Finite Group Databasebeta

← Group #11775884

Character table — Group #11775884

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order1222334444666666121212123466612121212121212121212121222444488121212121224242424242424242424242424242424466888812121212121224882424242424242424888861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111i−i111-1-1ii−i−iiiiiii−i−i−i−i−i−i-111ii−i−i11-1-1-1-11-1i−iii−i−iii−i−iii−i−i1-1-11
χ10111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111i−i111-1-1ii−i−iiiiiii−i−i−i−i−i−i-111−i−iii11-1-1-1-1-11i−iii−i−i−i−iii−i−iii-111-1
χ11111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111−ii111-1-1−i−iii−i−i−i−i−i−iiiiiii-111ii−i−i11-1-1-1-1-11−ii−i−iiiii−i−iii−i−i-111-1
χ12111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111−ii111-1-1−i−iii−i−i−i−i−i−iiiiiii-111−i−iii11-1-1-1-11-1−ii−i−iii−i−iii−i−iii1-1-11
χ13111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1i−i111-1-1ii−i−iiiiiii−i−i−i−i−i−i1-1-1ii−i−i-1-111111-1−ii−i−iiiii−i−i−i−iii1-11-1
χ14111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1i−i111-1-1ii−i−iiiiiii−i−i−i−i−i−i1-1-1−i−iii-1-11111-11−ii−i−iii−i−iiiii−i−i-11-11
χ15111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−ii111-1-1−i−iii−i−i−i−i−i−iiiiiii1-1-1ii−i−i-1-11111-11i−iii−i−iii−i−i−i−iii-11-11
χ16111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−ii111-1-1−i−iii−i−i−i−i−i−iiiiiii1-1-1−i−iii-1-111111-1i−iii−i−i−i−iiiii−i−i1-11-1
χ1722222222-2-222222222222-2222-2-2-2-2222222-2-222-2-2-2-200-2-2-2-2-200000000000000002220000-2-222-2-200000000000000000000
χ1822222222-2-222222222222-2222-2-2-2-2222222-2-2-2-2222200-2-2-2-2-20000000000000000-2-2-2000022-2-22200000000000000000000
χ19222222-2-222222222-2-2-2-22-2222-2-222-2-2-2-2-2-2222222-2-200-2-2-2220000000000000000-2220000-2-2-2-22200000000000000000000
χ20222222-2-222222222-2-2-2-22-2222-2-222-2-2-2-2-2-222-2-2-2-22200-2-2-22200000000000000002-2-200002222-2-200000000000000000000
χ2122222-12222-1-1222-12222-12-1-1-12222-1-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000222200000022000000-1-1-1-10000-1-100
χ2222222-12222-1-1222-12222-12-1-1-12222-1-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000-2-2-2-2000000-2-2000000111100001100
χ2322222-12222-1-1222-12222-12-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-21111111111110002222000000-2-2000000-1-1-1-100001100
χ2422222-12222-1-1222-12222-12-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-2111111111111000-2-2-2-20000002200000011110000-1-100
χ2522222-1-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-122-2-2111111110000002i−2i-1-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii0002i2i−2i−2i0000002-2000000−i−iii0000-1100
χ2622222-1-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-122-2-2111111110000002i−2i-1-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii000−2i−2i2i2i000000-22000000ii−i−i00001-100
χ2722222-1-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-122-2-211111111000000−2i2i-1-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i0002i2i−2i−2i000000-22000000−i−iii00001-100
χ2822222-1-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-122-2-211111111000000−2i2i-1-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i000−2i−2i2i2i0000002-2000000ii−i−i0000-1100
χ292222-12222222-1-1-12-1-1-1-1-12-1-1-1-1-1-1-122-1-1-1-122222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-10000-1-1-1-1-1-10022-1-1-1-1000000000000
χ302222-12222222-1-1-12-1-1-1-1-12-1-1-1-1-1-1-122-1-1-1-122222222-2-22-1-1-1-11111-2-21111-2-211112-1-10000-1-1-1-1-1-100-2-21111000000000000
χ312222-12222222-1-1-12-1-1-1-1-12-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-2222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-211000011111100-2-21111000000000000
