Finite Group Databasebeta

← Group #11784969

Character table — Group #11784969

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444661212121236666666661212121212121212121244661212121212121212121212121212121212122222444444666688121212121212121224242424222288
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1
χ9111-1-11111-1-11111-1-1111-1-1-11-1-1-1111-1-1-111-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i1-1111-1-1-1i−i1-111i−i1-1-1-1ii−i−iii−i−i11-1-1i−i
χ10111-1-11111-1-11111-1-1111-1-1-11-1-1-1111-1-1-111-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i1-1-1-11-111i−i1-1-1-1−ii1-111ii−i−i−i−iii-1-111−ii
χ11111-1-11111-1-11111-1-1111-1-1-11-1-1-1111-1-1-111-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-1111-11-1-1−ii-1111i−i-11-1-1−i−iiiii−i−i-1-111−ii
χ12111-1-11111-1-11111-1-1111-1-1-11-1-1-1111-1-1-111-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1111−ii-11-1-1−ii-1111−i−iii−i−iii11-1-1i−i
χ13111-1-11111-1-11111-1-1111-1-1-11-1-1-1111-1-1-111-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii1-1111-1-1-1−ii1-111−ii1-1-1-1−i−iii−i−iii11-1-1−ii
χ14111-1-11111-1-11111-1-1111-1-1-11-1-1-1111-1-1-111-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii1-1-1-11-111−ii1-1-1-1i−i1-111−i−iiiii−i−i-1-111i−i
χ15111-1-11111-1-11111-1-1111-1-1-11-1-1-1111-1-1-111-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-1111-11-1-1i−i-1111−ii-11-1-1ii−i−i−i−iii-1-111i−i
χ16111-1-11111-1-11111-1-1111-1-1-11-1-1-1111-1-1-111-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1111i−i-11-1-1i−i-1111ii−i−iii−i−i11-1-1−ii
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000002-200-2200002-20000-220000000000000000
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000-22002-20000-2200002-20000000000000000
χ19222222-122222-122-1-1-12-1-12-1-1-1-122-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1002200220000-1-12200-1-10000-1-1-1-1000000
χ20222222-122222-122-1-1-12-1-12-1-1-1-122-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-2000011-2-2001100001111000000
χ21222222-122222-122-1-1-12-1-12-1-1-1-122-1-122-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-2111111002200220000-1-1-2-200-1-100001111000000
χ22222222-122222-122-1-1-12-1-12-1-1-1-122-1-122-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-211111100-2-200-2-20000112200110000-1-1-1-1000000
χ2322222-122222-12-1-122-1-122-12-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12200220022-1-10000-1-100-1-1-1-10000000000
χ2422222-122222-12-1-122-1-122-12-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200-2-2110000110011110000000000
χ2522222-122222-12-1-122-1-122-12-1-1-1-1-122-1-12-1-1-1-1-2-2-1-1-1-111-2-2111111-2-2111122002200-2-2-1-10000-1-10011110000000000
χ2622222-122222-12-1-122-1-122-12-1-1-1-1-122-1-12-1-1-1-1-2-2-1-1-1-111-2-2111111-2-21111-2-200-2-200221100001100-1-1-1-10000000000
χ2722222-12-2-2-2-2-1211-2-2-1-122-12-1-1-1-11-2-211-2111100-1-111−i3i300−i3−i3i3i3−i3i300−i3−i3i3i32-200-220000-1100001-100−i3i3−i3i30000000000
χ2822222-12-2-2-2-2-1211-2-2-1-122-12-1-1-1-11-2-211-2111100-1-111−i3i300−i3−i3i3i3−i3i300−i3−i3i3i3-22002-200001-10000-1100i3−i3i3−i30000000000
χ2922222-12-2-2-2-2-1211-2-2-1-122-12-1-1-1-11-2-211-2111100-1-111i3−i300i3i3−i3−i3i3−i300i3i3−i3−i32-200-220000-1100001-100i3−i3i3−i30000000000
χ3022222-12-2-2-2-2-1211-2-2-1-122-12-1-1-1-11-2-211-2111100-1-111i3−i300i3i3−i3−i3i3−i300i3i3−i3−i3-22002-200001-10000-1100−i3i3−i3i30000000000
χ31222-2-222-2-22222-2-222222-2-2-22-2-2-2-2-2-2222-2-222002-2-2200000000000000002200-2-20000220000-2-20000000000000000
χ32222-2-222-2-22222-2-222222-2-2-22-2-2-2-2-2-2222-2-222002-2-220000000000000000-2-200220000-2-20000220000000000000000
