Finite Group Databasebeta

← Group #347643

Character table — Group #347643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888882222224444444444444444888888888888888888888888888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-11-1
χ9111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ12111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-22222222222-2-22222222222222222-2-20000-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2000000000000222222220000000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2220000-2-222000000000000-2-2-2-222220000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-222222222220000-2-2220000000000002222-2-2-2-20000000000000000000000000000
χ2122222222-2-2222222-2-2-2-2-2-2220000000000000000222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ2222222222-2-2222222-2-2-2-2-2-222000000000000000022-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2322222222-2-222-2-2-2-22222-2-2220000000000000000-2-22222-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ2422222222-2-222-2-2-2-22222-2-2220000000000000000-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000-2-200002222000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000-2-20000222200000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022000022-2-2000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022000022-2-200000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000
χ29222-22-2-2-2002-200002i2i−2i−2i002-22222−2−2−2−2i2i2i2i2−i2−i2−i2−i2000000002i−2i2i2i−2i−2i22-2-2000022−2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000
χ30222-22-2-2-2002-200002i2i−2i−2i002-22222−2−2−2−2i2i2i2i2−i2−i2−i2−i2000000002i−2i−2i−2i2i2i-2-222000022−2−2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000
χ31222-22-2-2-2002-200002i2i−2i−2i002-2−2−2−2−22222−i2−i2−i2−i2i2i2i2i2000000002i−2i2i2i−2i−2i22-2-20000−2−222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000
χ32222-22-2-2-2002-200002i2i−2i−2i002-2−2−2−2−22222−i2−i2−i2−i2i2i2i2i2000000002i−2i−2i−2i2i2i-2-2220000−2−222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000
χ33222-22-2-2-2002-20000−2i−2i2i2i002-22222−2−2−2−2−i2−i2−i2−i2i2i2i2i200000000−2i2i2i2i−2i−2i-2-222000022−2−2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000
χ34222-22-2-2-2002-20000−2i−2i2i2i002-22222−2−2−2−2−i2−i2−i2−i2i2i2i2i200000000−2i2i−2i−2i2i2i22-2-2000022−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000
χ35222-22-2-2-2002-20000−2i−2i2i2i002-2−2−2−2−22222i2i2i2i2−i2−i2−i2−i200000000−2i2i2i2i−2i−2i-2-2220000−2−222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000
χ36222-22-2-2-2002-20000−2i−2i2i2i002-2−2−2−2−22222i2i2i2i2−i2−i2−i2−i200000000−2i2i−2i−2i2i2i22-2-20000−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000
χ37222-22-2-2-200-2200002i2i−2i−2i00-222222−2−2−2−2i2i2i2i2−i2−i2−i2−i20022-2-200−2i2i000000002i2i−2i−2i−2−222−i2−i2i2i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ38222-22-2-2-200-2200002i2i−2i−2i00-222222−2−2−2−2i2i2i2i2−i2−i2−i2−i200-2-22200−2i2i00000000−2i−2i2i2i−2−222−i2−i2i2i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ39222-22-2-2-200-2200002i2i−2i−2i00-22−2−2−2−22222−i2−i2−i2−i2i2i2i2i20022-2-200−2i2i000000002i2i−2i−2i22−2−2i2i2−i2−i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ40222-22-2-2-200-2200002i2i−2i−2i00-22−2−2−2−22222−i2−i2−i2−i2i2i2i2i200-2-22200−2i2i00000000−2i−2i2i2i22−2−2i2i2−i2−i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ41222-22-2-2-200-220000−2i−2i2i2i00-222222−2−2−2−2−i2−i2−i2−i2i2i2i2i20022-2-2002i−2i00000000−2i−2i2i2i−2−222i2i2−i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ42222-22-2-2-200-220000