Finite Group Databasebeta

← Group #72308045

Character table — Group #72308045

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112222222222222222222222444444444444444488888888888888888816161616161616161616161616161616161616161616161616161616161616163232323232323232
order12222222222222444444448888224444888888888822224444888888888844444444444444441616161616161616161616161616161644448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ172222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ192222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000
χ202222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ21222222-222-2-2-2-2-2222-2-2-2-2222222-222-2-222-2-222-2-2-2-2000000002-2000000000000000000000000000000000000000000002i−2i2i−2i
χ22222222-222-2-2-2-2-2222-2-2-2-2222222-222-2-222-2-222-2-2-2-2000000002-200000000000000000000000000000000000000000000−2i2i−2i2i
χ23222222-222-2-2-2-2-2222-2-2-2-22-2-2-2-22-222-2-2-2-222-2-2222200000000-2200000000000000000000000000000000000000002i−2i2i−2i0000
χ24222222-222-2-2-2-2-2222-2-2-2-22-2-2-2-22-222-2-2-2-222-2-2222200000000-220000000000000000000000000000000000000000−2i2i−2i2i0000
χ25222222-222-2-2-2-2-2-2-2-22222-200002-2-2-222000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000
χ26222222-222-2-2-2-2-2-2-2-22222-200002-2-2-222000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000
χ27222222-222-2-2-2-2-2-2-2-22222-200002-2-2-22200000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000
χ28222222-222-2-2-2-2-2-2-2-22222-200002-2-2-22200000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000
χ29222222-2-2-222-2-2-2222-2-2-2-222222-22-2-22222-2-2-2-222-2-200000000-22000000000000000000000000000000000000000000002i−2i−2i2i
χ30222222-2-2-222-2-2-2222-2-2-2-222222-22-2-22222-2-2-2-222-2-200000000-2200000000000000000000000000000000000000000000−2i2i2i−2i
χ31222222-2-2-222-2-2-2222-2-2-2-22-2-2-2-2-22-2-222-2-22222-2-222000000002-200000000000000000000000000000000000000002i−2i−2i2i0000
χ32222222-2-2-222-2-2-2222-2-2-2-22-2-2-2-2-22-2-222-2-22222-2-222000000002-20000000000000000000000000000000000000000−2i2i2i−2i0000
χ33222222-2-2-222-2-2-2-2-2-22222-20000-2222-2-2000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000
χ34222222-2-2-222-2-2-2-2-2-22222-20000-2222-2-2000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000
χ35222222-2-2-222-2-2-2-2-2-22222-20000-2222-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000
χ36222222-2-2-222-2-2-2-2-2-22222-20000-2222-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000
χ372222-2-222222-2-2222-222-2-2-20000-2-22-22-200000000002222-2-2-2-200000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ382222-2-222222-2-2222-222-2-2-20000-2-22-22-200000000002222-2-2-2-200000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ392222-2-222222-2-2222-222-2-2-20000-2-22-22-20000000000-2-2-2-2222200000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ402222-2-222222-2-2222-222-2-2-20000-2-22-22-20000000000-2-2-2-2222200000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ412222-2-222222-2-22-2-22-2-22222222-2-2-22-22-2-2222222-2-200000000-2-2000000000000000022-2-222-2-2000000000000000000000000
χ422222-2-222222-2-22-2-22-2-22222222-2-2-22-22-2-2222222-2-200000000-2-20000000000000000-2-222-2-222000000000000000000000000
χ432222-2-222222-2-22-2-22-2-2222-2-2-2-2-2-2-22-2222-2-2-2-2-2-22200000000220000000022-2-222-2-200000000000000000000000000000000
χ442222-2-222222-2-22-2-22-2-2222-2-2-2-2-2-2-22-2222-2-2-2-2-2-222000000002200000000-2-222-2-22200000000000000000000000000000000
