Finite Group Databasebeta

← Group #11788860

Character table — Group #11788860

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222222223366666636666666666666666666446666121212121212121212121212121212122244444424446666121212121212121212121212444444
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1
χ91111-11-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-11-11-1ii−i−i1-1i−i1-111ii−i−i1-1-1-1ii−i−iii−i−ii−i
χ101111-11-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-11-11-1−i−iii1-1−ii1-111−i−iii1-1-1-1−i−iii−i−iii−ii
χ111111-11-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-1-11-11ii−i−i-11i−i-11-1-1ii−i−i-1111ii−i−i−i−iii−ii
χ121111-11-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-1-11-11−i−iii-11−ii-11-1-1−i−iii-1111−i−iiiii−i−ii−i
χ131111-11-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-11111111-11-1ii−i−i-11−ii1-1-1-1−i−iii1-111ii−i−iii−i−i−ii
χ141111-11-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-11111111-11-1−i−iii-11i−i1-1-1-1ii−i−i1-111−i−iii−i−iiii−i
χ151111-11-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111-11-11ii−i−i1-1−ii-1111−i−iii-11-1-1ii−i−i−i−iiii−i
χ161111-11-1-1-111111-1-11111-1-111-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111-11-11−i−iii1-1i−i-1111ii−i−i-11-1-1−i−iiiii−i−i−ii
χ172222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ182222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ192222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-2111122220000-2-200-1-1110000-1-1110000000000
χ202222222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-21111-2-2-2-20000220011-1-1000011-1-10000000000
χ21222222222-12-122-1-12-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ22222222222-12-122-1-12-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ23222222222-12-122-1-12-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000222200-2-2000011110000-1-1-1-1000000
χ24222222222-12-122-1-12-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000-2-2-2-200220000-1-1-1-100001111000000
χ252222-22-2-2-22-12-1-1-2-2-1-122-2-2-1-11111-111112-1-1-22-2-1-111-1-11122-1-1-1-1-2-211112-22-200002-200-11-1-10000-11110000000000
χ262222-22-2-2-22-12-1-1-2-2-1-122-2-2-1-11111-111112-1-1-22-2-1-111-1-11122-1-1-1-1-2-21111-22-220000-22001-11100001-1-1-10000000000
χ272222-22-2-2-22-12-1-1-2-2-1-122-2-2-1-11111-111112-1-1-2-22-1-11111-1-1-2-2111122-1-1-1-12-22-20000-2200-11110000-11-1-10000000000
χ282222-22-2-2-22-12-1-1-2-2-1-122-2-2-1-11111-111112-1-1-2-22-1-11111-1-1-2-2111122-1-1-1-1-22-2200002-2001-1-1-100001-1110000000000
χ292222-22-2-2-2-12-122112-1-1-11122-2-2-2-2-11111-1-1-112-2-1-11122-2-2-1-1-1-1-1-111111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii000000
χ302222-22-2-2-2-12-122112-1-1-11122-2-2-2-2-11111-1-1-112-2-1-11122-2-2-1-1-1-1-1-11111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ312222-22-2-2-2-12-122112-1-1-11122-2-2-2-2-11111-1-1-11-22-1-111-2-222111111-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000ii−i−i0000−i−iii000000
χ322222-22-2-2-2-12-122112-1-1-11122-2-2-2-2-11111-1-1-11-22-1-111-2-222111111-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000−i−iii0000ii−i−i000000
χ33222-22-22-2-2222-2-222222-22-22-222-2-2222-2-2-2-2-2-2002-22-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ34222-22-22-2-2222-2-222222-22-22-222-2-2222-2-2-2-2-2-2002-22-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ35222-22-22-2-2-12-1-2-2-1-12-1-11-112-222-2-2-1-1-111111100-11-1100003−333−3−33−333−3−300002i−2i2i−2i00000000−i3i3−i3i30000−ii−ii000000
χ36222-22-22-2-2-12-1-2-2-1-12-1-11-112-222-2-2-1-1-111111100-11-1100003−333−3−33−333−3−30000−2i2i−2i2i00000000i3−i3i3−i30000i−ii−i000000
