Finite Group Databasebeta

← Group #72340754

Character table — Group #72340754

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111122222222222222444444444444888888888888888888888816161616161616161616161616161616111122222222222222444444444444888888888888888888888816161616161616161616161616161616
order1244222222244444442222444444442222444444444488888888244444448888888822442222222444444422224444444422224444444444888888882444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ611111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111
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χ701111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ72111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ7311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-111-1-111
χ7411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1
χ7511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ7611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ77111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111
χ78111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1
χ79111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ80111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ82111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ83111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ84111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1
χ852222222-2-2-2-22-2-22-22-222-2-222-2-200000000000000000000000000002i−2i0000002i−2i0000-2-2-2-2-2-2-22222-222-22-22-2-222-2-2220000000000000000000000000000−2i2i000000−2i2i0000
χ862222222-2-2-2-22-2-22-22-222-2-222-2-20000000000000000000000000000−2i2i000000−2i2i0000-2-2-2-2-2-2-22222-222-22-22-2-222-2-22200000000000000000000000000002i−2i0000002i−2i0000
χ872222222-2-2-2-22-2-22-22-2-2-222-2-22200000000000000000000000000002i−2i000000−2i2i0000-2-2-2-2-2-2-22222-222-22-2222-2-222-2-20000000000000000000000000000−2i2i0000002i−2i0000
χ882222222-2-2-2-22-2-22-22-2-2-222-2-2220000000000000000000000000000−2i2i0000002i−2i0000-2-2-2-2-2-2-22222-222-22-2222-2-222-2-200000000000000000000000000002i−2i000000−2i2i0000
χ8922222-2-222-2-2-22-222-2-22-22-22-22-20000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000-2-2-2-2-222-2-2222-22-2-222-22-22-22-22000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ9022222-2-222-2-2-22-222-2-22-22-22-22-2000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000-2-2-2-2-222-2-2222-22-2-222-22-22-22-220000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ9122222-2-222-2-2-22-222-2-2-22-22-22-220000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000-2-2-2-2-222-2-2222-22-2-2222-22-22-22-2000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ9222222-2-222-2-2-22-222-2-2-22-22-22-22000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000-2-2-2-2-222-2-2222-22-2-2222-22-22-22-20000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ9322222-2-2-2-222-2-222-2-222-2-222-2-220000000000000000000000000000002-20000002-200-2-2-2-2-22222-2-222-2-222-2-222-2-222-2000000000000000000000000000000-22000000-2200
χ9422222-2-2-2-222-2-222-2-222-2-222-2-22000000000000000000000000000000-22000000-2200-2-2-2-2-22222-2-222-2-222-2-222-2-222-20000000000000000000000000000002-20000002-200
χ9522222-2-2-2-222-2-222-2-22-222-2-222-20000000000000000000000000000002-2000000-2200-2-2-2-2-22222-2-222-2-222-22-2-222-2-22000000000000000000000000000000-220000002-200
χ9622222-2-2-2-222-2-222-2-22-222-2-222-2000000000000000000000000000000-220000002-200-2-2-2-2-22222-2-222-2-222-22-2-222-2-220000000000000000000000000000002-2000000-2200
