Finite Group Databasebeta

← Group #11809000

Character table — Group #11809000

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order1222222233666666666666662234466666666666121212122222222246666661212121212121212121212121212222244446666666666661212121244661212121212122222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1
χ6111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-11-1-1-1-1-1-111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1
χ9111111111111111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1
χ10111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111
χ11111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-1111
χ12111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1
χ13111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11
χ14111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-11111-1
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-11111-1
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-11
χ17222222222-1222-1-1-1-12-1-122-1222-122-1-1-1-1-1-1-1-1-1-1-1222222220000222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1000020-1-1-1-100000000000
χ18222222222-1222-1-1-1-12-1-122-1222-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000111111110000-20111100000000000
χ19222222222-1222-1-1-1-12-1-122-1222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222220000-222-1-1-1-111-2-2111111111122-2-200000000-1-1-1-1-1-1-1-10000-20111100000000000
χ20222222222-1222-1-1-1-12-1-122-1222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-222-1-1-1-111-2-21111111111-2-2220000000011111111000020-1-1-1-100000000000
χ21222222222-1222-1-1-1-12-1-122-12-2-2-1221111-1-1-1-1-1-1-1222222220000-2-2-21111-1-1-2-211-1-1-1-11111-2-22200000000-1-1-1-111110000-20-1-11100000000000
χ22222222222-1222-1-1-1-12-1-122-12-2-2-1221111-1-1-1-1-1-1-12222-2-2-2-20000-2-2-21111-1-1-2-211-1-1-1-1111122-2-2000000001111-1-1-1-100002011-1-100000000000
χ23222222222-1222-1-1-1-12-1-122-12-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-2222200002-2-211111122-1-11111-1-1-1-1-2-2-2-200000000-1-1-1-1111100002011-1-100000000000
χ24222222222-1222-1-1-1-12-1-122-12-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200002-2-211111122-1-11111-1-1-1-12222000000001111-1-1-1-10000-20-1-11100000000000
χ2522222222-12-1-1-12222-122-1-12-122-1222222-1-1-1-1-1-1-1-1-1-1-1000022222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100002222-1-1-1-100000000-1-1-1-1020000-1-1-1-10000000
χ2622222222-12-1-1-12222-122-1-12-122-1222222-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-22-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-211110000000011110-2000011110000000
χ2722222222-12-1-1-12222-122-1-12-122-1-2-22222-1-1-1-1-1-1-1111100002222-2-1-1-1-1-1-1-2-211-2-2111111110000-2-222-1-1-1-10000000011110-20000-1-1110000000
χ2822222222-12-1-1-12222-122-1-12-122-1-2-22222-1-1-1-1-1-1-111110000-2-2-2-2-2-1-1-1-1-1-1-2-211-2-211111111000022-2-2111100000000-1-1-1-102000011-1-10000000
χ2922222222-12-1-1-12222-122-1-12-1-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-100002222-21111112211-2-2-1-1-1-11111000022-2-2-1-1-1-100000000-1-1-1-10-2000011110000000
