Finite Group Databasebeta

← Group #11797391

Character table — Group #11797391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order124423346688881212121224242424366612121212242424242424242424244444612161624244848484848484848484848484848484844888812121212242424241212161616162424484848484848484824881616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1
χ91111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-11111-1-1-1-111i−ii−i-1-1ii−i−iii−i−i11-1-1i−i
χ101111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1-1111111-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111−ii
χ111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-11111-1-1-1-111−ii−ii-1-1−i−iii−i−iii11-1-1−ii
χ121111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-1-1-1-1111111-1-1-1-1-1-1−iii−i11−i−iiiii−i−i-1-111i−i
χ131111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i1111-1-1-1-1-1-1111111−iii−i-1-1−i−iiiii−i−i-1-111−ii
χ141111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-11111-1-1-1-11111-1-1−ii−ii11−i−iii−i−iii11-1-1i−i
χ151111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii1111-1-1-1-1-1-1111111i−i−ii-1-1ii−i−i−i−iii-1-111i−i
χ161111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−iii−i−i−i−i−i−iiiiiii-1-11111-1-1-1-11111-1-1i−ii−i11ii−i−iii−i−i11-1-1−ii
χ17222222-122-1222222-1-12222-1-12-1-1-12-122-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200000000-1-10022-1-10000-1-1-1-1000000
χ18222222-122-1222222-1-12222-1-12-1-1-12-122-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000001100-2-21100001111000000
χ19222222-122-1222222-1-12222-1-12-1-1-12-122-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-211111111111122002200000000-1-100-2-2-1-100001111000000
χ20222222-122-1222222-1-12222-1-12-1-1-12-122-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-2111111111111-2-200-2-200000000110022110000-1-1-1-1000000
χ21222222-122-1-2-2-2-222-1-1-2-2-2-2-1-12-1-1-12-1-2-2111111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii2200-2-200000000-1-1002i−2i110000−i−iii000000
χ22222222-122-1-2-2-2-222-1-1-2-2-2-2-1-12-1-1-12-1-2-2111111110000-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii-2-20022000000001100−2i2i-1-10000ii−i−i000000
χ23222222-122-1-2-2-2-222-1-1-2-2-2-2-1-12-1-1-12-1-2-2111111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i2200-2-200000000-1-100−2i2i110000ii−i−i000000
χ24222222-122-1-2-2-2-222-1-1-2-2-2-2-1-12-1-1-12-1-2-2111111110000-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i-2-200220000000011002i−2i-1-10000−i−iii000000
χ2522222-122-122222-1-122-1-1-1-1-1-1-12-1-1-12-1-122-1-1-1-1222222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1002200-1-1-1-1-1-1-1-100220000-1-1-1-10000000000
χ2622222-122-122222-1-122-1-1-1-1-1-1-12-1-1-12-1-122-1-1-1-1222222-1-1-2-2-1-11111-2-21111-2-21111002200-1-1-1-1-1-1-1-100-2-2000011110000000000
χ2722222-122-122222-1-122-1-1-1-1-1-1-12-1-1-12-1-122-1-1-1-122-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-2001111111100-2-2000011110000000000
χ2822222-122-122222-1-122-1-1-1-1-1-1-12-1-1-12-1-122-1-1-1-122-2-2-2-2-1-1-2-2-1-11111-2-21111-2-2111100-2-2001111111100220000-1-1-1-10000000000
χ2922222-122-12-2-2-2-2-1-1221111-1-1-12-1-1-1211-2-21111-2-22222-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii00-2-200-1-1-1-11111002i−2i0000−i−iii0000000000
χ3022222-122-12-2-2-2-2-1-1221111-1-1-12-1-1-1211-2-21111-2-22222-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i00-2-200-1-1-1-1111100−2i2i0000ii−i−i0000000000
