Finite Group Databasebeta

← Group #6441900

Character table — Group #6441900

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444442244444444888888884444444444448888442222222244444444224444444488888888444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ91111111111-1-1-1-111-1-111-1-111111111-1-1-1-111-1-111-1-11-1-1-111-1-11-11111111111-1-1-1-111-1-111-1-111111111-1-1-1-111-1-111-1-11-1-1-111-1-11-1
χ101111111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-111111111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-11
χ111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11111-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11111-1-1-11
χ121111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1111-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1111-1
χ131111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-11
χ141111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-111111-1-11-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-111111-1-11-1
χ151111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1111-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1111-1
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-1-111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-1-11
χ1722222222-2-22222-2-2-2-2222200000000000000000000-2-20000000022222222-2-22222-2-2-2-2222200000000000000000000-2-200000000
χ1822222222-2-22222-2-2-2-2-2-2-2-200000000000000000000220000000022222222-2-22222-2-2-2-2-2-2-2-2000000000000000000002200000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000000000000-220000000022222222-2-2-2-2-2-2-2-22222-2-200000000000000000000-2200000000
χ2022222222-2-2-2-2-2-2-2-222-2-222000000000000000000002-20000000022222222-2-2-2-2-2-2-2-222-2-222000000000000000000002-200000000
χ21222-2-22-2-22222-2-2-2-22-200000000000000002-200002-20000000000222-2-22-2-22222-2-2-2-22-200000000000000002-200002-20000000000
χ22222-2-22-2-22222-2-2-2-22-20000000000000000-220000-220000000000222-2-22-2-22222-2-2-2-22-20000000000000000-220000-220000000000
χ23222-2-22-2-222-2-222-2-2-2200000000000000002-20000-220000000000222-2-22-2-222-2-222-2-2-2200000000000000002-20000-220000000000
χ24222-2-22-2-222-2-222-2-2-220000000000000000-2200002-20000000000222-2-22-2-222-2-222-2-2-220000000000000000-2200002-20000000000
χ25222-2-22-2-2-2-222-2-222-2200002i2i−2i−2i00000000002i−2i00000000000000222-2-22-2-2-2-222-2-222-2200002i2i−2i−2i00000000002i−2i00000000000000
χ26222-2-22-2-2-2-222-2-222-220000−2i−2i2i2i0000000000−2i2i00000000000000222-2-22-2-2-2-222-2-222-220000−2i−2i2i2i0000000000−2i2i00000000000000
χ27222-2-22-2-2-2-2-2-222222-200002i2i−2i−2i0000000000−2i2i00000000000000222-2-22-2-2-2-2-2-222222-200002i2i−2i−2i0000000000−2i2i00000000000000
χ28222-2-22-2-2-2-2-2-222222-20000−2i−2i2i2i00000000002i−2i00000000000000222-2-22-2-2-2-2-2-222222-20000−2i−2i2i2i00000000002i−2i00000000000000
χ292-222-2-22-2002i−2i2i−2i00002-22i−2i000022−2−2i2i2−i2−i20000000000002−2i2−i2002-222-2-22-2002i−2i2i−2i00002-22i−2i000022−2−2i2i2−i2−i20000000000002−2i2−i200
