Finite Group Databasebeta

← Group #300132

Character table — Group #300132

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222224444444444888888888888888816161616161616161616161632323232
order12222244444444444444888824444488888888882224444488882288
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
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-11-11-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-11-11
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1-111-11-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-11-111-1-1111-11-1
χ911111111111111-1-11-1-111111-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1
χ1011111111111111-1-11-1-111111-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ1111111111111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111
χ1211111111111111-1-11-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ1311111111111111-1-11-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1111-11-1-1-1-1-1111-1-11
χ1411111111111111-1-11-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1111-1-111-111-1
χ1511111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-111-1-1-111-1
χ1611111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-111111-1-11-1-11
χ17222222222-2-2-2-2222-222-20000-2-222-2-20000000000000000002-2000000
χ18222222222-2-2-2-2222-222-20000-2-2-2-222000000000000000000-22000000
χ19222222222-2-2-2-22-2-2-2-2-2-200002222-2-2000000000000000000-22000000
χ20222222222-2-2-2-22-2-2-2-2-2-2000022-2-2220000000000000000002-2000000
χ21222222-2-2-2-2-222-200-200222-2-20000002-2000000002-200002-200000000
χ22222222-2-2-2-2-222-200-200222-2-20000002-200000000-220000-2200000000
χ23222222-2-2-2-2-222-200-2002-2-222000000-22000000002-20000-2200000000
χ24222222-2-2-2-2-222-200-2002-2-222000000-2200000000-2200002-200000000
χ252222-2-22-2-222-2-2222-2-2-220000-22000000000022-2-200000000002-20000
χ262222-2-22-2-222-2-2222-2-2-220000-220000000000-2-2220000000000-220000
χ272222-2-22-2-222-2-22-2-2-222200002-2000000000022-2-20000000000-220000
χ282222-2-22-2-222-2-22-2-2-222200002-20000000000-2-22200000000002-20000
χ292222-2-22-2-2-2-2222222-2-2-222-2-22-20000-2222-2-200000000000000000000
χ302222-2-22-2-2-2-2222222-2-2-2-2-2222-200002-2-2-22200000000000000000000
χ312222-2-22-2-2-2-2222-2-2222-222-2-2-220000-22-2-22200000000000000000000
χ322222-2-22-2-2-2-2222-2-2222-2-2-222-2200002-222-2-200000000000000000000
χ332222-2-2-2222222-200-200-22222000000-2-200000000002-2-220000000000
χ342222-2-2-2222222-200-200-22222000000-2-20000000000-222-20000000000
χ352222-2-2-2222222-200-200-2-2-2-2-200000022000000000022-2-20000000000
χ362222-2-2-2222222-200-200-2-2-2-2-2000000220000000000-2-2220000000000
χ37444444-4-4-444-4-4-400400-4000000000000000000000000000000000000
χ384444-4-4-444-4-4-4-4-4004004000000000000000000000000000000000000
χ3944-4-44-444-40000-44i−4i04i−4i0000000000000000000000000000000000000
χ4044-4-44-444-40000-4−4i4i0−4i4i0000000000000000000000000000000000000
χ4144-4-44-4-4-440000400000000000000000022−2222−2200000000000000000000
χ4244-4-44-4-4-4400004000000000000000000−2222−222200000000000000000000
χ4344-4-4-444-440000-44i−4i0−4i4i0000000000000000000000000000000000000
χ4444-4-4-444-440000-4−4i4i04i−4i0000000000000000000000000000000000000
χ4544-4-4-44-44-40000400000000000000000022−22−222200000000000000000000
χ4644-4-4-44-44-400004000000000000000000−222222−2200000000000000000000
χ474-4-44000004-400000000022−2222−22002-22-20000000022−220000000000000000
χ484-4-44000004-400000000022−2222−2200-22-2200000000−22220000000000000000
χ494-4-44000004-4000000000−2222−2222002-22-200000000−22220000000000000000
χ504-4-44000004-4000000000−2222−222200-22-220000000022−220000000000000000
χ514-4-4400000-4400000000022−22−2222002-2-2200000022−22000000000000000000
χ524-4-4400000-4400000000022−22−222200-222-2000000−2222000000000000000000
χ534-4-4400000-44000000000−222222−22002-2-22000000−2222000000000000000000
χ544-4-4400000-44000000000−222222−2200-222-200000022−22000000000000000000
χ558-88-800000008-80000000000000000000000000000000000000000000
χ568-88-80000000-880000000000000000000000000000000000000000000

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