Finite Group Databasebeta

← Group #11788919

Character table — Group #11788919

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order12222334444666612123666666668888121212121212121212121266121224242424242424242424242424242424444488881212121212121212242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111-1-1-1-11111-1-1111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-1ii−i−i
χ101111111-1-1-1-11111-1-1111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-11i−i−ii11-1-1-1-111−i−iiiii−i−i-11-11−i−iii
χ111111111-1-1-1-11111-1-1111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-111-1−iii−i-1-11111-1-1ii−i−i−i−iii-11-11−i−iii
χ121111111-1-1-1-11111-1-1111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-11-1ii−i−i
χ131111111-1-1-1-11111-1-1111111111−i−iii-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-1−i−iii
χ141111111-1-1-1-11111-1-1111111111−i−iii-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-11−iii−i11-1-1-1-111ii−i−i−i−iii-11-11ii−i−i
χ151111111-1-1-1-11111-1-1111111111−i−iii-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-111-1i−i−ii-1-11111-1-1−i−iiiii−i−i-11-11ii−i−i
χ161111111-1-1-1-11111-1-1111111111−i−iii-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-11-1−i−iii
χ17222222-1222222-12-1-1-122-1-1-1-1-1-12222-1-122-1-1-12-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1002200220000-1-1-1-1-1-1-1-1000000000000
χ18222222-1222222-12-1-1-122-1-1-1-1-1-12222-1-122-1-1-12-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-2000011111111000000000000
χ19222222-1222222-12-1-1-122-1-1-1-1-1-1-2-2-2-2-1-122-1-1-12-1-12-1-1-1-1-2-2111111-2-2111111002200-2-20000-1-1-1-11111000000000000
χ20222222-1222222-12-1-1-122-1-1-1-1-1-1-2-2-2-2-1-122-1-1-12-1-12-1-1-1-1-2-2111111-2-211111100-2-2002200001111-1-1-1-1000000000000
χ21222222-1-2-2-2-222-1211-122-1-1-1-1-1-12i2i−2i−2i11-2-2111-211-2-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii002-2002i−2i0000-1-111−i−iii000000000000
χ22222222-1-2-2-2-222-1211-122-1-1-1-1-1-12i2i−2i−2i11-2-2111-211-2-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00-2200−2i2i000011-1-1ii−i−i000000000000
χ23222222-1-2-2-2-222-1211-122-1-1-1-1-1-1−2i−2i2i2i11-2-2111-211-2-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i002-200−2i2i0000-1-111ii−i−i000000000000
χ24222222-1-2-2-2-222-1211-122-1-1-1-1-1-1−2i−2i2i2i11-2-2111-211-2-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00-22002i−2i000011-1-1−i−iii000000000000
χ2522222-122222-1-12-122-1-1-122-1-1-12222222-1-1-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122002200-1-1-1-100000000-1-1-1-100000000
χ2622222-122222-1-12-122-1-1-122-1-1-12222222-1-1-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200111100000000111100000000
χ2722222-122222-1-12-122-1-1-122-1-1-12-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-111-2-2111111-2-211112200-2-200-1-1-1-100000000111100000000
χ2822222-122222-1-12-122-1-1-122-1-1-12-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-111-2-2111111-2-21111-2-2002200111100000000-1-1-1-100000000
χ2922222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-122i2i−2i−2i-2-21111-21111-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii2-2002i−2i00-1-11100000000−i−iii00000000
χ3022222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-122i2i−2i−2i-2-21111-21111-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii-2200−2i2i0011-1-100000000ii−i−i00000000
χ3122222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12−2i−2i2i2i-2-21111-21111-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i2-200−2i2i00-1-11100000000ii−i−i00000000
χ3222222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12−2i−2i2i2i-2-21111-21111-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i-22002i−2i0011-1-100000000−i−iii00000000
