Finite Group Databasebeta

← Group #11863808

Character table — Group #11863808

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order122244442336666661212121266661212121212122222222244444444444466661212121228888888812121212
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
χ5111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-11-111-1-111-1-111111-1-1-1-11-11-1
χ6111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11-1111-1-111-1-11-1-1-1-11111-11-11
χ7111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-1-1-111-1-1111-1-1-1-111111-11-1
χ8111111-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-11-1-111-1-11111111-1-1-1-1-11-11
χ91111-1-111-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111-1-111-1-1
χ101111-1-111-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-111-1-111-1-111
χ111111-1-111-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-111-1-11111-1-1
χ121111-1-111-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-111-1-1-1-111
χ131111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-2-2222222222222-2-2-2-222-2-2-2-222220000000022-2-2000000000000-2000000000000
χ192222-2-222-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-22222-2-2-2-2-2-2222200000000-2-2-2-20000000000002000000000000
χ212-22-22i−2i00022-22-22-2-22i2i−2i−2i00002i−2i000022-2-2000000002i−2i0000000000000002−2i2−i22−2i2−i20000
χ222-22-22i−2i00022-22-22-2-22i2i−2i−2i00002i−2i000022-2-2000000002i−2i000000000000000−22−i2i2−22−i2i20000
χ232-22-22i−2i00022-22-22-2-22i2i−2i−2i00002i−2i0000-2-22200000000−2i2i0000000000000002−2i2−i2−22−i2i20000
χ242-22-22i−2i00022-22-22-2-22i2i−2i−2i00002i−2i0000-2-22200000000−2i2i000000000000000−22−i2i22−2i2−i20000
χ252-22-2−2i2i00022-22-22-2-2−2i−2i2i2i0000−2i2i000022-2-200000000−2i2i0000000000000002−2−i2i22−2−i2i20000
χ262-22-2−2i2i00022-22-22-2-2−2i−2i2i2i0000−2i2i000022-2-200000000−2i2i000000000000000−22i2−i2−22i2−i20000
χ272-22-2−2i2i00022-22-22-2-2−2i−2i2i2i0000−2i2i0000-2-222000000002i−2i0000000000000002−2−i2i2−22i2−i20000
χ282-22-2−2i2i00022-22-22-2-2−2i−2i2i2i0000−2i2i0000-2-222000000002i−2i000000000000000−22i2−i22−2−i2i20000
χ292-2-22002-2022-2-2-2-222000000000022-2-22-22-200002-22-2002-2000000002-22-20000000000000
χ302-2-22002-2022-2-2-2-222000000000022-2-22-22-20000-22-22002-200000000-22-220000000000000
χ312-2-22002-2022-2-2-2-222000000000022-2-2-22-222-22-2000000-2200002-22-200000000000000000
χ322-2-22002-2022-2-2-2-222000000000022-2-2-22-22-22-22000000-220000-22-2200000000000000000
χ332-2-2200-22022-2-2-2-2220000000000-2-2222-22-22-2-22000000-2200002-2-2200000000000000000
χ342-2-2200-22022-2-2-2-2220000000000-2-2222-22-2-222-2000000-220000-222-200000000000000000
χ352-2-2200-22022-2-2-2-2220000000000-2-222-22-2200002-2-22002-2000000002-2-220000000000000
χ362-2-2200-22022-2-2-2-2220000000000-2-222-22-220000-222-2002-200000000-222-20000000000000
χ374444444441-21-2-211-2-2-2-2-211-2-2111-21-20000000000000000222200000000000000000-1-1-1-1
χ384444444441-21-2-211-2-2-2-2-211-2-2111-21-20000000000000000-2-2-2-2000000000000000001111
χ39444444444-21-211-2-211111-2-211-2-2-21-2100002222222200000000-1-1-1-1-1-1-1-10000000000000
