Finite Group Databasebeta

← Group #11785491

Character table — Group #11785491

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888446612121212121212121212121212121212121288888824242424242424244444121212121212121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ911111-1-111-1-1111-1-11111-1-1111-1-11-1-1-1-1-1-111-1-1111111i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-11-11-1i−i
χ1011111-1-111-1-1111-1-11111-1-1111-1-11-1-1-1-1-1-111-1-1111111i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-1-1-1111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111-11-11−ii
χ1111111-1-111-1-1111-1-11111-1-1111-1-11-1-1-1-1-1-111-1-1111111−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-11-11-1−ii
χ1211111-1-111-1-1111-1-11111-1-1111-1-11-1-1-1-1-1-111-1-1111111−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-1-1-1111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111-11-11i−i
χ1311111-1-111-1-1111-1-11111-1-1111-1-11-1-1-1-1-1-111-1-111-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-11-11−ii
χ1411111-1-111-1-1111-1-11111-1-1111-1-11-1-1-1-1-1-111-1-111-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-111-1-1-1-11111−ii−ii−i−iii−i−iii-1-1111-11-1i−i
χ1511111-1-111-1-1111-1-11111-1-1111-1-11-1-1-1-1-1-111-1-111-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-11-11i−i
χ1611111-1-111-1-1111-1-11111-1-1111-1-11-1-1-1-1-1-111-1-111-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-111-1-1-1-11111i−ii−iii−i−iii−i−i-1-1111-11-1−ii
χ1722222222-12222-12222-1-122-12-12-1-1-1-1-12-1-1-1-1-1-12-1000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ1822222222-12222-12222-1-122-12-12-1-1-1-1-12-1-1-1-1-1-12-1000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
χ1922222222-12222-12222-1-122-12-12-1-1-1-1-12-1-1-1-1-1-12-10000-2-2-1-1-2-2-2-2-1-11111111111110022220000000000-2-200001111-1-1-1-1000000
χ2022222222-12222-12222-1-122-12-12-1-1-1-1-12-1-1-1-1-1-12-10000-2-2-1-1-2-2-2-2-1-111111111111100-2-2-2-20000000000220000-1-1-1-11111000000
χ212222222-12222-12-1-1-1-122-1-1-1-12-12-1-1-12-122-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ222222222-12222-12-1-1-1-122-1-1-1-12-12-1-1-12-122-1-1-1-1-122222-2-2-1-11111-1-1-2-21111-2-21111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ232222222-12222-12-1-1-1-122-1-1-1-12-12-1-1-12-122-1-1-1-1-12-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2000011111111-2-200111100000000000000
χ242222222-12222-12-1-1-1-122-1-1-1-12-12-1-1-12-122-1-1-1-1-12-2-2-2-2-2-2-1-11111-1-1-2-21111-2-21111-2-20000111111112200-1-1-1-100000000000000
χ2522222-2-22-1-2-222-1-2-222-1-1-2-2-12-1-21-1111-211-1-1112-100002i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii0022-2-200000000002i−2i0000−i−iii-1-111000000
χ2622222-2-22-1-2-222-1-2-222-1-1-2-2-12-1-21-1111-211-1-1112-100002i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii00-2-2220000000000−2i2i0000ii−i−i11-1-1000000
χ2722222-2-22-1-2-222-1-2-222-1-1-2-2-12-1-21-1111-211-1-1112-10000−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i0022-2-20000000000−2i2i0000ii−i−i-1-111000000
χ2822222-2-22-1-2-222-1-2-222-1-1-2-2-12-1-21-1111-211-1-1112-10000−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i00-2-22200000000002i−2i0000−i−iii11-1-1000000
χ2922222-2-2-12-2-22-1211-1-12211-1-121-2-111-21-2-2-1-111-1222222i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii-2-20000-1-1-1-111112i−2i00−i−iii00000000000000
