Finite Group Databasebeta

← Group #72317894

Character table — Group #72317894

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222222244444444444444444444888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222224444222222222222444444222222222222444444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-1111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-1111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1211111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-11-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-11-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-11-1-111-11-111-1-11111111-1-1-1111-1-1-111-1-1-1-1-1-111-1-111-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-11-1-111-11-111-1-1-1-1-1-1111-1-1-1111-1-1-111-1-11111-1-111-1-1111-11-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ191111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-11-1-111-11-1-1-1111111111-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-111-11-111-11-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ201111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-11-1-111-11-1-1-111-1-1-1-1111-1-1-1111-1-1-1-1-111111111-1-111-1-1-11-11-11-11-1-111-1-111-1-111-1-11111-1-111-1-1
χ211111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-11-1-11-11-1111-1-11111-1-1-1111-1-1-111111-1-1-1-1-1-111-1-111-1-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111
χ221111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-11-1-11-11-1111-1-1-1-1-1-1-1-1-1111-1-1-111111-1-11111-1-111-1-1111-11-1-11-11-1-111-1-11111-1-111-1-111-1-111-1-1
χ231111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-11-1-11-11-11-1-1111111-1-1-1111-1-1-1111-1-111-1-1-1-1-1-111-1-111-11-111-11-111-1-111-1-1-1-111-1-11111-1-111-1-1
χ241111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-1-1-1-11-11-1-11-11-11-1-111-1-1-1-1-1-1-1111-1-1-1111-1-111111111-1-111-1-1-11-11-11-1111-1-111-1-111-1-111-1-1-1-111-1-111
χ251111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-1111-1-111-1-1111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-1111-1-1-1-111111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11-1-11-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-11-1-11111-1-1111-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1
χ281111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-11-1-111-1-111111-1-1-1-1-1-111111-1-111-1-111-1-1-1-111-111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ291111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1111-111-111-1-111-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ301111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1111-111-111-1-1-1-111-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-11-1-11-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ311111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1111-111-1-1-11111-1-1-1-1-1111111-1-1-111-1-1-1-111-1-11111-1-1-111-11-1-1111-1-1-1-111-1-11111-1-111-1-1-1-111
χ321111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1111-111-1-1-111-1-111-1-1-1111111-1-1-111-1-111-1-111-1-1-1-111-111-1-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ33222222222222222222222222-2-2222222-2-2-2-2-2-22-22-2-222-222-2-2-2-2-2-2-2-20000222200000000000000002222000000000000-2-2-2-20000000000000000000000000000
χ34222222222222222222222222-2-2222222-2-2-2-2-2-22-22-2-222-222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000-2-2-2-200000000000022220000000000000000000000000000
χ3522222222222222222222-2-222222222-2-222-2-2-2-2-22-222-2-22-2-222-2-2-2-2-2-200000000222200000000000000002222000000000000-2-2-2-2000000000000000000000000
χ3622222222222222222222-2-222222222-2-222-2-2-2-2-22-222-2-22-2-222-2-2-2-2-2-200000000-2-2-2-20000000000000000-2-2-2-20000000000002222000000000000000000000000
χ3722222222222222222222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000002-22-22-22-200000000000000000000000000000000
χ3822222222222222222222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ3922222222-2-2-2-22222222222-2-222-2-2-2-222-2-2-2-2222-22-2-2-2-22-2-222-2-2222-2000022220000000000000000-2-2-2-2000000000000-2-2220000000000000000000000000000
χ4022222222-2-2-2-22222222222-2-222-2-2-2-222-2-2-2-2222-22-2-2-2-22-2-222-2-2222-20000-2-2-2-20000000000000000222200000000000022-2-20000000000000000000000000000
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χ4322222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-22-22222-222-2-2-2-2222-20000000022-2-2000000000000000022-2-2000000000000-2-222000000000000000000000000
χ4422222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-22-22222-222-2-2-2-2222-200000000-2-2220000000000000000-2-22200000000000022-2-2000000000000000000000000
