Finite Group Databasebeta

← Group #11788752

Character table — Group #11788752

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212446612121212121212121212121212121212121222448888224466666612121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1
χ911-1-111111-1-11-1-11-1-1111-1-11-1-1-111-111-111-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-1ii−i−i1-1i−i1111-1-1-1-1ii−i−iii−i−iii−i−i1-1
χ1011-1-111111-1-11-1-11-1-1111-1-11-1-1-111-111-111-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-1−i−iii-11i−i11-1-111-1-1ii−i−i−i−iii−i−iii-11
χ1111-1-111111-1-11-1-11-1-1111-1-11-1-1-111-111-111-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-111ii−i−i1-1−ii-1-111-1-111−i−iiiii−i−i−i−iii-11
χ1211-1-111111-1-11-1-11-1-1111-1-11-1-1-111-111-111-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-111−i−iii-11−ii-1-1-1-11111−i−iii−i−iiiii−i−i1-1
χ1311-1-111111-1-11-1-11-1-1111-1-11-1-1-111-111-111-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-1ii−i−i-11−ii11-1-111-1-1−i−iiiii−i−iii−i−i-11
χ1411-1-111111-1-11-1-11-1-1111-1-11-1-1-111-111-111-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-1−i−iii1-1−ii1111-1-1-1-1−i−iii−i−iii−i−iii1-1
χ1511-1-111111-1-11-1-11-1-1111-1-11-1-1-111-111-111-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-111ii−i−i-11i−i-1-1-1-11111ii−i−iii−i−i−i−iii1-1
χ1611-1-111111-1-11-1-11-1-1111-1-11-1-1-111-111-111-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-111−i−iii1-1i−i-1-111-1-111ii−i−i−i−iiiii−i−i-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-20000000000002-22-2000000002-200002-200000000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-2000000000000-22-2200000000-220000-2200000000000000
χ19222222-12222-1-1-1222-12-1-12-1-1-12-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100002222220000-1-1-1-1000000-1-1-1-1000000
χ20222222-12222-1-1-1222-12-1-12-1-1-12-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-2-2-2000011110000001111000000
χ21222222-12222-1-1-1222-12-1-12-1-1-12-1-1-1222-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-2111100002222-2-200001111000000-1-1-1-1000000
χ22222222-12222-1-1-1222-12-1-12-1-1-12-1-1-1222-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-211110000-2-2-2-2220000-1-1-1-10000001111000000
χ2322222-122222222-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000022-1-10000-1-1-1-1-1-10000000000
χ2422222-122222222-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-21100001111110000000000
χ2522222-122222222-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111112222000000-2-2-1-10000-1-111110000000000
χ2622222-122222222-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-12-2-2-1-1-2-2-2-2-1-1111111111111-2-2-2-20000002211000011-1-1-1-10000000000
χ2722222-12-2-2-2-2222-111-1-122-1-1-1-1-1-2-2-21111111-200-1-1000011−i3i3−i3−i3i3i3−i3i3−i3−i3i3i32-22-200000000-110000-11−i3i3−i3i30000000000
χ2822222-12-2-2-2-2222-111-1-122-1-1-1-1-1-2-2-21111111-200-1-1000011−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-22-22000000001-100001-1i3−i3i3−i30000000000
χ2922222-12-2-2-2-2222-111-1-122-1-1-1-1-1-2-2-21111111-200-1-1000011i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32-22-200000000-110000-11i3−i3i3−i30000000000
χ3022222-12-2-2-2-2222-111-1-122-1-1-1-1-1-2-2-21111111-200-1-1000011i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-22-22000000001-100001-1−i3i3−i3i30000000000
χ31222-2-2222-22-22222222-2-2-22222-22-222-2-22222-200-2-20000-2-200000000000000000000000000000000000000002i−2i2i−2i00
χ32222-2-2222-22-22222222-2-2-22222-22-222-2-22222-200-2-20000-2-20000000000000000000000000000000000000000−2i2i−2i2i00
χ33222-2-222-22-222222-2-22-2-2-22222-2-22-2-222-2-2-2-2200-2-200002200000000000000002-22-200000000000000002-22-2000000