χ33222-2-22222-2-22222-2-22-2-22-2222-20000222-2-2-2-2-2-2-22-2-222000000000000000000000000000000000000000000002i−2i2i−2i
χ34222-2-22222-2-22222-2-22-2-22-2222-20000222-2-2-2-2-2-2-22-2-22200000000000000000000000000000000000000000000−2i2i−2i2i
χ35222-2-222-2-2222222222-2-22-2222-20000-2-2-22222222-2-2-2-2-2000000000000000000000000000000000000000000002-2-22
χ36222-2-222-2-2222222222-2-22-2222-20000-2-2-22222222-2-2-2-2-200000000000000000000000000000000000000000000-222-2
χ3722-22-2222-22-2-2-2222222-2-22-2-22-22i−2i2i−2i2-22222-2-2-2-2-22-22-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000
χ3822-22-2222-22-2-2-2222222-2-22-2-22-2−2i2i−2i2i2-22222-2-2-2-2-22-22-2−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000
χ3922-22-222-22-22-2-222-2-222-2-22-2-22-22-2-22-22-2-2-2-2222222-2-222-22-222-2-2-22-22-2-22200000000000000000000000000000000
χ4022-22-222-22-22-2-222-2-222-2-22-2-22-2-222-2-22-2-2-2-2222222-2-22-22-22-2-2222-22-222-2-200000000000000000000000000000000
χ4122-22-22-12-22-2-2-2-12-1-1-12-21-111-112i−2i2i−2i-1122-1-11-211-2-11-112i−2i−ii−i−iii2i−2i−ii−i−iii0000000000003−33−3−i3i3−i3i3000000000000
χ4222-22-22-12-22-2-2-2-12-1-1-12-21-111-112i−2i2i−2i-1122-1-11-211-2-11-112i−2i−ii−i−iii2i−2i−ii−i−iii000000000000−33−33i3−i3i3−i3000000000000
χ4322-22-22-12-22-2-2-2-12-1-1-12-21-111-11−2i2i−2i2i-1122-1-11-211-2-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i0000000000003−33−3i3−i3i3−i3000000000000
χ4422-22-22-12-22-2-2-2-12-1-1-12-21-111-11−2i2i−2i2i-1122-1-11-211-2-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i000000000000−33−33−i3i3−i3i3000000000000
χ4522-22-22-1-22-22-2-2-1211-12-21-111-112-2-221-1-2-211-12-1-12-111-12-2-11-1-111-221-111-1-10000000000003−3−33−333−3000000000000
χ4622-22-22-1-22-22-2-2-1211-12-21-111-112-2-221-1-2-211-12-1-12-111-12-2-11-1-111-221-111-1-1000000000000−333−33−3−33000000000000
χ4722-22-22-1-22-22-2-2-1211-12-21-111-11-222-21-1-2-211-12-1-12-111-1-221-111-1-12-2-11-1-1110000000000003−3−333−3−33000000000000
χ4822-22-22-1-22-22-2-2-1211-12-21-111-11-222-21-1-2-211-12-1-12-111-1-221-111-1-12-2-11-1-111000000000000−333−3−333−3000000000000
χ4922-22-2-122-22-2112-122-1-11-2211-1-22i−2i2i−2i2-2-1-1-1-1-21111-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii00000000−i3i3−i3i3000000003−33−300000000
χ5022-22-2-122-22-2112-122-1-11-2211-1-22i−2i2i−2i2-2-1-1-1-1-21111-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii00000000i3−i3i3−i300000000−33−3300000000
χ5122-22-2-122-22-2112-122-1-11-2211-1-2−2i2i−2i2i2-2-1-1-1-1-21111-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i00000000−i3i3−i3i300000000−33−3300000000
χ5222-22-2-122-22-2112-122-1-11-2211-1-2−2i2i−2i2i2-2-1-1-1-1-21111-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i00000000i3−i3i3−i3000000003−33−300000000
χ5322-22-2-12-22-22112-1-2-2-1-11-2211-1-22-2-22-2211112-1-1-1-1-111-1-112-2-1-1111-1-2211-1-100000000−i3i3i3−i300000000−i3i3i3−i300000000
χ5422-22-2-12-22-22112-1-2-2-1-11-2211-1-22-2-22-2211112-1-1-1-1-111-1-112-2-1-1111-1-2211-1-100000000i3−i3−i3i300000000i3−i3−i3i300000000
χ5522-22-2-12-22-22112-1-2-2-1-11-2211-1-2-222-2-2211112-1-1-1-1-111-11-1-2211-1-1-112-2-1-11100000000−i3i3i3−i300000000i3−i3−i3i300000000
χ5622-22-2-12-22-22112-1-2-2-1-11-2211-1-2-222-2-2211112-1-1-1-1-111-11-1-2211-1-1-112-2-1-11100000000i3−i3−i3i300000000−i3i3i3−i300000000
χ5722-2-22222-2-22-2-222-2-22-22-2-2-2-22200002-22-2-2-22222-2-222-200000000000000000000000000000000000000002-2-220000
χ5822-2-22222-2-22-2-222-2-22-22-2-2-2-22200002-22-2-2-22222-2-222-20000000000000000000000000000000000000000-222-20000
χ5922-2-2222-222-2-2-222222-22-2-2-2-2220000-22-2222-2-2-2-22-22-22000000000000000000000000000000000000000022-2-20000
