Finite Group Databasebeta

← Group #11785472

Character table — Group #11785472

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112244444444444444888888888899991212121212121212181824242424242424242424242436364848484872727272
order1244243366668812121212121261224242424242424242244224488882466888812122424242488242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1
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
χ5111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1
χ6111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111
χ7111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-111
χ8111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ911-1-1-1111-1-1111-1-1-111-1-1-1111-1-111-1-111-1-11-11-111-1-1-111-1i−ii−i1-111-1-11-1i−ii−ii−ii−i
χ1011-1-1-1111-1-1111-1-1-111-1-1-1111-1-111-1-111-1-11-11-111-1-1-111-1−ii−ii1-111-1-11-1−ii−ii−ii−ii
χ1111-1-1-1111-1-1111-1-1-111-1-1-1111-1-111-1-111-1-1-11-11-1-111-11-11i−ii−i-11-1-1111-1i−ii−i−ii−ii
χ1211-1-1-1111-1-1111-1-1-111-1-1-1111-1-111-1-111-1-1-11-11-1-111-11-11−ii−ii-11-1-1111-1−ii−iii−ii−i
χ1311-1-1-1111-1-111-11-1-111-1-1-11-1-111-1-11111-1-11-11-1-1-111-111-1i−i−ii1-1-1-111-11i−i−iii−i−ii
χ1411-1-1-1111-1-111-11-1-111-1-1-11-1-111-1-11111-1-11-11-1-1-111-111-1−iii−i1-1-1-111-11−iii−i−iii−i
χ1511-1-1-1111-1-111-11-1-111-1-1-11-1-111-1-11111-1-1-11-1111-1-1-11-11i−i−ii-1111-1-1-11i−i−ii−iii−i
χ1611-1-1-1111-1-111-11-1-111-1-1-11-1-111-1-11111-1-1-11-1111-1-1-11-11−iii−i-1111-1-1-11−iii−ii−i−ii
χ17222222222222222222222222222222-2-2-2-200000000-2-2000000000000-2-200000000
χ18222222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-20000000000002200000000
χ192222-2-222-2-2220022-2-222-2-20000000022222-2-220000-2-22-20000-2200000000000000
χ202222-2-222-2-2220022-2-222-2-2000000002222-222-20000-2-2-2200002-200000000000000
χ212222-2-222-2-2220022-2-222-2-200000000-2-2-2-200002i−2i2i−2i22000000002i−2i2i−2i0000000000
χ222222-2-222-2-2220022-2-222-2-200000000-2-2-2-20000−2i2i−2i2i2200000000−2i2i−2i2i0000000000
χ2322-2-22-222222200-2-2-2-2-2-22-20000000022-2-222-2-200002-2220000-2-200000000000000
χ2422-2-22-222222200-2-2-2-2-2-22-20000000022-2-2-2-22200002-2-2-200002200000000000000
χ2522-2-22-222222200-2-2-2-2-2-22-200000000-2-22200002i−2i−2i2i-22000000002i−2i−2i2i0000000000
χ2622-2-22-222222200-2-2-2-2-2-22-200000000-2-2220000−2i2i2i−2i-2200000000−2i2i2i−2i0000000000
χ2722-2-2-2222-2-2222-2-2-222-2-2-2222-2-222-2-2-2-222000000002-2000000000000-2200000000
χ2822-2-2-2222-2-222-22-2-222-2-2-22-2-222-2-222-2-222000000002-20000000000002-200000000
χ294444441-2-2-21-244-2-2-2-21111-2-2-2-211110000000000000000222200000000-1-1-1-10000
χ304444441-2-2-21-244-2-2-2-21111-2-2-2-211110000000000000000-2-2-2-20000000011110000
χ314444441-2-2-21-2-4-4-2-2-2-211112222-1-1-1-1000000000000000022-2-200000000-1-1110000
χ324444441-2-2-21-2-4-4-2-2-2-211112222-1-1-1-10000000000000000-2-2220000000011-1-10000
χ33444444-2111-21441111-2-2-2-21111-2-2-2-200002222222200-1-10000-1-1-1-1-1-10000000000