χ302-222-2-22-2002i−2i2i−2i00002-22i−2i0000−2−222−i2−i2i2i2000000000000−22−i2i2002-222-2-22-2002i−2i2i−2i00002-22i−2i0000−2−222−i2−i2i2i2000000000000−22−i2i200
χ312-222-2-22-2002i−2i2i−2i0000-22−2i2i000022−2−2i2i2−i2−i2000000000000−22−i2i2002-222-2-22-2002i−2i2i−2i0000-22−2i2i000022−2−2i2i2−i2−i2000000000000−22−i2i200
χ322-222-2-22-2002i−2i2i−2i0000-22−2i2i0000−2−222−i2−i2i2i20000000000002−2i2−i2002-222-2-22-2002i−2i2i−2i0000-22−2i2i0000−2−222−i2−i2i2i20000000000002−2i2−i200
χ332-222-2-22-200−2i2i−2i2i00002-2−2i2i000022−2−2−i2−i2i2i20000000000002−2−i2i2002-222-2-22-200−2i2i−2i2i00002-2−2i2i000022−2−2−i2−i2i2i20000000000002−2−i2i200
χ342-222-2-22-200−2i2i−2i2i00002-2−2i2i0000−2−222i2i2−i2−i2000000000000−22i2−i2002-222-2-22-200−2i2i−2i2i00002-2−2i2i0000−2−222i2i2−i2−i2000000000000−22i2−i200
χ352-222-2-22-200−2i2i−2i2i0000-222i−2i000022−2−2−i2−i2i2i2000000000000−22i2−i2002-222-2-22-200−2i2i−2i2i0000-222i−2i000022−2−2−i2−i2i2i2000000000000−22i2−i200
χ362-222-2-22-200−2i2i−2i2i0000-222i−2i0000−2−222i2i2−i2−i20000000000002−2−i2i2002-222-2-22-200−2i2i−2i2i0000-222i−2i0000−2−222i2i2−i2−i20000000000002−2−i2i200
χ372-2-22-22-222-200002-20000002i−2i2i−2i00002i−2i2i−2i00000000002-20000002-2-22-22-222-200002-20000002i−2i2i−2i00002i−2i2i−2i00000000002-2000000
χ382-2-22-22-222-200002-20000002i−2i2i−2i0000−2i2i−2i2i0000000000-220000002-2-22-22-222-200002-20000002i−2i2i−2i0000−2i2i−2i2i0000000000-22000000
χ392-2-22-22-222-200002-2000000−2i2i−2i2i00002i−2i2i−2i0000000000-220000002-2-22-22-222-200002-2000000−2i2i−2i2i00002i−2i2i−2i0000000000-22000000
χ402-2-22-22-222-200002-2000000−2i2i−2i2i0000−2i2i−2i2i00000000002-20000002-2-22-22-222-200002-2000000−2i2i−2i2i0000−2i2i−2i2i00000000002-2000000
χ412-2-2-2222-2-2200002-20000002-2-222i−2i2i−2i000000002i−2i0000000000002-2-2-2222-2-2200002-20000002-2-222i−2i2i−2i000000002i−2i000000000000
χ422-2-2-2222-2-2200002-20000002-2-22−2i2i−2i2i00000000−2i2i0000000000002-2-2-2222-2-2200002-20000002-2-22−2i2i−2i2i00000000−2i2i000000000000
χ432-2-2-2222-2-2200002-2000000-222-22i−2i2i−2i00000000−2i2i0000000000002-2-2-2222-2-2200002-2000000-222-22i−2i2i−2i00000000−2i2i000000000000
χ442-2-2-2222-2-2200002-2000000-222-2−2i2i−2i2i000000002i−2i0000000000002-2-2-2222-2-2200002-2000000-222-2−2i2i−2i2i000000002i−2i000000000000
χ4544-444-4-4-4000000000000000000000022−22−222200000000000000000044-444-4-4-4000000000000000000000022−22−2222000000000000000000
χ4644-444-4-4-40000000000000000000000−222222−2200000000000000000044-444-4-4-40000000000000000000000−222222−22000000000000000000
χ4744-4-4-4-4440000000000000000002i2−2i2−2i22i2000000000000000000000044-4-4-4-4440000000000000000002i2−2i2−2i22i20000000000000000000000
χ4844-4-4-4-444000000000000000000−2i22i22i2−2i2000000000000000000000044-4-4-4-444000000000000000000−2i22i22i2−2i20000000000000000000000
χ494-44-44-4-44004i−4i−4i4i000000000000000000000000000000000000004-44-44-4-44004i−4i−4i4i00000000000000000000000000000000000000
χ504-44-44-4-4400−4i4i4i−4i000000000000000000000000000000000000004-44-44-4-4400−4i4i4i−4i00000000000000000000000000000000000000
χ514-4-44-44-44-440000-440000000000000000000000000000000000004-4-44-44-44-440000-44000000000000000000000000000000000000
