Finite Group Databasebeta

← Group #11788853

Character table — Group #11788853

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order122222222336666663444466666666666666666666666121212121212121212121212121212122444444466121212121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ5111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91111-11-1-1-111111-1-111ii−i−i11-1-111-1-1111-1-1-1-1-1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−ii−i1-111-1-1ii−i−iii−i−i11-1-11-11-1ii−i−i
χ101111-11-1-1-111111-1-111ii−i−i11-1-111-1-1111-1-1-1-1-1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i−ii-1111-1-1−i−iiiii−i−i-1-111-11-11−i−iii
χ111111-11-1-1-111111-1-111ii−i−i11-1-111-1-1111-1-1-1-1-1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−iii−i1-1-1-111ii−i−i−i−iii11-1-1-11-11−i−iii
χ121111-11-1-1-111111-1-111ii−i−i11-1-111-1-1111-1-1-1-1-1-11-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii−ii-11-1-111−i−iii−i−iii-1-1111-11-1ii−i−i
χ131111-11-1-1-111111-1-111−i−iii11-1-111-1-1111-1-1-1-1-1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−iii−i-1111-1-1ii−i−i−i−iii-1-111-11-11ii−i−i
χ141111-11-1-1-111111-1-111−i−iii11-1-111-1-1111-1-1-1-1-1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii−ii1-111-1-1−i−iii−i−iii11-1-11-11-1−i−iii
χ151111-11-1-1-111111-1-111−i−iii11-1-111-1-1111-1-1-1-1-1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−ii−i-11-1-111ii−i−iii−i−i-1-1111-11-1−i−iii
χ161111-11-1-1-111111-1-111−i−iii11-1-111-1-1111-1-1-1-1-1-11-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i−ii1-1-1-111−i−iiiii−i−i11-1-1-11-11ii−i−i
χ172222222222-12-1-122-1-122222222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-10000-1-1-1-1000000000000
χ182222222222-12-1-122-1-122222222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000111100001111000000000000
χ192222222222-12-1-122-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111122-2-20000-1-1-1-100001111000000000000
χ202222222222-12-1-122-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111-2-222000011110000-1-1-1-1000000000000
χ21222222222-12-122-1-12-12222-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022220000-1-1-1-10000-1-1-1-100000000
χ22222222222-12-122-1-12-12222-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000011110000111100000000
χ23222222222-12-122-1-12-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111000022-2-20000-1-1-1-10000111100000000
χ24222222222-12-122-1-12-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211110000-2-222000011110000-1-1-1-100000000
χ252222-22-2-2-22-12-1-1-2-2-1-12i2i−2i−2i22-2-2-1-111-1-1-111-211121-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii2-22i−2i0000-1-1110000−i−iii000000000000
χ262222-22-2-2-22-12-1-1-2-2-1-12i2i−2i−2i22-2-2-1-111-1-1-111-211121-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii-22−2i2i000011-1-10000ii−i−i000000000000
χ272222-22-2-2-22-12-1-1-2-2-1-1−2i−2i2i2i22-2-2-1-111-1-1-111-211121-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-2−2i2i0000-1-1110000ii−i−i000000000000
χ282222-22-2-2-22-12-1-1-2-2-1-1−2i−2i2i2i22-2-2-1-111-1-1-111-211121-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i-222i−2i000011-1-10000−i−iii000000000000
χ292222-22-2-2-2-12-122112-12i2i−2i−2i-1-11122-2-2-1-1-1111-211-1-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii00002i−2i2-20000−i−iii0000-1-11100000000
χ302222-22-2-2-2-12-122112-12i2i−2i−2i-1-11122-2-2-1-1-1111-211-1-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000−2i2i-220000ii−i−i000011-1-100000000
χ312222-22-2-2-2-12-122112-1−2i−2i2i2i-1-11122-2-2-1-1-1111-211-1-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i00002i−2i-220000−i−iii000011-1-100000000
χ322222-22-2-2-2-12-122112-1−2i−2i2i2i-1-11122-2-2-1-1-1111-211-1-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000−2i2i2-20000ii−i−i0000-1-11100000000
