Finite Group Databasebeta

← Group #11868530

Character table — Group #11868530

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12224444334666666121212121212121212121212121222224444444444444444121212121212121248888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-11-11111-1-1-1-111111-1-1-1-111-1-1
χ6111111-1-111-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-11-11-111111-1-1-1-11-1-1-1-11111-1-111
χ7111111-1-111-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-11-1-1-1-1-111111-1-1-1-1111111-1-1
χ8111111-1-111-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-11-11-1-1-1-1111111111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11-1-1111-1-111-1-111-1-1-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-111-1-1-1-1-111-1-111-11-11
χ111111-1-11111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-111-1-1-111-1-1111-11-1
χ121111-1-11111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11-1-111-1-111-1-111-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-22222222222-2-222-2-2-2-2-2-2222200000000-222-2000000000000-2000000000000
χ192222-2-22222-2222222-2-2-2-222-2-222-2-2-2-2-2-2-2-200000000-222-20000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-20000000000002000000000000
χ2122-2-2002-22202-22-2-2-200002-2002-2000022-2-200002i−2i2i−2i-20020000002i−2i002i−2i0000000000000
χ2222-2-2002-22202-22-2-2-200002-2002-2000022-2-20000−2i2i−2i2i-2002000000−2i2i00−2i2i0000000000000
χ2322-2-2002-22202-22-2-2-200002-2002-20000-2-2222-22-20000200-200002-2002-2000000000000000
χ2422-2-2002-22202-22-2-2-200002-2002-20000-2-222-22-220000200-20000-2200-22000000000000000
χ2522-2-200-222202-22-2-2-20000-2200-22000022-2-22-2-220000200-200002-200-22000000000000000
χ2622-2-200-222202-22-2-2-20000-2200-22000022-2-2-222-20000200-20000-22002-2000000000000000
χ2722-2-200-222202-22-2-2-20000-2200-220000-2-22200002i−2i−2i2i-20020000002i−2i00−2i2i0000000000000
χ2822-2-200-222202-22-2-2-20000-2200-220000-2-2220000−2i2i2i−2i-2002000000−2i2i002i−2i0000000000000
χ292-2-222i−2i00220-2-2-222-22i2i−2i−2i002i−2i0000002-22-20000000002i−2i000000000000002−2i2−i22−2i2−i20000
χ302-2-222i−2i00220-2-2-222-22i2i−2i−2i002i−2i0000002-22-20000000002i−2i00000000000000−22−i2i2−22−i2i20000
χ312-2-222i−2i00220-2-2-222-22i2i−2i−2i002i−2i000000-22-22000000000−2i2i000000000000002−2i2−i2−22−i2i20000
χ322-2-222i−2i00220-2-2-222-22i2i−2i−2i002i−2i000000-22-22000000000−2i2i00000000000000−22−i2i22−2i2−i20000
χ332-2-22−2i2i00220-2-2-222-2−2i−2i2i2i00−2i2i0000002-22-2000000000−2i2i000000000000002−2−i2i22−2−i2i20000
χ342-2-22−2i2i00220-2-2-222-2−2i−2i2i2i00−2i2i0000002-22-2000000000−2i2i00000000000000−22i2−i2−22i2−i20000
χ352-2-22−2i2i00220-2-2-222-2−2i−2i2i2i00−2i2i000000-22-220000000002i−2i000000000000002−2−i2i2−22i2−i20000
χ362-2-22−2i2i00220-2-2-222-2−2i−2i2i2i00−2i2i000000-22-220000000002i−2i00000000000000−22i2−i22−2−i2i20000
χ37444444441-241-2-21-21-2-2-2-21111-2-211-2-20000000000000000222200000000000000000-1-1-1-1
χ38444444441-241-2-21-21-2-2-2-21111-2-211-2-20000000000000000-2-2-2-2000000000000000001111