χ524-4-4-4444-44-40000-440000000000000000000000000000000000004-4-4-4444-44-40000-44000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111
χ551111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1
χ57111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1
χ59111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-111
χ611111111111-1-1-1-111-1-111-1-111111111-1-1-1-111-1-111-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1111-1-111-11
χ621111111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-11-1-111-1-11-1
χ631111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1111111-1-111-1-1-11-1-1-1-1111-1
χ641111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-111-1-1-1-1-1-1-111111-1-1-11
χ651111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11111-1-11-1
χ661111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-111-11
χ671111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-111-1-1-11
χ681111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1111-1
χ6922222222-2-22222-2-2-2-2222200000000000000000000-2-200000000-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2000000000000000000002200000000
χ7022222222-2-22222-2-2-2-2-2-2-2-2000000000000000000002200000000-2-2-2-2-2-2-2-222-2-2-2-22222222200000000000000000000-2-200000000
χ7122222222-2-2-2-2-2-2-2-22222-2-200000000000000000000-2200000000-2-2-2-2-2-2-2-222222222-2-2-2-222000000000000000000002-200000000
χ7222222222-2-2-2-2-2-2-2-222-2-222000000000000000000002-200000000-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000-2200000000
χ73222-2-22-2-22222-2-2-2-22-200000000000000002-200002-20000000000-2-2-222-222-2-2-2-22222-220000000000000000-220000-220000000000
χ74222-2-22-2-22222-2-2-2-22-20000000000000000-220000-220000000000-2-2-222-222-2-2-2-22222-2200000000000000002-200002-20000000000
χ75222-2-22-2-222-2-222-2-2-2200000000000000002-20000-220000000000-2-2-222-222-2-222-2-2222-20000000000000000-2200002-20000000000
χ76222-2-22-2-222-2-222-2-2-220000000000000000-2200002-20000000000-2-2-222-222-2-222-2-2222-200000000000000002-20000-220000000000
χ77222-2-22-2-2-2-222-2-222-2200002i2i−2i−2i00000000002i−2i00000000000000-2-2-222-22222-2-222-2-22-20000−2i−2i2i2i0000000000−2i2i00000000000000
χ78222-2-22-2-2-2-222-2-222-220000−2i−2i2i2i0000000000−2i2i00000000000000-2-2-222-22222-2-222-2-22-200002i2i−2i−2i00000000002i−2i00000000000000
χ79222-2-22-2-2-2-2-2-222222-200002i2i−2i−2i0000000000−2i2i00000000000000-2-2-222-2222222-2-2-2-2-220000−2i−2i2i2i00000000002i−2i00000000000000
χ80222-2-22-2-2-2-2-2-222222-20000−2i−2i2i2i00000000002i−2i00000000000000-2-2-222-2222222-2-2-2-2-2200002i2i−2i−2i0000000000−2i2i00000000000000
χ812-222-2-22-2002i−2i2i−2i00002-22i−2i000022−2−2i2i2−i2−i20000000000002−2i2−i200-22-2-222-2200−2i2i−2i2i0000-22−2i2i0000−2−222−i2−i2i2i2000000000000−22−i2i200
χ822-222-2-22-2002i−2i2i−2i00002-22i−2i0000−2−222−i2−i2i2i2000000000000−22−i2i200-22-2-222-2200−2i2i−2i2i0000-22−2i2i000022−2−2i2i2−i2−i20000000000002−2i2−i200
χ832-222-2-22-2002i−2i2i−2i0000-22−2i2i000022−2−2i2i2−i2−i2000000000000−22−i2i200-22-2-222-2200−2i2i−2i2i00002-22i−2i0000−2−222−i2−i2i2i20000000000002−2i2−i200