χ3122222-122-12-2-2-2-2-1-1221111-1-1-12-1-1-1211-2-21111-2-2-2-2-2-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0022001111-1-1-1-100−2i2i0000ii−i−i0000000000
χ3222222-122-12-2-2-2-2-1-1221111-1-1-12-1-1-1211-2-21111-2-2-2-2-2-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0022001111-1-1-1-1002i−2i0000−i−iii0000000000
χ332222-222-22222-2-22222222222-2-222-2-2-2-2222222-2-20000-2-200-2-200000000000000002i−2i002i−2i000000002i−2i00002i−2i00000000000000
χ342222-222-22222-2-22222222222-2-222-2-2-2-2222222-2-20000-2-200-2-20000000000000000−2i2i00−2i2i00000000−2i2i0000−2i2i00000000000000
χ352222-222-222-2-2222222-2-2-2-222-2-222-2-222-2-2-2-2-2-2220000-2-2002200000000000000002i−2i00−2i2i000000002i−2i0000−2i2i00000000000000
χ362222-222-222-2-2222222-2-2-2-222-2-222-2-222-2-2-2-2-2-2220000-2-200220000000000000000−2i2i002i−2i00000000−2i2i00002i−2i00000000000000
χ372222-22-1-22-122-2-222-1-12222-1-1-21-1-1-21-2-2-1-1-1-1-1-11100001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i32i−2i002i−2i00000000−ii0000−ii00003−33−3000000
χ382222-22-1-22-122-2-222-1-12222-1-1-21-1-1-21-2-2-1-1-1-1-1-11100001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−2i2i00−2i2i00000000i−i0000i−i0000−33−33000000
χ392222-22-1-22-122-2-222-1-12222-1-1-21-1-1-21-2-2-1-1-1-1-1-11100001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32i−2i002i−2i00000000−ii0000−ii0000−33−33000000
χ402222-22-1-22-122-2-222-1-12222-1-1-21-1-1-21-2-2-1-1-1-1-1-11100001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3−2i2i00−2i2i00000000i−i0000i−i00003−33−3000000
χ412222-22-1-22-1-2-22222-1-1-2-2-2-2-1-1-21-1-1-2122111111-1-100001100-1-100003−333−3−3−33−3−3332i−2i00−2i2i00000000−ii0000i−i0000i3−i3−i3i3000000
χ422222-22-1-22-1-2-22222-1-1-2-2-2-2-1-1-21-1-1-2122111111-1-100001100-1-100003−333−3−3−33−3−333−2i2i002i−2i00000000i−i0000−ii0000−i3i3i3−i3000000
χ432222-22-1-22-1-2-22222-1-1-2-2-2-2-1-1-21-1-1-2122111111-1-100001100-1-10000−33−3−3333−333−3−32i−2i00−2i2i00000000−ii0000i−i0000−i3i3i3−i3000000
χ442222-22-1-22-1-2-22222-1-1-2-2-2-2-1-1-21-1-1-2122111111-1-100001100-1-10000−33−3−3333−333−3−3−2i2i002i−2i00000000i−i0000−ii0000i3−i3−i3i3000000
χ4522-2-2222-2222i−2i2i−2i-2-2-2-22i2i−2i−2i2222-2-2-2-22i−2i2i−2i2i2i−2i−2i2i−2i00002-2002i−2i00000000000000000000000000000000000000000000002-22i−2i00
χ4622-2-2222-2222i−2i2i−2i-2-2-2-22i2i−2i−2i2222-2-2-2-22i−2i2i−2i2i2i−2i−2i2i−2i00002-2002i−2i0000000000000000000000000000000000000000000000-22−2i2i00
χ4722-2-2222-222−2i2i−2i2i-2-2-2-2−2i−2i2i2i2222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i2i00002-200−2i2i00000000000000000000000000000000000000000000002-2−2i2i00
χ4822-2-2222-222−2i2i−2i2i-2-2-2-2−2i−2i2i2i2222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i2i00002-200−2i2i0000000000000000000000000000000000000000000000-222i−2i00
χ4922-2-2-2222222i−2i−2i2i-2-2-2-22i2i−2i−2i22-2-2-2-222−2i2i2i−2i2i2i−2i−2i−2i2i2i2i−2i−2i-2200−2i2i0000000000000000002-2002i2i−2i−2i22-2-20000000000000000000000
χ5022-2-2-2222222i−2i−2i2i-2-2-2-22i2i−2i−2i22-2-2-2-222−2i2i2i−2i2i2i−2i−2i−2i2i−2i−2i2i2i-2200−2i2i000000000000000000-2200−2i−2i2i2i-2-2220000000000000000000000
χ5122-2-2-222222−2i2i2i−2i-2-2-2-2−2i−2i2i2i22-2-2-2-2222i−2i−2i2i−2i−2i2i2i2i−2i2i2i−2i−2i-22002i−2i000000000000000000-22002i2i−2i−2i-2-2220000000000000000000000
