Finite Group Databasebeta

← Group #11789874

Character table — Group #11789874

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112244444444444444888888888899991212121212121212181824242424242424242424242436364848484872727272
order12224433666666881212121212122424242424242424222244448888444444121212122424242488121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ811111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ91-1-111-111-11-1-1-11i−i-1-1111-1ii−i−iii−i−i1-11-1i−ii−i11-1-11-1i−i1-1ii−i−i11-1-1i−ii−i1-11-1i−i
χ101-1-111-111-11-1-1-11i−i-1-1111-1ii−i−iii−i−i1-11-1i−ii−i11-1-11-1−ii-11ii−i−i11-1-1i−i−ii-11-11−ii
χ111-1-111-111-11-1-1-11i−i-1-1111-1ii−i−iii−i−i1-11-1−ii−ii-1-1111-1i−i1-1−i−iii-1-111i−ii−i1-1-11−ii
χ121-1-111-111-11-1-1-11i−i-1-1111-1ii−i−iii−i−i1-11-1−ii−ii-1-1111-1−ii-11−i−iii-1-111i−i−ii-111-1i−i
χ131-1-111-111-11-1-1-11−ii-1-1111-1−i−iii−i−iii1-11-1i−ii−i-1-1111-1i−i-11ii−i−i-1-111−iii−i-111-1−ii
χ141-1-111-111-11-1-1-11−ii-1-1111-1−i−iii−i−iii1-11-1i−ii−i-1-1111-1−ii1-1ii−i−i-1-111−ii−ii1-1-11i−i
χ151-1-111-111-11-1-1-11−ii-1-1111-1−i−iii−i−iii1-11-1−ii−ii11-1-11-1i−i-11−i−iii11-1-1−iii−i-11-11i−i
χ161-1-111-111-11-1-1-11−ii-1-1111-1−i−iii−i−iii1-11-1−ii−ii11-1-11-1−ii1-1−i−iii11-1-1−ii−ii1-11-1−ii
χ17222222222222222222222222222222-2-2-2-200000000-2-2000000000000-2-200000000
χ1822222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-20000000000002200000000
χ192222-2-22222222200-2-2-2-2-2-200000000222222-2-20000-2-200002-22-200000000000000
χ202222-2-22222222200-2-2-2-2-2-2000000002222-2-2220000-2-20000-22-2200000000000000
χ212222-2-22222222200-2-2-2-2-2-200000000-2-2-2-200002i−2i2i−2i22000000002i−2i2i−2i0000000000
χ222222-2-22222222200-2-2-2-2-2-200000000-2-2-2-20000−2i2i−2i2i2200000000−2i2i−2i2i0000000000
χ232-2-222-222-22-2-2-222i−2i-2-2222-22i2i−2i−2i2i2i−2i−2i-22-2200000000-22000000000000−2i2i00000000
χ242-2-222-222-22-2-2-22−2i2i-2-2222-2−2i−2i2i2i−2i−2i2i2i-22-2200000000-220000000000002i−2i00000000
χ252-2-22-2222-22-2-2-220022-2-2-22000000002-22-22i−2i−2i2i0000-2200002i−2i−2i2i00000000000000
χ262-2-22-2222-22-2-2-220022-2-2-22000000002-22-2−2i2i2i−2i0000-220000−2i2i2i−2i00000000000000
χ272-2-22-2222-22-2-2-220022-2-2-2200000000-22-2200002i−2i−2i2i2-2000000002i−2i−2i2i0000000000
χ282-2-22-2222-22-2-2-220022-2-2-2200000000-22-220000−2i2i2i−2i2-200000000−2i2i2i−2i0000000000
χ294444441-21-2-2-21144-2-2-2-211-2-2-2-211110000000000000022220000000000-1-1-1-10000
χ304444441-21-2-2-21144-2-2-2-211-2-2-2-2111100000000000000-2-2-2-2000000000011110000
χ314444441-21-2-2-211-4-4-2-2-2-2112222-1-1-1-10000000000000022-2-20000000000-1-1110000
χ324444441-21-2-2-211-4-4-2-2-2-2112222-1-1-1-100000000000000-2-222000000000011-1-10000
χ33444444-21-2111-2-2441111-2-21111-2-2-2-2000022222222000000-1-1-1-1-1-1-1-10000000000
χ34444444-21-2111-2-2441111-2-21111-2-2-2-20000-2-2-2-2-2-2-2-2000000111111110000000000
