Finite Group Databasebeta

← Group #72252660

Character table — Group #72252660

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size111122222222222222222244444444448888888888888888888888888888881616161616161616161616161616161616161616323232323232323232323232
order1222222222444444448888222288888844444488888888161616161616161616161616161616164444444444881616161616161616444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ91111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ101111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ111111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ121111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111111-1-1-1-1
χ131111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ141111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ161111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000002200000000-2-200000000000000000000
χ18222222222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222-2-2-2-20000000000000000-2-2000000002200000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2000000002200000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002200000000-2-200000000000000000000
χ212222222222-2-2-2-2-2-2-2-200002222000000-2-222-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-20000000000i2i2−i2−i2i2i2−i2−i2000000000000
χ222222222222-2-2-2-2-2-2-2-200002222000000-2-222-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22-20000000000−i2−i2i2i2−i2−i2i2i2000000000000
χ232222222222-2-2-2-2-2-2-2-200002222000000-2-2-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-220000000000i2i2−i2−i2−i2−i2i2i2000000000000
χ242222222222-2-2-2-2-2-2-2-200002222000000-2-2-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-220000000000−i2−i2i2i2i2i2−i2−i2000000000000
χ252222222222-2-2-2-2-2-2-2-20000-2-2-2-20000002222-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-220000000000−i2−i2i2i2−i2−i2i2i2000000000000
χ262222222222-2-2-2-2-2-2-2-20000-2-2-2-20000002222-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-220000000000i2i2−i2−i2i2i2−i2−i2000000000000
χ272222222222-2-2-2-2-2-2-2-20000-2-2-2-200000022-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22-20000000000−i2−i2i2i2i2i2−i2−i2000000000000
χ282222222222-2-2-2-2-2-2-2-20000-2-2-2-200000022-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22-20000000000i2i2−i2−i2−i2−i2i2i2000000000000
χ29222222-2-2-2-22-2-2222-2-2222200002-2-2-22-2000000000000000000000022-2-222-2-20000002i2i−2i−2i000000000000000000002i−2i
χ30222222-2-2-2-22-2-2222-2-2222200002-2-2-22-2000000000000000000000022-2-222-2-2000000−2i−2i2i2i00000000000000000000−2i2i
χ31222222-2-2-2-22-2-2222-2-2222200002-2-2-22-20000000000000000000000-2-222-2-2220000002i2i−2i−2i00000000000000000000−2i2i
χ32222222-2-2-2-22-2-2222-2-2222200002-2-2-22-20000000000000000000000-2-222-2-222000000−2i−2i2i2i000000000000000000002i−2i
χ332222-2-222-2-2-22-222-22-222220000-22-2-2-220000000000000022-2-222-2-2000000000000002i−2i2i−2i0000000000000000002i−2i00
χ342222-2-222-2-2-22-222-22-222220000-22-2-2-220000000000000022-2-222-2-200000000000000−2i2i−2i2i000000000000000000−2i2i00
χ352222-2-222-2-2-22-222-22-222220000-22-2-2-2200000000000000-2-222-2-222000000000000002i−2i2i−2i000000000000000000−2i2i00
χ362222-2-222-2-2-22-222-22-222220000-22-2-2-2200000000000000-2-222-2-22200000000000000−2i2i−2i2i0000000000000000002i−2i00
χ372222-2-2-2-222-2-2222-2-2222220000-2-222-2-2002-22-222-2-2000000000000000000000000002-2-220000000000002-200000000
χ382222-2-2-2-222-2-2222-2-2222220000-2-222-2-2002-22-222-2-200000000000000000000000000-222-2000000000000-2200000000
χ392222-2-2-2-222-2-2222-2-2222220000-2-222-2-200-22-22-2-222000000000000000000000000002-2-22000000000000-2200000000
χ402222-2-2-2-222-2-2222-2-2222220000-2-222-2-200-22-22-2-22200000000000000000000000000-222-20000000000002-200000000
χ412222-2-2-2-222-2-2222-2-22-2-2-2-2000022-2-222002-22-2-2-222000000000000000000000022-2-2000000000000002-20000000000
χ422222-2-2-2-222-2-2222-2-22-2-2-2-2000022-2-222002-22-2-2-2220000000000000000000000-2-22200000000000000-220000000000
χ432222-2-2-2-222-2-2222-2-22-2-2-2-2000022-2-22200-22-2222-2-2000000000000000000000022-2-200000000000000-220000000000
χ442222-2-2-2-222-2-2222-2-22-2-2-2-2000022-2-22200-22-2222-2-20000000000000000000000-2-222000000000000002-20000000000
χ4522-2-22-22-22-2222-22-2-2-222-2-222-2-22-22-2-222-20000000022-2-22-22-22-22-2000000000000000000002-22-20000000000000000
χ4622-2-22-22-22-2222-22-2-2-222-2-222-2-22-22-2-222-20000000022-2-2-22-22-22-2200000000000000000000-22-220000000000000000
χ4722-2-22-22-22-2222-22-2-2-222-2-2-2-2222-22-2-22-2200000000-2-2222-22-22-22-200000000000000000000-22-220000000000000000
χ4822-2-22-22-22-2222-22-2-2-222-2-2-2-2222-22-2-22-2200000000-2-222-22-22-22-22000000000000000000002-22-20000000000000000
χ4922-2-22-22-22-2222-22-2-2-2-2-22222-2-2-22-222-22-200000000-2-222000000002-22-22-22-200000000000000002-22-2000000000000
χ5022-2-22-22-22-2222-22-2-2-2-2-22222-2-2-22-222-22-200000000-2-22200000000-22-22-22-220000000000000000-22-22000000000000
