Finite Group Databasebeta

← Group #11873322

Character table — Group #11873322

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1222334444446666663666121212121212121212121212121212128812121212242424242424242424242424242424244444444444441212121212121212121212121212121224448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1111-1-1111-1-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-111-1-1-111
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-111-1-1-111
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111111-1-11-1-1111-1-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-111-1-11111-1-111-1-1-1-11-1-11-1-111
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-111-111-1-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-111-111-1-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11-1-111-1-1-1-111-1-111111-1-11-1-111
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000000000000000000000000000000022-2-20000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20022-2-200000000000000000000000000000000000000000000-2-2220000
χ19222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-200-2-222000000000000000000000000000000000000000000002-22-20000
χ20222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-200-2-22200000000000000000000000000000000000000000000-22-220000
χ2122222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10022002202020000-1-1-1-10000-1-1-1-100000000
χ2222222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20-20-2000011110000111100000000
χ2322222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-2111111002200220-20-20000-1-1110000-1-11100000000
χ2422222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-211111100-2-200-2-20202000011-1-1000011-1-100000000
χ2522222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1-1-1-1-12-2111122-1-1-1-1-1-1-2-2111111002200-2-20-2020000-1-111000011-1-100000000
χ2622222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1-1-1-1-12-2111122-1-1-1-1-1-1-2-211111100-2-20022020-2000011-1-10000-1-11100000000
χ2722222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1-1-1-1-1-221111-2-211111122-1-1-1-1-1-1002200-2-2020-20000-1-1-1-10000111100000000
χ2822222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1-1-1-1-1-221111-2-211111122-1-1-1-1-1-100-2-200220-202000011110000-1-1-1-100000000
χ292222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220022002020-1-1-1-10000-1-1-1-1000000000000
χ302222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200-20-20111100001111000000000000
χ312222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-1-1-1-1-2-2-1-1-1-111-2-2111111-2-2111122002200-20-20-1-1110000-1-111000000000000
χ322222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-1-1-1-1-2-2-1-1-1-111-2-2111111-2-21111-2-200-2-200202011-1-1000011-1-1000000000000
χ332222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-1-1-1-12-21111-1-122-1-1-1-111-2-211112200-2-20020-20-1-1-1-100001111000000000000
χ342222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-1-1-1-12-21111-1-122-1-1-1-111-2-21111-2-2002200-202011110000-1-1-1-1000000000000
χ352222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-1-1-1-1-22111111-2-21111-1-122-1-1-1-12200-2-200-2020-1-111000011-1-1000000000000
χ362222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-1-1-1-1-22111111-2-21111-1-122-1-1-1-1-2-200220020-2011-1-10000-1-111000000000000
χ372-2-22222i−2i2i−2i2-2-2-2-2-22222-2-22i−2i2i−2i2i−2i2i−2i2-22-222-2-2002i−2i2i−2i00000000000000002i−2i002-20000002i−2i0000002-200000000000000
