Finite Group Databasebeta

← Group #11869407

Character table — Group #11869407

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12222244334666666666666121212121212121222224444444422444444121212121212121248888888812121212
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
χ91111-1-11111-111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-111-1-111-1-111-1-1
χ101111-1-11111-111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-111-1-111
χ111111-1-11111-111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-111-1-11111-1-1
χ121111-1-11111-111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-111-1-111-1-1-1-111
χ131111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111111-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-111-1-1-1-111-111-1
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
χ192222-2-22222-222-2-2-2-22222-2-222-2-222-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-222222-2-2-2-22222-2-2-2-222-2-222222200000000-2-2-2-20000000000002000000000000
χ212-22-22-2002202-222-2-2-2-2-222-20000000022-2-2000000002-2000000000000000i2−i2i2−i2i2−i2i2−i20000
χ222-22-22-2002202-222-2-2-2-2-222-20000000022-2-2000000002-2000000000000000−i2i2−i2i2−i2i2−i2i20000
χ232-22-22-2002202-222-2-2-2-2-222-200000000-2-22200000000-22000000000000000i2−i2i2−i2−i2i2−i2i20000
χ242-22-22-2002202-222-2-2-2-2-222-200000000-2-22200000000-22000000000000000−i2i2−i2i2i2−i2i2−i20000
χ252-22-2-22002202-2-2-222-2-2-22-220000000022-2-200000000-22000000000000000i2−i2−i2i2i2−i2−i2i20000
χ262-22-2-22002202-2-2-222-2-2-22-220000000022-2-200000000-22000000000000000−i2i2i2−i2−i2i2i2−i20000
χ272-22-2-22002202-2-2-222-2-2-22-2200000000-2-222000000002-2000000000000000i2−i2−i2i2−i2i2i2−i20000
χ282-22-2-22002202-2-2-222-2-2-22-2200000000-2-222000000002-2000000000000000−i2i2i2−i2i2−i2−i2i20000
χ292-2-22002-2220-2-200002-22-2002-2002-2002-22-2002i−2i002i−2i002-20000002i−2i002i−2i0000000000000
χ302-2-22002-2220-2-200002-22-2002-2002-2002-22-200−2i2i00−2i2i002-2000000−2i2i00−2i2i0000000000000
χ312-2-22002-2220-2-200002-22-2002-2002-200-22-222i−2i002i−2i0000-2200002i−2i002i−2i000000000000000
χ322-2-22002-2220-2-200002-22-2002-2002-200-22-22−2i2i00−2i2i0000-220000−2i2i00−2i2i000000000000000
χ332-2-2200-22220-2-200002-22-200-2200-22002-22-22i−2i00−2i2i0000-2200002i−2i00−2i2i000000000000000
χ342-2-2200-22220-2-200002-22-200-2200-22002-22-2−2i2i002i−2i0000-220000−2i2i002i−2i000000000000000
χ352-2-2200-22220-2-200002-22-200-2200-2200-22-22002i−2i00−2i2i002-20000002i−2i00−2i2i0000000000000
χ362-2-2200-22220-2-200002-22-200-2200-2200-22-2200−2i2i002i−2i002-2000000−2i2i002i−2i0000000000000
χ37444444441-241-2-2-2-2-2-211-211-2-2-2-211110000000000000000222200000000000000000-1-1-1-1
χ38444444441-241-2-2-2-2-2-211-211-2-2-2-211110000000000000000-2-2-2-2000000000000000001111
χ3944444444-214-2111111-2-21-2-21111-2-2-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-2111111-2-21-2-21111-2-2-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-41-2-41-2-2-2-2-2-211-2112222-1-1-1-100000000000000002-22-200000000000000000-11-11
