Finite Group Databasebeta

← Group #11788762

Character table — Group #11788762

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446612121212366666666612121212121212121212446612121212121212121212121212121212121288888888444412121212121212122424242424242424224422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ9111-1-11111-1-11111111-1-111111-1-111-1-11111-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-11-1
χ10111-1-11111-1-11111111-1-111111-1-111-1-11111-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-11
χ11111-1-11111-1-11111111-1-111111-1-111-1-11111-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-11
χ12111-1-11111-1-11111111-1-111111-1-111-1-11111-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-11-1
χ13111-1-11111-1-11111111-1-111111-1-111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−ii−i−iii−i−iiiii−i−iii−i−i11-1-1-11
χ14111-1-11111-1-11111111-1-111111-1-111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−iii−i−i−iiiii−i−iii−i−i−i−iii-1-1111-1
χ15111-1-11111-1-11111111-1-111111-1-111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−ii−i−iiii−i−i−i−iii−i−iiiii−i−i-1-1111-1
χ16111-1-11111-1-11111111-1-111111-1-111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−ii−iii−i−iii−i−i−i−iii−i−iii11-1-1-11
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-2000000000000000000000000000000000000000000002-22-200
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000000000000000000000000000000000-22-2200
χ19222222-122222-122-1-1-12-12-1-1-1-12-12-12-1-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ20222222-122222-122-1-1-12-12-1-1-1-12-12-12-1-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ21222222-122222-122-1-1-12-12-1-1-1-12-12-12-1-1-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000222200-2-2000011110000-1-1-1-1000000
χ22222222-122222-122-1-1-12-12-1-1-1-12-12-12-1-1-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000-2-2-2-200220000-1-1-1-100001111000000
χ2322222-122222-12-1-122-1-12-12-1-1-1-12-12-12-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ2422222-122222-12-1-122-1-12-12-1-1-1-12-12-12-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ2522222-122222-12-1-122-1-12-12-1-1-1-12-12-12-1-1-1-1-12-2-2-1-1-1-111-2-2111111-2-2111122220000-2-20011110000-1-1-1-10000000000
χ2622222-122222-12-1-122-1-12-12-1-1-1-12-12-12-1-1-1-1-12-2-2-1-1-1-111-2-2111111-2-21111-2-2-2-200002200-1-1-1-1000011110000000000
χ27222-2-222-2-22222-2-2-2-22-2-222222-2-2-2-222-2-2-2-22200-2-222000000000000000000000000000000000000000000002-2-2200
χ28222-2-222-2-22222-2-2-2-22-2-222222-2-2-2-222-2-2-2-22200-2-22200000000000000000000000000000000000000000000-222-200
χ29222-2-22-122-2-22-122-1-1-1-212-1-1-1-1-212-1-21-1-1-1-1-212-2111122-1-1-1-1-1-1-2-211111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii000000
χ30222-2-22-122-2-22-122-1-1-1-212-1-1-1-1-212-1-21-1-1-1-1-212-2111122-1-1-1-1-1-1-2-21111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ31222-2-22-122-2-22-122-1-1-1-212-1-1-1-1-212-1-21-1-1-1-1-21-221111-2-211111122-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000ii−i−i0000−i−iii000000
χ32222-2-22-122-2-22-122-1-1-1-212-1-1-1-1-212-1-21-1-1-1-1-21-221111-2-211111122-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000−i−iii0000ii−i−i000000
χ33222-2-2-1222-2-2-12-1-122-11-2-12-1-1-11-2-121-2-1-1-1-11-22-21111-1-122-1-1-1-111-2-211112i2i−2i−2i00002i−2i00−i−iii0000−i−iii0000000000