χ322222-12222222-1-1-12-1-1-1-1-12-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-2-2-22-1-1-1-11111-2-21111-2-21111-21100001111110022-1-1-1-1000000000000
χ332222-1222-2-222-1-1-12-1-1-1-1-1-2-1-1-1111122-1-1-1-1-2-222-2-2-2-200-21111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i32-1-1000011-1-1110000−i3i3−i3i3000000000000
χ342222-1222-2-222-1-1-12-1-1-1-1-1-2-1-1-1111122-1-1-1-1-2-222-2-2-2-200-21111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i32-1-1000011-1-1110000i3−i3i3−i3000000000000
χ352222-1222-2-222-1-1-12-1-1-1-1-1-2-1-1-1111122-1-1-1-1-2-2-2-2222200-21111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2110000-1-111-1-10000i3−i3i3−i3000000000000
χ362222-1222-2-222-1-1-12-1-1-1-1-1-2-1-1-1111122-1-1-1-1-2-2-2-2222200-21111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2110000-1-111-1-10000−i3i3−i3i3000000000000
χ372222-12-2-22222-1-1-121111-1-2-1-1-111-1-1-2-21111222222-2-200-211-1-13−3−330033−3−300−3−333-2-1-100001111-1-100003−3−33000000000000
χ382222-12-2-22222-1-1-121111-1-2-1-1-111-1-1-2-21111222222-2-200-211-1-1−333−300−3−3330033−3−3-2-1-100001111-1-10000−333−3000000000000
χ392222-12-2-22222-1-1-121111-1-2-1-1-111-1-1-2-2111122-2-2-2-22200-211-1-13−3−330033−3−300−3−3332110000-1-1-1-1110000−333−3000000000000
χ402222-12-2-22222-1-1-121111-1-2-1-1-111-1-1-2-2111122-2-2-2-22200-211-1-1−333−300−3−3330033−3−32110000-1-1-1-11100003−3−33000000000000
χ412222-12-2-2-2-222-1-1-121111-12-1-1-1-1-111-2-21111-2-222-2-2222i−2i2-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii-2-1-10000-1-11111002i−2i−i−iii000000000000
χ422222-12-2-2-2-222-1-1-121111-12-1-1-1-1-111-2-21111-2-222-2-222−2i2i2-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i-2-1-10000-1-1111100−2i2iii−i−i000000000000
χ432222-12-2-2-2-222-1-1-121111-12-1-1-1-1-111-2-21111-2-2-2-222-2-22i−2i2-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii211000011-1-1-1-100−2i2iii−i−i000000000000
χ442222-12-2-2-2-222-1-1-121111-12-1-1-1-1-111-2-21111-2-2-2-222-2-2−2i2i2-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i211000011-1-1-1-1002i−2i−i−iii000000000000
χ4522-2-2222i−2i002-22-2-2-22i2i−2i−2i202-2-200002i−2i2i2i−2i−2i00002-22i−2i000000000000000000000000001+i−1−i1−i−1+i2i−2i002-2000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ4622-2-2222i−2i002-22-2-2-22i2i−2i−2i202-2-200002i−2i2i2i−2i−2i00002-22i−2i00000000000000000000000000−1−i1+i−1+i1−i2i−2i002-200000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ4722-2-2222i−2i002-22-2-2-22i2i−2i−2i202-2-200002i−2i2i2i−2i−2i0000-22−2i2i000000000000000000000000001+i−1−i1−i−1+i−2i2i00-22000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000
χ4822-2-2222i−2i002-22-2-2-22i2i−2i−2i202-2-200002i−2i2i2i−2i−2i0000-22−2i2i00000000000000000000000000−1−i1+i−1+i1−i−2i2i00-2200000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000
χ4922-2-222−2i2i002-22-2-2-2−2i−2i2i2i202-2-20000−2i2i−2i−2i2i2i00002-2−2i2i000000000000000000000000001−i−1+i1+i−1−i−2i2i002-2000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ5022-2-222−2i2i002-22-2-2-2−2i−2i2i2i202-2-20000−2i2i−2i−2i2i2i00002-2−2i2i00000000000000000000000000−1+i1−i−1−i1+i−2i2i002-200000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ5122-2-222−2i2i002-22-2-2-2−2i−2i2i2i202-2-20000−2i2i−2i−2i2i2i0000-222i−2i000000000000000000000000001−i−1+i1+i−1−i2i−2i00-22000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000
χ5222-2-222−2i2i002-22-2-2-2−2i−2i2i2i202-2-20000−2i2i−2i−2i2i2i0000-222i−2i00000000000000000000000000−1+i1−i−1−i1+i2i−2i00-2200000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000
χ5344444-244-4-4-2-2444-24444-2-4-2-2-2-4-4-4-4-2-2-2-2-2-22200000000222220000000000000000000000000000000000000000000000000
