Finite Group Databasebeta

← Group #11787280

Character table — Group #11787280

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222244444444488888888888888999916161616161616161818181836363636363636363636363636363636367272
order1222444423366666644666612121212121212122222121212121212121244442444444448888888844
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1
χ41111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1
χ511111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ811111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ9111111-1-1-1111111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-111-1-111-1-111-1-111-1-11-1
χ10111111-1-1-1111111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-111-1-111-1-111-1-1111-1
χ11111111-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11ii−i−i−i−iiiii−i−i−i−iii-11
χ12111111-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11−i−iiiii−i−i−i−iiiii−i−i-11
χ13111111-1-1-111111111-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1-1-1-111-1-111-11
χ14111111-1-1-111111111-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1-11111-1-111-1-1-11
χ15111111-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11ii−i−i−i−iii−i−iiiii−i−i1-1
χ16111111-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11−i−iiiii−i−iii−i−i−i−iii1-1
χ172222-2-222-22222222200-2-2-2-2-2-2-2-2222222220000000022-2-2-2000000000000000000
χ182222-2-222-22222222200-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2222000000000000000000
χ192222-2-2-2-2222222222002222-2-2-2-2-2-2-2-2222200000000-2-2-2-22000000000000000000
χ202222-2-2-2-2222222222002222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2000000000000000000
χ212-22-2002i−2i022-2-222-2-200000000002i2i−2i−2i2-22-2000000002i−2i000000000002−2i2−i22−2i2−i200
χ222-22-2002i−2i022-2-222-2-200000000002i2i−2i−2i2-22-2000000002i−2i00000000000−22−i2i2−22−i2i200
χ232-22-2002i−2i022-2-222-2-200000000002i2i−2i−2i-22-2200000000−2i2i00000000000i2−i2−22−i2i22−200
χ242-22-2002i−2i022-2-222-2-200000000002i2i−2i−2i-22-2200000000−2i2i00000000000−i2i22−2i2−i2−2200
χ252-22-200−2i2i022-2-222-2-20000000000−2i−2i2i2i2-22-200000000−2i2i000000000002−2−i2i22−2−i2i200
χ262-22-200−2i2i022-2-222-2-20000000000−2i−2i2i2i2-22-200000000−2i2i00000000000−22i2−i2−22i2−i200
χ272-22-200−2i2i022-2-222-2-20000000000−2i−2i2i2i-22-22000000002i−2i00000000000i2−i22−2−i2i2−2200
χ282-22-200−2i2i022-2-222-2-20000000000−2i−2i2i2i-22-22000000002i−2i00000000000−i2i2−22i2−i22−200
χ292-2-222-200022-2-2-2-22200000022-2-2000022-2-200000000002-20002i−2i002i−2i0000000000
χ302-2-222-200022-2-2-2-22200000022-2-2000022-2-200000000002-2000−2i2i00−2i2i0000000000
χ312-2-222-200022-2-2-2-22200000022-2-20000-2-2220000000000-220002-200-220000000000
χ322-2-222-200022-2-2-2-22200000022-2-20000-2-2220000000000-22000-22002-20000000000
χ332-2-22-2200022-2-2-2-222000000-2-222000022-2-20000000000-2202i−2i002i−2i000000000000
χ342-2-22-2200022-2-2-2-222000000-2-222000022-2-20000000000-220−2i2i00−2i2i000000000000
χ352-2-22-2200022-2-2-2-222000000-2-2220000-2-22200000000002-202-200-22000000000000
χ362-2-22-2200022-2-2-2-222000000-2-2220000-2-22200000000002-20-22002-2000000000000
χ374444444441-21-21-21-24411-2-21-21-21-21-2000011-2-211-2-200000000000000000000000
χ384444444441-21-21-21-2-4-411-2-21-21-21-21-20000-1-122-1-12200000000000000000000000
χ39444444444-21-21-21-2144-2-211-21-21-21-210000-2-211-2-21100000000000000000000000
χ40444444444-21-21-21-21-4-4-2-211-21-21-21-21000022-1-122-1-100000000000000000000000
χ41444444-4-4-41-21-21-21-24-4-1-1221-21-2-12-12000011-2-2-1-12200000000000000000000000
χ42444444-4-4-41-21-21-21-2-44-1-1221-21-2-12-120000-1-12211-2-200000000000000000000000
χ43444444-4-4-4-21-21-21-214-422-1-1-21-212-12-10000-2-21122-1-100000000000000000000000
χ44444444-4-4-4-21-21-21-21-4422-1-1-21-212-12-1000022-1-1-2-21100000000000000000000000
χ454444-4-444-41-21-21-21-200-1-122-12-121-21-200003-3003-30000000000000000000000000
χ464444-4-444-41-21-21-21-200-1-122-12-121-21-20000-3300-330000000000000000000000000
χ474444-4-444-4-21-21-21-210022-1-12-12-1-21-210000003-3003-300000000000000000000000
χ484444-4-444-4-21-21-21-210022-1-12-12-1-21-21000000-3300-3300000000000000000000000
χ494444-4-4-4-441-21-21-21-20011-2-2-12-12-12-1200003-300-330000000000000000000000000
χ504444-4-4-4-441-21-21-21-20011-2-2-12-12-12-120000-33003-30000000000000000000000000
χ514444-4-4-4-44-21-21-21-2100-2-2112-12-12-12-10000003-300-3300000000000000000000000
χ524444-4-4-4-44-21-21-21-2100-2-2112-12-12-12-1000000-33003-300000000000000000000000
χ5344-4-4000004444-4-4-4-4000000000000004-4-440000000000000000000000000000000
χ5444-4-4000004444-4-4-4-400000000000000-444-40000000000000000000000000000000
χ5588-8-8000002-42-4-24-24006-6000000000000000000000000000000000000000000000
χ5688-8-8000002-42-4-24-2400-66000000000000000000000000000000000000000000000
χ5788-8-800000-42-424-24-200006-60000000000000000000000000000000000000000000
χ5888-8-800000-42-424-24-20000-660000000000000000000000000000000000000000000
χ598-88-8008i−8i02-4-242-4-2400000000002i−4i−2i4i00000000000000000000000000000000000
χ608-88-8008i−8i0-424-2-424-20000000000−4i2i4i−2i00000000000000000000000000000000000
χ618-88-800−8i8i02-4-242-4-240000000000−2i4i2i−4i00000000000000000000000000000000000
χ628-88-800−8i8i0-424-2-424-200000000004i−2i−4i2i00000000000000000000000000000000000
χ638-8-888-80002-4-24-242-40000002-4-24000000000000000000000000000000000000000
χ648-8-888-8000-424-24-2-42000000-424-2000000000000000000000000000000000000000
χ658-8-88-880002-4-24-242-4000000-242-4000000000000000000000000000000000000000
χ668-8-88-88000-424-24-2-420000004-2-42000000000000000000000000000000000000000

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