Finite Group Databasebeta

← Group #300135

Character table — Group #300135

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222224444444444888888888888888816161616161616161616161632323232
order12222244444444224444888844444488888888882222444488882488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-11-11-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-11-11
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-1-111-11-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1111-1-1111-11-1
χ911111111111111-1-11-1-111111-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-111-1-1
χ1011111111111111-1-11-1-111111-1-1111111-1-1-1-11111-1-1111-1-11-1-1-1-1-1-111
χ1111111111111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-11111-1-111
χ1211111111111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1
χ1311111111111111-1-11-1-11-1-1-1-1-1-11111-1-11111-1-1-1-111-11-1-1-11-1-1111-1-11
χ1411111111111111-1-11-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-1111-1-1-111-111-1
χ1511111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1111-1-1-111-1
χ1611111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1111-111-1-11-1-11
χ17222222-2-222-2-22222-222-20000-2-222-2-20000000000000000002-2000000
χ18222222-2-222-2-22222-222-20000-2-2-2-222000000000000000000-22000000
χ19222222-2-222-2-222-2-2-2-2-2-200002222-2-2000000000000000000-22000000
χ20222222-2-222-2-222-2-2-2-2-2-2000022-2-2220000000000000000002-2000000
χ21222222-2-2-2-222-2-200-200222-2-20000002-2000000002-20002-2000000000
χ22222222-2-2-2-222-2-200-200222-2-20000002-200000000-22000-22000000000
χ23222222-2-2-2-222-2-200-2002-2-222000000-22000000002-2000-22000000000
χ24222222-2-2-2-222-2-200-2002-2-222000000-2200000000-220002-2000000000
χ252222-2-2222222-2-200-200-22222000000-2-200000000002-2-200200000000
χ262222-2-2222222-2-200-200-22222000000-2-20000000000-22200-200000000
χ272222-2-2222222-2-200-200-2-2-2-2-200000022000000000022-200-200000000
χ282222-2-2222222-2-200-200-2-2-2-2-2000000220000000000-2-2200200000000
χ292222-2-222-2-2-2-22222-2-2-2200002-2000000000022-2-200000000002-20000
χ302222-2-222-2-2-2-22222-2-2-2200002-20000000000-2-2220000000000-220000
χ312222-2-222-2-2-2-222-2-2-22220000-22000000000022-2-20000000000-220000
χ322222-2-222-2-2-2-222-2-2-22220000-220000000000-2-22200000000002-20000
χ332222-2-2-2-2-2-22222222-2-2-222-2-2-220000-2222-2-200000000000000000000
χ342222-2-2-2-2-2-22222222-2-2-2-2-222-2200002-2-2-22200000000000000000000
χ352222-2-2-2-2-2-22222-2-2222-222-2-22-20000-22-2-22200000000000000000000
χ362222-2-2-2-2-2-22222-2-2222-2-2-2222-200002-222-2-200000000000000000000
χ3744444444-4-4-4-4-4-400400-4000000000000000000000000000000000000
χ384444-4-4-4-444-4-4-4-4004004000000000000000000000000000000000000
χ3944-4-4004-40000000000002i2−2i22i2−2i2002-22-2000000002i2−2i20000000000000000
χ4044-4-4004-40000000000002i2−2i22i2−2i200-22-2200000000−2i22i20000000000000000
χ4144-4-4004-4000000000000−2i22i2−2i22i2002-22-200000000−2i22i20000000000000000
χ4244-4-4004-4000000000000−2i22i2−2i22i200-22-22000000002i2−2i20000000000000000
χ4344-4-400-440000000000002i2−2i2−2i22i2002-2-220000002i2−2i2000000000000000000
χ4444-4-400-440000000000002i2−2i2−2i22i200-222-2000000−2i22i2000000000000000000
χ4544-4-400-44000000000000−2i22i22i2−2i2002-2-22000000−2i22i2000000000000000000
χ4644-4-400-44000000000000−2i22i22i2−2i200-222-20000002i2−2i2000000000000000000
χ474-4-444-4004-4004-400000000000000000022−2222−2200000000000000000000
χ484-4-444-4004-4004-4000000000000000000−2222−222200000000000000000000
χ494-4-444-400-4400-444-404-40000000000000000000000000000000000000
χ504-4-444-400-4400-44-440-440000000000000000000000000000000000000
χ514-4-44-44004-400-444-40-440000000000000000000000000000000000000
χ524-4-44-44004-400-44-4404-40000000000000000000000000000000000000
χ534-4-44-4400-44004-400000000000000000022−22−222200000000000000000000
χ544-4-44-4400-44004-4000000000000000000−222222−2200000000000000000000
χ558-88-80000008-800000000000000000000000000000000000000000000
χ568-88-8000000-8800000000000000000000000000000000000000000000

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