Finite Group Databasebeta

← Group #485408

Character table — Group #485408

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444444444888888888888888888888161616161616323232323232
order12222222224444444444444444444444444444444244444888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11111
χ51111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-111111-1-11-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ91111-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-111-1-111-1-1111-1-11-111-11-11-1
χ101111-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-111-1-111-1-111-1111-1-1-11-11-11
χ111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-111-1-111-1-111111-1-11-111-1-11-11
χ121111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-111-1-111-1-11111-1111-1-1-111-11-1
χ131111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-111-1-11111-1-1111-1-1-111-111-1-11
χ141111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-111-1-11111-1-111-111-11-11-1-111-1
χ151111-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1-111-1-1-1-111111-1-1-111-11-111-1
χ161111-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1-111-1-1-1-11111-111-11-11-11-1-11
χ17222222222200000000-2-22-20000-22222-2-2-2-200002-2000000000000
χ18222222222200000000-2-22-20000-2-2-2-2-2222200002-2000000000000
χ19222222222200000000-2-2-222222-200000000-2-2-2-2-22000000000000
χ20222222222200000000-2-2-22-2-2-2-2-2000000002222-22000000000000
χ2122222222222222222222-2-200002000000000000-2-2000-2-20000000
χ222222222222-2-2-2-2-2-2-2-222-2-200002000000000000-2-2000220000000
χ232222-2-2-2-22200000000-2-22-222-2-2200000000-2-222-22000000000000
χ242222-2-2-2-22200000000-2-22-2-2-22220000000022-2-2-22000000000000
χ252222-2-2-2-22200000000-2-2-220000222-2-2-2-22200002-2000000000000
χ262222-2-2-2-22200000000-2-2-2200002-2-22222-2-200002-2000000000000
χ272222-2-2-2-2222222-2-2-2-222220000-2000000000000-2-2000-220000000
χ282222-2-2-2-222-2-2-2-2222222220000-2000000000000-2-20002-20000000
χ29444444-4-4-4-4000000000000000000000000000000022-200-2000000
χ30444444-4-4-4-40000000000000000000000000000000-2-22002000000
χ314444-4-444-4-400000000000000000000000000000002-2200-2000000
χ324444-4-444-4-40000000000000000000000000000000-22-2002000000
χ3344-4-44-4000022-2-222-2-200000000000002-22-22-22-200000000000000
χ3444-4-44-4000022-2-222-2-20000000000000-22-22-22-2200000000000000
χ3544-4-44-40000-2-222-2-22200000000000002-22-2-22-2200000000000000
χ3644-4-44-40000-2-222-2-2220000000000000-22-222-22-200000000000000
χ3744-4-4-44000022-2-2-2-22200000000000002-2-222-2-2200000000000000
χ3844-4-4-44000022-2-2-2-2220000000000000-222-2-222-200000000000000
χ3944-4-4-440000-2-22222-2-200000000000002-2-22-222-200000000000000
χ4044-4-4-440000-2-22222-2-20000000000000-222-22-2-2200000000000000
χ414-44-4004-4002i−2i2i−2i2i−2i2i−2i00002-22-202i−2i2i−2i0000000000000000000000
χ424-44-4004-4002i−2i2i−2i2i−2i2i−2i0000-22-220−2i2i−2i2i0000000000000000000000
χ434-44-4004-400−2i2i−2i2i−2i2i−2i2i00002-22-20−2i2i−2i2i0000000000000000000000
χ444-44-4004-400−2i2i−2i2i−2i2i−2i2i0000-22-2202i−2i2i−2i0000000000000000000000
χ454-44-400-44002i−2i2i−2i−2i2i−2i2i00002-2-2202i−2i−2i2i0000000000000000000000
χ464-44-400-44002i−2i2i−2i−2i2i−2i2i0000-222-20−2i2i2i−2i0000000000000000000000
χ474-44-400-4400−2i2i−2i2i2i−2i2i−2i00002-2-220−2i2i2i−2i0000000000000000000000
χ484-44-400-4400−2i2i−2i2i2i−2i2i−2i0000-222-202i−2i−2i2i0000000000000000000000
χ494-4-4400004-400004i−4i−4i4i4-4000000000000000000000000000000000
χ504-4-4400004-40000−4i4i4i−4i4-4000000000000000000000000000000000
χ514-4-4400004-44i−4i−4i4i0000-44000000000000000000000000000000000
χ524-4-4400004-4−4i4i4i−4i0000-44000000000000000000000000000000000
χ538-8-880000-880000000000000000000000000000000000000000000

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