χ35444444-21-2111-2-2-4-41111-2-2-1-1-1-1222200002222-2-2-2-2000000-1-1-1-111110000000000
χ36444444-21-2111-2-2-4-41111-2-2-1-1-1-122220000-2-2-2-222220000001111-1-1-1-10000000000
χ374444-4-4-21-2111-2-200-1-1-1-1223i−3i3i−3i0000000022-2-22i−2i2i−2i000000-11-11−ii−ii0000000000
χ384444-4-4-21-2111-2-200-1-1-1-1223i−3i3i−3i00000000-2-222−2i2i−2i2i0000001-11-1i−ii−i0000000000
χ394444-4-4-21-2111-2-200-1-1-1-122−3i3i−3i3i0000000022-2-2−2i2i−2i2i000000-11-11i−ii−i0000000000
χ404444-4-4-21-2111-2-200-1-1-1-122−3i3i−3i3i00000000-2-2222i−2i2i−2i0000001-11-1−ii−ii0000000000
χ4144-4-400444-44-4-4-400000000000000004-4-4400000000000000000000000000000000
χ4244-4-400444-44-4-4-40000000000000000-444-400000000000000000000000000000000
χ434-44-40044-4-4-444-4000000000000000044-4-400000000000000000000000000000000
χ444-44-40044-4-4-444-40000000000000000-4-44400000000000000000000000000000000
χ454-4-444-41-2-1-222-114i−4i22-2-21-1−2i−2i2i2iii−i−i000000000000002i−2i2-20000000000−ii-110000
χ464-4-444-41-2-1-222-114i−4i22-2-21-1−2i−2i2i2iii−i−i00000000000000−2i2i-220000000000i−i1-10000
χ474-4-444-41-2-1-222-11−4i4i22-2-21-12i2i−2i−2i−i−iii000000000000002i−2i-220000000000−ii1-10000
χ484-4-444-41-2-1-222-11−4i4i22-2-21-12i2i−2i−2i−i−iii00000000000000−2i2i2-20000000000i−i-110000
χ494-4-444-4-2121-1-12-24i−4i-1-111-22ii−i−i−2i−2i2i2i00002i−2i2i−2i22-2-2000000−i−iii-1-1110000000000
χ504-4-444-4-2121-1-12-24i−4i-1-111-22ii−i−i−2i−2i2i2i0000−2i2i−2i2i-2-222000000ii−i−i11-1-10000000000
χ514-4-444-4-2121-1-12-2−4i4i-1-111-22−i−iii2i2i−2i−2i00002i−2i2i−2i-2-222000000−i−iii11-1-10000000000
χ524-4-444-4-2121-1-12-2−4i4i-1-111-22−i−iii2i2i−2i−2i0000−2i2i−2i2i22-2-2000000ii−i−i-1-1110000000000
χ534-4-44-44-2121-1-12-20011-1-12-23-3-33000000002i−2i−2i2i−2i2i2i−2i000000−iii−ii−i−ii0000000000
χ544-4-44-44-2121-1-12-20011-1-12-23-3-3300000000−2i2i2i−2i2i−2i−2i2i000000i−i−ii−iii−i0000000000
χ554-4-44-44-2121-1-12-20011-1-12-2-333-3000000002i−2i−2i2i2i−2i−2i2i000000−iii−i−iii−i0000000000
χ564-4-44-44-2121-1-12-20011-1-12-2-333-300000000−2i2i2i−2i−2i2i2i−2i000000i−i−iii−i−ii0000000000
χ578888-8-82-42-4-4-422004444-2-200000000000000000000000000000000000000000000
χ5888-8-8002-424-44-2-200000000000032−3232−32000000000000000000000000000000000000
χ5988-8-8002-424-44-2-2000000000000−3232−3232000000000000000000000000000000000000
χ6088-8-800-42-4-22-244006i−6i6i−6i0000000000000000000000000000000000000000000000
χ6188-8-800-42-4-22-24400−6i6i−6i6i0000000000000000000000000000000000000000000000
χ628-88-8002-4-244-42-20000000000003i2−3i2−3i23i2000000000000000000000000000000000000
χ638-88-8002-4-244-42-2000000000000−3i23i23i2−3i2000000000000000000000000000000000000
χ648-88-800-424-2-22-44006i−6i−6i6i0000000000000000000000000000000000000000000000
χ658-88-800-424-2-22-4400−6i6i6i−6i0000000000000000000000000000000000000000000000
χ668-8-88-882-4-2-444-2200-4-444-2200000000000000000000000000000000000000000000

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