χ6022-2-2222-222-2-2-222222-22-2-2-2-2220000-22-2222-2-2-2-22-22-220000000000000000000000000000000000000000-2-2220000
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-2111-24444-2-2-2-211-2-211-21111-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-4-4-4-4-2-2-2-211-2-211-211112222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-24i4i−4i−4i2222-1-122-1-1211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2−4i−4i4i4i2222-1-122-1-1211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000
χ65444-4-44-244-4-444-2422-2-4-4-22-2-2-220000-2-24-4222-422422-2-2000000000000000000000000000000000000000000000000
χ66444-4-44-2-4-44444-24-2-2-2-4-4-22-2-2-22000022-44-2-2-24-2-2-42222000000000000000000000000000000000000000000000000
χ67444-4-4-2444-4-4-2-24-2-4-4-2224-4-2-2-2-4000044-2222-4222-222-2-2000000000000000000000000000000000000000000000000
χ68444-4-4-24-4-444-2-24-244-2224-4-2-2-2-40000-4-42-2-2-24-2-2-222222000000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-2-2-222122-2211120000-2-2-22-1-122-1-1-2-1-11100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-2-2-222122-2211120000-2-2-22-1-122-1-1-2-1-1110000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-2-2-2-2-2122-2211120000222-211-2-2112-1-1-1-100003-33-30000-33-3300000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-2-2-2-2-2122-2211120000222-211-2-2112-1-1-1-10000-33-3300003-33-300000000000000000000000000000000
χ7344-44-4-2-24-44-422-2-2-2-21-222-2-1-1124i−4i4i−4i-22-2-21122-1-121-11-1−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i00000000000000000000000000000000
χ7444-44-4-2-24-44-422-2-2-2-21-222-2-1-112−4i4i−4i4i-22-2-21122-1-121-11-12i−2i2i−2i−i−iii2i−2i2i−2i−i−iii00000000000000000000000000000000
χ7544-44-4-2-2-44-4422-2-2221-222-2-1-1124-4-442-222-1-1-2-211-21-1-11-22-2211-1-12-22-2-1-11100000000000000000000000000000000
χ7644-44-4-2-2-44-4422-2-2221-222-2-1-112-444-42-222-1-1-2-211-21-1-112-22-2-1-111-22-2211-1-100000000000000000000000000000000
χ7744-4-444-24-4-44-4-4-2422-2-442222-2-20000-224-422-24-2-2-42-2-22000000000000000000000000000000000000000000000000
χ7844-4-444-2-444-4-4-4-24-2-2-2-442222-2-200002-2-44-2-22-42242-22-2000000000000000000000000000000000000000000000000
χ7944-4-44-244-4-44224-2-4-4-22-2-4-422-2400004-4-22224-2-2-222-2-22000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4224-244-22-2-4-422-240000-442-2-2-2-4222-22-22-2000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-22212-222-1-11-20000-22-22-1-1-2-2112-111-100003-3-3300003-3-3300000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-22212-222-1-11-20000-22-22-1-1-2-2112-111-10000-333-30000-333-300000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-2-2-212-222-1-11-200002-22-21122-1-1-2-11-1100003i−3i−3i3i0000−3i3i3i−3i00000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-2-2-212-222-1-11-200002-22-21122-1-1-2-11-110000−3i3i3i−3i00003i−3i−3i3i00000000000000000000000000000000
χ858-800088000000-8-8008000000-800000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000004-843−43-4000000400000000043−43000000000000000000000000000000000000000000000000000000000
χ878-80008-40000004-8−4343-40000004000000000−4343000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3-8400-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3-8400-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−43200002i3−2i3-2000000000−2323006i−6i00000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−4343200002i3−2i3-200000000023−2300−6i6i00000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−4320000−2i32i3-2000000000−232300−6i6i00000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−434320000−2i32i3-200000000023−23006i−6i00000000000000000000000000000000000000000000000000000

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