χ382-2-22222i−2i2i−2i2-2-2-2-2-22222-2-22i−2i2i−2i2i−2i2i−2i2-22-222-2-2002i−2i2i−2i0000000000000000−2i2i00-22000000−2i2i000000-2200000000000000
χ392-2-22222i−2i−2i2i-22-2-2-2-22222-2-22i−2i2i−2i−2i2i−2i2i-22-22-2-222002i−2i−2i2i0000000000000000002i−2i002-2000000002i−2i0000002-20000000000
χ402-2-22222i−2i−2i2i-22-2-2-2-22222-2-22i−2i2i−2i−2i2i−2i2i-22-22-2-222002i−2i−2i2i000000000000000000−2i2i00-2200000000−2i2i000000-220000000000
χ412-2-2222−2i2i2i−2i-22-2-2-2-22222-2-2−2i2i−2i2i2i−2i2i−2i-22-22-2-22200−2i2i2i−2i0000000000000000002i−2i00-22000000002i−2i000000-220000000000
χ422-2-2222−2i2i2i−2i-22-2-2-2-22222-2-2−2i2i−2i2i2i−2i2i−2i-22-22-2-22200−2i2i2i−2i000000000000000000−2i2i002-200000000−2i2i0000002-20000000000
χ432-2-2222−2i2i−2i2i2-2-2-2-2-22222-2-2−2i2i−2i2i−2i2i−2i2i2-22-222-2-200−2i2i−2i2i00000000000000002i−2i00-220000002i−2i000000-2200000000000000
χ442-2-2222−2i2i−2i2i2-2-2-2-2-22222-2-2−2i2i−2i2i−2i2i−2i2i2-22-222-2-200−2i2i−2i2i0000000000000000−2i2i002-2000000−2i2i0000002-200000000000000
χ452-2-222-12i−2i−2i2i-22-2-2112-1-1-1112i−2i−ii−2i2ii−i-221-111-1-100−iii−i003−333−3−300−i3i3−i3−i3i3i3002i−2i002-200000000−ii3−30000-11−i3i300000000
χ462-2-222-12i−2i−2i2i-22-2-2112-1-1-1112i−2i−ii−2i2ii−i-221-111-1-100−iii−i003−333−3−300−i3i3−i3−i3i3i300−2i2i00-2200000000i−i−3300001-1i3−i300000000
χ472-2-222-12i−2i−2i2i-22-2-2112-1-1-1112i−2i−ii−2i2ii−i-221-111-1-100−iii−i00−33−3−33300i3−i3i3i3−i3−i3002i−2i002-200000000−ii−330000-11i3−i300000000
χ482-2-222-12i−2i−2i2i-22-2-2112-1-1-1112i−2i−ii−2i2ii−i-221-111-1-100−iii−i00−33−3−33300i3−i3i3i3−i3−i300−2i2i00-2200000000i−i3−300001-1−i3i300000000
χ492-2-222-1−2i2i2i−2i-22-2-2112-1-1-111−2i2ii−i2i−2i−ii-221-111-1-100i−i−ii003−333−3−300i3−i3i3i3−i3−i3002i−2i00-2200000000−ii−3300001-1−i3i300000000
χ502-2-222-1−2i2i2i−2i-22-2-2112-1-1-111−2i2ii−i2i−2i−ii-221-111-1-100i−i−ii003−333−3−300i3−i3i3i3−i3−i300−2i2i002-200000000i−i3−30000-11i3−i300000000
χ512-2-222-1−2i2i2i−2i-22-2-2112-1-1-111−2i2ii−i2i−2i−ii-221-111-1-100i−i−ii00−33−3−33300−i3i3−i3−i3i3i3002i−2i00-2200000000−ii3−300001-1i3−i300000000
χ522-2-222-1−2i2i2i−2i-22-2-2112-1-1-111−2i2ii−i2i−2i−ii-221-111-1-100i−i−ii00−33−3−33300−i3i3−i3−i3i3i300−2i2i002-200000000i−i−330000-11−i3i300000000
χ532-2-22-122i−2i2i−2i2-211-2-2-12-1-111−ii2i−2i−ii2i−2i-112-2-1-11100−ii−ii−i3i300−i3i3−i3i33−3003−33−32i−2i002-2000000−ii3−30000-11−i3i3000000000000
χ542-2-22-122i−2i2i−2i2-211-2-2-12-1-111−ii2i−2i−ii2i−2i-112-2-1-11100−ii−ii−i3i300−i3i3−i3i33−3003−33−3−2i2i00-22000000i−i−3300001-1i3−i3000000000000
χ552-2-22-122i−2i2i−2i2-211-2-2-12-1-111−ii2i−2i−ii2i−2i-112-2-1-11100−ii−iii3−i300i3−i3i3−i3−3300−33−332i−2i002-2000000−ii−330000-11i3−i3000000000000
χ562-2-22-122i−2i2i−2i2-211-2-2-12-1-111−ii2i−2i−ii2i−2i-112-2-1-11100−ii−iii3−i300i3−i3i3−i3−3300−33−33−2i2i00-22000000i−i3−300001-1−i3i3000000000000
χ572-2-22-12−2i2i−2i2i2-211-2-2-12-1-111i−i−2i2ii−i−2i2i-112-2-1-11100i−ii−i−i3i300−i3i3−i3i3−3300−33−332i−2i00-22000000−ii3−300001-1i3−i3000000000000
χ582-2-22-12−2i2i−2i2i2-211-2-2-12-1-111i−i−2i2ii−i−2i2i-112-2-1-11100i−ii−i−i3i300−i3i3−i3i3−3300−33−33−2i2i002-2000000i−i−330000-11−i3i3000000000000
χ592-2-22-12−2i2i−2i2i2-211-2-2-12-1-111i−i−2i2ii−i−2i2i-112-2-1-11100i−ii−ii3−i300i3−i3i3−i33−3003−33−32i−2i00-22000000−ii−3300001-1−i3i3000000000000
χ602-2-22-12−2i2i−2i2i2-211-2-2-12-1-111i−i−2i2ii−i−2i2i-112-2-1-11100i−ii−ii3−i300i3−i3i3−i33−3003−33−3−2i2i002-2000000i−i3−30000-11i3−i3000000000000
