Finite Group Databasebeta

← Group #10826855

Character table — Group #10826855

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444466668888888888881212121212121212121216161616161616161616161616162424242424244848
order12222234444666444466121212122222222444441212121244444444446668812121212122424242422244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-111-11111111111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-1-111-11-1
χ41111111111111111111111111111-1-1-111-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-111-1-11-1-11-11
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1-1111-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-111-11-1
χ911111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-1-11-1-11111-111-1-11
χ1011111111111111-1-1-1-1111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-111-1-1-111-1-1111-1-111-1
χ1111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1
χ1211111111111111-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-11111-1-1-1-1-1-111
χ1311111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111111-11-1-1-1-11-1-111-1-11-1-111-1
χ1411111111111111-1-1-1-1111111-1-1-1-111-111-1-1-1-1-1-1-1-1-11111111111-11-111-1-1-111-1-1-1-1-111-1-11
χ1511111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-111
χ1611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-11111111111-1-1
χ172222222-2-2-2-2222000022-2-2-2-22222000002-200000-2-222-2-2000000000002-20000000000000
χ182222222-2-2-2-2222000022-2-2-2-2222200000-2200000-2-2-2-22200000000000-220000000000000
χ192222222-2-2-2-2222000022-2-2-2-2-2-2-2-2000002-20000022-2-222000000000002-20000000000000
χ202222222-2-2-2-2222000022-2-2-2-2-2-2-2-200000-22000002222-2-200000000000-220000000000000
χ21222222-12222-1-1-12222-1-1-1-1-1-1000022222222-1-1-1-10000000000-1-1-122-1-1-1-1-1-1-1-1-100000000
χ22222222-12222-1-1-12222-1-1-1-1-1-1000022-2-2-222-2-1-1-1-10000000000-1-11-2-211-1-11111100000000
χ23222222-12222-1-1-12222-1-1-1-1-1-10000-2-22-2-2-2-22-1-1-1-1000000000011-12-21111-1-1-11100000000
χ24222222-12222-1-1-12222-1-1-1-1-1-10000-2-2-222-2-2-2-1-1-1-10000000000111-22-1-111111-1-100000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000222-2-2-2-2211110000000000-1-1-1-221111-111-1-100000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1000022-222-2-2-211110000000000-1-112-2-1-1111-1-11100000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-22222221111000000000011-1-2-2-1-1-1-1-1111100000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-2-2-2-222-2111100000000001112211-1-11-1-1-1-100000000
χ292222-2-222-22-22220000-2-22-22-222-2-20002-200000002-200000000000002-2000000000200-200
χ302222-2-222-22-22220000-2-22-22-222-2-2000-2200000002-20000000000000-22000000000-200200
χ312222-2-222-22-22220000-2-22-22-2-2-2220002-20000000-2200000000000002-2000000000-200200
χ322222-2-222-22-22220000-2-22-22-2-2-222000-220000000-220000000000000-22000000000200-200
χ332222-2-22-22-222220000-2-2-22-2222-2-20020000-20000-2200000000002000000-200000002-2000
χ342222-2-22-22-222220000-2-2-22-2222-2-200-2000020000-220000000000-200000020000000-22000
χ352222-2-22-22-222220000-2-2-22-22-2-2220020000-200002-200000000002000000-20000000-22000
χ362222-2-22-22-222220000-2-2-22-22-2-22200-20000200002-20000000000-2000000200000002-2000
