Finite Group Databasebeta

← Group #11788915

Character table — Group #11788915

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466121212123666666666121212121212121212126688121224242424242424242424242424242424224488884466881212121212122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1
χ91111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1ii−i−i1-11-1i−i1-111-1-1ii−i−iii−i−iii−i−i1-1
χ101111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1−i−iii-111-1i−i1-1-1-111ii−i−i−i−iii−i−iii-11
χ111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11ii−i−i1-1-11−ii-1111-1-1−i−iiiii−i−i−i−iii-11
χ121111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11−i−iii-11-11−ii-11-1-111−i−iii−i−iiiii−i−i1-1
χ131111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1ii−i−i-111-1−ii1-1-1-111−i−iiiii−i−iii−i−i-11
χ141111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1−i−iii1-11-1−ii1-111-1-1−i−iii−i−iii−i−iii1-1
χ151111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-11-11ii−i−i-11-11i−i-11-1-111ii−i−iii−i−i−i−iii1-1
χ161111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-11-11−i−iii1-1-11i−i-1111-1-1ii−i−i−i−iiiii−i−i-11
χ17222222-122222-1-1-122-122-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-122-1-10000-1-1-1-10000000000
χ18222222-122222-1-1-122-122-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000011-2-211000011110000000000
χ19222222-122222-1-1-122-122-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-21111111111112222000000-1-1-2-2-1-1000011110000000000
χ20222222-122222-1-1-122-122-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-20000001122110000-1-1-1-10000000000
χ21222222-1-2-2-2-22-111-2-2-122-1-1-1-1-1-12-2-2111111-21-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii2-22-2000000-112i−2i-110000−i−iii0000000000
χ22222222-1-2-2-2-22-111-2-2-122-1-1-1-1-1-12-2-2111111-21-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii-22-220000001-1−2i2i1-10000ii−i−i0000000000
χ23222222-1-2-2-2-22-111-2-2-122-1-1-1-1-1-12-2-2111111-21-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i2-22-2000000-11−2i2i-110000ii−i−i0000000000
χ24222222-1-2-2-2-22-111-2-2-122-1-1-1-1-1-12-2-2111111-21-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i-22-220000001-12i−2i1-10000−i−iii0000000000
χ2522222-122222-1222-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000222222000000-1-1-1-10000-1-1-1-1000000
χ2622222-122222-1222-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-2-2-2000000111100001111000000
χ2722222-122222-1222-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-2111100002222-2-200000011110000-1-1-1-1000000
χ2822222-122222-1222-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-211110000-2-2-2-222000000-1-1-1-100001111000000
χ2922222-12-2-2-2-2-12-2-211-1-1-1222-1-1-1-111-211-2111-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii00002i2i−2i−2i2-2000000-1-1110000−i−iii000000
χ3022222-12-2-2-2-2-12-2-211-1-1-1222-1-1-1-111-211-2111-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0000−2i−2i2i2i-2200000011-1-10000ii−i−i000000
χ3122222-12-2-2-2-2-12-2-211-1-1-1222-1-1-1-111-211-2111-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i00002i2i−2i−2i-2200000011-1-10000−i−iii000000
χ3222222-12-2-2-2-2-12-2-211-1-1-1222-1-1-1-111-211-2111-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000−2i−2i2i2i2-2000000-1-1110000ii−i−i000000
χ33222-2-22222-2-222222222-22-2-2222-22-2-222222-2-2-2-200-2-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ34222-2-22222-2-222222222-22-2-2222-22-2-222222-2-2-2-200-2-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ35222-2-222-2-22222-2-2-2-222-22-2-2222-2-222-2-2-2-2-222-2-20022000000000000000000002-2-2200000000000000002-2-22000000
χ36222-2-222-2-22222-2-2-2-222-22-2-2222-2-222-2-2-2-2-222-2-2002200000000000000000000-222-20000000000000000-222-2000000
χ37222-2-2-1222-2-2-1222-1-1-1-112-2-2-1-1-11-11-2-1-12-1-11-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i300002i−2i2i−2i000000003−33−30000−ii−ii000000
χ38222-2-2-1222-2-2-1222-1-1-1-112-2-2-1-1-11-11-2-1-12-1-11-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i30000−2i2i−2i2i00000000−33−330000i−ii−i000000
χ39222-2-2-1222-2-2-1222-1-1-1-112-2-2-1-1-11-11-2-1-12-1-11-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i300002i−2i2i−2i00000000−33−330000−ii−ii000000
χ40222-2-2-1222-2-2-1222-1-1-1-112-2-2-1-1-11-11-2-1-12-1-11-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i30000−2i2i−2i2i000000003−33−30000i−ii−i000000
χ41222-2-2-12-2-222-12-2-211-1-112-2-2-1-1-111-1211-211-121100-1-13−3−330033−3−300−3−33300002-2-2200000000−333−30000-111-1000000
χ42222-2-2-12-2-222-12-2-211-1-112-2-2-1-1-111-1211-211-121100-1-13−3−330033−3−300−3−3330000-222-2000000003−3−3300001-1-11000000
χ43222-2-2-12-2-222-12-2-211-1-112-2-2-1-1-111-1211-211-121100-1-1−333−300−3−3330033−3−300002-2-22000000003−3−330000-111-1000000
χ44222-2-2-12-2-222-12-2-211-1-112-2-2-1-1-111-1211-211-121100-1-1−333−300−3−3330033−3−30000-222-200000000−333−300001-1-11000000
χ4522-22-2222-22-22222-2-22-22-22-2-2-22-222-222-2-2-2-222-2002-2000000000000000000000000000000000000000000002i−2i2i−2i00
χ4622-22-2222-22-22222-2-22-22-22-2-2-22-222-222-2-2-2-222-2002-200000000000000000000000000000000000000000000−2i2i−2i2i00