χ34444444-2111-21441111-2-2-2-21111-2-2-2-20000-2-2-2-2-2-2-2-2001100001111110000000000
χ35444444-2111-21-4-41111-2-2-2-2-1-1-1-1222200002222-2-2-2-200-1-10000-1-111110000000000
χ36444444-2111-21-4-41111-2-2-2-2-1-1-1-122220000-2-2-2-222220011000011-1-1-1-10000000000
χ374444-4-4-21-1-1-210011-1-1-2-2223i−3i3i−3i000000002-2-222i−2i2i−2i00-1100001-1−ii−ii0000000000
χ384444-4-4-21-1-1-210011-1-1-2-2223i−3i3i−3i00000000-222-2−2i2i−2i2i001-10000-11i−ii−i0000000000
χ394444-4-4-21-1-1-210011-1-1-2-222−3i3i−3i3i000000002-2-22−2i2i−2i2i00-1100001-1i−ii−i0000000000
χ404444-4-4-21-1-1-210011-1-1-2-222−3i3i−3i3i00000000-222-22i−2i2i−2i001-10000-11−ii−ii0000000000
χ4144-4-44-4-2111-2100-1-1-1-122-223i−3i−3i3i0000000022-2-22i−2i−2i2i00-1-1000011−iii−i0000000000
χ4244-4-44-4-2111-2100-1-1-1-122-223i−3i−3i3i00000000-2-222−2i2i2i−2i00110000-1-1i−i−ii0000000000
χ4344-4-44-4-2111-2100-1-1-1-122-22−3i3i3i−3i0000000022-2-2−2i2i2i−2i00-1-1000011i−i−ii0000000000
χ4444-4-44-4-2111-2100-1-1-1-122-22−3i3i3i−3i00000000-2-2222i−2i−2i2i00110000-1-1−iii−i0000000000
χ4544-4-4-441-2221-24-422-2-2-1-1-11-2-22211-1-100000000000000002i−2i2i−2i00000000−ii−ii0000
χ4644-4-4-441-2221-24-422-2-2-1-1-11-2-22211-1-10000000000000000−2i2i−2i2i00000000i−ii−i0000
χ4744-4-4-441-2221-2-4422-2-2-1-1-1122-2-2-1-11100000000000000002i−2i−2i2i00000000−iii−i0000
χ4844-4-4-441-2221-2-4422-2-2-1-1-1122-2-2-1-1110000000000000000−2i2i2i−2i00000000i−i−ii0000
χ4944-4-4-44-21-1-1-214-4-1-111222-211-1-1-2-22200002-22-222-2-200-110000-11-1-1110000000000
χ5044-4-4-44-21-1-1-214-4-1-111222-211-1-1-2-2220000-22-22-2-222001-100001-111-1-10000000000
χ5144-4-4-44-21-1-1-21-44-1-111222-2-1-11122-2-200002-22-2-2-22200-110000-1111-1-10000000000
χ5244-4-4-44-21-1-1-21-44-1-111222-2-1-11122-2-20000-22-2222-2-2001-100001-1-1-1110000000000
χ534-44i−4i004400-4-4004i−4i004i−4i00000000004-44i−4i00000000000000000000000000000000
χ544-44i−4i004400-4-4004i−4i004i−4i0000000000-44−4i4i00000000000000000000000000000000
χ554-4−4i4i004400-4-400−4i4i00−4i4i00000000004-4−4i4i00000000000000000000000000000000
χ564-4−4i4i004400-4-400−4i4i00−4i4i0000000000-444i−4i00000000000000000000000000000000
χ578888-8-82-4442-400-4-44422-2-200000000000000000000000000000000000000000000
χ5888-8-88-82-4-4-42-4004444-2-22-200000000000000000000000000000000000000000000
χ598-88i−8i002-400-2400−4i4i002i−2i00000032−323i2−3i2000000000000000000000000000000000000
χ608-88i−8i002-400-2400−4i4i002i−2i000000−3232−3i23i2000000000000000000000000000000000000
χ618-88i−8i00-426-64-2002i−2i6i−6i−4i4i0000000000000000000000000000000000000000000000
χ628-88i−8i00-42-664-2002i−2i−6i6i−4i4i0000000000000000000000000000000000000000000000
χ638-8−8i8i002-400-24004i−4i00−2i2i00000032−32−3i23i2000000000000000000000000000000000000
χ648-8−8i8i002-400-24004i−4i00−2i2i000000−32323i2−3i2000000000000000000000000000000000000
χ658-8−8i8i00-426-64-200−2i2i−6i6i4i−4i0000000000000000000000000000000000000000000000
χ668-8−8i8i00-42-664-200−2i2i6i−6i4i−4i0000000000000000000000000000000000000000000000

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