Finite Group Databasebeta

← Group #7612029

Character table — Group #7612029

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222444444444444444444444444444488888888888888888888888888881616161616161616
order12222222222244444444888888884444444444444444888888888888222244444444444444448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1111
χ711111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111111-1-1-11-111
χ811111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1111-11-1-1
χ91111111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-1111111-1-111-1-111-1-111-1-1-1-11-1-1-11-1
χ101111111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-11111-1-111-1-111-1111-11
χ111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-111111-1-111-1-111-1-111-1-111-1-1-11-1-1-11
χ121111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-111-1-111111-1111-1
χ131111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-11-11-111-1-111-1-1-1-111-1-111-1-111-111-1-11-11
χ141111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1111-11-1-1-111-1-11111-1-1-1-111-1-1111-1-111-11-1
χ151111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-11-1111-1-1-1-11111-1-111-1-111-1-1-11-11-111-1
χ161111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-11-11-1-11111-1-1-1-11111-1-111-1-11-11-11-1-11
χ1711111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-1-11-1-11-1-1-1
χ1811111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1111
χ1911111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-111
χ2011111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-111111-1-1-1-11-1-1
χ2111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ2211111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ2311111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ2411111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ2511111111-1-1-1-11-1-1-1-111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-11111-1-111-1-111-1-1-1-1111-1-11-11-11
χ2611111111-1-1-1-11-1-1-1-111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-111-111-11-11-1
χ2711111111-1-1-1-11-1-1-1-111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-111-1-111-1-111-1-11111-1-11-11-1-111-1
χ2811111111-1-1-1-11-1-1-1-111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-111-1-111-1-111-1-1-1-11111-1-1-11-111-1-11
χ2911111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-111111-1-11-1-1-1-111-1-1-1-111-1-11111-1-111-11-1-11-1
χ3011111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-11111-1-1-1-11-111-11
χ3111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-1-11
χ3211111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-111-1-1-11111-1
χ33222222222222-22222-2-2-200000000-2-2-2-2-2-222222222220000000000000000-2-2-2-20000000000000000000000000000
χ34222222222222-22222-2-2-200000000-2-2-2-2-2-2-2-2-2-222-2-2-2-2000000000000000022220000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-200000000-2-2222222-2-2-2-222-2-20000000000000000-22-220000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-222-2-2-2-22200000000000000002-22-20000000000000000000000000000
χ3722222222-2-2-2-2-22222-2-2-20000000022-2-2222222-2-2-2-2-2-20000000000000000-2-2220000000000000000000000000000
χ3822222222-2-2-2-2-22222-2-2-20000000022-2-222-2-2-2-2-2-22222000000000000000022-2-20000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-222-2-222-2-2220000000000000000-222-20000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2222222-2-200000000000000002-2-220000000000000000000000000000
χ41222-22-2-2-222-2-2200002-2-22222-2-2-2-22-20000000000000022-2-2000000002-22-200002-22-2000000000000000000000000
χ42222-22-2-2-222-2-2200002-2-22222-2-2-2-22-20000000000000022-2-200000000-22-220000-22-22000000000000000000000000
χ43222-22-2-2-222-2-2200002-2-2-2-2-2-222222-200000000000000-2-222000000002-2-2200002-2-22000000000000000000000000
χ44222-22-2-2-222-2-2200002-2-2-2-2-2-222222-200000000000000-2-22200000000-222-20000-222-2000000000000000000000000
χ45222-22-2-2-2-2-222200002-2-22222-2-2-2-2-2200000000000000-2-222000000002-2-220000-222-2000000000000000000000000
χ46222-22-2-2-2-2-222200002-2-22222-2-2-2-2-2200000000000000-2-22200000000-222-200002-2-22000000000000000000000000
χ47222-22-2-2-2-2-222200002-2-2-2-2-2-22222-220000000000000022-2-2000000002-22-20000-22-22000000000000000000000000
χ48222-22-2-2-2-2-222200002-2-2-2-2-2-22222-220000000000000022-2-200000000-22-2200002-22-2000000000000000000000000
χ492-22-2-22-220000222-2-2-22-22i2i−2i−2i2i2i−2i−2i002-200000000000000002i2i−2i−2i00000000000000002i−2i2i−2i2-22-20000000000000000
χ502-22-2-22-220000222-2-2-22-22i2i−2i−2i2i2i−2i−2i002-200000000000000002i2i−2i−2i0000000000000000−2i2i−2i2i-22-220000000000000000
χ512-22-2-22-220000222-2-2-22-2−2i−2i2i2i−2i−2i2i2i002-20000000000000000−2i−2i2i2i00000000000000002i−2i2i−2i-22-220000000000000000
χ522-22-2-22-220000222-2-2-22-2−2i−2i2i2i−2i−2i2i2i002-20000000000000000−2i−2i2i2i0000000000000000−2i2i−2i2i2-22-20000000000000000
