Finite Group Databasebeta

← Group #11788861

Character table — Group #11788861

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222222233666666366666666666666666664466661212121212121212121212121212121244444444444412121212121212121212121212121212224424
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
χ91111-11-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11-111-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ101111-11-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11-111-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-11-11
χ111111-11-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-11-11
χ121111-11-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11-111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ131111-11-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−ii−i−iii−i−iiiii−i−iii−i−i1-11-1-11
χ141111-11-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−iii−i−i−iiiii−i−iii−i−i−i−iii-11-111-1
χ151111-11-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−ii−i−iiii−i−i−i−iii−i−iiiii−i−i-11-111-1
χ161111-11-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−ii−iii−i−iii−i−i−i−iii−i−iii1-11-1-11
χ172222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ182222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ192222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000222200-2-2000011110000-1-1-1-1000000
χ202222222222-12-122-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000-2-2-2-200220000-1-1-1-100001111000000
χ21222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ22222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ23222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-2111122220000-2-20011110000-1-1-1-10000000000
χ24222222222-12-12-1-122-1-1-122-1-122-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-21111-2-2-2-200002200-1-1-1-1000011110000000000
χ252222-22-2-2-22-12-1-2-211-122-1-1-2-211-111112-1-1-1-212-2-1-11122-1-1-1-1-1-1-2-211111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii000000
χ262222-22-2-2-22-12-1-2-211-122-1-1-2-211-111112-1-1-1-212-2-1-11122-1-1-1-1-1-1-2-21111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ272222-22-2-2-22-12-1-2-211-122-1-1-2-211-111112-1-1-1-21-22-1-111-2-211111122-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000ii−i−i0000−i−iii000000
χ282222-22-2-2-22-12-1-2-211-122-1-1-2-211-111112-1-1-1-21-22-1-111-2-211111122-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000−i−iii0000ii−i−i000000
χ292222-22-2-2-2-12-1211-2-2-1-1-12211-2-2-11111-12-1-11-22-2-1-111-1-122-1-1-1-111-2-211112i2i−2i−2i00002i−2i00−i−iii0000−i−iii0000000000
χ302222-22-2-2-2-12-1211-2-2-1-1-12211-2-2-11111-12-1-11-22-2-1-111-1-122-1-1-1-111-2-21111−2i−2i2i2i0000−2i2i00ii−i−i0000ii−i−i0000000000
χ312222-22-2-2-2-12-1211-2-2-1-1-12211-2-2-11111-12-1-11-2-22-1-11111-2-21111-1-122-1-1-1-12i2i−2i−2i0000−2i2i00ii−i−i0000−i−iii0000000000
χ322222-22-2-2-2-12-1211-2-2-1-1-12211-2-2-11111-12-1-11-2-22-1-11111-2-21111-1-122-1-1-1-1−2i−2i2i2i00002i−2i00−i−iii0000ii−i−i0000000000
χ33222-22-22-2-2222222-2-222-22-22-222222-2-2-2-2-2-2-2-2002-22-200000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ34222-22-22-2-2222222-2-222-22-22-222222-2-2-2-2-2-2-2-2002-22-20000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ35222-22-22-2-2-12-12-1-1-2-2-1-112-2-1122-1-1-1111-2111-200-11-113−30033−3−33−30033−3−32i−2i2i−2i00000000−i3i3−i3i30000−ii−ii0000000000
χ36222-22-22-2-2-12-12-1-1-2-2-1-112-2-1122-1-1-1111-2111-200-11-113−30033−3−33−30033−3−3−2i2i−2i2i00000000i3−i3i3−i30000i−ii−i0000000000
