Finite Group Databasebeta

← Group #11870537

Character table — Group #11870537

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order1222224433466666666666612121212121212124444222244444444444466661212121248888888812121212
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
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-11111-1-1-1-111111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-111111-1-1-1-11-1-1-1-11111-11-11
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1-1-111111-1-1-1-111111-11-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-1-1-1111111111-1-1-1-1-11-11
χ91111-1-11111-111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-1-1-1111-1-1111-1-111-1-1-111-1-111-1-1-111-1
χ101111-1-11111-111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-1-1-111-111-111-1-111-1-1-1-1-111-1-1111-1-11
χ111111-1-11111-111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1111-1-11-1-111-1-111-1-1-111-1-111-111-1
χ121111-1-11111-111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-111-111-1-1-111-1-111-111-1-111-1-11-1-11
χ131111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-111-1-1-1-111-1-111
χ141111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-11111-1-111-1-1
χ151111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-111
χ161111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-111-1-1-1-11111-1-1
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
χ192222-2-22222-222-2-2-2-22222-2-222-2-222-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-222222-2-2-2-22222-2-2-2-222-2-222222200000000-2-2-2-20000000000002000000000000
χ212-22-2002i−2i220-220000-22-2-2002i−2i002i−2i002i2i−2i−2i002-2002i−2i002-20000002-2002i−2i0000000000000
χ222-22-2002i−2i220-220000-22-2-2002i−2i002i−2i002i2i−2i−2i00-2200−2i2i002-2000000-2200−2i2i0000000000000
χ232-22-2002i−2i220-220000-22-2-2002i−2i002i−2i00−2i−2i2i2i2-2002i−2i0000-2200002-2002i−2i000000000000000
χ242-22-2002i−2i220-220000-22-2-2002i−2i002i−2i00−2i−2i2i2i-2200−2i2i0000-220000-2200−2i2i000000000000000
χ252-22-200−2i2i220-220000-22-2-200−2i2i00−2i2i002i2i−2i−2i2-200−2i2i0000-2200002-200−2i2i000000000000000
χ262-22-200−2i2i220-220000-22-2-200−2i2i00−2i2i002i2i−2i−2i-22002i−2i0000-220000-22002i−2i000000000000000
χ272-22-200−2i2i220-220000-22-2-200−2i2i00−2i2i00−2i−2i2i2i002-200−2i2i002-20000002-200−2i2i0000000000000
χ282-22-200−2i2i220-220000-22-2-200−2i2i00−2i2i00−2i−2i2i2i00-22002i−2i002-2000000-22002i−2i0000000000000
χ292-2-222-2002202-222-2-2-2-22-22-2000000002-22-2000000002-2000000000000000i2−i2i2−i2i2−i2i2−i20000
χ302-2-222-2002202-222-2-2-2-22-22-2000000002-22-2000000002-2000000000000000−i2i2−i2i2−i2i2−i2i20000
χ312-2-222-2002202-222-2-2-2-22-22-200000000-22-2200000000-22000000000000000i2−i2i2−i2−i2i2−i2i20000
χ322-2-222-2002202-222-2-2-2-22-22-200000000-22-2200000000-22000000000000000−i2i2−i2i2i2−i2i2−i20000
χ332-2-22-22002202-2-2-222-2-22-2-22000000002-22-200000000-22000000000000000i2−i2−i2i2i2−i2−i2i20000
χ342-2-22-22002202-2-2-222-2-22-2-22000000002-22-200000000-22000000000000000−i2i2i2−i2−i2i2i2−i20000
χ352-2-22-22002202-2-2-222-2-22-2-2200000000-22-22000000002-2000000000000000i2−i2−i2i2−i2i2i2−i20000
χ362-2-22-22002202-2-2-222-2-22-2-2200000000-22-22000000002-2000000000000000−i2i2i2−i2i2−i2−i2i20000
χ37444444441-241-2-2-2-2-2-21-2111-2-2-2-211110000000000000000222200000000000000000-1-1-1-1