χ972222-22-22-22-22-22-22-2-20000000000002-2002-200002i2i−2i−2i00002i−2i2i−2i0000000000000000-2-2-2-22-22-22-22-22-22-222000000000000-2200-220000−2i−2i2i2i0000−2i2i−2i2i0000000000000000
χ982222-22-22-22-22-22-22-2-20000000000002-2002-20000−2i−2i2i2i0000−2i2i−2i2i0000000000000000-2-2-2-22-22-22-22-22-22-222000000000000-2200-2200002i2i−2i−2i00002i−2i2i−2i0000000000000000
χ992222-22-22-22-22-22-22-2-2000000000000-2200-2200002i2i−2i−2i0000−2i2i−2i2i0000000000000000-2-2-2-22-22-22-22-22-22-2220000000000002-2002-20000−2i−2i2i2i00002i−2i2i−2i0000000000000000
χ1002222-22-22-22-22-22-22-2-2000000000000-2200-220000−2i−2i2i2i00002i−2i2i−2i0000000000000000-2-2-2-22-22-22-22-22-22-2220000000000002-2002-200002i2i−2i−2i0000−2i2i−2i2i0000000000000000
χ1012222-2-222-2-22-2-2-2-2222000000002222002-2002-2-2-2000000002-2-220000000000000000-2-2-2-222-2-222-22222-2-2-200000000-2-2-2-200-2200-222200000000-222-20000000000000000
χ1022222-2-222-2-22-2-2-2-222200000000222200-2200-22-2-200000000-222-20000000000000000-2-2-2-222-2-222-22222-2-2-200000000-2-2-2-2002-2002-222000000002-2-220000000000000000
χ1032222-2-222-2-22-2-2-2-222200000000-2-2-2-2002-2002-22200000000-222-20000000000000000-2-2-2-222-2-222-22222-2-2-200000000222200-2200-22-2-2000000002-2-220000000000000000
χ1042222-2-222-2-22-2-2-2-222200000000-2-2-2-200-2200-2222000000002-2-220000000000000000-2-2-2-222-2-222-22222-2-2-2000000002222002-2002-2-2-200000000-222-20000000000000000
χ10522-2-2222-2-2-2-2-222-22-22000000000000002200-2-2002i−2i2i−2i2i−2i2i−2i00000000000000000000-2-222-2-2-222222-2-22-22-200000000000000-2-2002200−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ10622-2-2222-2-2-2-2-222-22-22000000000000002200-2-200−2i2i−2i2i−2i2i−2i2i00000000000000000000-2-222-2-2-222222-2-22-22-200000000000000-2-20022002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ10722-2-2222-2-2-2-2-222-22-2200000000000000-2-20022002i−2i2i−2i−2i2i−2i2i00000000000000000000-2-222-2-2-222222-2-22-22-2000000000000002200-2-200−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ10822-2-2222-2-2-2-2-222-22-2200000000000000-2-2002200−2i2i−2i2i2i−2i2i−2i00000000000000000000-2-222-2-2-222222-2-22-22-2000000000000002200-2-2002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ10922-2-22-2-2-2-22222-2-222-20000000022-2-22-200-22002-200002-2-2200000000000000000000-2-222-22222-2-2-2-222-2-2200000000-2-222-22002-200-220000-222-200000000000000000000
χ11022-2-22-2-2-2-22222-2-222-20000000022-2-2-22002-2002-20000-222-200000000000000000000-2-222-22222-2-2-2-222-2-2200000000-2-2222-200-2200-2200002-2-2200000000000000000000
χ11122-2-22-2-2-2-22222-2-222-200000000-2-2222-200-2200-220000-222-200000000000000000000-2-222-22222-2-2-2-222-2-220000000022-2-2-22002-2002-200002-2-2200000000000000000000
χ11222-2-22-2-2-2-22222-2-222-200000000-2-222-22002-200-2200002-2-2200000000000000000000-2-222-22222-2-2-2-222-2-220000000022-2-22-200-22002-20000-222-200000000000000000000
χ11322-2-2-22-22-22-2-22-22-2222-22-2-22-22000000000000000000000000002-20000002-2000000-2-2222-22-22-222-22-22-2-2-22-222-22-200000000000000000000000000-22000000-22000000
χ11422-2-2-22-22-22-2-22-22-2222-22-2-22-2200000000000000000000000000-22000000-22000000-2-2222-22-22-222-22-22-2-2-22-222-22-2000000000000000000000000002-20000002-2000000
χ11522-2-2-22-22-22-2-22-22-222-22-222-22-2000000000000000000000000002-2000000-22000000-2-2222-22-22-222-22-22-2-22-22-2-22-2200000000000000000000000000-220000002-2000000