χ37222-22-22-2-2-12-12-1-1-2-2-1-112-2-1122-1-1-1111-2111-200-11-11−3300−3−333−3300−3−3332i−2i2i−2i00000000i3−i3i3−i30000−ii−ii0000000000
χ38222-22-22-2-2-12-12-1-1-2-2-1-112-2-1122-1-1-1111-2111-200-11-11−3300−3−333−3300−3−333−2i2i−2i2i00000000−i3i3−i3i30000i−ii−i0000000000
χ39222-2-2-2-2222222-2-22222-22-2-22-2-22-2-222-2-2-2-222002-2-2200000000000000002-2-2200000000000000002-2-220000000000
χ40222-2-2-2-2222222-2-22222-22-2-22-2-22-2-222-2-2-2-222002-2-220000000000000000-222-20000000000000000-222-20000000000
χ41222-2-2-2-222-12-121122-1-112-21-1-2-2-111-1-11-211-1200-111-13−30033−3−3−3300−3−3332-2-2200000000−333−30000-111-10000000000
χ42222-2-2-2-222-12-121122-1-112-21-1-2-2-111-1-11-211-1200-111-13−30033−3−3−3300−3−333-222-2000000003−3−3300001-1-110000000000
χ43222-2-2-2-222-12-121122-1-112-21-1-2-2-111-1-11-211-1200-111-1−3300−3−3333−30033−3−32-2-22000000003−3−330000-111-10000000000
χ44222-2-2-2-222-12-121122-1-112-21-1-2-2-111-1-11-211-1200-111-1−3300−3−3333−30033−3−3-222-200000000−333−300001-1-110000000000
χ4522-222-2-22-22222-2-2222-22-22222-22-2-222-2-2-2-2-2-200-222-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ4622-222-2-22-22222-2-2222-22-22222-22-2-222-2-2-2-2-2-200-222-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ4722-222-2-22-22-12-1-2-2-1-1-1-221-122-11-111-1-1-2111-21001-1-11003−33−33−3003−33−33−300002i−2i2i−2i00000000−i3i3−i3i30000−ii−ii000000
χ4822-222-2-22-22-12-1-2-2-1-1-1-221-122-11-111-1-1-2111-21001-1-11003−33−33−3003−33−33−30000−2i2i−2i2i00000000i3−i3i3−i30000i−ii−i000000
χ4922-222-2-22-22-12-1-2-2-1-1-1-221-122-11-111-1-1-2111-21001-1-1100−33−33−3300−33−33−3300002i−2i2i−2i00000000i3−i3i3−i30000−ii−ii000000
χ5022-222-2-22-22-12-1-2-2-1-1-1-221-122-11-111-1-1-2111-21001-1-1100−33−33−3300−33−33−330000−2i2i−2i2i00000000−i3i3−i3i30000i−ii−i000000
χ5122-22-2-22-22222222-2-22-22-22-2-2-22222-2-2-2-2-2-22200-22-22000000000000000000002-2-2200000000000000002-2-22000000
χ5222-22-2-22-22222222-2-22-22-22-2-2-22222-2-2-2-2-2-22200-22-2200000000000000000000-222-20000000000000000-222-2000000
χ5322-22-2-22-222-12-12211-1-221-1-2-21-1-1-1-111-21112-1001-11-1003−33−33−300−33−33−3300002-2-2200000000−333−30000-111-1000000
χ5422-22-2-22-222-12-12211-1-221-1-2-21-1-1-1-111-21112-1001-11-1003−33−33−300−33−33−330000-222-2000000003−3−3300001-1-11000000
χ5522-22-2-22-222-12-12211-1-221-1-2-21-1-1-1-111-21112-1001-11-100−33−33−33003−33−33−300002-2-22000000003−3−330000-111-1000000
χ5622-22-2-22-222-12-12211-1-221-1-2-21-1-1-1-111-21112-1001-11-100−33−33−33003−33−33−30000-222-200000000−333−300001-1-11000000
χ5722-2-222-2-222222-2-2-2-22-2-2-2-22-22-22-2-2-2-222222200-2-2220000000000000000000000000000000000000000000022-2-200
χ5822-2-222-2-222222-2-2-2-22-2-2-2-22-22-22-2-2-2-222222200-2-22200000000000000000000000000000000000000000000-2-22200
χ5922-2-2-2222-2222222222-2-2-2-2-22-22222222222-2-200-2-2-2-2000000000000000000000000000000000000000000002-2-2200
χ6022-2-2-2222-2222222222-2-2-2-2-22-22222222222-2-200-2-2-2-200000000000000000000000000000000000000000000-222-200
χ61444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2441111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2-4-411112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ634444-44-4-4-4-2-2-2-222221-2-2-2-222221-1-1-1-1-2-211224-411-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ644444-44-4-4-4-2-2-2-222221-2-2-2-222221-1-1-1-1-2-21122-4411-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ65444-44-44-4-44-24-24422-24-4-224-4-2-2-2-2-222-4222-4200-22-2200000000000000000000000000000000000000000000000000
