Finite Group Databasebeta

← Group #11788721

Character table — Group #11788721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order12222334444666612123666666668888121212121212121212121266121224242424242424242424242424242424444444441212121212121212121212121212121222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-11111-1-11-1-111111-1-1-1-111-1ii−i−i1-111-111-1-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-1i−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i
χ10111-1-11111-1-11-1-111111-1-1-1-111-1ii−i−i1-111-111-1-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i-11−iiii−i−i11-1-1-1-111−i−iii-1-111−i−iii
χ11111-1-11111-1-11-1-111111-1-1-1-111-1ii−i−i1-111-111-1-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii1-1i−i−i−iii-1-11111-1-1ii−i−i-1-111−i−iii
χ12111-1-11111-1-11-1-111111-1-1-1-111-1ii−i−i1-111-111-1-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-11−ii−i−iii-1-111-1-111−i−iii11-1-1ii−i−i
χ13111-1-11111-1-11-1-111111-1-1-1-111-1−i−iii1-111-111-1-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-1−ii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii
χ14111-1-11111-1-11-1-111111-1-1-1-111-1−i−iii1-111-111-1-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii-11i−i−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i
χ15111-1-11111-1-11-1-111111-1-1-1-111-1−i−iii1-111-111-1-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i1-1−iiii−i−i-1-11111-1-1−i−iii-1-111ii−i−i
χ16111-1-11111-1-11-1-111111-1-1-1-111-1−i−iii1-111-111-1-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-11i−iii−i−i-1-111-1-111ii−i−i11-1-1−i−iii
χ172222222-2-2-2-22222-2-22222222220000-2-2-2-2-2-2-2-2-2-2-222-2-200000000000000000000000000000000000000002-22-20000
χ182222222-2-2-2-22222-2-22222222220000-2-2-2-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000000000-22-220000
χ19222222-122222-1-1-122-1-12-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ20222222-122222-1-1-122-1-12-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ21222222-122222-1-1-122-1-12-1-1-1-122-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-1-2-2111111-2-211111122-2-200001111-1-1-1-10000000000000000
χ22222222-122222-1-1-122-1-12-1-1-1-122-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2220000-1-1-1-111110000000000000000
χ2322222-122222-1222-1-1-12-12-1-1-1-1-12222-1-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2422222-122222-1222-1-1-12-12-1-1-1-1-12222-1-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000001111111100000000
χ2522222-122222-1222-1-1-12-12-1-1-1-1-1-2-2-2-2-1-1222-1-1-12-1-1-1-1-1-111-2-2111111-2-21111000022-2-200000000-1-1-1-1111100000000
χ2622222-122222-1222-1-1-12-12-1-1-1-1-1-2-2-2-2-1-1222-1-1-12-1-1-1-1-1-111-2-2111111-2-211110000-2-222000000001111-1-1-1-100000000
χ27222-2-222-2-2222-2-22-2-222-2-2-2-222-20000-22-2-22-2-222222-2-2200000000000000000000000000000000000000002-2-220000
χ28222-2-222-2-2222-2-22-2-222-2-2-2-222-20000-22-2-22-2-222222-2-220000000000000000000000000000000000000000-222-20000
χ29222-2-22-122-2-2211-122-1-1-2111-12-22i2i−2i−2i2-2-1-11-1-1-2111-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii2-22i−2i0000−i−iii-1-1110000000000000000
χ30222-2-22-122-2-2211-122-1-1-2111-12-22i2i−2i−2i2-2-1-11-1-1-2111-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii-22−2i2i0000ii−i−i11-1-10000000000000000
χ31222-2-22-122-2-2211-122-1-1-2111-12-2−2i−2i2i2i2-2-1-11-1-1-2111-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i2-2−2i2i0000ii−i−i-1-1110000000000000000
χ32222-2-22-122-2-2211-122-1-1-2111-12-2−2i−2i2i2i2-2-1-11-1-1-2111-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-222i−2i0000−i−iii11-1-10000000000000000
χ33222-2-2-1222-2-2-1-2-22-1-1-121-211-1-112i2i−2i−2i-1122-2-1-11-211-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii00002-22i−2i00000000-1-111−i−iii00000000