χ42444444-4-41-2-41-2-2-2-2-2-211-2112222-1-1-1-10000000000000000-22-22000000000000000001-11-1
χ43444444-4-4-21-4-2111111-2-21-2-2-1-1-1-1222200002222-2-2-2-200000000-1-1-1-111110000000000000
χ44444444-4-4-21-4-2111111-2-21-2-2-1-1-1-122220000-2-2-2-22222000000001111-1-1-1-10000000000000
χ454444-4-4441-2-41-22222-211-2-1-1-2-22211-1-1000000000000000022-2-200000000000000000-1-111
χ464444-4-4441-2-41-22222-211-2-1-1-2-22211-1-10000000000000000-2-2220000000000000000011-1-1
χ474444-4-444-21-4-21-1-1-1-11-2-212211-1-1-2-222000022-2-222-2-200000000-1-111-1-1110000000000000
χ484444-4-444-21-4-21-1-1-1-11-2-212211-1-1-2-2220000-2-222-2-2220000000011-1-111-1-10000000000000
χ494444-4-4-4-41-241-22222-211-2-1-122-2-2-1-11100000000000000002-2-2200000000000000000-111-1
χ504444-4-4-4-41-241-22222-211-2-1-122-2-2-1-1110000000000000000-222-2000000000000000001-1-11
χ514444-4-4-4-4-214-21-1-1-1-11-2-2122-1-11122-2-2000022-2-2-2-22200000000-1-11111-1-10000000000000
χ524444-4-4-4-4-214-21-1-1-1-11-2-2122-1-11122-2-20000-2-22222-2-20000000011-1-1-1-1110000000000000
χ5344-4-40000440-440000-44-4-400000000004-4-440000000000000000000000000000000000000
χ5444-4-40000440-440000-44-4-40000000000-444-40000000000000000000000000000000000000
χ554-4-44004-4-2102-13-33-312-2-1001-13-3-220000002i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii0000000000000
χ564-4-44004-4-2102-13-33-312-2-1001-13-3-22000000−2i2i−2i2i−2i2i−2i2i00000000i−ii−ii−ii−i0000000000000
χ574-4-44004-4-2102-1-33-3312-2-1001-1-33-220000002i−2i−2i2i2i−2i−2i2i00000000−iii−i−iii−i0000000000000
χ584-4-44004-4-2102-1-33-3312-2-1001-1-33-22000000−2i2i2i−2i−2i2i2i−2i00000000i−i−iii−i−ii0000000000000
χ594-4-4400-44-2102-13-33-312-2-100-11-332-20000002i−2i2i−2i−2i2i−2i2i00000000−ii−iii−ii−i0000000000000
χ604-4-4400-44-2102-13-33-312-2-100-11-332-2000000−2i2i−2i2i2i−2i2i−2i00000000i−ii−i−ii−ii0000000000000
χ614-4-4400-44-2102-1-33-3312-2-100-113-32-20000002i−2i−2i2i−2i2i2i−2i00000000−iii−ii−i−ii0000000000000
χ624-4-4400-44-2102-1-33-3312-2-100-113-32-2000000−2i2i2i−2i2i−2i−2i2i00000000i−i−ii−iii−i0000000000000
χ6388-8-800002-40-2-4000042-24000000006i−6i00000000000000000000000000000000000000000
χ6488-8-800002-40-2-4000042-2400000000−6i6i00000000000000000000000000000000000000000
χ6588-8-80000-420426-6-66-2-44-2000000000000000000000000000000000000000000000000000
χ6688-8-80000-42042-666-6-2-44-2000000000000000000000000000000000000000000000000000
χ678-88-88-8002-4024-4-4444-2-2-42-20000000000000000000000000000000000000000000000000
χ688-88-88-800-420-4-222-2-2-2442-440000000000000000000000000000000000000000000000000
χ698-88-8-88002-402444-4-44-2-2-4-220000000000000000000000000000000000000000000000000
χ708-88-8-8800-420-4-2-2-222-24424-40000000000000000000000000000000000000000000000000
χ718-8-88008-82-40-240000-4-22400-44002-20000000000000000000000000000000000000000000
χ728-8-8800-882-40-240000-4-224004-400-220000000000000000000000000000000000000000000

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