Finite Group Databasebeta

← Group #11870692

Character table — Group #11870692

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12224444334666666121212121212121212121212121244442244444444442444661212121212122888888886121212
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
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-1-1-111-1-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-1-11111-1-111
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1-1-1111111-1-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111-11-111-1-111-1-1-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-11-1111-1-111-1-1-1-1-111-1-111-11-11
χ111111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111-11-1-1-111-1-111-1-1-111-1-1111-11-1
χ121111-1-11111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-11-11-1-111-1-111-111-1-111-1-1-11-11
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
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-222220000000022-2-2000000000000-2000000000000
χ192222-2-22222-2222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-20000000000002000000000000
χ2122-2-2002i−2i22022-2-2-2-20000002i2i−2i−2i00002i2i−2i−2i002-2002i−2i002-20000002-2002i−2i0000000000000
χ2222-2-2002i−2i22022-2-2-2-20000002i2i−2i−2i00002i2i−2i−2i00-2200−2i2i002-2000000-2200−2i2i0000000000000
χ2322-2-2002i−2i22022-2-2-2-20000002i2i−2i−2i0000−2i−2i2i2i2-2002i−2i0000-2200002-2002i−2i000000000000000
χ2422-2-2002i−2i22022-2-2-2-20000002i2i−2i−2i0000−2i−2i2i2i-2200−2i2i0000-220000-2200−2i2i000000000000000
χ2522-2-200−2i2i22022-2-2-2-2000000−2i−2i2i2i00002i2i−2i−2i2-200−2i2i0000-2200002-200−2i2i000000000000000
χ2622-2-200−2i2i22022-2-2-2-2000000−2i−2i2i2i00002i2i−2i−2i-22002i−2i0000-220000-22002i−2i000000000000000
χ2722-2-200−2i2i22022-2-2-2-2000000−2i−2i2i2i0000−2i−2i2i2i002-200−2i2i002-20000002-200−2i2i0000000000000
χ2822-2-200−2i2i22022-2-2-2-2000000−2i−2i2i2i0000−2i−2i2i2i00-22002i−2i002-2000000-22002i−2i0000000000000
χ292-22-22i−2i00220-2-222-2-22i2i−2i−2i2i−2i000000002-22-2000000002i−2i0000000000000002−2i2−i22−2i2−i20000
χ302-22-22i−2i00220-2-222-2-22i2i−2i−2i2i−2i000000002-22-2000000002i−2i000000000000000−22−i2i2−22−i2i20000
χ312-22-22i−2i00220-2-222-2-22i2i−2i−2i2i−2i00000000-22-2200000000−2i2i0000000000000002−2i2−i2−22−i2i20000
χ322-22-22i−2i00220-2-222-2-22i2i−2i−2i2i−2i00000000-22-2200000000−2i2i000000000000000−22−i2i22−2i2−i20000
χ332-22-2−2i2i00220-2-222-2-2−2i−2i2i2i−2i2i000000002-22-200000000−2i2i0000000000000002−2−i2i22−2−i2i20000
χ342-22-2−2i2i00220-2-222-2-2−2i−2i2i2i−2i2i000000002-22-200000000−2i2i000000000000000−22i2−i2−22i2−i20000
χ352-22-2−2i2i00220-2-222-2-2−2i−2i2i2i−2i2i00000000-22-22000000002i−2i0000000000000002−2−i2i2−22i2−i20000
χ362-22-2−2i2i00220-2-222-2-2−2i−2i2i2i−2i2i00000000-22-22000000002i−2i000000000000000−22i2−i22−2−i2i20000
χ37444444441-241-21-21-21111-2-21-21-211-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ38444444441-241-21-21-21111-2-21-21-211-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ3944444444-214-21-21-21-2-2-2-211-21-21-2-2110000000000000000222200000000000000000-1-1-1-1
χ4044444444-214-21-21-21-2-2-2-211-21-21-2-2110000000000000000-2-2-2-2000000000000000001111
