Finite Group Databasebeta

← Group #11785944

Character table — Group #11785944

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242444444444888812121212121212122424242424242424444488
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
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−i11-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-1i−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−i11-1-1-1-111i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111−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-1-11111-1-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-111−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-1-111-1-111−ii−ii-1-111-1-111−i−iii−i−iii11-1-1i−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−iiiiiii11-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-1−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−iiiiiii11-1-1-1-111−iii−i11-1-1-1-111−i−iiiii−i−i-1-111i−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-1-11111-1-1i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111i−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-1-111-1-111i−ii−i-1-111-1-111ii−i−iii−i−i11-1-1−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
χ19222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-211110000222200-2-20000-1-1-1-100001111000000
χ20222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-211110000-2-2-2-20022000011110000-1-1-1-1000000
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−2iiiii000022-2-2002i−2i0000-1-1110000−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−2iiiii0000-2-22200−2i2i000011-1-10000ii−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−i000022-2-200−2i2i0000-1-1110000ii−i−i000000
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−i0000-2-222002i−2i000011-1-10000−i−iii000000
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
χ2722222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-211111111111122220000-2-200-1-1-1-1000011110000000000
χ2822222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-20000220011110000-1-1-1-10000000000
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−iiiiiii22-2-200002i−2i00-1-1110000−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-2-2220000−2i2i0011-1-10000ii−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−i22-2-20000−2i2i00-1-1110000ii−i−i0000000000
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-2-22200002i−2i0011-1-10000−i−iii0000000000
χ33222-2-22222-2-2-2-2222222-22-2-2-22-2-2-22-2-2-22222-22-2002-2000000000000000000000000000000000000000000002i−2i2i−2i00
χ34222-2-22222-2-2-2-2222222-22-2-2-22-2-2-22-2-2-22222-22-2002-200000000000000000000000000000000000000000000−2i2i−2i2i00
χ35222-2-222-2-222-2-222-2-222-22-2-2-22-222-2222-2-2-2-222-200-22000000000000000000000000000000000000000000002i−2i−2i2i00
χ36222-2-222-2-222-2-222-2-222-22-2-2-22-222-2222-2-2-2-222-200-2200000000000000000000000000000000000000000000−2i2i2i−2i00
χ3722-22-2222-2-222222222-2-2-22222-22-2-2222222-2-2-2-200-2-2000000000000000000002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ3822-22-2222-2-222222222-2-2-22222-22-2-2222222-2-2-2-200-2-200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ3922-22-222-222-22222-2-22-2-2-22222-2-222-2-2-2-2-2-222-2-20022000000000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ4022-22-222-222-22222-2-22-2-2-22222-2-222-2-2-2-2-2-222-2-2002200000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ4122-22-22-12-2-2222-12-1-1-1-2-21-1-1-1-11-11-22-1-12-1-11-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300002i−2i2i−2i00000000−ii−ii00003−33−3000000
χ4222-22-22-12-2-2222-12-1-1-1-2-21-1-1-1-11-11-22-1-12-1-11-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i30000−2i2i−2i2i00000000i−ii−i0000−33−33000000
χ4322-22-22-12-2-2222-12-1-1-1-2-21-1-1-1-11-11-22-1-12-1-11-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300002i−2i2i−2i00000000−ii−ii0000−33−33000000
χ4422-22-22-12-2-2222-12-1-1-1-2-21-1-1-1-11-11-22-1-12-1-11-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i30000−2i2i−2i2i00000000i−ii−i00003−33−3000000
χ4522-22-22-1-222-222-1211-1-2-21-1-1-1-111-12-211-211-121100-1-13−3−330033−3−300−3−33300002i−2i−2i2i00000000−iii−i0000i3−i3−i3i3000000
χ4622-22-22-1-222-222-1211-1-2-21-1-1-1-111-12-211-211-121100-1-13−3−330033−3−300−3−3330000−2i2i2i−2i00000000i−i−ii0000−i3i3i3−i3000000