χ3022222-2-2-12-2-22-1211-1-12211-1-121-2-111-21-2-2-1-111-122222−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i-2-20000-1-1-1-11111−2i2i00ii−i−i00000000000000
χ3122222-2-2-12-2-22-1211-1-12211-1-121-2-111-21-2-2-1-111-12-2-2-2-22i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii2200001111-1-1-1-1−2i2i00ii−i−i00000000000000
χ3222222-2-2-12-2-22-1211-1-12211-1-121-2-111-21-2-2-1-111-12-2-2-2-2−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i2200001111-1-1-1-12i−2i00−i−iii00000000000000
χ332222-22-2222-2-222222222222-2-2-22222-2-22-22222-2-2000000-2-20000-2-2000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i000000
χ342222-22-2222-2-222222222222-2-2-22222-2-22-22222-2-2000000-2-20000-2-200000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i000000
χ352222-22-22-12-2-22-12222-1-122-1-21-2-1-1-1-11-2-11-1-1-1-1-2100000011000011−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3002i−2i2i−2i00000000000000003−33−3−ii−ii000000
χ362222-22-22-12-2-22-12222-1-122-1-21-2-1-1-1-11-2-11-1-1-1-1-2100000011000011−i3i3−i3−i3i3i3−i3i3−i3−i3i3i300−2i2i−2i2i0000000000000000−33−33i−ii−i000000
χ372222-22-22-12-2-22-12222-1-122-1-21-2-1-1-1-11-2-11-1-1-1-1-2100000011000011i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3002i−2i2i−2i0000000000000000−33−33−ii−ii000000
χ382222-22-22-12-2-22-12222-1-122-1-21-2-1-1-1-11-2-11-1-1-1-1-2100000011000011i3−i3i3i3−i3−i3i3−i3i3i3−i3−i300−2i2i−2i2i00000000000000003−33−3i−ii−i000000
χ392222-2-2222-22-222-2-22222-2-22-2-22-22-2-222-2222-2-2-2-2000000-220000-22000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i000000
χ402222-2-2222-22-222-2-22222-2-22-2-22-22-2-222-2222-2-2-2-2000000-220000-2200000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i000000
χ412222-2-222-1-22-22-1-2-222-1-1-2-2-1-2121-111-121-1-1-111-210000001-100001-13−333−3−3−33−3−333002i−2i−2i2i0000000000000000i3−i3−i3i3−iii−i000000
χ422222-2-222-1-22-22-1-2-222-1-1-2-2-1-2121-111-121-1-1-111-210000001-100001-13−333−3−3−33−3−33300−2i2i2i−2i0000000000000000−i3i3i3−i3i−i−ii000000
χ432222-2-222-1-22-22-1-2-222-1-1-2-2-1-2121-111-121-1-1-111-210000001-100001-1−33−3−3333−333−3−3002i−2i−2i2i0000000000000000−i3i3i3−i3−iii−i000000
χ442222-2-222-1-22-22-1-2-222-1-1-2-2-1-2121-111-121-1-1-111-210000001-100001-1−33−3−3333−333−3−300−2i2i2i−2i0000000000000000i3−i3−i3i3i−i−ii000000
χ4522-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2000000220000-2-20000000000000000000000000000000000000000002-2-2200
χ4622-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2000000220000-2-2000000000000000000000000000000000000000000-222-200
χ4722-2-22-2-22222-222-2-2-2-2-2-222222-2-22-2-2-2222-2-222-2-20000002-20000-2200000000000000000000000000000000000000000022-2-200
χ4822-2-22-2-22222-222-2-2-2-2-2-222222-2-22-2-2-2222-2-222-2-20000002-20000-22000000000000000000000000000000000000000000-2-22200
χ4922-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-22-22-2-2-2-22222-2-200-2-20000220000000000002-2000022-2-222-2-20000000000000000000000
χ5022-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-22-22-2-2-2-222-2-22200-2-2000022000000000000-220000-2-222-2-2220000000000000000000000
χ5122-2-2-22-2-12-222-12-1-111-2-211-11-212-1-1-1-2-1-221111-1222-2-20011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i32-20000-1-111-1-1110000−i3i3−i3i300000000000000
χ5222-2-2-22-2-12-222-12-1-111-2-211-11-212-1-1-1-2-1-221111-1222-2-20011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i32-20000-1-111-1-1110000i3−i3i3−i300000000000000