χ33222-22-22-2-222222-2-22200002-222-2-22-2222-2-2-2-2-2-2-22-2-222000000000000000000000000000000000000000000002i−2i2i−2i
χ34222-22-22-2-222222-2-22200002-222-2-22-2222-2-2-2-2-2-2-22-2-22200000000000000000000000000000000000000000000−2i2i−2i2i
χ35222-2-2-2-22222222222200002-2-2-2-2-2-22222222222-2-2-2-2-2-2000000000000000000000000000000000000000000002-2-22
χ36222-2-2-2-22222222222200002-2-2-2-2-2-22222222222-2-2-2-2-2-200000000000000000000000000000000000000000000-222-2
χ3722-222-2-22-2222-2-222222i−2i2i−2i-222-22-2222-2-222-2-2-2-2-2-22-22-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000
χ3822-222-2-22-2222-2-22222−2i2i−2i2i-222-22-2222-2-222-2-2-2-2-2-22-22-2−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000
χ3922-222-2-22-22-121122-1-12i−2i2i−2i-222-2-11-1-1-111-1-1-2111-21-11-112i−2i−ii−i−iii2i−2i−ii−i−iii00000000−i3i3−i3i300003−33−3000000000000
χ4022-222-2-22-22-121122-1-12i−2i2i−2i-222-2-11-1-1-111-1-1-2111-21-11-112i−2i−ii−i−iii2i−2i−ii−i−iii00000000i3−i3i3−i30000−33−33000000000000
χ4122-222-2-22-22-121122-1-1−2i2i−2i2i-222-2-11-1-1-111-1-1-2111-21-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i00000000−i3i3−i3i30000−33−33000000000000
χ4222-222-2-22-22-121122-1-1−2i2i−2i2i-222-2-11-1-1-111-1-1-2111-21-11-11−2i2ii−iii−i−i−2i2ii−iii−i−i00000000i3−i3i3−i300003−33−3000000000000
χ4322-222-2-22-2-12-1-2-2-1-12-12i−2i2i−2i1-1-112-222-111-1-11-2111-2-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000−i3i3−i3i300003−33−300000000
χ4422-222-2-22-2-12-1-2-2-1-12-12i−2i2i−2i1-1-112-222-111-1-11-2111-2-11-11−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000i3−i3i3−i30000−33−3300000000
χ4522-222-2-22-2-12-1-2-2-1-12-1−2i2i−2i2i1-1-112-222-111-1-11-2111-2-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000−i3i3−i3i30000−33−3300000000
χ4622-222-2-22-2-12-1-2-2-1-12-1−2i2i−2i2i1-1-112-222-111-1-11-2111-2-11-11i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000i3−i3i3−i300003−33−300000000
χ4722-22-2-22-22222-2-2-2-2222-2-22-22-222-2-2-22-2-2-2-22222-222-2-222-22-222-2-2-22-22-2-22200000000000000000000000000000000
χ4822-22-2-22-22222-2-2-2-222-222-2-22-222-2-2-22-2-2-2-22222-222-2-22-22-22-2-2222-22-222-2-200000000000000000000000000000000
χ4922-22-2-22-222-1211-2-2-1-12-2-22-22-22-1111-111112-1-1-1-2-1-111-12-2-11-1-111-221-111-1-100000000−i3i3i3−i30000−i3i3i3−i3000000000000
χ5022-22-2-22-222-1211-2-2-1-12-2-22-22-22-1111-111112-1-1-1-2-1-111-12-2-11-1-111-221-111-1-100000000i3−i3−i3i30000i3−i3−i3i3000000000000
χ5122-22-2-22-222-1211-2-2-1-1-222-2-22-22-1111-111112-1-1-1-2-1-111-1-221-111-1-12-2-11-1-11100000000−i3i3i3−i30000i3−i3−i3i3000000000000
χ5222-22-2-22-222-1211-2-2-1-1-222-2-22-22-1111-111112-1-1-1-2-1-111-1-221-111-1-12-2-11-1-11100000000i3−i3−i3i30000−i3i3i3−i3000000000000
χ5322-22-2-22-22-12-1-2-2112-12-2-221-11-12-2-2-2-11111-12-1-112-111-1-112-2-1-1111-1-2211-1-10000000000003−3−330000−333−300000000
χ5422-22-2-22-22-12-1-2-2112-12-2-221-11-12-2-2-2-11111-12-1-112-111-1-112-2-1-1111-1-2211-1-1000000000000−333−300003−3−3300000000
χ5522-22-2-22-22-12-1-2-2112-1-222-21-11-12-2-2-2-11111-12-1-112-111-11-1-2211-1-1-112-2-1-1110000000000003−3−3300003−3−3300000000
χ5622-22-2-22-22-12-1-2-2112-1-222-21-11-12-2-2-2-11111-12-1-112-111-11-1-2211-1-1-112-2-1-111000000000000−333−30000−333−300000000
χ5722-2-222-2-22222-2-2-2-2220000-2-22-2-222-22-2-2-2-222222-2-222-2000000000000000000000000000000000000000022-2-20000
χ5822-2-222-2-22222-2-2-2-2220000-2-22-2-222-22-2-2-2-222222-2-222-20000000000000000000000000000000000000000-2-2220000
χ5922-2-2-2222-2222-2-222220000-2-2-22-22-222-2-222-2-2-2-222-22-2200000000000000000000000000000000000000002-2-220000
χ6022-2-2-2222-2222-2-222220000-2-2-22-22-222-2-222-2-2-2-222-22-220000000000000000000000000000000000000000-222-20000
χ61444444444-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-211111-2-211-2-21111-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-211111-2-211-2-211112222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ634444-44-4-4-4-2-2-2-2-222-214i4i−4i−4i-2-222-2-222111-1-122-1-1-2211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000
