Finite Group Databasebeta

← Group #11788850

Character table — Group #11788850

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122222222336666663666666666666666666644666612121212121212121212121212121212444444442444661212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-11-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−i1-11-111-1-1ii−i−iii−i−i11-1-11-11-1i−i
χ101111-1-11-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−i−i−iii1-1-1111-1-1ii−i−i−i−iii-1-111-11-11−ii
χ111111-1-11-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i-111-1-1-111−i−iiiii−i−i11-1-1-11-11−ii
χ121111-1-11-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iii−i−iii-11-11-1-111−i−iii−i−iii-1-1111-11-1i−i
χ131111-1-11-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−iii−i−i-11-11-1-111ii−i−iii−i−i-1-1111-11-1−ii
χ141111-1-11-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−iii-111-1-1-111ii−i−i−i−iii11-1-1-11-11i−i
χ151111-1-11-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii−i−iiiii−i−i1-1-1111-1-1−i−iiiii−i−i-1-111-11-11i−i
χ161111-1-11-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii−i−iii−i−iii1-11-111-1-1−i−iii−i−iii11-1-11-11-1−ii
χ172222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ182222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ192222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-1-1-1-1-2-2-2-211111111111122220000-2-2001111-1-1-1-100000000000000
χ202222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-1-1-1-1-2-2-2-2111111111111-2-2-2-200002200-1-1-1-1111100000000000000
χ21222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ22222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ23222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-12-1-1-1-12-2-2-1-1-1-11111-2-21111-2-211110000222200-2-200000000-1-1-1-11111000000
χ24222222222-12-122-1-12-1-1-1-1-12222-1-1-1-1-12-1-1-1-12-2-2-1-1-1-11111-2-21111-2-211110000-2-2-2-20022000000001111-1-1-1-1000000
χ252222-2-22-2-22-12-1-1-2-2-1-122-2-2-1-111-1-1-1111112-212i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii2i2i−2i−2i00002-200-1-111−i−iii00000000000000
χ262222-2-22-2-22-12-1-1-2-2-1-122-2-2-1-111-1-1-1111112-212i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii−2i−2i2i2i0000-220011-1-1ii−i−i00000000000000
χ272222-2-22-2-22-12-1-1-2-2-1-122-2-2-1-111-1-1-1111112-21−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i2i2i−2i−2i0000-220011-1-1−i−iii00000000000000
χ282222-2-22-2-22-12-1-1-2-2-1-122-2-2-1-111-1-1-1111112-21−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i−2i−2i2i2i00002-200-1-111ii−i−i00000000000000
χ292222-2-22-2-2-12-122112-1-1-11122-2-2-1-1-111-211-11-22i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii00002i2i−2i−2i002-200000000−i−iii-1-111000000
χ302222-2-22-2-2-12-122112-1-1-11122-2-2-1-1-111-211-11-22i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii0000−2i−2i2i2i00-2200000000ii−i−i11-1-1000000
χ312222-2-22-2-2-12-122112-1-1-11122-2-2-1-1-111-211-11-2−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i00002i2i−2i−2i00-2200000000−i−iii11-1-1000000
χ322222-2-22-2-2-12-122112-1-1-11122-2-2-1-1-111-211-11-2−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i0000−2i−2i2i2i002-200000000ii−i−i-1-111000000
