Finite Group Databasebeta

← Group #11784970

Character table — Group #11784970

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212446612121212121212121212121212121212121222222244666666888812122424242424242424224444
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1
χ9111-1-11111-1-11-1-11-1-111-11-1-11-1-111-111-111-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-111-1-11111-1-1i−ii−i-1-1ii−i−iii−i−i1-11-1i−i
χ10111-1-11111-1-11-1-11-1-111-11-1-11-1-111-111-111-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-1-1-111-1-111-1-1i−i−ii11−i−iiiii−i−i-11-11−ii
χ11111-1-11111-1-11-1-11-1-111-11-1-11-1-111-111-111-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-11111-1-111-1-111−iii−i-1-1ii−i−i−i−iii-11-11−ii
χ12111-1-11111-1-11-1-11-1-111-11-1-11-1-111-111-111-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-111-1-111-1-1-1-111−ii−ii11−i−iii−i−iii1-11-1i−i
χ13111-1-11111-1-11-1-11-1-111-11-1-11-1-111-111-111-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-111-1-11111-1-1−ii−ii-1-1−i−iii−i−iii1-11-1−ii
χ14111-1-11111-1-11-1-11-1-111-11-1-11-1-111-111-111-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-1-1-111-1-111-1-1−iii−i11ii−i−i−i−iii-11-11i−i
χ15111-1-11111-1-11-1-11-1-111-11-1-11-1-111-111-111-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-11111-1-111-1-111i−i−ii-1-1−i−iiiii−i−i-11-11i−i
χ16111-1-11111-1-11-1-11-1-111-11-1-11-1-111-111-111-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-111-1-111-1-1-1-111i−ii−i11ii−i−iii−i−i1-11-1−ii
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000000000000000000000002-2-2200
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-20000000000000000000000000000000000000000-222-200
χ19222222-12222-1-1-1222-122-1-12-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222000000-1-1-1-12200000000-1-1-1-1000000
χ20222222-12222-1-1-1222-122-1-12-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000001111-2-2000000001111000000
χ21222222-12222-1-1-1222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-211112222000000-1-1-1-1-2-2000000001111000000
χ22222222-12222-1-1-1222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-21111-2-2-2-200000011112200000000-1-1-1-1000000
χ2322222-122222222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1-100000022-1-1-1-1-1-10000000000
χ2422222-122222222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-211000000-2-21111110000000000
χ2522222-122222222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-12-2-2-1-1-2-2-2-2-1-111111111111100002222-1-1000000-2-2-1-111110000000000
χ2622222-122222222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111110000-2-2-2-2110000002211-1-1-1-10000000000
χ27222-2-222-2-2222-2-222222-22-2-22-2-2-2-22-2-22-2-2222002-20000-22000000000000000000000000000000000000000022-2-200
χ28222-2-222-2-2222-2-222222-22-2-22-2-2-2-22-2-22-2-2222002-20000-220000000000000000000000000000000000000000-2-22200
χ29222-2-22-122-2-2-1112-2-2-12-2-11-2-111-1-1122-2-1-11112i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii22-2-2000000-1-1112i−2i00000000−i−iii000000
χ30222-2-22-122-2-2-1112-2-2-12-2-11-2-111-1-1122-2-1-11112i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii-2-22200000011-1-1−2i2i00000000ii−i−i000000
χ31222-2-22-122-2-2-1112-2-2-12-2-11-2-111-1-1122-2-1-1111−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i22-2-2000000-1-111−2i2i00000000ii−i−i000000
χ32222-2-22-122-2-2-1112-2-2-12-2-11-2-111-1-1122-2-1-1111−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i-2-22200000011-1-12i−2i00000000−i−iii000000
