Finite Group Databasebeta

← Group #11784978

Character table — Group #11784978

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242422222244444466666612121212121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1
χ9111-1-11111-1-11-1-11-1-111-11-1-1-11-111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1i−ii−i1111-1-1ii−i−i-1-1ii−i−i1-11-1i−i
χ10111-1-11111-1-11-1-11-1-111-11-1-1-11-111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-111i−i−ii-1-111-1-1ii−i−i11−i−iii-11-11−ii
χ11111-1-11111-1-11-1-11-1-111-11-1-1-11-111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-11111-1-1−iii−i11-1-111−i−iii-1-1ii−i−i-11-11−ii
χ12111-1-11111-1-11-1-11-1-111-11-1-1-11-111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111-1-111−ii−ii-1-1-1-111−i−iii11−i−iii1-11-1i−i
χ13111-1-11111-1-11-1-11-1-111-11-1-1-11-111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1−ii−ii1111-1-1−i−iii-1-1−i−iii1-11-1−ii
χ14111-1-11111-1-11-1-11-1-111-11-1-1-11-111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-111−iii−i-1-111-1-1−i−iii11ii−i−i-11-11i−i
χ15111-1-11111-1-11-1-11-1-111-11-1-1-11-111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-11111-1-1i−i−ii11-1-111ii−i−i-1-1−i−iii-11-11i−i
χ16111-1-11111-1-11-1-11-1-111-11-1-1-11-111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-111-1-111i−ii−i-1-1-1-111ii−i−i11ii−i−i1-11-1−ii
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000002-2-2200
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000-222-200
χ19222222-12222-1-1-1222-122-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000220000-1-1-1-1-1-1-1-1000000000000
χ20222222-12222-1-1-1222-122-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2000011111111000000000000
χ21222222-12222-1-1-1222-122-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111122220000-2-20000-1-1-1-11111000000000000
χ22222222-12222-1-1-1222-122-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-200002200001111-1-1-1-1000000000000
χ2322222-122222222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022220022-1-100000000-1-1-1-1-1-1000000
χ2422222-122222222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-200-2-21100000000111111000000
χ2522222-122222222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-12-1-1-1-1-2-2-1-11111-2-21111-2-211110000222200-2-2-1-100000000-1-11111000000
χ2622222-122222222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-12-1-1-1-1-2-2-1-11111-2-21111-2-211110000-2-2-2-20022110000000011-1-1-1-1000000
χ27222-2-222-2-2222-2-222222-22-2-2-22-2-2-22-2-22-2-22222-200-220000000000000000000000000000000000000000000022-2-200
χ28222-2-222-2-2222-2-222222-22-2-2-22-2-2-22-2-22-2-22222-200-2200000000000000000000000000000000000000000000-2-22200
χ29222-2-22-122-2-2-1112-2-2-12-2-1111-1-2-1-1122-2-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii22-2-200002i−2i0000-1-111−i−iii000000000000
χ30222-2-22-122-2-2-1112-2-2-12-2-1111-1-2-1-1122-2-1-1111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii-2-2220000−2i2i000011-1-1ii−i−i000000000000
χ31222-2-22-122-2-2-1112-2-2-12-2-1111-1-2-1-1122-2-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i22-2-20000−2i2i0000-1-111ii−i−i000000000000
χ32222-2-22-122-2-2-1112-2-2-12-2-1111-1-2-1-1122-2-1-1111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i-2-22200002i−2i000011-1-1−i−iii000000000000
χ33222-2-2-1222-2-22-2-2-111-1-112-211-1122-2-1-11-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii000022-2-2002i−2i-1-10000000011−i−iii000000
χ34222-2-2-1222-2-22-2-2-111-1-112-211-1122-2-1-11-1-1-211-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000-2-22200−2i2i1100000000-1-1ii−i−i000000