χ3022222222-12-1-1-12222-122-1-12-1-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-21111112211-2-2-1-1-1-111110000-2-2221111000000001111020000-1-1-1-10000000
χ3122222222-12-1-1-12222-122-1-12-1-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-11111000022222111111-2-2-1-1221111-1-1-1-10000-2-2-2-2-1-1-1-100000000111102000011-1-10000000
χ3222222222-12-1-1-12222-122-1-12-1-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-111110000-2-2-2-22111111-2-2-1-1221111-1-1-1-100002222111100000000-1-1-1-10-20000-1-1110000000
χ3322-2-2-22-22222-2-222-2-2-22-22-2-2200200000022-2-2-22-2000022-2-222-2-20000000000000000000000000000022-2-222-2-20000000000000000002-200000
χ3422-2-2-22-22222-2-222-2-2-22-22-2-2200200000022-2-2-22-2000022-2-2-2-22200000000000000000000000000000-2-22222-2-2000000000000000000-2200000
χ3522-2-2-22-22222-2-222-2-2-22-22-2-2200200000022-2-2-22-20000-2-22222-2-20000000000000000000000000000022-2-2-2-222000000000000000000-2200000
χ3622-2-2-22-22222-2-222-2-2-22-22-2-2200200000022-2-2-22-20000-2-222-2-22200000000000000000000000000000-2-222-2-2220000000000000000002-200000
χ372-222-22-2-222-22-2-2-2-2-2222-2-2220022-20000-2-22-2-22222-2-22-22-2000000000002-2000022-2-20000002-2000000002-22-200000000002-20000000000000
χ382-222-22-2-222-22-2-2-2-2-2222-2-2220022-20000-2-22-2-22222-2-2-22-22000000000002-2000022-2-2000000-2200000000-22-220000000000-220000000000000
χ392-222-22-2-222-22-2-2-2-2-2222-2-222002-220000-2-22-2-222-2-2222-22-200000000000-220000-2-222000000-22000000002-22-20000000000-220000000000000
χ402-222-22-2-222-22-2-2-2-2-2222-2-222002-220000-2-22-2-222-2-222-22-2200000000000-220000-2-2220000002-200000000-22-2200000000002-20000000000000
χ412-222-22-2-22-1-22-211112-1-1-2-2-1200-12-2−i3−i3i3i311-111-1-122-2-22-22-20000000−i3−i3i3i3-1100−i3i3-1-111−i3−i3i3i3002-200000000-11-11−i3−i3i3i3000000-11−i3i300000000000
χ422-222-22-2-22-1-22-211112-1-1-2-2-1200-12-2−i3−i3i3i311-111-1-122-2-2-22-220000000−i3−i3i3i3-1100−i3i3-1-111−i3−i3i3i300-22000000001-11-1i3i3−i3−i30000001-1i3−i300000000000
χ432-222-22-2-22-1-22-211112-1-1-2-2-1200-12-2i3i3−i3−i311-111-1-122-2-22-22-20000000i3i3−i3−i3-1100i3−i3-1-111i3i3−i3−i3002-200000000-11-11i3i3−i3−i3000000-11i3−i300000000000
χ442-222-22-2-22-1-22-211112-1-1-2-2-1200-12-2i3i3−i3−i311-111-1-122-2-2-22-220000000i3i3−i3−i3-1100i3−i3-1-111i3i3−i3−i300-22000000001-11-1−i3−i3i3i30000001-1−i3i300000000000
χ452-222-22-2-22-1-22-211112-1-1-2-2-1200-1-22−i3−i3i3i311-111-1-1-2-2222-22-20000000−i3−i3i3i31-100i3−i311-1-1i3i3−i3−i300-2200000000-11-11−i3−i3i3i30000001-1i3−i300000000000
χ462-222-22-2-22-1-22-211112-1-1-2-2-1200-1-22−i3−i3i3i311-111-1-1-2-222-22-220000000−i3−i3i3i31-100i3−i311-1-1i3i3−i3−i3002-2000000001-11-1i3i3−i3−i3000000-11−i3i300000000000
χ472-222-22-2-22-1-22-211112-1-1-2-2-1200-1-22i3i3−i3−i311-111-1-1-2-2222-22-20000000i3i3−i3−i31-100−i3i311-1-1−i3−i3i3i300-2200000000-11-11i3i3−i3−i30000001-1−i3i300000000000
χ482-222-22-2-22-1-22-211112-1-1-2-2-1200-1-22i3i3−i3−i311-111-1-1-2-222-22-220000000i3i3−i3−i31-100−i3i311-1-1−i3−i3i3i3002-2000000001-11-1−i3−i3i3i3000000-11i3−i300000000000