χ34222-2-222-22-222222-2-22-2-2-22222-2-22-2-222-2-2-2-2200-2-20000220000000000000000-22-220000000000000000-22-22000000
χ35222-2-22-1-22-22-1-1-12-2-2-1-2112-1-1-1-21-11-2221111-10011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i300002-22-2000000−i3i3−i3i3000000-11-11000000
χ36222-2-22-1-22-22-1-1-12-2-2-1-2112-1-1-1-21-11-2221111-10011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i30000-22-22000000i3−i3i3−i30000001-11-1000000
χ37222-2-22-1-22-22-1-1-12-2-2-1-2112-1-1-1-21-11-2221111-10011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i300002-22-2000000i3−i3i3−i3000000-11-11000000
χ38222-2-22-1-22-22-1-1-12-2-2-1-2112-1-1-1-21-11-2221111-10011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i30000-22-22000000−i3i3−i3i30000001-11-1000000
χ3922-22-2222-2-222-2-22-2-22-2-22-22-2-222-2-22-2222-2-2200-220000-2200000000000000000000000000000000000000002-2-2200
χ4022-22-2222-2-222-2-22-2-22-2-22-22-2-222-2-22-2222-2-2200-220000-220000000000000000000000000000000000000000-222-200
χ4122-22-222-222-22-2-22222-2-22-22-2-22-222-22-2-2-222-200-2200002-200000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000
χ4222-22-222-222-22-2-22222-2-22-22-2-22-222-22-2-2-222-200-2200002-20000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000
χ4322-22-22-1-222-2-111222-1-21-1-2-11121-1-1-22-211-1-11001-13−3−33-11003−33−300−33−3300002i−2i−2i2i000000−i3i3i3−i3000000−iii−i000000
χ4422-22-22-1-222-2-111222-1-21-1-2-11121-1-1-22-211-1-11001-13−3−33-11003−33−300−33−330000−2i2i2i−2i000000i3−i3−i3i3000000i−i−ii000000
χ4522-22-22-1-222-2-111222-1-21-1-2-11121-1-1-22-211-1-11001-1−333−3-1100−33−33003−33−300002i−2i−2i2i000000i3−i3−i3i3000000−iii−i000000
χ4622-22-22-1-222-2-111222-1-21-1-2-11121-1-1-22-211-1-11001-1−333−3-1100−33−33003−33−30000−2i2i2i−2i000000−i3i3i3−i3000000i−i−ii000000
χ4722-2-2222-2-2222-2-2222222-2-22-2-2-2-2-22-2-22-2-2222002-20000-220000000000002-2-22000000002-20000-2200000000000000
χ4822-2-2222-2-2222-2-2222222-2-22-2-2-2-2-22-2-22-2-2222002-20000-22000000000000-222-200000000-2200002-200000000000000
χ4922-2-222-122-2-2-1112-2-2-12-11-2-111-2-1-1122-2-1-11112i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii00002i2i−2i−2i2-20000-1-111000000−i−iii000000
χ5022-2-222-122-2-2-1112-2-2-12-11-2-111-2-1-1122-2-1-11112i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii0000−2i−2i2i2i-22000011-1-1000000ii−i−i000000
χ5122-2-222-122-2-2-1112-2-2-12-11-2-111-2-1-1122-2-1-1111−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i00002i2i−2i−2i-22000011-1-1000000−i−iii000000
χ5222-2-222-122-2-2-1112-2-2-12-11-2-111-2-1-1122-2-1-1111−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i0000−2i−2i2i2i2-20000-1-111000000ii−i−i000000
χ5322-2-22-1222-2-22-2-2-111-1-12-21-111122-2-1-11-1-111-22i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii22-2-20000002i−2i-1-1000011−i−iii0000000000
χ5422-2-22-1222-2-22-2-2-111-1-12-21-111122-2-1-11-1-111-22i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii-2-222000000−2i2i110000-1-1ii−i−i0000000000
χ5522-2-22-1222-2-22-2-2-111-1-12-21-111122-2-1-11-1-111-2−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i22-2-2000000−2i2i-1-1000011ii−i−i0000000000
χ5622-2-22-1222-2-22-2-2-111-1-12-21-111122-2-1-11-1-111-2−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i-2-2220000002i−2i110000-1-1−i−iii0000000000
χ5722-2-22-12-2-2222-2-2-1-1-1-1-12-21-1111-2-2211-111-1-1200-1100001-13−333−3−3−33−3−3332-2-2200000000-1100001-13−3−330000000000
χ5822-2-22-12-2-2222-2-2-1-1-1-1-12-21-1111-2-2211-111-1-1200-1100001-13−333−3−3−33−3−333-222-2000000001-10000-11−333−30000000000
χ5922-2-22-12-2-2222-2-2-1-1-1-1-12-21-1111-2-2211-111-1-1200-1100001-1−33−3−3333−333−3−32-2-2200000000-1100001-1−333−30000000000
