Finite Group Databasebeta

← Group #11788916

Character table — Group #11788916

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242488888888444412121212121212122424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ91111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−i1-11-111-1-111-1-1ii−i−iii−i−i1-11-1i−i
χ101111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−i−i−iii1-1-1111-1-1-1-111ii−i−i−i−iii-11-11−ii
χ111111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i-111-1-1-11111-1-1−i−iiiii−i−i-11-11−ii
χ121111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iii−i−iii-11-11-1-111-1-111−i−iii−i−iii1-11-1i−i
χ131111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−iii−i−i-11-11-1-111-1-111ii−i−iii−i−i1-11-1−ii
χ141111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−iii-111-1-1-11111-1-1ii−i−i−i−iii-11-11i−i
χ151111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii−i−iiiii−i−i1-1-1111-1-1-1-111−i−iiiii−i−i-11-11i−i
χ161111111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii−i−iii−i−iii1-11-111-1-111-1-1−i−iii−i−iii1-11-1−ii
χ17222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ18222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ19222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-211110000222200-2-2000011110000-1-1-1-1000000
χ20222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-211110000-2-2-2-200220000-1-1-1-100001111000000
χ21222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-211-2111-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii00002i2i−2i−2i002-20000-1-1110000−i−iii000000
χ22222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-211-2111-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0000−2i−2i2i2i00-22000011-1-10000ii−i−i000000
χ23222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-211-2111-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i00002i2i−2i−2i00-22000011-1-10000−i−iii000000
χ24222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-211-2111-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000−2i−2i2i2i002-20000-1-1110000ii−i−i000000
χ2522222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ2622222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ2722222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-211111111111122220000-2-20011110000-1-1-1-10000000000
χ2822222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-200002200-1-1-1-1000011110000000000
χ2922222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-21111111-21-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii2i2i−2i−2i00002-200-1-1110000−i−iii0000000000
χ3022222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-21111111-21-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii−2i−2i2i2i0000-220011-1-10000ii−i−i0000000000
χ3122222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-21111111-21-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i2i2i−2i−2i0000-220011-1-10000−i−iii0000000000
χ3222222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-21111111-21-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i−2i−2i2i2i00002-200-1-1110000ii−i−i0000000000
χ33222-2-22222-2-22222222-2-22-2222-22-22-222222-2-2-2-200-2-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ34222-2-22222-2-22222222-2-22-2222-22-22-222222-2-2-2-200-2-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ35222-2-222-2-2222222-2-22-2-22-2222-2-22-22-2-2-2-2-222-2-20022000000000000000000002-2-2200000000000000002-2-22000000
χ36222-2-222-2-2222222-2-22-2-22-2222-2-22-22-2-2-2-2-222-2-2002200000000000000000000-222-20000000000000000-222-2000000
χ37222-2-22-122-2-222-12-1-1-1-2-2-11-1-1-11-112-2-1-12-1-11-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300002i−2i2i−2i000000003−33−30000−ii−ii000000
χ38222-2-22-122-2-222-12-1-1-1-2-2-11-1-1-11-112-2-1-12-1-11-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i30000−2i2i−2i2i00000000−33−330000i−ii−i000000
χ39222-2-22-122-2-222-12-1-1-1-2-2-11-1-1-11-112-2-1-12-1-11-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300002i−2i2i−2i00000000−33−330000−ii−ii000000
χ40222-2-22-122-2-222-12-1-1-1-2-2-11-1-1-11-112-2-1-12-1-11-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i30000−2i2i−2i2i000000003−33−30000i−ii−i000000
χ41222-2-22-1-2-22222-1211-1-2-2-11-1-1-111-1-2211-211-121100-1-13−3−330033−3−300−3−33300002-2-2200000000−333−30000-111-1000000
χ42222-2-22-1-2-22222-1211-1-2-2-11-1-1-111-1-2211-211-121100-1-13−3−330033−3−300−3−3330000-222-2000000003−3−3300001-1-11000000
χ43222-2-22-1-2-22222-1211-1-2-2-11-1-1-111-1-2211-211-121100-1-1−333−300−3−3330033−3−300002-2-22000000003−3−330000-111-1000000
χ44222-2-22-1-2-22222-1211-1-2-2-11-1-1-111-1-2211-211-121100-1-1−333−300−3−3330033−3−30000-222-200000000−333−300001-1-11000000
χ4522-22-2222-2-22-2-222-2-222-2-22-2-22-2222222-2-2-2-2-22-2002-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ4622-22-2222-2-22-2-222-2-222-2-22-2-22-2222222-2-2-2-2-22-2002-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ4722-22-222-222-2-2-2222222-2-22-2-22-2-2-2-2-2-2-2222222-200-2200000000000000002-2-2200000000000000002-2-220000000000
χ4822-22-222-222-2-2-2222222-2-22-2-22-2-2-2-2-2-2-2222222-200-220000000000000000-222-20000000000000000-222-20000000000
