Finite Group Databasebeta

← Group #11788816

Character table — Group #11788816

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242444444444448812121212121212121212121224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
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
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
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
χ911-11-11111-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-1
χ1011-11-11111-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-11i−i11-1-1−i−iii-1-111ii−i−i−i−iii-11
χ1111-11-11111-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i1-1−ii-1-111ii−i−i11-1-1−i−iii−i−iii-11
χ1211-11-11111-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-1-11-1i−i1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-11−ii-1-111−i−iii-1-111−i−iiiii−i−i1-1
χ1311-11-11111-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-11−ii11-1-1ii−i−i-1-111−i−iiiii−i−i-11
χ1411-11-11111-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−i−iii−i−iii1-1
χ1511-11-11111-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-11i−i-1-111ii−i−i-1-111ii−i−i−i−iii1-1
χ1611-11-11111-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-1-11-1−ii1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii1-1i−i-1-111−i−iii11-1-1ii−i−iii−i−i-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-22-2000000002-22-2000000000000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-2200000000-22-22000000000000000000
χ19222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222222000000-1-1-1-1-1-1-1-10000000000
χ20222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-2000000111111110000000000
χ21222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-211111100002222-2-2000000-1-1-1-111110000000000
χ22222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-12-1-12-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-2220000001111-1-1-1-10000000000
χ2322222-122222-1-12-122-1-1-12-1-1-12222-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200000022-1-1-1-100000000-1-1-1-1000000
χ2422222-122222-1-12-122-1-1-12-1-1-12222-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-21111000000001111000000
χ2522222-122222-1-12-122-1-1-12-1-1-12222-1-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-211112222000000-2-2-1-1-1-1000000001111000000
χ2622222-122222-1-12-122-1-1-12-1-1-12222-1-1-1-12-1-1-1-1-1-1-2-2-1-111-2-2111111-2-21111-2-2-2-200000022111100000000-1-1-1-1000000
χ2722222-12-2-2-2-2-1-12-1-2-2-1-1-12-1-1-122-2-21111-21111-1-100113−30033−3−33−30033−3−32-22-200000000-11-11000000003−33−3000000
χ2822222-12-2-2-2-2-1-12-1-2-2-1-1-12-1-1-122-2-21111-21111-1-100113−30033−3−33−30033−3−3-22-22000000001-11-100000000−33−33000000
χ2922222-12-2-2-2-2-1-12-1-2-2-1-1-12-1-1-122-2-21111-21111-1-10011−3300−3−333−3300−3−3332-22-200000000-11-1100000000−33−33000000
χ3022222-12-2-2-2-2-1-12-1-2-2-1-1-12-1-1-122-2-21111-21111-1-10011−3300−3−333−3300−3−333-22-22000000001-11-1000000003−33−3000000
χ31222-2-2222-22-22222222-2-22222-2-2-2-22-2222222-2-2-200-2-2000000000000000000002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ32222-2-2222-22-22222222-2-22222-2-2-2-22-2222222-2-2-200-2-200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ33222-2-222-22-222222-2-22-2-22222-2-222-22-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000000002i−2i2i−2i00
χ34222-2-222-22-222222-2-22-2-22222-2-222-22-2-2-2-2-2-22-2-2002200000000000000000000000000000000000000000000−2i2i−2i2i00
χ35222-2-22-12-22-222-12-1-1-1-2-2-1-1-1-111112-2-1-1-12-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300002i−2i2i−2i00000000−ii−ii3−33−30000000000
χ36222-2-22-12-22-222-12-1-1-1-2-2-1-1-1-111112-2-1-1-12-1-1-211001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30000−2i2i−2i2i00000000i−ii−i−33−330000000000
χ37222-2-22-12-22-222-12-1-1-1-2-2-1-1-1-111112-2-1-1-12-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300002i−2i2i−2i00000000−ii−ii−33−330000000000
χ38222-2-22-12-22-222-12-1-1-1-2-2-1-1-1-111112-2-1-1-12-1-1-211001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30000−2i2i−2i2i00000000i−ii−i3−33−30000000000
χ3922-22-222-2-222-2-222-2-222-2-2-2-222-2-22-2-2-2-2222222-200-2200000000000000002-2-22000000002-2-22000000000000000000
χ4022-22-222-2-222-2-222-2-222-2-2-2-222-2-22-2-2-2-2222222-200-220000000000000000-222-200000000-222-2000000000000000000
χ4122-22-22-122-2-2-2-2-12-1-1-12-2111-1-11-1122-1-11-211-2-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i2-2000000−i−iii-1-1110000000000
χ4222-22-22-122-2-2-2-2-12-1-1-12-2111-1-11-1122-1-11-211-2-112i−2i-112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i-22000000ii−i−i11-1-10000000000
χ4322-22-22-122-2-2-2-2-12-1-1-12-2111-1-11-1122-1-11-211-2-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i-22000000−i−iii11-1-10000000000
χ4422-22-22-122-2-2-2-2-12-1-1-12-2111-1-11-1122-1-11-211-2-11−2i2i-11−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i2-2000000ii−i−i-1-1110000000000
χ4522-22-2-1222-2-2112-122-1-11-211-12-22-2-1-1-1-1-21111-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii22-2-20000002i−2i-1-11100000000−i−iii000000
χ4622-22-2-1222-2-2112-122-1-11-211-12-22-2-1-1-1-1-21111-112i−2i-11−i−i2i2i−i−i−i−iii−2i−2iiiii-2-222000000−2i2i11-1-100000000ii−i−i000000
χ4722-22-2-1222-2-2112-122-1-11-211-12-22-2-1-1-1-1-21111-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i22-2-2000000−2i2i-1-11100000000ii−i−i000000
