Finite Group Databasebeta

← Group #323309

Character table — Group #323309

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888884444448888888888888888888888888888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1
χ911111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ1011111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ1111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ1211111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2-2-222-2-20000000000000000-2-222-2-20000000000000000000000002222-2-2-2-22222-2-2-2-2000000000000
χ1822222222222222-2-2-2-2-2-222-2-20000000000000000-2-222-2-2000000000000000000000000-2-2-2-22222-2-2-2-22222000000000000
χ19222222222222-2-222-2-2-2-2-2-2220000000000000000-2-2-2-222000000002222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ20222222222222-2-222-2-2-2-2-2-2220000000000000000-2-2-2-22200000000-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ21222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ22222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2322222222-2-2-2-222-2-2-2-2-2-222-2-2000000000000000022-2-2220000000000000000000000002222-2-2-2-2-2-2-2-22222000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-222-2-2000000000000000022-2-222000000000000000000000000-2-2-2-222222222-2-2-2-2000000000000
χ2522222222-2-2-2-2-2-222-2-2-2-2-2-22200000000000000002222-2-2000000002222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-2-2-2-2-22200000000000000002222-2-200000000-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ292222-2-2-2-222-2-2000022-2-20000000000002222-2-2-2-22-20000000022-2-222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000
χ302222-2-2-2-222-2-2000022-2-20000000000002222-2-2-2-22-20000000022-2-2−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000
χ312222-2-2-2-222-2-2000022-2-2000000000000-2-2-2-222222-200000000-2-22222−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222000000000000
χ322222-2-2-2-222-2-2000022-2-2000000000000-2-2-2-222222-200000000-2-222−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000
χ332222-2-2-2-222-2-20000-2-22200002222-2-2-2-200000000-22000022-2-2000022−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222000000000000
χ342222-2-2-2-222-2-20000-2-22200002222-2-2-2-200000000-22000022-2-20000−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2000000000000
χ352222-2-2-2-222-2-20000-2-2220000-2-2-2-2222200000000-220000-2-222000022−2−2−2−22222−2−2−2−222−2−22222−2−2−2−22222−2−2000000000000
χ362222-2-2-2-222-2-20000-2-2220000-2-2-2-2222200000000-220000-2-2220000−2−22222−2−2−2−22222−2−222−2−2−2−22222−2−2−2−222000000000000
χ372222-2-2-2-2-2-222000022-2-20000000000002222-2-2-2-2-2200000000-2-22222−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−222000000000000
χ382222-2-2-2-2-2-222000022-2-20000000000002222-2-2-2-2-2200000000-2-222−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2000000000000
χ392222-2-2-2-2-2-222000022-2-2000000000000-2-2-2-22222-220000000022-2-222−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−2000000000000
χ402222-2-2-2-2-2-222000022-2-2000000000000-2-2-2-22222-220000000022-2-2−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−222000000000000
χ412222-2-2-2-2-2-2220000-2-22200002222-2-2-2-2000000002-20000-2-222000022−2−2−2−222−2−22222−2−222−2−2−2−222−2−22222−2−2000000000000
χ422222-2-2-2-2-2-2220000-2-22200002222-2-2-2-2000000002-20000-2-2220000−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2−2−222000000000000
χ432222-2-2-2-2-2-2220000-2-2220000-2-2-2-22222000000002-2000022-2-2000022−2−2−2−222−2−22222−2−2−2−22222−2−222−2−2−2−222000000000000
χ442222-2-2-2-2-2-2220000-2-2220000-2-2-2-22222000000002-2000022-2-20000−2−22222−2−222−2−2−2−22222−2−2−2−222−2−22222−2−2000000000000
χ4522-2-222-2-2000022222-22-2-2-2-2-222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000002-22-200000000
χ4622-2-222-2-2000022222-22-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000-22-2200000000
χ4722-2-222-2-2000022222-22-2-2-2-2-2-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000002-2-2200000000
χ4822-2-222-2-2000022222-22-2-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000-222-200000000
χ4922-2-222-2-20000-2-2-2-22-22-2222222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ5022-2-222-2-20000-2-2-2-22-22-2222222-2-222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ5122-2-222-2-20000-2-2-2-22-22-22222-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ5222-2-222-2-20000-2-2-2-22-22-22222-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ532-22-22-22-22i−2i2i−2i002-20000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i2−22−22−22−200002i−2i2i−2i00002-22-22−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ542-22-22-22-22i−2i2i−2i002-20000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i2−22−22−22−20000−2i2i−2i2i0000-22-22−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ552-22-22-22-22i−2i2i−2i002-20000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i−22−22−22−2200002i−2i2i−2i00002-22-2−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ562-22-22-22-22i−2i2i−2i002-20000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i−22−22−22−220000−2i2i−2i2i0000-22-222−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ572-22-22-22-22i−2i2i−2i00-22000000-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000−2i2i2−22−2−22−222i−2i2i−2i00002-22-200002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ582-22-22-22-22i−2i2i−2i00-22000000-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000−2i2i2−22−2−22−22−2i2i−2i2i0000-22-220000−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ592-22-22-22-22i−2i2i−2i00-22000000-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000−2i2i−22−222−22−22i−2i2i−2i00002-22-20000−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ602-22-22-22-22i−2i2i−2i00-22000000-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