χ842-222-2-22-2002i−2i2i−2i0000-22−2i2i0000−2−222−i2−i2i2i20000000000002−2i2−i200-22-2-222-2200−2i2i−2i2i00002-22i−2i000022−2−2i2i2−i2−i2000000000000−22−i2i200
χ852-222-2-22-200−2i2i−2i2i00002-2−2i2i000022−2−2−i2−i2i2i20000000000002−2−i2i200-22-2-222-22002i−2i2i−2i0000-222i−2i0000−2−222i2i2−i2−i2000000000000−22i2−i200
χ862-222-2-22-200−2i2i−2i2i00002-2−2i2i0000−2−222i2i2−i2−i2000000000000−22i2−i200-22-2-222-22002i−2i2i−2i0000-222i−2i000022−2−2−i2−i2i2i20000000000002−2−i2i200
χ872-222-2-22-200−2i2i−2i2i0000-222i−2i000022−2−2−i2−i2i2i2000000000000−22i2−i200-22-2-222-22002i−2i2i−2i00002-2−2i2i0000−2−222i2i2−i2−i20000000000002−2−i2i200
χ882-222-2-22-200−2i2i−2i2i0000-222i−2i0000−2−222i2i2−i2−i20000000000002−2−i2i200-22-2-222-22002i−2i2i−2i00002-2−2i2i000022−2−2−i2−i2i2i2000000000000−22i2−i200
χ892-2-22-22-222-200002-20000002i−2i2i−2i00002i−2i2i−2i00000000002-2000000-222-22-22-2-220000-22000000−2i2i−2i2i0000−2i2i−2i2i0000000000-22000000
χ902-2-22-22-222-200002-20000002i−2i2i−2i0000−2i2i−2i2i0000000000-22000000-222-22-22-2-220000-22000000−2i2i−2i2i00002i−2i2i−2i00000000002-2000000
χ912-2-22-22-222-200002-2000000−2i2i−2i2i00002i−2i2i−2i0000000000-22000000-222-22-22-2-220000-220000002i−2i2i−2i0000−2i2i−2i2i00000000002-2000000
χ922-2-22-22-222-200002-2000000−2i2i−2i2i0000−2i2i−2i2i00000000002-2000000-222-22-22-2-220000-220000002i−2i2i−2i00002i−2i2i−2i0000000000-22000000
χ932-2-2-2222-2-2200002-20000002-2-222i−2i2i−2i000000002i−2i000000000000-2222-2-2-222-20000-22000000-222-2−2i2i−2i2i00000000−2i2i000000000000
χ942-2-2-2222-2-2200002-20000002-2-22−2i2i−2i2i00000000−2i2i000000000000-2222-2-2-222-20000-22000000-222-22i−2i2i−2i000000002i−2i000000000000
χ952-2-2-2222-2-2200002-2000000-222-22i−2i2i−2i00000000−2i2i000000000000-2222-2-2-222-20000-220000002-2-22−2i2i−2i2i000000002i−2i000000000000
χ962-2-2-2222-2-2200002-2000000-222-2−2i2i−2i2i000000002i−2i000000000000-2222-2-2-222-20000-220000002-2-222i−2i2i−2i00000000−2i2i000000000000
χ9744-444-4-4-4000000000000000000000022−22−2222000000000000000000-4-44-4-44440000000000000000000000−222222−22000000000000000000
χ9844-444-4-4-40000000000000000000000−222222−22000000000000000000-4-44-4-4444000000000000000000000022−22−2222000000000000000000
χ9944-4-4-4-4440000000000000000002i2−2i2−2i22i20000000000000000000000-4-44444-4-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ10044-4-4-4-444000000000000000000−2i22i22i2−2i20000000000000000000000-4-44444-4-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ1014-44-44-4-44004i−4i−4i4i00000000000000000000000000000000000000-44-44-444-400−4i4i4i−4i00000000000000000000000000000000000000
χ1024-44-44-4-4400−4i4i4i−4i00000000000000000000000000000000000000-44-44-444-4004i−4i−4i4i00000000000000000000000000000000000000
χ1034-4-44-44-44-440000-44000000000000000000000000000000000000-444-44-44-44-400004-4000000000000000000000000000000000000
χ1044-4-4-4444-44-40000-44000000000000000000000000000000000000-4444-4-4-44-4400004-4000000000000000000000000000000000000

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