χ5222-2-2-222222−2i2i2i−2i-2-2-2-2−2i−2i2i2i22-2-2-2-2222i−2i−2i2i−2i−2i2i2i2i−2i−2i−2i2i2i-22002i−2i0000000000000000002-200−2i−2i2i2i22-2-20000000000000000000000
χ5322-2-2-2-122-122i−2i−2i2i11-2-2−i−iii-1-11-211-12i−i2i−2i−i−iii−2i2i2i2i−2i−2i1-100i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13002-200−i−iii-1-11100000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ5422-2-2-2-122-122i−2i−2i2i11-2-2−i−iii-1-11-211-12i−i2i−2i−i−iii−2i2i2i2i−2i−2i1-100i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13002-200−i−iii-1-11100000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ5522-2-2-2-122-122i−2i−2i2i11-2-2−i−iii-1-11-211-12i−i2i−2i−i−iii−2i2i−2i−2i2i2i1-100i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300-2200ii−i−i11-1-100000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ5622-2-2-2-122-122i−2i−2i2i11-2-2−i−iii-1-11-211-12i−i2i−2i−i−iii−2i2i−2i−2i2i2i1-100i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300-2200ii−i−i11-1-100000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ5722-2-2-2-122-12−2i2i2i−2i11-2-2ii−i−i-1-11-211-12−ii−2i2iii−i−i2i−2i2i2i−2i−2i1-100−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300-2200−i−iii11-1-100000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ5822-2-2-2-122-12−2i2i2i−2i11-2-2ii−i−i-1-11-211-12−ii−2i2iii−i−i2i−2i2i2i−2i−2i1-100−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300-2200−i−iii11-1-100000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ5922-2-2-2-122-12−2i2i2i−2i11-2-2ii−i−i-1-11-211-12−ii−2i2iii−i−i2i−2i−2i−2i2i2i1-100−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23002-200ii−i−i-1-11100000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ6022-2-2-2-122-12−2i2i2i−2i11-2-2ii−i−i-1-11-211-12−ii−2i2iii−i−i2i−2i−2i−2i2i2i1-100−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23002-200ii−i−i-1-11100000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
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χ6244444-2-24-2-24444-2-2-2-2-2-2-2-211-2-211-2-2-2-2-2-21111-2-2000011-4-411222222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ6344444-2-24-2-2-4-4-4-4-2-2-2-2222211-2-211-2-22222-1-1-1-1220000114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000000000
χ6444444-2-24-2-2-4-4-4-4-2-2-2-2222211-2-211-2-22222-1-1-1-122000011−4i4i-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii000000000000000000000000000000000000
χ654444-4-24-4-2444-4-4-2-244-2-2-2-2-2-22-4-2-22-42244-2-2-2-2-4-400002200220000000000000000000000000000000000000000000000000000
χ664444-4-24-4-24-4-444-2-2442222-2-22-4-2-22-4-2-2-4-422224400002200-2-20000000000000000000000000000000000000000000000000000
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χ684444-4-2-2-4-2-244-4-4-2-2-2-2-2-2-2-21122112222-2-21111220000-1-100-1-100002i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ694444-4-2-2-4-2-2-4-444-2-2-2-2222211221122-2-222-1-1-1-1-2-20000-1-10011000023−23−3−333−232333−3−3000000000000000000000000000000000000
χ704444-4-2-2-4-2-2-4-444-2-2-2-2222211221122-2-222-1-1-1-1-2-20000-1-100110000−232333−3−323−23−3−333000000000000000000000000000000000000
χ7144-4-444-2-44-24i−4i4i−4i-4-4224i4i−4i−4i-2-24-222-424i−4i−2i2i−2i−2i2i2i−2i2i0000-2200−2i2i0000000000000000000000000000000000000000000000000000
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χ7344-4-44-24-4-244i−4i4i−4i22-4-4−2i−2i2i2i-2-2-24222-4−2i2i4i−4i−2i−2i2i2i4i−4i0000-2200−2i2i0000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.