Finite Group Databasebeta

← Group #10828641

Character table — Group #10828641

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444466668888888888881212121212121212121216161616161616161616161616162424242424244848
order12222234444666444466121212124444444444441212121222444444448812121212121212122424242422444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111-1-1-1-11-11-1111111-1-1-1-111111-11-1-1-1-1-11-111-1-11-11-1-1-11-1
χ41111111111111111111111111111-1-1-1-1-11-11111111-1-1-1-11111-11-11-1-1-1-1-11-1-111-11-11-1-1-11
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-11-11111-1-11111-1-1-1-11-11-1-1-1-1-11-111-1-1-11-1111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-11-111111-1-11111-1-1-1-1-11-11-1-1-1-1-11-1-1111-11-1111-1
χ911111111111111-1-1-1-1111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ1011111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111
χ1111111111111111-1-1-1-11111111111-1-1111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1111-11-111-11
χ1211111111111111-1-1-1-11111111111-1-111-11-11-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1111-1-1-11-11111-1
χ1311111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ1411111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111111111-1-1
χ1511111111111111-1-1-1-1111111-1-1-1-1-1-1111-11-1-1-1-1-1-1-111111111-111-1-1-1111-1-1-111-11-11-1-11-1
χ1611111111111111-1-1-1-1111111-1-1-1-1-1-111-11-11-1-1-1-1-1-1111111111-1-11-1-111-1111-1-11-11-1-1-1-11
χ172222222-2-2-2-2222000022-2-2-2-222222-20000000000-2-222-2-2000000002-20000000000000000
χ182222222-2-2-2-2222000022-2-2-2-22222-220000000000-2-2-2-22200000000-220000000000000000
χ192222222-2-2-2-2222000022-2-2-2-2-2-2-2-22-2000000000022-2-222000000002-20000000000000000
χ202222222-2-2-2-2222000022-2-2-2-2-2-2-2-2-2200000000002222-2-200000000-220000000000000000
χ21222222-12222-1-1-12222-1-1-1-1-1-1000022222222-1-1-1-1000000000022-1-1-1-1-1-1-1-1-1-1-1-100000000
χ22222222-12222-1-1-12222-1-1-1-1-1-100002222-2-2-2-2-1-1-1-10000000000-2-211-1-1-1-111111100000000
χ23222222-12222-1-1-12222-1-1-1-1-1-10000-2-2-2-22-22-2-1-1-1-100000000002-2-111111-11-1-11100000000
χ24222222-12222-1-1-12222-1-1-1-1-1-10000-2-2-2-2-22-22-1-1-1-10000000000-221-111111-111-1-100000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1000022-2-2222211110000000000-2-2-1-1-1-111-1-1111100000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1000022-2-2-2-2-2-2111100000000002211-1-11111-1-1-1-100000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-2222-22-211110000000000-22-1111-1-1-1111-1-100000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-222-22-22111100000000002-21-111-1-11-1-1-11100000000
χ292222-2-222-22-22220000-2-22-22-222-2-20000020-200002-200000000000-20000020000020-20000
χ302222-2-222-22-22220000-2-22-22-222-2-200000-20200002-200000000000200000-200000-2020000
χ312222-2-222-22-22220000-2-22-22-2-2-2220000020-20000-2200000000000-200000200000-2020000
χ322222-2-222-22-22220000-2-22-22-2-2-22200000-2020000-2200000000000200000-20000020-20000
χ332222-2-22-22-222220000-2-2-22-2222-2-2000020-200000-220000000000-20000020000020-200000
χ342222-2-22-22-222220000-2-2-22-2222-2-20000-20200000-220000000000200000-200000-20200000
χ352222-2-22-22-222220000-2-2-22-22-2-222000020-2000002-20000000000-200000200000-20200000
χ362222-2-22-22-222220000-2-2-22-22-2-2220000-202000002-20000000000200000-20000020-200000