χ492-22-22-2-2222-2-2-22-22-22-2222-2-20020000002-2-22-2-22000000002-22-20000000000000000000002-20000002-22-200002-22-20000000000000000002-20
χ502-22-22-2-2222-2-2-22-22-22-2222-2-20020000002-2-22-2-22000000002-22-2000000000000000000000-220000002-22-20000-22-22000000000000000000-220
χ512-22-22-2-2222-2-2-22-22-22-2222-2-20020000002-2-22-2-2200000000-22-220000000000000000000002-2000000-22-2200002-22-2000000000000000000-220
χ522-22-22-2-2222-2-2-22-22-22-2222-2-20020000002-2-22-2-2200000000-22-22000000000000000000000-22000000-22-220000-22-220000000000000000002-20
χ532-2-22-2-22222-2222-2-22-2-2-22-22-22-22002-22-22-22-22-2-2000000002-2-2202-22-22-2000000000000000000002-22-2-220000000000000000002-2000000000
χ542-2-22-2-22222-2222-2-22-2-2-22-22-22-22002-22-22-22-22-2-200000000-222-202-22-22-200000000000000000000-22-222-2000000000000000000-22000000000
χ552-2-22-2-22222-2222-2-22-2-2-22-22-2-22200-22-222-22-22-2-2000000002-2-220-22-22-2200000000000000000000-222-2-22000000000000000000-22000000000
χ562-2-22-2-22222-2222-2-22-2-2-22-22-2-22200-22-222-22-22-2-200000000-222-20-22-22-22000000000000000000002-2-222-20000000000000000002-2000000000
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χ582-2-22-2-222-121-1-12-2-221-2-2-11212-2-1002-22-2-11-11-1113−33−30000-222-20-11-11-11003−3003−33−33−33−3000000-221-1-1100000000−3−3330000001-1−330000000
χ592-2-22-2-222-121-1-12-2-221-2-2-11212-2-1002-22-2-11-11-111−33−3300002-2-220-11-11-1100−3300−33−33−33−330000002-2-111-100000000−3−333000000-11−330000000
χ602-2-22-2-222-121-1-12-2-221-2-2-11212-2-1002-22-2-11-11-111−33−330000-222-20-11-11-1100−3300−33−33−33−33000000-221-1-110000000033−3−30000001-13−30000000
χ612-2-22-2-222-121-1-12-2-221-2-2-1121-22-100-22-22-11-11-1113−33−300002-2-2201-11-11-100−33003−33−3−33−33000000-22-111-10000000033−3−30000001-1−330000000
χ622-2-22-2-222-121-1-12-2-221-2-2-1121-22-100-22-22-11-11-1113−33−30000-222-201-11-11-100−33003−33−3−33−330000002-21-1-1100000000−3−333000000-113−30000000
χ632-2-22-2-222-121-1-12-2-221-2-2-1121-22-100-22-22-11-11-111−33−3300002-2-2201-11-11-1003−300−33−333−33−3000000-22-111-100000000−3−3330000001-13−30000000
χ642-2-22-2-222-121-1-12-2-221-2-2-1121-22-100-22-22-11-11-111−33−330000-222-201-11-11-1003−300−33−333−33−30000002-21-1-110000000033−3−3000000-11−330000000
χ652-2-2-2222-222-2-22-2-222-22-2-22-22002000000-2-2-2222-200002-2-22000000000000000000000000000002-20000002-2-2200002-22-20000000000002-2000
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χ8444-444-4-4-4-2-2-2-222-2-222222-2-2200100−2i32i32i3−2i3-1111-1-1-1−232323−2300000000000i3−i3−i3i30000003−3−333i−3i−3i3i00000000000000000000000000000000000000000
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χ9044-4-4-44-44-24-22244-4-424-4-22-4-200-2000000-2-2222-2200000000-4-4440000000000000000000000000000022-2-200000000000000000000000000000
χ914-444-44-4-4-242-22-4-4-4-4-244224-200-24-4000022-222-2-2-2-2220000000000000004-40000-2-222000000000000000000000000000000000000000000000
χ924-444-44-4-4-242-22-4-4-4-4-244224-200-2-44000022-222-2-222-2-2000000000000000-44000022-2-2000000000000000000000000000000000000000000000