χ37222-22-22-2-2-12-1-2-2-1-12-1-11-112-222-2-2-1-1-111111100-11-110000−33−3−333−33−3−33300002i−2i2i−2i00000000i3−i3i3−i30000−ii−ii000000
χ38222-22-22-2-2-12-1-2-2-1-12-1-11-112-222-2-2-1-1-111111100-11-110000−33−3−333−33−3−3330000−2i2i−2i2i00000000−i3i3−i3i30000i−ii−i000000
χ39222-2-2-2-222222-2-2-2-2222-2-222-2-2-2222-2-222-2-2-22002-2-22000000000000000000002-2-2200000000000000002-2-22000000
χ40222-2-2-2-222222-2-2-2-2222-2-222-2-2-2222-2-222-2-2-22002-2-2200000000000000000000-222-20000000000000000-222-2000000
χ41222-2-2-2-222-12-1-2-2112-1-111-12-2-2-222-111-1-1111-100-111-100003−333−3−3−33−3−33300002-2-2200000000−333−30000-111-1000000
χ42222-2-2-2-222-12-1-2-2112-1-111-12-2-2-222-111-1-1111-100-111-100003−333−3−3−33−3−3330000-222-2000000003−3−3300001-1-11000000
χ43222-2-2-2-222-12-1-2-2112-1-111-12-2-2-222-111-1-1111-100-111-10000−33−3−3333−333−3−300002-2-22000000003−3−330000-111-1000000
χ44222-2-2-2-222-12-1-2-2112-1-111-12-2-2-222-111-1-1111-100-111-10000−33−3−3333−333−3−30000-222-200000000−333−300001-1-11000000
χ4522-222-2-22-2222-2-2-2-222-2222-222-22-22-2-222-2-2-2-200-222-2000000000000000000000000000000000000000000002i−2i2i−2i00
χ4622-222-2-22-2222-2-2-2-222-2222-222-22-22-2-222-2-2-2-200-222-200000000000000000000000000000000000000000000−2i2i−2i2i00
χ4722-22-2-22-22222-2-22222-22-2-2-22-22-22222-2-2-2-2-2200-22-22000000000000000000000000000000000000000000002-2-2200
χ4822-22-2-22-22222-2-22222-22-2-2-22-22-22222-2-2-2-2-2200-22-2200000000000000000000000000000000000000000000-222-200
χ4922-2-222-2-2222222-2-222-2-22-2-2-22-2-222-2-2-2-2222200-2-222000000000000000022-2-20000000022000000-2-2000000000000
χ5022-2-222-2-2222222-2-222-2-22-2-2-22-2-222-2-2-2-2222200-2-2220000000000000000-2-22200000000-2-200000022000000000000
χ5122-2-222-2-222-12-1-1-2-2-1-1-2-22-211-111-1-111112-1-120011-1-1−i3i3−i3i300−i3i3−i3i300−i3i3−i3i322-2-200000000-1-1−i3i3000011−i3i30000000000
χ5222-2-222-2-222-12-1-1-2-2-1-1-2-22-211-111-1-111112-1-120011-1-1−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-2-2220000000011i3−i30000-1-1i3−i30000000000
χ5322-2-222-2-222-12-1-1-2-2-1-1-2-22-211-111-1-111112-1-120011-1-1i3−i3i3−i300i3−i3i3−i300i3−i3i3−i322-2-200000000-1-1i3−i3000011i3−i30000000000
χ5422-2-222-2-222-12-1-1-2-2-1-1-2-22-211-111-1-111112-1-120011-1-1i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-2-2220000000011−i3i30000-1-1−i3i30000000000
χ5522-2-2-2222-2222222222-2-2-22-2-2-222-222222222-200-2-2-2-200000000000000002-2-22000000002-2000000-22000000000000
χ5622-2-2-2222-2222222222-2-2-22-2-2-222-222222222-200-2-2-2-20000000000000000-222-200000000-220000002-2000000000000
χ5722-2-2-2222-22-12-1-122-1-1-2-2-22111-1-11-1-1-1-1-12-1-1-2001111−i3i3i3−i300−i3i3−i3i300i3−i3i3−i32-2-2200000000-11−i3i300001-1i3−i30000000000
χ5822-2-2-2222-22-12-1-122-1-1-2-2-22111-1-11-1-1-1-1-12-1-1-2001111−i3i3i3−i300−i3i3−i3i300i3−i3i3−i3-222-2000000001-1i3−i30000-11−i3i30000000000
χ5922-2-2-2222-22-12-1-122-1-1-2-2-22111-1-11-1-1-1-1-12-1-1-2001111i3−i3−i3i300i3−i3i3−i300−i3i3−i3i32-2-2200000000-11i3−i300001-1−i3i30000000000
χ6022-2-2-2222-22-12-1-122-1-1-2-2-22111-1-11-1-1-1-1-12-1-1-2001111i3−i3−i3i300i3−i3i3−i300−i3i3−i3i3-222-2000000001-1−i3i30000-11i3−i30000000000
χ61444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-211111-211-2-4-41111222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ634444-44-4-4-4-2-2-2-2-222-21-2-222-2-222221-1-1-1-1-21124-411-1-1-2-222-2-2111122-1-1-1-10000000000000000000000000000000000