χ5322-2-2-22-2-12-222-12-1-111-2-211-11-212-1-1-1-2-1-221111-12-2-2220011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i3-22000011-1-111-1-10000i3−i3i3−i300000000000000
χ5422-2-2-22-2-12-222-12-1-111-2-211-11-212-1-1-1-2-1-221111-12-2-2220011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i3-22000011-1-111-1-10000−i3i3−i3i300000000000000
χ5522-2-2-2-22222-2222-2-2-2-2-2-2222-2-22-22-2-22-22-2-2-2222222-2-200-2200002-2000000000000-22000022-2-2-2-2220000000000000000000000
χ5622-2-2-2-22222-2222-2-2-2-2-2-2222-2-22-22-2-22-22-2-2-22222-2-22200-2200002-20000000000002-20000-2-22222-2-20000000000000000000000
χ5722-2-2-2-22-122-22-121111-2-2-1-1-11-2-1-2-111212-211-1-1-1222-2-2001-13−3−33-11003−33−300−33−33-220000-1-11111-1-100003−3−3300000000000000
χ5822-2-2-2-22-122-22-121111-2-2-1-1-11-2-1-2-111212-211-1-1-1222-2-2001-1−333−3-1100−33−33003−33−3-220000-1-11111-1-10000−333−300000000000000
χ5922-2-2-2-22-122-22-121111-2-2-1-1-11-2-1-2-111212-211-1-1-12-2-222001-13−3−33-11003−33−300−33−332-2000011-1-1-1-1110000−333−300000000000000
χ6022-2-2-2-22-122-22-121111-2-2-1-1-11-2-1-2-111212-211-1-1-12-2-222001-1−333−3-1100−33−33003−33−32-2000011-1-1-1-11100003−3−3300000000000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-200004411-2-2-2-211-2-21111-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-20000-4-41122221122-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ6344444-4-4-2-2-4-44-2-222-2-2-2-2221-2-2221-1-1222211-1-1-2-200004i−4i1-1−2i−2i2i2i1-1−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000000000
χ6444444-4-4-2-2-4-44-2-222-2-2-2-2221-2-2221-1-1222211-1-1-2-20000−4i4i1-12i2i−2i−2i1-12i2i−i−i−i−i−2i−2iiiii000000000000000000000000000000000000
χ654444-44-4-244-4-4-24-2-2-2-244-2-2-22-424-2-2-2-424-4-2-2-2-22-400000022000022000000000000000000000000000000000000000000000000
χ664444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-211122-22111122000000-1-10000-1-1−2i32i3i3i3−i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ674444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-211122-22111122000000-1-10000-1-12i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ684444-4-44-24-44-4-2422-2-24422-22-4-2-4-2224-2-44-2-2222-40000002-200002-2000000000000000000000000000000000000000000000000
χ694444-4-44-2-2-44-4-2-222-2-2-2-222122-221-1-1-2-22-211-1-122000000-110000-1123−23−3−333−232333−3−3000000000000000000000000000000000000
χ704444-4-44-2-2-44-4-2-222-2-2-2-222122-221-1-1-2-22-211-1-122000000-110000-11−232333−3−323−23−3−333000000000000000000000000000000000000
χ7144-4-44444-2-4-4-44-244-4-422-4-4-24-24-2-2-2-2-2-4222222-42000000-2-2000022000000000000000000000000000000000000000000000000
χ7244-4-4444-24-4-4-4-24-2-222-4-422-2-24-24-2-2-242-4-422222-4000000-2-2000022000000000000000000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-2222-1-1-1-122000000110000-1-1003-3-33003-3-33000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-2222-1-1-1-122000000110000-1-100-333-300-333-3000000000000000000000000000000000000
χ7544-4-44-4-44-244-44-2-4-4-4-42244-24-2-42-22224-2-222-2-2-42000000-2200002-2000000000000000000000000000000000000000000000000
χ7644-4-44-4-4-2444-4-242222-4-4-2-2-2-242-4-222-4-24422-2-22-4000000-2200002-2000000000000000000000000000000000000000000000000
χ7744-4-44-4-4-2-244-4-2-2222222-2-21-2-2221-1-12-2-2-2-1-111220000001-10000-11003i−3i−3i3i00−3i3i3i−3i000000000000000000000000000000000000
