Finite Group Databasebeta

← Group #11870538

Character table — Group #11870538

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order1222444433466666612121212121212121212121212124444222244442244444466661212121248888888812121212
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
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111111-1-1-1-111-1-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-11-1-1-1-11111-1-111
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111-1-1-1-1111111-1-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1111-11-111-1-1-1-111-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-111-11-1111-1-1-1-111-1-1-111-1-111-11-11
χ111111-1-11111-1111111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1111-11-1-1-11111-1-1-1-1-111-1-1111-11-1
χ121111-1-11111-1111111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-11-11-1-11111-1-1-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-1-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-11111-1-1-1-1-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-11111-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-111-1-1-1-111-111-1
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
χ192222-2-22222-2222222-2-2-2-2-2-222-2-222-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-222222200000000-2-2-2-20000000000002000000000000
χ2122-2-2002i−2i220-22-22-2-20000002i−2i002i−2i002i2i−2i−2i002-22i−2i00002-20000002-22i−2i000000000000000
χ2222-2-2002i−2i220-22-22-2-20000002i−2i002i−2i002i2i−2i−2i00-22−2i2i00002-2000000-22−2i2i000000000000000
χ2322-2-2002i−2i220-22-22-2-20000002i−2i002i−2i00−2i−2i2i2i2-200002i−2i00-2200002-200002i−2i0000000000000
χ2422-2-2002i−2i220-22-22-2-20000002i−2i002i−2i00−2i−2i2i2i-220000−2i2i00-220000-220000−2i2i0000000000000
χ2522-2-200−2i2i220-22-22-2-2000000−2i2i00−2i2i002i2i−2i−2i2-20000−2i2i00-2200002-20000−2i2i0000000000000
χ2622-2-200−2i2i220-22-22-2-2000000−2i2i00−2i2i002i2i−2i−2i-2200002i−2i00-220000-2200002i−2i0000000000000
χ2722-2-200−2i2i220-22-22-2-2000000−2i2i00−2i2i00−2i−2i2i2i002-2−2i2i00002-20000002-2−2i2i000000000000000
χ2822-2-200−2i2i220-22-22-2-2000000−2i2i00−2i2i00−2i−2i2i2i00-222i−2i00002-2000000-222i−2i000000000000000
χ292-22-22-2002202-2-2-2-2222-2-22-2000000002-22-2000000002-2000000000000000i2−i2i2−i2i2−i2i2−i20000
χ302-22-22-2002202-2-2-2-2222-2-22-2000000002-22-2000000002-2000000000000000−i2i2−i2i2−i2i2−i2i20000
χ312-22-22-2002202-2-2-2-2222-2-22-200000000-22-2200000000-22000000000000000i2−i2i2−i2−i2i2−i2i20000
χ322-22-22-2002202-2-2-2-2222-2-22-200000000-22-2200000000-22000000000000000−i2i2−i2i2i2−i2i2−i20000
χ332-22-2-22002202-2-2-2-22-2-222-22000000002-22-200000000-22000000000000000i2−i2−i2i2i2−i2−i2i20000
χ342-22-2-22002202-2-2-2-22-2-222-22000000002-22-200000000-22000000000000000−i2i2i2−i2−i2i2i2−i20000
χ352-22-2-22002202-2-2-2-22-2-222-2200000000-22-22000000002-2000000000000000i2−i2−i2i2−i2i2i2−i20000
χ362-22-2-22002202-2-2-2-22-2-222-2200000000-22-22000000002-2000000000000000−i2i2i2−i2i2−i2−i2i20000
χ37444444441-241-2-211-2-2-2-2-211-2-2-2-211110000000000000000222200000000000000000-1-1-1-1
χ38444444441-241-2-211-2-2-2-2-211-2-2-2-211110000000000000000-2-2-2-2000000000000000001111