χ33222-2-22-122-2-22-12211-12-11-21-111-22-1-1-2-21-1-1112i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii002200-2-20000-1-12i−2i00110000−i−iii000000
χ34222-2-22-122-2-22-12211-12-11-21-111-22-1-1-2-21-1-1112i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii00-2-20022000011−2i2i00-1-10000ii−i−i000000
χ35222-2-22-122-2-22-12211-12-11-21-111-22-1-1-2-21-1-111−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i002200-2-20000-1-1−2i2i00110000ii−i−i000000
χ36222-2-22-122-2-22-12211-12-11-21-111-22-1-1-2-21-1-111−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i00-2-200220000112i−2i00-1-10000−i−iii000000
χ37222-2-2-1222-2-2-12-1-1-2-2-1-12-21-2-1111-12211-2-1-1112i−2i-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii2-2002-2002i−2i-110000-1100−i−iii0000000000
χ38222-2-2-1222-2-2-12-1-1-2-2-1-12-21-2-1111-12211-2-1-1112i−2i-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii-2200-2200−2i2i1-100001-100ii−i−i0000000000
χ39222-2-2-1222-2-2-12-1-1-2-2-1-12-21-2-1111-12211-2-1-111−2i2i-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i2-2002-200−2i2i-110000-1100ii−i−i0000000000
χ40222-2-2-1222-2-2-12-1-1-2-2-1-12-21-2-1111-12211-2-1-111−2i2i-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i-2200-22002i−2i1-100001-100−i−iii0000000000
χ41222-2-2-12-2-222-121122-1-12-21-2-11111-2-2-1-1211-1-100-111-13−30033−3−3−3300−3−3332200-2-20000-1-1000011003−3−330000000000
χ42222-2-2-12-2-222-121122-1-12-21-2-11111-2-2-1-1211-1-100-111-13−30033−3−3−3300−3−333-2-200220000110000-1-100−333−30000000000
χ43222-2-2-12-2-222-121122-1-12-21-2-11111-2-2-1-1211-1-100-111-1−3300−3−3333−30033−3−32200-2-20000-1-100001100−333−30000000000
χ44222-2-2-12-2-222-121122-1-12-21-2-11111-2-2-1-1211-1-100-111-1−3300−3−3333−30033−3−3-2-200220000110000-1-1003−3−330000000000
χ4522-22-2222-22-22222222-2-2-222222-2-22-22-2-2222200-2-2-2-20000000000000000002-2002-200002-200002-200000000000000
χ4622-22-2222-22-22222222-2-2-222222-2-22-22-2-2222200-2-2-2-2000000000000000000-2200-220000-220000-2200000000000000
χ4722-22-222-22-2222-2-2-2-22-2-2-222222-22-22-222-2-2-2-200-2-222000000000000000000000000000000000000000000002-22-200
χ4822-22-222-22-2222-2-2-2-22-2-2-222222-22-22-222-2-2-2-200-2-22200000000000000000000000000000000000000000000-22-2200
χ4922-22-22-12-22-22-122-1-1-1-2112-1-1-1-1-2-2-112-21-1-1-1-100111100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3002-2002-20000-110000-110000−i3i3−i3i3000000
χ5022-22-22-12-22-22-122-1-1-1-2112-1-1-1-1-2-2-112-21-1-1-1-100111100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300-2200-2200001-100001-10000i3−i3i3−i3000000
χ5122-22-22-12-22-22-122-1-1-1-2112-1-1-1-1-2-2-112-21-1-1-1-100111100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3002-2002-20000-110000-110000i3−i3i3−i3000000
χ5222-22-22-12-22-22-122-1-1-1-2112-1-1-1-1-2-2-112-21-1-1-1-100111100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300-2200-2200001-100001-10000−i3i3−i3i3000000
χ5322-2-22222-2-222222-2-22-2-22-2-22-2-22-22-2-22222-2-200-22-220000000000000000002-200-2200002-20000-2200000000000000
χ5422-2-22222-2-222222-2-22-2-22-2-22-2-22-22-2-22222-2-200-22-22000000000000000000-22002-20000-2200002-200000000000000
χ5522-2-2222-222-222-2-2222-2-22-2-22-2-222-222-2-2-2-22200-222-2000000000000000000000000000000000000000000002-2-2200
χ5622-2-2222-222-222-2-2222-2-22-2-22-2-222-222-2-2-2-22200-222-200000000000000000000000000000000000000000000-222-200
χ5722-2-222-12-2-222-12211-1-21-1-21-1112-2-11-22-1-1-111001-11-1003−33−33−300−33−33−33002-200-220000-1100001-100003−3−33000000
χ5822-2-222-12-2-222-12211-1-21-1-21-1112-2-11-22-1-1-111001-11-1003−33−33−300−33−33−3300-22002-200001-10000-110000−333−3000000