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χ46222222-2-222-2-2-2-2-2-2222-2222-22222-2-222222222-2-2-22-22-2-22-22-22-2-22-2-2-2-2-2-200000000-222-222-222-222000000000000000000000000000000000000000000000000
χ47222222-2-222-2-2-2-2-2-2222-2222-2-2-222-2-222-2-2-2-2-2-2-22-2-222-222-2-22-222-2220000000000000000000000000000000000000000000000002-22-22-22-20000000000000000
χ48222222-2-222-2-2-2-2-2-2222-2222-2-2-222-2-222-2-2-2-2-2-2-22-2-222-222-2-22-222-222000000000000000000000000000000000000000000000000-22-22-22-220000000000000000
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χ52222222-2-222-2-2-2-2-2-2222-2-2-22-2-2-222-2-2-2-2-2-22222222-22-222-22-222-2-22-2-20000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
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χ54222222-2-2-2-222-2-2-2-2222-222-2222-2-22222-2-2-2-222-22-2-22-22-2-222-2-22-22-22000000000000000000000000000000000000000000000000-22-222-22-20000000000000000
χ55222222-2-2-2-222-2-2-2-2222-222-22-2-2-2-222222222-2-2-2-2-22-2-222-22-222-22-22-222-2-2000000002-2-22-2-2-222-222000000000000000000000000000000000000000000000000
χ56222222-2-2-2-222-2-2-2-2222-222-22-2-2-2-222222222-2-2-2-2-22-2-222-22-222-22-22-2-2-22200000000-222-2222-2-22-2-2000000000000000000000000000000000000000000000000
χ57222222-2-2-2-222-2-2-2-2222-2-2-2-2222-2-222-2-2-2-222-2-2222-222-2-22-22-22-22-22-200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ58222222-2-2-2-222-2-2-2-2222-2-2-2-2222-2-222-2-2-2-222-2-2222-222-2-22-22-22-22-22-20000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ59222222-2-2-2-222-2-2-2-2222-2-2-2-22-2-2-2-222-2-222-2-2222-222-22-222-2-22-22-22-22000000000000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ60222222-2-2-2-222-2-2-2-2222-2-2-2-22-2-2-2-222-2-222-2-2222-222-22-222-2-22-22-22-2200000000000000000000000000000000000000000000000000000000-22-222-22-200000000
χ612222-2-22222-2-2-2-2-2-222-22222-222-2-222-2-22222-2-22-2-2-22-22-22-2-22-2-222-22000000000000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ622222-2-22222-2-2-2-2-2-222-22222-222-2-222-2-22222-2-22-2-2-22-22-22-2-22-2-222-2200000000000000000000000000000000000000000000000000000000-222-2-222-200000000
χ632222-2-22222-2-2-2-2-2-222-22222-2-2-2-2-222-2-2-2-2-2-22222-22-2-2222-22-222-2-22-200000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i
χ642222-2-22222-2-2-2-2-2-222-22222-2-2-2-2-222-2-2-2-2-2-22222-22-2-2222-22-222-2-22-20000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ652222-2-22222-2-2-2-2-2-222-22-2-22-222-2-2222222-2-222-2-22-222-2-2-22-2222-2-22-22-22-2000000002-2-2-2222-2-2-222000000000000000000000000000000000000000000000000
χ662222-2-22222-2-2-2-2-2-222-22-2-22-222-2-2222222-2-222-2-22-222-2-2-22-2222-2-22-2-22-2200000000-2222-2-2-2222-2-2000000000000000000000000000000000000000000000000
χ672222-2-22222-2-2-2-2-2-222-22-2-22-2-2-2-2-22222-2-222-2-2-2222-22-22-222-2-2-222-220000000000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ682222-2-22222-2-2-2-2-2-222-22-2-22-2-2-2-2-22222-2-222-2-2-2222-22-22-222-2-2-222-22000000000000000000000000000000000000000000000000-222-2-222-20000000000000000
χ692222-2-222-2-222-2-2-2-222-2222-222222-2-2-2-2-2-2-2-2-2-222-22-22-2-2-22-222222-2-200000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i
χ702222-2-222-2-222-2-2-2-222-2222-222222-2-2-2-2-2-2-2-2-2-222-22-22-2-2-22-222222-2-20000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i
χ712222-2-222-2-222-2-2-2-222-2222-22-2-222-2-2-2-22222222-2-2-222-22-222-2-2-2-2-222000000000000000000000000000000000000000000000000000000002-2-22-222-200000000
χ722222-2-222-2-222-2-2-2-222-2222-22-2-222-2-2-2-22222222-2-2-222-22-222-2-2-2-2-22200000000000000000000000000000000000000000000000000000000-222-22-2-2200000000
χ732222-2-222-2-222-2-2-2-222-22-2-2-222222-2-222-2-22222-2222-2-22-22-2-22-2-2-2-2220000000000000000000000000000000000000000000000002-2-22-222-20000000000000000
χ742222-2-222-2-222-2-2-2-222-22-2-2-222222-2-222-2-22222-2222-2-22-22-2-22-2-2-2-222000000000000000000000000000000000000000000000000-222-22-2-220000000000000000
χ752222-2-222-2-222-2-2-2-222-22-2-2-22-2-222-2-22222-2-2-2-2-2-22-22-2222-22-22222-2-22-2-22000000002-2-2-222-2222-2-2000000000000000000000000000000000000000000000000
χ762222-2-222-2-222-2-2-2-222-22-2-2-22-2-222-2-22222-2-2-2-2-2-22-22-2222-22-22222-2-2-222-200000000-2222-2-22-2-2-222000000000000000000000000000000000000000000000000
χ772222-2-2-2-22222222222-2-2222222-2-2-2-2-2-22222-2-2-222-2-2-2-2222-2-2-22-222-20000000022220000000000000000-2-2-2-2000000000000-22-22000000000000000000000000
χ782222-2-2-2-22222222222-2-2222222-2-2-2-2-2-22222-2-2-222-2-2-2-2222-2-2-22-222-200000000-2-2-2-2000000000000000022220000000000002-22-2000000000000000000000000
χ792222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222-2-2-222222-22-2-22000000000000000000000000000000002-2-222-2-2200000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).