χ34222-2-2-1222-2-2-12-1-122-11-2-12-1-1-11-2-121-2-1-1-1-11-22-21111-1-122-1-1-1-111-2-21111−2i−2i2i2i0000−2i2i00ii−i−i0000ii−i−i0000000000
χ35222-2-2-1222-2-2-12-1-122-11-2-12-1-1-11-2-121-2-1-1-1-11-2-22111111-2-21111-1-122-1-1-1-12i2i−2i−2i0000−2i2i00ii−i−i0000−i−iii0000000000
χ36222-2-2-1222-2-2-12-1-122-11-2-12-1-1-11-2-121-2-1-1-1-11-2-22111111-2-21111-1-122-1-1-1-1−2i−2i2i2i00002i−2i00−i−iii0000ii−i−i0000000000
χ3722-22-2222-22-22222-2-22-22-2-22-2-22-2-222222-2-2-2-2002-22-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ3822-22-2222-22-22222-2-22-22-2-22-2-22-2-222222-2-2-2-2002-22-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ3922-22-222-22-2222-2-2222-22-2-22-2-22-22-2-2-2-2-22222002-2-22000000000000000000002-22-200000000000000002-22-2000000
χ4022-22-222-22-2222-2-2222-22-2-22-2-22-22-2-2-2-2-22222002-2-2200000000000000000000-22-220000000000000000-22-22000000
χ4122-22-22-1-22-222-1-2-2-1-1-1-2-1-21-1112121-2111-1-12-100-111-1003−333−3−3003−333−3−300002-22-2000000003−33−30000-11-11000000
χ4222-22-22-1-22-222-1-2-2-1-1-1-2-1-21-1112121-2111-1-12-100-111-1003−333−3−3003−333−3−30000-22-2200000000−33−3300001-11-1000000
χ4322-22-22-1-22-222-1-2-2-1-1-1-2-1-21-1112121-2111-1-12-100-111-100−33−3−33300−33−3−33300002-22-200000000−33−330000-11-11000000
χ4422-22-22-1-22-222-1-2-2-1-1-1-2-1-21-1112121-2111-1-12-100-111-100−33−3−33300−33−3−3330000-22-22000000003−33−300001-11-1000000
χ4522-22-2-122-22-2-12-1-1-2-2-1121-2-111-1-212-12-1-1111-200-11-113−3003−33−33−3003−33−32i−2i2i−2i00000000−i3i3−i3i30000−ii−ii0000000000
χ4622-22-2-122-22-2-12-1-1-2-2-1121-2-111-1-212-12-1-1111-200-11-113−3003−33−33−3003−33−3−2i2i−2i2i00000000i3−i3i3−i30000i−ii−i0000000000
χ4722-22-2-122-22-2-12-1-1-2-2-1121-2-111-1-212-12-1-1111-200-11-11−3300−33−33−3300−33−332i−2i2i−2i00000000i3−i3i3−i30000−ii−ii0000000000
χ4822-22-2-122-22-2-12-1-1-2-2-1121-2-111-1-212-12-1-1111-200-11-11−3300−33−33−3300−33−33−2i2i−2i2i00000000−i3i3−i3i30000i−ii−i0000000000
χ4922-2-22222-2-222222-2-222-2-2-22-2-2-22-22-2-222-2-22200-22-2200000000000000002-2-2200000000000000002-2-220000000000
χ5022-2-22222-2-222222-2-222-2-2-22-2-2-22-22-2-222-2-22200-22-220000000000000000-222-20000000000000000-222-20000000000
χ5122-2-2222-222-222-2-22222-2-2-22-2-2-222-222-2-222-2-200-222-2000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000
χ5222-2-2222-222-222-2-22222-2-2-22-2-2-222-222-2-222-2-200-222-200000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000
χ5322-2-222-1-222-22-1-2-2-1-1-121-21-111-2-1212-111-1-1-21001-1-11003−333−3−300−33−3−33300002i−2i−2i2i00000000i3−i3−i3i30000−iii−i000000
χ5422-2-222-1-222-22-1-2-2-1-1-121-21-111-2-1212-111-1-1-21001-1-11003−333−3−300−33−3−3330000−2i2i2i−2i00000000−i3i3i3−i30000i−i−ii000000
χ5522-2-222-1-222-22-1-2-2-1-1-121-21-111-2-1212-111-1-1-21001-1-1100−33−3−333003−333−3−300002i−2i−2i2i00000000−i3i3i3−i30000−iii−i000000
χ5622-2-222-1-222-22-1-2-2-1-1-121-21-111-2-1212-111-1-1-21001-1-1100−33−3−333003−333−3−30000−2i2i2i−2i00000000i3−i3−i3i30000i−i−ii000000
χ5722-2-22-122-2-22-12-1-1-2-2-1-1-21-2-11112121-2-1-111-12001-11-13−3003−33−3−3300−33−332-2-2200000000−333−30000-111-10000000000
χ5822-2-22-122-2-22-12-1-1-2-2-1-1-21-2-11112121-2-1-111-12001-11-13−3003−33−3−3300−33−33-222-2000000003−3−3300001-1-110000000000
χ5922-2-22-122-2-22-12-1-1-2-2-1-1-21-2-11112121-2-1-111-12001-11-1−3300−33−333−3003−33−32-2-22000000003−3−330000-111-10000000000
χ6022-2-22-122-2-22-12-1-1-2-2-1-1-21-2-11112121-2-1-111-12001-11-1−3300−33−333−3003−33−3-222-200000000−333−300001-1-110000000000
