Finite Group Databasebeta

← Group #11784977

Character table — Group #11784977

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444661212121236666666661212121212121212121266881212242424242424242424242424242424242222444444666688121212121212121224242424222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1
χ9111-1-11111-1-11111-1-1111-1-1-1-1-11-1111-111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i111-1-1-11-1i−i111-1i−i-1-11-1ii−i−iii−i−i11-1-1i−i
χ10111-1-11111-1-11111-1-1111-1-1-1-1-11-1111-111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-11-1-1-11i−i11-11−ii-1-1-11ii−i−i−i−iii-1-111−ii
χ11111-1-11111-1-11111-1-1111-1-1-1-1-11-1111-111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-11-1111-1−ii-1-11-1i−i111-1−i−iiiii−i−i-1-111−ii
χ12111-1-11111-1-11111-1-1111-1-1-1-1-11-1111-111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1111-11−ii-1-1-11−ii11-11−i−iii−i−iii11-1-1i−i
χ13111-1-11111-1-11111-1-1111-1-1-1-1-11-1111-111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii111-1-1-11-1−ii111-1−ii-1-11-1−i−iii−i−iii11-1-1−ii
χ14111-1-11111-1-11111-1-1111-1-1-1-1-11-1111-111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-11-1-1-11−ii11-11i−i-1-1-11−i−iiiii−i−i-1-111i−i
χ15111-1-11111-1-11111-1-1111-1-1-1-1-11-1111-111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-11-1111-1i−i-1-11-1−ii111-1ii−i−i−i−iii-1-111i−i
χ16111-1-11111-1-11111-1-1111-1-1-1-1-11-1111-111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-1-1111-11i−i-1-1-11i−i11-11ii−i−iii−i−i11-1-1−ii
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000002-200-2200002-20000-2200000000000000
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000-22002-20000-2200002-200000000000000
χ19222222-122222-122-1-1-12-122-1-1-1-1-12-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12200220022-1-10000-1-100-1-1-1-10000000000
χ20222222-122222-122-1-1-12-122-1-1-1-1-12-1-1-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-200-2-2110000110011110000000000
χ21222222-122222-122-1-1-12-122-1-1-1-1-12-1-1-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111122002200-2-2-1-10000-1-10011110000000000
χ22222222-122222-122-1-1-12-122-1-1-1-1-12-1-1-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-21111-2-200-2-200221100001100-1-1-1-10000000000
χ2322222-122222-12-1-122-1-12-1-12-1-1-12-1222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-12200-1-10000-1-1-1-1000000
χ2422222-122222-12-1-122-1-12-1-12-1-1-12-1222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000011-2-2001100001111000000
χ2522222-122222-12-1-122-1-12-1-12-1-1-12-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111002200220000-1-1-2-200-1-100001111000000
χ2622222-122222-12-1-122-1-12-1-12-1-1-12-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100-2-200-2-20000112200110000-1-1-1-1000000
χ2722222-12-2-2-2-2-1211-2-2-1-12-1-12-1-1-121-2-2-2111111-1-1001100003−333−3−33−333−3−3002-200-220000-1100001-100003−33−3000000
χ2822222-12-2-2-2-2-1211-2-2-1-12-1-12-1-1-121-2-2-2111111-1-1001100003−333−3−33−333−3−300-22002-200001-10000-110000−33−33000000
χ2922222-12-2-2-2-2-1211-2-2-1-12-1-12-1-1-121-2-2-2111111-1-100110000−33−3−333−33−3−333002-200-220000-1100001-10000−33−33000000
χ3022222-12-2-2-2-2-1211-2-2-1-12-1-12-1-1-121-2-2-2111111-1-100110000−33−3−333−33−3−33300-22002-200001-10000-1100003−33−3000000
χ31222-2-222-2-22222-2-222222-2-2-2-2-22-2-2-2-22-2-222222-200-220000000000000000002200-2-20000220000-2-200000000000000
χ32222-2-222-2-22222-2-222222-2-2-2-2-22-2-2-2-22-2-222222-200-22000000000000000000-2-200220000-2-200002200000000000000