χ34222-2-2-1222-2-2-1-2-22-1-1-121-211-1-112i2i−2i−2i-1122-2-1-11-211-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii0000-22−2i2i0000000011-1-1ii−i−i00000000
χ35222-2-2-1222-2-2-1-2-22-1-1-121-211-1-11−2i−2i2i2i-1122-2-1-11-211-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i00002-2−2i2i00000000-1-111ii−i−i00000000
χ36222-2-2-1222-2-2-1-2-22-1-1-121-211-1-11−2i−2i2i2i-1122-2-1-11-211-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-222i−2i0000000011-1-1−i−iii00000000
χ3722-22-2222-22-22222-2-22-22-2222-2-20000222-22-2-2-2-2-2-2-2-222000000000000000000000000000000000000000000002i−2i2i−2i
χ3822-22-2222-22-22222-2-22-22-2222-2-20000222-22-2-2-2-2-2-2-2-22200000000000000000000000000000000000000000000−2i2i−2i2i
χ3922-22-222-22-222222222-22-2222-2-22-22-2-2-2-22-2222222-2-2-2-22-22-222-2-22-22-222-2-200000000000000000000000000000000
χ4022-22-222-22-222222222-22-2222-2-2-22-22-2-2-22-2222222-2-2-2-2-22-22-2-222-22-22-2-22200000000000000000000000000000000
χ4122-22-22-1-22-222-1-1-122-1121-1-1-1-2-22-22-2-2-21-11-1-12-1-1-111112-2-11-1-1112-2-11-1-11100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ4222-22-22-1-22-222-1-1-122-1121-1-1-1-2-22-22-2-2-21-11-1-12-1-1-111112-2-11-1-1112-2-11-1-11100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ4322-22-22-1-22-222-1-1-122-1121-1-1-1-2-2-22-22-2-21-11-1-12-1-1-11111-221-111-1-1-221-111-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ4422-22-22-1-22-222-1-1-122-1121-1-1-1-2-2-22-22-2-21-11-1-12-1-1-11111-221-111-1-1-221-111-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ4522-22-2-12-22-22-1222-1-1-1-2-1-2-1-1-1112-22-211-22-2-1-1-12-1-11111-112-2-1-111-112-2-1-11100000000000000003−33−33−33−300000000
χ4622-22-2-12-22-22-1222-1-1-1-2-1-2-1-1-1112-22-211-22-2-1-1-12-1-11111-112-2-1-111-112-2-1-1110000000000000000−33−33−33−3300000000
χ4722-22-2-12-22-22-1222-1-1-1-2-1-2-1-1-111-22-2211-22-2-1-1-12-1-111111-1-2211-1-11-1-2211-1-100000000000000003−33−3−33−3300000000
χ4822-22-2-12-22-22-1222-1-1-1-2-1-2-1-1-111-22-2211-22-2-1-1-12-1-111111-1-2211-1-11-1-2211-1-10000000000000000−33−333−33−300000000
χ4922-2-22222-2-222-2-22-2-22-2-22-2-22-2200002-22-2-2-2-22222-222-2000000000000000000000000000000000000000000002-2-22
χ5022-2-22222-2-222-2-22-2-22-2-22-2-22-2200002-22-2-2-2-22222-222-200000000000000000000000000000000000000000000-222-2
χ5122-2-2222-222-22-2-22222-2-22-2-22-222i−2i−2i2i-22-22222-2-2-2-2-22-222i−2i2i−2i2i2i−2i−2i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000
χ5222-2-2222-222-22-2-22222-2-22-2-22-22−2i2i2i−2i-22-22222-2-2-2-2-22-22−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000
χ5322-2-222-1-222-2211-122-11-2-111-1-222i−2i−2i2i-221-1-1-1-1-21111-11-12i−2i−ii−i−iii−2i2ii−iii−i−i000000003−3−33−i3i3i3−i30000000000000000
χ5422-2-222-1-222-2211-122-11-2-111-1-222i−2i−2i2i-221-1-1-1-1-21111-11-12i−2i−ii−i−iii−2i2ii−iii−i−i00000000−333−3i3−i3−i3i30000000000000000
χ5522-2-222-1-222-2211-122-11-2-111-1-22−2i2i2i−2i-221-1-1-1-1-21111-11-1−2i2ii−iii−i−i2i−2i−ii−i−iii000000003−3−33i3−i3−i3i30000000000000000
χ5622-2-222-1-222-2211-122-11-2-111-1-22−2i2i2i−2i-221-1-1-1-1-21111-11-1−2i2ii−iii−i−i2i−2i−ii−i−iii00000000−333−3−i3i3i3−i30000000000000000
χ5722-2-22-12-222-2-1-2-22-1-1-1-21211-11-12i−2i−2i2i1-1-222-1-11-2111-11-1−ii2i−2i−i−iiii−i−2i2iii−i−i00000000000000003−3−33i3−i3−i3i300000000
χ5822-2-22-12-222-2-1-2-22-1-1-1-21211-11-12i−2i−2i2i1-1-222-1-11-2111-11-1−ii2i−2i−i−iiii−i−2i2iii−i−i0000000000000000−333−3−i3i3i3−i300000000
χ5922-2-22-12-222-2-1-2-22-1-1-1-21211-11-1−2i2i2i−2i1-1-222-1-11-2111-11-1i−i−2i2iii−i−i−ii2i−2i−i−iii00000000000000003−3−33−i3i3i3−i300000000
χ6022-2-22-12-222-2-1-2-22-1-1-1-21211-11-1−2i2i2i−2i1-1-222-1-11-2111-11-1i−i−2i2iii−i−i−ii2i−2i−i−iii0000000000000000−333−3i3−i3−i3i300000000