χ5922-2-222-12-2-222-12211-1-21-1-21-1112-2-11-22-1-1-111001-11-100−33−33−33003−33−33−3002-200-220000-1100001-10000−333−3000000
χ6022-2-222-12-2-222-12211-1-21-1-21-1112-2-11-22-1-1-111001-11-100−33−33−33003−33−33−300-22002-200001-10000-1100003−3−33000000
χ61444444-2-4-4-4-44-2-4-422-24-2-24-2-2-2-24-422-4-42222200-2-22200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-2-21111441111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-2-21111-4-411112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-2222222-1-1-1-10011-1-1−2i32i300i3i3−i3−i3−2i32i300i3i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-2222222-1-1-1-10011-1-12i3−2i300−i3−i3i3i32i3−2i300−i3−i3i3i30000000000000000000000000000000000
χ66444-4-44-2-4-4444-2-4-4-2-2-24-22-42-222-4-42244-222-2-200-222-200000000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2221-2-22221-1-12-2-2-222211-1-14i−4i1-11-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2221-2-22221-1-12-2-2-222211-1-1−4i4i1-11-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-222-2-21-2-22221-1-12222-2-2-2-1-111001-1-1123−2300−3−333−23230033−3−30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-222-2-21-2-22221-1-12222-2-2-2-1-111001-1-11−23230033−3−323−2300−3−3330000000000000000000000000000000000
χ7144-44-44-2-44-444-2-4-422-2-4224-2-2-2-2-442-2-44-222220022-2-200000000000000000000000000000000000000000000000000
χ7244-44-4-244-44-4-24-2-244-22-4-4-24-2-2-2224-4-22-4-2-2-2-200222200000000000000000000000000000000000000000000000000
χ7344-44-4-24-44-44-2422-4-4-22-4-4-24-2-2-22-2-442-2422220022-2-200000000000000000000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-2-2-2-2-21222-2-211122-22-222111100-1-1-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-2-2-21222-2-211122-22-222111100-1-1-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-222221222-2-21112-22-22-2-2-1-1-1-100-1-11100003-3-3300003-3-330000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-222221222-2-21112-22-22-2-2-1-1-1-100-1-1110000-333-30000-333-30000000000000000000000000000000000
χ7844-4-444-2-444-44-2-4-4-2-2-2-42-2-42-222442-24-4222-2-2002-2-2200000000000000000000000000000000000000000000000000
χ7944-4-44-244-4-44-24-2-2-4-4-22-442-4-222-224-42-24-2-222002-22-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-242244-22-442-4-222-2-2-44-22-422-2-2002-2-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-222122-2221-1-1-22-222-2-211-1-100-11-110023−23−33−3300−23233−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-222122-2221-1-1-22-222-2-211-1-100-11-1100−23233−33−30023−23−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-2122-2221-1-1-2-22-2-222-1-11100-111-100003i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-2122-2221-1-1-2-22-2-222-1-11100-111-10000−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000000000
χ858-8000880000-8-80000800000-8000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-40000040000000000043−4300000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-400000400000000000−434300000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-400000400000000043−430000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-4000004000000000−43430000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−43200000-26-60000000−2323−232300000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−4343200000-2-660000000−232323−2300000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−43200000-2-66000000023−23−232300000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−4343200000-26-6000000023−2323−2300000000000000000000000000000000000000000000000000000000

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