χ3944444444-214-211-2-211111-2-21111-2-2-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-211-2-211111-2-21111-2-2-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-41-2-41-2-211-2-2-2-2-2112222-1-1-1-1000000000000000022-2-200000000000000000-1-111
χ42444444-4-41-2-41-2-211-2-2-2-2-2112222-1-1-1-10000000000000000-2-2220000000000000000011-1-1
χ43444444-4-4-21-4-211-2-211111-2-2-1-1-1-12222000022-2-222-2-200000000-1-111-1-1110000000000000
χ44444444-4-4-21-4-211-2-211111-2-2-1-1-1-122220000-2-222-2-2220000000011-1-111-1-10000000000000
χ454444-4-4441-2-41-2-211-22222-1-1-2-22211-1-100000000000000002-22-200000000000000000-11-11
χ464444-4-4441-2-41-2-211-22222-1-1-2-22211-1-10000000000000000-22-22000000000000000001-11-1
χ474444-4-444-21-4-211-2-21-1-1-1-12211-1-1-2-222000022-2-2-2-22200000000-1-11111-1-10000000000000
χ484444-4-444-21-4-211-2-21-1-1-1-12211-1-1-2-2220000-2-22222-2-20000000011-1-1-1-1110000000000000
χ494444-4-4-4-41-241-2-211-22222-1-122-2-2-1-11100000000000000002-2-2200000000000000000-111-1
χ504444-4-4-4-41-241-2-211-22222-1-122-2-2-1-1110000000000000000-222-2000000000000000001-1-11
χ514444-4-4-4-4-214-211-2-21-1-1-1-122-1-11122-2-200002222-2-2-2-200000000-1-1-1-111110000000000000
χ524444-4-4-4-4-214-211-2-21-1-1-1-122-1-11122-2-20000-2-2-2-22222000000001111-1-1-1-10000000000000
χ5344-4-4004i−4i-21021-1-22-13i−3i3i−3i00i−i3-3−2i2i0000002-22-22i−2i2i−2i00000000-11-11−ii−ii0000000000000
χ5444-4-4004i−4i-21021-1-22-13i−3i3i−3i00i−i3-3−2i2i000000-22-22−2i2i−2i2i000000001-11-1i−ii−i0000000000000
χ5544-4-4004i−4i-21021-1-22-1−3i3i−3i3i00i−i-33−2i2i0000002-2-22−2i2i2i−2i00000000-111-1i−i−ii0000000000000
χ5644-4-4004i−4i-21021-1-22-1−3i3i−3i3i00i−i-33−2i2i000000-222-22i−2i−2i2i000000001-1-11−iii−i0000000000000
χ5744-4-400−4i4i-21021-1-22-13i−3i3i−3i00−ii-332i−2i0000002-2-222i−2i−2i2i00000000-111-1−iii−i0000000000000
χ5844-4-400−4i4i-21021-1-22-13i−3i3i−3i00−ii-332i−2i000000-222-2−2i2i2i−2i000000001-1-11i−i−ii0000000000000
χ5944-4-400−4i4i-21021-1-22-1−3i3i−3i3i00−ii3-32i−2i0000002-22-2−2i2i−2i2i00000000-11-11i−ii−i0000000000000
χ6044-4-400−4i4i-21021-1-22-1−3i3i−3i3i00−ii3-32i−2i000000-22-222i−2i2i−2i000000001-11-1−ii−ii0000000000000
χ614-4-440000440-4-44-44-4000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ624-4-440000440-4-44-44-400000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ6388-8-8008i−8i2-40-2-442-24000000−4i4i002i−2i0000000000000000000000000000000000000000000
χ6488-8-800−8i8i2-40-2-442-240000004i−4i00−2i2i0000000000000000000000000000000000000000000
χ658-88-88-8002-40244-2-2-4-4-4442-20000000000000000000000000000000000000000000000000
χ668-88-88-800-420-4-2-244222-2-2-440000000000000000000000000000000000000000000000000
χ678-88-8-88002-40244-2-2-444-4-4-220000000000000000000000000000000000000000000000000
χ688-88-8-8800-420-4-2-2442-2-2224-40000000000000000000000000000000000000000000000000
χ698-8-8800002-40-24-4-2240000000000006i−6i00000000000000000000000000000000000000000
χ708-8-8800002-40-24-4-224000000000000−6i6i00000000000000000000000000000000000000000
χ718-8-880000-4204-224-4-26i−6i−6i6i000000000000000000000000000000000000000000000000000
χ728-8-880000-4204-224-4-2−6i6i6i−6i000000000000000000000000000000000000000000000000000

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