χ644444-44-4-4-4-2-2-2-2-222-21−4i−4i4i4i-2-222-2-222111-1-122-1-1-2211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000
χ65444-44-44-4-44-24-2-2-4-4-2-200004-44422-22-2-2-222-4222-4-222-2-2000000000000000000000000000000000000000000000000
χ66444-44-44-4-4-24-244224-20000-22-2-2-4-44-4-2-2-2222-4222422-2-2000000000000000000000000000000000000000000000000
χ67444-44-44-4-4-2-2-2-2-222-210000-22-2-222-22111-1-122-1-12-2-1-11100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000000000
χ68444-44-44-4-4-2-2-2-2-222-210000-22-2-222-22111-1-122-1-12-2-1-1110000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000000000
χ69444-4-4-4-4444-24-2-244-2-200004-4-4-4222-2-2-2-2-2-24-2-2-2-422222000000000000000000000000000000000000000000000000
χ70444-4-4-4-444-24-244-2-24-20000-2222-4-4-44-2-2-2-2-2-24-2-22-42222000000000000000000000000000000000000000000000000
χ71444-4-4-4-444-2-2-2-2-2-2-2-210000-2222222-211111-2-21122-1-1-1-100003-33-30000-33-3300000000000000000000000000000000
χ72444-4-4-4-444-2-2-2-2-2-2-2-210000-2222222-211111-2-21122-1-1-1-10000-33-3300003-33-300000000000000000000000000000000
χ7344-444-4-44-4-2-2-222-2-2-214i−4i4i−4i2-2-22-22-2-21-1-11122-1-1221-11-1−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i00000000000000000000000000000000
χ7444-444-4-44-4-2-2-222-2-2-21−4i4i−4i4i2-2-22-22-2-21-1-11122-1-1221-11-12i−2i2i−2i−i−iii2i−2i2i−2i−i−iii00000000000000000000000000000000
χ7544-44-4-44-44-2-2-22222-214-4-442-22-2-22221-1-1-1-1-2-2112-21-1-11-22-2211-1-12-22-2-1-11100000000000000000000000000000000
χ7644-44-4-44-44-2-2-22222-21-444-42-22-2-22221-1-1-1-1-2-2112-21-1-112-22-2-1-111-22-2211-1-100000000000000000000000000000000
χ7744-4-444-4-444-2422-4-4-2-20000-4-44-42-2-22-222224-2-2-2422-2-22000000000000000000000000000000000000000000000000
χ7844-4-444-4-44-24-2-4-4224-2000022-22-444-4-22222-24-2-2-2-42-2-22000000000000000000000000000000000000000000000000
χ7944-4-444-4-44-2-2-22222-21000022-222-2-221-1-1-1-1-2-211-22-111-100003-3-3300003-3-3300000000000000000000000000000000
χ8044-4-444-4-44-2-2-22222-21000022-222-2-221-1-1-1-1-2-211-22-111-10000-333-30000-333-300000000000000000000000000000000
χ8144-4-4-4444-44-242244-2-20000-4-4-442-22-2-222-2-2-42224-22-22-2000000000000000000000000000000000000000000000000
χ8244-4-4-4444-4-24-2-4-4-2-24-20000222-2-44-44-222-2-22-422-242-22-2000000000000000000000000000000000000000000000000
χ8344-4-4-4444-4-2-2-222-2-2-210000222-22-22-21-1-11122-1-1-2-2-11-1100003i−3i−3i3i0000−3i3i3i−3i00000000000000000000000000000000
χ8444-4-4-4444-4-2-2-222-2-2-210000222-22-22-21-1-11122-1-1-2-2-11-110000−3i3i3i−3i00003i−3i−3i3i00000000000000000000000000000000
χ858-8000000088-80000-88000000000000-800000000000000000000000000000000000000000000000000000000000000
χ868-800000008-4-8−4i34i3004-40000000000004−4i34i3000000000000000000000000000000000000000000000000000000000000
χ878-800000008-4-84i3−4i3004-400000000000044i3−4i3000000000000000000000000000000000000000000000000000000000000
χ888-80000000-48400−4i34i3-8-4000000000000400−4i34i30000000000000000000000000000000000000000000000000000000000
χ898-80000000-484004i3−4i3-8-40000000000004004i3−4i30000000000000000000000000000000000000000000000000000000000
χ908-80000000-4-44−4i34i3−4i34i342000000000000-22i3−2i32i3−2i3006-6000000000000000000000000000000000000000000000000000000
χ918-80000000-4-44−4i34i34i3−4i342000000000000-22i3−2i3−2i32i300-66000000000000000000000000000000000000000000000000000000
χ928-80000000-4-444i3−4i3−4i34i342000000000000-2−2i32i32i3−2i300-66000000000000000000000000000000000000000000000000000000
χ938-80000000-4-444i3−4i34i3−4i342000000000000-2−2i32i3−2i32i3006-6000000000000000000000000000000000000000000000000000000

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