χ644444-44-4-4-4-2-2-2-2-222-21-2-222-2-222221-1-1-1-1-2112-4411-1-122-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ65444-44-44-4-44-242244-2-24-44-4-22-2-222-2-2-222-422-400-22-2200000000000000000000000000000000000000000000000000
χ66444-44-44-4-4-2-2-222-2-2-21-22-22-22-2-222111-1-12-1-12001-11-1000023−23−3−33323−23−3−3330000000000000000000000000000000000
χ67444-44-44-4-4-2-2-222-2-2-21-22-22-22-2-222111-1-12-1-12001-11-10000−232333−3−3−232333−3−30000000000000000000000000000000000
χ68444-4-4-4-4444-2422-4-4-2-24-4-44-2222-2-2-222-2-2-422400-222-200000000000000000000000000000000000000000000000000
χ69444-4-4-4-444-2-2-22222-21-222-2-2222-2-21-1-1112-1-1-2001-1-11000023−23−3−333−232333−3−30000000000000000000000000000000000
χ70444-4-4-4-444-2-2-22222-21-222-2-2222-2-21-1-1112-1-1-2001-1-110000−232333−3−323−23−3−3330000000000000000000000000000000000
χ7144-444-4-44-44-2422-4-4-2-2-44442-2-22-22-222-2-2-422-4002-2-2200000000000000000000000000000000000000000000000000
χ7244-444-4-44-4-24-2-4-4224-22-2-2-2-444-44-4-222-2-22222002-2-2200000000000000000000000000000000000000000000000000
χ7344-444-4-44-4-2-2-22222-212-2-2-22-2-22-221-1-1112-1-1200-111-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ7444-444-4-44-4-2-2-22222-212-2-2-22-2-22-221-1-1112-1-1200-111-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ7544-44-4-44-444-242244-2-2-44-4-42-22-22-2-2-2-222-4224002-22-200000000000000000000000000000000000000000000000000
χ7644-44-4-44-44-24-2-4-4-2-24-22-222-44-44-44-2-2-222222-2002-22-200000000000000000000000000000000000000000000000000
χ7744-44-4-44-44-2-2-222-2-2-212-2222-22-22-2111-1-12-1-1-200-11-110000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000
χ7844-44-4-44-44-2-2-222-2-2-212-2222-22-22-2111-1-12-1-1-200-11-11000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000
χ7944-4-444-4-44-24-244224-222-22-4-44-4-44-22222-2-2-2-20022-2-200000000000000000000000000000000000000000000000000
χ8044-4-444-4-44-2-2-2-2-222-2122-2222-222-21-1-1-1-1-211-200-1-111−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i30000000000000000000000000000000000
χ8144-4-444-4-44-2-2-2-2-222-2122-2222-222-21-1-1-1-1-211-200-1-1112i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i30000000000000000000000000000000000
χ8244-4-4-4444-4-24-244-2-24-2222-2-4-4-444-4-2-2-2-2-2-2-2-2200222200000000000000000000000000000000000000000000000000
χ8344-4-4-4444-4-2-2-2-2-2-2-2-21222-2222-2-2211111-211200-1-1-1-1−2i32i32i3−2i300i3−i3i3−i300−i3i3−i3i30000000000000000000000000000000000
χ8444-4-4-4444-4-2-2-2-2-2-2-2-21222-2222-2-2211111-211200-1-1-1-12i3−2i3−2i32i300−i3i3−i3i300i3−i3i3−i30000000000000000000000000000000000
χ858-8000000088-80000-880000000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-800000008-4-8−4i34i3004-40000000000400000−4i34i3000000000000000000000000000000000000000000000000000000000
χ878-800000008-4-84i3−4i3004-400000000004000004i3−4i3000000000000000000000000000000000000000000000000000000000
χ888-80000000-48400−4i34i3-8-400000000004−4i34i300000000000000000000000000000000000000000000000000000000000000
χ898-80000000-484004i3−4i3-8-4000000000044i3−4i300000000000000000000000000000000000000000000000000000000000000
χ908-80000000-4-44−4i34i3−4i34i3420000000000-22i3−2i36-602i3−2i3000000000000000000000000000000000000000000000000000000000
χ918-80000000-4-44−4i34i34i3−4i3420000000000-2−2i32i3-6602i3−2i3000000000000000000000000000000000000000000000000000000000
χ928-80000000-4-444i3−4i3−4i34i3420000000000-22i3−2i3-660−2i32i3000000000000000000000000000000000000000000000000000000000
χ938-80000000-4-444i3−4i34i3−4i3420000000000-2−2i32i36-60−2i32i3000000000000000000000000000000000000000000000000000000000

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