χ33222-2-2-1222-2-22-2-2-111-1-112-21-11122-2-1-11-1-111-22i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii000022-2-2-1-10000002i−2i11−i−iii0000000000
χ34222-2-2-1222-2-22-2-2-111-1-112-21-11122-2-1-11-1-111-22i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii0000-2-22211000000−2i2i-1-1ii−i−i0000000000
χ35222-2-2-1222-2-22-2-2-111-1-112-21-11122-2-1-11-1-111-2−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i000022-2-2-1-1000000−2i2i11ii−i−i0000000000
χ36222-2-2-1222-2-22-2-2-111-1-112-21-11122-2-1-11-1-111-2−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i0000-2-222110000002i−2i-1-1−i−iii0000000000
χ3722-22-2222-22-22222222-2-2-2-222222-222-2-22222-200-2-20000-2-200000000000000002-22-22-2000000002-200000000000000
χ3822-22-2222-22-22222222-2-2-2-222222-222-2-22222-200-2-20000-2-20000000000000000-22-22-2200000000-2200000000000000
χ3922-22-222-22-222222-2-22-2-2-2-22222-22-2-222-2-2-2-2200-2-20000220000000000002-22-20000002-22-200000000000000000000
χ4022-22-222-22-222222-2-22-2-2-2-22222-22-2-222-2-2-2-2200-2-2000022000000000000-22-22000000-22-2200000000000000000000
χ4122-22-22-1-22-22-1-1-12-2-2-1-2-2112-1-1-11-11-2221111-10011−i3i3−i3i3-1-100−i3−i3i3i300−i3−i3i3i32-22-2000000-11-110000000000−i3i3−i3i3000000
χ4222-22-22-1-22-22-1-1-12-2-2-1-2-2112-1-1-11-11-2221111-10011−i3i3−i3i3-1-100−i3−i3i3i300−i3−i3i3i3-22-220000001-11-10000000000i3−i3i3−i3000000
χ4322-22-22-1-22-22-1-1-12-2-2-1-2-2112-1-1-11-11-2221111-10011i3−i3i3−i3-1-100i3i3−i3−i300i3i3−i3−i32-22-2000000-11-110000000000i3−i3i3−i3000000
χ4422-22-22-1-22-22-1-1-12-2-2-1-2-2112-1-1-11-11-2221111-10011i3−i3i3−i3-1-100i3i3−i3−i300i3i3−i3−i3-22-220000001-11-10000000000−i3i3−i3i3000000
χ4522-22-2-122-22-2222-1-1-1-111-2-2-1-1-1-12-22-111-1-1-1-1-20011000011−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300002-22-2-1100000000-11−i3i3−i3i30000000000
χ4622-22-2-122-22-2222-1-1-1-111-2-2-1-1-1-12-22-111-1-1-1-1-20011000011−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000-22-221-1000000001-1i3−i3i3−i30000000000
χ4722-22-2-122-22-2222-1-1-1-111-2-2-1-1-1-12-22-111-1-1-1-1-20011000011i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002-22-2-1100000000-11i3−i3i3−i30000000000
χ4822-22-2-122-22-2222-1-1-1-111-2-2-1-1-1-12-22-111-1-1-1-1-20011000011i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000-22-221-1000000001-1−i3i3−i3i30000000000
χ4922-2-22222-2-222-2-22-2-22-22-22-22-2-22-2-22-2222-2-2200-220000-2200000000000000002-2-222-200000000-2200000000000000
χ5022-2-22222-2-222-2-22-2-22-22-22-22-2-22-2-22-2222-2-2200-220000-220000000000000000-222-2-22000000002-200000000000000
χ5122-2-2222-222-22-2-22222-22-22-22-2-2-222-22-2-2-222-200-2200002-20000000000002-2-220000002-2-2200000000000000000000
χ5222-2-2222-222-22-2-22222-22-22-22-2-2-222-22-2-2-222-200-2200002-2000000000000-222-2000000-222-200000000000000000000
χ5322-2-222-1-222-2-111222-1-221-1-2-1111-1-1-22-211-1-11001-13−3−33-110033−3−300−3−3332-2-22000000-111-100000000003−3−33000000
χ5422-2-222-1-222-2-111222-1-221-1-2-1111-1-1-22-211-1-11001-13−3−33-110033−3−300−3−333-222-20000001-1-110000000000−333−3000000
χ5522-2-222-1-222-2-111222-1-221-1-2-1111-1-1-22-211-1-11001-1−333−3-1100−3−3330033−3−32-2-22000000-111-10000000000−333−3000000
χ5622-2-222-1-222-2-111222-1-221-1-2-1111-1-1-22-211-1-11001-1−333−3-1100−3−3330033−3−3-222-20000001-1-1100000000003−3−33000000
χ5722-2-22-122-2-222-2-2-111-11-1-221-1112-2-2-11-1-1-1112001-100001-13−33−33−3−33−33−3300002-2-22-11000000001-13−3−330000000000
χ5822-2-22-122-2-222-2-2-111-11-1-221-1112-2-2-11-1-1-1112001-100001-13−33−33−3−33−33−330000-222-21-100000000-11−333−30000000000
