Finite Group Databasebeta

← Group #11784979

Character table — Group #11784979

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242422222244446666668812121212121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1
χ9111-1-11111-1-11-1-111111-1-11-1-1-1111-1111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11-1i−i1-111-1-1i−iii−i−i1-1ii−i−i11-1-1i−i
χ10111-1-11111-1-11-1-111111-1-11-1-1-1111-1111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11-11i−i-1111-1-1−iiii−i−i-11−i−iii-1-111−ii
χ11111-1-11111-1-11-1-111111-1-11-1-1-1111-1111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-11-1−ii1-1-1-111i−i−i−iii1-1ii−i−i-1-111−ii
χ12111-1-11111-1-11-1-111111-1-11-1-1-1111-1111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11-11−ii-11-1-111−ii−i−iii-11−i−iii11-1-1i−i
χ13111-1-11111-1-11-1-111111-1-11-1-1-1111-1111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11-1−ii1-111-1-1−ii−i−iii1-1−i−iii11-1-1−ii
χ14111-1-11111-1-11-1-111111-1-11-1-1-1111-1111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11-11−ii-1111-1-1i−i−i−iii-11ii−i−i-1-111i−i
χ15111-1-11111-1-11-1-111111-1-11-1-1-1111-1111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-11-1i−i1-1-1-111−iiii−i−i1-1−i−iii-1-111i−i
χ16111-1-11111-1-11-1-111111-1-11-1-1-1111-1111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11-11i−i-11-1-111i−iii−i−i-11ii−i−i11-1-1−ii
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-2-22002-20000000000-220000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-222-200-2200000000002-20000000000
χ19222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-12-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200002200-1-1-1-100-1-1-1-1000000000000
χ20222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-12-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2001111001111000000000000
χ21222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-12-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-211111122220000-2-200-1-1-1-1001111000000000000
χ22222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-12-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-200002200111100-1-1-1-1000000000000
χ2322222-122222222-1-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200-1-10000220000-1-1-1-1-1-1000000
χ2422222-122222222-1-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200110000-2-20000111111000000
χ2522222-122222222-1-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000222200-1-10000-2-20000-1-11111000000
χ2622222-122222222-1-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-20011000022000011-1-1-1-1000000
χ2722222-12-2-2-2-2222-111-1-1-1-122-1-1-1-2-2-2111-21111-1-100113−30033−3−33−30033−3−300002-2-2200-1100000000001-13−33−3000000
χ2822222-12-2-2-2-2222-111-1-1-1-122-1-1-1-2-2-2111-21111-1-100113−30033−3−33−30033−3−30000-222-2001-10000000000-11−33−33000000
χ2922222-12-2-2-2-2222-111-1-1-1-122-1-1-1-2-2-2111-21111-1-10011−3300−3−333−3300−3−33300002-2-2200-1100000000001-1−33−33000000
χ3022222-12-2-2-2-2222-111-1-1-1-122-1-1-1-2-2-2111-21111-1-10011−3300−3−333−3300−3−3330000-222-2001-10000000000-113−33−3000000
χ31222-2-222-2-2222-2-22-2-222-2-22-2-2-22-2-22-2-2-2222222-200-220000000000000000000022-2-200220000000000-2-20000000000
χ32222-2-222-2-2222-2-22-2-222-2-22-2-2-22-2-22-2-2-2222222-200-2200000000000000000000-2-22200-2-20000000000220000000000
χ33222-2-22-122-2-2-111222-12-2-2-1111-1-1-112-1-11-211-2-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii22-2-200002i−2i00-1-11100−i−iii000000000000
χ34222-2-22-122-2-2-111222-12-2-2-1111-1-1-112-1-11-211-2-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii-2-2220000−2i2i0011-1-100ii−i−i000000000000
χ35222-2-22-122-2-2-111222-12-2-2-1111-1-1-112-1-11-211-2-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i22-2-20000−2i2i00-1-11100ii−i−i000000000000
χ36222-2-22-122-2-2-111222-12-2-2-1111-1-1-112-1-11-211-2-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-2-22200002i−2i0011-1-100−i−iii000000000000
χ37222-2-2-1222-2-22-2-2-1-1-1-1-1112-211-122-2-1-1-1-21111-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii00002-22-200-1100002i−2i0000-11−i−iii000000
χ38222-2-2-1222-2-22-2-2-1-1-1-1-1112-211-122-2-1-1-1-21111-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii0000-22-22001-10000−2i2i00001-1ii−i−i000000
χ39222-2-2-1222-2-22-2-2-1-1-1-1-1112-211-122-2-1-1-1-21111-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i00002-22-200-110000−2i2i0000-11ii−i−i000000
χ40222-2-2-1222-2-22-2-2-1-1-1-1-1112-211-122-2-1-1-1-21111-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-22-22001-100002i−2i00001-1−i−iii000000
χ41222-2-2-12-2-2222-2-2-111-1-1112-211-1-2-221112-1-1-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i3000022-2-200-1-1000000000011−i3i3i3−i3000000
χ42222-2-2-12-2-2222-2-2-111-1-1112-211-1-2-221112-1-1-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i30000-2-22200110000000000-1-1i3−i3−i3i3000000
χ43222-2-2-12-2-2222-2-2-111-1-1112-211-1-2-221112-1-1-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i3000022-2-200-1-1000000000011i3−i3−i3i3000000
χ44222-2-2-12-2-2222-2-2-111-1-1112-211-1-2-221112-1-1-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i30000-2-22200110000000000-1-1−i3i3i3−i3000000
χ4522-22-2222-22-22222222-22-2-2-22222-2-2-2222222-2-2-200-2-200000000000000002-22-2000000002-22-2000000000000000000
χ4622-22-2222-22-22222222-22-2-2-22222-2-2-2222222-2-2-200-2-20000000000000000-22-2200000000-22-22000000000000000000