χ934-444-44-4-4-2-22-222222-2-2-222-2-20014-4−2i3−2i32i32i3-1-11-1-111-2-22200000000000i3i3−i3−i3-2200−2i32i311-1-1i3i3−i3−i300000000000000000000000000000000000000000
χ944-444-44-4-4-2-22-222222-2-2-222-2-20014-42i32i3−2i3−2i3-1-11-1-111-2-22200000000000−i3−i3i3i3-22002i3−2i311-1-1−i3−i3i3i300000000000000000000000000000000000000000
χ954-444-44-4-4-2-22-222222-2-2-222-2-2001-44−2i3−2i32i32i3-1-11-1-11122-2-200000000000i3i3−i3−i32-2002i3−2i3-1-111−i3−i3i3i300000000000000000000000000000000000000000
χ964-444-44-4-4-2-22-222222-2-2-222-2-2001-442i32i3−2i3−2i3-1-11-1-11122-2-200000000000−i3−i3i3i32-200−2i32i3-1-111i3i3−i3−i300000000000000000000000000000000000000000
χ974-44-44-4-444-2-4-4-4-22-2242-2442-400-2000000-222-222-20000000000000000000000000000000004-400000000000000-22-22000000000000000000000
χ984-44-44-4-444-2-4-4-4-22-2242-2442-400-2000000-222-222-2000000000000000000000000000000000-44000000000000002-22-2000000000000000000000
χ994-44-44-4-44-242224-44-4-2-44-2-2-4200-2000000-222-222-2000000004-44-400000000000000000000000000000-22-2200000000000000000000000000000
χ1004-44-44-4-44-242224-44-4-2-44-2-2-4200-2000000-222-222-200000000-44-44000000000000000000000000000002-22-200000000000000000000000000000
χ1014-4-44-4-4444-2-444-222-2-4224-4-2-44-4-200-22-22-22-22-22200000000000004-4-22-220000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-4444-2-444-222-2-4224-4-2-4-44-2002-22-2-22-22-2220000000000000-442-22-20000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-22-2-2-222-2222-22-224-4100-22-221-11-11-1-123−2323−23000000000-221-11-10023−2300−33−33−33−3300000000000000000000000000000000000000000
χ1044-4-44-4-444-2-22-2-2-222-2222-22-224-4100-22-221-11-11-1-1−2323−2323000000000-221-11-100−2323003−33−33−33−300000000000000000000000000000000000000000
χ1054-4-44-4-444-2-22-2-2-222-2222-22-22-441002-22-21-11-11-1-123−2323−230000000002-2-11-1100−232300−33−333−33−300000000000000000000000000000000000000000
χ1064-4-44-4-444-2-22-2-2-222-2222-22-22-441002-22-21-11-11-1-1−2323−23230000000002-2-11-110023−23003−33−3−33−3300000000000000000000000000000000000000000
χ1074-4-4-4444-44-2-4-4422-2-2-4-22-442400-2000000222-2-2-2200004-4-440000000000000000000000000000000000000-222-20000000000000000000000000
χ1084-4-4-4444-44-2-4-4422-2-2-4-22-442400-2000000222-2-2-220000-444-400000000000000000000000000000000000002-2-220000000000000000000000000
χ1094-4-4-4444-4-2422-2-4-44424-42-2-4-200-2000000222-2-2-2200000000000000000000000000000000000004-400000000000000-22-2200000000000000000
χ1104-4-4-4444-4-2422-2-4-44424-42-2-4-200-2000000222-2-2-220000000000000000000000000000000000000-44000000000000002-22-200000000000000000
χ111888-8-8-88-8-4-4-44-44-44-4-44-44444002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-4-444-4-4444-44-444-400200000022-2-2-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-8-88-4-4444-44-44-44-4-4-4440020000002-2-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-8888-8-4-444-444-4-44-444-44-4002000000-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000000000

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