χ35222-2-2-1222-2-22-2-2-111-1-112-211-1122-2-1-11-1-1-211-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i000022-2-200−2i2i-1-10000000011ii−i−i000000
χ36222-2-2-1222-2-22-2-2-111-1-112-211-1122-2-1-11-1-1-211-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000-2-222002i−2i1100000000-1-1−i−iii000000
χ3722-22-2222-22-22222222-22-2-2222-22-2-22-2-222222-2-200-2-200000000000000002-22-200000000002-22-20000000000000000
χ3822-22-2222-22-22222222-22-2-2222-22-2-22-2-222222-2-200-2-20000000000000000-22-220000000000-22-220000000000000000
χ3922-22-222-22-222222-2-22-22-2-2222-2-222-222-2-2-2-2-2-2-20022000000000000000000002-22-200002-2000000002-20000000000
χ4022-22-222-22-222222-2-22-22-2-2222-2-222-222-2-2-2-2-2-2-2002200000000000000000000-22-220000-2200000000-220000000000
χ4122-22-22-12-22-2-1-1-1222-1-2211-1-1-1-2-1112-2-2-1-1-1-1-11100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i32-22-20000000000-11-11−i3i3−i3i3000000000000
χ4222-22-22-12-22-2-1-1-1222-1-2211-1-1-1-2-1112-2-2-1-1-1-1-11100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-22-2200000000001-11-1i3−i3i3−i3000000000000
χ4322-22-22-12-22-2-1-1-1222-1-2211-1-1-1-2-1112-2-2-1-1-1-1-11100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32-22-20000000000-11-11i3−i3i3−i3000000000000
χ4422-22-22-12-22-2-1-1-1222-1-2211-1-1-1-2-1112-2-2-1-1-1-1-11100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-22-2200000000001-11-1−i3i3−i3i3000000000000
χ4522-22-2-12-22-22222-111-11-1-2-2-1-1-11-2221-1-111-2111100-1-13−33−3003−33−3003−33−300002-22-20000-1100000000-113−33−3000000
χ4622-22-2-12-22-22222-111-11-1-2-2-1-1-11-2221-1-111-2111100-1-13−33−3003−33−3003−33−30000-22-2200001-1000000001-1−33−33000000
χ4722-22-2-12-22-22222-111-11-1-2-2-1-1-11-2221-1-111-2111100-1-1−33−3300−33−3300−33−3300002-22-20000-1100000000-11−33−33000000
χ4822-22-2-12-22-22222-111-11-1-2-2-1-1-11-2221-1-111-2111100-1-1−33−3300−33−3300−33−330000-22-2200001-1000000001-13−33−3000000
χ4922-2-22222-2-222-2-22-2-22-2-2-22-2-2222-222-2222-2-2-2-2200-2200000000000000002-2-2200000000002-2-220000000000000000
χ5022-2-22222-2-222-2-22-2-22-2-2-22-2-2222-222-2222-2-2-2-2200-220000000000000000-222-20000000000-222-20000000000000000
χ5122-2-2222-222-22-2-22222-2-2-22-2-222-22-2-22-2-2-2222-22002-2000000000000000000002-2-2200002-200000000-220000000000
χ5222-2-2222-222-22-2-22222-2-2-22-2-222-22-2-22-2-2-2222-22002-200000000000000000000-222-20000-22000000002-20000000000
χ5322-2-222-12-2-22-1112-2-2-1-2-21-111-12-11-12-22-1-11111-1001-100003−333−3−3−33−3−3332-2-220000000000-111-13−3−33000000000000
χ5422-2-222-12-2-22-1112-2-2-1-2-21-111-12-11-12-22-1-11111-1001-100003−333−3−3−33−3−333-222-200000000001-1-11−333−3000000000000
χ5522-2-222-12-2-22-1112-2-2-1-2-21-111-12-11-12-22-1-11111-1001-10000−33−3−3333−333−3−32-2-220000000000-111-1−333−3000000000000
χ5622-2-222-12-2-22-1112-2-2-1-2-21-111-12-11-12-22-1-11111-1001-10000−33−3−3333−333−3−3-222-200000000001-1-113−3−33000000000000
χ5722-2-22-12-222-22-2-2-1-1-1-111-2211-1-1-22-21-11112-1-11-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i300002-2-220000-11000000001-1−i3i3i3−i3000000
χ5822-2-22-12-222-22-2-2-1-1-1-111-2211-1-1-22-21-11112-1-11-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i30000-222-200001-100000000-11i3−i3−i3i3000000
χ5922-2-22-12-222-22-2-2-1-1-1-111-2211-1-1-22-21-11112-1-11-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i300002-2-220000-11000000001-1i3−i3−i3i3000000
χ6022-2-22-12-222-22-2-2-1-1-1-111-2211-1-1-22-21-11112-1-11-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i30000-222-200001-100000000-11−i3i3i3−i3000000
