Finite Group Databasebeta

← Group #6432445

Character table — Group #6432445

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222222288888888888888888888888888881111222222222222228888888888888888888888888888
order12442222222444444444444444444488888888888888882244222222244444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111
χ111111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ121111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-11111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111
χ141111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111111-1-1-1-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111111-1-1-1-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111111-1-1-1-11-1-111-1-111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-111111-1-1-1-11-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ17222222-2-22-2-22-222-2-2-2000000002i−2i2i−2i0000000000000000222222-2-22-2-22-222-2-2-2000000002i−2i2i−2i0000000000000000
χ18222222-2-22-2-22-222-2-2-200000000−2i2i−2i2i0000000000000000222222-2-22-2-22-222-2-2-200000000−2i2i−2i2i0000000000000000
χ1922222-22-2-22-2-222-22-2-200002i−2i2i−2i0000000000000000000022222-22-2-22-2-222-22-2-200002i−2i2i−2i00000000000000000000
χ2022222-22-2-22-2-222-22-2-20000−2i2i−2i2i0000000000000000000022222-22-2-22-2-222-22-2-20000−2i2i−2i2i00000000000000000000
χ2122222-2-22-2-22-2-22-2-222000000000000000000002-22-2000022222-2-22-2-22-2-22-2-222000000000000000000002-22-20000
χ2222222-2-22-2-22-2-22-2-22200000000000000000000-22-22000022222-2-22-2-22-2-22-2-22200000000000000000000-22-220000
χ232222-222-2-2-22-2-2-222-22000000000000000000002-2-2200002222-222-2-2-22-2-2-222-22000000000000000000002-2-220000
χ242222-222-2-2-22-2-2-222-2200000000000000000000-222-200002222-222-2-2-22-2-2-222-2200000000000000000000-222-20000
χ252222-22-22-22-2-22-22-22-200002i−2i−2i2i000000000000000000002222-22-22-22-2-22-22-22-200002i−2i−2i2i00000000000000000000
χ262222-22-22-22-2-22-22-22-20000−2i2i2i−2i000000000000000000002222-22-22-22-2-22-22-22-20000−2i2i2i−2i00000000000000000000
χ272222-2-2222-2-22-2-2-222-2000000002i−2i−2i2i00000000000000002222-2-2222-2-22-2-2-222-2000000002i−2i−2i2i0000000000000000
χ282222-2-2222-2-22-2-2-222-200000000−2i2i2i−2i00000000000000002222-2-2222-2-22-2-2-222-200000000−2i2i2i−2i0000000000000000
χ2922-2-22222222-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i22-2-22222222-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i
χ3022-2-22222222-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i22-2-22222222-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i
χ3122-2-222-2-22-2-2-22-2-22220000000000002i−2i2i−2i00000000000022-2-222-2-22-2-2-22-2-22220000000000002i−2i2i−2i000000000000
χ3222-2-222-2-22-2-2-22-2-2222000000000000−2i2i−2i2i00000000000022-2-222-2-22-2-2-22-2-2222000000000000−2i2i−2i2i000000000000
χ3322-2-22-22-2-22-22-2-22-22200000000000000002i−2i2i−2i0000000022-2-22-22-2-22-22-2-22-22200000000000000002i−2i2i−2i00000000
χ3422-2-22-22-2-22-22-2-22-2220000000000000000−2i2i−2i2i0000000022-2-22-22-2-22-22-2-22-2220000000000000000−2i2i−2i2i00000000
χ3522-2-22-2-22-2-2222-222-2-22-22-200000000000000000000000022-2-22-2-22-2-2222-222-2-22-22-2000000000000000000000000
χ3622-2-22-2-22-2-2222-222-2-2-22-2200000000000000000000000022-2-22-2-22-2-2222-222-2-2-22-22000000000000000000000000
χ3722-2-2-222-2-2-22222-2-22-22-2-2200000000000000000000000022-2-2-222-2-2-22222-2-22-22-2-22000000000000000000000000
χ3822-2-2-222-2-2-22222-2-22-2-222-200000000000000000000000022-2-2-222-2-2-22222-2-22-2-222-2000000000000000000000000
χ3922-2-2-22-22-22-22-22-22-2200000000000000002i−2i−2i2i0000000022-2-2-22-22-22-22-22-22-2200000000000000002i−2i−2i2i00000000
χ4022-2-2-22-22-22-22-22-22-220000000000000000−2i2i2i−2i0000000022-2-2-22-22-22-22-22-22-220000000000000000−2i2i2i−2i00000000
χ4122-2-2-2-2222-2-2-2222-2-220000000000002i−2i−2i2i00000000000022-2-2-2-2222-2-2-2222-2-220000000000002i−2i−2i2i000000000000
χ4222-2-2-2-2222-2-2-2222-2-22000000000000−2i2i2i−2i00000000000022-2-2-2-2222-2-2-2222-2-22000000000000−2i2i2i−2i000000000000
χ4322-2-2-2-2-2-2222-2-22222-20000000000000000000000002i−2i−2i2i22-2-2-2-2-2-2222-2-22222-20000000000000000000000002i−2i−2i2i
χ4422-2-2-2-2-2-2222-2-22222-2000000000000000000000000−2i2i2i−2i22-2-2-2-2-2-2222-2-22222-2000000000000000000000000−2i2i2i−2i
χ458-88i−8i0000000000000000000000000000000000000000008-88i−8i000000000000000000000000000000000000000000
χ468-8−8i8i0000000000000000000000000000000000000000008-8−8i8i000000000000000000000000000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ491111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111
