Finite Group Databasebeta

← Group #72315225

Character table — Group #72315225

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151
size11222222244444444448888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232326464646464646464646464646464646464646464646464646464128128128128
order1222222222222222222222222222222222222244444444222222222224444444444444444444444444444444444442244444444444444444444444444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1111111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ911111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ1011111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1111111111111-1-1-1-11111-11-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ1111111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ1211111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1
χ1311111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111111-1-1
χ1411111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-111111111-1-1-1-1-1-111
χ1511111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111111111111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ1611111111111111111111111111111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111
χ171111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-1111111-1-111-1-111-1-11-11-1
χ181111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1111111111111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-11-11
χ191111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-111-1-1111-11-1
χ201111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1111-1-111-1-111-1-11111-1-111-1-1-11-11
χ211111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-11
χ221111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111111111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-11-1
χ231111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-111-1-111-1-1-11-11
χ241111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1111-1-111-1-11111-1-1-1-111-1-1111-11-1
χ251111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-111-111-1
χ261111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-11
χ271111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1
χ281111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-11-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-11
χ291111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-11-1-11
χ301111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1111111-1-111-1-111-1-1-1-111-111-1
χ311111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11
χ321111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-11-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1
χ33222222222222222222222222222-2-222-2-2-2-22-2-2-2-222-2-2-2-2-22-200000000-2-22-20000000022-2-222-2-200000000000000002020-2-20000000000000022-2-200000-20200002-200000000000000000000
χ34222222222222222222222222222-2-222-2-2-2-22-2-2-2-222-2-2-2-2-22-200000000-2-22-20000000022-2-222-2-20000000000000000-20-202200000000000000-2-2220000020-20000-2200000000000000000000
χ35222222222222222222222222222-2-2-2-222-2-22-2-2-2-2-2-222-2-2-2-2200000000-2-2-2200000000-2-222-2-22200000000000000002020-2-200000000000000-2-22200000-2020000-2200000000000000000000
χ36222222222222222222222222222-2-2-2-222-2-22-2-2-2-2-2-222-2-2-2-2200000000-2-2-2200000000-2-222-2-2220000000000000000-20-20220000000000000022-2-20000020-200002-200000000000000000000
χ3722222222222222-2-22-2-22-222-2-2-2-2-2-20000-2-2-2-2-222000022-20022-2-20000220022-2-2000000000000-2-2-2-2222200000000000000002i2i−2i−2i0000000000002i2i−2i−2i00000000000000000000002i−2i2i−2i0000
χ3822222222222222-2-22-2-22-222-2-2-2-2-2-20000-2-2-2-2-222000022-20022-2-20000220022-2-2000000000000-2-2-2-222220000000000000000−2i−2i2i2i000000000000−2i−2i2i2i0000000000000000000000−2i2i−2i2i0000
χ3922222222222222-2-22-2-22-222-2-2-2-2-2-20000-2-2-2-2-222000022-200-2-22200002200-2-2220000000000002222-2-2-2-200000000000000002i2i−2i−2i0000000000002i2i−2i−2i0000000000000000000000−2i2i−2i2i0000
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χ412222222222-2-2-2-22222222-2-2-2-2-2-22222-2-2-2-22-2-2-2-222-2-2-2-22-220000000022-220000000022-2-2-2-22200000000000000002020-2-20000000000000022-2-20000020-20000-2200000000000000000000
