Finite Group Databasebeta

← Group #11786167

Character table — Group #11786167

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order124422233444661212121236666666668888121212121212121212126612122424242424242424242424242424242444444444888812121212121212122424242424242424448888
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
χ51111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ91111-1-11111-1-1111111111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i-1-111-1-1
χ101111-1-11111-1-1111111111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii-1-111-1-1
χ111111-1-11111-1-1111111111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-111
χ121111-1-11111-1-1111111111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-111
χ131111-1-11111-1-1111111111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-1-1-111
χ141111-1-11111-1-1111111111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-1-1-111
χ151111-1-11111-1-1111111111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1111-1-1
χ161111-1-11111-1-1111111111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1111-1-1
χ1722222222-12222-122-1-1-12-122-1-1-1-1-12222-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000000000
χ1822222222-12222-122-1-1-12-122-1-1-1-1-12222-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200001111111100000000000000
χ1922222222-12222-122-1-1-12-122-1-1-1-1-1-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-2-2111111-2-2111111000022-2-20000-1-1-1-1111100000000000000
χ2022222222-12222-122-1-1-12-122-1-1-1-1-1-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-2-2111111-2-21111110000-2-22200001111-1-1-1-100000000000000
χ212222222-12222-12-1-122-1-12-1-1-1-1-122222222-1-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1000000
χ222222222-12222-12-1-122-1-12-1-1-1-1-122222222-1-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-20000000011111111000000
χ232222222-12222-12-1-122-1-12-1-1-1-1-122-2-2-2-222-1-1-12-1-1-1-1-1-1-1-111-2-2111111-2-211110000000022-2-200000000-1-1-1-11111000000
χ242222222-12222-12-1-122-1-12-1-1-1-1-122-2-2-2-222-1-1-12-1-1-1-1-1-1-1-111-2-2111111-2-2111100000000-2-222000000001111-1-1-1-1000000
χ2522222-2-222-22-22222222-2-22-2-2-222-22i−2i2i−2i2-222-2-2-2-22-22-22-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ2622222-2-222-22-22222222-2-22-2-2-222-2−2i2i−2i2i2-222-2-2-2-22-22-22-2−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ2722222-2-22-1-22-22-122-1-1-1-212-211-1-112i−2i2i−2i-11-1-1-21112-2-11-112i−2i−ii−i−iii2i−2i−ii−i−iii000000000000−i3i3−i3i33−33−300000000000000
χ2822222-2-22-1-22-22-122-1-1-1-212-211-1-112i−2i2i−2i-11-1-1-21112-2-11-112i−2i−ii−i−iii2i−2i−ii−i−iii000000000000i3−i3i3−i3−33−3300000000000000
χ2922222-2-22-1-22-22-122-1-1-1-212-211-1-11−2i2i−2i2i-11-1-1-21112-2-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i000000000000−i3i3−i3i3−33−3300000000000000
χ3022222-2-22-1-22-22-122-1-1-1-212-211-1-11−2i2i−2i2i-11-1-1-21112-2-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i000000000000i3−i3i3−i33−33−300000000000000
χ3122222-2-2-12-22-2-12-1-122-11-2-1111-12-22i−2i2i−2i2-2-1-11-211-11-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii00000000000000000000−i3i3−i3i33−33−3000000
χ3222222-2-2-12-22-2-12-1-122-11-2-1111-12-22i−2i2i−2i2-2-1-11-211-11-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii00000000000000000000i3−i3i3−i3−33−33000000
χ3322222-2-2-12-22-2-12-1-122-11-2-1111-12-2−2i2i−2i2i2-2-1-11-211-11-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i00000000000000000000−i3i3−i3i3−33−33000000
χ3422222-2-2-12-22-2-12-1-122-11-2-1111-12-2−2i2i−2i2i2-2-1-11-211-11-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i00000000000000000000i3−i3i3−i33−33−3000000