χ7844-4-44-4-4-2-244-4-2-2222222-2-21-2-2221-1-12-2-2-2-1-111220000001-10000-1100−3i3i3i−3i003i−3i−3i3i000000000000000000000000000000000000
χ7944-4-4-44-44-2-4444-244-4-422-4-4-2-42-4-2-2-2-2242-222224-2000000220000-2-2000000000000000000000000000000000000000000000000
χ8044-4-4-44-4-2-2-444-2-2-2-22222221222-21112-22-2-1-1-1-1-2-2000000-1-1−2i32i3−2i32i31100i3−i3i3−i300i3−i3i3−i3000000000000000000000000000000000000
χ8144-4-4-44-4-2-2-444-2-2-2-22222221222-21112-22-2-1-1-1-1-2-2000000-1-12i3−2i32i3−2i31100−i3i3−i3i300−i3i3−i3i3000000000000000000000000000000000000
χ8244-4-4-4-444-24-444-2-4-4-4-42244-2-4242-222-2-4-2222-2-24-20000002-20000-22000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-2-2222222-2-2122-221-1-1-22-22-1-111-2-2000000-1123−23−23231-100−33−33003−33−3000000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-2-2222222-2-2122-221-1-1-22-22-1-111-2-2000000-11−232323−231-1003−33−300−33−33000000000000000000000000000000000000
χ854-44i−4i00044000-4-4004i−4i4i−4i0040000-40000004i−4i000022−22−2i22i2000000000000000000000000000022−22−2i22i200000000000000000000000000
χ864-44i−4i00044000-4-4004i−4i4i−4i0040000-40000004i−4i0000−22222i2−2i20000000000000000000000000000−22222i2−2i200000000000000000000000000
χ874-44i−4i000-240002-4−2i32i3−2i2i4i−4i23−23-200002−2i32i30000−2i2i23−230022−22−2i22i20000000000000000000000000000−22i2−i2i6−i66−60000000000000000000000
χ884-44i−4i000-240002-4−2i32i3−2i2i4i−4i23−23-200002−2i32i30000−2i2i23−2300−22222i2−2i200000000000000000000000000002−2−i2i2−i6i6−660000000000000000000000
χ894-44i−4i000-240002-42i3−2i3−2i2i4i−4i−2323-2000022i3−2i30000−2i2i−23230022−22−2i22i20000000000000000000000000000−22i2−i2−i6i6−660000000000000000000000
χ904-44i−4i000-240002-42i3−2i3−2i2i4i−4i−2323-2000022i3−2i30000−2i2i−232300−22222i2−2i200000000000000000000000000002−2−i2i2i6−i66−60000000000000000000000
χ914-4−4i4i00044000-4-400−4i4i−4i4i0040000-4000000−4i4i000022−222i2−2i2000000000000000000000000000022−222i2−2i200000000000000000000000000
χ924-4−4i4i00044000-4-400−4i4i−4i4i0040000-4000000−4i4i0000−2222−2i22i20000000000000000000000000000−2222−2i22i200000000000000000000000000
χ934-4−4i4i000-240002-4−2i32i32i−2i−4i4i−2323-200002−2i32i300002i−2i−23230022−222i2−2i20000000000000000000000000000−22−i2i2i6−i6−660000000000000000000000
χ944-4−4i4i000-240002-4−2i32i32i−2i−4i4i−2323-200002−2i32i300002i−2i−232300−2222−2i22i200000000000000000000000000002−2i2−i2−i6i66−60000000000000000000000
χ954-4−4i4i000-240002-42i3−2i32i−2i−4i4i23−23-2000022i3−2i300002i−2i23−230022−222i2−2i20000000000000000000000000000−22−i2i2−i6i66−60000000000000000000000
χ964-4−4i4i000-240002-42i3−2i32i−2i−4i4i23−23-2000022i3−2i300002i−2i23−2300−2222−2i22i200000000000000000000000000002−2i2−i2i6−i6−660000000000000000000000
χ978-88i−8i0008-4000-84008i−8i−4i4i00-400004000000−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-400044−4i34i3−4i4i−4i4i43−4320000-22i3−2i300002i−2i−23230000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-4000444i3−4i3−4i4i−4i4i−434320000-2−2i32i300002i−2i23−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-8400−8i8i4i−4i00-4000040000004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-400044−4i34i34i−4i4i−4i−434320000-22i3−2i30000−2i2i23−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-4000444i3−4i34i−4i4i−4i43−4320000-2−2i32i30000−2i2i−23230000000000000000000000000000000000000000000000000000000000000000

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