Finite Group Databasebeta

← Group #11788858

Character table — Group #11788858

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222222223366666636666666666666666666246666666666661212121212121212224444444444661212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1
χ91111-11-1-1-111111111111-1-111-1-1-1-11111111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1ii−i−i1-1i−i1-111-1-11-1ii−i−iii−i−iii−i−ii−i
χ101111-11-1-1-111111111111-1-111-1-1-1-11111111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1−i−iii1-1−ii1-111-1-11-1−i−iii−i−iii−i−iii−ii
χ111111-11-1-1-111111111111-1-111-1-1-1-11111111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11ii−i−i-11i−i-11-1-111-11ii−i−iii−i−i−i−iii−ii
χ121111-11-1-1-111111111111-1-111-1-1-1-11111111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11−i−iii-11−ii-11-1-111-11−i−iii−i−iiiii−i−ii−i
χ131111-11-1-1-111111111111-1-111-1-1-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1ii−i−i-11−ii1-1-1-1111-1ii−i−i−i−iiiii−i−i−ii
χ141111-11-1-1-111111111111-1-111-1-1-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1−i−iii-11i−i1-1-1-1111-1−i−iiiii−i−i−i−iiii−i
χ151111-11-1-1-111111111111-1-111-1-1-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11ii−i−i1-1−ii-1111-1-1-11ii−i−i−i−iii−i−iiii−i
χ161111-11-1-1-111111111111-1-111-1-1-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11−i−iii1-1i−i-1111-1-1-11−i−iiiii−i−iii−i−i−ii
χ172222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ182222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ192222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-1-1-1-11111-2-211111122220000-2-200-1-11111-1-100000000000000
χ202222222222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-1-1-1-11111-2-2111111-2-2-2-20000220011-1-1-1-11100000000000000
χ21222222222-12-1-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ22222222222-12-1-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ23222222222-12-1-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-211-2-2-1-1-1-1111111-2-211110000222200-2-200000000-1-1-1-11111000000
χ24222222222-12-1-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-211-2-2-1-1-1-1111111-2-211110000-2-2-2-20022000000001111-1-1-1-1000000
χ252222-22-2-2-22-1222-1-1-1-122-2-2-1-11111-1-1-1-1-1-1-1-2-22-222-1-11111-1-1-1-1-2-21111112-22-200002-200-11-1-111-1100000000000000
χ262222-22-2-2-22-1222-1-1-1-122-2-2-1-11111-1-1-1-1-1-1-1-2-22-222-1-11111-1-1-1-1-2-2111111-22-220000-22001-111-1-11-100000000000000
χ272222-22-2-2-22-1222-1-1-1-122-2-2-1-11111-1-1-1-1-1-1-1-2-2-22-2-2111111111122-1-1-1-1-1-12-22-20000-2200-1111-1-1-1100000000000000
χ282222-22-2-2-22-1222-1-1-1-122-2-2-1-11111-1-1-1-1-1-1-1-2-2-22-2-2111111111122-1-1-1-1-1-1-22-2200002-2001-1-1-1111-100000000000000
χ292222-22-2-2-2-12-1-1-1222-1-1-11122-2-2-2-2-1-1-1-1-1-1-1112-2-1-1221111-1-1-1-111-2-2111100002i2i−2i−2i002i−2i00000000−i−iii−i−iii000000
χ302222-22-2-2-2-12-1-1-1222-1-1-11122-2-2-2-2-1-1-1-1-1-1-1112-2-1-1221111-1-1-1-111-2-211110000−2i−2i2i2i00−2i2i00000000ii−i−iii−i−i000000
χ312222-22-2-2-2-12-1-1-1222-1-1-11122-2-2-2-2-1-1-1-1-1-1-111-2211-2-211111111-1-122-1-1-1-100002i2i−2i−2i00−2i2i00000000−i−iiiii−i−i000000
χ322222-22-2-2-2-12-1-1-1222-1-1-11122-2-2-2-2-1-1-1-1-1-1-111-2211-2-211111111-1-122-1-1-1-10000−2i−2i2i2i002i−2i00000000ii−i−i−i−iii000000
χ33222-22-22-2-222222-2-222-2-22-22-222-2-222-2-2-2-222-200000022-2-200000000000000000000000000000000000000002i−2i2i−2i00
χ34222-22-22-2-222222-2-222-2-22-22-222-2-222-2-2-2-222-200000022-2-20000000000000000000000000000000000000000−2i2i−2i2i00
χ35222-2-2-2-22222222-2-222-2-2-222-2-2-22222-2-2-2-22-22000000-2-22200000000000000000000000000000000000000002-2-2200
