Finite Group Databasebeta

← Group #72248564

Character table — Group #72248564

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222244444444444444666688888888888888888888121212121212121212121212121216161616161616161616161616161616161616161616161616161616161616162424242424242424242424242424242448484848
order122222222234444444466666666612121212121212122222222222444444444488882222222222444444666666881212121212121212121212121212242424242424242422444444444488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-111
χ9111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ11111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-111-1-1
χ17111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i1-11111-1-1-1-111-1-1i−i11-1-111i−i11-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-111-1-11-1ii−i−iii−i−ii−ii−i
χ18111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii1-11111-1-1-1-111-1-1−ii11-1-111−ii11-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-111-1-11-1−i−iii−i−iii−ii−ii
χ19111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111ii−i−iii−i−i1-11111-1-1-1-111-1-1−ii11-1-1-1-1−ii-1-11111ii−i−i−i−iiiii−i−i−i−iii-11-1-111-11ii−i−iii−i−i−ii−ii
χ20111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111−i−iii−i−iii1-11111-1-1-1-111-1-1i−i11-1-1-1-1i−i-1-11111−i−iiiii−i−i−i−iiiii−i−i-11-1-111-11−i−iii−i−iiii−ii−i
χ21111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1ii−i−i−i−iii1-1-1-1-1-1111111-1-1−ii-1-11111i−i-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i-1111-1-1-11ii−i−i−i−iii−iii−i
χ22111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1−i−iiiii−i−i1-1-1-1-1-1111111-1-1i−i-1-11111−ii-1-111-1-1−i−iiiii−i−iii−i−i−i−iii-1111-1-1-11−i−iiiii−i−ii−i−ii
χ23111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111ii−i−i−i−iii1-1-1-1-1-1111111-1-1i−i-1-111-1-1−ii11-1-111ii−i−iii−i−i−i−iii−i−iii1-1-1-1111-1ii−i−i−i−iiii−i−ii
χ24111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111−i−iiiii−i−i1-1-1-1-1-1111111-1-1−ii-1-111-1-1i−i11-1-111−i−iii−i−iiiii−i−iii−i−i1-1-1-1111-1−i−iiiii−i−i−iii−i
χ25111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1ii−i−iii−i−i-11-1-1-1-11111-1-111i−i11-1-111i−i11-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-11-1-111-11−i−iii−i−iii−ii−ii
χ26111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1−i−iii−i−iii-11-1-1-1-11111-1-111−ii11-1-111−ii11-1-1-1-1−i−iii−i−iii−i−iii−i−iii-11-1-111-11ii−i−iii−i−ii−ii−i
χ27111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−iii−i−i-11-1-1-1-11111-1-111−ii11-1-1-1-1−ii-1-11111ii−i−i−i−iiiii−i−i−i−iii1-111-1-11-1−i−iii−i−iiii−ii−i
χ28111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iii−i−iii-11-1-1-1-11111-1-111i−i11-1-1-1-1i−i-1-11111−i−iiiii−i−i−i−iiiii−i−i1-111-1-11-1ii−i−iii−i−i−ii−ii
χ29111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1ii−i−i−i−iii-111111-1-1-1-1-1-111−ii-1-11111i−i-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-1-1111-1−i−iiiii−i−ii−i−ii
χ30111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1−i−iiiii−i−i-111111-1-1-1-1-1-111i−i-1-11111−ii-1-111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-1-1111-1ii−i−i−i−iii−iii−i
χ31111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111ii−i−i−i−iii-111111-1-1-1-1-1-111i−i-1-111-1-1−ii11-1-111ii−i−iii−i−i−i−iii−i−iii-1111-1-1-11−i−iiiii−i−i−iii−i
χ32111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111−i−iiiii−i−i-111111-1-1-1-1-1-111−ii-1-111-1-1i−i11-1-111−i−iii−i−iiiii−i−iii−i−i-1111-1-1-11ii−i−i−i−iiii−i−ii