χ33222-222-2-2-22222222222-22-2-2-22-222222222-2-2-200-2-2-2-2000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ34222-222-2-2-22222222222-22-2-2-22-222222222-2-2-200-2-2-2-200000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ35222-222-2-2-2-12-122-1-12-1-11-11-2-22-2-1-1-1-1-12-1-111-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ36222-222-2-2-2-12-122-1-12-1-11-11-2-22-2-1-1-1-1-12-1-111-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ37222-222-2-2-2-12-122-1-12-1-11-11-2-22-2-1-1-1-1-12-1-111-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ38222-222-2-2-2-12-122-1-12-1-11-11-2-22-2-1-1-1-1-12-1-111-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ39222-2-2-2-22222222-2-2222-2-22-2-2-22222-2-2-2-2-2-22200-2-222000000000000000000002-2-220000000000002-2-220000000000
χ40222-2-2-2-22222222-2-2222-2-22-2-2-22222-2-2-2-2-2-22200-2-22200000000000000000000-222-2000000000000-222-20000000000
χ41222-2-2-2-222-12-122112-1-111-1-2-2-22-1-1-111-2111-120011-1-13−3−330033−3−300−3−33300002-2-22000000000000-111-1−333−3000000
χ42222-2-2-2-222-12-122112-1-111-1-2-2-22-1-1-111-2111-120011-1-13−3−330033−3−300−3−3330000-222-20000000000001-1-113−3−33000000
χ43222-2-2-2-222-12-122112-1-111-1-2-2-22-1-1-111-2111-120011-1-1−333−300−3−3330033−3−300002-2-22000000000000-111-13−3−33000000
χ44222-2-2-2-222-12-122112-1-111-1-2-2-22-1-1-111-2111-120011-1-1−333−300−3−3330033−3−30000-222-20000000000001-1-11−333−3000000
χ4522-222-2-2-22222-2-2-2-222-22222-2222-2-222-2-2-2-2-2-2002-22-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ4622-222-2-2-22222-2-2-2-222-22222-2222-2-222-2-2-2-2-2-2002-22-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ4722-222-2-2-222-1211-2-2-1-1-2222-11-1-1-111-1-1111-2-2100-11-1100003−33−33−33−33−33−32i−2i2i−2i00000000−i3i3−i3i3−ii−ii00000000000000
χ4822-222-2-2-222-1211-2-2-1-1-2222-11-1-1-111-1-1111-2-2100-11-1100003−33−33−33−33−33−3−2i2i−2i2i00000000i3−i3i3−i3i−ii−i00000000000000
χ4922-222-2-2-222-1211-2-2-1-1-2222-11-1-1-111-1-1111-2-2100-11-110000−33−33−33−33−33−332i−2i2i−2i00000000i3−i3i3−i3−ii−ii00000000000000
χ5022-222-2-2-222-1211-2-2-1-1-2222-11-1-1-111-1-1111-2-2100-11-110000−33−33−33−33−33−33−2i2i−2i2i00000000−i3i3−i3i3i−ii−i00000000000000
χ5122-22-22-22-2222-2-22222-22-2-22-2-2-22-2-2-2-2222-222002-2-2200000000000000002-2-220000000000002-2-2200000000000000
χ5222-22-22-22-2222-2-22222-22-2-22-2-2-22-2-2-2-2222-222002-2-220000000000000000-222-2000000000000-222-200000000000000
χ5322-22-22-22-22-121122-1-1-22-2-2-1111-11111-1-1-1-22-100-111-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i32-2-2200000000−i3i3i3−i3-111-100000000000000
χ5422-22-22-22-22-121122-1-1-22-2-2-1111-11111-1-1-1-22-100-111-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3-222-200000000i3−i3−i3i31-1-1100000000000000
χ5522-22-22-22-22-121122-1-1-22-2-2-1111-11111-1-1-1-22-100-111-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i32-2-2200000000i3−i3−i3i3-111-100000000000000
χ5622-22-22-22-22-121122-1-1-22-2-2-1111-11111-1-1-1-22-100-111-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3-222-200000000−i3i3i3−i31-1-1100000000000000
χ5722-2-22-222-2222-2-2-2-222-2-22-2-222-22-2-222-2-2-222200-22-220000000000000000000000000000000000000000000022-2-200
χ5822-2-22-222-2222-2-2-2-222-2-22-2-222-22-2-222-2-2-222200-22-2200000000000000000000000000000000000000000000-2-22200
χ5922-2-2-222-22222-2-22222-2-2-22-22-222-2-2-2-22222-2-200-222-2000000000000000000000000000000000000000000002-2-2200
χ6022-2-2-222-22222-2-22222-2-2-22-22-222-2-2-2-22222-2-200-222-200000000000000000000000000000000000000000000-222-200
χ61444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-2-2441111-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-2-2-4-41111222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ634444-4-44-4-4-2-2-2-2-222-21-2-222-2-222111-1-12-1-1-2224i−4i11-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ644444-4-44-4-4-2-2-2-2-222-21-2-222-2-222111-1-12-1-1-222−4i4i11-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ65444-444-4-4-44-24-2-244-2-24-44-422-22-2-2-2-2-2-2-2-2-4-4200222200000000000000000000000000000000000000000000000000
