Finite Group Databasebeta

← Group #72271364

Character table — Group #72271364

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222222222222222222222222222222224444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888242424242424242424242424242424244848484848484848
order1222222222222234444444466666666666666622222244444444666666661212121212121212121212121212121222222222224466666666666666666666666688888888121212121212121224242424242424242424242424242424888888888888888844448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ101111111111-1-1-1-111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ121111111111-1-1-1-111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ131111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ141111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ151111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ161111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ18111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ19111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-11-11-11-11
χ20111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1111-11-11-11-1
χ21111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1111-11-1-11-11
χ22111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-11-111-11-1
χ23111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ24111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ25111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ26111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ27111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ28111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ29111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ30111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ31111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ32111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222-2-2-2-2-2-2-2-2222222222222222220000-2-2-2-2000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ34222222222222222-2-2-2-2-2-2-2-2222222222222222220000-2-2-2-2000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ3522222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3622222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000000000
χ3722222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000000000
χ3822222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111112222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ392222222222-2-2-2-22-2-2-2-22222222222222222222-2-20000-2-2220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-200000000000000000000000000000000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ402222222222-2-2-2-22-2-2-2-22222222222222222222-2-20000-2-2220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-20000000000000000000000000000000000000000000000000000000000000000000000000000-22-222-22-200000000
χ412222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222222-2-2-2-2-2-211111111-1-1-1-1-1-1-111111111-1222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000000000000000000000
χ422222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222222-2-2-2-2-2-211111111-1-1-1-1-1-1-111111111-122-2-2-2-22222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000000000000000000000000
χ432222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2222211111111-1-1-1-1-1-1-111111111-1-2-22222-2-2-2-22211111111-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000
χ442222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2222211111111-1-1-1-1-1-1-111111111-1-2-2-2-2-2-22222221111111111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000
χ45222222-2-2-2-222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-2-20000222200002222-2-2-2-2-2-2-22222-2-2-2-22222-200000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ46222222-2-2-2-222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-2-20000222200002222-2-2-2-2-2-2-22222-2-2-2-22222-20000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
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χ1554-4-44-440000-444-4-24-44-4-444-42222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-2000000000000002-2-222i3−2i3−2i32i3-22-2−2i32i32i3−2i32-2-222i3−2i3−2i32i3200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1564-4-44-440000-444-4-24-44-4-444-42222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-2000000000000002-2-22−2i32i32i3−2i3-22-22i3−2i3−2i32i32-2-22−2i32i32i3−2i3200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15788-8-800008-800008000000008-8000000008-88-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15888-8-800008-80000-400000000-44−4i34i3−4i34i3−4i34i3−4i34i3-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15988-8-800008-80000-400000000-444i3−4i34i3−4i34i3−4i34i3−4i3-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16088-8-80000-8800008000000008-800000000-88-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16188-8-80000-880000-400000000-44−4i34i3−4i34i34i3−4i34i3−4i34-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16288-8-80000-880000-400000000-444i3−4i34i3−4i3−4i34i3−4i34i34-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1638-88-8008-8000000800000000-8800008-8-880000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1648-88-8008-8000000-4000000004-4−4i34i34i3−4i3-444-4−4i34i34i3−4i340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1658-88-8008-8000000-4000000004-44i3−4i3−4i34i3-444-44i3−4i3−4i34i340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1668-88-800-88000000800000000-880000-888-80000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-88-800-88000000-4000000004-4−4i34i34i3−4i34-4-444i3−4i3−4i34i340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-88-800-88000000-4000000004-44i3−4i3−4i34i34-4-44−4i34i34i3−4i340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).