χ38444444441-241-2-2-2-2-2-21-2111-2-2-2-211110000000000000000-2-2-2-2000000000000000001111
χ3944444444-214-2111111-21-2-2-21111-2-2-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-2111111-21-2-2-21111-2-2-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-41-2-41-2-2-2-2-2-21-21112222-1-1-1-100000000000000002-22-200000000000000000-11-11
χ42444444-4-41-2-41-2-2-2-2-2-21-21112222-1-1-1-10000000000000000-22-22000000000000000001-11-1
χ43444444-4-4-21-4-2111111-21-2-2-2-1-1-1-1222200002222-2-2-2-200000000-1-1-1-111110000000000000
χ44444444-4-4-21-4-2111111-21-2-2-2-1-1-1-122220000-2-2-2-22222000000001111-1-1-1-10000000000000
χ454444-4-4441-2-41-22222-21-21-1-1-2-22211-1-100000000000000002-2-22000000000000000001-1-11
χ464444-4-4441-2-41-22222-21-21-1-1-2-22211-1-10000000000000000-222-200000000000000000-111-1
χ474444-4-444-21-4-21-1-1-1-11-21-22211-1-1-2-222000022-2-222-2-200000000-1-111-1-1110000000000000
χ484444-4-444-21-4-21-1-1-1-11-21-22211-1-1-2-2220000-2-222-2-2220000000011-1-111-1-10000000000000
χ494444-4-4-4-41-241-22222-21-21-1-122-2-2-1-111000000000000000022-2-20000000000000000011-1-1
χ504444-4-4-4-41-241-22222-21-21-1-122-2-2-1-1110000000000000000-2-22200000000000000000-1-111
χ514444-4-4-4-4-214-21-1-1-1-11-21-222-1-11122-2-2000022-2-2-2-22200000000-1-11111-1-10000000000000
χ524444-4-4-4-4-214-21-1-1-1-11-21-222-1-11122-2-20000-2-22222-2-20000000011-1-1-1-1110000000000000
χ5344-4-40000440-4-400004-4-4400000000004i−4i−4i4i0000000000000000000000000000000000000
χ5444-4-40000440-4-400004-4-440000000000−4i4i4i−4i0000000000000000000000000000000000000
χ554-44-4004i−4i-210213-33-3-1-2-1200i−i3i−3i−2i2i0000002-22-22i−2i2i−2i00000000-11-11−ii−ii0000000000000
χ564-44-4004i−4i-210213-33-3-1-2-1200i−i3i−3i−2i2i000000-22-22−2i2i−2i2i000000001-11-1i−ii−i0000000000000
χ574-44-4004i−4i-21021-33-33-1-2-1200i−i−3i3i−2i2i0000002-2-222i−2i−2i2i00000000-111-1−iii−i0000000000000
χ584-44-4004i−4i-21021-33-33-1-2-1200i−i−3i3i−2i2i000000-222-2−2i2i2i−2i000000001-1-11i−i−ii0000000000000
χ594-44-400−4i4i-210213-33-3-1-2-1200−ii−3i3i2i−2i0000002-22-2−2i2i−2i2i00000000-11-11i−ii−i0000000000000
χ604-44-400−4i4i-210213-33-3-1-2-1200−ii−3i3i2i−2i000000-22-222i−2i2i−2i000000001-11-1−ii−ii0000000000000
χ614-44-400−4i4i-21021-33-33-1-2-1200−ii3i−3i2i−2i0000002-2-22−2i2i2i−2i00000000-111-1i−i−ii0000000000000
χ624-44-400−4i4i-21021-33-33-1-2-1200−ii3i−3i2i−2i000000-222-22i−2i−2i2i000000001-1-11−iii−i0000000000000
χ6388-8-800002-40-240000-4-242000000006-600000000000000000000000000000000000000000
χ6488-8-800002-40-240000-4-24200000000-6600000000000000000000000000000000000000000
χ6588-8-80000-4204-26-6-6624-2-4000000000000000000000000000000000000000000000000000
χ6688-8-80000-4204-2-666-624-2-4000000000000000000000000000000000000000000000000000
χ678-88-8008i−8i2-40-2-40000424-200−4i4i002i−2i0000000000000000000000000000000000000000000
χ688-88-800−8i8i2-40-2-40000424-2004i−4i00−2i2i0000000000000000000000000000000000000000000
χ698-8-888-8002-4024-4-4444-2-4-22-20000000000000000000000000000000000000000000000000
χ708-8-888-800-420-4-222-2-2-2424-440000000000000000000000000000000000000000000000000
χ718-8-88-88002-402444-4-44-2-4-2-220000000000000000000000000000000000000000000000000
χ728-8-88-8800-420-4-2-2-222-24244-40000000000000000000000000000000000000000000000000

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