χ5922-2-22-122-2-222-2-2-111-11-1-221-1112-2-2-11-1-1-1112001-100001-1−33−33−333−33−33−300002-2-22-11000000001-1−333−30000000000
χ6022-2-22-122-2-222-2-2-111-11-1-221-1112-2-2-11-1-1-1112001-100001-1−33−33−333−33−33−30000-222-21-100000000-113−3−330000000000
χ61444444-2-4-4-4-4-2-2-24-4-4-244-2-24-2-2-2222-4-4-42222200-2-20000220000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-4444-222-2-2-244-2-2-2-2-4-4-42222222-400-2-20000220000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-1200110000-1-1003-3-33003-3-330000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-1200110000-1-100-333-300-333-30000000000000000000000000000000000
χ67444-4-44-2-4-444-222444-24-4-22-4-22222-2-4-4422-2-2-200-2200002-20000000000000000000000000000000000000000000000
χ68444-4-4-24-4-4444-4-4-2-2-2-2-224-42-222-4-4422-222-2-2400-2200002-20000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-222-2221-22-2221-1-1-2-22-2-2211-1-124i−4i1-1−2i−2i2i2i1-1−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ70444-4-4-2-244-4-4-222-2221-22-2221-1-1-2-22-2-2211-1-12−4i4i1-12i2i−2i−2i1-12i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ71444-4-4-2-2-4-444-222-2-2-21-22-2221-1-122-222-2-1-111-2001-10000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ72444-4-4-2-2-4-444-222-2-2-21-22-2221-1-122-222-2-1-111-2001-10000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ7344-44-44-24-44-4-2-2-2444-2-4-4224-2-2-2-22-24-4-4-2-2-2-2200220000220000000000000000000000000000000000000000000000
χ7444-44-4-24-44-44444-222-222-4-4-2-2-2-2-44-42-2-22222400220000-2-20000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-2-2-212222-2111-22-2-2221111200-1-10000-1-1−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-2-2-212222-2111-22-2-2221111200-1-10000-1-12i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-22212222-21112-222-2-2-1-1-1-1-200-1-1−2i32i3−2i32i31100i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-2-2-22212222-21112-222-2-2-1-1-1-1-200-1-12i3−2i32i3−2i31100−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ7944-4-444-24-4-44-2224-4-4-2-442-2-4-222-2224-44-2-222-2002-200002-20000000000000000000000000000000000000000000000
χ8044-4-44-24-444-44-4-4-2-2-2-22-2-442-222-4442-2222-2-2-4002-20000-220000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-222-22212-22-221-1-1-222-22-211-1-1-200-110000-1123−23−33−33−23233−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-222-22212-22-221-1-1-222-22-211-1-1-200-110000-11−23233−33−323−23−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-222-2-2-212-22-221-1-12-2-22-22-1-111200-1123−23−23231-100−3−3330033−3−30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-222-2-2-212-22-221-1-12-2-22-22-1-111200-11−232323−231-10033−3−300−3−3330000000000000000000000000000000000
χ858-8000880000-800-800800000-8000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-400004−4i34i3-800-4000004−4i34i30000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-4000044i3−4i3-800-40000044i3−4i30000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000-800443−43-4000004000000000043−43000000000000000000000000000000000000000000000000000000000
χ898-8000-480000-8004−4343-40000040000000000−4343000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3443−43200000-22i3−2i30000006i−6i−2323000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34−4343200000-22i3−2i3000000−6i6i23−23000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3443−43200000-2−2i32i3000000−6i6i−2323000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34−4343200000-2−2i32i30000006i−6i23−23000000000000000000000000000000000000000000000000000000000

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