Finite Group Databasebeta

← Group #72314684

Character table — Group #72314684

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184
size1111111122222222222222222222222222228888888888888888888888888888888888888888888888888888888811111111222222222222222222222222222288888888888888888888888888888888888888888888888888888888
order1222222222222222222244444444444444442222222244444444444444444444444444444444888888888888888822222222222222222222444444444444444422222222444444444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1211111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1311111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1411111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1511111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1611111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ17111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ18111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii
χ19111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ20111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i
χ21111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ22111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i
χ23111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ24111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii111-1-11-1-111-1111-1-1-1-11-11111-1-1-1-1111-1-1-11-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii
χ25111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1
χ26111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111
χ27111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111
χ28111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1
χ29111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111
χ30111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1
χ31111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1
χ32111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111111-1-11-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111
χ3322222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002-22-22-22-2000000000000000000000000000000000000000022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002-22-22-22-20000000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-22-22-22-22000000000000000000000000000000000000000022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-22-22-22-220000000000000000000000000000000000000000
χ3522222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-222222222000000002-22-2-22-22000000000000000000000000000000000000000022222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-222222222000000002-22-2-22-220000000000000000000000000000000000000000
χ3622222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-22222222200000000-22-222-22-2000000000000000000000000000000000000000022222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2-2-22222222200000000-22-222-22-20000000000000000000000000000000000000000
χ3722222222-2-2-222-22-2-2-2-2222-2-222-2-222-222-2-2-200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000022222222-2-2-222-22-2-2-2-2222-2-222-2-222-222-2-2-200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ3822222222-2-2-222-22-2-2-2-2222-2-222-2-222-222-2-2-20000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000022222222-2-2-222-22-2-2-2-2222-2-222-2-222-222-2-2-20000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ3922222222-2-2-222-22-2-2-2-22-2-222-2-222-2-22-2-22220000000000000000000000000000000000000000000000002-22-22-22-222222222-2-2-222-22-2-2-2-22-2-222-2-222-2-22-2-22220000000000000000000000000000000000000000000000002-22-22-22-2
χ4022222222-2-2-222-22-2-2-2-22-2-222-2-222-2-22-2-2222000000000000000000000000000000000000000000000000-22-22-22-2222222222-2-2-222-22-2-2-2-22-2-222-2-222-2-22-2-2222000000000000000000000000000000000000000000000000-22-22-22-22
χ4122222222-2-2-2-2-22-222-22-222-2-222-2-2-2-22-2-222200000000000000000000000000000000000000002-22-2-22-220000000022222222-2-2-2-2-22-222-22-222-2-222-2-2-2-22-2-222200000000000000000000000000000000000000002-22-2-22-2200000000
χ4222222222-2-2-2-2-22-222-22-222-2-222-2-2-2-22-2-22220000000000000000000000000000000000000000-22-222-22-20000000022222222-2-2-2-2-22-222-22-222-2-222-2-2-2-22-2-22220000000000000000000000000000000000000000-22-222-22-200000000
χ4322222222-2-2-2-2-22-222-22-2-2-222-2-22222-222-2-2-20000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i22222222-2-2-2-2-22-222-22-2-2-222-2-22222-222-2-2-20000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ4422222222-2-2-2-2-22-222-22-2-2-222-2-22222-222-2-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i22222222-2-2-2-2-22-222-22-2-2-222-2-22222-222-2-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ45222-2-22-2-222-2222-2-2-2-22-2-2-2-2-22222-2-2-2222-22000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000222-2-22-2-222-2222-2-2-2-22-2-2-2-2-22222-2-2-2222-22000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
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χ1772-2-2-2-2222-222-2222-22-2-2-22-2-22-222-2-2222-2-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000-22222-2-2-22-2-22-2-2-22-2222-222-22-2-222-2-2-2222-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
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χ1792-2-2-2-2222-222-2222-22-2-2-2-222-22-2-222-2-2-2222-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000-22222-2-2-22-2-22-2-2-22-22222-2-22-222-2-2222-2-2-2200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
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Here i is the imaginary unit (i² = −1).