2-6600002i−2i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i08-40-840000−8i8i4i−4i-4000040000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0-4804-800004i−4i−8i8i-4000040000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i0-4-404400004i−4i4i−4i20000-26-60000−2i2i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i0-4-404400004i−4i4i−4i20000-2-660000−2i2i6i−6i00000000000000000000000000000000000000000000000000000000000000

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