Finite Group Databasebeta

← Group #72226474

Character table — Group #72226474

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size11222222244444444444488888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616252540404040404040405050505050505080808080808080808080808080808080100100100100100100100100100100100100100100100100100100100100200200200200200200200200
order122224444444455101020202020551010101010101010101010102020202020202020202020202020101010102020202020202020202020202020202020202020202020202020202022224444442224444101010102020202020202020202020204444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-11-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ6111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-11-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ11111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ13111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111-1-111-1-1ii−i−i1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1i−ii−i1-1-11-11-11111-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i1-1i−i
χ18111-1-111-1-1ii−i−i1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1i−ii−i1-1-11-11-11111-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11−ii-11−ii
χ19111-1-111-1-1ii−i−i1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-111−ii−ii1-1-11-11-1-1-1-1-11111−i−iii−i−iiiii−i−i11-1-111-1-1ii−i−iii−i−i-11−ii-11−ii
χ20111-1-111-1-1ii−i−i1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-111−ii−ii1-1-11-11-1-1-1-1-11111−i−iii−i−iiiii−i−i-1-111-1-111−i−iii−i−iii1-1i−i1-1i−i
χ21111-1-111-1-1ii−i−i1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-11-1-11i−i−ii-111-11-1111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iii-1-11111-1-1i−i-11−ii1-1
χ22111-1-111-1-1ii−i−i1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-11-1-11i−i−ii-111-11-1111-1-1-1-111ii−i−i−i−iii−i−iii−i−iiiii−i−i11-1-1-1-111−ii1-1i−i-11
χ23111-1-111-1-1ii−i−i1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-111-1−iii−i-111-11-11-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−ii1-1i−i-11
χ24111-1-111-1-1ii−i−i1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-111-1−iii−i-111-11-11-1-11111-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111i−i-11−ii1-1
χ25111-1-111-1-1−i−iii1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1111-1-1−ii−ii1-1-11-11-11111-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii1-1−ii
χ26111-1-111-1-1−i−iii1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1111-1-1−ii−ii1-1-11-11-11111-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11i−i-11i−i
χ27111-1-111-1-1−i−iii1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-111i−ii−i1-1-11-11-1-1-1-1-11111ii−i−iii−i−i−i−iii11-1-111-1-1−i−iii−i−iii-11i−i-11i−i
χ28111-1-111-1-1−i−iii1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-111i−ii−i1-1-11-11-1-1-1-1-11111ii−i−iii−i−i−i−iii-1-111-1-111ii−i−iii−i−i1-1−ii1-1−ii
χ29111-1-111-1-1−i−iii1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-11-1-11−iii−i-111-11-1111-1-1-1-111−i−iiiii−i−iii−i−iii−i−i−i−iii11-1-1-1-111i−i1-1−ii-11
χ30111-1-111-1-1−i−iii1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-11-1-11−iii−i-111-11-1111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i-1-11111-1-1−ii-11i−i1-1
χ31111-1-111-1-1−i−iii1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-111-1i−i−ii-111-11-11-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−ii-11i−i1-1
χ32111-1-111-1-1−i−iii1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-111-1i−i−ii-111-11-11-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1i−i1-1−ii-11
χ3322222-2-2-2-22-22-22222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-22200000000222-2-2-2-200000000000000002-22-2000000000000000000000000
χ3422222-2-2-2-22-22-22222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000-2-2-222220000000000000000-22-22000000000000000000000000
χ3522222-2-2-2-2-22-222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222222200000000222-2-2-2-20000000000000000-22-22000000000000000000000000
χ3622222-2-2-2-2-22-222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-200000000-2-2-2222200000000000000002-22-2000000000000000000000000
χ37222-2-2-2-2222i−2i−2i2i222222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i22000000002-2-2-22-2200000000000000002i−2i−2i2i000000000000000000000000
χ38222-2-2-2-2222i−2i−2i2i222222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i-2-200000000-2222-22-20000000000000000−2i2i2i−2i000000000000000000000000
χ39222-2-2-2-222−2i2i2i−2i222222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i22000000002-2-2-22-220000000000000000−2i2i2i−2i000000000000000000000000
χ40222-2-2-2-222−2i2i2i−2i222222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i-2-200000000-2222-22-200000000000000002i−2i−2i2i000000000000000000000000
χ4122-22-22-22-200002222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000002200000000-22-222-2-200000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ4222-22-22-22-200002222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000002200000000-22-222-2-20000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ4322-22-22-22-200002222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000-2-2000000002-22-2-22200000000000000000000000000002-22-2-22-2200000000
χ4422-22-22-22-200002222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000-2-2000000002-22-2-2220000000000000000000000000000-22-222-22-200000000
χ4522-22-2-22-2200002222-2-2-2-222-2-2-2-222-2-2-2-222-2-222222222-2-2-2-2-2-222-2-2220000000000000000000000002200000000-22-2-2-222000000000000000000002-22-22-22-20000000000000000
χ4622-22-2-22-2200002222-2-2-2-222-2-2-2-222-2-2-2-222-2-222222222-2-2-2-2-2-222-2-2220000000000000000000000002200000000-22-2-2-22200000000000000000000-22-22-22-220000000000000000
χ4722-22-2-22-2200002222-2-2-2-222-2-2-2-222-2-2-2-222-2-222222222-2-2-2-2-2-222-2-222000000000000000000000000-2-2000000002-2222-2-2000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ4822-22-2-22-2200002222-2-2-2-222-2-2-2-222-2-2-2-222-2-222222222-2-2-2-2-2-222-2-222000000000000000000000000-2-2000000002-2222-2-200000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4922-2-222-2-2200002222-2-2-2-222-2-222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000002200000000-2-222-2-2200000000000000000000000000002-2-222-2-2200000000
χ5022-2-222-2-2200002222-2-2-2-222-2-222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000002200000000-2-222-2-220000000000000000000000000000-222-2-222-200000000
χ5122-2-222-2-2200002222-2-2-2-222-2-222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-20000000022-2-222-200000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ5222-2-222-2-2200002222-2-2-2-222-2-222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-20000000022-2-222-20000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ5322-2-22-222-200002222222222-2-222222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-20000000000000000000000002200000000-2-22-222-2000000000000000000002-2-222-2-220000000000000000
χ5422-2-22-222-200002222222222-2-222222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-20000000000000000000000002200000000-2-22-222-200000000000000000000-222-2-222-20000000000000000
χ5522-2-22-222-200002222222222-2-222222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-20000000022-22-2-22000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ5622-2-22-222-200002222222222-2-222222222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-20000000022-22-2-2200000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ5744444444444444-14-144-1-1-1-14-14-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-10004040044000000000-1-100-1-10000-1-1-1-10000000000000000000000000000
χ5844444444444444-14-144-1-1-1-14-14-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1000-40-400-4-4000000000110011000011110000000000000000000000000000
χ594444444444444-14-14-1-144-1-1-14-14-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-100404044000000000-1-100-1-100-1-1-1-100000000000000000000000000000000
χ604444444444444-14-14-1-144-1-1-14-14-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-100-40-40-4-400000000011001100111100000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).