χ4722-22-22-1-222-222-1211-1-2-21-1-1-1-111-12-211-211-121100-1-1−333−300−3−3330033−3−300002i−2i−2i2i00000000−iii−i0000−i3i3i3−i3000000
χ4822-22-22-1-222-222-1211-1-2-21-1-1-1-111-12-211-211-121100-1-1−333−300−3−3330033−3−30000−2i2i2i−2i00000000i−i−ii0000i3−i3−i3i3000000
χ4922-2-22222-22-2-2-222222-22-2-2-2-222-22-2-2-2-2222-22-2200-2200000000000000002-22-2000000002-22-2000000000000000000
χ5022-2-22222-22-2-2-222222-22-2-2-2-222-22-2-2-2-2222-22-2200-220000000000000000-22-2200000000-22-22000000000000000000
χ5122-2-2222-22-22-2-222-2-22-22-2-2-2-2222-22222-2-2-22-2-22002-200000000000000002-2-22000000002-2-22000000000000000000
χ5222-2-2222-22-22-2-222-2-22-22-2-2-2-2222-22222-2-2-22-2-22002-20000000000000000-222-200000000-222-2000000000000000000
χ5322-2-22-122-22-2112-122-11-1-2-211-12-221111-1-1-1-2-11-1001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-22-200000000-11-110000−i3i3−i3i30000000000
χ5422-2-22-122-22-2112-122-11-1-2-211-12-221111-1-1-1-2-11-1001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-22-22000000001-11-10000i3−i3i3−i30000000000
χ5522-2-22-122-22-2112-122-11-1-2-211-12-221111-1-1-1-2-11-1001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-22-200000000-11-110000i3−i3i3−i30000000000
χ5622-2-22-122-22-2112-122-11-1-2-211-12-221111-1-1-1-2-11-1001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-22-22000000001-11-10000−i3i3−i3i30000000000
χ5722-2-22-12-22-22112-1-2-2-11-1-2-211-122-2-1-1-1-1111211-100-1100003−33−33−3−33−33−332-2-2200000000-111-100003−3−330000000000
χ5822-2-22-12-22-22112-1-2-2-11-1-2-211-122-2-1-1-1-1111211-100-1100003−33−33−3−33−33−33-222-2000000001-1-110000−333−30000000000
χ5922-2-22-12-22-22112-1-2-2-11-1-2-211-122-2-1-1-1-1111211-100-110000−33−33−333−33−33−32-2-2200000000-111-10000−333−30000000000
χ6022-2-22-12-22-22112-1-2-2-11-1-2-211-122-2-1-1-1-1111211-100-110000−33−33−333−33−33−3-222-2000000001-1-1100003−3−330000000000
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
χ65444-4-44-244-4-4-4-4-24-2-2-24-4-2222-22224-4224-2-2-2-4-2200-2200000000000000000000000000000000000000000000000000
χ66444-4-44-2-4-444-4-4-2422-24-4-2222-22-2-2-44-2-2-42224-22002-200000000000000000000000000000000000000000000000000
χ67444-4-4-2444-4-4224-244-2-224-422-2-4-4-4-2222-2-2-242-2200-2200000000000000000000000000000000000000000000000000
χ68444-4-4-24-4-444224-2-4-4-2-224-422-2-4442-2-2-2222-4-2-22002-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-422-2-2-2-21-22-22-1-11222-22-1-1-211-221-1001-10000003-3-33003-3-330000000000000000000000000000000000
χ70444-4-4-2-244-4-422-2-2-2-21-22-22-1-11222-22-1-1-211-221-1001-1000000-333-300-333-30000000000000000000000000000000000
χ71444-4-4-2-2-4-44422-2-2221-22-22-1-112-2-22-2112-1-12-21-100-110000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ72444-4-4-2-2-4-44422-2-2221-22-22-1-112-2-22-2112-1-12-21-100-11000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ7344-44-4-244-4-44-2-24-244-222-44-2-2-2-44-42-2-2-2-2-2-2-4222002200000000000000000000000000000000000000000000000000
χ7444-44-4-24-444-4-2-24-2-4-4-222-44-2-2-2-4-44-22222224-22200-2-200000000000000000000000000000000000000000000000000
χ7544-44-4-2-24-4-44-2-2-2-2-2-21222-21112-222-211-21122-1-100-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ7644-44-4-2-24-4-44-2-2-2-2-2-21222-21112-222-211-21122-1-100-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ7744-44-4-2-2-444-4-2-2-2-2221222-211122-2-22-1-12-1-1-2-2-1-1001123−23−232300−3−3330033−3−30000000000000000000000000000000000
χ7844-44-4-2-2-444-4-2-2-2-2221222-211122-2-22-1-12-1-1-2-2-1-10011−232323−230033−3−300−3−3330000000000000000000000000000000000
χ7944-4-444-24-44-4-4-4-24-2-2-2-442222-2-22-2-4-4224-2-2242-2002-200000000000000000000000000000000000000000000000000
χ8044-4-444-2-44-44-4-4-2422-2-442222-2-2-2244-2-2-422-2-42-200-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-44-422-2-2-2-212-222-1-11-22-222-1-1-2112-2-1100-110000−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ8244-4-44-2-24-44-422-2-2-2-212-222-1-11-22-222-1-1-2112-2-1100-1100002i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ8344-4-44-2-2-44-4422-2-22212-222-1-11-2-22-2-2112-1-1-22-11001-1000023−23−33−33−23233−33−30000000000000000000000000000000000
χ8444-4-44-2-2-44-4422-2-22212-222-1-11-2-22-2-2112-1-1-22-11001-10000−23233−33−323−23−33−330000000000000000000000000000000000
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).