Finite Group Databasebeta

← Group #11785498

Character table — Group #11785498

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order124422233444661212121236666666668888121212121212121212126612122424242424242424242424242424242488884444444412121212121212121212121212121212224488
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
χ51111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ911111-1-111-1-11111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1-1-1
χ1011111-1-111-1-11111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1-1-1
χ1111111-1-111-1-11111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-11-1111
χ1211111-1-111-1-11111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-11-1111
χ1311111-1-111-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-11-1-1
χ1411111-1-111-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-11-1-1
χ1511111-1-111-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1-11-111
χ1611111-1-111-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1-11-111
χ1722222222-12222-122-1-1-12-1-1-1-122-1-1222222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1000000
χ1822222222-12222-122-1-1-12-1-1-1-122-1-1222222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-20000000011111111000000
χ1922222222-12222-122-1-1-12-1-1-1-122-1-1-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-2-2111111-2-21111110000000022-2-200000000-1-1-1-11111000000
χ2022222222-12222-122-1-1-12-1-1-1-122-1-1-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-2-2111111-2-211111100000000-2-222000000001111-1-1-1-1000000
χ212222222-12222-12-1-122-1-12-1-1-1-1-1222222-1-122-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000000000
χ222222222-12222-12-1-122-1-12-1-1-1-1-1222222-1-122-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200001111111100000000000000
χ232222222-12222-12-1-122-1-12-1-1-1-1-122-2-2-2-2-1-122-1-1-12-1-1-1-1-1-111-2-2111111-2-21111000022-2-20000-1-1-1-1111100000000000000
χ242222222-12222-12-1-122-1-12-1-1-1-1-122-2-2-2-2-1-122-1-1-12-1-1-1-1-1-111-2-2111111-2-211110000-2-22200001111-1-1-1-100000000000000
χ2522222-2-22-1-2-222-122-1-1-12-1-1-1-1-2-21122-2-2-2-211-1-12-1-1-1111122-1-1-1-1-1-1-2-2111111000000002i−2i2i−2i00000000−i−iii−i−iii000000
χ2622222-2-22-1-2-222-122-1-1-12-1-1-1-1-2-21122-2-2-2-211-1-12-1-1-1111122-1-1-1-1-1-1-2-211111100000000−2i2i−2i2i00000000ii−i−iii−i−i000000
χ2722222-2-22-1-2-222-122-1-1-12-1-1-1-1-2-211-2-222-2-211-1-12-1-1-11111-2-211111122-1-1-1-1-1-1000000002i−2i−2i2i00000000−i−iiiii−i−i000000
χ2822222-2-22-1-2-222-122-1-1-12-1-1-1-1-2-211-2-222-2-211-1-12-1-1-11111-2-211111122-1-1-1-1-1-100000000−2i2i2i−2i00000000ii−i−i−i−iii000000
χ2922222-2-2-12-2-22-12-1-122-1-12-1-1-111-2-222-2-211-2-2-1-1-12-1-11111-1-122-1-1-1-111-2-2111100002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ3022222-2-2-12-2-22-12-1-122-1-12-1-1-111-2-222-2-211-2-2-1-1-12-1-11111-1-122-1-1-1-111-2-211110000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ3122222-2-2-12-2-22-12-1-122-1-12-1-1-111-2-2-2-22211-2-2-1-1-12-1-1111111-2-21111-1-122-1-1-1-100002i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ3222222-2-2-12-2-22-12-1-122-1-12-1-1-111-2-2-2-22211-2-2-1-1-12-1-1111111-2-21111-1-122-1-1-1-10000−2i2i2i−2i0000ii−i−i−i−iii00000000000000
χ332222-22-2222-2-22222222-2-2-2-222-22-22i−2i2i−2i2-22-222-2-2-2-22-22-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ342222-22-2222-2-22222222-2-2-2-222-22-2−2i2i−2i2i2-22-222-2-2-2-22-22-2−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ352222-22-22-12-2-22-122-1-1-1-2111-12-2-112i−2i2i−2i2-2-11-1-1-2111-11-112i−2i−ii−i−iii2i−2i−ii−i−iii00000000000000000000−i3i3−i3i33−33−3000000
χ362222-22-22-12-2-22-122-1-1-1-2111-12-2-112i−2i2i−2i2-2-11-1-1-2111-11-112i−2i−ii−i−iii2i−2i−ii−i−iii00000000000000000000i3−i3i3−i3−33−33000000