χ6144444-244-4-4-4-444-2-24-2-2-2-2-244-2-2-4-422-4-422222200-2-2220000000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-444-2-24-2-2-2-2-2-4-42244-2-2-4-42222220022-2-20000000000000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-2-244-24-2-2-2-2-2-24422-4-422-4-4222200-2-2220000000000000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-2-244-24-2-2-2-222-4-4-2-24422-4-422220022-2-20000000000000000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111441111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111-4-411112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-222222222-1-1-1-10011-1-100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-222222222-1-1-1-10011-1-10000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-100-1-11100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-22222-1-1-1-100-1-1110000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-211114-4-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-21111-44-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7344-4-4440000004-44-4-4-44-44-400000000000000000000000000000000000000000000000000000000000000000000000022−22
χ7444-4-4440000004-44-4-4-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000−2222
χ754-44-444000000-44-44-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000022−2200
χ764-44-444000000-44-44-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000−222200
χ774-4-444-24i−4i4i−4i4-4-4-4224-2-2-2224i−4i−2i2i4i−4i−2i2i4-4-22-2-22200−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ784-4-444-2−4i4i−4i4i4-4-4-4224-2-2-222−4i4i2i−2i−4i4i2i−2i4-4-22-2-222002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ794-4-44-244i−4i−4i4i-4422-4-4-24-2-222−2i2i4i−4i2i−2i−4i4i2-2-4422-2-200−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ804-4-44-24−4i4i4i−4i-4422-4-4-24-2-2222i−2i−4i4i−2i2i4i−4i2-2-4422-2-2002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ814-4-44-2-24i−4i4i−4i4-42222-2-211-1-1−2i2i−2i2i−2i2i−2i2i-22-2211-1-100i−ii−i−2i32i300i3−i3i3−i323−2300−33−33000000000000000000000000000000000000
χ824-4-44-2-24i−4i4i−4i4-42222-2-211-1-1−2i2i−2i2i−2i2i−2i2i-22-2211-1-100i−ii−i2i3−2i300−i3i3−i3i3−2323003−33−3000000000000000000000000000000000000
χ834-4-44-2-24i−4i−4i4i-442222-2-211-1-1−2i2i−2i2i2i−2i2i−2i2-22-2-1-11100i−i−ii0023−23−3−33300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ844-4-44-2-24i−4i−4i4i-442222-2-211-1-1−2i2i−2i2i2i−2i2i−2i2-22-2-1-11100i−i−ii00−232333−3−3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ854-4-44-2-2−4i4i4i−4i-442222-2-211-1-12i−2i2i−2i−2i2i−2i2i2-22-2-1-11100−iii−i0023−23−3−333002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ864-4-44-2-2−4i4i4i−4i-442222-2-211-1-12i−2i2i−2i−2i2i−2i2i2-22-2-1-11100−iii−i00−232333−3−300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ874-4-44-2-2−4i4i−4i4i4-42222-2-211-1-12i−2i2i−2i2i−2i2i−2i-22-2211-1-100−ii−ii−2i32i300i3−i3i3−i3−2323003−33−3000000000000000000000000000000000000
χ884-4-44-2-2−4i4i−4i4i4-42222-2-211-1-12i−2i2i−2i2i−2i2i−2i-22-2211-1-100−ii−ii2i3−2i300−i3i3−i3i323−2300−33−33000000000000000000000000000000000000
χ8988-8-88-40000008-8-44-84-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-48000000-448-84-8-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4000000-44-44442-22-20000000000006i−6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4000000-44-44442-22-2000000000000−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-88-88-4000000-884-4-84-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-480000004-4-884-8-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-40000004-44-4442-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40000004-44-4442-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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