Finite Group Databasebeta

← Group #6590761

Character table — Group #6590761

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12222222444444444444444488888888224444444444444444444488888888888822444444444444448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111111111-1-111-1-111
χ91111111111111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111
χ101111111111111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1
χ121111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ131111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ151111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ161111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1711111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-11-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-111111-111-1-111-1-1-11-11-11-11
χ1911111111-1-1-1-111111-1-1-1-11111111111111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1-11-1-111-1-111-11-11-11-11
χ2011111111-1-1-1-111111-1-1-1-11111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-111111-11-1-111-1-1111-11-11-11-1
χ2111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1-1111-1-1-111-1-111-111-1-111-1
χ2211111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111-111-1-11-1-1-111-1-1111-1-111-1-11
χ2311111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-111-1111-1-111-1-11-1-111-1-11
χ2411111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1111-1-1-1111-1-111-1-1-111-1-111-1
χ2511111111-1-1-1-11-1-1-1-1111111111111111-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1-1-1-1-1111-1-1-1-1111-1-11-111-1
χ2611111111-1-1-1-11-1-1-1-1111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-11111-1111-1-1-1-111-111-11-1-11
χ2711111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-1-1-11-1-1-11111-1-1-111-11-1-11
χ2811111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1111111-1-1-11111-1-11-1-11-111-1
χ2911111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-111-11-1-11111-1-1-11-111-11-1
χ3011111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11-111-1-1-11-1-11111-1-11-11-1-11-11
χ3111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1111-111-1-1-1-1111-11-1-11-11
χ3211111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1111-1-11-111-1-1-1-111-11-111-11-1
χ33222222222222-222222222-2-2-200000000-2-22222-2-222220000-2-2000000000000000000000000-2-20000-2-20000000000000000
χ34222222222222-222222222-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-20000-2-2000000000000000000000000220000220000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-2-2-2-20000-2-2000000000000000000000000-2-20000220000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-2-2-22222220000-2-2000000000000000000000000220000-2-20000000000000000
χ3722222222-2-2-2-2-22222-2-2-2-2-2-2-200000000-2-222-2-22222-2-2000022000000000000000000000000-220000-220000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2-2-200000000-2-2-2-22222-2-2220000220000000000000000000000002-200002-20000000000000000
χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-2000000002222-2-2-2-2-2-222000022000000000000000000000000-2200002-20000000000000000
χ4022222222-2-2-2-2-2-2-2-2-22222-2-2-20000000022-2-222-2-222-2-20000220000000000000000000000002-20000-220000000000000000
χ4122-22-22-2-20000-222-2-200002-222i2i2i2i−2i−2i−2i−2i2-2000000000022-2-2002i2i−2i−2i2i2i−2i−2i00000000002-2002i−2i000000000000000000000000