χ6022-2-22-12-2-2222-2-2-1-1-1-1-12-21-1111-2-2211-111-1-1200-1100001-1−33−3−3333−333−3−3-222-2000000001-10000-113−3−330000000000
χ61444444-2-4-4-4-4-2-2-24-4-4-24-2-24-2-2-24222-4-4-42222200-2-20000220000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-1-1-1200110000-1-1−2i32i3i3i3−i3−i3−2i32i3i3i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-1-1-1200110000-1-12i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i30000000000000000000000000000000000
χ66444-4-44-24-44-4-2-2-2444-2-4224-2-2-2-4-22-24-4-4-2-2-2-2200220000220000000000000000000000000000000000000000000000
χ67444-4-4-244-44-4444-2-2-2-22-4-4-2-2-2-224-44-222-2-2-2-2-400220000220000000000000000000000000000000000000000000000
χ68444-4-4-24-44-44444-222-22-4-4-2-2-2-22-44-42-2-22222400220000-2-20000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-21222-21112-22-2-2221111200-1-10000-1-1003-3-33003-3-330000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-21222-21112-22-2-2221111200-1-10000-1-100-333-300-333-30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-2-2-2221222-211122-222-2-2-1-1-1-1-200-1-1−2i32i3−2i32i31100i3−i3i3−i300i3−i3i3−i30000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-2-2-2221222-211122-222-2-2-1-1-1-1-200-1-12i3−2i32i3−2i31100−i3i3−i3i300−i3i3−i3i30000000000000000000000000000000000
χ7344-44-44-24-4-44-2224-4-4-2-42-2-4-2224-2224-44-2-222-2002-200002-20000000000000000000000000000000000000000000000
χ7444-44-4-244-4-444-4-4-222-22-442-222-24-4-4-22-2-2-2224002-200002-20000000000000000000000000000000000000000000000
χ7544-44-4-24-444-44-4-4-2-2-2-22-442-222-2-4442-2222-2-2-4002-20000-220000000000000000000000000000000000000000000000
χ7644-44-4-2-24-4-44-222-222122-221-1-1-2-222-22-211-1-1-200-110000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ7744-44-4-2-24-4-44-222-222122-221-1-1-2-222-22-211-1-1-200-110000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ7844-44-4-2-2-444-4-222-2-2-2122-221-1-1-22-2-22-22-1-111200-1123−23−23231-100−33−33003−33−30000000000000000000000000000000000
χ7944-44-4-2-2-444-4-222-2-2-2122-221-1-1-22-2-22-22-1-111200-11−232323−231-1003−33−300−33−330000000000000000000000000000000000
χ8044-4-444-2-4-444-222444-24-22-4-222-422-2-4-4422-2-2-200-2200002-20000000000000000000000000000000000000000000000
χ8144-4-44-2-244-4-4-222-2221-2-2221-1-12-2-22-2-2211-1-124i−4i1-1−2i−2i2i2i1-1−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ8244-4-44-2-244-4-4-222-2221-2-2221-1-12-2-22-2-2211-1-12−4i4i1-12i2i−2i−2i1-12i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ8344-4-44-2-2-4-444-222-2-2-21-2-2221-1-1222-222-2-1-111-2001-10000-1123−23−3−333−232333−3−30000000000000000000000000000000000
χ8444-4-44-2-2-4-444-222-2-2-21-2-2221-1-1222-222-2-1-111-2001-10000-11−232333−3−323−23−3−3330000000000000000000000000000000000
χ858-8000880000-800-80080000-80000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-400004−4i34i3-800-400004−4i34i300000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-4000044i3−4i3-800-4000044i3−4i300000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000-800443−43-4000040000000000043−43000000000000000000000000000000000000000000000000000000000
χ898-8000-480000-8004−4343-40000400000000000−4343000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3443−4320000-22i3−2i300000006i−6i−2323000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34−434320000-22i3−2i30000000−6i6i23−23000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3443−4320000-2−2i32i30000000−6i6i−2323000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34−434320000-2−2i32i300000006i−6i23−23000000000000000000000000000000000000000000000000000000000

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