Finite Group Databasebeta

← Group #300256

Character table — Group #300256

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444444444444444448888161616161616161616161616161632323232
order12222244444444444444444488888888888888882444244444448888884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ9111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ10111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ11111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ12111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-11-11
χ14111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-11-11-1
χ15111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1111-1-11
χ16111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-111-1
χ1722222222-2-222-2-2-22222-2-2-2-2-2000000000000000022-2-2000000002-200000000
χ1822222222-2-222-2-2-22222-2-2-2-2-20000000000000000-2-22200000000-2200000000
χ1922222222-2-222-2-2-2-2-2-2-22222-2000000000000000022-2-200000000-2200000000
χ2022222222-2-222-2-2-2-2-2-2-22222-20000000000000000-2-222000000002-200000000
χ21222222-2-2-2-2-2-222-20000000022222-2-2-2-200000000000000002-22-20000000000
χ22222222-2-2-2-2-2-222-20000000022222-2-2-2-20000000000000000-22-220000000000
χ23222222-2-2-2-2-2-222-2000000002-2-2-2-2222200000000000000002-2-220000000000
χ24222222-2-2-2-2-2-222-2000000002-2-2-2-222220000000000000000-222-20000000000
χ252222-2-22222-2-222-200000000-222-2-222-2-20000000000002-22-200000000000000
χ262222-2-22222-2-222-200000000-222-2-222-2-2000000000000-22-2200000000000000
χ272222-2-22222-2-222-200000000-2-2-222-2-2220000000000002-2-2200000000000000
χ282222-2-22222-2-222-200000000-2-2-222-2-222000000000000-222-200000000000000
χ292222-2-2-2-22222-2-2-2000000002000000002222-2-2-2-22-22-200000000002-2000000
χ302222-2-2-2-22222-2-2-2000000002000000002222-2-2-2-2-22-220000000000-22000000
χ312222-2-2-2-22222-2-2-200000000200000000-2-2-2-222222-22-20000000000-22000000
χ322222-2-2-2-22222-2-2-200000000200000000-2-2-2-22222-22-2200000000002-2000000
χ332222-2-2-2-2-2-22222200000000-222-2-2-2-222000000002-2-220000000000002-20000
χ342222-2-2-2-2-2-22222200000000-222-2-2-2-22200000000-222-2000000000000-220000
χ352222-2-2-2-2-2-22222200000000-2-2-22222-2-2000000002-2-22000000000000-220000
χ362222-2-2-2-2-2-22222200000000-2-2-22222-2-200000000-222-20000000000002-20000
χ37444444-4-444-4-4-4-4400000000-400000000000000000000000000000000000000
χ384444-4-444-4-4-4-4-4-4400000000400000000000000000000000000000000000000
χ3944-4-44-44-4004-4000000000000000000002222−22−222222−22−220000000000000000000000
χ4044-4-44-44-4004-400000000000000000000−22−222222−22−2222220000000000000000000000
χ4144-4-44-4-4400-4400044-4-40000000000000000000000000000000000000000000
χ4244-4-44-4-4400-44000-4-4440000000000000000000000000000000000000000000
χ4344-4-4-444-400-44000000044-4-4000000000000000000000000000000000000000
χ4444-4-4-444-400-440000000-4-444000000000000000000000000000000000000000
χ4544-4-4-44-44004-4000000000000000000002222−22−22−22−2222220000000000000000000000
χ4644-4-4-44-44004-400000000000000000000−22−2222222222−22−220000000000000000000000
χ474-44-4000000004-402i−2i2i−2i2i−2i2i−2i00000004i−4i2-22-22-22-20000000000000000000000
χ484-44-4000000004-402i−2i2i−2i2i−2i2i−2i0000000−4i4i-22-22-22-220000000000000000000000
χ494-44-4000000004-40−2i2i−2i2i−2i2i−2i2i00000004i−4i-22-22-22-220000000000000000000000
χ504-44-4000000004-40−2i2i−2i2i−2i2i−2i2i0000000−4i4i2-22-22-22-20000000000000000000000
χ514-44-400000000-4402i−2i2i−2i−2i2i−2i2i0004i−4i00002-22-2-22-220000000000000000000000
χ524-44-400000000-4402i−2i2i−2i−2i2i−2i2i000−4i4i0000-22-222-22-20000000000000000000000
χ534-44-400000000-440−2i2i−2i2i2i−2i2i−2i0004i−4i0000-22-222-22-20000000000000000000000
χ544-44-400000000-440−2i2i−2i2i2i−2i2i−2i000−4i4i00002-22-2-22-220000000000000000000000
χ554-4-4400004-4000002i−2i−2i2i2i−2i−2i2i02i2−2i2002i2−2i200000022−22−22220000000000000000000000
χ564-4-4400004-4000002i−2i−2i2i2i−2i−2i2i0−2i22i200−2i22i2000000−222222−220000000000000000000000
χ574-4-4400004-400000−2i2i2i−2i−2i2i2i−2i02i2−2i2002i2−2i2000000−222222−220000000000000000000000
χ584-4-4400004-400000−2i2i2i−2i−2i2i2i−2i0−2i22i200−2i22i200000022−22−22220000000000000000000000
χ594-4-440000-44000002i−2i−2i2i−2i2i2i−2i02i2−2i200−2i22i200−222222−2200000000000000000000000000
χ604-4-440000-44000002i−2i−2i2i−2i2i2i−2i0−2i22i2002i2−2i20022−22−222200000000000000000000000000
χ614-4-440000-4400000−2i2i2i−2i2i−2i−2i2i02i2−2i200−2i22i20022−22−222200000000000000000000000000
χ624-4-440000-4400000−2i2i2i−2i2i−2i−2i2i0−2i22i2002i2−2i200−222222−2200000000000000000000000000

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