χ4222-22-22-2-20000-222-2-200002-222i2i2i2i−2i−2i−2i−2i2-20000000000-2-22200−2i−2i2i2i2i2i−2i−2i0000000000-2200−2i2i000000000000000000000000
χ4322-22-22-2-20000-222-2-200002-22−2i−2i−2i−2i2i2i2i2i2-2000000000022-2-200−2i−2i2i2i−2i−2i2i2i00000000002-200−2i2i000000000000000000000000
χ4422-22-22-2-20000-222-2-200002-22−2i−2i−2i−2i2i2i2i2i2-20000000000-2-222002i2i−2i−2i−2i−2i2i2i0000000000-22002i−2i000000000000000000000000
χ4522-22-22-2-20000-2-2-22200002-222i2i2i2i−2i−2i−2i−2i-22000000000022-2-2002i2i−2i−2i−2i−2i2i2i0000000000-2200−2i2i000000000000000000000000
χ4622-22-22-2-20000-2-2-22200002-222i2i2i2i−2i−2i−2i−2i-220000000000-2-22200−2i−2i2i2i−2i−2i2i2i00000000002-2002i−2i000000000000000000000000
χ4722-22-22-2-20000-2-2-22200002-22−2i−2i−2i−2i2i2i2i2i-22000000000022-2-200−2i−2i2i2i2i2i−2i−2i0000000000-22002i−2i000000000000000000000000
χ4822-22-22-2-20000-2-2-22200002-22−2i−2i−2i−2i2i2i2i2i-220000000000-2-222002i2i−2i−2i2i2i−2i−2i00000000002-200−2i2i000000000000000000000000
χ492-22-2-222-20000-200002i2i−2i−2i22-222-2-222-2-20000002i−2i00002i−2i2i−2i002i−2i2i−2i000000002i2i−2i−2i2-2002-200000000000000000000000000
χ502-22-2-222-20000-200002i2i−2i−2i22-222-2-222-2-20000002i−2i0000−2i2i−2i2i00−2i2i−2i2i000000002i2i−2i−2i-2200-2200000000000000000000000000
χ512-22-2-222-20000-200002i2i−2i−2i22-2-2-222-2-2220000002i−2i00002i−2i2i−2i00−2i2i−2i2i00000000−2i−2i2i2i-22002-200000000000000000000000000
χ522-22-2-222-20000-200002i2i−2i−2i22-2-2-222-2-2220000002i−2i0000−2i2i−2i2i002i−2i2i−2i00000000−2i−2i2i2i2-200-2200000000000000000000000000
χ532-22-2-222-20000-20000−2i−2i2i2i22-222-2-222-2-2000000−2i2i00002i−2i2i−2i002i−2i2i−2i00000000−2i−2i2i2i-2200-2200000000000000000000000000
χ542-22-2-222-20000-20000−2i−2i2i2i22-222-2-222-2-2000000−2i2i0000−2i2i−2i2i00−2i2i−2i2i00000000−2i−2i2i2i2-2002-200000000000000000000000000
χ552-22-2-222-20000-20000−2i−2i2i2i22-2-2-222-2-222000000−2i2i00002i−2i2i−2i00−2i2i−2i2i000000002i2i−2i−2i2-200-2200000000000000000000000000
χ562-22-2-222-20000-20000−2i−2i2i2i22-2-2-222-2-222000000−2i2i0000−2i2i−2i2i002i−2i2i−2i000000002i2i−2i−2i-22002-200000000000000000000000000
χ572-2-222-22-222-2-202i−2i2i−2i2i−2i2i−2i000i2−i2i2−i2i2−i2i2−i2002i−2i2i−2i002-22-200000000002−22−2i2i2−i2−i22−22−200000000000000002−22−2i2−i2i2−i200000000
χ582-2-222-22-222-2-202i−2i2i−2i2i−2i2i−2i000i2−i2i2−i2i2−i2i2−i200−2i2i−2i2i00-22-2200000000002−22−2i2i2−i2−i22−22−20000000000000000−22−22−i2i2−i2i200000000
χ592-2-222-22-222-2-202i−2i2i−2i2i−2i2i−2i000−i2i2−i2i2−i2i2−i2i2002i−2i2i−2i002-22-20000000000−22−22−i2−i2i2i2−22−220000000000000000−22−22−i2i2−i2i200000000
χ602-2-222-22-222-2-202i−2i2i−2i2i−2i2i−2i000−i2i2−i2i2−i2i2−i2i200−2i2i−2i2i00-22-220000000000−22−22−i2−i2i2i2−22−2200000000000000002−22−2i2−i2i2−i200000000
χ612-2-222-22-222-2-20−2i2i−2i2i−2i2i−2i2i000i2−i2i2−i2i2−i2i2−i2002i−2i2i−2i00-22-220000000000−22−22i2i2−i2−i2−22−2200000000000000002−22−2−i2i2−i2i200000000
χ622-2-222-22-222-2-20−2i2i−2i2i−2i2i−2i2i000i2−i2i2−i2i2−i2i2−i200−2i2i−2i2i002-22-20000000000−22−22i2i2−i2−i2−22−220000000000000000−22−22i2−i2i2−i200000000
χ632-2-222-22-222-2-20−2i2i−2i2i−2i2i−2i2i000−i2i2−i2i2−i2i2−i2i2002i−2i2i−2i00-22-2200000000002−22−2−i2−i2i2i22−22−20000000000000000−22−22i2−i2i2−i200000000
χ642-2-222-22-222-2-20−2i2i−2i2i−2i2i−2i2i000−i2i2−i2i2−i2i2−i2i200−2i2i−2i2i002-22-200000000002−22−2−i2−i2i2i22−22−200000000000000002−22−2−i2i2−i2i200000000