χ61444444-2-4-4-4-44-2-4-422-24-24-2-2-2-24-2-42-422222-4200-2-22200000000000000000000000000000000000000000000000000
χ6244444-24-4-4-4-4-2422-4-4-2-24-24-2-2-2-242-42-422222-400-2-22200000000000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-2441111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-2-4-411112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-22222-1-1-1-1220011-1-100003-3-3300003-3-330000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-22222-1-1-1-1220011-1-10000-333-30000-333-30000000000000000000000000000000000
χ67444-4-44-2-4-4444-2-4-422-2-424-2-2-2-2-42-424-222224-20022-2-200000000000000000000000000000000000000000000000000
χ68444-4-4-24-4-444-2422-4-4-22-4-24-2-2-22-42-4-242222-240022-2-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-2-2-2-2-2122-2-211122-2-2221111224-4-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-2-2-2-2-2122-2-211122-2-222111122-44-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-22222122-2-21112222-2-2-1-1-1-1-2-200-1-11100003-3-330000-333-30000000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-22222122-2-21112222-2-2-1-1-1-1-2-200-1-1110000-333-300003-3-330000000000000000000000000000000000
χ7344-44-44-24-44-44-24422-2-4-2-42-22242-4-24-2-2-222-4200-22-2200000000000000000000000000000000000000000000000000
χ7444-44-4-24-44-44-242244-2242-4-222-2-4-2-42-422-2-2-2400-222-200000000000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-22212-2221-1-1-222-2-2-211-1-122001-11-123−2300−33−3323−2300−33−330000000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-22212-2221-1-1-222-2-2-211-1-122001-11-1−2323003−33−3−2323003−33−30000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-222-2-212-2221-1-1-22-2222-1-111-2-2001-1-110023−23−3−3330023−23−3−3330000000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-222-2-212-2221-1-1-22-2222-1-111-2-2001-1-1100−232333−3−300−232333−3−30000000000000000000000000000000000
χ7944-4-444-24-4-444-24422-242-42-222-4-2-4-2-42-2-2224-2002-22-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-242244-2-2-42-4-22224-2-4-2422-2-22-4002-2-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-2221-22221-1-12-22-22211-1-1-2-200-11-1123−2300−33−33−2323003−33−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-2221-22221-1-12-22-22211-1-1-2-200-11-11−2323003−33−323−2300−33−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-21-22221-1-12-2-22-2-2-1-1112200-111-10023−23−3−33300−232333−3−30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-21-22221-1-12-2-22-2-2-1-1112200-111-100−232333−3−30023−23−3−3330000000000000000000000000000000000
χ858-8000880000-8-8000080000-80000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-400004000000000043−430000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-4000040000000000−43430000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-4000040000000043−43000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-40000400000000−4343000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−4320000-26-6000000−2323−23230000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−434320000-2-66000000−232323−230000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−4320000-2-6600000023−23−23230000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−434320000-26-600000023−2323−230000000000000000000000000000000000000000000000000000000000

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