χ532-22-2-22-2200002-2-222-22-22i2i−2i−2i2i2i−2i−2i00-220000000000000000−2i−2i2i2i00000000000000002i−2i−2i2i2-2-220000000000000000
χ542-22-2-22-2200002-2-222-22-22i2i−2i−2i2i2i−2i−2i00-220000000000000000−2i−2i2i2i0000000000000000−2i2i2i−2i-222-20000000000000000
χ552-22-2-22-2200002-2-222-22-2−2i−2i2i2i−2i−2i2i2i00-2200000000000000002i2i−2i−2i00000000000000002i−2i−2i2i-222-20000000000000000
χ562-22-2-22-2200002-2-222-22-2−2i−2i2i2i−2i−2i2i2i00-2200000000000000002i2i−2i−2i0000000000000000−2i2i2i−2i2-2-220000000000000000
χ572-2-2-22-2222-22-202-22-20002−22−22−22−20000002-22-22-22-22-22−22−22−22−222−2−2000000000000000000002−22−22−22−200000000
χ582-2-2-22-2222-22-202-22-20002−22−22−22−2000000-22-222-2-22-222−22−22−22−222−2−200000000000000000000−22−22−22−2200000000
χ592-2-2-22-2222-22-202-22-2000−22−22−22−220000002-22-22-22-22-2−22−22−22−22−2−22200000000000000000000−22−22−22−2200000000
χ602-2-2-22-2222-22-202-22-2000−22−22−22−22000000-22-222-2-22-22−22−22−22−22−2−222000000000000000000002−22−22−22−200000000
χ612-2-2-22-2222-22-20-22-220002−22−22−22−20000002-2-22-222-2-222−22−2−22−22−2−222000000000000000000002−2−222−2−2200000000
χ622-2-2-22-2222-22-20-22-220002−22−22−22−2000000-222-2-22-222-22−22−2−22−22−2−22200000000000000000000−222−2−222−200000000
χ632-2-2-22-2222-22-20-22-22000−22−22−22−220000002-2-22-222-2-22−22−222−22−222−2−200000000000000000000−222−2−222−200000000
χ642-2-2-22-2222-22-20-22-22000−22−22−22−22000000-222-2-22-222-2−22−222−22−222−2−2000000000000000000002−2−222−2−2200000000
χ652-2-2-22-222-22-2202-22-20002−22−22−22−20000002-22-2-22-22-22−22−222−22−2−2−222000000000000000000002−22−2−22−2200000000
χ662-2-2-22-222-22-2202-22-20002−22−22−22−2000000-22-22-222-22-2−22−222−22−2−2−22200000000000000000000−22−222−22−200000000
χ672-2-2-22-222-22-2202-22-2000−22−22−22−220000002-22-2-22-22-222−22−2−22−2222−2−200000000000000000000−22−222−22−200000000
χ682-2-2-22-222-22-2202-22-2000−22−22−22−22000000-22-22-222-22-22−22−2−22−2222−2−2000000000000000000002−22−2−22−2200000000
χ692-2-2-22-222-22-220-22-220002−22−22−22−20000002-2-222-2-222-2−22−22−22−2222−2−2000000000000000000002−2−22−222−200000000
χ702-2-2-22-222-22-220-22-220002−22−22−22−2000000-222-22-22-2-22−22−22−22−2222−2−200000000000000000000−222−22−2−2200000000
χ712-2-2-22-222-22-220-22-22000−22−22−22−220000002-2-222-2-222-22−22−22−22−2−2−22200000000000000000000−222−22−2−2200000000
χ722-2-2-22-222-22-220-22-22000−22−22−22−22000000-222-22-22-2-222−22−22−22−2−2−222000000000000000000002−2−22−222−200000000
χ73444-44-4-4-444-4-4-40000-44400000000-4400000000000000000000000000000000000000000000000000000000000000
χ74444-44-4-4-4-4-444-40000-444000000004-400000000000000000000000000000000000000000000000000000000000000
χ7544-44-4-4-44000004-4-440002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000002i2−2i2−2i22i20000000000000000000000000000000000000000
χ7644-44-4-4-44000004-4-44000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000−2i22i22i2−2i20000000000000000000000000000000000000000
χ7744-44-4-4-4400000-444-40002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000−2i22i22i2−2i20000000000000000000000000000000000000000
χ7844-44-4-4-4400000-444-4000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000002i2−2i2−2i22i20000000000000000000000000000000000000000
χ7944-4-4-444-40000000000002i2−2i2−2i22i2−2i22i22i2−2i200004-40000000000000000002i2−2i22i2−2i2000000000000000000000000000000000000
χ8044-4-4-444-40000000000002i2−2i2−2i22i2−2i22i22i2−2i20000-44000000000000000000−2i22i2−2i22i2000000000000000000000000000000000000
χ8144-4-4-444-4000000000000−2i22i22i2−2i22i2−2i2−2i22i200004-4000000000000000000−2i22i2−2i22i2000000000000000000000000000000000000
χ8244-4-4-444-4000000000000−2i22i22i2−2i22i2−2i2−2i22i20000-440000000000000000002i2−2i22i2−2i2000000000000000000000000000000000000
χ834-444-4-44-4000040000-4-444i4i−4i−4i−4i−4i4i4i0000000000000000000000000000000000000000000000000000000000000000
χ844-444-4-44-4000040000-4-44−4i−4i4i4i4i4i−4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ854-444-4-44-40000-4000044-4000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ864-444-4-44-40000-4000044-400000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ874-44-4-44-440000-444-4-44-440000000000-44000000000000000000000000000000000000000000000000000000000000
χ884-44-4-44-440000-4-4-4444-4400000000004-4000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-4-44-4-440000000022−2222−22−2222−2222000000000000000022−22−222200000000000000000000000000000000000000000000
χ904-4-4444-4-44-4-4400000000−2222−222222−2222−220000000000000000−222222−2200000000000000000000000000000000000000000000
χ914-4-4444-4-4-444-40000000022−2222−22−2222−22220000000000000000−222222−2200000000000000000000000000000000000000000000
χ924-4-4444-4-4-444-400000000−2222−222222−2222−22000000000000000022−22−222200000000000000000000000000000000000000000000

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