Finite Group Databasebeta

← Group #7595286

Character table — Group #7595286

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222444444444444444444444444444488888888888888888888888888881616161616161616
order12222222444444444444888888882222444444444444888888888888222224444444444444448888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-1-1-111-1-1111111111111-111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-111-1-1111111111111-1-1-111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11-1-11-1-111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-11-11
χ711111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111-1-1-111111111111-11-11-1-11
χ811111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-1-111-1-111111111-11-11-111-1
χ91111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111111-1-1-1-111111-1111111-1-111-1-1-111-1-1-1-1-1
χ101111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111111
χ111111111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-1111111-1-111
χ121111111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1-11111111-1-111-1-111-1-1-1-111-1-1
χ131111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-1-1111-1-1-1-1-111-1-1-1-111-1-1111-11-1-11-11
χ141111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111-1-111111-1-1-111-1-111-1-111-11-111-11-1
χ151111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1-111-1-1-1111-1-11111-1-111-1-1-1-111-111-1
χ161111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-111-1-1-111-1-1111-1-111-1-111-1-111-1-11-1-11
χ17111111111-1-1-1-1111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ18111111111-1-1-1-1111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1111111-1-1
χ19111111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-111-1-1-1111111-1-1-1-1111-1-11-1-1-1-1
χ20111111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-111-11111
χ21111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-11111-111-1-11-1-1-1-11-1-11111-1-1-1-11111-1-1-111-1
χ22111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1111-1-11
χ23111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111111-1-1111-1-1-1-1-111-111-1-1-1-11111-1-1-11-11-11-11
χ24111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111111-1-1111-1-111-111-1-1-1-1-111-1-11111-1-11-11-11-11-1
χ25111111111-1-1-1-1-1-1-1-111111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111-1-1111-1-1
χ26111111111-1-1-1-1-1-1-1-111111111111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-111-1-1-111
χ27111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-11111
χ28111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ29111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1111111111-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-11-111-1-11
χ30111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111111-1-1-1-1-111-1-111111-111-1-11111-1-1-1-11-11-1-111-1
χ31111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-111-1-11-1-111-1-1-111111-1-1-1-1-1-1111111-1-11-11-1
χ32111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-111111-1-1-111-1-11-1-111-1-1-1-11111-1-111-11-11
χ3322222222-222222222-2-2-200000000-2-222-2-2222222-2-222000000000000-20000-20000-20000-200000000000000000000
χ3422222222-222222222-2-2-200000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2000000000000200002000020000200000000000000000000
χ3522222222-22222-2-2-2-2-2-2-200000000-2-22222-2-2-2-2-2-2222200000000000020000-20000-20000200000000000000000000
χ3622222222-22222-2-2-2-2-2-2-200000000-2-2-2-222-2-2222222-2-2000000000000-200002000020000-200000000000000000000
