Finite Group Databasebeta

← Group #10769153

Character table — Group #10769153

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222244444466668888888888888121212121616161616161616161616161616162424242424242424244848
order12222236664444664444444448888121212122244441212121212121212122424242422244888844
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-111111111-1-111-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111-1-11-1-1111111111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1
χ411111111111111111111-1-11-1-1-1-1-1-11111111111-1-1111-1-111-1-1-1-11-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-11111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11111-1-1-1-111
χ81111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1111-1-111-1-1-1-1-111111111-1-1
χ91111111111-1-1111111111-1-11-111-1-1-1-11111-1-11-11-111-11-1-1-111-1-1-11-11-111-1-11-1
χ101111111111-1-1111111111-1-11-1-1-111-1-11111-1-1-111-1-1-1-11-111-1-111-11-11-1-1-111-11
χ111111111111-1-111111111-11-1-1111-1-1-1-11111-1-1-11-11-1-1-1-111111-1-1-1-11-1111-1-1-11
χ121111111111-1-111111111-11-1-11-1-111-1-11111-1-11-1-1111-1-11-1-1-1-111-1-11-11-1-1111-1
χ131111111111-1-11111-1-1-1-11-1-11-111-1-1-1-111-1-1111-11-111-11-1-1-111-1-11-11-11-1-111-11
χ141111111111-1-11111-1-1-1-11-1-11-1-1-111-1-111-1-111-111-1-1-1-11-111-1-1111-11-1111-1-11-1
χ151111111111-1-11111-1-1-1-1-11-1-1111-1-1-1-111-1-111-11-11-1-1-1-111111-1-111-11-1-1-1111-1
χ161111111111-1-11111-1-1-1-1-11-1-11-1-111-1-111-1-1111-1-1111-1-11-1-1-1-11111-11-111-1-1-11
χ17222222222222-2-222222200-200000022-2-2-2-222000000-200000000-20000000000
χ18222222222222-2-222-2-2-2-200-200000022-2-222-2-2000000-20000000020000000000
χ192222222222-2-2-2-2222222002000000-2-2-2-2-2-2-2-200000020000000020000000000
χ202222222222-2-2-2-222-2-2-2-2002000000-2-2-2-22222000000200000000-20000000000
χ21222222-1-1-1-12222-1-10000222222222-1-1-1-1000022-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-1-1-1-12222-1-1000022222-2-2-2-2-1-1-1-10000-2-2-1-111-1-1-111111100000000000
χ23222222-1-1-1-12222-1-10000-2-22-2-22222-1-1-1-10000-2-21111-11111-1-1-1-100000000000
χ24222222-1-1-1-12222-1-10000-2-22-2-2-2-2-2-2-1-1-1-100002211-1-1-111-1-1111100000000000
χ25222222-1-1-1-1-2-222-1-100002-2-22-222-2-211-1-100002-2-11-1-11-1111-1-11100000000000
χ26222222-1-1-1-1-2-222-1-100002-2-22-2-2-22211-1-10000-22-11111-11-1-111-1-100000000000
χ27222222-1-1-1-1-2-222-1-10000-22-2-2222-2-211-1-10000-221-11111-1-1-1-1-11100000000000
χ28222222-1-1-1-1-2-222-1-10000-22-2-22-2-22211-1-100002-21-1-1-111-11111-1-100000000000
χ292222-2-22222002-2-2-222-2-20200-20000002-22-20000020000-20000000020-2000000
χ302222-2-22222002-2-2-222-2-20-20020000002-22-200000-20000200000000-202000000
χ312222-2-22222002-2-2-2-2-2220200-20000002-2-220000020000-200000000-202000000
χ322222-2-22222002-2-2-2-2-2220-20020000002-2-2200000-2000020000000020-2000000
χ332222-2-2222200-22-2-222-2-2200-20000000-22-22000020000-20000000020-20000000
χ342222-2-2222200-22-2-222-2-2-20020000000-22-220000-20000200000000-2020000000
χ352222-2-2222200-22-2-2-2-222200-20000000-222-2000020000-200000000-2020000000
χ362222-2-2222200-22-2-2-2-222-20020000000-222-20000-2000020000000020-20000000
χ372-22-22-22-22-22-200-222i−2i2i−2i00000−i2i2−i2i22-200002i−2i00000000000−i2i2−i2i2000002−22−200
χ382-22-22-22-22-22-200-222i−2i2i−2i00000i2−i2i2−i22-200002i−2i00000000000i2−i2i2−i200000−22−2200
χ392-22-22-22-22-22-200-22−2i2i−2i2i00000−i2i2−i2i22-20000−2i2i00000000000−i2i2−i2i200000−22−2200
χ402-22-22-22-22-22-200-22−2i2i−2i2i00000i2−i2i2−i22-20000−2i2i00000000000i2−i2i2−i2000002−22−200
χ412-22-22-22-22-2-2200-222i−2i2i−2i00000−i2i2i2−i2-220000−2i2i00000000000−i2i2i2−i2000002−2−2200
χ422-22-22-22-22-2-2200-222i−2i2i−2i00000i2−i2−i2i2-220000−2i2i00000000000i2−i2−i2i200000−222−200
χ432-22-22-22-22-2-2200-22−2i2i−2i2i00000−i2i2i2−i2-2200002i−2i00000000000−i2i2i2−i200000−222−200
χ442-22-22-22-22-2-2200-22−2i2i−2i2i00000i2−i2−i2i2-2200002i−2i00000000000i2−i2−i2i2000002−2−2200
χ45444444-2-2-2-244-4-4-2-2000000-4000000-2-222000000000020000000000000000000
χ46444444-2-2-2-2-4-4-4-4-2-2000000400000022220000000000-20000000000000000000
χ474444-4-4-2-2-2-2004-42200000400-4000000-220000000-20000200000000000000000
χ484444-4-4-2-2-2-2004-42200000-4004000000-22000000020000-200000000000000000
χ494444-4-4-2-2-2-200-44220000400-400000002-2000000-200002000000000000000000
χ504444-4-4-2-2-2-200-44220000-400400000002-200000020000-2000000000000000000
χ514-44-44-4-22-224-4002-2000000000−2i22i2−2i22i2-2200000000000000000i2−i2i2−i200000000000
χ524-44-44-4-22-224-4002-20000000002i2−2i22i2−2i2-2200000000000000000−i2i2−i2i200000000000
χ534-44-44-4-22-22-44002-2000000000−2i22i22i2−2i22-200000000000000000i2−i2−i2i200000000000
χ544-44-44-4-22-22-44002-20000000002i2−2i2−2i22i22-200000000000000000−i2i2i2−i200000000000
χ554-44-4-444-44-400004-44i−4i−4i4i0000000000000000000000000000000000000000000
χ564-44-4-444-44-400004-4−4i4i4i−4i0000000000000000000000000000000000000000000
χ5788-8-80088-8-800000000000000000000000000000000000000000000000000000
χ5888-8-800-4-444000000000000000000000000000000000000−2i32i3000000000000000
χ5988-8-800-4-4440000000000000000000000000000000000002i3−2i3000000000000000
χ608-88-8-88-44-440000-4400000000000000000000000000000000000000000000000
χ618-8-88008-8-8800000000000000000000000000000000000000000000000000000
χ628-8-8800-444-4000000000000000000000000000000023−2300000000000000000000
χ638-8-8800-444-40000000000000000000000000000000−232300000000000000000000

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