Finite Group Databasebeta

← Group #10833326

Character table — Group #10833326

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444448888888888888888121212121212121212121212161616161616161616161616162424242424244848
order1222223444466666121212122444444488881212121222224444888846121212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111-1-1-1-1-1-111-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1-1-1-1-111-11-11
χ5111111111111111111111-1-1111-1-1-1-111-1-1-1-111111111-1-111-11-1-11-1-11111-1-111-1-1-11-1-1
χ6111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11-1-11111-1-1-1-1111-111
χ7111111111111111111111-1-11-1-11111-1-1111111-1-111-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-11
χ8111111111111111111111-1-11-1-11111-1-11111-1-111-1-1111111-11-1-11-1-1-1-1-1-111-1-1-1-1111-1
χ911111111111111111111-111-111-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-111-1-111-1-1111-1-1-1
χ1011111111111111111111-111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1111
χ1111111111111111111111-111-1-1-111-1-111111111-1-111-1-11111-1-111-1-1-1-1-111-1-1-1-1-1-111-11
χ1211111111111111111111-111-1-1-111-1-1111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-11-1
χ1311111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111-1-1-1-111-1-11111-1-111-111-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-1-1-1-111-1-1111111-1-11-1-11
χ17222222-12222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-10000000000002-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-12222-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-211110000000000002-1-1-1-1-1-111111100000000
χ19222222-12222-1-1-1-1-1-1-1-1-12-2-2222-2-2-2-2221111000000000000-2-111-111-1-1-1-11100000000
χ20222222-12222-1-1-1-1-1-1-1-1-12-2-22-2-22222-2-2-1-1-1-1000000000000-2-111-1111111-1-100000000
χ21222222-12222-1-1-1-1-1-1-1-1-1-222-222-2-222-2-21111000000000000-21-1-1111-1-111-1-100000000
χ22222222-12222-1-1-1-1-1-1-1-1-1-222-2-2-222-2-222-1-1-1-1000000000000-21-1-111111-1-11100000000
χ23222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-100000000000021111-1-1-1-1111100000000
χ24222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222111100000000000021111-1-111-1-1-1-100000000
χ252222-2-222-2-22222-2-22-22-2200-2000000000000002200-2-200-2-20200-20000000000000200
χ262222-2-222-2-22222-2-22-22-2200-200000000000000-2-2002200220200-20000000000000-200
χ272222-2-222-2-22222-2-22-22-2-2002000000000000002200-2-200220-20020000000000000-200
χ282222-2-222-2-22222-2-22-22-2-200200000000000000-2-2002200-2-20-20020000000000000200
χ292222-2-22-222-2222-2-2-22-2202-200000000000002200-2-2002200002-20000000000000-2000
χ302222-2-22-222-2222-2-2-22-2202-20000000000000-2-2002200-2-200002-200000000000002000
χ312222-2-22-222-2222-2-2-22-220-2200000000000002200-2-200-2-20000-2200000000000002000
χ322222-2-22-222-2222-2-2-22-220-220000000000000-2-2002200220000-220000000000000-2000
χ332-2-222-2222-2-2-2-222-222-2-2000000002i−2i0000002-2002-2000000000000000002i−2i002i−2i0000
χ342-2-222-2222-2-2-2-222-222-2-2000000002i−2i000000-2200-22000000000000000002i−2i00−2i2i0000
χ352-2-222-2222-2-2-2-222-222-2-200000000−2i2i0000002-2002-200000000000000000−2i2i00−2i2i0000
χ362-2-222-2222-2-2-2-222-222-2-200000000−2i2i000000-2200-2200000000000000000−2i2i002i−2i0000
χ372-2-222-22-2-222-2-222-2-2-22200000000002-20000002-2002-200000000000002-2002-2000000
χ382-2-222-22-2-222-2-222-2-2-22200000000002-2000000-2200-2200000000000002-200-22000000
χ392-2-222-22-2-222-2-222-2-2-2220000000000-220000002-2002-20000000000000-2200-22000000
χ402-2-222-22-2-222-2-222-2-2-2220000000000-22000000-2200-220000000000000-22002-2000000
χ412-2-22-222-22-22-2-22-22-222-200002-200000000002-22-2-22-22000000000002-2000000000000
χ422-2-22-222-22-22-2-22-22-222-200002-20000000000-22-222-22-2000000000002-2000000000000
χ432-2-22-222-22-22-2-22-22-222-20000-2200000000002-2-22-222-200000000000-22000000000000
χ442-2-22-222-22-22-2-22-22-222-20000-220000000000-222-22-2-2200000000000-22000000000000
χ454444444-4-4-4-444444-4-4-4-40000000000000000000000000000000000000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-22222000000000000000000000000000000000−2i32i300000000000000
χ47444444-2-4-4-4-4-2-2-2-2-222220000000000000000000000000000000002i3−2i300000000000000
χ484444-4-4-24-4-44-2-2-222-22-22400-40000000000000000000000000-20020000000000000000
χ494444-4-4-24-4-44-2-2-222-22-22-40040000000000000000000000000200-20000000000000000
χ504444-4-4-2-444-4-2-2-2222-22-204-4000000000000000000000000000-2200000000000000000
χ514444-4-4-2-444-4-2-2-2222-22-20-440000000000000000000000000002-200000000000000000
χ524-44-400400004-4-40000000000002-2000022-2-200000000−2i22i2−2i22i2000000000000000000000
χ534-44-400400004-4-40000000000002-2000022-2-2000000002i2−2i22i2−2i2000000000000000000000
χ544-44-400400004-4-4000000000000-220000-2-22200000000−2i22i22i2−2i2000000000000000000000
χ554-44-400400004-4-4000000000000-220000-2-222000000002i2−2i2−2i22i2000000000000000000000
χ564-4-444-4-244-4-422-2-22-2-222000000004i−4i00000000000000000000000000000−2i2i00000000
χ574-4-444-4-244-4-422-2-22-2-22200000000−4i4i000000000000000000000000000002i−2i00000000
χ584-4-444-4-2-4-44422-2-2222-2-200000000004-40000000000000000000000000-220000000000
χ594-4-444-4-2-4-44422-2-2222-2-20000000000-4400000000000000000000000002-20000000000
χ604-4-44-4444-44-4-4-44-444-4-440000000000000000000000000000000000000000000000000
χ614-4-44-44-24-44-422-22-2-222-2000000000000−2i32i3−2i32i3000000000000000000000000000000000
χ624-4-44-44-24-44-422-22-2-222-20000000000002i3−2i32i3−2i3000000000000000000000000000000000
χ634-4-44-44-2-44-4422-22-22-2-2200004-400000000000000000000000000000-22000000000000
χ644-4-44-44-2-44-4422-22-22-2-220000-44000000000000000000000000000002-2000000000000
χ6588-8-80080000-88-80000000000000000000000000000000000000000000000000000000
χ6688-8-800-400004-44000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ6788-8-800-400004-440000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ688-88-800-40000-4440000000000004-40000-2-222000000000000000000000000000000000
χ698-88-800-40000-444000000000000-44000022-2-2000000000000000000000000000000000

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