χ61444444-2-4-4-4-4-2-2-24-4-4-244-2-2-2-2-24222-4-4-422222-2-2002200000000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-4444-222-2-2-244-2-2-2-2-4-4-422222-422-2-2002200000000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-211-211114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-211-21111-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-12-1-11100-1-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-12-1-11100-1-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ67444-4-44-2-4-444-222444-24-4-2222-2-422-2-4-4422-2-2-2-22002-200000000000000000000000000000000000000000000000000
χ68444-4-4-24-4-4444-4-4-2-2-2-2-224-422-22-4-4422-2224-2-2-22002-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-222-2221-22-22-1-112-2-22-2-22112-1-11-14i−4i1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ70444-4-4-2-244-4-4-222-2221-22-22-1-112-2-22-2-22112-1-11-1−4i4i1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ71444-4-4-2-2-4-444-222-2-2-21-22-22-1-11222-222-2-1-1-2111-100-110000003-3-3300-333-30000000000000000000000000000000000
χ72444-4-4-2-2-4-444-222-2-2-21-22-22-1-11222-222-2-1-1-2111-100-11000000-333-3003-3-330000000000000000000000000000000000
χ7344-44-44-2-44-44-2-2-24-4-4-2-4422-2-2-2-42-2-2-444222222200-2-200000000000000000000000000000000000000000000000000
χ7444-44-4-244-44-4444-2-2-2-22-2-4-4-2-2-224-4-4-222-2-24-2-222002200000000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-2-2-212-2221112-222-22211-211-1-100-1-10000−2i32i3i3i3−i3−i3−2i32i3i3i3−i3−i30000000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-2-2-212-2221112-222-22211-211-1-100-1-100002i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i30000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-22212-22211122-2-22-2-2-1-12-1-1-1-1001123−2323−2300−33−3300−33−330000000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-2-2-22212-22211122-2-22-2-2-1-12-1-1-1-10011−2323−2323003−33−3003−33−30000000000000000000000000000000000
χ7944-4-444-2-444-4-222444-2-4-42-222-242-22-44-422-2-2-22-200-2200000000000000000000000000000000000000000000000000
χ8044-4-44-244-4-444-4-4-222-222-4422-2-24-44-22-2-2-2-4222-2002-200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-222-2221222-2-1-11-2-22-2-22-2112-1-1-1100-11000023−23−3−333−232333−3−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-222-2221222-2-1-11-2-22-2-22-2112-1-1-1100-110000−232333−3−323−23−3−3330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-222-2-2-21222-2-1-11-22-222-22-1-1-211-11001-1−2i32i32i3−2i300i3−i3i3−i300−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-222-2-2-21222-2-1-11-22-222-22-1-1-211-11001-12i3−2i3−2i32i300−i3i3−i3i300i3−i3i3−i30000000000000000000000000000000000
χ858-8000880000-800-8008000000-800000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-400004−4i34i3-800-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-4000044i3−4i3-800-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000-800443−43-40000004000000000043−4300000000000000000000000000000000000000000000000000000000
χ898-8000-480000-8004−4343-400000040000000000−434300000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3443−43200002i3−2i3-200000006i−6i0−232300000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34−4343200002i3−2i3-20000000−6i6i023−2300000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3443−4320000−2i32i3-20000000−6i6i0−232300000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34−434320000−2i32i3-200000006i−6i023−2300000000000000000000000000000000000000000000000000000000

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