χ61444444-2-4-4-4-44-2-2-2-4-4-2-24-2-2-2-2440000-4-422222-4222-2-222000000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-4-244422-24-24-2-2-2-2-2000022-4-4-4222-422-2-222000000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2111-2-24444-2-2-2-2-211-2-2111111-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-4-4-4-4-2-2-2-2-211-2-21111112222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-2000022222-1-122-1-111-1-100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-2000022222-1-122-1-111-1-10000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000000000
χ67444-4-44-2-4-444422-2-4-4-2-2-4222-24-40000-4422-2224-2-2-2-222-2000000000000000000000000000000000000000000000000
χ68444-4-4-24-4-444-2-4-4422-242-422-2-2200002-2-4-4422-24-2-2-222-2000000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-222-2-2-21-222-1-11-224i4i−4i−4i-22-2-221122-1-11-11-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000
χ70444-4-4-2-244-4-4-222-2-2-21-222-1-11-22−4i−4i4i4i-22-2-221122-1-11-11-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000
χ71444-4-4-2-2-4-444-222-2221-222-1-11-2200002-222-2-1-1-2-2111-1-1100003-33-30000-33-3300000000000000000000000000000000
χ72444-4-4-2-2-4-444-222-2221-222-1-11-2200002-222-2-1-1-2-2111-1-110000-33-3300003-33-300000000000000000000000000000000
χ7344-44-44-24-44-44-2-2-2-4-4-2242-2-2-2-4-4000044-22-222-422222-2-2000000000000000000000000000000000000000000000000
χ7444-44-4-244-44-4-244422-2-4-2-4-2-2-2220000-2-24-44222-42222-2-2000000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-22212-22111220000-2-2-22-2-1-122-1-1-1-11100003i−3i−3i3i00003i−3i−3i3i00000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-22212-22111220000-2-2-22-2-1-122-1-1-1-1110000−3i3i3i−3i0000−3i3i3i−3i00000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-2-2-212-22111224-44-4222-2211-2-211-1-1-1-1-22-2211-1-1-22-2211-1-100000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-2-2-2-2-212-2211122-44-44222-2211-2-211-1-1-1-12-22-2-1-1112-22-2-1-11100000000000000000000000000000000
χ7944-4-444-24-4-44422-2-4-4-22-4-222-2-4400004-4-222224-2-2-22-2-22000000000000000000000000000000000000000000000000
χ8044-4-44-244-4-44-2-4-4422-2-42422-22-20000-224-4-422-24-2-22-2-22000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-222-222122-2-1-112-20000-22-222-1-1-2-211-111-100003-3-330000-333-300000000000000000000000000000000
χ8244-4-44-2-24-4-44-222-222122-2-1-112-20000-22-222-1-1-2-211-111-10000-333-300003-3-3300000000000000000000000000000000
χ8344-4-44-2-2-444-4-222-2-2-2122-2-1-112-24i−4i−4i4i2-22-2-21122-1-1-11-11−2i2i−2i2iii−i−i2i−2i2i−2i−i−iii00000000000000000000000000000000
χ8444-4-44-2-2-444-4-222-2-2-2122-2-1-112-2−4i4i4i−4i2-22-2-21122-1-1-11-112i−2i2i−2i−i−iii−2i2i−2i2iii−i−i00000000000000000000000000000000
χ858-8000880000-800-800800000-8000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-8−4i34i3400-4000−4i34i34000000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-84i3−4i3400-40004i3−4i34000000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000400-843−43-40000040000000000043−4300000000000000000000000000000000000000000000000000000000
χ898-8000-480000400-8−4343-400000400000000000−434300000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3443−4320002i3−2i3-200000000000−2323006i−6i0000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34−434320002i3−2i3-20000000000023−2300−6i6i0000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3443−432000−2i32i3-200000000000−232300−6i6i0000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34−43432000−2i32i3-20000000000023−23006i−6i0000000000000000000000000000000000000000000000000000

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