χ452222-2-22-2-2-2-2-2-2222-222-2-2-2000022-22-22000000000022-2-2-2-22200000000000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ462222-2-22-2-2-2-2-2-2222-222-2-2-2000022-22-22000000000022-2-2-2-22200000000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ472222-2-22-2-2-2-2-2-2222-222-2-2-2000022-22-220000000000-2-22222-2-200000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ482222-2-22-2-2-2-2-2-2222-222-2-2-2000022-22-220000000000-2-22222-2-200000000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ492222-2-22-2-2-2-2-2-22-2-22-2-22222222222-22-2-2-222-2-2-2-2-2-20000000022000000000000000022-2-2-2-222000000000000000000000000
χ502222-2-22-2-2-2-2-2-22-2-22-2-22222222222-22-2-2-222-2-2-2-2-2-200000000220000000000000000-2-22222-2-2000000000000000000000000
χ512222-2-22-2-2-2-2-2-22-2-22-2-2222-2-2-2-2222-22-222-2-222222200000000-2-20000000022-2-2-2-22200000000000000000000000000000000
χ522222-2-22-2-2-2-2-2-22-2-22-2-2222-2-2-2-2222-22-222-2-222222200000000-2-200000000-2-22222-2-200000000000000000000000000000000
χ532222-2-2-222-2-222-2-2-2222-2-222222-22-222-2-2-2-2-222-2-22200000000-220000000000000000000000002-2-222-2-220000000000000000
χ542222-2-2-222-2-222-2-2-2222-2-222222-22-222-2-2-2-2-222-2-22200000000-22000000000000000000000000-222-2-222-20000000000000000
χ552222-2-2-222-2-222-2-2-2222-2-22-2-2-2-2-22-222-22222-2-222-2-2000000002-2000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ562222-2-2-222-2-222-2-2-2222-2-22-2-2-2-2-22-222-22222-2-222-2-2000000002-200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ572222-2-2-2-2-22222-2-2-2222-2-2222222-22-2-22-2-2-2-2-2-22222000000002-20000000000000000000000002-2-22-222-20000000000000000
χ582222-2-2-2-2-22222-2-2-2222-2-2222222-22-2-22-2-2-2-2-2-22222000000002-2000000000000000000000000-222-22-2-220000000000000000
χ592222-2-2-2-2-22222-2-2-2222-2-22-2-2-2-22-22-2-22222222-2-2-2-200000000-22000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ602222-2-2-2-2-22222-2-2-2222-2-22-2-2-2-22-22-2-22222222-2-2-2-200000000-2200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ6122-2-22-2200002-2-22-2-22-22-2222-2-20000002-22-200002-2002-2002-20000002-22-200002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ6222-2-22-2200002-2-22-2-22-22-2222-2-20000002-22-200002-2002-2002-20000002-22-20000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ6322-2-22-2200002-2-22-2-22-22-2222-2-20000002-22-200002-200-2200-22000000-22-2200002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ6422-2-22-2200002-2-22-2-22-22-2222-2-20000002-22-200002-200-2200-22000000-22-220000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ6522-2-22-2200002-2-22-2-22-22-22-2-222000000-22-220000-22002-2002-2000000-22-222i−2i2i−2i000000002i−2i2i−2i000000000000000000000000
χ6622-2-22-2200002-2-22-2-22-22-22-2-222000000-22-220000-22002-2002-2000000-22-22−2i2i−2i2i00000000−2i2i−2i2i000000000000000000000000
χ6722-2-22-2200002-2-22-2-22-22-22-2-222000000-22-220000-2200-2200-220000002-22-22i−2i2i−2i00000000−2i2i−2i2i000000000000000000000000
χ6822-2-22-2200002-2-22-2-22-22-22-2-222000000-22-220000-2200-2200-220000002-22-2−2i2i−2i2i000000002i−2i2i−2i000000000000000000000000
χ6922-2-2-2220000-22-2-22-2-222-2222-2-2000000-222-20000-222-2002-200002-22-200002i−2i−2i2i00002i−2i−2i2i0000000000000000000000000000
χ7022-2-2-2220000-22-2-22-2-222-2222-2-2000000-222-20000-222-2002-200002-22-20000−2i2i2i−2i0000−2i2i2i−2i0000000000000000000000000000
