Finite Group Databasebeta

← Group #10883502

Character table — Group #10883502

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444444446666666688888888888812121212161616161616161616161616161624242424242424244848
order1222223444466666888812121212444488882444448824242424448868812121212122424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ311111111111111111111111111111111-11111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-1-1-111111111-1-1-1-1111-1-11-1-1-1-1-1-111-1-111-1111-1-1-1-111-1-11111-1-1-1-11-1
χ101111111111111111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-111-1-11-111-1-111-1-1-1-11111-1-111-1-1-11
χ111111111111111111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-11-111-1-111-1-111-1-111-1-111-11
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-1-111-111-1-1-1-111-1-1-11-1-1-1-1111111-1-1-1-1-1-111111-1
χ131111111111111111-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-11111-11
χ141111111111111111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-111-1-111-1-1111-1
χ151111111111111111-1-1-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1-1-111-1-11-111-1-111-1-11111-1-111-1-11-1
χ161111111111111111-1-1-1-11111-1-1-1-11111-1-1-111-111-1-1-1-1-1-111-11-1-1-1-1111111-1-11111-1-1-1-1-11
χ172222222-2-2-2-2222220000-2-2-2-2222200000000002i−2i0000-2-200000000002i−2i00000000002i−2i00
χ182222222-2-2-2-2222220000-2-2-2-222220000000000−2i2i0000-2-20000000000−2i2i0000000000−2i2i00
χ192222222-2-2-2-2222220000-2-2-2-2-2-2-2-200000000002i−2i00002200000000002i−2i0000000000−2i2i00
χ202222222-2-2-2-2222220000-2-2-2-2-2-2-2-20000000000−2i2i0000220000000000−2i2i00000000002i−2i00
χ21222222-12222-1-1-1-1-12222-1-1-1-10000000022222222-1-1-1-10000-122-1-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-12222-1-1-1-1000000002-2-2-2-2222-1-1-1-10000-1-2-2-11111-1-111110000000000
χ23222222-12222-1-1-1-1-12222-1-1-1-100000000-22222-2-2-2-1-1-1-100001-2-21-1-1-1-11111110000000000
χ24222222-12222-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-100001221111111-1-1-1-10000000000
χ25222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-100000000222-2-22-2-211110000-12-2-1-1-11111-1-1110000000000
χ26222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-1000000002-2-2222-2-211110000-1-22-111-1-11111-1-10000000000
χ27222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-100000000-222-2-2-222111100001-221-1-111-1-111-1-10000000000
χ28222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-2-222-2221111000012-2111-1-1-1-1-1-1110000000000
χ292222-2-222-2-22222-2-222-2-222-2-222-2-222220000000022-2-22-2-2-2000000000000000000000000
χ302222-2-222-2-22222-2-222-2-222-2-2-2-222-2-2-2-20000000022-2-2-2222000000000000000000000000
χ312222-2-222-2-22222-2-2-2-22222-2-222-2-2-2-2-2-200000000-2-2222-222000000000000000000000000
χ322222-2-222-2-22222-2-2-2-22222-2-2-2-222222200000000-2-222-22-2-2000000000000000000000000
χ332222-2-22-222-2222-2-20000-2-22222-2-2000020000-2000000-2200200-200000000002-200000000
χ342222-2-22-222-2222-2-20000-2-22222-2-20000-200002000000-2200-20020000000000-2200000000
χ352222-2-22-222-2222-2-20000-2-222-2-222000020000-20000002-200200-20000000000-2200000000
χ362222-2-22-222-2222-2-20000-2-222-2-2220000-2000020000002-200-200200000000002-200000000
χ372-2-222-2222-2-2-22-22-200002-22-200002i2i−2i−2i0002i−2i0000000002i−2i0000002i−2i000000002-2000000
