Finite Group Databasebeta

← Group #72223490

Character table — Group #72223490

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size11222222244444444888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161620202020202020202525404040405050505050505080808080808080808080808080808080100100100100100100100100100100100100100100100100200200200200200200200200200200
order122224444551010202020205588101010101010101010101010202020202020202020202020202010101010202020204040404040404040404040404040404040404040404040402222444422224422244441010101010101010202020202020202088888888888888884444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i-1-1ii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii-1-1−i−iii
χ51111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−i-1-1−i−iii
χ61111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-1ii−i−i
χ71111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ91111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-111-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−iii11−i−iii
χ121111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiii−i−i11ii−i−i
χ131111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii11ii−i−i
χ141111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i11−i−iii
χ151111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ161111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ17111-1-11-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-11-1-1-1-1111-1111-1111-1-1-11-1-1-111-1-111-1-111-1-111-1-11-11-11-11-11-1
χ18111-1-11-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-11-1-1-1-1111-1111-1111-1-1-11-1-1-1-1-111-1-111-1-111-1-111-11-111-1-11-11
χ19111-1-11-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11-1-11-11111-1-11-111-11-1-11-1-1-1-1111ii−i−iii−i−i−i−iii−i−iiii−i−ii-11i−i−ii
χ20111-1-11-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11-1-11-11111-1-11-111-11-1-11-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i−iii−i-11−iii−i
χ21111-1-11-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-11-1-11-111-11111-1-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−ii-11−iii−i
χ22111-1-11-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-11-1-11-111-11111-1-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i-11i−i−ii
χ23111-1-11-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-1111-1-1-1-111-11-1-1-11-1-1-1111-111111-1-1-1-111-1-11111-1-11-11-11-1-11-11
χ24111-1-11-1-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-1111-1-1-1-111-11-1-1-11-1-1-1111-1111-1-11111-1-111-1-1-1-111-11-111-11-11-1
χ25111-1-11-1-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-111-1-1111-1-1-1-1111-1-1-11-1-1-11-1111-11111-1-111-1-111-1-111-1-1-11-11-11-11-11
χ26111-1-11-1-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-111-1-1111-1-1-1-1111-1-1-11-1-1-11-1111-111-1-111-1-111-1-111-1-1111-11-1-111-11-1
χ27111-1-11-1-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-11-1-1-111-1-11111-1-11-1-1-1-11111-111-11-1-1ii−i−iii−i−i−i−iii−i−iii−iii−i1-1−iii−i
χ28111-1-11-1-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-11-1-1-111-1-11111-1-11-1-1-1-11111-111-11-1-1−i−iii−i−iiiii−i−iii−i−ii−i−ii1-1i−i−ii
χ29111-1-11-1-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-111-1-1-11-1-11-11111-1-1-11111-1-1-1-11-1-11-111ii−i−i−i−iiiii−i−i−i−iii−iii−i1-1i−i−ii
χ30111-1-11-1-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-111-1-1-11-1-11-11111-1-1-11111-1-1-1-11-1-11-111−i−iiiii−i−i−i−iiiii−i−ii−i−ii1-1−iii−i
χ31111-1-11-1-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-111111-1-11-1-1-1-111-1111-1111-11-1-1-11-1-111-1-1-1-111-1-11111-1-1-11-11-111-11-1
χ32111-1-11-1-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-111111-1-11-1-1-1-111-1111-1111-11-1-1-11-1-1-1-11111-1-111-1-1-1-1111-11-1-11-11-11
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χ3522222-2-2-2-22222-2-2-2-22200222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-20000-2-2-2222200000000000000002-22-200000000-22-220000000000
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Here i is the imaginary unit (i² = −1).