χ372-22-2-22222-2-22-2-20000-22-2-2220000002i−2i00000000002i−2i2i−2i22-2-20000002i−2i00000000000000
χ382-22-2-22222-2-22-2-20000-22-2-2220000002i−2i0000000000−2i2i−2i2i-2-2220000002i−2i00000000000000
χ392-22-2-22222-2-22-2-20000-22-2-222000000−2i2i00000000002i−2i2i−2i-2-222000000−2i2i00000000000000
χ402-22-2-22222-2-22-2-20000-22-2-222000000−2i2i0000000000−2i2i−2i2i22-2-2000000−2i2i00000000000000
χ412-22-2-222-2-2222-2-222-2-2-2222-2-200000000000022-2-2002i−2i−2i2i00000000000000000000002i−2i00
χ422-22-2-222-2-2222-2-222-2-2-2222-2-200000000000022-2-200−2i2i2i−2i0000000000000000000000−2i2i00
χ432-22-2-222-2-2222-2-2-2-222-2222-2-2000000000000-2-222002i−2i−2i2i0000000000000000000000−2i2i00
χ442-22-2-222-2-2222-2-2-2-222-2222-2-2000000000000-2-22200−2i2i2i−2i00000000000000000000002i−2i00
χ45444444-2-4-4-4-4-2-2-20000-2-2222200004-4000000000000000000000000-220000000000000000
χ46444444-2-4-4-4-4-2-2-20000-2-222220000-440000000000000000000000002-20000000000000000
χ474444-4-4-24-44-4-2-2-2000022-22-2200000000040-400000000000000000200000-2000000000000
χ484444-4-4-24-44-4-2-2-2000022-22-22000000000-40400000000000000000-2000002000000000000
χ494444-4-4-2-44-44-2-2-20000222-22-20000000040-400000000000000000200000-20000000000000
χ504444-4-4-2-44-44-2-2-20000222-22-200000000-40400000000000000000-20000020000000000000
χ5144-4-40040000-4-442-22-2000000004i−4i000000002-22-20000002i−2i2i−2i0000000000000000000000
χ5244-4-40040000-4-442-22-200000000−4i4i000000002-22-2000000−2i2i−2i2i0000000000000000000000
χ5344-4-40040000-4-44-22-22000000004i−4i00000000-22-22000000−2i2i−2i2i0000000000000000000000
χ5444-4-40040000-4-44-22-2200000000−4i4i00000000-22-220000002i−2i2i−2i0000000000000000000000
χ554-44-44-444-4-444-4-400004-4-444-4000000000000000000000000000000000000000000000000
χ564-44-44-44-444-44-4-400004-44-4-44000000000000000000000000000000000000000000000000
χ574-44-44-4-24-4-44-2220000-222-2-22000000000000000000000000000000000000−2i32i30000000000
χ584-44-44-4-24-4-44-2220000-222-2-220000000000000000000000000000000000002i3−2i30000000000
χ594-44-44-4-2-444-4-2220000-22-222-200000000000000000000000000000000000000−2i32i300000000
χ604-44-44-4-2-444-4-2220000-22-222-2000000000000000000000000000000000000002i3−2i300000000
χ614-44-4-44-244-4-4-22200002-222-2-20000004i−4i000000000000000000000000−2i2i00000000000000
χ624-44-4-44-244-4-4-22200002-222-2-2000000−4i4i0000000000000000000000002i−2i00000000000000
χ634-44-4-44-2-4-444-22244-4-42-2-2-222000000000000-2-22200000000000000000000000000000000
χ644-44-4-44-2-4-444-222-4-4442-2-2-22200000000000022-2-200000000000000000000000000000000
χ654-4-440040000-44-42-2-220000004i−4i00000000002-2-220000002i−2i−2i2i0000000000000000000000
χ664-4-440040000-44-42-2-22000000−4i4i00000000002-2-22000000−2i2i2i−2i0000000000000000000000
χ674-4-440040000-44-4-222-20000004i−4i0000000000-222-2000000−2i2i2i−2i0000000000000000000000
χ684-4-440040000-44-4-222-2000000−4i4i0000000000-222-20000002i−2i−2i2i0000000000000000000000
χ6988-8-800-4000044-44-44-4000000000000000000-22-2200000000000000000000000000000000
χ7088-8-800-4000044-4-44-440000000000000000002-22-200000000000000000000000000000000
χ718-8-8800-400004-444-4-44000000000000000000-222-200000000000000000000000000000000
χ728-8-8800-400004-44-444-40000000000000000002-2-2200000000000000000000000000000000

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