χ4722-22-222-22-222222-2-22-22-2-2-2222-2222-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000000002-22-200
χ4822-22-222-22-222222-2-22-22-2-2-2222-2222-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000-22-2200
χ4922-22-22-12-22-2-1-1-1222-1-22-211-1-1-1-111-2-1-1-12-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i32-22-200000000-11-1100−i3i3−i3i3000000000000
χ5022-22-22-12-22-2-1-1-1222-1-22-211-1-1-1-111-2-1-1-12-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3-22-22000000001-11-100i3−i3i3−i3000000000000
χ5122-22-22-12-22-2-1-1-1222-1-22-211-1-1-1-111-2-1-1-12-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i32-22-200000000-11-1100i3−i3i3−i3000000000000
χ5222-22-22-12-22-2-1-1-1222-1-22-211-1-1-1-111-2-1-1-12-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3-22-22000000001-11-100−i3i3−i3i3000000000000
χ5322-2-22222-2-222-2-22222-2-22-22-2-222-22-222-2-2-2-22-2200-2200000000000000002-2-22000000002-2-22000000000000000000
χ5422-2-22222-2-222-2-22222-2-22-22-2-222-22-222-2-2-2-22-2200-220000000000000000-222-200000000-222-2000000000000000000
χ5522-2-2222-222-22-2-22-2-22-2-22-22-2-22-22-22-2-22222-2-22002-2000000000000000000000000000000000000000000002-2-2200
χ5622-2-2222-222-22-2-22-2-22-2-22-22-2-22-22-22-2-22222-2-22002-200000000000000000000000000000000000000000000-222-200
χ5722-2-222-12-2-22-111222-1-2-221-111-1-11-1-2-1-11-21121-1001-1003−33−33−300−33−33−332-2-2200000000-111-1003−3−33000000000000
χ5822-2-222-12-2-22-111222-1-2-221-111-1-11-1-2-1-11-21121-1001-1003−33−33−300−33−33−33-222-2000000001-1-1100−333−3000000000000
χ5922-2-222-12-2-22-111222-1-2-221-111-1-11-1-2-1-11-21121-1001-100−33−33−33003−33−33−32-2-2200000000-111-100−333−3000000000000
χ6022-2-222-12-2-22-111222-1-2-221-111-1-11-1-2-1-11-21121-1001-100−33−33−33003−33−33−3-222-2000000001-1-11003−3−33000000000000
χ61444444-2-4-4-4-4-2-2-24-4-4-2444-2-2-2-2-2222-4222-422-4-2-2002200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-2-211-2114411-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-2-211-211-4-4112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21112222-1-122-1-121100-1-123−2300−3−33323−2300−3−3330000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-21112222-1-122-1-121100-1-1−23230033−3−3−23230033−3−30000000000000000000000000000000000
χ66444-4-44-2-4-444-2224-4-4-24-4-4-2222-222-2-422-24-2-24-22002-200000000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-222-2-2-21-222-22-1-11-2-22-21122-1-121-14i−4i1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ68444-4-4-2-244-4-4-222-2-2-21-222-22-1-11-2-22-21122-1-121-1−4i4i1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ69444-4-4-2-2-4-444-222-2221-222-22-1-1122-22-1-1-2-211-21-100-11−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-222-2221-222-22-1-1122-22-1-1-2-211-21-100-112i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i30000000000000000000000000000000000
χ7144-44-44-2-44-44-2-2-24-4-4-2-44-422-2-2-22-2-24222-42242200-2-200000000000000000000000000000000000000000000000000
χ7244-44-4-244-44-4444-2-2-2-22-22-4-4-2-2-24-4-42-2-24-2-2-2222002200000000000000000000000000000000000000000000000000
χ7344-44-4-24-44-44444-222-22-22-4-4-2-2-2-444-222-4222-22200-2-200000000000000000000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-2-2-2-2-212-2222111-222211-2-2112-1-100-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-2-2-212-2222111-222211-2-2112-1-100-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-2-2-22212-22221112-2-2-2-1-122-1-1-2-1-1001100003i−3i−3i3i00003i−3i−3i3i0000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-22212-22221112-2-2-2-1-122-1-1-2-1-100110000−3i3i3i−3i0000−3i3i3i−3i0000000000000000000000000000000000
χ7844-4-444-2-444-4-2224-4-4-2-4-442-222-22-22422-24-2-2-42-200-2200000000000000000000000000000000000000000000000000
χ7944-4-44-244-4-444-4-4-2-2-2-222-2-4422-24-442-2-2-4222-22-2002-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-44-4-4-222-222-2-4422-2-44-4-2224-2-2-222-200-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-222-2-2-2122-22-2-1-11-22-221122-1-1-2-1100-110023−23−33−3300−23233−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-222-2-2-2122-22-2-1-11-22-221122-1-1-2-1100-1100−23233−33−30023−23−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-222-222122-22-2-1-112-22-2-1-1-2-2112-11001-100003-3-330000-333-30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-222-222122-22-2-1-112-22-2-1-1-2-2112-11001-10000-333-300003-3-330000000000000000000000000000000000
χ858-8000880000-800-80080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-400004−4i34i3-800-400000−4i34i340000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-4000044i3−4i3-800-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000-800443−43-400000004000043−430000000000000000000000000000000000000000000000000000000000000
χ898-8000-480000-8004−4343-4000000040000−43430000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3443−432000002i3−2i3-20000−2323006i−6i000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34−43432000002i3−2i3-2000023−2300−6i6i000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3443−43200000−2i32i3-20000−232300−6i6i000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34−4343200000−2i32i3-2000023−23006i−6i000000000000000000000000000000000000000000000000000000000

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