χ36222-2-2-2-22222222-2-222-2-2-222-2-2-22222-2-2-2-22-22000000-2-2220000000000000000000000000000000000000000-222-200
χ3722-222-2-22-222-2-22-2-2222-222-222-22-2-2-222-2-22-2-20000002-22-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ3822-222-2-22-222-2-22-2-2222-222-222-22-2-2-222-2-22-2-20000002-22-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ3922-222-2-22-2-1211-1-2-22-1-11-1-1-222-22-211-1-111-11100−i3i300-11-11−i3−i3i3i3−i3i300−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ4022-222-2-22-2-1211-1-2-22-1-11-1-1-222-22-211-1-111-11100−i3i300-11-11−i3−i3i3i3−i3i300−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ4122-222-2-22-2-1211-1-2-22-1-11-1-1-222-22-211-1-111-11100i3−i300-11-11i3i3−i3−i3i3−i300i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ4222-222-2-22-2-1211-1-2-22-1-11-1-1-222-22-211-1-111-11100i3−i300-11-11i3i3−i3−i3i3−i300i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ4322-22-2-22-2222-2-22-2-2222-2-2-2-22-22-22-2-222-2-2222000000-22-2200000000000000002-2-220000000000002-2-220000000000
χ4422-22-2-22-2222-2-22-2-2222-2-2-2-22-22-22-2-222-2-2222000000-22-220000000000000000-222-2000000000000-222-20000000000
χ4522-22-2-22-22-1211-1-2-22-1-1111-22-22-2211-1-111-1-1-100−i3i3001-11-1−i3−i3i3i3i3−i300i3i3−i3−i300002-2-22000000000000-111-1−i3i3i3−i3000000
χ4622-22-2-22-22-1211-1-2-22-1-1111-22-22-2211-1-111-1-1-100−i3i3001-11-1−i3−i3i3i3i3−i300i3i3−i3−i30000-222-20000000000001-1-11i3−i3−i3i3000000
χ4722-22-2-22-22-1211-1-2-22-1-1111-22-22-2211-1-111-1-1-100i3−i3001-11-1i3i3−i3−i3−i3i300−i3−i3i3i300002-2-22000000000000-111-1i3−i3−i3i3000000
χ4822-22-2-22-22-1211-1-2-22-1-1111-22-22-2211-1-111-1-1-100i3−i3001-11-1i3i3−i3−i3−i3i300−i3−i3i3i30000-222-20000000000001-1-11−i3i3i3−i3000000
χ4922-2-222-2-2222-2-222222-222-2-2-22-2-22-2-2-2-2222-220000002-2-2200000000000022-2-200000000220000-2-200000000000000
χ5022-2-222-2-2222-2-222222-222-2-2-22-2-22-2-2-2-2222-220000002-2-22000000000000-2-22200000000-2-200002200000000000000
χ5122-2-222-2-222-1-2-22-1-1-1-1-222-211-111-11111-1-1-1-220000−i3i3-111-1−i3i3−i3i300−i3i3−i3i3−i3i322-2-200000000-1-1−i3i3−i3i31100000000000000
χ5222-2-222-2-222-1-2-22-1-1-1-1-222-211-111-11111-1-1-1-220000−i3i3-111-1−i3i3−i3i300−i3i3−i3i3−i3i3-2-2220000000011i3−i3i3−i3-1-100000000000000
χ5322-2-222-2-222-1-2-22-1-1-1-1-222-211-111-11111-1-1-1-220000i3−i3-111-1i3−i3i3−i300i3−i3i3−i3i3−i322-2-200000000-1-1i3−i3i3−i31100000000000000
χ5422-2-222-2-222-1-2-22-1-1-1-1-222-211-111-11111-1-1-1-220000i3−i3-111-1i3−i3i3−i300i3−i3i3−i3i3−i3-2-2220000000011−i3i3−i3i3-1-100000000000000
χ5522-2-2-2222-222-2-222222-22-22-2-2-222-2-2-2-2-22222-2000000-222-20000000000002-2-22000000002-20000-2200000000000000
χ5622-2-2-2222-222-2-222222-22-22-2-2-222-2-2-2-2-22222-2000000-222-2000000000000-222-200000000-2200002-200000000000000
χ5722-2-2-2222-22-1-2-22-1-1-1-1-22-22111-1-111111-1-1-12-20000−i3i31-1-11−i3i3−i3i300i3−i3i3−i3i3−i32-2-2200000000-11−i3i3i3−i31-100000000000000
χ5822-2-2-2222-22-1-2-22-1-1-1-1-22-22111-1-111111-1-1-12-20000−i3i31-1-11−i3i3−i3i300i3−i3i3−i3i3−i3-222-2000000001-1i3−i3−i3i3-1100000000000000
χ5922-2-2-2222-22-1-2-22-1-1-1-1-22-22111-1-111111-1-1-12-20000i3−i31-1-11i3−i3i3−i300−i3i3−i3i3−i3i32-2-2200000000-11i3−i3−i3i31-100000000000000
χ6022-2-2-2222-22-1-2-22-1-1-1-1-22-22111-1-111111-1-1-12-20000i3−i31-1-11i3−i3i3−i300−i3i3−i3i3−i3i3-222-2000000001-1−i3i3i3−i3-1100000000000000
χ61444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111-2-244-2-2-2-211111111-2-2-2-211110000000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111-2-2-4-422221111-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ634444-44-4-4-4-2-2-2-2-2-2-2-21-2-222-2-222221111111224-4-2-2-2-2-1-1-1-111112222-1-1-1-10000000000000000000000000000000000