χ382-2-222-2222-2-2-22-22-200002-22-200002i2i−2i−2i000−2i2i0000000002i−2i000000−2i2i00000000-22000000
χ392-2-222-2222-2-2-22-22-200002-22-20000−2i−2i2i2i0002i−2i000000000−2i2i0000002i−2i00000000-22000000
χ402-2-222-2222-2-2-22-22-200002-22-20000−2i−2i2i2i000−2i2i000000000−2i2i000000−2i2i000000002-2000000
χ412-2-22-2222-22-2-22-2-2200002-2-2200002i2i−2i−2i02i−2i00000000000−2i2i00002i−2i0000000000002-20000
χ422-2-22-2222-22-2-22-2-2200002-2-2200002i2i−2i−2i0−2i2i00000000000−2i2i0000−2i2i000000000000-220000
χ432-2-22-2222-22-2-22-2-2200002-2-220000−2i−2i2i2i02i−2i000000000002i−2i00002i−2i000000000000-220000
χ442-2-22-2222-22-2-22-2-2200002-2-220000−2i−2i2i2i0−2i2i000000000002i−2i0000−2i2i0000000000002-20000
χ45444444-2-4-4-4-4-2-2-2-2-200002222000000000000004i−4i0000000000000000−2i2i00000000000000
χ46444444-2-4-4-4-4-2-2-2-2-20000222200000000000000−4i4i00000000000000002i−2i00000000000000
χ474444-4-4-24-4-44-2-2-22244-4-4-2-2220000000000000000-2-2220000000000000000000000000000
χ484444-4-4-24-4-44-2-2-222-4-444-2-222000000000000000022-2-20000000000000000000000000000
χ494444-4-4-2-444-4-2-2-222000022-2-20000000040000-40000000000-200200000000000000000000
χ504444-4-4-2-444-4-2-2-222000022-2-200000000-4000040000000000200-200000000000000000000
χ5144-4-400400004-4-40022−220000004-40022−2222−220000000022−22000000000000000000000000000000
χ5244-4-400400004-4-40022−22000000-4400−2222−22220000000022−22000000000000000000000000000000
χ5344-4-400400004-4-400−22220000004-400−2222−222200000000−2222000000000000000000000000000000
χ5444-4-400400004-4-400−2222000000-440022−2222−2200000000−2222000000000000000000000000000000
χ554-44-40040000-4-44000022−220000004i−4i−2i22i22i2−2i2000000000022−220000000000000000000000000000
χ564-44-40040000-4-44000022−22000000−4i4i2i2−2i2−2i22i2000000000022−220000000000000000000000000000
χ574-44-40040000-4-440000−22220000004i−4i2i2−2i2−2i22i20000000000−22220000000000000000000000000000
χ584-44-40040000-4-440000−2222000000−4i4i−2i22i22i2−2i20000000000−22220000000000000000000000000000
χ594-4-444-44-4-444-44-44-40000-44-44000000000000000000000000000000000000000000000000
χ604-4-444-4-244-4-42-22-220000-22-22000000000004i−4i00000000000000000−2i2i0000000000000000
χ614-4-444-4-244-4-42-22-220000-22-2200000000000−4i4i000000000000000002i−2i0000000000000000
χ624-4-444-4-2-4-4442-22-2200002-22-2000000000000000000000000000000000023−23000000000000
χ634-4-444-4-2-4-4442-22-2200002-22-20000000000000000000000000000000000−2323000000000000
χ644-4-44-444-44-44-44-4-440000-444-4000000000000000000000000000000000000000000000000
χ654-4-44-44-24-44-42-222-20000-222-20000000004i−4i00000000000000000−2i2i000000000000000000
χ664-4-44-44-24-44-42-222-20000-222-2000000000−4i4i000000000000000002i−2i000000000000000000
χ674-4-44-44-2-44-442-222-200002-2-2200000000000000000000000000000000000023−230000000000
χ684-4-44-44-2-44-442-222-200002-2-22000000000000000000000000000000000000−23230000000000
χ6988-8-800-40000-4440042−420000000000000000000000−2222000000000000000000000000000000
χ7088-8-800-40000-44400−4242000000000000000000000022−22000000000000000000000000000000
χ718-88-800-4000044-4000042−420000000000000000000000−22220000000000000000000000000000
χ728-88-800-4000044-40000−4242000000000000000000000022−220000000000000000000000000000

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