χ501111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ52111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ53111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ54111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ551111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ561111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1
χ571111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ581111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ591111-1-1-1-111111-1-1-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11111-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1
χ601111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ611111-1-1-1-111111-1-1-1-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ621111-1-1-1-111111-1-1-1-11-1-111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-11111-111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1
χ63222222-2-22-2-22-222-2-2-2000000002i−2i2i−2i0000000000000000-2-2-2-2-2-222-222-22-2-222200000000−2i2i−2i2i0000000000000000
χ64222222-2-22-2-22-222-2-2-200000000−2i2i−2i2i0000000000000000-2-2-2-2-2-222-222-22-2-2222000000002i−2i2i−2i0000000000000000
χ6522222-22-2-22-2-222-22-2-200002i−2i2i−2i00000000000000000000-2-2-2-2-22-222-222-2-22-2220000−2i2i−2i2i00000000000000000000
χ6622222-22-2-22-2-222-22-2-20000−2i2i−2i2i00000000000000000000-2-2-2-2-22-222-222-2-22-22200002i−2i2i−2i00000000000000000000
χ6722222-2-22-2-22-2-22-2-222000000000000000000002-22-20000-2-2-2-2-222-222-222-222-2-200000000000000000000-22-220000
χ6822222-2-22-2-22-2-22-2-22200000000000000000000-22-220000-2-2-2-2-222-222-222-222-2-2000000000000000000002-22-20000
χ692222-222-2-2-22-2-2-222-22000000000000000000002-2-220000-2-2-2-22-2-2222-2222-2-22-200000000000000000000-222-20000
χ702222-222-2-2-22-2-2-222-2200000000000000000000-222-20000-2-2-2-22-2-2222-2222-2-22-2000000000000000000002-2-220000
χ712222-22-22-22-2-22-22-22-200002i−2i−2i2i00000000000000000000-2-2-2-22-22-22-222-22-22-220000−2i2i2i−2i00000000000000000000
χ722222-22-22-22-2-22-22-22-20000−2i2i2i−2i00000000000000000000-2-2-2-22-22-22-222-22-22-2200002i−2i−2i2i00000000000000000000
χ732222-2-2222-2-22-2-2-222-2000000002i−2i−2i2i0000000000000000-2-2-2-222-2-2-222-2222-2-2200000000−2i2i2i−2i0000000000000000
χ742222-2-2222-2-22-2-2-222-200000000−2i2i2i−2i0000000000000000-2-2-2-222-2-2-222-2222-2-22000000002i−2i−2i2i0000000000000000
χ7522-2-22222222-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i-2-222-2-2-2-2-2-2-22222222000000000000000000000000−2i2i−2i2i
χ7622-2-22222222-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i-2-222-2-2-2-2-2-2-222222220000000000000000000000002i−2i2i−2i
χ7722-2-222-2-22-2-2-22-2-22220000000000002i−2i2i−2i000000000000-2-222-2-222-2222-222-2-2-2000000000000−2i2i−2i2i000000000000
χ7822-2-222-2-22-2-2-22-2-2222000000000000−2i2i−2i2i000000000000-2-222-2-222-2222-222-2-2-20000000000002i−2i2i−2i000000000000
χ7922-2-22-22-2-22-22-2-22-22200000000000000002i−2i2i−2i00000000-2-222-22-222-22-222-22-2-20000000000000000−2i2i−2i2i00000000
χ8022-2-22-22-2-22-22-2-22-2220000000000000000−2i2i−2i2i00000000-2-222-22-222-22-222-22-2-200000000000000002i−2i2i−2i00000000
χ8122-2-22-2-22-2-2222-222-2-22-22-2000000000000000000000000-2-222-222-222-2-2-22-2-222-22-22000000000000000000000000
χ8222-2-22-2-22-2-2222-222-2-2-22-22000000000000000000000000-2-222-222-222-2-2-22-2-2222-22-2000000000000000000000000
χ8322-2-2-222-2-2-22222-2-22-22-2-22000000000000000000000000-2-2222-2-2222-2-2-2-222-22-222-2000000000000000000000000
χ8422-2-2-222-2-2-22222-2-22-2-222-2000000000000000000000000-2-2222-2-2222-2-2-2-222-222-2-22000000000000000000000000
χ8522-2-2-22-22-22-22-22-22-2200000000000000002i−2i−2i2i00000000-2-2222-22-22-22-22-22-22-20000000000000000−2i2i2i−2i00000000
χ8622-2-2-22-22-22-22-22-22-220000000000000000−2i2i2i−2i00000000-2-2222-22-22-22-22-22-22-200000000000000002i−2i−2i2i00000000
χ8722-2-2-2-2222-2-2-2222-2-220000000000002i−2i−2i2i000000000000-2-22222-2-2-2222-2-2-222-2000000000000−2i2i2i−2i000000000000
χ8822-2-2-2-2222-2-2-2222-2-22000000000000−2i2i2i−2i000000000000-2-22222-2-2-2222-2-2-222-20000000000002i−2i−2i2i000000000000
χ8922-2-2-2-2-2-2222-2-22222-20000000000000000000000002i−2i−2i2i-2-2222222-2-2-222-2-2-2-22000000000000000000000000−2i2i2i−2i
χ9022-2-2-2-2-2-2222-2-22222-2000000000000000000000000−2i2i2i−2i-2-2222222-2-2-222-2-2-2-220000000000000000000000002i−2i−2i2i
χ918-88i−8i000000000000000000000000000000000000000000-88−8i8i000000000000000000000000000000000000000000
χ928-8−8i8i000000000000000000000000000000000000000000-888i−8i000000000000000000000000000000000000000000

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