Finite Group Databasebeta

← Group #11792757

Character table — Group #11792757

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222444444444444444488888888888824242424242424241111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order12222234444666666688881212121224242424242424244444121212121212121224888888366666312121212666666624242424121212122424242424242424121212121212121212121212612242424242424366666312121212666666624242424121212122424242424242424121212121212121212121212612242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
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χ1624-4-44-44-2-444-42222-2-2-20000-2-2220000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300001+i31+i3−1−i3−1−i30000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300001−i31−i3−1+i3−1+i30000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.