Finite Group Databasebeta

← Group #11789852

Character table — Group #11789852

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888888899991616161616161616181836363636363636363636727272727272
order12224433666666884412121212242424242424242422221212121212121212444444888888444444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1i−ii−i-1-1ii−i−i-1-1i−ii−i
χ4111111111111111111111111111111-1-1-1-111111111-1-1−ii−ii-1-1−i−iii-1-1−ii−ii
χ51111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111
χ71111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i-1-1ii−i−i11−ii−ii
χ81111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii-1-1−i−iii11i−ii−i
χ911111111111111-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-111
χ1011111111111111-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-111-1-1
χ1111111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1i−ii−i11−i−iii-11−iii−i
χ1211111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−ii−ii11ii−i−i-11i−i−ii
χ1311111111111111-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1111-1-1
χ1411111111111111-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-1-111
χ1511111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1i−ii−i11−i−iii1-1i−i−ii
χ1611111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−ii−ii11ii−i−i1-1−iii−i
χ172222-2-2222222220000-2-2-2-200000000222200000000-2-222-2-2000000000000
χ182222-2-2222222220000-2-2-2-200000000222200000000-2-2-2-222000000000000
χ192222-2-2222222220000-2-2-2-200000000-2-2-2-200000000222i−2i−2i2i000000000000
χ202222-2-2222222220000-2-2-2-200000000-2-2-2-20000000022−2i2i2i−2i000000000000
χ212-2-222-222-2-2-2-2222i−2i0022-2-22i2i2i2i−2i−2i−2i−2i2-22-200000000-2200002i−2i0000000000
χ222-2-222-222-2-2-2-2222i−2i0022-2-22i2i2i2i−2i−2i−2i−2i-22-22000000002-20000−2i2i0000000000
χ232-2-222-222-2-2-2-222−2i2i0022-2-2−2i−2i−2i−2i2i2i2i2i2-22-200000000-220000−2i2i0000000000
χ242-2-222-222-2-2-2-222−2i2i0022-2-2−2i−2i−2i−2i2i2i2i2i-22-22000000002-200002i−2i0000000000
χ252-2-22-2222-2-2-2-2220000-2-222000000002-22-2000000002-20000002i−2i2i−2i000000
χ262-2-22-2222-2-2-2-2220000-2-222000000002-22-2000000002-2000000−2i2i−2i2i000000
χ272-2-22-2222-2-2-2-2220000-2-22200000000-22-2200000000-220000002-2-22000000
χ282-2-22-2222-2-2-2-2220000-2-22200000000-22-2200000000-22000000-222-2000000
χ294444441-21-21-21-244441-21-211-2-211-2-2000011-2-211-2-2000000000000000000
χ304444441-21-21-21-244-4-41-21-211-2-211-2-20000-1-122-1-122000000000000000000
χ314444441-21-21-21-2-4-44-41-21-2-1-122-1-122000011-2-2-1-122000000000000000000
χ324444441-21-21-21-2-4-4-441-21-2-1-122-1-1220000-1-12211-2-2000000000000000000
χ33444444-21-21-21-214444-21-21-2-211-2-2110000-2-211-2-211000000000000000000
χ34444444-21-21-21-2144-4-4-21-21-2-211-2-211000022-1-122-1-1000000000000000000
χ35444444-21-21-21-21-4-44-4-21-2122-1-122-1-10000-2-21122-1-1000000000000000000
χ36444444-21-21-21-21-4-4-44-21-2122-1-122-1-1000022-1-1-2-211000000000000000000
χ3744-4-4004444-4-4-4-400000000000000004-4-4400000000000000000000000000
χ3844-4-4004444-4-4-4-40000000000000000-444-400000000000000000000000000
χ394-44-40044-4-444-4-4000000000000000044-4-400000000000000000000000000
χ404-44-40044-4-444-4-40000000000000000-4-44400000000000000000000000000
χ414-4-444-41-2-12-121-24i−4i001-2-12ii−2i−2i−i−i2i2i00003i−3i003-300000000000000000000
χ424-4-444-41-2-12-121-24i−4i001-2-12ii−2i−2i−i−i2i2i0000−3i3i00-3300000000000000000000
χ434-4-444-41-2-12-121-2−4i4i001-2-12−i−i2i2iii−2i−2i00003i−3i00-3300000000000000000000
χ444-4-444-41-2-12-121-2−4i4i001-2-12−i−i2i2iii−2i−2i0000−3i3i003-300000000000000000000
χ454-4-444-4-212-12-1-214i−4i00-212-1−2i−2iii2i2i−i−i0000003i−3i003-3000000000000000000
χ464-4-444-4-212-12-1-214i−4i00-212-1−2i−2iii2i2i−i−i000000−3i3i00-33000000000000000000
χ474-4-444-4-212-12-1-21−4i4i00-212-12i2i−i−i−2i−2iii0000003i−3i00-33000000000000000000
χ484-4-444-4-212-12-1-21−4i4i00-212-12i2i−i−i−2i−2iii000000−3i3i003-3000000000000000000
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
χ558-88-8002-4-242-4-24000000003i2−3i200−3i23i200000000000000000000000000000000
χ568-88-8002-4-242-4-2400000000−3i23i2003i2−3i200000000000000000000000000000000
χ578-88-800-424-2-424-200000000003i2−3i200−3i23i2000000000000000000000000000000
χ588-88-800-424-2-424-20000000000−3i23i2003i2−3i2000000000000000000000000000000
χ598-8-88-882-4-24-242-40000-242-400000000000000000000000000000000000000
χ608-8-88-88-424-24-2-4200004-2-4200000000000000000000000000000000000000

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