χ33222-2-22-122-2-22-12211-12-1-2-2111-112-1-11-1-1-211-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii2200-2-2002i−2i-1-100001100−i−iii0000000000
χ34222-2-22-122-2-22-12211-12-1-2-2111-112-1-11-1-1-211-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii-2-2002200−2i2i110000-1-100ii−i−i0000000000
χ35222-2-22-122-2-22-12211-12-1-2-2111-112-1-11-1-1-211-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i2200-2-200−2i2i-1-100001100ii−i−i0000000000
χ36222-2-22-122-2-22-12211-12-1-2-2111-112-1-11-1-1-211-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i-2-20022002i−2i110000-1-100−i−iii0000000000
χ37222-2-2-1222-2-2-12-1-1-2-2-1-1211-211-1-2-122-2-1-11111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii002-2002-20000-112i−2i00-110000−i−iii000000
χ38222-2-2-1222-2-2-12-1-1-2-2-1-1211-211-1-2-122-2-1-11111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii00-2200-2200001-1−2i2i001-10000ii−i−i000000
χ39222-2-2-1222-2-2-12-1-1-2-2-1-1211-211-1-2-122-2-1-11111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i002-2002-20000-11−2i2i00-110000ii−i−i000000
χ40222-2-2-1222-2-2-12-1-1-2-2-1-1211-211-1-2-122-2-1-11111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i00-2200-2200001-12i−2i001-10000−i−iii000000
χ41222-2-2-12-2-222-121122-1-1211-211-1-21-2-2211-1-1-1-1-11001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i3002200-2-20000-1-10000110000−i3i3i3−i3000000
χ42222-2-2-12-2-222-121122-1-1211-211-1-21-2-2211-1-1-1-1-11001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i300-2-200220000110000-1-10000i3−i3−i3i3000000
χ43222-2-2-12-2-222-121122-1-1211-211-1-21-2-2211-1-1-1-1-11001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i3002200-2-20000-1-10000110000i3−i3−i3i3000000
χ44222-2-2-12-2-222-121122-1-1211-211-1-21-2-2211-1-1-1-1-11001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i300-2-200220000110000-1-10000−i3i3i3−i3000000
χ4522-22-2222-22-222-2-2222-2-22-2-2-2-22222-2-2-2-2222-2-22002-200000000000000002-2002-200002-200002-20000000000000000
χ4622-22-2222-22-222-2-2222-2-22-2-2-2-22222-2-2-2-2222-2-22002-20000000000000000-2200-220000-220000-220000000000000000
χ4722-22-222-22-222222-2-22-2-22-2-2-2-222-2-22222-2-2-22-2200-22000000000000000000000000000000000000000000002-22-200
χ4822-22-222-22-222222-2-22-2-22-2-2-2-222-2-22222-2-2-22-2200-2200000000000000000000000000000000000000000000-22-2200
χ4922-22-22-12-22-22-1-2-2-1-1-1-212-2111-1-12-111112-1-1-21-100-11−i3i3−i3i300−i3i3−i3i300−i3i3−i3i32-2002-20000-110000-1100−i3i3−i3i30000000000
χ5022-22-22-12-22-22-1-2-2-1-1-1-212-2111-1-12-111112-1-1-21-100-11−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-2200-2200001-100001-100i3−i3i3−i30000000000
χ5122-22-22-12-22-22-1-2-2-1-1-1-212-2111-1-12-111112-1-1-21-100-11i3−i3i3−i300i3−i3i3−i300i3−i3i3−i32-2002-20000-110000-1100i3−i3i3−i30000000000
χ5222-22-22-12-22-22-1-2-2-1-1-1-212-2111-1-12-111112-1-1-21-100-11i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-2200-2200001-100001-100−i3i3−i3i30000000000
χ5322-2-22222-2-2222-2-2-2-22-2-2-222222-222-22-2-2-2-2-22-2-2002200000000000000002-200-2200002-20000-220000000000000000
χ5422-2-22222-2-2222-2-2-2-22-2-2-222222-222-22-2-2-2-2-22-2-200220000000000000000-22002-20000-2200002-20000000000000000
χ5522-2-2222-222-22222222-2-2-222222-2-2-22-222222-2-2-200-2-2000000000000000000000000000000000000000000002-2-2200
χ5622-2-2222-222-22222222-2-2-222222-2-2-22-222222-2-2-200-2-200000000000000000000000000000000000000000000-222-200
χ5722-2-222-12-2-222-1-2-211-1-21-22-1-1-1-112-11-111-21121100-1-13−3−33003−33−300−33−332-200-220000-1100001-1003−3−330000000000