χ40444444444-21-211-2-211111-2-211-2-2-21-210000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-4-41-21-2-211-2-2-2-2-2-1-12211-12-1200000000000000002-22-200000000000000000-11-11
χ42444444-4-4-41-21-2-211-2-2-2-2-2-1-12211-12-120000000000000000-22-22000000000000000001-11-1
χ43444444-4-4-4-21-211-2-21111122-1-1-2-22-12-1000022-2-222-2-200000000-1-111-1-1110000000000000
χ44444444-4-4-4-21-211-2-21111122-1-1-2-22-12-10000-2-222-2-2220000000011-1-111-1-10000000000000
χ454444-4-444-41-21-2-211-22222-1-122-1-11-21-2000000000000000022-2-200000000000000000-1-111
χ464444-4-444-41-21-2-211-22222-1-122-1-11-21-20000000000000000-2-2220000000000000000011-1-1
χ474444-4-444-4-21-211-2-21-1-1-1-122-1-122-21-2100002222-2-2-2-200000000-1-1-1-111110000000000000
χ484444-4-444-4-21-211-2-21-1-1-1-122-1-122-21-210000-2-2-2-22222000000001111-1-1-1-10000000000000
χ494444-4-4-4-441-21-2-211-2222211-2-2-1-1-12-1200000000000000002-2-2200000000000000000-111-1
χ504444-4-4-4-441-21-2-211-2222211-2-2-1-1-12-120000000000000000-222-2000000000000000001-1-11
χ514444-4-4-4-44-21-211-2-21-1-1-1-1-2-211222-12-1000022-2-2-2-22200000000-1-11111-1-10000000000000
χ524444-4-4-4-44-21-211-2-21-1-1-1-1-2-211222-12-10000-2-22222-2-20000000011-1-1-1-1110000000000000
χ5344-4-400000444-44-4-4-4000000000000004-4-440000000000000000000000000000000000000
χ5444-4-400000444-44-4-4-400000000000000-444-40000000000000000000000000000000000000
χ554-4-44004-40-212-1-12-213-33-3003-300-212-100002-22-22-22-200000000-11-11-11-110000000000000
χ564-4-44004-40-212-1-12-213-33-3003-300-212-10000-22-22-22-22000000001-11-11-11-10000000000000
χ574-4-44004-40-212-1-12-21-33-3300-3300-212-100002-22-2-22-2200000000-11-111-11-10000000000000
χ584-4-44004-40-212-1-12-21-33-3300-3300-212-10000-22-222-22-2000000001-11-1-11-110000000000000
χ594-4-4400-440-212-1-12-213-33-300-33002-1-2100002-2-222-2-2200000000-111-1-111-10000000000000
χ604-4-4400-440-212-1-12-213-33-300-33002-1-210000-222-2-222-2000000001-1-111-1-110000000000000
χ614-4-4400-440-212-1-12-21-33-33003-3002-1-2100002-2-22-222-200000000-111-11-1-110000000000000
χ624-4-4400-440-212-1-12-21-33-33003-3002-1-210000-222-22-2-22000000001-1-11-111-10000000000000
χ6388-8-8000002-424-4-2-2400006-60000000000000000000000000000000000000000000000000
χ6488-8-8000002-424-4-2-240000-660000000000000000000000000000000000000000000000000
χ6588-8-800000-42-4-2244-26i−6i−6i6i000000000000000000000000000000000000000000000000000
χ6688-8-800000-42-4-2244-2−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ678-88-88i−8i0002-4-2-442-24−4i−4i4i4i00002i−2i000000000000000000000000000000000000000000000
χ688-88-88i−8i000-4242-2-44-22i2i−2i−2i0000−4i4i000000000000000000000000000000000000000000000
χ698-88-8−8i8i0002-4-2-442-244i4i−4i−4i0000−2i2i000000000000000000000000000000000000000000000
χ708-88-8−8i8i000-4242-2-44-2−2i−2i2i2i00004i−4i000000000000000000000000000000000000000000000
χ718-8-88008-802-4-244-22-400000000002-4-2400000000000000000000000000000000000000000
χ728-8-8800-8802-4-244-22-40000000000-242-400000000000000000000000000000000000000000

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