Finite Group Databasebeta

← Group #72285053

Character table — Group #72285053

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111122222222224444444444444444444444444444448888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222224444444444444444222222444444444444444444442222444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ12111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ2011111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ2111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ2211111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ2311111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ2411111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ2511111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2611111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2711111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ2811111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ2911111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ3011111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ3111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ332222222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ342222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000-2-22222-2-2-2-20000000000000000000000000000000000000000
χ35222222222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000222222-2-2-2-20000000000000000000000000000000000000000
χ36222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222222222220000000022-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-222222222222222-2-2-2-2222222-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-222-2-2220000000000000000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2220000000000000000000000000000000000000000
χ3922222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222222200000000-2-222-2-2-2-2220000000000000000000000000000000000000000
χ4022222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222222222-2-2-2-22222-2-2-2-2222200000000-2-2-2-222-2-2220000000000000000000000000000000000000000
χ41222222-2-222-2-2-2-22-2222-2-2-22-20000000000000000222200000000-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000002i−2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ42222222-2-222-2-2-2-22-2222-2-2-22-20000000000000000222200000000-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000002i−2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ43222222-2-222-2-2-2-22-2222-2-2-22-20000000000000000222200000000-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000−2i2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ44222222-2-222-2-2-2-22-2222-2-2-22-20000000000000000222200000000-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000−2i2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ45222222-2-222-2-2-2-22-2222-2-2-22-20000000000000000-2-2-2-20000000022-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000−2i2i0000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ46222222-2-222-2-2-2-22-2222-2-2-22-20000000000000000-2-2-2-20000000022-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000−2i2i000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ47222222-2-222-2-2-2-22-2222-2-2-22-20000000000000000-2-2-2-20000000022-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000002i−2i0000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ48222222-2-222-2-2-2-22-2222-2-2-22-20000000000000000-2-2-2-20000000022-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000002i−2i000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ49222222-2-2-2-222-2-22-2-2-2-22222-20000000000000000222200000000-2-2-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000−2i2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ50222222-2-2-2-222-2-22-2-2-2-22222-20000000000000000222200000000-2-2-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000−2i2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ51222222-2-2-2-222-2-22-2-2-2-22222-20000000000000000222200000000-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000002i−2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ52222222-2-2-2-222-2-22-2-2-2-22222-20000000000000000222200000000-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000002i−2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ53222222-2-2-2-222-2-22-2-2-2-22222-20000000000000000-2-2-2-2000000002222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002i−2i0000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ54222222-2-2-2-222-2-22-2-2-2-22222-20000000000000000-2-2-2-2000000002222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002i−2i000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ55222222-2-2-2-222-2-22-2-2-2-22222-20000000000000000-2-2-2-2000000002222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i0000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ56222222-2-2-2-222-2-22-2-2-2-22222-20000000000000000-2-2-2-2000000002222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ572-2-222-2-2-2000022-2-20000002222-2-22222-2-2-2-2000022-2-22-20000002-200002-22-200002-22-2002-2002-2002-2002-200000022-2-2002-2002-2000000000000000000000000
χ582-2-222-2-2-2000022-2-20000002222-2-22222-2-2-2-2000022-2-22-20000002-200002-22-200002-22-200-2200-22002-2002-2000000-2-22200-2200-22000000000000000000000000
χ592-2-222-2-2-2000022-2-20000002222-2-22222-2-2-2-2000022-2-22-20000002-20000-22-220000-22-222-2002-20000-2200-220022-2-200002-2002-200000000000000000000000000
χ602-2-222-2-2-2000022-2-20000002222-2-22222-2-2-2-2000022-2-22-20000002-20000-22-220000-22-22-2200-220000-2200-2200-2-2220000-2200-2200000000000000000000000000
χ612-2-222-2-2-2000022-2-20000002222-2-2-2-2-2-222220000-2-2222-2000000-2200002-22-20000-22-222-2002-200002-200-2200-2-22200002-200-2200000000000000000000000000
χ622-2-222-2-2-2000022-2-20000002222-2-2-2-2-2-222220000-2-2222-2000000-2200002-22-20000-22-22-2200-2200002-200-220022-2-20000-22002-200000000000000000000000000
χ632-2-222-2-2-2000022-2-20000002222-2-2-2-2-2-222220000-2-2222-2000000-220000-22-2200002-22-2002-2002-200-22002-2000000-2-222002-200-22000000000000000000000000
χ642-2-222-2-2-2000022-2-20000002222-2-2-2-2-2-222220000-2-2222-2000000-220000-22-2200002-22-200-2200-2200-22002-200000022-2-200-22002-2000000000000000000000000
χ652-2-222-2-2-2000022-2-200000022-2-2222222-2-2-2-20000-2-222-22000000-2200002-22-20000-22-22002-2002-200-22002-200000022-2-200-2200-22000000000000000000000000
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Here i is the imaginary unit (i² = −1).