Finite Group Databasebeta

← Group #11817820

Character table — Group #11817820

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order12222222336666666666666634444446666666121212121212121212121212444444441212121212121212121212121212121212121212121212121212224444441212121212121212121212124466121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-11
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1111-1-1-1-111-1-111-11
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111-1-1-11111-1-111-1-11-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-1-11
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1111-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-11-111-1-111-1-1-1-1111-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-11-1-111-1-11111-1-1-11
χ17222222222-122-1-1-12-1222-1-1-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-122-1-1-12-1222-1-1-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-211111111000000
χ19222222222-122-1-1-12-1222-1-1-12-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-11111111122-2-20000000000000000-22-1-11111-1-1000000
χ20222222222-122-1-1-12-1222-1-1-12-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-111111111-2-22200000000000000002-211-1-1-1-111000000
χ21222222222-122-1-1-12-1222-1-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-1111122220000000000000000-2-2-1-1-1-11111000000
χ22222222222-122-1-1-12-1222-1-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-11111-2-2-2-20000000000000000221111-1-1-1-1000000
χ23222222222-122-1-1-12-1222-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-122-2-200000000000000002-2-1-111-1-111000000
χ24222222222-122-1-1-12-1222-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-1-2-2220000000000000000-2211-1-111-1-1000000
χ2522222222-12-1-1222-12-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1222-12-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-21111111111110000000000000000
χ2722222222-12-1-1222-12-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000022-2-2-1-1-1-1111111110000000000000000
χ2822222222-12-1-1222-12-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111111122-2-2-2-2-1-1-1-1111111110000-2-2221111-1-1-1-1-1-1-1-10000000000000000
χ2922222222-12-1-1222-12-1-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000-2-2-2-21111-1-1-1-111110000000000000000
χ3022222222-12-1-1222-12-1-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-222-2-21111-1-1-1-1111100002222-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1222-12-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000-2-22211111111-1-1-1-10000000000000000
χ3222222222-12-1-1222-12-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2222211111111-2-2-2-22211111111-1-1-1-1000022-2-2-1-1-1-1-1-1-1-111110000000000000000
χ33222-2-2-22-2222-22-2-2222-2-2-2-22-222-200002-2-2-2-22222-2-20000000000002i2i−2i−2i000000002-2000022-2-2000000000000002i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000
χ34222-2-2-22-2222-22-2-2222-2-2-2-22-222-200002-2-2-2-22222-2-2000000000000−2i−2i2i2i000000002-2000022-2-200000000000000−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ35222-2-2-22-2222-22-2-2222-2-2-2-22-22-2200002-2-2-2-222-2-2220000000000002i2i−2i−2i00000000-220000-2-22200000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000