χ422222222222-2-2-2-22222222-2-2-2-2-2-22222-2-2-2-22-2-2-2-222-2-2-2-22-220000000022-220000000022-2-2-2-2220000000000000000-20-202200000000000000-2-22200000-20200002-200000000000000000000
χ432222222222-2-2-2-22222222-2-2-2-2-2-222-2-222-2-22-2-2-2-2-2-222-2-222-200000000222-200000000-2-22222-2-200000000000000002020-2-200000000000000-2-2220000020-200002-200000000000000000000
χ442222222222-2-2-2-22222222-2-2-2-2-2-222-2-222-2-22-2-2-2-2-2-222-2-222-200000000222-200000000-2-22222-2-20000000000000000-20-20220000000000000022-2-200000-2020000-2200000000000000000000
χ452222222222-2-2-2-2-2-22-2-22-2-2-22222220000-2-2-2-2-22200002220022220000-2-2002222000000000000-2-2-2-2-2-2-2-200000000000000002i2i−2i−2i000000000000−2i−2i2i2i0000000000000000000000−2i2i2i−2i0000
χ462222222222-2-2-2-2-2-22-2-22-2-2-22222220000-2-2-2-2-22200002220022220000-2-2002222000000000000-2-2-2-2-2-2-2-20000000000000000−2i−2i2i2i0000000000002i2i−2i−2i00000000000000000000002i−2i−2i2i0000
χ472222222222-2-2-2-2-2-22-2-22-2-2-22222220000-2-2-2-2-222000022200-2-2-2-20000-2-200-2-2-2-20000000000002222222200000000000000002i2i−2i−2i000000000000−2i−2i2i2i00000000000000000000002i−2i−2i2i0000
χ482222222222-2-2-2-2-2-22-2-22-2-2-22222220000-2-2-2-2-222000022200-2-2-2-20000-2-200-2-2-2-2000000000000222222220000000000000000−2i−2i2i2i0000000000002i2i−2i−2i0000000000000000000000−2i2i2i−2i0000
χ49222222222-222-2-222-222-2-22-222-2-2222222-2-2-222222222-2-2-222000000002-22200000000-2-2-2-2-2-2-2-20000000000000000000000002-22-20000000000002-22-20000002-200002-20000000000000000
χ50222222222-222-2-222-222-2-22-222-2-2222222-2-2-222222222-2-2-222000000002-22200000000-2-2-2-2-2-2-2-2000000000000000000000000-22-22000000000000-22-22000000-220000-220000000000000000
χ51222222222-222-2-222-222-2-22-222-2-222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2000000002-2-2-200000000222222220000000000000000000000002-22-20000000000002-22-2000000-220000-220000000000000000
χ52222222222-222-2-222-222-2-22-222-2-222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2000000002-2-2-20000000022222222000000000000000000000000-22-22000000000000-22-220000002-200002-20000000000000000
χ53222222222-222-2-222-222-2-22-222-2-2-2-222-2-222-2-2-2-2-222-2-22222-200000000-222-200000000-2-222-2-2220000000000000000020200-2-20000000000000000000020-202-200002-2000000000000000000
χ54222222222-222-2-222-222-2-22-222-2-2-2-222-2-222-2-2-2-2-222-2-22222-200000000-222-200000000-2-222-2-22200000000000000000-20-2002200000000000000000000-2020-220000-22000000000000000000
χ55222222222-222-2-222-222-2-22-222-2-2-2-2-2-22222-2-2-2-2-2-2-222222-2200000000-22-220000000022-2-222-2-20000000000000000020200-2-20000000000000000000020-20-220000-22000000000000000000
χ56222222222-222-2-222-222-2-22-222-2-2-2-2-2-22222-2-2-2-2-2-2-222222-2200000000-22-220000000022-2-222-2-200000000000000000-20-2002200000000000000000000-20202-200002-2000000000000000000
χ57222222222-222-2-2-2-2-2-2-2-222-2-2-222-2-20000222-2-2220000-2-2200000022-2-22-200000022-2-20000000000000000-2-2-2-22222000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000000000002i−2i2i−2i00000000
χ58222222222-222-2-2-2-2-2-2-2-222-2-2-222-2-20000222-2-2220000-2-2200000022-2-22-200000022-2-20000000000000000-2-2-2-2222200000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000000000−2i2i−2i2i00000000
χ59222222222-222-2-2-2-2-2-2-2-222-2-2-222-2-20000222-2-2220000-2-22000000-2-2222-2000000-2-22200000000000000002222-2-2-2-2000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000000000−2i2i−2i2i00000000
χ60222222222-222-2-2-2-2-2-2-2-222-2-2-222-2-20000222-2-2220000-2-22000000-2-2222-2000000-2-22200000000000000002222-2-2-2-200000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000002i−2i2i−2i00000000
χ61222222222-2-2-22222-222-2-2-22-2-2222222-2-222-2-2-2-2-222-2-222-2-22000000002-2-2200000000-2-22222-2-200000000000000000202002200000000000000000000-20-20-2200002-2000000000000000000
χ62222222222-2-2-22222-222-2-2-22-2-2222222-2-222-2-2-2-2-222-2-222-2-22000000002-2-2200000000-2-22222-2-200000000000000000-20-200-2-20000000000000000000020202-20000-22000000000000000000
χ63222222222-2-2-22222-222-2-2-22-2-22222-2-22222-2-2-2-2-2-2-22222-22-2000000002-22-20000000022-2-2-2-22200000000000000000202002200000000000000000000-20-202-20000-22000000000000000000
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Here i is the imaginary unit (i² = −1).