Finite Group Databasebeta

← Group #395852

Character table — Group #395852

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111111111111222222222222222244444444444444444444888888888888888888888888888888881616161616161616
order12222222222222224444444444444444222288888888888888884444444444444444444444448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111
χ9111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ11111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ12111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ14111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ15111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ16111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ172222222222222222-2-2-2-2-222222222-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-222222222-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-2-2-22200000000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-22222-2-200000000000000000000000000000000
χ212222222-2-2-22-2-2-2-2-2222-2-22222-2-2-2-2-2-2222-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ222222222-2-2-22-2-2-2-2-2222-2-22222-2-2-2-2-2-2222-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ232222222-2-2-22-2-2-2-2-2222-2-2-2-2-2-22222-2-22-2-2222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ242222222-2-2-22-2-2-2-2-2222-2-2-2-2-2-22222-2-22-2-222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ252222222-2-2-22-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-222000000000000000000000000000000000000000022-2-222-2-200000000
χ262222222-2-2-22-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2220000000000000000000000000000000000000000-2-222-2-22200000000
χ272222222-2-2-22-2-2-2-2-2-2-2-222-2-2-2-2222222-222-2-2000000000000000000000000000000000000000022-2-2-2-22200000000
χ282222222-2-2-22-2-2-2-2-2-2-2-222-2-2-2-2222222-222-2-20000000000000000000000000000000000000000-2-22222-2-200000000
χ292222-2-2-222-2-2-22-2-22000002i2i−2i−2i2i2i−2i−2i000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200002-22i−2i00000000000000002−22−2i2−i2i2−i200000000
χ302222-2-2-222-2-2-22-2-22000002i2i−2i−2i2i2i−2i−2i000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-22−2i2i0000000000000000−22−22−i2i2−i2i200000000
χ312222-2-2-222-2-2-22-2-22000002i2i−2i−2i2i2i−2i−2i0000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200002-22i−2i0000000000000000−22−22−i2i2−i2i200000000
χ322222-2-2-222-2-2-22-2-22000002i2i−2i−2i2i2i−2i−2i0000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-22−2i2i00000000000000002−22−2i2−i2i2−i200000000
χ332222-2-2-222-2-2-22-2-2200000−2i−2i2i2i−2i−2i2i2i000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200002-2−2i2i00000000000000002−22−2−i2i2−i2i200000000
χ342222-2-2-222-2-2-22-2-2200000−2i−2i2i2i−2i−2i2i2i000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-222i−2i0000000000000000−22−22i2−i2i2−i200000000
χ352222-2-2-222-2-2-22-2-2200000−2i−2i2i2i−2i−2i2i2i0000000−2−222−2−222i2i2−i2−i2i2i2−i2−i200002-2−2i2i0000000000000000−22−22i2−i2i2−i200000000
χ362222-2-2-222-2-2-22-2-2200000−2i−2i2i2i−2i−2i2i2i0000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-222i−2i00000000000000002−22−2−i2i2−i2i200000000
χ372222-2-2-2-2-22-22-222-2000002i2i−2i−2i−2i−2i2i2i000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i22-22i−2i000000000000000000002−2−22i2−i2−i2i200000000
χ382222-2-2-2-2-22-22-222-2000002i2i−2i−2i−2i−2i2i2i000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2-22−2i2i00000000000000000000−222−2−i2i2i2−i200000000
χ392222-2-2-2-2-22-22-222-2000002i2i−2i−2i−2i−2i2i2i0000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i22-22i−2i00000000000000000000−222−2−i2i2i2−i200000000
χ402222-2-2-2-2-22-22-222-2000002i2i−2i−2i−2i−2i2i2i0000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2-22−2i2i000000000000000000002−2−22i2−i2−i2i200000000
χ412222-2-2-2-2-22-22-222-200000−2i−2i2i2i2i2i−2i−2i000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i22-2−2i2i000000000000000000002−2−22−i2i2i2−i200000000
χ422222-2-2-2-2-22-22-222-200000−2i−2i2i2i2i2i−2i−2i000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2-222i−2i00000000000000000000−222−2i2−i2−i2i200000000
χ432222-2-2-2-2-22-22-222-200000−2i−2i2i2i2i2i−2i−2i0000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i22-2−2i2i00000000000000000000−222−2i2−i2−i2i200000000
χ442222-2-2-2-2-22-22-222-200000−2i−2i2i2i2i2i−2i−2i0000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2-222i−2i000000000000000000002−2−22−i2i2i2−i200000000
χ4522-2-22-2-222-222-22-2-22-2-22-2000000002-2200002-22-22-22-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4622-2-22-2-222-222-22-2-22-2-22-2000000002-2200002-22-22-22-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4722-2-22-2-222-222-22-2-22-2-22-2000000002-220000-22-22-22-2200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4822-2-22-2-222-222-22-2-22-2-22-2000000002-220000-22-22-22-220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4922-2-22-2-2-2-222-22-2222-2-2-2200000000-22200002-22-2-22-2200000000000000000000000022-2-222-2-20000000000000000