000−2i2i−22−222−22−2−2i2i−2i2i0000-22-2200002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ612-22-22-22-2−2i2i−2i2i002-20000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i−22−22−22−2200002i−2i2i−2i0000-22-222−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ622-22-22-22-2−2i2i−2i2i002-20000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i−22−22−22−220000−2i2i−2i2i00002-22-2−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ632-22-22-22-2−2i2i−2i2i002-20000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i2−22−22−22−200002i−2i2i−2i0000-22-22−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ642-22-22-22-2−2i2i−2i2i002-20000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i2−22−22−22−20000−2i2i−2i2i00002-22-22−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ652-22-22-22-2−2i2i−2i2i00-22000000-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200002i−2i−22−222−22−22i−2i2i−2i0000-22-2200002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ662-22-22-22-2−2i2i−2i2i00-22000000-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200002i−2i−22−222−22−2−2i2i−2i2i00002-22-20000−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ672-22-22-22-2−2i2i−2i2i00-22000000-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200002i−2i2−22−2−22−222i−2i2i−2i0000-22-220000−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ682-22-22-22-2−2i2i−2i2i00-22000000-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200002i−2i2−22−2−22−22−2i2i−2i2i00002-22-200002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ692-22-2-22-222i−2i−2i2i2-20000002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2002i−2i002−2−222−2−22i2−i2−i2i2i2−i2−i2i22−2−222−2−2200002-2-2200002i−2i−2i2i000000000000
χ702-22-2-22-222i−2i−2i2i2-20000002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2002i−2i002−2−222−2−22−i2i2i2−i2−i2i2i2−i2−222−2−222−20000-222-20000−2i2i2i−2i000000000000
χ712-22-2-22-222i−2i−2i2i2-20000002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2002i−2i00−222−2−222−2i2−i2−i2i2i2−i2−i2i22−2−222−2−220000-222-20000−2i2i2i−2i000000000000
χ722-22-2-22-222i−2i−2i2i2-20000002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2002i−2i00−222−2−222−2−i2i2i2−i2−i2i2i2−i2−222−2−222−200002-2-2200002i−2i−2i2i000000000000
χ732-22-2-22-222i−2i−2i2i-22000000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200−2i2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i22−2−22−222−22-2-2200002i−2i−2i2i0000000000000000
χ742-22-2-22-222i−2i−2i2i-22000000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200−2i2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i2−222−22−2−22-222-20000−2i2i2i−2i0000000000000000
χ752-22-2-22-222i−2i−2i2i-22000000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200−2i2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i22−2−22−222−2-222-20000−2i2i2i−2i0000000000000000
χ762-22-2-22-222i−2i−2i2i-22000000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200−2i2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i2−222−22−2−222-2-2200002i−2i−2i2i0000000000000000
χ772-22-2-22-22−2i2i2i−2i2-20000002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200−2i2i00−222−2−222−2i2−i2−i2i2i2−i2−i2i2−222−2−222−200002-2-220000−2i2i2i−2i000000000000
χ782-22-2-22-22−2i2i2i−2i2-20000002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200−2i2i00−222−2−222−2−i2i2i2−i2−i2i2i2−i22−2−222−2−220000-222-200002i−2i−2i2i000000000000
χ792-22-2-22-22−2i2i2i−2i2-20000002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200−2i2i002−2−222−2−22i2−i2−i2i2i2−i2−i2i2−222−2−222−20000-222-200002i−2i−2i2i000000000000
χ802-22-2-22-22−2i2i2i−2i2-20000002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200−2i2i002−2−222−2−22−i2i2i2−i2−i2i2i2−i22−2−222−2−2200002-2-220000−2i2i2i−2i000000000000
χ812-22-2-22-22−2i2i2i−2i-22000000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2002i−2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i2−222−22−2−222-2-220000−2i2i2i−2i0000000000000000
χ822-22-2-22-22−2i2i2i−2i-22000000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2002i−2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i22−2−22−222−2-222-200002i−2i−2i2i0000000000000000
χ832-22-2-22-22−2i2i2i−2i-22000000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2002i−2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i2−222−22−2−22-222-200002i−2i−2i2i0000000000000000
χ842-22-2-22-22−2i2i2i−2i-22000000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2002i−2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i22−2−22−222−22-2-220000−2i2i2i−2i0000000000000000
χ8544-4-444-4-4000044-4-4-44-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-444-4-40000-4-444-44-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-4-444000000004-4-4400000000000044-4-4-4-4440000000000000000000000000000000000000000000000000000000000
χ8844-4-4-4-444000000004-4-44000000000000-4-44444-4-40000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-44400000000-444-4000044-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-4-44400000000-444-40000-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000
χ914-4-444-4-440000004-4000000-442i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ924-4-444-4-440000004-4000000-44−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ934-4-444-4-44000000-440000004-42i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-44000000-440000004-4−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ954-4-44-444-400004-4000000-44002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ964-4-44-444-400004-4000000-4400−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ974-4-44-444-40000-440000004-4002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ984-4-44-444-40000-440000004-400−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000

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