χ3944444444-214-211-21-21111-2-2-2-211-2-21100002222222200000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-211-21-21111-2-2-2-211-2-2110000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-41-2-41-2-21-21-2-2-2-2-1-11122-1-12200000000000000002-22-200000000000000000-1-111
χ42444444-4-41-2-41-2-21-21-2-2-2-2-1-11122-1-1220000000000000000-22-220000000000000000011-1-1
χ43444444-4-4-21-4-211-21-2111122-2-2-1-122-1-1000022-2-222-2-200000000-1-1-1-111110000000000000
χ44444444-4-4-21-4-211-21-2111122-2-2-1-122-1-10000-2-222-2-222000000001111-1-1-1-10000000000000
χ454444-4-4441-2-41-2-21-21222211-1-1-2-2-1-122000000000000000022-2-200000000000000000-11-11
χ464444-4-4441-2-41-2-21-21222211-1-1-2-2-1-1220000000000000000-2-222000000000000000001-11-1
χ474444-4-444-21-4-211-21-2-1-1-1-1-2-2221122-1-100002222-2-2-2-200000000-1-111-1-1110000000000000
χ484444-4-444-21-4-211-21-2-1-1-1-1-2-2221122-1-10000-2-2-2-222220000000011-1-111-1-10000000000000
χ494444-4-4-4-41-241-2-21-212222-1-1-1-12211-2-200000000000000002-2-2200000000000000000-111-1
χ504444-4-4-4-41-241-2-21-212222-1-1-1-12211-2-20000000000000000-222-2000000000000000001-1-11
χ514444-4-4-4-4-214-211-21-2-1-1-1-12222-1-1-2-211000022-2-2-2-22200000000-1-11111-1-10000000000000
χ524444-4-4-4-4-214-211-21-2-1-1-1-12222-1-1-2-2110000-2-22222-2-20000000011-1-1-1-1110000000000000
χ5344-4-4004-4-210-2-112-123i−3i3i−3i-22001-1003i−3i00002-22-22i−2i2i−2i00000000-11−ii-11−ii0000000000000
χ5444-4-4004-4-210-2-112-123i−3i3i−3i-22001-1003i−3i0000-22-22−2i2i−2i2i000000001-1i−i1-1i−i0000000000000
χ5544-4-4004-4-210-2-112-12−3i3i−3i3i-22001-100−3i3i00002-22-2−2i2i−2i2i00000000-11i−i-11i−i0000000000000
χ5644-4-4004-4-210-2-112-12−3i3i−3i3i-22001-100−3i3i0000-22-222i−2i2i−2i000000001-1−ii1-1−ii0000000000000
χ5744-4-400-44-210-2-112-123i−3i3i−3i2-200-1100−3i3i00002-2-222i−2i−2i2i00000000-11−ii1-1i−i0000000000000
χ5844-4-400-44-210-2-112-123i−3i3i−3i2-200-1100−3i3i0000-222-2−2i2i2i−2i000000001-1i−i-11−ii0000000000000
χ5944-4-400-44-210-2-112-12−3i3i−3i3i2-200-11003i−3i00002-2-22−2i2i2i−2i00000000-11i−i1-1−ii0000000000000
χ6044-4-400-44-210-2-112-12−3i3i−3i3i2-200-11003i−3i0000-222-22i−2i−2i2i000000001-1−ii-11i−i0000000000000
χ614-44-40000440-44-4-4-44000000000000004-4-440000000000000000000000000000000000000
χ624-44-40000440-44-4-4-4400000000000000-444-40000000000000000000000000000000000000
χ6388-8-8008-82-4024-4-24-200002-200-44000000000000000000000000000000000000000000000
χ6488-8-800-882-4024-4-24-20000-22004-4000000000000000000000000000000000000000000000
χ658-88-800002-40-2-44-24200000000006i−6i0000000000000000000000000000000000000000000
χ668-88-800002-40-2-44-2420000000000−6i6i0000000000000000000000000000000000000000000
χ678-88-80000-42042-24-2-46-6-66000000000000000000000000000000000000000000000000000
χ688-88-80000-42042-24-2-4-666-6000000000000000000000000000000000000000000000000000
χ698-8-888i−8i002-40-2442-4-2−4i−4i4i4i002i−2i00000000000000000000000000000000000000000000000
χ708-8-888i−8i00-4204-2-2-4242i2i−2i−2i00−4i4i00000000000000000000000000000000000000000000000
χ718-8-88−8i8i002-40-2442-4-24i4i−4i−4i00−2i2i00000000000000000000000000000000000000000000000
χ728-8-88−8i8i00-4204-2-2-424−2i−2i2i2i004i−4i00000000000000000000000000000000000000000000000

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