χ7122-2-2-2220000-22-2-22-2-222-2222-2-2000000-222-20000-22-2200-220000-22-2200002i−2i−2i2i0000−2i2i2i−2i0000000000000000000000000000
χ7222-2-2-2220000-22-2-22-2-222-2222-2-2000000-222-20000-22-2200-220000-22-220000−2i2i2i−2i00002i−2i−2i2i0000000000000000000000000000
χ7322-2-2-2220000-22-2-22-2-222-22-2-2220000002-2-2200002-22-2002-20000-22-22000000002i−2i−2i2i00002i−2i−2i2i000000000000000000000000
χ7422-2-2-2220000-22-2-22-2-222-22-2-2220000002-2-2200002-22-2002-20000-22-2200000000−2i2i2i−2i0000−2i2i2i−2i000000000000000000000000
χ7522-2-2-2220000-22-2-22-2-222-22-2-2220000002-2-2200002-2-2200-2200002-22-2000000002i−2i−2i2i0000−2i2i2i−2i000000000000000000000000
χ7622-2-2-2220000-22-2-22-2-222-22-2-2220000002-2-2200002-2-2200-2200002-22-200000000−2i2i2i−2i00002i−2i−2i2i000000000000000000000000
χ7744444444444444-4-4-4-4-4-4-4-4000044-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000
χ784444444-4-4-4-4444-4-4-4-4-4-4-4-40000-4-4444400000000000000000000000000000000000000000000000000000000000000000000
χ794444-4-4-444-4-444-444-4-4-444-40000-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-44444-444-4-4-444-400004-4-444-400000000000000000000000000000000000000000000000000000000000000000000
χ8144-4-44-4400004-4-4-444-44-44-4000000000000000000004-400-440000000000000000000000000000000000000000000000000000
χ8244-4-44-4400004-4-4-444-44-44-400000000000000000000-44004-40000000000000000000000000000000000000000000000000000
χ8344-4-44-4-40000-4444-4-4-44-44444-4-40000004-4-440000-440000000000000000000000000000000000000000000000000000000000
χ8444-4-44-4-40000-4444-4-4-44-444-4-444000000-444-400004-40000000000000000000000000000000000000000000000000000000000
χ8544-4-44-4-40000-444-4444-44-4-400000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ8644-4-44-4-40000-444-4444-44-4-40000000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ8744-4-4-4440000-44-44-444-4-44-400000000000000000000004-400-4400000000000000000000000000000000000000000000000000
χ8844-4-4-4440000-44-44-444-4-44-40000000000000000000000-44004-400000000000000000000000000000000000000000000000000
χ8944-4-4-44-400004-444-44-444-4-40000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ9044-4-4-44-400004-444-44-444-4-4000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ9144-4-4-44-400004-44-44-44-4-44444-4-4000000-44-4400004-40000000000000000000000000000000000000000000000000000000000
χ9244-4-4-44-400004-44-44-44-4-444-4-4440000004-44-40000-440000000000000000000000000000000000000000000000000000000000
χ938-88-8000008-8000000000004i2−4i24i2−4i20000000000004i2−4i2000000000000000000000000000000000000000000000000000000000000
χ948-88-8000008-800000000000−4i24i2−4i24i2000000000000−4i24i2000000000000000000000000000000000000000000000000000000000000
χ958-88-800000-88000000000004i2−4i24i2−4i2000000000000−4i24i2000000000000000000000000000000000000000000000000000000000000
χ968-88-800000-8800000000000−4i24i2−4i24i20000000000004i2−4i2000000000000000000000000000000000000000000000000000000000000
χ978-8-880008-800000000000004i2−4i2−4i24i200000000004i2−4i200000000000000000000000000000000000000000000000000000000000000
χ988-8-880008-80000000000000−4i24i24i2−4i20000000000−4i24i200000000000000000000000000000000000000000000000000000000000000
χ998-8-88000-8800000000000004i2−4i2−4i24i20000000000−4i24i200000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000-880000000000000−4i24i24i2−4i200000000004i2−4i200000000000000000000000000000000000000000000000000000000000000

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