χ36222-2-2-22-2222-22-2-2222-2-2-2-22-22-2200002-2-2-2-222-2-222000000000000−2i−2i2i2i00000000-220000-2-222000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ37222-2-2-22-2-12-112-2-2-12-111-2-221-12-20000-11111-1-1-1-111−i3−i3i3i3−i3−i3i3i300002i2i−2i−2i3333−3−3−3−32-20000-1-111−i3−i3i3i3−i3−i3i3i30000002i−2i33−3−3−i−iii−i−iii0000000000000000
χ38222-2-2-22-2-12-112-2-2-12-111-2-221-12-20000-11111-1-1-1-111−i3−i3i3i3−i3−i3i3i30000−2i−2i2i2i−3−3−3−333332-20000-1-111−i3−i3i3i3−i3−i3i3i3000000−2i2i−3−333ii−i−iii−i−i0000000000000000
χ39222-2-2-22-2-12-112-2-2-12-111-2-221-12-20000-11111-1-1-1-111i3i3−i3−i3i3i3−i3−i300002i2i−2i−2i−3−3−3−333332-20000-1-111i3i3−i3−i3i3i3−i3−i30000002i−2i−3−333−i−iii−i−iii0000000000000000
χ40222-2-2-22-2-12-112-2-2-12-111-2-221-12-20000-11111-1-1-1-111i3i3−i3−i3i3i3−i3−i30000−2i−2i2i2i3333−3−3−3−32-20000-1-111i3i3−i3−i3i3i3−i3−i3000000−2i2i33−3−3ii−i−iii−i−i0000000000000000
χ41222-2-2-22-2-12-112-2-2-12-111-2-221-1-220000-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i300002i2i−2i−2i3333−3−3−3−3-22000011-1-1−i3−i3i3i3i3i3−i3−i3000000−2i2i−3−333−i−iiiii−i−i0000000000000000
χ42222-2-2-22-2-12-112-2-2-12-111-2-221-1-220000-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i30000−2i−2i2i2i−3−3−3−33333-22000011-1-1−i3−i3i3i3i3i3−i3−i30000002i−2i33−3−3ii−i−i−i−iii0000000000000000
χ43222-2-2-22-2-12-112-2-2-12-111-2-221-1-220000-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i300002i2i−2i−2i−3−3−3−33333-22000011-1-1i3i3−i3−i3−i3−i3i3i3000000−2i2i33−3−3−i−iiiii−i−i0000000000000000
χ44222-2-2-22-2-12-112-2-2-12-111-2-221-1-220000-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i30000−2i−2i2i2i3333−3−3−3−3-22000011-1-1i3i3−i3−i3−i3−i3i3i30000002i−2i−3−333ii−i−i−i−iii0000000000000000
χ4522-2-2-22-22222-2222-2-2-22-2-2-2-222000000222-2-2-2-20000000000002i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000002-2000000000000000000002-20000002i−2i0000
χ4622-2-2-22-22222-2222-2-2-22-2-2-2-222000000222-2-2-2-20000000000002i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000-2200000000000000000000-22000000−2i2i0000
χ4722-2-2-22-22222-2222-2-2-22-2-2-2-222000000222-2-2-2-2000000000000−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000002-2000000000000000000002-2000000−2i2i0000
χ4822-2-2-22-22222-2222-2-2-22-2-2-2-222000000222-2-2-2-2000000000000−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000-2200000000000000000000-220000002i−2i0000
χ492-222-2-2-2222-22-22-222-2-2-22-2-222002i−2i00-22-22-22-200002i−2i2i−2i00002i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i−2i002i−2i0000002i−2i2i−2i00000000000000002-22-200000000000000000000
χ502-222-2-2-2222-22-22-222-2-2-22-2-222002i−2i00-22-22-22-200002i−2i2i−2i0000−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i002i−2i0000002i−2i2i−2i0000000000000000-22-2200000000000000000000
χ512-222-2-2-2222-22-22-222-2-2-22-2-22200−2i2i00-22-22-22-20000−2i2i−2i2i00002i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i00−2i2i000000−2i2i−2i2i0000000000000000-22-2200000000000000000000
