Finite Group Databasebeta

← Group #11772493

Character table — Group #11772493

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444488888888888888161616161616161618181818181818183636363636363636727272727272
order1222443366666688441212121224242424242424241212121212121212224488881616161616161616448888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ61111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91-11-1-1111-1-111-1-11-1i−i-1-1111111-1-1-1-1iiii−i−i−i−i1-11-1-1-11111-1-111-1-1i−ii−ii−i
χ101-11-1-1111-1-111-1-11-1i−i-1-1111111-1-1-1-1iiii−i−i−i−i1-11-1-1-111-1-111-1-111i−i−ii−ii
χ111-11-1-1111-1-111-1-11-1i−i-1-1111111-1-1-1-1iiii−i−i−i−i-11-1111-1-1ii−i−i−i−iii−ii-111-1
χ121-11-1-1111-1-111-1-11-1i−i-1-1111111-1-1-1-1iiii−i−i−i−i-11-1111-1-1−i−iiiii−i−i−ii1-1-11
χ131-11-1-1111-1-111-1-11-1−ii-1-1111111-1-1-1-1−i−i−i−iiiii1-11-1-1-11111-1-111-1-1−ii−ii−ii
χ141-11-1-1111-1-111-1-11-1−ii-1-1111111-1-1-1-1−i−i−i−iiiii1-11-1-1-111-1-111-1-111−iii−ii−i
χ151-11-1-1111-1-111-1-11-1−ii-1-1111111-1-1-1-1−i−i−i−iiiii-11-1111-1-1ii−i−i−i−iiii−i1-1-11
χ161-11-1-1111-1-111-1-11-1−ii-1-1111111-1-1-1-1−i−i−i−iiiii-11-1111-1-1−i−iiiii−i−ii−i-111-1
χ1722222222222222-2-2002222-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000
χ1822222222222222-2-2002222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000000000
χ192222-2-2222222220000-2-2-2-2000000000000000022-2-20000i2−i2i2−i2i2−i2i2−i2000000
χ202222-2-2222222220000-2-2-2-2000000000000000022-2-20000−i2i2−i2i2−i2i2−i2i2000000
χ212222-2-2222222220000-2-2-2-20000000000000000-2-22200002−22−2−22−22000000
χ222222-2-2222222220000-2-2-2-20000000000000000-2-2220000−22−222−22−2000000
χ232-22-22-222-2-222-2-2000022-2-200000000000000002-2-220000i2−i2−i2i2i2−i2−i2i2000000
χ242-22-22-222-2-222-2-2000022-2-200000000000000002-2-220000−i2i2i2−i2−i2i2i2−i2000000
χ252-22-22-222-2-222-2-2000022-2-20000000000000000-222-200002−2−22−222−2000000
χ262-22-22-222-2-222-2-2000022-2-20000000000000000-222-20000−222−22−2−22000000
χ272-22-2-2222-2-222-2-2-2200-2-222-2-2-2-22222000000002-22-222-2-200000000000000
χ282-22-2-2222-2-222-2-2-2200-2-222-2-2-2-2222200000000-22-22-2-22200000000000000
χ294444441-21-21-21-244441-21-211-2-211-2-211-2-211-2-20000000000000000000000
χ304444441-21-21-21-244-4-41-21-211-2-211-2-2-1-122-1-1220000000000000000000000
χ314444441-21-21-21-2-4-4001-21-2-1-122-1-1223-3003-3000000000000000000000000
χ324444441-21-21-21-2-4-4001-21-2-1-122-1-122-3300-33000000000000000000000000
χ33444444-21-21-21-214444-21-21-2-211-2-211-2-211-2-2110000000000000000000000
χ34444444-21-21-21-2144-4-4-21-21-2-211-2-21122-1-122-1-10000000000000000000000
χ35444444-21-21-21-21-4-400-21-2122-1-122-1-1003-3003-30000000000000000000000
χ36444444-21-21-21-21-4-400-21-2122-1-122-1-100-3300-330000000000000000000000
χ3744-4-4004444-4-4-4-4000000000000000000000000000022−2222−2200000000000000
χ3844-4-4004444-4-4-4-40000000000000000000000000000−2222−222200000000000000
χ394-44-4-441-2-121-2-124-44i−4i-121-211-2-2-1-122ii−2i−2i−i−i2i2i0000000000000000000000
χ404-44-4-441-2-121-2-124-4−4i4i-121-211-2-2-1-122−i−i2i2iii−2i−2i0000000000000000000000
χ414-44-4-441-2-121-2-12-4400-121-2-1-12211-2-23i−3i00−3i3i000000000000000000000000
χ424-44-4-441-2-121-2-12-4400-121-2-1-12211-2-2−3i3i003i−3i000000000000000000000000
χ434-44-4-44-212-1-212-14-44i−4i2-1-21-2-21122-1-1−2i−2iii2i2i−i−i0000000000000000000000
χ444-44-4-44-212-1-212-14-4−4i4i2-1-21-2-21122-1-12i2i−i−i−2i−2iii0000000000000000000000
χ454-44-4-44-212-1-212-1-44002-1-2122-1-1-2-211003i−3i00−3i3i0000000000000000000000
χ464-44-4-44-212-1-212-1-44002-1-2122-1-1-2-21100−3i3i003i−3i0000000000000000000000
χ474-4-440044-4-4-4-444000000000000000000000000000022−22−222200000000000000
χ484-4-440044-4-4-4-4440000000000000000000000000000−222222−2200000000000000
χ498888-8-82-42-42-42-40000-24-2400000000000000000000000000000000000000
χ508888-8-8-42-42-42-4200004-24-200000000000000000000000000000000000000
χ5188-8-8002-42-4-24-240000000032−320032−3200000000000000000000000000000000
χ5288-8-8002-42-4-24-2400000000−323200−323200000000000000000000000000000000
χ5388-8-800-42-424-24-2000000000032−320032−32000000000000000000000000000000
χ5488-8-800-42-424-24-20000000000−323200−3232000000000000000000000000000000
χ558-88-88-82-4-242-4-2400002-4-2400000000000000000000000000000000000000
χ568-88-88-8-424-2-424-20000-424-200000000000000000000000000000000000000
χ578-8-88002-4-24-242-40000000032−3200−323200000000000000000000000000000000
χ588-8-88002-4-24-242-400000000−32320032−3200000000000000000000000000000000
χ598-8-8800-424-24-2-42000000000032−3200−3232000000000000000000000000000000
χ608-8-8800-424-24-2-420000000000−32320032−32000000000000000000000000000000

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