χ644444-44-4-4-4-2-2-2-2-2-2-2-21-2-222-2-22222111111122-442222-1-1-1-1-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ65444-44-44-4-44-244422-2-2-4-44-4-22-2-222-2-22222-24-4000000-2-2220000000000000000000000000000000000000000000000
χ66444-44-44-4-4-24-2-2-2-4-44-222-224-444-4-4-2-22222-2-22000000-2-2220000000000000000000000000000000000000000000000
χ67444-44-44-4-4-2-2-2-2-222-2122-22-22-2-22211-1-1-1-11-2200000011-1-13-3-3300003-3-330000000000000000000000000000000000
χ68444-44-44-4-4-2-2-2-2-222-2122-22-22-2-22211-1-1-1-11-2200000011-1-1-333-30000-333-30000000000000000000000000000000000
χ69444-4-4-4-4444-244422-2-2-4-4-44-2222-2-2-2-22222-2-4400000022-2-20000000000000000000000000000000000000000000000
χ70444-4-4-4-444-24-2-2-2-4-44-2222-24-4-4-444-2-22222-22-200000022-2-20000000000000000000000000000000000000000000000
χ71444-4-4-4-444-2-2-2-2-222-21222-2-2222-2-211-1-1-1-112-2000000-1-1113-3-330000-333-30000000000000000000000000000000000
χ72444-4-4-4-444-2-2-2-2-222-21222-2-2222-2-211-1-1-1-112-2000000-1-111-333-300003-3-330000000000000000000000000000000000
χ7344-444-4-44-44-2-4-4422-2-24-4442-2-22-2222-2-222-2-4-4000000-22-220000000000000000000000000000000000000000000000
χ7444-444-4-44-4-2-222-222-21-22-2-22-2-22-22-1-111-1-112200−2i32i3001-11-1i3i3−i3−i3−2i32i300i3i3−i3−i30000000000000000000000000000000000
χ7544-444-4-44-4-2-222-222-21-22-2-22-2-22-22-1-111-1-1122002i3−2i3001-11-1−i3−i3i3i32i3−2i300−i3−i3i3i30000000000000000000000000000000000
χ7644-44-4-44-444-2-4-4422-2-24-4-4-42-22-22-222-2-222-2440000002-22-20000000000000000000000000000000000000000000000
χ7744-44-4-44-44-2-222-222-21-22222-22-22-2-1-111-1-11-2-200−2i32i300-11-11i3i3−i3−i32i3−2i300−i3−i3i3i30000000000000000000000000000000000
χ7844-44-4-44-44-2-222-222-21-22222-22-22-2-1-111-1-11-2-2002i3−2i300-11-11−i3−i3i3i3−2i32i300i3i3−i3−i30000000000000000000000000000000000
χ7944-4-444-4-44-2422-2444-22-2-22-4-44-4-442222-2-2-22-2000000-222-20000000000000000000000000000000000000000000000
χ8044-4-444-4-44-2-222-2-2-2-212-2-2222-222-2-1-1-1-11112-20000−2i32i31-1-11i3−i3i3−i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ8144-4-444-4-44-2-222-2-2-2-212-2-2222-222-2-1-1-1-11112-200002i3−2i31-1-11−i3i3−i3i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ8244-4-4-4444-4-2422-2444-22-22-2-4-4-444-42222-2-2-2-220000002-2-220000000000000000000000000000000000000000000000
χ8344-4-4-4444-4-2-222-2-2-2-212-22-2222-2-22-1-1-1-1111-220000−2i32i3-111-1i3−i3i3−i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ8444-4-4-4444-4-2-222-2-2-2-212-22-2222-2-22-1-1-1-1111-2200002i3−2i3-111-1−i3i3−i3i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ858-800000008800-800-880000000000000000-80000000000000000000000000000000000000000000000000000000000
χ868-800000008-400-8−4i34i34-400000000000000−4i34i340000000000000000000000000000000000000000000000000000000000
χ878-800000008-400-84i3−4i34-4000000000000004i3−4i340000000000000000000000000000000000000000000000000000000000
χ888-80000000-48−4i34i3400-8-40000000000−4i34i3000040000000000000000000000000000000000000000000000000000000000
χ898-80000000-484i3−4i3400-8-400000000004i3−4i3000040000000000000000000000000000000000000000000000000000000000
χ908-80000000-4-4−4i34i34−4i34i34200000000002i3−2i36-62i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ918-80000000-4-4−4i34i344i3−4i34200000000002i3−2i3-66−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ928-80000000-4-44i3−4i34−4i34i3420000000000−2i32i3-662i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ938-80000000-4-44i3−4i344i3−4i3420000000000−2i32i36-6−2i32i3-20000000000000000000000000000000000000000000000000000000000

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