χ3322222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-222220000002-22-200000000002200000000-2-2-2-200000000002-22-20000000000000000002-20000-22000000000000
χ3422222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222000000-22-2200000000002200000000-2-2-2-20000000000-22-22000000000000000000-2200002-2000000000000
χ3522222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-20000002-22-20000000000-2-200000000222200000000002-22-2000000000000000000-2200002-2000000000000
χ3622222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2000000-22-220000000000-2-20000000022220000000000-22-220000000000000000002-20000-22000000000000
χ372222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222222222222222220000000000000022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ382222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222222222-2-2-2-2-2-2-2-200000000000000-2-2-1-1-1-1-1-1-2-2-1-1-1-1-1-1111111111111111100000000000000000000
χ392222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-2-2-2-2-2-2-2-22222222200000000000000-2-2-1-1-1-111-2-2111111-1-1-1-11111-1-1-1-1111100000000000000000000
χ402222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000022-1-1-1-111221111111111-1-1-1-11111-1-1-1-100000000000000000000
χ412222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-222-2-2-2-2222222-2-2-2-200000000000000-2-21111-1-1221111-1-1-1-1-1-111111111-1-1-1-100000000000000000000
χ422222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-222-2-2-2-222-2-2-2-2222200000000000000221111-1-1-2-21111-1-11111-1-1-1-1-1-1-1-1111100000000000000000000
χ432222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-22222-2-22222-2-2-2-20000000000000022111111-2-2-1-1-1-111-1-1-1-1-1-1-1-11111111100000000000000000000
χ442222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-22222-2-2-2-2-2-2222200000000000000-2-211111122-1-1-1-11111111111-1-1-1-1-1-1-1-100000000000000000000
χ45222222-2-2-2-22-2-2-2-2222222222-2-2-2-2-2-2-2-2222222-2-20000002-2-2200000000002-200000000-2-22200000000002-2-22000000000000000000220000-2-2000000000000
χ46222222-2-2-2-22-2-2-2-2222222222-2-2-2-2-2-2-2-2222222-2-2000000-222-200000000002-200000000-2-2220000000000-222-2000000000000000000-2-2000022000000000000
χ47222222-2-2-2-22-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2220000002-2-220000000000-220000000022-2-200000000002-2-22000000000000000000-2-2000022000000000000
χ48222222-2-2-2-22-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-222000000-222-20000000000-220000000022-2-20000000000-222-2000000000000000000220000-2-2000000000000
χ49222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-11111-1-1-1-11111000022-2-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i000000000000002i−2i-1-111-1-12i−2i-1-11111−i−iii−i−iii−i−iii−i−iii00000000000000000000
χ50222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-11111-1-1-1-11111000022-2-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000−2i2i-1-111-1-1−2i2i-1-11111ii−i−iii−i−iii−i−iii−i−i00000000000000000000
χ51222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-11111-1-1-1-11111000022-2-2-2-2-2-222222i2i−2i−2i2i2i−2i−2i00000000000000−2i2i-1-11111−2i2i11-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i00000000000000000000
χ52222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-11111-1-1-1-11111000022-2-2-2-2-2-22222−2i−2i2i2i−2i−2i2i2i000000000000002i−2i-1-111112i−2i11-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii00000000000000000000