χ352222-22-222-2-222222222-2-2-22-2-22-222i−2i−2i2i-2222-2-2-2-2-22-22-222i−2i2i−2i2i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ362222-22-222-2-222222222-2-2-22-2-22-22−2i2i2i−2i-2222-2-2-2-2-22-22-22−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ372222-22-22-1-2-222-122-1-1-1-21-2211-11-12i−2i−2i2i1-1-1-1-2111-221-11-12i−2i−ii−i−iii−2i2ii−iii−i−i0000000000003−3−33i3−i3−i3i300000000000000
χ382222-22-22-1-2-222-122-1-1-1-21-2211-11-12i−2i−2i2i1-1-1-1-2111-221-11-12i−2i−ii−i−iii−2i2ii−iii−i−i000000000000−333−3−i3i3i3−i300000000000000
χ392222-22-22-1-2-222-122-1-1-1-21-2211-11-1−2i2i2i−2i1-1-1-1-2111-221-11-1−2i2ii−iii−i−i2i−2i−ii−i−iii0000000000003−3−33−i3i3i3−i300000000000000
χ402222-22-22-1-2-222-122-1-1-1-21-2211-11-1−2i2i2i−2i1-1-1-1-2111-221-11-1−2i2ii−iii−i−i2i−2i−ii−i−iii000000000000−333−3i3−i3−i3i300000000000000
χ412222-22-2-12-2-22-12-1-122-11-21-111-1-222i−2i−2i2i-22-1-11-2111-11-11-1−ii2i−2i−i−iiii−i−2i2iii−i−i000000000000000000003−3−33i3−i3−i3i3000000
χ422222-22-2-12-2-22-12-1-122-11-21-111-1-222i−2i−2i2i-22-1-11-2111-11-11-1−ii2i−2i−i−iiii−i−2i2iii−i−i00000000000000000000−333−3−i3i3i3−i3000000
χ432222-22-2-12-2-22-12-1-122-11-21-111-1-22−2i2i2i−2i-22-1-11-2111-11-11-1i−i−2i2iii−i−i−ii2i−2i−i−iii000000000000000000003−3−33−i3i3i3−i3000000
χ442222-22-2-12-2-22-12-1-122-11-21-111-1-22−2i2i2i−2i-22-1-11-2111-11-11-1i−i−2i2iii−i−i−ii2i−2i−i−iii00000000000000000000−333−3i3−i3−i3i3000000
χ452222-2-222-12-2-22-122-1-1-12-1-2-2-1-1-11122-2-211-1-12-1-1-1-2-2111122-1-1-1-1-1-1-2-211111100002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ462222-2-222-12-2-22-122-1-1-12-1-2-2-1-1-11122-2-211-1-12-1-1-1-2-2111122-1-1-1-1-1-1-2-21111110000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ472222-2-222-12-2-22-122-1-1-12-1-2-2-1-1-111-2-22211-1-12-1-1-1-2-21111-2-211111122-1-1-1-1-1-100002i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ482222-2-222-12-2-22-122-1-1-12-1-2-2-1-1-111-2-22211-1-12-1-1-1-2-21111-2-211111122-1-1-1-1-1-10000−2i2i2i−2i0000ii−i−i−i−iii00000000000000
χ492222-2-22-122-2-2-12-1-122-1-1211-1-1-1-2-222-2-2-2-2-1-1-12-1-1111111-1-122-1-1-1-111-2-21111000000002i−2i2i−2i00000000−i−iii−i−iii000000
χ502222-2-22-122-2-2-12-1-122-1-1211-1-1-1-2-222-2-2-2-2-1-1-12-1-1111111-1-122-1-1-1-111-2-2111100000000−2i2i−2i2i00000000ii−i−iii−i−i000000
χ512222-2-22-122-2-2-12-1-122-1-1211-1-1-1-2-2-2-222-2-2-1-1-12-1-111111111-2-21111-1-122-1-1-1-1000000002i−2i−2i2i00000000−i−iiiii−i−i000000
χ522222-2-22-122-2-2-12-1-122-1-1211-1-1-1-2-2-2-222-2-2-1-1-12-1-111111111-2-21111-1-122-1-1-1-100000000−2i2i2i−2i00000000ii−i−i−i−iii000000
χ5322-2-222222-2-2-222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-222-2-200000000000000000000000000000000000000000000002i−2i2i−2i
χ5422-2-222222-2-2-222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000000000000000−2i2i−2i2i
χ5522-2-22-2-2222-2222-2-2-2-22-2-22-2-2-222-20000-22-2-22222-222-2-2200000000000000002i2i−2i−2i0000000000000000000000002i−2i0000
χ5622-2-22-2-2222-2222-2-2-2-22-2-22-2-2-222-20000-22-2-22222-222-2-220000000000000000−2i−2i2i2i000000000000000000000000−2i2i0000
χ5722-2-2-22-22222-222-2-2-2-22-2-2-22-2-22-2200002-2-2-222222-2-222-200000000000000002i2i−2i−2i000000000000000000000000−2i2i0000
χ5822-2-2-22-22222-222-2-2-2-22-2-2-22-2-22-2200002-2-2-222222-2-222-20000000000000000−2i−2i2i2i0000000000000000000000002i−2i0000
χ5922-2-2-2-2222-22222-2-2-2-2222-2-2222-2-2000022-2-2-2-2-2-222-2-22200000000000000000000000000000000000000000000002i−2i−2i2i
χ6022-2-2-2-2222-22222-2-2-2-2222-2-2222-2-2000022-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000000000−2i2i2i−2i
