Finite Group Databasebeta

← Group #10877166

Character table — Group #10877166

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444444446666666688888888888812121212161616161616161616161616161624242424242424244848
order12222234444666668888121212122222888844444488242424244488881212121212122424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ311111111111111111111111111111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1
χ91111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-11111-1-111-1-1-1-11111-1-1-1-11-1
χ101111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-111-1-111-1-1-11
χ111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-11-1-111-1-1-1-11111-1-111-1-111-11
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-11111-1-111-1-1-1-111111-1
χ131111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11111-1-111-1-1-1-1-1-1-1-11111-11
χ141111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1111-1-111-1-111-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-11-1-111-1-1-1-1111111-1-111-1-11-1
χ161111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-11111-1-1111111-1-1-1-1-11
χ172222222-2-2-2-2222220000-2-2-2-2222200000000002i−2i0000-2-2000000000000002i−2i0000002i−2i00
χ182222222-2-2-2-2222220000-2-2-2-222220000000000−2i2i0000-2-200000000000000−2i2i000000−2i2i00
χ192222222-2-2-2-2222220000-2-2-2-2-2-2-2-200000000002i−2i000022000000000000002i−2i000000−2i2i00
χ202222222-2-2-2-2222220000-2-2-2-2-2-2-2-20000000000−2i2i00002200000000000000−2i2i0000002i−2i00
χ21222222-12222-1-1-1-1-12222-1-1-1-10000000022222222-1-1-1-1000022-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-12222-1-1-1-10000000022-2-2-2-222-1-1-1-10000-2-2-1-111111111-1-10000000000
χ23222222-12222-1-1-1-1-12222-1-1-1-100000000-2-22222-2-2-1-1-1-10000-2-211-1-1-1-11111110000000000
χ24222222-12222-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1000022111111-1-1-1-1110000000000
χ25222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-1000000002222-2-2-2-2111100002-2-1-1-1-111-1-111110000000000
χ26222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-10000000022-2-222-2-211110000-22-1-111-1-111-1-1110000000000
χ27222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-222-2-22211110000-2211-1-11111-1-1-1-10000000000
χ28222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-2-2-22222111100002-21111-1-1-1-111-1-10000000000
χ292222-2-222-2-22222-2-222-2-22-2-2222-2-222220000000022-2-22-2-2-2000000000000000000000000
χ302222-2-222-2-22222-2-222-2-22-2-22-2-222-2-2-2-20000000022-2-2-2222000000000000000000000000
χ312222-2-222-2-22222-2-2-2-2222-2-2222-2-2-2-2-2-200000000-2-2222-222000000000000000000000000
χ322222-2-222-2-22222-2-2-2-2222-2-22-2-222222200000000-2-222-22-2-2000000000000000000000000
χ332222-2-22-222-2222-2-20000-222-222-2-200002-20000000000-2200002-200000000002-200000000
χ342222-2-22-222-2222-2-20000-222-222-2-20000-220000000000-220000-220000000000-2200000000
χ352222-2-22-222-2222-2-20000-222-2-2-22200002-200000000002-200002-20000000000-2200000000
χ362222-2-22-222-2222-2-20000-222-2-2-2220000-2200000000002-20000-2200000000002-200000000
χ372-22-22-22-22-222-2-22-20000-22-22000022-2-200002i−2i000000002-20000002i−2i000000002i−2i000000
χ382-22-22-22-22-222-2-22-20000-22-22000022-2-20000−2i2i000000002-2000000−2i2i00000000−2i2i000000
χ392-22-22-22-22-222-2-22-20000-22-220000-2-22200002i−2i00000000-220000002i−2i00000000−2i2i000000
χ402-22-22-22-22-222-2-22-20000-22-220000-2-2220000−2i2i00000000-22000000−2i2i000000002i−2i000000
χ412-22-2-222-2-2222-2-2-220000-2-222000022-2-2002i−2i0000000000-2200002i−2i0000000000002i−2i0000
χ422-22-2-222-2-2222-2-2-220000-2-222000022-2-200−2i2i0000000000-220000−2i2i000000000000−2i2i0000
χ432-22-2-222-2-2222-2-2-220000-2-2220000-2-222002i−2i00000000002-200002i−2i000000000000−2i2i0000
χ442-22-2-222-2-2222-2-2-220000-2-2220000-2-22200−2i2i00000000002-20000−2i2i0000000000002i−2i0000
χ45444444-2-4-4-4-4-2-2-2-2-200002222000000000000004i−4i00000000000000000000−2i2i0000000000
χ46444444-2-4-4-4-4-2-2-2-2-20000222200000000000000−4i4i000000000000000000002i−2i0000000000
χ474444-4-4-24-4-44-2-2-22244-4-4-222-20000000000000000-2-2220000000000000000000000000000
χ484444-4-4-24-4-44-2-2-222-4-444-222-2000000000000000022-2-20000000000000000000000000000
χ494444-4-4-2-444-4-2-2-22200002-2-22000000004-40000000000000000-2200000000000000000000
χ504444-4-4-2-444-4-2-2-22200002-2-2200000000-4400000000000000002-200000000000000000000
χ5144-4-40040000-44-40022−220000004-40022−2222−220000000022−22000000000000000000000000000000
χ5244-4-40040000-44-40022−22000000-4400−2222−22220000000022−22000000000000000000000000000000
χ5344-4-40040000-44-400−22220000004-400−2222−222200000000−2222000000000000000000000000000000
χ5444-4-40040000-44-400−2222000000-440022−2222−2200000000−2222000000000000000000000000000000
χ554-44-44-444-44-44-4-44-400004-44-4000000000000000000000000000000000000000000000000
χ564-44-44-4-24-44-4-222-220000-22-2200000000000000000000000000000000−2i32i300000000000000
χ574-44-44-4-24-44-4-222-220000-22-22000000000000000000000000000000002i3−2i300000000000000
χ584-44-44-4-2-44-44-222-2200002-22-20000000000004i−4i0000000000000000−2i2i0000000000000000
χ594-44-44-4-2-44-44-222-2200002-22-2000000000000−4i4i00000000000000002i−2i0000000000000000
χ604-44-4-44444-4-44-4-4-44000044-4-4000000000000000000000000000000000000000000000000
χ614-44-4-44-244-4-4-2222-20000-2-2220000000000000000000000000000000000−2i32i3000000000000
χ624-44-4-44-244-4-4-2222-20000-2-22200000000000000000000000000000000002i3−2i3000000000000
χ634-44-4-44-2-4-444-2222-2000022-2-200000000004i−4i0000000000000000−2i2i000000000000000000
χ644-44-4-44-2-4-444-2222-2000022-2-20000000000−4i4i00000000000000002i−2i000000000000000000
χ654-4-440040000-4-44000022−220000004-422−22−2222000000000022−220000000000000000000000000000
χ664-4-440040000-4-44000022−22000000-44−222222−22000000000022−220000000000000000000000000000
χ674-4-440040000-4-440000−22220000004-4−222222−220000000000−22220000000000000000000000000000
χ684-4-440040000-4-440000−2222000000-4422−22−22220000000000−22220000000000000000000000000000
χ6988-8-800-400004-440042−420000000000000000000000−2222000000000000000000000000000000
χ7088-8-800-400004-4400−4242000000000000000000000022−22000000000000000000000000000000
χ718-8-8800-4000044-4000042−420000000000000000000000−22220000000000000000000000000000
χ728-8-8800-4000044-40000−4242000000000000000000000022−220000000000000000000000000000

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