χ5444444-2-4-444-2-2444-2-4-4-4-4-2-4-2-2-2-4-444222222-2-200000000222-2-20000000000000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-21111-2-200000044-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ564444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2000000-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-41112222-2-2111122000000002-1-1-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i3000000000000000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-41112222-2-2111122000000002-1-1-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i3000000000000000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-222221-411122-2-222-1-1-1-1-2-2000000002-1-11123−23−232300−3−3330033−3−3000000000000000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-222221-411122-2-222-1-1-1-1-2-2000000002-1-111−232323−230033−3−300−3−333000000000000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2222214111-2-22222-1-1-1-1220000004i−4i-211-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2222214111-2-22222-1-1-1-122000000−4i4i-211-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii000000000000000000000000000000000
χ6344-4-44-24i−4i00-224-4-424i4i−4i−4i-20-2220000−2i2i−2i−2i2i2i00000000000000000000000000000000002+2i−2−2i2−2i−2+2i00000000000000−1−i1+i−1+i1−i00000000
χ6444-4-44-24i−4i00-224-4-424i4i−4i−4i-20-2220000−2i2i−2i−2i2i2i0000000000000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000001+i−1−i1−i−1+i00000000
χ6544-4-44-2−4i4i00-224-4-42−4i−4i4i4i-20-22200002i−2i2i2i−2i−2i00000000000000000000000000000000002−2i−2+2i2+2i−2−2i00000000000000−1+i1−i−1−i1+i00000000
χ6644-4-44-2−4i4i00-224-4-42−4i−4i4i4i-20-22200002i−2i2i2i−2i−2i0000000000000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000001−i−1+i1+i−1−i00000000
χ6744-4-4-244i−4i004-4-222-4−2i−2i2i2i-20-22200004i−4i−2i−2i2i2i00004-44i−4i000000000000000000000000000000−2i2i00-2200000000000000000000
χ6844-4-4-244i−4i004-4-222-4−2i−2i2i2i-20-22200004i−4i−2i−2i2i2i0000-44−4i4i0000000000000000000000000000002i−2i002-200000000000000000000
χ6944-4-4-24−4i4i004-4-222-42i2i−2i−2i-20-2220000−4i4i2i2i−2i−2i00004-4−4i4i0000000000000000000000000000002i−2i00-2200000000000000000000
χ7044-4-4-24−4i4i004-4-222-42i2i−2i−2i-20-2220000−4i4i2i2i−2i−2i0000-444i−4i000000000000000000000000000000−2i2i002-200000000000000000000
χ714-44-444004i−4i-44-44-4-4000040-44-4004i−4i0000004i−4i000000000004i−4i0000000000000000000000000000000000000000000000000
χ724-44-44400−4i4i-44-44-4-4000040-44-400−4i4i000000−4i4i00000000000−4i4i0000000000000000000000000000000000000000000000000
χ734-44-44-2004i−4i2-2-44-420000-202-22004i−4i000000−2i2i00000000000−2i2i0000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11000000000000000000000000000000000
χ744-44-44-2004i−4i2-2-44-420000-202-22004i−4i000000−2i2i00000000000−2i2i0000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11000000000000000000000000000000000
χ754-44-44-200−4i4i2-2-44-420000-202-2200−4i4i0000002i−2i000000000002i−2i0000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11000000000000000000000000000000000
χ764-44-44-200−4i4i2-2-44-420000-202-2200−4i4i0000002i−2i000000000002i−2i0000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11000000000000000000000000000000000
χ774-44-4-24004i−4i-442-22-4−2i32i3−2i32i3-202-2223−23−2i2i00−2i32i3−2i32i34i−4i00000000023−23−2i2i0000000000000000000000000000000000000000000000000
χ784-44-4-24004i−4i-442-22-42i3−2i32i3−2i3-202-22−2323−2i2i002i3−2i32i3−2i34i−4i000000000−2323−2i2i0000000000000000000000000000000000000000000000000
χ794-44-4-2400−4i4i-442-22-4−2i32i3−2i32i3-202-22−23232i−2i00−2i32i3−2i32i3−4i4i000000000−23232i−2i0000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.