Finite Group Databasebeta

← Group #6432049

Character table — Group #6432049

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222244444444444488888888888888888888888888888888888888888888888888
order12222222222244444444444444444444444422448888888822222222222444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111111111111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111111111-1-1-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-111-1-11111-1-111-1-111-1-1-1-1-11-1-1-1-1-11-11111-1-111-1-111-1-1-1-111-1-1
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-111-1-1-1-111-1-111-1-111-1111-111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-11-1-1-1111-11111-1-1-1-111-1-11111-1-111
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1111-111-1-11-1-1-1-1-1111111-1-11111-1-111
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111111-11-1-1-1-1-1111-1-11111-1-111-1-111-1-111
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11111-1-11111-1-111-1-11-1-1-111111-11-1-111-1-1-1-1-1-111-1-111-1-111
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-1111-11-1-111-1111-1-111-1-111-1-111-1-111-1-1
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111-1-1111-1-1-1111-1-1-11-1-111-1-11111-1-111-1-111-1-1
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-111-1-1-1-111-1-1-1-11111-1-1-111-111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-11111-1-11111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-111
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-111-1111-1-1-11-1-111-1-1111111-1-11111-1-1
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-111-1111-1-111-1-11111-1-11111-1-1
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111-1-11111-1-111-1-1-1-1111-1-11-111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-11-11111-1-111-1-1-1-1111111-1-1
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11111-1-11-1-11-111-1-11-1-1-1-1-111111111-1-1-1-1-1-111
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-1-1-1111111-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-111
χ33222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2000000002000000000000000000-2002-20000-2200000000000000000000
χ34222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22200000000-2000000000000000000200-2200002-200000000000000000000
χ35222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2000000002000000000000000000-200-2200002-200000000000000000000
χ36222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200000000-20000000000000000002002-20000-2200000000000000000000
χ3722222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-200000000-2000000000000000000200220000-2-200000000000000000000
χ3822222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000002000000000000000000-200-2-200002200000000000000000000
χ3922222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-200000000-2000000000000000000200-2-200002200000000000000000000
χ4022222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222000000002000000000000000000-200220000-2-200000000000000000000
χ4122-2-222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-200000000000000000002-22-20000000000000002i−2i000000002i−2i000000000000
χ4222-2-222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-20000000000000000000-22-22000000000000000−2i2i00000000−2i2i000000000000
χ4322-2-222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-200000000000000000002-22-2000000000000000−2i2i00000000−2i2i000000000000
χ4422-2-222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000-22-220000000000000002i−2i000000002i−2i000000000000
χ4522-2-222-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-222000000000000000000000002i−2i2i−2i2-22-20000000000000000000000000000000
χ4622-2-222-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-22200000000000000000000000−2i2i−2i2i-22-220000000000000000000000000000000
χ4722-2-222-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-222000000000000000000000002i−2i2i−2i-22-220000000000000000000000000000000
χ4822-2-222-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-22200000000000000000000000−2i2i−2i2i2-22-20000000000000000000000000000000
χ4922-2-222-2-2-2-22222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-222000000000000000000000002i−2i−2i2i2-2-220000000000000000000000000000000
χ5022-2-222-2-2-2-22222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-22200000000000000000000000−2i2i2i−2i-222-20000000000000000000000000000000
χ5122-2-222-2-2-2-22222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-222000000000000000000000002i−2i−2i2i-222-20000000000000000000000000000000
χ5222-2-222-2-2-2-22222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-22200000000000000000000000−2i2i2i−2i2-2-220000000000000000000000000000000
χ5322-2-222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-200000000000000000002-2-22000000000000000−2i2i000000002i−2i000000000000
χ5422-2-222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-20000000000000000000-222-20000000000000002i−2i00000000−2i2i000000000000
χ5522-2-222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-200000000000000000002-2-220000000000000002i−2i00000000−2i2i000000000000
χ5622-2-222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-20000000000000000000-222-2000000000000000−2i2i000000002i−2i000000000000
χ572-222-22-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-2000000002i2i−2i−2i000000000000000000000000000000000000000000002i−2i2-22-2