χ66444-444-4-4-4-2-2-2-2-2-2-2-21-22-2222-2211111-21122200-1-1-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ67444-444-4-4-4-2-2-2-2-2-2-2-21-22-2222-2211111-21122200-1-1-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ68444-4-4-4-4444-24-2-2-4-4-2-24-4-44222-2-2-2-222222-44-20022-2-200000000000000000000000000000000000000000000000000
χ69444-4-4-4-444-2-2-2-2-222-21-222-2222-2111-1-12-1-12-2-200-1-11123−23−232300−3−3330033−3−30000000000000000000000000000000000
χ70444-4-4-4-444-2-2-2-2-222-21-222-2222-2111-1-12-1-12-2-200-1-111−232323−230033−3−300−3−3330000000000000000000000000000000000
χ7144-444-4-4-44-24-2-4-4224-22-2-2-24-444-222-2-2-42222-400-22-2200000000000000000000000000000000000000000000000000
χ7244-444-4-4-44-2-2-22222-212-2-2-2-22-2-21-1-1112-1-1222001-11-1000023−23−33−3323−23−33−330000000000000000000000000000000000
χ7344-444-4-4-44-2-2-22222-212-2-2-2-22-2-21-1-1112-1-1222001-11-10000−23233−33−3−23233−33−30000000000000000000000000000000000
χ7444-44-44-44-4-24-2-4-4-2-24-22-2224-4-4-4-222224-2-22-2400-222-200000000000000000000000000000000000000000000000000
χ7544-44-44-44-4-2-2-222-2-2-212-222-22221-1-1-1-1-2112-2-2001-1-110000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ7644-44-44-44-4-2-2-222-2-2-212-222-22221-1-1-1-1-2112-2-2001-1-1100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ7744-4-44-444-44-2422-4-4-2-2-4-44-42-2-22-222-2-222244-2002-22-200000000000000000000000000000000000000000000000000
χ7844-4-44-444-4-24-2-4-4224-222-22-444-4-222-2-2-422-2-24002-22-200000000000000000000000000000000000000000000000000
χ7944-4-44-444-4-2-2-22222-2122-222-2-221-1-1112-1-1-2-2-200-11-110000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ8044-4-44-444-4-2-2-22222-2122-222-2-221-1-1112-1-1-2-2-200-11-11000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ8144-4-4-444-444-242244-2-2-4-4-442-22-2-22222-2-2-24-42002-2-2200000000000000000000000000000000000000000000000000
χ8244-4-4-444-44-24-2-4-4-2-24-2222-2-44-44-222224-2-2-22-4002-2-2200000000000000000000000000000000000000000000000000
χ8344-4-4-444-44-2-2-222-2-2-21222-22-22-21-1-1-1-1-211-22200-111-10000003-3-3300-333-30000000000000000000000000000000000
χ8444-4-4-444-44-2-2-222-2-2-21222-22-22-21-1-1-1-1-211-22200-111-1000000-333-3003-3-330000000000000000000000000000000000
χ858-8000000088-80000-8800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ868-800000008-4-8−4i34i3004-4000000004−4i34i30000000000000000000000000000000000000000000000000000000000000000
χ878-800000008-4-84i3−4i3004-40000000044i3−4i30000000000000000000000000000000000000000000000000000000000000000
χ888-80000000-48400−4i34i3-8-400000000400000−4i34i300000000000000000000000000000000000000000000000000000000000
χ898-80000000-484004i3−4i3-8-4000000004000004i3−4i300000000000000000000000000000000000000000000000000000000000
χ908-80000000-4-44−4i34i3−4i34i34200000000-22i3−2i36-602i3−2i300000000000000000000000000000000000000000000000000000000000
χ918-80000000-4-44−4i34i34i3−4i34200000000-22i3−2i3-660−2i32i300000000000000000000000000000000000000000000000000000000000
χ928-80000000-4-444i3−4i3−4i34i34200000000-2−2i32i3-6602i3−2i300000000000000000000000000000000000000000000000000000000000
χ938-80000000-4-444i3−4i34i3−4i34200000000-2−2i32i36-60−2i32i300000000000000000000000000000000000000000000000000000000000

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