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-24444-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-4-4-4-4-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6344444-4-4-2-2-44-4-2-2-2-2-2-2122-22-1-11-224i−4i4i−4i-221122-1-1-221-11-1−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ6444444-4-4-2-2-44-4-2-2-2-2-2-2122-22-1-11-22−4i4i−4i4i-221122-1-1-221-11-12i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ654444-44-4-2-2-4-44-2-2-2-2-2-21222-2-1-112-24i−4i−4i4i2-21122-1-12-2-11-11−2i2i−2i2iii−i−i2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ664444-44-4-2-2-4-44-2-2-2-2-2-21222-2-1-112-2−4i4i4i−4i2-21122-1-12-2-11-112i−2i2i−2i−i−iii−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ674444-4-44-2-24-4-4-2-2-2-2-2-21-2-2221112244-4-42211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ684444-4-44-2-24-4-4-2-2-2-2-2-21-2-22211122-4-4442211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ6944-4-44444-2-4-4-44-2-4-422-24-244-2-2-2-2-200002222-4222-4-4-2-22200000000000000000000000000000000000000000000000000
χ7044-4-4444-24-4-4-4-2422-4-4-2-24-2-2-2-2-2440000-4-4222-42222-2-22200000000000000000000000000000000000000000000000000
χ7144-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-2000022-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ7244-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-2000022-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ7344-4-44-4-44-24-444-2-4-422-2-424-422-2-2200002-2224-2-2-2-44-222-200000000000000000000000000000000000000000000000000
χ7444-4-44-4-4-244-44-2422-4-4-22-4-2222-24-40000-4422-24-2-22-2-222-200000000000000000000000000000000000000000000000000
χ7544-4-44-4-4-2-24-44-2-22222122-22-1-11-2200002-2-1-1-2-2112-21-1-1100003-3-3300003-3-330000000000000000000000000000000000
χ7644-4-44-4-4-2-24-44-2-22222122-22-1-11-2200002-2-1-1-2-2112-21-1-110000-333-30000-333-30000000000000000000000000000000000
χ7744-4-4-44-44-244-44-2-4-422-2-42-4422-22-20000-22224-2-2-24-42-2-2200000000000000000000000000000000000000000000000000
χ7844-4-4-44-4-2444-4-2422-4-4-22-42-222-2-4400004-422-24-2-2-222-2-2200000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-244-4-2-222221222-2-1-112-20000-22-1-1-2-211-22-111-100003-3-330000-333-30000000000000000000000000000000000
χ8044-4-4-44-4-2-244-4-2-222221222-2-1-112-20000-22-1-1-2-211-22-111-10000-333-300003-3-330000000000000000000000000000000000
χ8144-4-4-4-444-2-4444-2-4-422-24-2-4-4-2-2-2220000-2-222-42224422-2-200000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-24-444-2422-4-4-2-2422-2-2-2-4-4000044222-422-2-222-2-200000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-2-444-2-222221-2-222111220000-2-2-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ8444-4-4-4-44-2-2-444-2-222221-2-222111220000-2-2-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i4000000-4000000004i−4i000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i4000000-4000000004i−4i00000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i4000000-400000000−4i4i000000000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i4000000-400000000−4i4i00000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-4000000400000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-4000000400000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i200006-6-2000000002i−2i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i20000-66-2000000002i−2i00−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-40000004000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-40000004000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i200006-6-200000000−2i2i00−6i6i00000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i20000-66-200000000−2i2i006i−6i00000000000000000000000000000000000000000000000000000000

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