χ4722-22-222-22-2222-2-2222-22-22-2-2-22-2-2-22-2-22222-22-200-22000000000000000000000000000000000000000000002-2-2200
χ4822-22-222-22-2222-2-2222-22-22-2-2-22-2-2-22-2-22222-22-200-2200000000000000000000000000000000000000000000-222-200
χ4922-2-22222-2-222222-2-22-2-2-2-22-2-2222-2222-2-2-22-2-2200-2200000000000000002-2-220000002-200-22000000000000000000
χ5022-2-22222-2-222222-2-22-2-2-2-22-2-2222-2222-2-2-22-2-2200-220000000000000000-222-2000000-22002-2000000000000000000
χ5122-2-2222-222-222-2-2222-2-2-2-22-2-222-22-2-2-2222-22-22002-2000000000000000022-2-20000002200-2-2000000000000000000
χ5222-2-2222-222-222-2-2222-2-2-2-22-2-222-22-2-2-2222-22-22002-20000000000000000-2-222000000-2-20022000000000000000000
χ5322-2-222-12-2-222-1-1-1-2-2-1-2-211-111-122-2-1-1-1111211-1001-100003−33−33−33−33−33−32-2-22000000-11001-100003−33−30000000000
χ5422-2-222-12-2-222-1-1-1-2-2-1-2-211-111-122-2-1-1-1111211-1001-100003−33−33−33−33−33−3-222-20000001-100-110000−33−330000000000
χ5522-2-222-12-2-222-1-1-1-2-2-1-2-211-111-122-2-1-1-1111211-1001-10000−33−33−33−33−33−332-2-22000000-11001-10000−33−330000000000
χ5622-2-222-12-2-222-1-1-1-2-2-1-2-211-111-122-2-1-1-1111211-1001-10000−33−33−33−33−33−33-222-20000001-100-1100003−33−30000000000
χ5722-2-222-1-222-22-11122-1-2-211-111-12-22111-1-1-1-2-11-100-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i322-2-2000000-1-100110000−i3i3i3−i30000000000
χ5822-2-222-1-222-22-11122-1-2-211-111-12-22111-1-1-1-2-11-100-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3-2-2220000001100-1-10000i3−i3−i3i30000000000
χ5922-2-222-1-222-22-11122-1-2-211-111-12-22111-1-1-1-2-11-100-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i322-2-2000000-1-100110000i3−i3−i3i30000000000
χ6022-2-222-1-222-22-11122-1-2-211-111-12-22111-1-1-1-2-11-100-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3-2-2220000001100-1-10000−i3i3i3−i30000000000
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-211-2-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-211-2-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-2222-1-12-1-122114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-2222-1-12-1-12211−4i4i-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ65444-4-44-244-4-44-2-2-244-24-4-222-2-2-2-44-42-2-2-2-2-2-4222002200000000000000000000000000000000000000000000000000
χ66444-4-44-2-4-4444-222-4-4-24-4-222-2-2-2-4-44-2222224-22200-2-200000000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2-2-21-22-2221112-22211-21122-1-100-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2-2-21-22-2221112-22211-21122-1-100-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-222221-22-22211122-2-2-1-12-1-1-2-2-1-1001123−23−232300−3−3330033−3−30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-222221-22-22211122-2-2-1-12-1-1-2-2-1-10011−232323−230033−3−300−3−3330000000000000000000000000000000000
χ7144-44-44-24-44-44-2-2-2-4-4-2-442-2222-2-4442-2-2222-4-2-2200-2200000000000000000000000000000000000000000000000000
χ7244-44-44-2-44-444-22244-2-442-2222-2-4-4-4-222-2-2-242-22002-200000000000000000000000000000000000000000000000000
χ7344-44-4-244-44-4-244422-22-2-44-422-22-2-2-4-2-2-42224-2200-2200000000000000000000000000000000000000000000000000
χ7444-44-4-24-44-44-24-4-4-2-2-22-2-44-422-22224224-2-2-2-4-22002-200000000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-22212-22-22-1-112-2-22112-1-12-21-1001-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-22212-22-22-1-112-2-22112-1-12-21-1001-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-222-2-212-22-22-1-11222-2-1-1-211-221-100-110000003-3-3300-333-30000000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-222-2-212-22-22-1-11222-2-1-1-211-221-100-11000000-333-3003-3-330000000000000000000000000000000000
χ7944-4-44-244-4-44-244422-222-4-4422-2-2-224-2-2-422-2-42-2002-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-24-4-4-2-2-222-4-4422-2-22-2-4224-2-2242-200-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-22212222-2-1-11-2-22-2112-1-1-22-1100-11000023−23−33−3323−23−33−330000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-22212222-2-1-11-2-22-2112-1-1-22-1100-110000−23233−33−3−23233−33−30000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-212222-2-1-11-22-22-1-1-2112-2-11001-10000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-212222-2-1-11-22-22-1-1-2112-2-11001-100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ858-8000880000-8-8000080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-8443−4300-400000004000043−430000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-84−434300-4000000040000−43430000000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-80043−43-400000004000000043−430000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-800−4343-4000000040000000−43430000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−432000006-6-20000−23230−23230000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−4343200000-66-20000−2323023−230000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−43200000-66-2000023−230−23230000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−43432000006-6-2000023−23023−230000000000000000000000000000000000000000000000000000000000

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