−2i−2i2i2i00-222222−2−2−2−2−i2−i2−i2−i2i2i2i2i200-2-222002i−2i000000002i2i−2i−2i−2−222i2i2−i2−i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ43222-22-2-2-200-220000−2i−2i2i2i00-22−2−2−2−22222i2i2i2i2−i2−i2−i2−i20022-2-2002i−2i00000000−2i−2i2i2i22−2−2−i2−i2i2i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ44222-22-2-2-200-220000−2i−2i2i2i00-22−2−2−2−22222i2i2i2i2−i2−i2−i2−i200-2-222002i−2i000000002i2i−2i−2i22−2−2−i2−i2i2i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ4522-22-22-2-22-2002i2i−2i−2i2i−2i2i−2i2-20022-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000002−2i2−i22−2i2−i20000
χ4622-22-22-2-22-2002i2i−2i−2i2i−2i2i−2i2-20022-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000−22−i2i2−22−i2i20000
χ4722-22-22-2-22-2002i2i−2i−2i2i−2i2i−2i2-200-2-222-2-222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000002−2i2−i2−22−i2i20000
χ4822-22-22-2-22-2002i2i−2i−2i2i−2i2i−2i2-200-2-222-2-222−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000−22−i2i22−2i2−i20000
χ4922-22-22-2-22-200−2i−2i2i2i−2i2i−2i2i2-20022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000002−2−i2i22−2−i2i20000
χ5022-22-22-2-22-200−2i−2i2i2i−2i2i−2i2i2-20022-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000−22i2−i2−22i2−i20000
χ5122-22-22-2-22-200−2i−2i2i2i−2i2i−2i2i2-200-2-222-2-2222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000002−2−i2i2−22i2−i20000
χ5222-22-22-2-22-200−2i−2i2i2i−2i2i−2i2i2-200-2-222-2-2222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000−22i2−i22−2−i2i20000
χ532-2-222-2-2200222-22-2000000-2-22−22−22−22−22−22−22−22−22-2000000002i−2i2i−2i00002i−2i2i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ542-2-222-2-2200222-22-2000000-2-22−22−22−22−22−22−22−22−22-200000000−2i2i−2i2i0000−2i2i−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ552-2-222-2-2200222-22-2000000-2-2−22−22−22−22−22−22−22−222-2000000002i−2i2i−2i00002i−2i2i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ562-2-222-2-2200222-22-2000000-2-2−22−22−22−22−22−22−22−222-200000000−2i2i−2i2i0000−2i2i−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ572-2-222-2-220022-22-22000000-2-22−22−22−22−2−22−22−22−22-22000000002i−2i2i−2i0000−2i2i−2i2i2−22−2−22−22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ582-2-222-2-220022-22-22000000-2-22−22−22−22−2−22−22−22−22-2200000000−2i2i−2i2i00002i−2i2i−2i2−22−2−22−22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ592-2-222-2-220022-22-22000000-2-2−22−22−22−222−22−22−22−2-22000000002i−2i2i−2i0000−2i2i−2i2i−22−222−22−2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ602-2-222-2-220022-22-22000000-2-2−22−22−22−222−22−22−22−2-2200000000−2i2i−2i2i00002i−2i2i−2i−22−222−22−2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ612-2-222-2-2200-2-22-22-2000000222−22−22−22−22−22−22−22−2-222-22-2000000002-22-20000−22−22−22−222−22−2−22−222−22−2−22−22000000000000
χ622-2-222-2-2200-2-22-22-2000000222−22−22−22−22−22−22−22−2-22-22-2200000000-22-220000−22−22−22−22−22−222−22−2−22−222−22−2000000000000
χ632-2-222-2-2200-2-22-22-200000022−22−22−22−22−22−22−22−22-222-22-2000000002-22-200002−22−22−22−2−22−222−22−2−22−222−22−2000000000000
χ642-2-222-2-2200-2-22-22-200000022−22−22−22−22−22−22−22−22-22-22-2200000000-22-2200002−22−22−22−22−22−2−22−222−22−2−22−22000000000000
χ652-2-222-2-2200-2-2-22-22000000222−22−22−22−2−22−22−22−222-22-22-200000000-22-220000−22−222−22−22−22−2−22−22−22−222−22−2000000000000
χ662-2-222-2-2200-2-2-22-22000000222−22−22−22−2−22−22−22−222-2-22-22000000002-22-20000−22−222−22−2−22−222−22−22−22−2−22−22000000000000
χ672-2-222-2-2200-2-2-22-2200000022−22−22−22−222−22−22−22−22-22-22-200000000-22-2200002−22−2−22−22−22−222−22−22−22−2−22−22000000000000