χ66444-44-44-4-4-2-2-2-2-2-2221-22-22-22-2-2111-1-122-1-122001-11-123−2300−3−33323−2300−3−3330000000000000000000000000000000000
χ67444-44-44-4-4-2-2-2-2-2-2221-22-22-22-2-2111-1-122-1-122001-11-1−23230033−3−3−23230033−3−30000000000000000000000000000000000
χ68444-4-4-4-4444-24-2-4-4-2-2-24-4-22-4422-222-2-2-42224-200-222-200000000000000000000000000000000000000000000000000
χ69444-4-4-4-444-2-2-2-222-2-21-22-222-2221-1-11122-1-1-2-2001-1-1123−2300−3−333−23230033−3−30000000000000000000000000000000000
χ70444-4-4-4-444-2-2-2-222-2-21-22-222-2221-1-11122-1-1-2-2001-1-11−23230033−3−323−2300−3−3330000000000000000000000000000000000
χ7144-444-4-44-4-24-242244-22-2-44-2-24-4-222-2-22-4222-4002-2-2200000000000000000000000000000000000000000000000000
χ7244-444-4-44-4-2-2-2-222-2-212-22-2-2-2-221-1-11122-1-12200-111-10023−23−33−330023−23−33−330000000000000000000000000000000000
χ7344-444-4-44-4-2-2-2-222-2-212-22-2-2-2-221-1-11122-1-12200-111-100−23233−33−300−23233−33−30000000000000000000000000000000000
χ7444-44-4-44-44-24-24-2-2-4-4-22-2-4422-44-2-2-2222-422-24002-22-200000000000000000000000000000000000000000000000000
χ7544-44-4-44-44-2-2-2-2-2-22212-22-2222-2111-1-122-1-1-2-200-11-110023−23−33−3300−23233−33−30000000000000000000000000000000000
χ7644-44-4-44-44-2-2-2-2-2-22212-22-2222-2111-1-122-1-1-2-200-11-1100−23233−33−30023−23−33−330000000000000000000000000000000000
χ7744-4-444-4-444-24-2-4-422-2-4-4224-4-22-222224-2-2-24-20022-2-200000000000000000000000000000000000000000000000000
χ7844-4-444-4-44-24-2422-4-4-222-4-4-224-4-22222-24-2-2-240022-2-200000000000000000000000000000000000000000000000000
χ7944-4-444-4-44-2-2-2-2222212222-22-221-1-1-1-1-2-211-2-200-1-11100003-3-3300003-3-330000000000000000000000000000000000
χ8044-4-444-4-44-2-2-2-2222212222-22-221-1-1-1-1-2-211-2-200-1-1110000-333-30000-333-30000000000000000000000000000000000
χ8144-4-4-4444-44-24-244-2-2-2-4-422-442-2-2-2-2-2-24-2-2-2-4200222200000000000000000000000000000000000000000000000000
χ8244-4-4-4444-4-24-24-2-244-222-4-42-2-44-2-2-2-2-2-24-2-22-400222200000000000000000000000000000000000000000000000000
χ8344-4-4-4444-4-2-2-2-2-2-2-2-2122222-22-211111-2-2112200-1-1-1-100003-3-330000-333-30000000000000000000000000000000000
χ8444-4-4-4444-4-2-2-2-2-2-2-2-2122222-22-211111-2-2112200-1-1-1-10000-333-300003-3-330000000000000000000000000000000000
χ858-8000000088-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ868-800000008-4-8400−4i34i3-400000000400−4i34i300000000000000000000000000000000000000000000000000000000000000
χ878-800000008-4-84004i3−4i3-4000000004004i3−4i300000000000000000000000000000000000000000000000000000000000000
χ888-80000000-484-8−4i34i300-4000000004−4i34i30000000000000000000000000000000000000000000000000000000000000000
χ898-80000000-484-84i3−4i300-40000000044i3−4i30000000000000000000000000000000000000000000000000000000000000000
χ908-80000000-4-444−4i34i3−4i34i3200000000-22i3−2i32i3−2i3006-60000000000000000000000000000000000000000000000000000000000
χ918-80000000-4-444−4i34i34i3−4i3200000000-22i3−2i3−2i32i300-660000000000000000000000000000000000000000000000000000000000
χ928-80000000-4-4444i3−4i3−4i34i3200000000-2−2i32i32i3−2i300-660000000000000000000000000000000000000000000000000000000000
χ938-80000000-4-4444i3−4i34i3−4i3200000000-2−2i32i3−2i32i3006-60000000000000000000000000000000000000000000000000000000000

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