χ372-2-22-2222-2-22-2-2222-2-2-22-222-200000000000022-2-2002-22-20000000000000000002-2000000
χ382-2-22-2222-2-22-2-2222-2-2-22-222-200000000000022-2-200-22-22000000000000000000-22000000
χ392-2-22-2222-2-22-2-22-2-222-22-222-2000000000000-2-222002-22-2000000000000000000-22000000
χ402-2-22-2222-2-22-2-22-2-222-22-222-2000000000000-2-22200-22-220000000000000000002-2000000
χ412-2-22-222-222-2-2-220000-222-2-2200002-20000000000002-2-2222-2-22-200000000000000000000
χ422-2-22-222-222-2-2-220000-222-2-2200002-2000000000000-222-2-2-2222-200000000000000000000
χ432-2-22-222-222-2-2-220000-222-2-220000-220000000000002-2-22-2-222-2200000000000000000000
χ442-2-22-222-222-2-2-220000-222-2-220000-22000000000000-222-222-2-2-2200000000000000000000
χ45444444-2-4-4-4-4-2-2-20000-2-222220000000004-40000000000000000000000-220000000000000
χ46444444-2-4-4-4-4-2-2-20000-2-22222000000000-4400000000000000000000002-20000000000000
χ474444-4-4-24-44-4-2-2-2000022-22-2200000004-40000000000000000000000-22000000000000000
χ484444-4-4-24-44-4-2-2-2000022-22-220000000-4400000000000000000000002-2000000000000000
χ494444-4-4-2-44-44-2-2-20000222-22-200000040000-40000000000000000-20000002000000000000
χ504444-4-4-2-44-44-2-2-20000222-22-2000000-40000400000000000000002000000-2000000000000
χ5144-4-400400004-4-42i−2i2i−2i000000004-4000000002i−2i2i−2i0000002i−2i2i−2i0000000000000000000000
χ5244-4-400400004-4-42i−2i2i−2i00000000-44000000002i−2i2i−2i000000−2i2i−2i2i0000000000000000000000
χ5344-4-400400004-4-4−2i2i−2i2i000000004-400000000−2i2i−2i2i000000−2i2i−2i2i0000000000000000000000
χ5444-4-400400004-4-4−2i2i−2i2i00000000-4400000000−2i2i−2i2i0000002i−2i2i−2i0000000000000000000000
χ554-44-40040000-44-42i−2i−2i2i0000004-400000000002i−2i−2i2i0000002i−2i−2i2i0000000000000000000000
χ564-44-40040000-44-42i−2i−2i2i000000-4400000000002i−2i−2i2i000000−2i2i2i−2i0000000000000000000000
χ574-44-40040000-44-4−2i2i2i−2i0000004-40000000000−2i2i2i−2i000000−2i2i2i−2i0000000000000000000000
χ584-44-40040000-44-4−2i2i2i−2i000000-440000000000−2i2i2i−2i0000002i−2i−2i2i0000000000000000000000
χ594-4-444-4444-4-4-4-4400004-4-4-444000000000000000000000000000000000000000000000000
χ604-4-444-44-4-444-4-4400004-444-4-4000000000000000000000000000000000000000000000000
χ614-4-444-4-244-4-422-20000-2222-2-200000000000000000000000000000000000000−2i32i300000000
χ624-4-444-4-244-4-422-20000-2222-2-2000000000000000000000000000000000000002i3−2i300000000
χ634-4-444-4-2-4-44422-20000-22-2-22200000000000000000000000000000000000023−230000000000
χ644-4-444-4-2-4-44422-20000-22-2-222000000000000000000000000000000000000−23230000000000
χ654-4-44-44-24-4-4422-244-4-42-22-2-22000000000000-2-22200000000000000000000000000000000
χ664-4-44-44-24-4-4422-2-4-4442-22-2-2200000000000022-2-200000000000000000000000000000000
χ674-4-44-44-2-444-422-200002-2-222-200004-400000000000000000000-2200000000000000000000
χ684-4-44-44-2-444-422-200002-2-222-20000-44000000000000000000002-200000000000000000000
χ6988-8-800-40000-4444i−4i4i−4i000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ7088-8-800-40000-444−4i4i−4i4i0000000000000000002i−2i2i−2i00000000000000000000000000000000
χ718-88-800-400004-444i−4i−4i4i000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ728-88-800-400004-44−4i4i4i−4i0000000000000000002i−2i−2i2i00000000000000000000000000000000

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