χ652-2-222-22-2-2-22202i−2i2i−2i−2i2i−2i2i000i2−i2i2−i2i2−i2i2−i2002i−2i−2i2i002-2-2200000000002−22−2−i2−i2i2i2−22−2200000000000000002−2−22i2−i2−i2i200000000
χ662-2-222-22-2-2-22202i−2i2i−2i−2i2i−2i2i000i2−i2i2−i2i2−i2i2−i200−2i2i2i−2i00-222-200000000002−22−2−i2−i2i2i2−22−220000000000000000−222−2−i2i2i2−i200000000
χ672-2-222-22-2-2-22202i−2i2i−2i−2i2i−2i2i000−i2i2−i2i2−i2i2−i2i2002i−2i−2i2i002-2-220000000000−22−22i2i2−i2−i22−22−20000000000000000−222−2−i2i2i2−i200000000
χ682-2-222-22-2-2-22202i−2i2i−2i−2i2i−2i2i000−i2i2−i2i2−i2i2−i2i200−2i2i2i−2i00-222-20000000000−22−22i2i2−i2−i22−22−200000000000000002−2−22i2−i2−i2i200000000
χ692-2-222-22-2-2-2220−2i2i−2i2i2i−2i2i−2i000i2−i2i2−i2i2−i2i2−i2002i−2i−2i2i00-222-20000000000−22−22−i2−i2i2i22−22−200000000000000002−2−22−i2i2i2−i200000000
χ702-2-222-22-2-2-2220−2i2i−2i2i2i−2i2i−2i000i2−i2i2−i2i2−i2i2−i200−2i2i2i−2i002-2-220000000000−22−22−i2−i2i2i22−22−20000000000000000−222−2i2−i2−i2i200000000
χ712-2-222-22-2-2-2220−2i2i−2i2i2i−2i2i−2i000−i2i2−i2i2−i2i2−i2i2002i−2i−2i2i00-222-200000000002−22−2i2i2−i2−i2−22−220000000000000000−222−2i2−i2−i2i200000000
χ722-2-222-22-2-2-2220−2i2i−2i2i2i−2i2i−2i000−i2i2−i2i2−i2i2−i2i200−2i2i2i−2i002-2-2200000000002−22−2i2i2−i2−i2−22−2200000000000000002−2−22−i2i2i2−i200000000
χ732-2-2-222-222-22-22000000002-2-22i2i−2i−2i−2i−2i2i2i0000000000002i−2i−2i2i2-2-222-200002i−2i2i−2i000000000000002i−2i2-2000000000000000000
χ742-2-2-222-222-22-22000000002-2-22i2i−2i−2i−2i−2i2i2i000000000000−2i2i2i−2i2-22-2-2200002i−2i2i−2i00000000000000−2i2i-22000000000000000000
χ752-2-2-222-222-22-22000000002-2-2−2i−2i2i2i2i2i−2i−2i0000000000002i−2i−2i2i2-22-2-220000−2i2i−2i2i000000000000002i−2i-22000000000000000000
χ762-2-2-222-222-22-22000000002-2-2−2i−2i2i2i2i2i−2i−2i000000000000−2i2i2i−2i2-2-222-20000−2i2i−2i2i00000000000000−2i2i2-2000000000000000000
χ772-2-2-222-22-22-222000000002-2-22i2i−2i−2i−2i−2i2i2i0000000000002i−2i−2i2i-22-222-20000−2i2i−2i2i00000000000000−2i2i-22000000000000000000
χ782-2-2-222-22-22-222000000002-2-22i2i−2i−2i−2i−2i2i2i000000000000−2i2i2i−2i-222-2-220000−2i2i−2i2i000000000000002i−2i2-2000000000000000000
χ792-2-2-222-22-22-222000000002-2-2−2i−2i2i2i2i2i−2i−2i0000000000002i−2i−2i2i-222-2-2200002i−2i2i−2i00000000000000−2i2i2-2000000000000000000
χ802-2-2-222-22-22-222000000002-2-2−2i−2i2i2i2i2i−2i−2i000000000000−2i2i2i−2i-22-222-200002i−2i2i−2i000000000000002i−2i-22000000000000000000
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χ914-444-4-4-44000004i−4i−4i4i000000022−2222−22−2222−22220000000000000000000000−2i22i22i2−2i20000000000000000000000000000000000000000
χ924-444-4-4-44000004i−4i−4i4i0000000−2222−222222−2222−2200000000000000000000002i2−2i2−2i22i20000000000000000000000000000000000000000
χ934-444-4-4-4400000−4i4i4i−4i000000022−2222−22−2222−222200000000000000000000002i2−2i2−2i22i20000000000000000000000000000000000000000
χ944-444-4-4-4400000−4i4i4i−4i0000000−2222−222222−2222−220000000000000000000000−2i22i22i2−2i20000000000000000000000000000000000000000
χ954-44-4-444-40000400004i4i−4i−4i-4-4400000000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ964-44-4-444-4000040000−4i−4i4i4i-4-44000000000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ974-4-4-444-444-44-4-400000000-444000000000000000000000000-44000000000000000000000000000000000000000000000000
χ984-4-4-444-44-44-44-400000000-4440000000000000000000000004-4000000000000000000000000000000000000000000000000

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