χ372222-22-22-12-2-22-122-1-1-1-2111-12-2-11−2i2i−2i2i2-2-11-1-1-2111-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i00000000000000000000−i3i3−i3i3−33−33000000
χ382222-22-22-12-2-22-122-1-1-1-2111-12-2-11−2i2i−2i2i2-2-11-1-1-2111-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i00000000000000000000i3−i3i3−i33−33−3000000
χ392222-22-2-122-2-2-12-1-122-11-211-1-112-22i−2i2i−2i-112-2-1-11-211-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000−i3i3−i3i33−33−300000000000000
χ402222-22-2-122-2-2-12-1-122-11-211-1-112-22i−2i2i−2i-112-2-1-11-211-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000i3−i3i3−i3−33−3300000000000000
χ412222-22-2-122-2-2-12-1-122-11-211-1-112-2−2i2i−2i2i-112-2-1-11-211-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000−i3i3−i3i3−33−3300000000000000
χ422222-22-2-122-2-2-12-1-122-11-211-1-112-2−2i2i−2i2i-112-2-1-11-211-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000i3−i3i3−i33−33−300000000000000
χ432222-2-2222-22-22222222-2-2-2-22-22-222i−2i−2i2i-22-2222-2-2-2-2-22-222i−2i2i−2i2i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ442222-2-2222-22-22222222-2-2-2-22-22-22−2i2i2i−2i-22-2222-2-2-2-2-22-22−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ452222-2-222-1-22-22-122-1-1-1-2111-1-221-12i−2i−2i2i-221-1-1-1-21111-11-12i−2i−ii−i−iii−2i2ii−iii−i−i000000000000000000003−3−33i3−i3−i3i3000000
χ462222-2-222-1-22-22-122-1-1-1-2111-1-221-12i−2i−2i2i-221-1-1-1-21111-11-12i−2i−ii−i−iii−2i2ii−iii−i−i00000000000000000000−333−3−i3i3i3−i3000000
χ472222-2-222-1-22-22-122-1-1-1-2111-1-221-1−2i2i2i−2i-221-1-1-1-21111-11-1−2i2ii−iii−i−i2i−2i−ii−i−iii000000000000000000003−3−33−i3i3i3−i3000000
χ482222-2-222-1-22-22-122-1-1-1-2111-1-221-1−2i2i2i−2i-221-1-1-1-21111-11-1−2i2ii−iii−i−i2i−2i−ii−i−iii00000000000000000000−333−3i3−i3−i3i3000000
χ492222-2-22-12-22-2-12-1-122-11-211-11-1-222i−2i−2i2i1-1-22-1-11-2111-11-1−ii2i−2i−i−iiii−i−2i2iii−i−i0000000000003−3−33i3−i3−i3i300000000000000
χ502222-2-22-12-22-2-12-1-122-11-211-11-1-222i−2i−2i2i1-1-22-1-11-2111-11-1−ii2i−2i−i−iiii−i−2i2iii−i−i000000000000−333−3−i3i3i3−i300000000000000
χ512222-2-22-12-22-2-12-1-122-11-211-11-1-22−2i2i2i−2i1-1-22-1-11-2111-11-1i−i−2i2iii−i−i−ii2i−2i−i−iii0000000000003−3−33−i3i3i3−i300000000000000
χ522222-2-22-12-22-2-12-1-122-11-211-11-1-22−2i2i2i−2i1-1-22-1-11-2111-11-1i−i−2i2iii−i−i−ii2i−2i−i−iii000000000000−333−3i3−i3−i3i300000000000000
χ5322-2-222222-2-2-222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-222-2-2000000000000000000000000000000000000000000002-2-2200
χ5422-2-222222-2-2-222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-222-2-200000000000000000000000000000000000000000000-222-200
χ5522-2-22-2-22222-222-2-2-2-2222222-2-2-2-200002222-2-2-2-2-2-2-2-2220000000000000000000000000000000000000000000022-2-200
χ5622-2-22-2-22222-222-2-2-2-2222222-2-2-2-200002222-2-2-2-2-2-2-2-22200000000000000000000000000000000000000000000-2-22200
χ5722-2-2-22-222-22222-2-2-2-22-2-2-2-222-22-20000-22-22-2-222222-2-22000000000000000022-2-200000000000000000000000000002-2
χ5822-2-2-22-222-22222-2-2-2-22-2-2-2-222-22-20000-22-22-2-222222-2-220000000000000000-2-2220000000000000000000000000000-22
χ5922-2-2-2-22222-2222-2-2-2-22-2-2-2-22-22-2200002-22-2-2-22222-222-2000000000000000022-2-20000000000000000000000000000-22
χ6022-2-2-2-22222-2222-2-2-2-22-2-2-2-22-22-2200002-22-2-2-22222-222-20000000000000000-2-22200000000000000000000000000002-2