χ5822-2-222-12-2-222-1-2-211-1-21-22-1-1-1-112-11-111-21121100-1-13−3−33003−33−300−33−33-22002-200001-10000-1100−333−30000000000
χ5922-2-222-12-2-222-1-2-211-1-21-22-1-1-1-112-11-111-21121100-1-1−333−300−33−33003−33−32-200-220000-1100001-100−333−30000000000
χ6022-2-222-12-2-222-1-2-211-1-21-22-1-1-1-112-11-111-21121100-1-1−333−300−33−33003−33−3-22002-200001-10000-11003−3−330000000000
χ61444444-2-4-4-4-44-2-4-422-24-244-2-2-2-2-2-422222-422-4-2-2002200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-22222-1-12-1-121100-1-1000023−23−3−33323−23−3−3330000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-22222-1-12-1-121100-1-10000−232333−3−3−232333−3−30000000000000000000000000000000000
χ66444-4-44-2-4-4444-2-4-4-2-2-24-2-4-4222-22-422-2224-2-24-22002-200000000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2221-2-2222-1-112-2-2-22112-1-121-14i−4i1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2221-2-2222-1-112-2-2-22112-1-121-1−4i4i1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-222-2-21-2-2222-1-112222-2-1-1-211-21-100-110000−2i32i3i3i3−i3−i32i3−2i3−i3−i3i3i30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-222-2-21-2-2222-1-112222-2-1-1-211-21-100-1100002i3−2i3−i3−i3i3i3−2i32i3i3i3−i3−i30000000000000000000000000000000000
χ7144-44-44-2-44-444-24422-2-424-4222-2-2-42-2-2-2-2-42242-2002-200000000000000000000000000000000000000000000000000
χ7244-44-4-244-44-4-242244-22-4-22-422-24-24-4-422-2-2-222-200-2200000000000000000000000000000000000000000000000000
χ7344-44-4-24-44-44-24-2-2-4-4-22-4-22-422-242-444-2-2222-22-2002-200000000000000000000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-222-2-2122-222-1-11-2-2-222-1-1-2112-11001-1−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i30000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-222-2-2122-222-1-11-2-2-222-1-1-2112-11001-12i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-2-2-222122-222-1-11-222-2-2112-1-1-2-1100-110000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-222122-222-1-11-222-2-2112-1-1-2-1100-11000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ7844-4-444-2-444-44-244-2-2-2-42-44-2-2-2-22-42-22-2-24-2-2-422002200000000000000000000000000000000000000000000000000
χ7944-4-44-244-4-44-2422-4-4-22-42-24-2-2-2-4-24-4422222-22200-2-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-24-2-244-22-42-24-2-2-2-42-44-4-2-2-2-2-2222002200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-222221222-2-21112-2-22-2-1-12-1-1-2-1-1001123−23−232300−33−33003−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-222221222-2-21112-2-22-2-1-12-1-1-2-1-10011−232323−23003−33−300−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-2-2-2-2-21222-2-2111222-2211-2112-1-100-1-10000003-3-3300-333-30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-2-2-2-2-21222-2-2111222-2211-2112-1-100-1-1000000-333-3003-3-330000000000000000000000000000000000
χ858-8000880000-8-8000080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-4000000040000000043−43000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-40000000400000000−4343000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-4000000040000043−43000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-40000000400000−4343000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−432000006-6-200000−23230−2323000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−4343200000-66-200000−2323023−23000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−43200000-66-20000023−230−2323000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−43432000006-6-20000023−23023−23000000000000000000000000000000000000000000000000000000000

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