Finite Group Databasebeta

← Group #338445

Character table — Group #338445

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888882244444488888888444
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-1-1-1111-111-11-1-1-1-111-1-11-1-1
χ31111111111111111111111-1-111-1-111-1-1-1-11-111111-111-1-1-1-1-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-111-1-11
χ511111111111111111111-1-1111111111111-1-111-1-11-1-1-11111-1-1-1-1-1
χ611111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111-111
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-1111-1-111-1-1-1-1-1-1111-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111111-1-1-1-111-1
χ9111111111111111111-1-11111111111111111-1-1-1-1-1111-1-1-1-111-1-1-1
χ10111111111111111111-1-11111-1-111-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1-111
χ11111111111111111111-1-111-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-11-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-11-1-11-1-1-1-1-1111111-1
χ13111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-11111-1-1111-1-1
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-11-1-1111111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-111-1-1-1-11
χ17222222222-22-22-22-2-2-200222200-2-2000000-2-200000200000000000
χ18222222222-22-22-22-2-2-20022-2-20022000000-2200000-200000000000
χ19222222222-22-22-22-2-2-200-2-22200-2-20000002200000-200000000000
χ20222222222-22-22-22-2-2-200-2-2-2-200220000002-200000200000000000
χ2122222222-22-22-22-22-2-22200002200-2-2000000-2200-2000000000000
χ2222222222-22-22-22-22-2-2220000-2-20022000000-2-2002000000000000
χ2322222222-22-22-22-22-2-2-2-200002200-2-20000002-2002000000000000
χ2422222222-22-22-22-22-2-2-2-20000-2-200220000002200-2000000000000
χ2522-2-2-2-22222-2-222-2-22-2000000000000000000002i−2i00002-2002i−2i000
χ2622-2-2-2-22222-2-222-2-22-2000000000000000000002i−2i0000-2200−2i2i000
χ2722-2-2-2-22222-2-222-2-22-200000000000000000000−2i2i00002-200−2i2i000
χ2822-2-2-2-22222-2-222-2-22-200000000000000000000−2i2i0000-22002i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ304444-4-4-4-40000000000000022−2222−22000022-2-20000000000000000000
χ314444-4-4-4-40000000000000022−22−22220000-2-2220000000000000000000
χ324444-4-4-4-400000000000000−222222−220000-2-2220000000000000000000
χ334444-4-4-4-400000000000000−2222−2222000022-2-20000000000000000000
χ3444-4-4-4-4444-4-444-4-44-4400000000000000000000000000000000000
χ3544-4-4-4-444-444-4-444-4-4400000000000000000000000000000000000
χ3644-4-4-4-444-4-444-4-4444-400000000000000000000000000000000000
χ374-44-44-44-4040-40-404004i−4i000000000000000000000000000000000
χ384-44-44-44-4040-40-40400−4i4i000000000000000000000000000000000
χ394-44-44-44-40-404040-40000000000000000000000000000002i2−2i200000
χ404-44-44-44-40-404040-4000000000000000000000000000000−2i22i200000
χ414-44-4-44-444040-40-4000004i−4i0000000000000000000000000000000
χ424-44-4-44-444040-40-400000−4i4i0000000000000000000000000000000
χ434-44-4-44-44-40-4040400000000000000000000000000022−22000000000
χ444-44-4-44-44-40-40404000000000000000000000000000−2222000000000
χ454-4-444-4-4440-40-4040000000000000002i2−2i22i2−2i20000000000000000000
χ464-4-444-4-4440-40-404000000000000000−2i22i2−2i22i20000000000000000000
χ474-4-444-4-44-404040-4000000000004i−4i0000000000000000000000000
χ484-4-444-4-44-404040-400000000000−4i4i0000000000000000000000000
χ494-4-44-444-404040-40-4000000000000002i2−2i2−2i22i20000000000000000000
χ504-4-44-444-404040-40-400000000000000−2i22i22i2−2i20000000000000000000
χ514-4-44-444-40-40-404040000000000004-400000000000000000000000
χ524-4-44-444-40-40-40404000000000000-4400000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000

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