Finite Group Databasebeta

← Group #72252269

Character table — Group #72252269

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222224444444444444444444444444444448888888888888888888899991212121212121212121212121212121216161616161616161616161616161616181818181818181818182424242424242424242424242424242424242424242424243636484848484848484872727272
order1222222233444444666666234666666666666666121212121212121212121212224466666612121212121212121212222222222222444444446666666612121212121212122222444444666666668888888812121212121212122424242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ9111111-1-11111-1-111111111-11-11111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1
χ10111111-1-11111-1-111111111-11-11111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1
χ11111111-1-11111-1-111111111-11-11111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ12111111-1-11111-1-111111111-11-11111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111
χ13111111-1-11111-1-111111111-11-11111-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111
χ14111111-1-11111-1-111111111-11-11111-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111
χ15111111-1-11111-1-111111111-11-11111-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-11111-1-111-1-1
χ16111111-1-11111-1-111111111-11-11111-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1
χ171111-1-11111-1-1-1-111111111-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111111-11-11-11-1-1-1-1-1-1-1-1-1-111-11-11-11-11-11-1
χ181111-1-11111-1-1-1-111111111-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111111111-11-11-11-11-111-11-1
χ191111-1-11111-1-1-1-111111111-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11-11-1-11-11-1-1-1-111111-11-11-1-11-11-11-11
χ201111-1-11111-1-1-1-111111111-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-11111-1-1-1-11-1-11-111-11-1-11-11
χ211111-1-11111-1-1-1-111111111-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111111111-11-11-11-11-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11
χ221111-1-11111-1-1-1-111111111-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111111111-111-11-11-11-1-11-11
χ231111-1-11111-1-1-1-111111111-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-11-111-11-1-1-1-1-111111-1-11-111-11-11-11-1
χ241111-1-11111-1-1-1-111111111-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111-11-1-11-111111-1-1-1-11-11-11-1-11-111-11-1
χ251111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1111-1-111-1-111-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-11-1-111-1-11-1-111-1-1111-11-1-111-1-111-1-11
χ261111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1111-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-111-1-111-111-1-111-1-11-1-111-1-111-11-1-11
χ271111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1111-1-11-111-1-1-11111-1-1-111-1-11-111-1-111-1
χ281111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-111-11-1-1111-1-1-1-111-11-111-11-1-11-111-1
χ291111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-111-111-1-111-1-111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-111-1-111-1-1-111-1-1111-1-111-1-111-1-111-1
χ301111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-111-111-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1111-1-111-1-1111-1-111-1-11-11-1-111-1-11-111-1
χ311111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-111-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111-111-11-1-11-1-11111-1-1-11-111-11-1-111-1-11
χ321111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111111-111-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111-1-11111-1-111-1-1-1-11111-1-11-1-11-111-111-1-1-1-111-111-1-11-111-11-1-11
χ332222222222-2-2-2-2-2-222222222-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000222222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000002222-2-2-2-2-2-20000000000000000000000002-2000000000000
χ342222222222-2-2-2-2-2-222222222-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2222222000000000000000000000000-22000000000000
χ35222222222-12222222-12-12-12-1222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122222-1-1-1-1-12-1-1-1-1-1-1-1-1-1000000002222000022222-12-1-1-1-1-12-12-1-1-1-1-100000000000000-1-1-1-1000022220000-1-1-1-1000000-1-1-1-10000
χ36222222222-12222222-12-12-12-1222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122222-1-1-1-1-12-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2-2-22-12-1-1-1-1-12-12-1-1-1-1-10000000000000011110000-2-2-2-20000111100000011110000
χ37222222222-12222222-12-12-12-1222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-2-2-2-22-1-1-1-1-12-1-1-1-1-1-1-1-1-100000000222200002222-21-211111-21-21111100000000000000-1-1-1-10000-2-2-2-20000-1-1-1-100000011110000
χ38222222222-12222222-12-12-12-1222-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-2-2-2-22-1-1-1-1-12-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2-2-2-21-211111-21-2111110000000000000011110000222200001111000000-1-1-1-10000