χ4822-22-2-1222-2-2112-122-1-11-211-12-22-2-1-1-1-1-21111-11−2i2i-11ii−2i−2iiiii−i−i2i2i−i−i−i−i-2-2220000002i−2i11-1-100000000−i−iii000000
χ4922-22-2-12-2-222112-1-2-2-1-11-211-12-2-2211112-1-1-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i32-2-2200000000-111-100000000−i3i3i3−i3000000
χ5022-22-2-12-2-222112-1-2-2-1-11-211-12-2-2211112-1-1-1-1-11001-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i3-222-2000000001-1-1100000000i3−i3−i3i3000000
χ5122-22-2-12-2-222112-1-2-2-1-11-211-12-2-2211112-1-1-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i32-2-2200000000-111-100000000i3−i3−i3i3000000
χ5222-22-2-12-2-222112-1-2-2-1-11-211-12-2-2211112-1-1-1-1-11001-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i3-222-2000000001-1-1100000000−i3i3i3−i3000000
χ5322-2-22222-2-22-2-222222-22-2-2-22-22-222-222-2-2-2-22-2200-22000000000000000000002-2-22000000002-2-2200000000000000
χ5422-2-22222-2-22-2-222222-22-2-2-22-22-222-222-2-2-2-22-2200-2200000000000000000000-222-200000000-222-200000000000000
χ5522-2-2222-222-2-2-222-2-22-22-2-2-22-222-2-22-2-22222-2-22002-2000000000000000000000000000000000000000000002-2-2200
χ5622-2-2222-222-2-2-222-2-22-22-2-2-22-222-2-22-2-22222-2-22002-200000000000000000000000000000000000000000000-222-200
χ5722-2-222-12-2-22-2-2-12-1-1-1-22111-11-11-12-2-1-11-21121-1001-1003−33−33−300−33−33−3300002-2-2200000000-111-1−333−30000000000
χ5822-2-222-12-2-22-2-2-12-1-1-1-22111-11-11-12-2-1-11-21121-1001-1003−33−33−300−33−33−330000-222-2000000001-1-113−3−330000000000
χ5922-2-222-12-2-22-2-2-12-1-1-1-22111-11-11-12-2-1-11-21121-1001-100−33−33−33003−33−33−300002-2-2200000000-111-13−3−330000000000
χ6022-2-222-12-2-22-2-2-12-1-1-1-22111-11-11-12-2-1-11-21121-1001-100−33−33−33003−33−33−30000-222-2000000001-1-11−333−30000000000
χ61444444-2-4-4-4-444-2422-244-2-2-2-2-2-222-4-4222-422-4-2-2002200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-2-211-2114411-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-2-211-211-4-4112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-22222-1-122-1-121100-1-123−2300−3−33323−2300−3−3330000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-22222-1-122-1-121100-1-1−23230033−3−3−23230033−3−30000000000000000000000000000000000
χ66444-4-44-2-44-4444-2422-2-4-4-2-2-2-222-2-2-44222-42242200-2-200000000000000000000000000000000000000000000000000
χ67444-4-4-244-44-4-2-24-244-2224-2-2-2-4-4-4-4-22-2-24-2-2-2222002200000000000000000000000000000000000000000000000000
χ68444-4-4-24-44-44-2-24-2-4-4-2224-2-2-2-4-4442-222-4222-22200-2-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-2122-21112222-2211-2-2112-1-100-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-2122-21112222-2211-2-2112-1-100-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-2-2-222122-211122-2-22-2-1-122-1-1-2-1-1001100003i−3i−3i3i00003i−3i−3i3i0000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-2-2-222122-211122-2-22-2-1-122-1-1-2-1-100110000−3i3i3i−3i0000−3i3i3i−3i0000000000000000000000000000000000
χ7344-44-44-2-4-444-4-4-2422-24-4222-2-222-2-4-422-24-2-24-22002-200000000000000000000000000000000000000000000000000
χ7444-44-4-2-244-4-422-2-2-2-21-222-1-11-22-22-2-21122-1-121-14i−4i1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ7544-44-4-2-244-4-422-2-2-2-21-222-1-11-22-22-2-21122-1-121-1−4i4i1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ7644-44-4-2-2-4-44422-2-2221-222-1-11-222-222-1-1-2-211-21-100-11−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i30000000000000000000000000000000000
χ7744-44-4-2-2-4-44422-2-2221-222-1-11-222-222-1-1-2-211-21-100-112i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i30000000000000000000000000000000000
χ7844-4-444-2-444-4-4-4-2422-2-44222-22-2-22-4422-24-2-2-42-200-2200000000000000000000000000000000000000000000000000
χ7944-4-44-244-4-44224-244-22-2-422-2-44-44-22-2-2-4222-22-2002-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4224-2-4-4-22-2-422-2-444-42-2224-2-2-222-200-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-2-2-212-22-1-112-22-2-221122-1-1-2-1100-110023−23−33−3300−23233−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-2-2-212-22-1-112-22-2-221122-1-1-2-1100-1100−23233−33−30023−23−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-22212-22-1-112-2-222-2-1-1-2-2112-11001-100003-3-330000-333-30000000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-22212-22-1-112-2-222-2-1-1-2-2112-11001-10000-333-300003-3-330000000000000000000000000000000000
χ858-800088000000-8-800800000-8000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000004-843−43-400000400000043−430000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000004-8−4343-4000004000000−43430000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3-8400-4000−4i34i34000000000000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3-8400-40004i3−4i34000000000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−4320002i3−2i3-2000000−2323006i−6i000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−434320002i3−2i3-200000023−2300−6i6i000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−432000−2i32i3-2000000−232300−6i6i000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−43432000−2i32i3-200000023−23006i−6i000000000000000000000000000000000000000000000000000000000

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