χ5122-2-22-22-22-2222-22-2-2-2-2-222-2-222-22-222-2-220000000022-2-2000000002-22-22-22-20000000000000000-22-22000000000000
χ5222-2-22-22-22-2222-22-2-2-2-2-222-2-222-22-222-2-220000000022-2-200000000-22-22-22-2200000000000000002-22-2000000000000
χ5322-2-22-22-22-2-2-2-22-2222000022-2-2000000-2200002-22-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000002-2i2−i2−i2i2i2−i2−i2i2000000000000
χ5422-2-22-22-22-2-2-2-22-2222000022-2-2000000-2200002-22-20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000002-2−i2i2i2−i2−i2i2i2−i2000000000000
χ5522-2-22-22-22-2-2-2-22-2222000022-2-2000000-220000-22-220000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000-22i2−i2−i2i2−i2i2i2−i2000000000000
χ5622-2-22-22-22-2-2-2-22-2222000022-2-2000000-220000-22-220000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000-22−i2i2i2−i2i2−i2−i2i2000000000000
χ5722-2-22-22-22-2-2-2-22-22220000-2-2220000002-200002-22-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000-22−i2i2i2−i2−i2i2i2−i2000000000000
χ5822-2-22-22-22-2-2-2-22-22220000-2-2220000002-200002-22-20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000-22i2−i2−i2i2i2−i2−i2i2000000000000
χ5922-2-22-22-22-2-2-2-22-22220000-2-2220000002-20000-22-220000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000002-2−i2i2i2−i2i2−i2−i2i2000000000000
χ6022-2-22-22-22-2-2-2-22-22220000-2-2220000002-20000-22-220000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000002-2i2−i2−i2i2−i2i2i2−i2000000000000
χ6122-2-22-2-22-222-2-2-22-222-2-2220000-2-22-22200000000000000000000002-2-222-2-22002-22-2000000000000000000002-20000
χ6222-2-22-2-22-222-2-2-22-222-2-2220000-2-22-22200000000000000000000002-2-222-2-2200-22-2200000000000000000000-220000
χ6322-2-22-2-22-222-2-2-22-222-2-2220000-2-22-2220000000000000000000000-222-2-222-2002-22-200000000000000000000-220000
χ6422-2-22-2-22-222-2-2-22-222-2-2220000-2-22-2220000000000000000000000-222-2-222-200-22-22000000000000000000002-20000
χ6522-2-2-222-2-22-22-2-222-2222-2-20000-2-2-2222000000000000002-2-222-2-2200000000002-2-220000000000000000002-2000000
χ6622-2-2-222-2-22-22-2-222-2222-2-20000-2-2-2222000000000000002-2-222-2-220000000000-222-2000000000000000000-22000000
χ6722-2-2-222-2-22-22-2-222-2222-2-20000-2-2-222200000000000000-222-2-222-200000000002-2-22000000000000000000-22000000
χ6822-2-2-222-2-22-22-2-222-2222-2-20000-2-2-222200000000000000-222-2-222-20000000000-222-20000000000000000002-2000000
χ69444444-4-4-4-44-4-4444-4-4-4-4-4-40000-4444-4400000000000000000000000000000000000000000000000000000000000000
χ70444444-4-4-4-4-444-4-4-4440000000000000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000
χ71444444-4-4-4-4-444-4-4-444000000000000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000
χ724444-4-444-4-44-44-4-44-4400000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000
χ734444-4-444-4-44-44-4-44-440000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000000000
χ744444-4-444-4-4-44-444-44-4-4-4-4-400004-4444-400000000000000000000000000000000000000000000000000000000000000
χ754444-4-4-4-44444-4-4-444-400000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-44444-4-4-444-40000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ7744-4-44-4-44-444-4-4-44-44444-4-4000044-44-4-400000000000000000000000000000000000000000000000000000000000000
χ7844-4-44-4-44-44-4444-44-4-40000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000
χ7944-4-44-4-44-44-4444-44-4-4000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000
χ8044-4-4-444-4-444-444-4-44-400000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ8144-4-4-444-4-444-444-4-44-40000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ8244-4-4-444-4-44-44-4-444-44-4-4440000444-4-4-400000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-44-444-444-44-4-4-44000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ8444-4-4-44-444-444-44-4-4-4400000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ8544-4-4-44-444-4-4-44-4444-444-4-40000-444-44-400000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-44-444-4-4-44-4444-4-4-44400004-4-44-4400000000000000000000000000000000000000000000000000000000000000
χ878-88-8000000000000004i2−4i24i2−4i24-44-400000000000000002i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ888-88-8000000000000004i2−4i24i2−4i2-44-440000000000000000−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ898-88-800000000000000−4i24i2−4i24i24-44-40000000000000000−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ908-88-800000000000000−4i24i2−4i24i2-44-4400000000000000002i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ918-8-88000000000000004i2−4i2−4i24i24-4-4400000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ928-8-88000000000000004i2−4i2−4i24i2-444-40000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ938-8-8800000000000000−4i24i24i2−4i24-4-440000000000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ948-8-8800000000000000−4i24i24i2−4i2-444-400000000000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000

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