χ3922222222-12222222-12-12-122-12-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1222222-12-1-1-1-1-12-1-1-1-1-1-1-1-100002222000022220000-12-12-1-1-1-1-12-12-1-1-1-10000000000-1-1-1-1000022220000-1-1-1-1000000-1-1-1-100000000
χ4022222222-12222222-12-12-122-12-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1222222-12-1-1-1-1-12-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-20000-12-12-1-1-1-1-12-12-1-1-1-1000000000011110000-2-2-2-200001111000000111100000000
χ4122222222-12222222-12-12-122-12-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-2-2-2-2-12-1-1-1-1-12-1-1-1-1-1-1-1-1000022220000222200001-21-211111-21-211110000000000-1-1-1-10000-2-2-2-20000-1-1-1-1000000111100000000
χ4222222222-12222222-12-12-122-12-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-2-2-2-2-12-1-1-1-1-12-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200001-21-211111-21-21111000000000011110000222200001111000000-1-1-1-100000000
χ43222222-2-222-2-222-2-2222222-2222222-2-2-2-22222222-2-2-2-22222-2-2-2-20000-2-2-2-2-2-222-2-2-2-2222222220000000000000000000000000000000022-2-2-2-2-2-222000000000000000000000000-22000000000000
χ44222222-2-222-2-222-2-2222222-2222222-2-2-2-22222222-2-2-2-22222-2-2-2-20000-2-2-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-2222222-2-20000000000000000000000002-2000000000000
χ45222222-2-22-122-2-2222-12-12-1-2-1-222-1-1-2-211-1-1-1-1-1-1-122-1-1-2-21122-1-122-2-2-211111-21-1-1-1-111110000000022-2-2000022-2-22-12-1-1-1-1-1-21-21111100000000000000-1-111000022-2-20000-1-111000000-1-1110000
χ46222222-2-22-122-2-2222-12-12-1-2-1-222-1-1-2-211-1-1-1-1-1-1-122-1-1-2-21122-1-122-2-2-211111-21-1-1-1-1111100000000-2-2220000-2-2222-12-1-1-1-1-1-21-2111110000000000000011-1-10000-2-222000011-1-100000011-1-10000
χ47222222-2-22-122-2-2222-12-12-1-2-1-222-1-1-2-211-1-1-1-1-1-1-122-1-1-2-21122-1-1-2-222-211111-21-1-1-1-111110000000022-2-2000022-2-2-21-2111112-12-1-1-1-1-100000000000000-1-1110000-2-2220000-1-11100000011-1-10000
χ48222222-2-22-122-2-2222-12-12-1-2-1-222-1-1-2-211-1-1-1-1-1-1-122-1-1-2-21122-1-1-2-222-211111-21-1-1-1-1111100000000-2-2220000-2-222-21-2111112-12-1-1-1-1-10000000000000011-1-1000022-2-2000011-1-1000000-1-1110000
χ49222222-2-2-1222-2-222-12-12-12-2-1-2-1-12211-2-2-1-1-1-1-1-1-1-1-12211-2-2-1-12222-2-21-211111-2-1-1-1-11111000022-2-2000022-2-20000-12-12-1-1-1-11-21-211110000000000-1-111000022-2-20000-1-111000000-1-11100000000
χ50222222-2-2-1222-2-222-12-12-12-2-1-2-1-12211-2-2-1-1-1-1-1-1-1-1-12211-2-2-1-12222-2-21-211111-2-1-1-1-111110000-2-2220000-2-2220000-12-12-1-1-1-11-21-21111000000000011-1-10000-2-222000011-1-100000011-1-100000000
χ51222222-2-2-1222-2-222-12-12-12-2-1-2-1-12211-2-2-1-1-1-1-1-1-1-1-12211-2-2-1-122-2-2221-211111-2-1-1-1-11111000022-2-2000022-2-200001-21-21111-12-12-1-1-1-10000000000-1-1110000-2-2220000-1-11100000011-1-100000000
χ52222222-2-2-1222-2-222-12-12-12-2-1-2-1-12211-2-2-1-1-1-1-1-1-1-1-12211-2-2-1-122-2-2221-211111-2-1-1-1-111110000-2-2220000-2-22200001-21-21111-12-12-1-1-1-1000000000011-1-1000022-2-2000011-1-1000000-1-11100000000
χ532222-2-222222222-2-2222222-22-2-2-2-2-222222-2-2-2-22222222222-2-2-2-20000-2-222-2-2-2-2-2-222-2-222222200000000000000000000000000000000-2-222-2-22222000000000000000000000000-2-2000000000000
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χ14488-8-80000-4-400−8i8i00-4-44444020000000002-66-66-2-200004i−4i4i−4i000000000000000000006i−6i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-88-8008-88-4000000-848-4-840-4000008-8-44400004-4000000000000000000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-88-8008-8-480000004-8-484-80-400000-448-8400004-4000000000000000000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-88-8008-8-4-400000044-4-4440200000-44-44-26-6-66-220000000000000000002-26-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-88-8008-8-4-400000044-4-4440200000-44-44-2-666-6-220000000000000000002-2-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-88-800-888-4000000-848-4-840-400000-884-4400004-40000000000000000004-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-88-800-88-480000004-8-484-80-4000004-4-88400004-40000000000000000004-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-88-800-88-4-400000044-4-44402000004-44-4-26-6-66-22000000000000000000-22-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-88-800-88-4-400000044-4-44402000004-44-4-2-666-6-22000000000000000000-226-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-8-888-800-4-48-8008-84444-4-4020-44-440000-222-2-22-2-44-440000-44-440000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-8-888-800-4-4-8800-884444-4-4020-44-440000-222-2-22-24-44-400004-44-4000000000000-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-88-8800-4-48-800-884444-4-40204-44-40000-2-2-2222-2-44-4400004-44-4000000000000-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-88-8800-4-4-88008-84444-4-40204-44-40000-2-2-2222-24-44-40000-44-440000000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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