Finite Group Databasebeta

← Group #13178804

Character table — Group #13178804

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636363636363636363636363636363636363636363636363636
order122222222233366666666666666666666633333666666666666666666666666666666666666666666666666666666666666666666666666666666666666666444444444444121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-1111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-1111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-1111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ121111-1-111-1-1111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-11-1-11-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-122-122222222-1-1-1-12222-1-12-1-1-1-122-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-1
χ18222222222222-122-122222222-1-1-1-12222-1-12-1-1-1-122-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111
χ1922222222222-122-122222-1-1-1-1222222-1-122-12-1-1-1-1-122222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000-1-1-1-1-1-1-1-100000000
χ2022222222222-122-122222-1-1-1-1222222-1-122-12-1-1-1-1-122222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000001111111100000000
χ212222222222-122-122-1-1-1-122222222-1-12222-1-12-1-12222-1-122-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-10000000000000000
χ222222222222-122-122-1-1-1-122222222-1-12222-1-12-1-12222-1-122-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000111111110000000000000000
χ23222222-2-2-2-222-122-12222-2-2-2-211112222-1-12-1-1-1-122-1-1-2-211-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110000000022-2-20000000000000000-1-1-1-11111
χ24222222-2-2-2-222-122-12222-2-2-2-211112222-1-12-1-1-1-122-1-1-2-211-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100000000-2-22200000000000000001111-1-1-1-1
χ25222222-2-2-2-22-122-1222221111-2-2-2-222-1-122-12-1-1-1-1-122-2-2-2-2-2-211-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111000022-2-2000000000000-1-1-1-1111100000000
χ26222222-2-2-2-22-122-1222221111-2-2-2-222-1-122-12-1-1-1-1-122-2-2-2-2-2-211-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-21111111111110000-2-2220000000000001111-1-1-1-100000000
χ27222222-2-2-2-2-122-122-1-1-1-1-2-2-2-2-2-2-2-2-1-12222-1-12-1-1222211-2-211-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-21111111122-2-200000000-1-1-1-111110000000000000000
χ28222222-2-2-2-2-122-122-1-1-1-1-2-2-2-2-2-2-2-2-1-12222-1-12-1-1222211-2-211-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-2-222000000001111-1-1-1-10000000000000000
χ292222-2-222-2-222-122-1-2-2-2-2222211112222-1-12-1-1-1-1-2-21122-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000000002-22-20000000000000000-1-111-1-111
χ302222-2-222-2-222-122-1-2-2-2-2222211112222-1-12-1-1-1-1-2-21122-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100000000-22-22000000000000000011-1-111-1-1
χ312222-2-222-2-22-122-12-2-2-2-2-1-1-1-1-2-2-2-222-1-122-12-1-1-111-2-22222-2-211-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100002-22-2000000000000-1-111-1-11100000000
χ322222-2-222-2-22-122-12-2-2-2-2-1-1-1-1-2-2-2-222-1-122-12-1-1-111-2-22222-2-211-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110000-22-2200000000000011-1-111-1-100000000
χ332222-2-222-2-2-122-12211112222-2-2-2-2-1-12222-1-12-1-1-2-2-2-2-1-12211-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111112-22-200000000-1-111-1-1110000000000000000
χ342222-2-222-2-2-122-12211112222-2-2-2-2-1-12222-1-12-1-1-2-2-2-2-1-12211-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111-22-220000000011-1-111-1-10000000000000000
χ352222-2-2-2-22222-122-1-2-2-2-2-2-2-2-2-1-1-1-12222-1-12-1-1-1-1-2-211-2-2112222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002-2-220000000000000000-1-11111-1-1
χ362222-2-2-2-22222-122-1-2-2-2-2-2-2-2-2-1-1-1-12222-1-12-1-1-1-1-2-211-2-2112222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-222-2000000000000000011-1-1-1-111
χ372222-2-2-2-2222-122-12-2-2-2-21111222222-1-122-12-1-1-111-2-2-2-2-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002-2-22000000000000-1-11111-1-100000000
χ382222-2-2-2-2222-122-12-2-2-2-21111222222-1-122-12-1-1-111-2-2-2-2-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-222-200000000000011-1-1-1-11100000000
χ392222-2-2-2-222-122-1221111-2-2-2-22222-1-12222-1-12-1-1-2-2-2-211-2-2-1-122-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-2200000000-1-11111-1-10000000000000000
χ402222-2-2-2-222-122-1221111-2-2-2-22222-1-12222-1-12-1-1-2-2-2-211-2-2-1-122-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-222-20000000011-1-1-1-1110000000000000000
χ4122-2-22-22-22-222222222-2-222-2-222-2-2-2-2-2-2-2-2222222-22-22-22-22-22-22-2-22-2-22-2-222-2-2-2-222-2-222-2-222-2-22222-2-2-2-222-2-222-2-222-2-22222-2-2-2-222-2-222-2-222-2-22222-2-2-2-2000000000000000000000000000000000000
χ4222-2-22-22-22-222-122-122-2-222-2-2-1-111-2-2-2-2112-1-1-1-12-2-112-2-112-22-22-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-1111100000000000000000000000000003−33−33−33−3
χ4322-2-22-22-22-222-122-122-2-222-2-2-1-111-2-2-2-2112-1-1-1-12-2-112-2-112-22-22-2-2-111-111-1-1111122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-111-1-111-1-1-1-111110000000000000000000000000000−33−33−33−33
χ4422-2-22-22-22-22-122-1222-2-2-1-11122-2-2-2-211-2-2-12-1-1-1-112-22-22-22-2-11-1112-2-2-111-1-11111-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-11111000000000000000000003−33−33−33−300000000
χ4522-2-22-22-22-22-122-1222-2-2-1-11122-2-2-2-211-2-2-12-1-1-1-112-22-22-22-2-11-1112-2-2-111-1-11111-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-11111-1-11122-2-2-1-111-1-1-1-1111100000000000000000000−33−33−33−3300000000
χ4622-2-22-22-22-2-122-122-1-11122-2-222-2-211-2-2-2-2-1-12-1-12-22-2-112-2-112-2-111-1112-2-2-1-11111-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-111110000000000003−33−33−33−30000000000000000
χ4722-2-22-22-22-2-122-122-1-11122-2-222-2-211-2-2-2-2-1-12-1-12-22-2-112-2-112-2-111-1112-2-2-1-11111-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-11111-1-111-1-11122-2-2-1-1-1-11111000000000000−33−33−33−330000000000000000
χ4822-2-22-2-22-2222222222-2-2-2-222-2-222-2-2-2-2-2-2222222-22-2-22-22-22-222-2-22-2-22-2-222-2-2-2-222-2-222-2-222-2-22222-2-2-2-2-2-222-2-222-2-222-2-2-2-22222-2-222-2-222-2-222-2-2-2-22222000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).