χ3722222222-2-2-2-2-22222-2-2-2000000002222-2-2-2-222-2-222-2-20000000000002000020000-20000-200000000000000000000
χ3822222222-2-2-2-2-22222-2-2-20000000022-2-2-2-2-2-2-2-2222222000000000000-20000-2000020000200000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-2-222-2-2-2-2000000000000-2000020000-20000200000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-2222222-2-2-2-22200000000000020000-2000020000-200000000000000000000
χ41222-2-2-22-202i2i−2i−2i22-2-2000i2i2i2i2−i2−i2−i2−i2002-2002i−2i2-22i−2i002i−2ii2i2−i2−i222−2−222−2−2000000000000000000002−2i2−i2i2−i22−200000000
χ42222-2-2-22-202i2i−2i−2i22-2-2000i2i2i2i2−i2−i2−i2−i200-22002i−2i-22−2i2i00−2i2ii2i2−i2−i222−2−222−2−200000000000000000000−22−i2i2−i2i2−2200000000
χ43222-2-2-22-202i2i−2i−2i22-2-2000−i2−i2−i2−i2i2i2i2i2002-2002i−2i2-22i−2i002i−2i−i2−i2i2i2−2−222−2−22200000000000000000000−22−i2i2−i2i2−2200000000
χ44222-2-2-22-202i2i−2i−2i22-2-2000−i2−i2−i2−i2i2i2i2i200-22002i−2i-22−2i2i00−2i2i−i2−i2i2i2−2−222−2−222000000000000000000002−2i2−i2i2−i22−200000000
χ45222-2-2-22-202i2i−2i−2i-2-222000i2i2i2i2−i2−i2−i2−i2002-200−2i2i-22−2i2i002i−2i−i2−i2i2i2−2−22222−2−2000000000000000000002−2−i2i2i2−i2−2200000000
χ46222-2-2-22-202i2i−2i−2i-2-222000i2i2i2i2−i2−i2−i2−i200-2200−2i2i2-22i−2i00−2i2i−i2−i2i2i2−2−22222−2−200000000000000000000−22i2−i2−i2i22−200000000
χ47222-2-2-22-202i2i−2i−2i-2-222000−i2−i2−i2−i2i2i2i2i2002-200−2i2i-22−2i2i002i−2ii2i2−i2−i222−2−2−2−22200000000000000000000−22i2−i2−i2i22−200000000
χ48222-2-2-22-202i2i−2i−2i-2-222000−i2−i2−i2−i2i2i2i2i200-2200−2i2i2-22i−2i00−2i2ii2i2−i2−i222−2−2−2−222000000000000000000002−2−i2i2i2−i2−2200000000
χ49222-2-2-22-20−2i−2i2i2i22-2-2000i2i2i2i2−i2−i2−i2−i2002-200−2i2i2-2−2i2i00−2i2ii2i2−i2−i2−2−222−2−22200000000000000000000−22i2−i2i2−i2−2200000000
χ50222-2-2-22-20−2i−2i2i2i22-2-2000i2i2i2i2−i2−i2−i2−i200-2200−2i2i-222i−2i002i−2ii2i2−i2−i2−2−222−2−222000000000000000000002−2−i2i2−i2i22−200000000
χ51222-2-2-22-20−2i−2i2i2i22-2-2000−i2−i2−i2−i2i2i2i2i2002-200−2i2i2-2−2i2i00−2i2i−i2−i2i2i222−2−222−2−2000000000000000000002−2−i2i2−i2i22−200000000
χ52222-2-2-22-20−2i−2i2i2i22-2-2000−i2−i2−i2−i2i2i2i2i200-2200−2i2i-222i−2i002i−2i−i2−i2i2i222−2−222−2−200000000000000000000−22i2−i2i2−i2−2200000000
χ53222-2-2-22-20−2i−2i2i2i-2-222000i2i2i2i2−i2−i2−i2−i2002-2002i−2i-222i−2i00−2i2i−i2−i2i2i222−2−2−2−22200000000000000000000−22−i2i2i2−i22−200000000
χ54222-2-2-22-20−2i−2i2i2i-2-222000i2i2i2i2−i2−i2−i2−i200-22002i−2i2-2−2i2i002i−2i−i2−i2i2i222−2−2−2−222000000000000000000002−2i2−i2−i2i2−2200000000
χ55222-2-2-22-20−2i−2i2i2i-2-222000−i2−i2−i2−i2i2i2i2i2002-2002i−2i-222i−2i00−2i2ii2i2−i2−i2−2−22222−2−2000000000000000000002−2i2−i2−i2i2−2200000000
χ56222-2-2-22-20−2i−2i2i2i-2-222000−i2−i2−i2−i2i2i2i2i200-22002i−2i2-2−2i2i002i−2ii2i2−i2−i2−2−22222−2−200000000000000000000−22−i2i2i2−i22−200000000
χ5722-2-222-2-2200002i−2i2i−2i-2-2222-2-222-2-200002i−2i00000000002i−2i2i−2i0000000002-20002i−2i2i−2i02-200000000000000000000000
χ5822-2-222-2-2200002i−2i2i−2i-2-2222-2-222-2-200002i−2i00000000002i−2i2i−2i000000000-22000−2i2i−2i2i0-2200000000000000000000000
χ5922-2-222-2-2200002i−2i2i−2i-2-22-2-222-2-22200002i−2i0000000000−2i2i−2i2i0000000002-20002i−2i−2i2i0-2200000000000000000000000
χ6022-2-222-2-2200002i−2i2i−2i-2-22-2-222-2-22200002i−2i0000000000−2i2i−2i2i000000000-22000−2i2i2i−2i02-200000000000000000000000
χ6122-2-222-2-220000−2i2i−2i2i-2-2222-2-222-2-20000−2i2i0000000000−2i2i−2i2i0000000002-2000−2i2i−2i2i02-200000000000000000000000
χ6222-2-222-2-220000−2i2i−2i2i-2-2222-2-222-2-20000−2i2i0000000000−2i2i−2i2i000000000-220002i−2i2i−2i0-2200000000000000000000000