χ11622-2-2-22-22-22-2-22-22-222-22-222-22-200000000000000000000000000-220000002-2000000-2-2222-22-22-222-22-22-2-22-22-2-22-22000000000000000000000000002-2000000-22000000
χ11722-2-2-22-2-22-22-2-22222-22-2-22-222-222-2-200000000-222-2-22000000000000000000000000-2-2222-222-22-222-2-2-2-22-222-22-2-22-2-222000000002-2-222-2000000000000000000000000
χ11822-2-2-22-2-22-22-2-22222-22-2-22-222-2-2-222000000002-2-222-2000000000000000000000000-2-2222-222-22-222-2-2-2-22-222-22-2-2222-2-200000000-222-2-22000000000000000000000000
χ11922-2-2-22-2-22-22-2-22222-2-222-22-2-2222-2-200000000-22-222-2000000000000000000000000-2-2222-222-22-222-2-2-2-222-2-22-222-2-2-222000000002-22-2-22000000000000000000000000
χ12022-2-2-22-2-22-22-2-22222-2-222-22-2-22-2-222000000002-22-2-22000000000000000000000000-2-2222-222-22-222-2-2-2-222-2-22-222-222-2-200000000-22-222-2000000000000000000000000
χ12122-2-2-2-222-2-222222-2-2-22222-2-2-2-2000000000000000000000000000000002i−2i0000002i−2i-2-22222-2-222-2-2-2-2-2222-2-2-2-2222200000000000000000000000000000000−2i2i000000−2i2i
χ12222-2-2-2-222-2-222222-2-2-22222-2-2-2-200000000000000000000000000000000−2i2i000000−2i2i-2-22222-2-222-2-2-2-2-2222-2-2-2-22222000000000000000000000000000000002i−2i0000002i−2i
χ12322-2-2-2-222-2-222222-2-2-2-2-2-2-22222000000000000000000000000000000002i−2i000000−2i2i-2-22222-2-222-2-2-2-2-22222222-2-2-2-200000000000000000000000000000000−2i2i0000002i−2i
χ12422-2-2-2-222-2-222222-2-2-2-2-2-2-2222200000000000000000000000000000000−2i2i0000002i−2i-2-22222-2-222-2-2-2-2-22222222-2-2-2-2000000000000000000000000000000002i−2i000000−2i2i
χ12522-2-2-2-22-222-22-2-222-2222-2-2-2-2220000222-2-2-2-22000000000000000000000000000000-2-22222-22-2-22-222-2-22-2-2-22222-2-20000-2-2-22222-2000000000000000000000000000000
χ12622-2-2-2-22-222-22-2-222-2222-2-2-2-2220000-2-2-22222-2000000000000000000000000000000-2-22222-22-2-22-222-2-22-2-2-22222-2-20000222-2-2-2-22000000000000000000000000000000
χ12722-2-2-2-22-222-22-2-222-22-2-22222-2-2000022-22-2-22-2000000000000000000000000000000-2-22222-22-2-22-222-2-22-222-2-2-2-2220000-2-22-222-22000000000000000000000000000000
χ12822-2-2-2-22-222-22-2-222-22-2-22222-2-20000-2-22-222-22000000000000000000000000000000-2-22222-22-2-22-222-2-22-222-2-2-2-222000022-22-2-22-2000000000000000000000000000000
χ1294444-44-4-44-4444-4-4-4-4400000000000000000000000000000000000000000000000000-4-4-4-44-444-44-4-4-44444-400000000000000000000000000000000000000000000000000
χ1304444-4-44-444-4-444-4-44-400000000000000000000000000000000000000000000000000-4-4-4-444-44-4-444-4-444-4400000000000000000000000000000000000000000000000000
χ13144-4-44444444-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000-4-444-4-4-4-4-4-4-4444444400000000000000000000000000000000000000000000000000
χ13244-4-44-4-444-4-44-44-4-44400000000000000000000000000000000000000000000000000-4-444-444-4-444-44-444-4-400000000000000000000000000000000000000000000000000
χ1338-88i−8i00000000000000000000004-44i−4i00000000000000000000000000000000000000-88−8i8i0000000000000000000000-44−4i4i00000000000000000000000000000000000000
χ1348-88i−8i0000000000000000000000-44−4i4i00000000000000000000000000000000000000-88−8i8i00000000000000000000004-44i−4i00000000000000000000000000000000000000
χ1358-8−8i8i00000000000000000000004-4−4i4i00000000000000000000000000000000000000-888i−8i0000000000000000000000-444i−4i00000000000000000000000000000000000000
χ1368-8−8i8i0000000000000000000000-444i−4i00000000000000000000000000000000000000-888i−8i00000000000000000000004-4−4i4i00000000000000000000000000000000000000

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