χ53222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-11111-1-1-1-111110000-2-22222-2-222-2-22i2i−2i−2i−2i−2i2i2i00000000000000−2i2i11-1-1-1-12i−2i11-1-111−i−iiiii−i−iii−i−i−i−iii00000000000000000000
χ54222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-11111-1-1-1-111110000-2-22222-2-222-2-2−2i−2i2i2i2i2i−2i−2i000000000000002i−2i11-1-1-1-1−2i2i11-1-111ii−i−i−i−iii−i−iiiii−i−i00000000000000000000
χ55222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-11111-1-1-1-111110000-2-222-2-222-2-2222i2i−2i−2i−2i−2i2i2i000000000000002i−2i11-1-111−2i2i-1-111-1-1−i−iii−i−iiiii−i−iii−i−i00000000000000000000
χ56222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-11111-1-1-1-111110000-2-222-2-222-2-222−2i−2i2i2i2i2i−2i−2i00000000000000−2i2i11-1-1112i−2i-1-111-1-1ii−i−iii−i−i−i−iii−i−iii00000000000000000000
χ572222-2-22-2-22222-2-22-2-22222-2-22-22-222-2-22-22-222222-22-20000000000000000-2-222-2-222-2-22-22-2002-22-20000000000000000000000000000000000000000000000
χ582222-2-22-2-22222-2-22-2-22222-2-22-22-222-2-22-22-22222-22-220000000000000000-2-2-2-222-2-2222-22-200-22-220000000000000000000000000000000000000000000000
χ592222-2-22-2-22222-2-22-2-22222-2-22-22-222-2-22-22-2-2-2-2-22-22-2000000000000000022-2-222-2-222-22-22002-22-20000000000000000000000000000000000000000000000
χ602222-2-22-2-22222-2-22-2-22222-2-22-22-222-2-22-22-2-2-2-2-2-22-2200000000000000002222-2-222-2-2-22-2200-22-220000000000000000000000000000000000000000000000
χ612222-2-22-2-222-2-222-222-2222-2-22-22-2-2-222-22-22222200002-200002-200000000-2-200000000-22-220000002-20000002-20000000000000000002-22-200000000000000
χ622222-2-22-2-222-2-222-222-2222-2-22-22-2-2-222-22-2222220000-220000-2200000000-2-200000000-22-22000000-22000000-22000000000000000000-22-2200000000000000
χ632222-2-22-2-222-2-222-222-2222-2-22-22-2-2-222-22-22-2-2-2-200002-200002-20000000022000000002-22-20000002-20000002-2000000000000000000-22-2200000000000000
χ642222-2-22-2-222-2-222-222-2222-2-22-22-2-2-222-22-22-2-2-2-20000-220000-220000000022000000002-22-2000000-22000000-220000000000000000002-22-200000000000000
χ652222-2-2-222-2222-2-2-222-2222-2-2-22-2222-2-2-22-2222-2-22-2-220000000000000000-2222-2-2-2-2222-2-22002-2-220000000000000000000000000000000000000000000000
χ662222-2-2-222-2222-2-2-222-2222-2-2-22-2222-2-2-22-2222-2-2-222-20000000000000000-22-2-22222-2-22-2-2200-222-20000000000000000000000000000000000000000000000
χ672222-2-2-222-2222-2-2-222-2222-2-2-22-2222-2-2-22-22-2-2222-2-2200000000000000002-2-2-22222-2-2-222-2002-2-220000000000000000000000000000000000000000000000
χ682222-2-2-222-2222-2-2-222-2222-2-2-22-2222-2-2-22-22-2-222-222-200000000000000002-222-2-2-2-222-222-200-222-20000000000000000000000000000000000000000000000
χ692222-2-2-222-22-2-2222-2-22222-2-2-22-22-2-2222-22-222-2-200002-20000-2200000000-2200000000-222-20000002-2000000-220000000000000000002-2-2200000000000000
χ702222-2-2-222-22-2-2222-2-22222-2-2-22-22-2-2222-22-222-2-20000-2200002-200000000-2200000000-222-2000000-220000002-2000000000000000000-222-200000000000000
χ712222-2-2-222-22-2-2222-2-22222-2-2-22-22-2-2222-22-2-2-22200002-20000-22000000002-2000000002-2-220000002-2000000-22000000000000000000-222-200000000000000
χ722222-2-2-222-22-2-2222-2-22222-2-2-22-22-2-2222-22-2-2-2220000-2200002-2000000002-2000000002-2-22000000-220000002-20000000000000000002-2-2200000000000000
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Here i is the imaginary unit (i² = −1).