Finite Group Databasebeta

← Group #11788927

Character table — Group #11788927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446612121212366666666612121212121212121212446612121212121212121212121212121212121288888888888824242424242424242424242424242424224444
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
χ91111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ101111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-11-11
χ111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-11-11
χ121111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ131111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−ii−i−iii−i−iiiii−i−iii−i−i1-11-1-11
χ141111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−iii−i−i−iiiii−i−iii−i−i−i−iii-11-111-1
χ151111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−ii−i−iiii−i−i−i−iii−i−iiiii−i−i-11-111-1
χ161111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−ii−iii−i−iii−i−i−i−iii−i−iii1-11-1-11
χ17222222-122222-122-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ18222222-122222-122-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ19222222-122222-122-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000222200-2-2000011110000-1-1-1-1000000
χ20222222-122222-122-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000-2-2-2-200220000-1-1-1-100001111000000
χ21222222-1-2-2-2-22-1-2-211-122-1-12-1-1-1-1-2-2111111-212-2-1-11122-1-1-1-1-1-1-2-211111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii000000
χ22222222-1-2-2-2-22-1-2-211-122-1-12-1-1-1-1-2-2111111-212-2-1-11122-1-1-1-1-1-1-2-21111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ23222222-1-2-2-2-22-1-2-211-122-1-12-1-1-1-1-2-2111111-21-22-1-111-2-211111122-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000ii−i−i0000−i−iii000000
χ24222222-1-2-2-2-22-1-2-211-122-1-12-1-1-1-1-2-2111111-21-22-1-111-2-211111122-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000−i−iii0000ii−i−i000000
χ2522222-122222-12-1-122-1-1-122-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ2622222-122222-12-1-122-1-1-122-12-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ2722222-122222-12-1-122-1-1-122-12-1-1-1-1-122-1-1-1-1-12-2-2-1-1-1-111-2-2111111-2-2111122220000-2-20011110000-1-1-1-10000000000
χ2822222-122222-12-1-122-1-1-122-12-1-1-1-1-122-1-1-1-1-12-2-2-1-1-1-111-2-2111111-2-21111-2-2-2-200002200-1-1-1-1000011110000000000
χ2922222-12-2-2-2-2-1211-2-2-1-1-122-12-1-1-111-2-211111-22-2-1-111-1-122-1-1-1-111-2-211112i2i−2i−2i00002i−2i00−i−iii0000−i−iii0000000000
χ3022222-12-2-2-2-2-1211-2-2-1-1-122-12-1-1-111-2-211111-22-2-1-111-1-122-1-1-1-111-2-21111−2i−2i2i2i0000−2i2i00ii−i−i0000ii−i−i0000000000
χ3122222-12-2-2-2-2-1211-2-2-1-1-122-12-1-1-111-2-211111-2-22-1-11111-2-21111-1-122-1-1-1-12i2i−2i−2i0000−2i2i00ii−i−i0000−i−iii0000000000
χ3222222-12-2-2-2-2-1211-2-2-1-1-122-12-1-1-111-2-211111-2-22-1-11111-2-21111-1-122-1-1-1-1−2i−2i2i2i00002i−2i00−i−iii0000ii−i−i0000000000
χ33222-2-22222-2-22222-2-222-22-2-2-22-2-22-22222-2-2-2-2002-22-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ34222-2-22222-2-22222-2-222-22-2-2-22-2-22-22222-2-2-2-2002-22-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ35222-2-222-2-22222-2-22222-22-2-2-22-2-2-22-2-2-2-22222002-2-2200000000000000002-2-2200000000000000002-2-220000000000
χ36222-2-222-2-22222-2-22222-22-2-2-22-2-2-22-2-2-2-22222002-2-220000000000000000-222-20000000000000000-222-20000000000
