Finite Group Databasebeta

← Group #326513

Character table — Group #326513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order12222244444444888844444444448888888888888822448888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-111111-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-11-1-1-1-11111-1-11111-1-1
χ911111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1111-11-1
χ1011111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-11-11
χ1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-11-11
χ1211111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-11-11-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-11-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111-1-11
χ17222222222-2-2-2-222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000
χ18222222222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222200000000000000000000
χ19222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-200000000000000000000
χ20222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-200000000000000000000
χ212222-2-222-22222-20000-2-200000000000022-2-222-2-2000000000000002i−2i2i−2i0000
χ222222-2-222-22222-20000-2-200000000000022-2-222-2-200000000000000−2i2i−2i2i0000
χ232222-2-222-22222-20000-2-2000000000000-2-222-2-222000000000000002i−2i−2i2i0000
χ242222-2-222-22222-20000-2-2000000000000-2-222-2-22200000000000000−2i2i2i−2i0000
χ252222-2-222-2-2-2-2-2-200002200000000000022-2-2-2-2220022-2-20000000000000000
χ262222-2-222-2-2-2-2-2-200002200000000000022-2-2-2-22200-2-2220000000000000000
χ272222-2-222-2-2-2-2-2-2000022000000000000-2-22222-2-2002-2-220000000000000000
χ282222-2-222-2-2-2-2-2-2000022000000000000-2-22222-2-200-222-20000000000000000
χ292222-2-2-2-2222-2-2222222-20000000022-2-200000000-2-2000000002i−2i2i−2i00000000
χ302222-2-2-2-2222-2-2222222-20000000022-2-200000000-2-200000000−2i2i−2i2i00000000
χ312222-2-2-2-2222-2-22-2-2-2-22-200000000-2-2220000000022000000002i−2i−2i2i00000000
χ322222-2-2-2-2222-2-22-2-2-2-22-200000000-2-222000000002200000000−2i2i2i−2i00000000
χ332222-2-2-2-22-2-22222222-2200000000-2-22200000000-2-200002i−2i2i−2i000000000000
χ342222-2-2-2-22-2-22222222-2200000000-2-22200000000-2-20000−2i2i−2i2i000000000000
χ352222-2-2-2-22-2-2222-2-2-2-2-220000000022-2-2000000002200002i−2i−2i2i000000000000
χ362222-2-2-2-22-2-2222-2-2-2-2-220000000022-2-200000000220000−2i2i2i−2i000000000000
χ37444444-4-4-444-4-4-40000-44000000000000000000000000000000000000000000
χ38444444-4-4-4-4-444-400004-4000000000000000000000000000000000000000000
χ3944-4-400000004i−4i02i22i2−2i2−2i20022-2-22i2i−2i−2i0022−22002i2−2i20022−220000000000000000000000
χ4044-4-400000004i−4i02i22i2−2i2−2i200-2-222−2i−2i2i2i0022−2200−2i22i200−22220000000000000000000000
χ4144-4-400000004i−4i0−2i2−2i22i22i20022-2-22i2i−2i−2i00−222200−2i22i200−22220000000000000000000000
χ4244-4-400000004i−4i0−2i2−2i22i22i200-2-222−2i−2i2i2i00−2222002i2−2i20022−220000000000000000000000
χ4344-4-40000000−4i4i02i22i2−2i2−2i20022-2-2−2i−2i2i2i00−2222002i2−2i200−22220000000000000000000000
χ4444-4-40000000−4i4i02i22i2−2i2−2i200-2-2222i2i−2i−2i00−222200−2i22i20022−220000000000000000000000
χ4544-4-40000000−4i4i0−2i2−2i22i22i20022-2-2−2i−2i2i2i0022−2200−2i22i20022−220000000000000000000000
χ4644-4-40000000−4i4i0−2i2−2i22i22i200-2-2222i2i−2i−2i0022−22002i2−2i200−22220000000000000000000000
χ474-44-4000004i−4i00022−2222−22002-22-22i−2i2i−2i2i2−2i20022−22002i2−2i2000000000000000000000000
χ484-44-4000004i−4i00022−2222−2200-22-22−2i2i−2i2i2i2−2i200−222200−2i22i2000000000000000000000000
χ494-44-4000004i−4i000−2222−2222002-22-22i−2i2i−2i−2i22i200−222200−2i22i2000000000000000000000000
χ504-44-4000004i−4i000−2222−222200-22-22−2i2i−2i2i−2i22i20022−22002i2−2i2000000000000000000000000
χ514-44-400000−4i4i00022−2222−22002-22-2−2i2i−2i2i−2i22i20022−2200−2i22i2000000000000000000000000
χ524-44-400000−4i4i00022−2222−2200-22-222i−2i2i−2i−2i22i200−2222002i2−2i2000000000000000000000000
χ534-44-400000−4i4i000−2222−2222002-22-2−2i2i−2i2i2i2−2i200−2222002i2−2i2000000000000000000000000
χ544-44-400000−4i4i000−2222−222200-22-222i−2i2i−2i2i2−2i20022−2200−2i22i2000000000000000000000000
χ554-4-444-44-440000-44i−4i−4i4i00000000000000000000004i−4i00000000000000000000
χ564-4-444-44-440000-4−4i4i4i−4i0000000000000000000000−4i4i00000000000000000000
χ574-4-444-4-44-4000040000004-4-4400000000000000000000000000000000000000
χ584-4-444-4-44-400004000000-444-400000000000000000000000000000000000000
χ594-4-44-444-4-40000400000000004-4-440000000000000000000000000000000000
χ604-4-44-444-4-4000040000000000-444-40000000000000000000000000000000000
χ614-4-44-44-4440000-44i−4i−4i4i0000000000000000000000−4i4i00000000000000000000
χ624-4-44-44-4440000-4−4i4i4i−4i00000000000000000000004i−4i00000000000000000000

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