χ5022-2-22-2-2-2-222-22-2222-2-2-2200000000-22200002-22-2-22-22000000000000000000000000-2-222-2-2220000000000000000
χ5122-2-22-2-2-2-222-22-2222-2-2-2200000000-2220000-22-222-22-200000000000000000000000022-2-2-2-2220000000000000000
χ5222-2-22-2-2-2-222-22-2222-2-2-2200000000-2220000-22-222-22-2000000000000000000000000-2-22222-2-20000000000000000
χ532-22-2-22-22-22222-2-2-2-22-2-22000000002-220000000000002-22-22-22-20000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ542-22-2-22-22-22222-2-2-2-22-2-22000000002-220000000000002-22-22-22-2000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ552-22-2-22-22-22222-2-2-2-22-2-22000000002-22000000000000-22-22-22-220000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ562-22-2-22-22-22222-2-2-2-22-2-22000000002-22000000000000-22-22-22-22000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ572-22-2-22-2-22-22-2-2222-22-22-200000000-2220000000000002-22-2-22-22000000002-22-2000000002-22-20000000000000000
χ582-22-2-22-2-22-22-2-2222-22-22-200000000-2220000000000002-22-2-22-2200000000-22-2200000000-22-220000000000000000
χ592-22-2-22-2-22-22-2-2222-22-22-200000000-222000000000000-22-222-22-2000000002-22-200000000-22-220000000000000000
χ602-22-2-22-2-22-22-2-2222-22-22-200000000-222000000000000-22-222-22-200000000-22-22000000002-22-20000000000000000
χ612-2-22-2-222-2-222-2-22222-2222-22-22-22-2-2-2-22-22-2000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ622-2-22-2-222-2-222-2-22222-2222-22-22-22-2-2-2-22-22-200000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ632-2-22-2-222-2-222-2-22222-222-22-22-22-22-2-2-2-22-22000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ642-2-22-2-222-2-222-2-22222-222-22-22-22-22-2-2-2-22-2200000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ652-2-22-2-222-2-222-2-222-2-22-2-22-22-22-22-2222-22-2200000000000000000000000000002-2-2200002-2-220000000000000000
χ662-2-22-2-222-2-222-2-222-2-22-2-22-22-22-22-2222-22-220000000000000000000000000000-222-20000-222-20000000000000000
χ672-2-22-2-222-2-222-2-222-2-22-2-2-22-22-22-222222-22-200000000000000000000000000002-2-220000-222-20000000000000000
χ682-2-22-2-222-2-222-2-222-2-22-2-2-22-22-22-222222-22-20000000000000000000000000000-222-200002-2-220000000000000000
χ692-2-22-2-22-2222-222-2-222-2-2-22-22-2-22-2222-22-2-220000000000000000000000000000000000000000000000002i−2i00002i−2i
χ702-2-22-2-22-2222-222-2-222-2-2-22-22-2-22-2222-22-2-22000000000000000000000000000000000000000000000000−2i2i0000−2i2i
χ712-2-22-2-22-2222-222-2-222-2-2-2-22-222-22-222-2-222-20000000000000000000000000000000000000000000000002i−2i0000−2i2i
χ722-2-22-2-22-2222-222-2-222-2-2-2-22-222-22-222-2-222-2000000000000000000000000000000000000000000000000−2i2i00002i−2i
χ732-2-22-2-22-2222-222-2-2-2-22222-22-2-22-22-2-22-222-20000000000000000000000002i−2i−2i2i00002i−2i−2i2i00000000000000000000
χ742-2-22-2-22-2222-222-2-2-2-22222-22-2-22-22-2-22-222-2000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000000000000000
χ752-2-22-2-22-2222-222-2-2-2-2222-22-222-22-2-2-222-2-220000000000000000000000002i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ762-2-22-2-22-2222-222-2-2-2-2222-22-222-22-2-2-222-2-22000000000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ7744-4-44-4-444-444-44-4-4-444-4400000000-44-4000000000000000000000000000000000000000000000000000000000000
χ7844-4-44-4-4-4-444-44-444-4444-4000000004-4-4000000000000000000000000000000000000000000000000000000000000
χ7944-4-4-444444-4-4-4-44-40000000000000000000022−22−222222−22−2222000000000000000000000000000000000000000000000000
χ8044-4-4-444444-4-4-4-44-400000000000000000000−222222−22−222222−22000000000000000000000000000000000000000000000000
χ8144-4-4-444-4-4-4-4444-440000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000000000000
χ8244-4-4-444-4-4-4-4444-4400000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000000000000
χ834-44-44-444-4-4-4-4444-400000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ844-44-44-444-4-4-4-4444-40000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ854-44-44-44-444-44-4-4-4400000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ864-44-44-44-444-44-4-4-440000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ874-44-4-44-44-44444-4-4-44-444-400000000-44-4000000000000000000000000000000000000000000000000000000000000
χ884-44-4-44-4-44-44-4-44444-44-44000000004-4-4000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-44-44-4-4-44-44000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000
χ904-4-4444-44-44-4-4-44-4400000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000
χ914-4-4444-4-44-4-444-44-4000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-4-44-4-444-44-400000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000

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