χ37222-2-2-1222-2-2-12-1-1-2-2-1-112-21-2-111-1122-1-1111-200-11-113−30033−3−33−30033−3−32i−2i2i−2i00000000−i3i3−i3i30000−ii−ii0000000000
χ38222-2-2-1222-2-2-12-1-1-2-2-1-112-21-2-111-1122-1-1111-200-11-113−30033−3−33−30033−3−3−2i2i−2i2i00000000i3−i3i3−i30000i−ii−i0000000000
χ39222-2-2-1222-2-2-12-1-1-2-2-1-112-21-2-111-1122-1-1111-200-11-11−3300−3−333−3300−3−3332i−2i2i−2i00000000i3−i3i3−i30000−ii−ii0000000000
χ40222-2-2-1222-2-2-12-1-1-2-2-1-112-21-2-111-1122-1-1111-200-11-11−3300−3−333−3300−3−333−2i2i−2i2i00000000−i3i3−i3i30000i−ii−i0000000000
χ41222-2-2-12-2-222-121122-1-112-21-2-1111-1-2-211-1-1-1200-111-13−30033−3−3−3300−3−3332-2-2200000000−333−30000-111-10000000000
χ42222-2-2-12-2-222-121122-1-112-21-2-1111-1-2-211-1-1-1200-111-13−30033−3−3−3300−3−333-222-2000000003−3−3300001-1-110000000000
χ43222-2-2-12-2-222-121122-1-112-21-2-1111-1-2-211-1-1-1200-111-1−3300−3−3333−30033−3−32-2-22000000003−3−330000-111-10000000000
χ44222-2-2-12-2-222-121122-1-112-21-2-1111-1-2-211-1-1-1200-111-1−3300−3−3333−30033−3−3-222-200000000−333−300001-1-110000000000
χ4522-22-2222-22-222-2-2222-22-22-2-22-2-2222-2-2-222-2-200-222-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ4622-22-2222-22-222-2-2222-22-22-2-22-2-2222-2-2-222-2-200-222-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ4722-22-222-22-222222-2-22-22-22-2-22-2-2-2-2-2222-2-22200-22-22000000000000000000002-2-2200000000000000002-2-22000000
χ4822-22-222-22-222222-2-22-22-22-2-22-2-2-2-2-2222-2-22200-22-2200000000000000000000-222-20000000000000000-222-2000000
χ4922-22-22-12-22-22-1-2-2-1-1-1-221-1-21-11122-1111-1-1-21001-1-11003−33−33−3003−33−33−300002i−2i2i−2i00000000−i3i3−i3i30000−ii−ii000000
χ5022-22-22-12-22-22-1-2-2-1-1-1-221-1-21-11122-1111-1-1-21001-1-11003−33−33−3003−33−33−30000−2i2i−2i2i00000000i3−i3i3−i30000i−ii−i000000
χ5122-22-22-12-22-22-1-2-2-1-1-1-221-1-21-11122-1111-1-1-21001-1-1100−33−33−3300−33−33−3300002i−2i2i−2i00000000i3−i3i3−i30000−ii−ii000000
χ5222-22-22-12-22-22-1-2-2-1-1-1-221-1-21-11122-1111-1-1-21001-1-1100−33−33−3300−33−33−330000−2i2i−2i2i00000000−i3i3−i3i30000i−ii−i000000
χ5322-22-22-1-22-222-12211-1-221-1-21-111-2-21-1-1-1112-1001-11-1003−33−33−300−33−33−3300002-2-2200000000−333−30000-111-1000000
χ5422-22-22-1-22-222-12211-1-221-1-21-111-2-21-1-1-1112-1001-11-1003−33−33−300−33−33−330000-222-2000000003−3−3300001-1-11000000
χ5522-22-22-1-22-222-12211-1-221-1-21-111-2-21-1-1-1112-1001-11-100−33−33−33003−33−33−300002-2-22000000003−3−330000-111-1000000
χ5622-22-22-1-22-222-12211-1-221-1-21-111-2-21-1-1-1112-1001-11-100−33−33−33003−33−33−30000-222-200000000−333−300001-1-11000000
χ5722-2-22222-2-2222-2-2-2-22-2-2-2-2222222-22-2-2-2-2-22200-2-222000000000000000000000000000000000000000000002-2-2200
χ5822-2-22222-2-2222-2-2-2-22-2-2-2-2222222-22-2-2-2-2-22200-2-22200000000000000000000000000000000000000000000-222-200
χ5922-2-2222-222-22222222-2-2-2-222222-22-222222-2-200-2-2-2-20000000000000000000000000000000000000000000022-2-200
χ6022-2-2222-222-22222222-2-2-2-222222-22-222222-2-200-2-2-2-200000000000000000000000000000000000000000000-2-22200