χ6322-2-222-2-220000−2i2i−2i2i-2-22-2-222-2-2220000−2i2i00000000002i−2i2i−2i0000000002-2000−2i2i2i−2i0-2200000000000000000000000
χ6422-2-222-2-220000−2i2i−2i2i-2-22-2-222-2-2220000−2i2i00000000002i−2i2i−2i000000000-220002i−2i−2i2i02-200000000000000000000000
χ652-22-22-2-2222-22-200002-2-22i−2i2i−2i2i−2i2i−2i2-200000000000000000000002i−2i2i−2i0002-2000000002i−2i02-22i−2i0000000000000000
χ662-22-22-2-2222-22-200002-2-22i−2i2i−2i2i−2i2i−2i2-200000000000000000000002i−2i2i−2i000-2200000000−2i2i0-22−2i2i0000000000000000
χ672-22-22-2-2222-22-200002-2-2−2i2i−2i2i−2i2i−2i2i2-20000000000000000000000−2i2i−2i2i0002-200000000−2i2i02-2−2i2i0000000000000000
χ682-22-22-2-2222-22-200002-2-2−2i2i−2i2i−2i2i−2i2i2-20000000000000000000000−2i2i−2i2i000-22000000002i−2i0-222i−2i0000000000000000
χ692-22-22-2-222-22-2200002-2-22i−2i2i−2i2i−2i2i−2i-220000000000000000000000−2i2i−2i2i0002-2000000002i−2i0-22−2i2i0000000000000000
χ702-22-22-2-222-22-2200002-2-22i−2i2i−2i2i−2i2i−2i-220000000000000000000000−2i2i−2i2i000-2200000000−2i2i02-22i−2i0000000000000000
χ712-22-22-2-222-22-2200002-2-2−2i2i−2i2i−2i2i−2i2i-2200000000000000000000002i−2i2i−2i0002-200000000−2i2i0-222i−2i0000000000000000
χ722-22-22-2-222-22-2200002-2-2−2i2i−2i2i−2i2i−2i2i-2200000000000000000000002i−2i2i−2i000-22000000002i−2i02-2−2i2i0000000000000000
χ7344-44-4-4-44000004i−4i−4i4i0002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000−222222−2200000000000000000000000000000000000000000000
χ7444-44-4-4-44000004i−4i−4i4i000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000022−22−222200000000000000000000000000000000000000000000
χ7544-44-4-4-4400000−4i4i4i−4i0002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000022−22−222200000000000000000000000000000000000000000000
χ7644-44-4-4-4400000−4i4i4i−4i000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000−222222−2200000000000000000000000000000000000000000000
χ7744-4-444-4-4-400004i−4i4i−4i44-4000000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ7844-4-444-4-4-40000−4i4i−4i4i44-40000000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ794-444-44-4-404i−4i−4i4i000000022−2222−22−2222−2222000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000000000
χ804-444-44-4-404i−4i−4i4i0000000−2222−222222−2222−220000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000000000
χ814-444-44-4-40−4i4i4i−4i000000022−2222−22−2222−22220000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000000000
χ824-444-44-4-40−4i4i4i−4i0000000−2222−222222−2222−22000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000000000
χ834-44-44-4-44-44-44-40000-44400000000-4400000000000000000000000000000000000000000000000000000000000000
χ844-44-44-4-44-4-44-440000-444000000004-400000000000000000000000000000000000000000000000000000000000000
χ854-4-444-44-4400000000-44-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ864-4-444-44-4400000000-44-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ874-4-444-44-4-4000000004-4400000000000000000000000000004-44-40000000000000000000000000000000000000000
χ884-4-444-44-4-4000000004-440000000000000000000000000000-44-440000000000000000000000000000000000000000
χ894-4-4-4-444400000000000022−22−2222−222222−220000000000004-400000022−22−22220000000000000000000000000000000000000000
χ904-4-4-4-444400000000000022−22−2222−222222−22000000000000-44000000−222222−220000000000000000000000000000000000000000
χ914-4-4-4-4444000000000000−222222−2222−22−22220000000000004-4000000−222222−220000000000000000000000000000000000000000
χ924-4-4-4-4444000000000000−222222−2222−22−2222000000000000-4400000022−22−22220000000000000000000000000000000000000000

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