χ682-2-222-2-2200-2-2-22-2200000022−22−22−22−222−22−22−22−22-2-22-22000000002-22-200002−22−2−22−222−22−2−22−22−22−222−22−2000000000000
χ692-2-2-2222-2222-200000000-2-2-22000000002i−2i2i−2i−2i2i−2i2i002-2-222-200-222-20000000000002i−2i−2i2i000000002i−2i−2i2i2i−2i−2i2i000000000000
χ702-2-2-2222-2222-200000000-2-2-22000000002i−2i2i−2i−2i2i−2i2i00-222-22-2002-2-220000000000002i−2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i000000000000
χ712-2-2-2222-2222-200000000-2-2-2200000000−2i2i−2i2i2i−2i2i−2i002-2-222-200-222-2000000000000−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i000000000000
χ722-2-2-2222-2222-200000000-2-2-2200000000−2i2i−2i2i2i−2i2i−2i00-222-22-2002-2-22000000000000−2i2i2i−2i000000002i−2i−2i2i2i−2i−2i2i000000000000
χ732-2-2-2222-222-2200000000-2-22-2000000002i−2i2i−2i−2i2i−2i2i000000-220000002-2-22-222-20000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000
χ742-2-2-2222-222-2200000000-2-22-2000000002i−2i2i−2i−2i2i−2i2i000000-22000000-222-22-2-220000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000
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χ772-2-2-2222-2-2-22-20000000022-222-22-2-22-2200000000002-2-22-22002-2-22000000002-2-2200002-2-222-2-2200000000000000000000
χ782-2-2-2222-2-2-22-20000000022-222-22-2-22-220000000000-222-2-2200-222-2000000002-2-220000-222-2-222-200000000000000000000
χ792-2-2-2222-2-2-22-20000000022-22-22-222-22-200000000002-2-22-22002-2-2200000000-222-20000-222-2-222-200000000000000000000
χ802-2-2-2222-2-2-22-20000000022-22-22-222-22-20000000000-222-2-2200-222-200000000-222-200002-2-222-2-2200000000000000000000
χ812-2-2-2222-2-2-2-2200000000222-22-22-2-22-22000000000000002-20000002-2-222-2-22-222-20000000000002-2-22-222-2000000000000
χ822-2-2-2222-2-2-2-2200000000222-22-22-2-22-22000000000000002-2000000-222-2-222-2-222-2000000000000-222-22-2-22000000000000
χ832-2-2-2222-2-2-2-2200000000222-2-22-222-22-2000000000000002-20000002-2-222-2-222-2-22000000000000-222-22-2-22000000000000
χ842-2-2-2222-2-2-2-2200000000222-2-22-222-22-2000000000000002-2000000-222-2-222-22-2-220000000000002-2-22-222-2000000000000
χ8544-44-44-4-4-44004i4i−4i−4i−4i4i−4i4i-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-44-44-4-4-4400−4i−4i4i4i4i−4i4i−4i-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-4-444000000004-4-4400002222−22−22−22−2222222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ8844-4-4-4-444000000004-4-440000−22−2222222222−22−22−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-44400000000-444-400002222−22−22−22−222222−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ9044-4-4-4-44400000000-444-40000−22−2222222222−22−222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ914-444-4-44-400004i−4i−4i4i0000000022−22−222222−22−22222i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ924-444-4-44-400004i−4i−4i4i00000000−222222−22−222222−22−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ934-444-4-44-40000−4i4i4i−4i0000000022−22−222222−22−2222−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ944-444-4-44-40000−4i4i4i−4i00000000−222222−22−222222−222i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-444-40000000000-4400000000004-4-44-444-40000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-444-40000000000-440000000000-444-44-4-440000000000000000000000000000000000000000000000000000000000
χ974-44-4-44-44-4400000000004-4004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-44-44-4400000000004-400-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000

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