χ522-222-2-2-2222-22-22-222-2-2-22-2-22200−2i2i00-22-22-22-20000−2i2i−2i2i0000−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i00−2i2i000000−2i2i−2i2i00000000000000002-22-200000000000000000000
χ532-222-2-2-22-121-1-22-2-121112-2-2-1-1002i−2i001-11-11-11−i3i3−i3i3−ii−ii3−33−32i−2i2i−2i2-22-2−ii−ii−ii−ii002i−2i00−i3i3−i3i3−ii−ii3−33−3000000003−33−3-11-11−i3i3−i3i30000000000000000
χ542-222-2-2-22-121-1-22-2-121112-2-2-1-1002i−2i001-11-11-11−i3i3−i3i3−ii−ii3−33−3−2i2i−2i2i-22-22i−ii−ii−ii−i002i−2i00−i3i3−i3i3−ii−ii3−33−300000000−33−331-11-1i3−i3i3−i30000000000000000
χ552-222-2-2-22-121-1-22-2-121112-2-2-1-1002i−2i001-11-11-11i3−i3i3−i3−ii−ii−33−332i−2i2i−2i2-22-2−ii−ii−ii−ii002i−2i00i3−i3i3−i3−ii−ii−33−3300000000−33−33-11-11i3−i3i3−i30000000000000000
χ562-222-2-2-22-121-1-22-2-121112-2-2-1-1002i−2i001-11-11-11i3−i3i3−i3−ii−ii−33−33−2i2i−2i2i-22-22i−ii−ii−ii−i002i−2i00i3−i3i3−i3−ii−ii−33−33000000003−33−31-11-1−i3i3−i3i30000000000000000
χ572-222-2-2-22-121-1-22-2-121112-2-2-1-100−2i2i001-11-11-11−i3i3−i3i3i−ii−i−33−332i−2i2i−2i-22-22−ii−ii−ii−ii00−2i2i00−i3i3−i3i3i−ii−i−33−33000000003−33−31-11-1i3−i3i3−i30000000000000000
χ582-222-2-2-22-121-1-22-2-121112-2-2-1-100−2i2i001-11-11-11−i3i3−i3i3i−ii−i−33−33−2i2i−2i2i2-22-2i−ii−ii−ii−i00−2i2i00−i3i3−i3i3i−ii−i−33−3300000000−33−33-11-11−i3i3−i3i30000000000000000
χ592-222-2-2-22-121-1-22-2-121112-2-2-1-100−2i2i001-11-11-11i3−i3i3−i3i−ii−i3−33−32i−2i2i−2i-22-22−ii−ii−ii−ii00−2i2i00i3−i3i3−i3i−ii−i3−33−300000000−33−331-11-1−i3i3−i3i30000000000000000
χ602-222-2-2-22-121-1-22-2-121112-2-2-1-100−2i2i001-11-11-11i3−i3i3−i3i−ii−i3−33−3−2i2i−2i2i2-22-2i−ii−ii−ii−i00−2i2i00i3−i3i3−i3i−ii−i3−33−3000000003−33−3-11-11i3−i3i3−i30000000000000000
χ612-22-222-2-222-2-2-2-2222-222-22-2-2200002i−2i-2-22-222-2000000002i−2i−2i2i00002i−2i−2i2i0000000000002i−2i000000002i−2i−2i2i00002-200-222-22i−2i−2i2i00000000000000000000
χ622-22-222-2-222-2-2-2-2222-222-22-2-2200002i−2i-2-22-222-2000000002i−2i−2i2i0000−2i2i2i−2i0000000000002i−2i000000002i−2i−2i2i0000-22002-2-22−2i2i2i−2i00000000000000000000
χ632-22-222-2-222-2-2-2-2222-222-22-2-220000−2i2i-2-22-222-200000000−2i2i2i−2i00002i−2i−2i2i000000000000−2i2i00000000−2i2i2i−2i0000-22002-2-222i−2i−2i2i00000000000000000000
χ642-22-222-2-222-2-2-2-2222-222-22-2-220000−2i2i-2-22-222-200000000−2i2i2i−2i0000−2i2i2i−2i000000000000−2i2i00000000−2i2i2i−2i00002-200-222-2−2i2i2i−2i00000000000000000000
χ652-22-222-2-2-1211-2-22-121-1-1-22-21-100002i−2i11-11-1-11−i3i3i3−i33−3−33−iii−i00002i−2i−2i2ii3−i3i3−i3−i3i3−i3i300002i−2i−i3i3i3−i33−3−33−iii−i00002-2001-1-11−iii−i3−3−330000000000000000
χ662-22-222-2-2-1211-2-22-121-1-1-22-21-100002i−2i11-11-1-11−i3i3i3−i33−3−33−iii−i0000−2i2i2i−2i−i3i3−i3i3i3−i3i3−i300002i−2i−i3i3i3−i33−3−33−iii−i0000-2200-111-1i−i−ii−333−30000000000000000
χ672-22-222-2-2-1211-2-22-121-1-1-22-21-100002i−2i11-11-1-11i3−i3−i3i3−333−3−iii−i00002i−2i−2i2i−i3i3−i3i3i3−i3i3−i300002i−2ii3−i3−i3i3−333−3−iii−i00002-2001-1-11−iii−i−333−30000000000000000
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Here i is the imaginary unit (i² = −1).