χ614444444-2-2444-2-2-2-2-2-21-2-2111-2-2-2-24444-2-2-2-211-2-2111111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2111-2-2-2-2-4-4-4-4-2-2-2-211-2-21111112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6344444-4-4-2-2-4-44-2-2-2-2-2-21-2-2111222244-4-4222211-2-211-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ6444444-4-4-2-2-4-44-2-2-2-2-2-21-2-21112222-4-444222211-2-211-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ654444-44-4-2-24-4-4-2-2-2-2-2-2122-1-11-22-224i−4i4i−4i-22-221122-1-11-11-1−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ664444-44-4-2-24-4-4-2-2-2-2-2-2122-1-11-22-22−4i4i−4i4i-22-221122-1-11-11-12i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ674444-4-44-2-2-44-4-2-2-2-2-2-2122-1-112-22-24i−4i−4i4i2-22-21122-1-1-11-11−2i2i−2i2iii−i−i2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ684444-4-44-2-2-44-4-2-2-2-2-2-2122-1-112-22-2−4i4i4i−4i2-22-21122-1-1-11-112i−2i2i−2i−i−iii−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ6944-4-44444-2-4-4-44-2-4-422-24-2-2-2-244-2-20000-4-42222-4222-2-22200000000000000000000000000000000000000000000000000
χ7044-4-4444-24-4-4-4-2422-4-4-2-24-2-2-2-2-244000022-4-4222-422-2-22200000000000000000000000000000000000000000000000000
χ7144-4-4444-2-2-4-4-4-2-222221-2-2111-2-2-2-200002222-1-122-1-111-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ7244-4-4444-2-2-4-4-4-2-222221-2-2111-2-2-2-200002222-1-122-1-111-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ7344-4-44-4-44-244-44-2-4-422-24-2-2-2-2-4-422000044-2-222-422222-2-200000000000000000000000000000000000000000000000000
χ7444-4-44-4-4-2444-4-2422-4-4-2-24-2-2-222-4-40000-2-244222-42222-2-200000000000000000000000000000000000000000000000000
χ7544-4-44-4-4-2-244-4-2-222221-2-211122220000-2-2-2-2-1-122-1-1-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ7644-4-44-4-4-2-244-4-2-222221-2-211122220000-2-2-2-2-1-122-1-1-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ7744-4-4-44-44-2-4444-2-4-422-2-4222-24-4-220000-442-2224-2-2-2-222-200000000000000000000000000000000000000000000000000
χ7844-4-4-44-4-24-444-2422-4-4-22-422-2-224-400002-2-4422-24-2-2-222-200000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-2-444-2-22222122-1-11-22-2200002-22-2-1-1-2-2111-1-1100003-3-3300003-3-330000000000000000000000000000000000
χ8044-4-4-44-4-2-2-444-2-22222122-1-11-22-2200002-22-2-1-1-2-2111-1-110000-333-30000-333-30000000000000000000000000000000000
χ8144-4-4-4-444-24-444-2-4-422-2-4222-2-442-200004-4-22224-2-2-22-2-2200000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-244-44-2422-4-4-22-422-22-2-440000-224-422-24-2-22-2-2200000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-2-22222122-1-112-22-20000-22-22-1-1-2-211-111-100003-3-330000-333-30000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-2-22222122-1-112-22-20000-22-22-1-1-2-211-111-10000-333-300003-3-330000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i40000-40000000000004i−4i00000000000000000000000022−22−2i22i2000000000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i40000-40000000000004i−4i000000000000000000000000−22222i2−2i2000000000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i40000-4000000000000−4i4i00000000000000000000000022−222i2−2i2000000000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i40000-4000000000000−4i4i000000000000000000000000−2222−2i22i2000000000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-400004000000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-400004000000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i2006-6-20000000000002i−2i006i−6i000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i200-66-20000000000002i−2i00−6i6i000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-4000040000000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-4000040000000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i2006-6-2000000000000−2i2i00−6i6i000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i200-66-2000000000000−2i2i006i−6i000000000000000000000000000000000000000000000000000000

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