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-2-21111-2-2441111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-2-21111-2-2-4-411112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-222221-2-2-2-2-2-21112222-1-1-1-1224-411-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-222221-2-2-2-2-2-21112222-1-1-1-122-4411-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ65444-4-44-244-4-44-24422-24-4-22-42-2224-4-2-2-2-222-4200-22-2200000000000000000000000000000000000000000000000000
χ66444-4-44-2-4-4444-2-4-4-2-2-24-4-22-42-222-442222-2-24-200-222-200000000000000000000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-2-2-2221-22-22221-1-1-22-2-211-1-122001-11-123−2300−3−33323−2300−3−3330000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-2-2-2221-22-22221-1-1-22-2-211-1-122001-11-1−23230033−3−3−23230033−3−30000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-222-2-21-22-22221-1-12-222-1-111-2-2001-1-1123−2300−3−333−23230033−3−30000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-222-2-21-22-22221-1-12-222-1-111-2-2001-1-11−23230033−3−323−2300−3−3330000000000000000000000000000000000
χ7144-44-4-244-44-4-242244-22-2-442-4-222-2-24-422-2-22-4002-2-2200000000000000000000000000000000000000000000000000
χ7244-44-4-24-44-44-24-2-2-4-4-22-2-442-4-22222-44-2-222-24002-22-200000000000000000000000000000000000000000000000000
χ7344-44-4-2-24-44-4-2-222-2-212-22-2221-1-1-2-2-22-1-1112200-111-10023−23−33−330023−23−33−330000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-222-2-212-22-2221-1-1-2-2-22-1-1112200-111-100−23233−33−300−23233−33−30000000000000000000000000000000000
χ7544-44-4-2-2-44-44-2-2-2-22212-22-2221-1-1222-211-1-1-2-200-11-110023−23−33−3300−23233−33−30000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-2-2-22212-22-2221-1-1222-211-1-1-2-200-11-1100−23233−33−30023−23−33−330000000000000000000000000000000000
χ7744-4-444-24-4-444-2-4-422-2-4-4224-2-2-2-24-4-2222224-20022-2-200000000000000000000000000000000000000000000000000
χ7844-4-444-2-444-44-244-2-2-2-4-4224-2-2-2-2-442-2-2-2-2-2-4200222200000000000000000000000000000000000000000000000000
χ7944-4-44-244-4-44-2422-4-4-222-4-4-24-2-2-2-224-42222-240022-2-200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-24-2-244-222-4-4-24-2-2-22-2-44-2-2-2-22-400222200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2222212222-2-2111-22-22-1-1-1-1-2-200-1-11100003-3-3300003-3-330000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2222212222-2-2111-22-22-1-1-1-1-2-200-1-1110000-333-30000-333-30000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-2-2-2-2-212222-2-21112-22-211112200-1-1-1-100003-3-330000-333-30000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-2-2-2-2-212222-2-21112-22-211112200-1-1-1-10000-333-300003-3-330000000000000000000000000000000000
χ858-8000880000-8-800008000000-800000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-400000040000000043−430000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-4000000400000000−43430000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-4000000400000043−43000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-40000004000000−4343000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−432000000-26-60000−2323−23230000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−43432000000-2-660000−232323−230000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−432000000-2-66000023−23−23230000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−43432000000-26-6000023−2323−230000000000000000000000000000000000000000000000000000000000

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