χ4922-22-2-122-2-22112-1-2-2-1-11-2211-1-222-1-1-1-1111-21-1100-1100003−33−33−33−33−33−32i−2i2i−2i00000000−i3i3−i3i30000−ii−ii0000000000
χ5022-22-2-122-2-22112-1-2-2-1-11-2211-1-222-1-1-1-1111-21-1100-1100003−33−33−33−33−33−3−2i2i−2i2i00000000i3−i3i3−i30000i−ii−i0000000000
χ5122-22-2-122-2-22112-1-2-2-1-11-2211-1-222-1-1-1-1111-21-1100-110000−33−33−33−33−33−332i−2i2i−2i00000000i3−i3i3−i30000−ii−ii0000000000
χ5222-22-2-122-2-22112-1-2-2-1-11-2211-1-222-1-1-1-1111-21-1100-110000−33−33−33−33−33−33−2i2i−2i2i00000000−i3i3−i3i30000i−ii−i0000000000
χ5322-22-2-12-222-2112-122-1-11-2211-1-2-2-21111-1-1-12-1-11001-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i32-2-2200000000−i3i3i3−i30000-111-10000000000
χ5422-22-2-12-222-2112-122-1-11-2211-1-2-2-21111-1-1-12-1-11001-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3-222-200000000i3−i3−i3i300001-1-110000000000
χ5522-22-2-12-222-2112-122-1-11-2211-1-2-2-21111-1-1-12-1-11001-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i32-2-2200000000i3−i3−i3i30000-111-10000000000
χ5622-22-2-12-222-2112-122-1-11-2211-1-2-2-21111-1-1-12-1-11001-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3-222-200000000−i3i3i3−i300001-1-110000000000
χ5722-2-22222-22-2-2-222-2-22-22-2-2-2-2222-22-222-2-2-222-2200-22000000000000000000000000000000000000000000002-2-2200
χ5822-2-22222-22-2-2-222-2-22-22-2-2-2-2222-22-222-2-2-222-2200-2200000000000000000000000000000000000000000000-222-200
χ5922-2-2222-22-22-2-222222-22-2-2-2-222-22-22-2-2222-2-2-22002-20000000000000000000000000000000000000000000022-2-200
χ6022-2-2222-22-22-2-222222-22-2-2-2-222-22-22-2-2222-2-2-22002-200000000000000000000000000000000000000000000-2-22200
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-211-2-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-211-2-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222-1-12-1-122114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222-1-12-1-12211−4i4i-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ65444-4-4-2444-4-4-2-24-244-2224-4-2-2-2-44-4-22-2-2-2-2-2-4222002200000000000000000000000000000000000000000000000000
χ66444-4-4-24-4-444-2-24-2-4-4-2224-4-2-2-2-4-442-2222224-22200-2-200000000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2-2-2122-221112-22-2211-21122-1-100-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2-2-2122-221112-22-2211-21122-1-100-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-2-2-222122-2211122-22-2-1-12-1-1-2-2-1-1001123−23−232300−3−3330033−3−30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-2-2-222122-2211122-22-2-1-12-1-1-2-2-1-10011−232323−230033−3−300−3−3330000000000000000000000000000000000
χ7144-44-44-24-4-44-4-4-2422-24-42-222-22-2-244-2-2-4222-4-2200-2200000000000000000000000000000000000000000000000000
χ7244-44-44-2-444-4-4-4-24-2-2-24-42-222-2222-4-4224-2-2-24-22002-200000000000000000000000000000000000000000000000000
χ7344-44-4-2-24-4-4422-2-2221-222-2-1-112-2-2-2-2112-1-1221-1001-1000023−23−33−3323−23−33−330000000000000000000000000000000000
χ7444-44-4-2-24-4-4422-2-2221-222-2-1-112-2-2-2-2112-1-1221-1001-10000−23233−33−3−23233−33−30000000000000000000000000000000000
χ7544-44-4-2-2-444-422-2-2-2-21-222-2-1-1122222-1-1-211-2-21-100-110000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ7644-44-4-2-2-444-422-2-2-2-21-222-2-1-1122222-1-1-211-2-21-100-1100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ7744-4-444-24-44-4-4-4-2422-2-442222-2-2-224-4-2-2-422-242-2002-200000000000000000000000000000000000000000000000000
χ7844-4-444-2-44-44-4-4-24-2-2-2-442222-2-22-2-44224-2-22-42-200-2200000000000000000000000000000000000000000000000000
χ7944-4-44-244-44-4224-2-4-4-22-2-4-422-244-4-22-2-22224-22-2002-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-44-44224-244-22-2-4-422-24-442-222-2-2-2-422-200-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-44-422-2-22212-222-1-11-2-22-22112-1-1-2-2-1100-110000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ8244-4-44-2-24-44-422-2-22212-222-1-11-2-22-22112-1-1-2-2-1100-11000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ8344-4-44-2-2-44-4422-2-2-2-212-222-1-11-22-22-2-1-1-21122-11001-10000003-3-3300-333-30000000000000000000000000000000000
χ8444-4-44-2-2-44-4422-2-2-2-212-222-1-11-22-22-2-1-1-21122-11001-1000000-333-3003-3-330000000000000000000000000000000000
χ858-800088000000-8-8008000000-800000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000004-843−43-400000040000000043−430000000000000000000000000000000000000000000000000000000000
χ878-80008-40000004-8−4343-4000000400000000−43430000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3-8400-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3-8400-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−43200002i3−2i3-2000006i−6i0−23230000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−4343200002i3−2i3-200000−6i6i023−230000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−4320000−2i32i3-200000−6i6i0−23230000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−434320000−2i32i3-2000006i−6i023−230000000000000000000000000000000000000000000000000000000000

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