χ41444444-4-41-2-41-21-21-21111-2-2-12-12-1-12200002222-2-2-2-200000000-1-1-1-111110000000000000
χ42444444-4-41-2-41-21-21-21111-2-2-12-12-1-1220000-2-2-2-22222000000001111-1-1-1-10000000000000
χ43444444-4-4-21-4-21-21-21-2-2-2-2112-12-122-1-1000000000000000022-2-200000000000000000-1-111
χ44444444-4-4-21-4-21-21-21-2-2-2-2112-12-122-1-10000000000000000-2-2220000000000000000011-1-1
χ454444-4-4441-2-41-21-21-2-1-1-1-1221-21-2-1-122000022-2-222-2-200000000-1-111-1-1110000000000000
χ464444-4-4441-2-41-21-21-2-1-1-1-1221-21-2-1-1220000-2-222-2-2220000000011-1-111-1-10000000000000
χ474444-4-444-21-4-21-21-212222-1-1-21-2122-1-100000000000000002-22-200000000000000000-11-11
χ484444-4-444-21-4-21-21-212222-1-1-21-2122-1-10000000000000000-22-22000000000000000001-11-1
χ494444-4-4-4-41-241-21-21-2-1-1-1-122-12-1211-2-2000022-2-2-2-22200000000-1-11111-1-10000000000000
χ504444-4-4-4-41-241-21-21-2-1-1-1-122-12-1211-2-20000-2-22222-2-20000000011-1-1-1-1110000000000000
χ514444-4-4-4-4-214-21-21-212222-1-12-12-1-2-21100000000000000002-2-2200000000000000000-111-1
χ524444-4-4-4-4-214-21-21-212222-1-12-12-1-2-2110000000000000000-222-2000000000000000001-1-11
χ5344-4-4004i−4i1-201-2-12-123-33-300i−2i−i2i3i−3i0000002-22-22i−2i2i−2i00000000-11-11−ii−ii0000000000000
χ5444-4-4004i−4i1-201-2-12-123-33-300i−2i−i2i3i−3i000000-22-22−2i2i−2i2i000000001-11-1i−ii−i0000000000000
χ5544-4-4004i−4i1-201-2-12-12-33-3300i−2i−i2i−3i3i0000002-2-222i−2i−2i2i00000000-111-1−iii−i0000000000000
χ5644-4-4004i−4i1-201-2-12-12-33-3300i−2i−i2i−3i3i000000-222-2−2i2i2i−2i000000001-1-11i−i−ii0000000000000
χ5744-4-400−4i4i1-201-2-12-123-33-300−i2ii−2i−3i3i0000002-22-2−2i2i−2i2i00000000-11-11i−ii−i0000000000000
χ5844-4-400−4i4i1-201-2-12-123-33-300−i2ii−2i−3i3i000000-22-222i−2i2i−2i000000001-11-1−ii−ii0000000000000
χ5944-4-400−4i4i1-201-2-12-12-33-3300−i2ii−2i3i−3i0000002-2-22−2i2i2i−2i00000000-111-1i−i−ii0000000000000
χ6044-4-400−4i4i1-201-2-12-12-33-3300−i2ii−2i3i−3i000000-222-22i−2i−2i2i000000001-1-11−iii−i0000000000000
χ614-4-440000440-4-4-4-444000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ624-4-440000440-4-4-4-44400000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ6388-8-8008i−8i-420-424-24-2000000−4i2i4i−2i000000000000000000000000000000000000000000000
χ6488-8-800−8i8i-420-424-24-20000004i−2i−4i2i000000000000000000000000000000000000000000000
χ658-88-88i−8i002-40-242-4-242i2i−2i−2i−4i4i0000000000000000000000000000000000000000000000000
χ668-88-88i−8i00-4204-2-424-2−4i−4i4i4i2i−2i0000000000000000000000000000000000000000000000000
χ678-88-8−8i8i002-40-242-4-24−2i−2i2i2i4i−4i0000000000000000000000000000000000000000000000000
χ688-88-8−8i8i00-4204-2-424-24i4i−4i−4i−2i2i0000000000000000000000000000000000000000000000000
χ698-8-8800002-40-24-242-46i−6i−6i6i000000000000000000000000000000000000000000000000000
χ708-8-8800002-40-24-242-4−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ718-8-880000-4204-24-2-420000000000006i−6i00000000000000000000000000000000000000000
χ728-8-880000-4204-24-2-42000000000000−6i6i00000000000000000000000000000000000000000

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