χ582-222-22-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-200000000−2i−2i2i2i00000000000000000000000000000000000000000000−2i2i-22-22
χ592-222-22-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-2000000002i2i−2i−2i000000000000000000000000000000000000000000002i−2i-22-22
χ602-222-22-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-200000000−2i−2i2i2i00000000000000000000000000000000000000000000−2i2i2-22-2
χ612-222-22-2-22-22-2-22-222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-22-22000022-2-20000000000000000000000000000000000000000002-22i−2i2i−2i000000
χ622-222-22-2-22-22-2-22-222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-22-220000-2-222000000000000000000000000000000000000000000-22−2i2i−2i2i000000
χ632-222-22-2-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-22-22000022-2-20000000000000000000000000000000000000000002-2−2i2i−2i2i000000
χ642-222-22-2-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-22-220000-2-222000000000000000000000000000000000000000000-222i−2i2i−2i000000
χ652-222-22-2-2-22-222-22-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i-22-22000022-2-2000000000000000000000000000000000000000000-222i−2i−2i2i000000
χ662-222-22-2-2-22-222-22-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i-22-220000-2-2220000000000000000000000000000000000000000002-2−2i2i2i−2i000000
χ672-222-22-2-2-22-222-22-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i-22-22000022-2-2000000000000000000000000000000000000000000-22−2i2i2i−2i000000
χ682-222-22-2-2-22-222-22-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i-22-220000-2-2220000000000000000000000000000000000000000002-22i−2i−2i2i000000
χ692-222-22-2-2-22-22-22-222i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2-22-2000000002i2i−2i−2i00000000000000000000000000000000000000000000−2i2i2-2-22
χ702-222-22-2-2-22-22-22-222i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2-22-200000000−2i−2i2i2i000000000000000000000000000000000000000000002i−2i-222-2
χ712-222-22-2-2-22-22-22-22−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i2-22-2000000002i2i−2i−2i00000000000000000000000000000000000000000000−2i2i-222-2
χ722-222-22-2-2-22-22-22-22−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i2-22-200000000−2i−2i2i2i000000000000000000000000000000000000000000002i−2i2-2-22
χ732-2-2-2-22222-2-222-2-222-2-222-2-222-2-222-2-222-2-22000000000000000002-200000000000002-200000000002-22-200000000000000
χ742-2-2-2-22222-2-222-2-222-2-222-2-222-2-222-2-222-2-2200000000000000000-220000000000000-220000000000-22-2200000000000000
χ752-2-2-2-22222-2-222-2-22-222-2-222-2-222-2-222-22-2-22000000000000000002-200000000000002-20000000000-22-2200000000000000
χ762-2-2-2-22222-2-222-2-22-222-2-222-2-222-2-222-22-2-2200000000000000000-220000000000000-2200000000002-22-200000000000000
χ772-2-2-2-22222-2-22-222-22-2-22-222-2-222-22-2-22-222-200000000000002-22-200000000000000000002-200002-2000000000000000000
χ782-2-2-2-22222-2-22-222-22-2-22-222-2-222-22-2-22-222-20000000000000-22-220000000000000000000-220000-22000000000000000000
χ792-2-2-2-22222-2-22-222-2-222-22-2-222-2-22-222-2-222-200000000000002-22-20000000000000000000-220000-22000000000000000000
χ802-2-2-2-22222-2-22-222-2-222-22-2-222-2-22-222-2-222-20000000000000-22-2200000000000000000002-200002-2000000000000000000
χ812-2-2-2-2222-222-22-2-222-2-222-2-22-222-2-222-2-222-200000000000002-2-220000000000000000000-2200002-2000000000000000000
χ822-2-2-2-2222-222-22-2-222-2-222-2-22-222-2-222-2-222-20000000000000-222-200000000000000000002-20000-22000000000000000000
χ832-2-2-2-2222-222-22-2-22-222-2-222-22-2-222-2-22-222-200000000000002-2-2200000000000000000002-20000-22000000000000000000
χ842-2-2-2-2222-222-22-2-22-222-2-222-22-2-222-2-22-222-20000000000000-222-20000000000000000000-2200002-2000000000000000000
χ852-2-2-2-2222-222-2-222-22-2-22-222-22-2-22-222-22-2-22000000000000000002-20000000000000-2200000000002-2-2200000000000000
χ862-2-2-2-2222-222-2-222-22-2-22-222-22-2-22-222-22-2-2200000000000000000-2200000000000002-20000000000-222-200000000000000
χ872-2-2-2-2222-222-2-222-2-222-22-2-22-222-22-2-222-2-22000000000000000002-20000000000000-220000000000-222-200000000000000
χ882-2-2-2-2222-222-2-222-2-222-22-2-22-222-22-2-222-2-2200000000000000000-2200000000000002-200000000002-2-2200000000000000
χ89444-4-4-44-40000000000000000000000000000004i−4i22−2222−222i2−2i22i2−2i200000000000000000000000000000000000000000000000000
χ90444-4-4-44-40000000000000000000000000000004i−4i−2222−2222−2i22i2−2i22i200000000000000000000000000000000000000000000000000
χ91444-4-4-44-4000000000000000000000000000000−4i4i22−2222−22−2i22i2−2i22i200000000000000000000000000000000000000000000000000
χ92444-4-4-44-4000000000000000000000000000000−4i4i−2222−22222i2−2i22i2−2i200000000000000000000000000000000000000000000000000
χ934-44-44-4-4400000000000000000000000000004-40022−22−222222−22−222200000000000000000000000000000000000000000000000000
χ944-44-44-4-4400000000000000000000000000004-400−222222−22−222222−2200000000000000000000000000000000000000000000000000
χ954-44-44-4-440000000000000000000000000000-440022−22−2222−222222−2200000000000000000000000000000000000000000000000000
χ964-44-44-4-440000000000000000000000000000-4400−222222−2222−22−222200000000000000000000000000000000000000000000000000
χ9788-88-8-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-888-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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