Finite Group Databasebeta

← Group #72310589

Character table — Group #72310589

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222222222224444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222244444444444444442244444444444444442222222244444444222222444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-11-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-11-11-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ17111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-111111-1-1-1-11111-1-1-1-11-11-111-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ18111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-111111-1-1-1-11111-1-1-1-11-11-1-1-1111-11-1-11-11-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ19111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1111-1-1-11-111-11-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ20111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-111111-1-1-1-11111-1-1-1-1-11-11-1-111-11-11-11-11-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ21111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-11-1-1-1-11111-1-1-1-111111-11-111-1-11-11-11-11-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ22111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-11-1-1-1-11111-1-1-1-111111-11-1-1-1111-11-1-11-1111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ23111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-11-1111-1-1-11-111-11-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ24111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-111111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-11-11-1-111-11-11-11-1111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1
χ25111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ26111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-11-111-11-1-11-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ27111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-11-1-11-111-11-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ28111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ29111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-111-1-111-1-111-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ30111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ31111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ32111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1-111-111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111
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χ9444-4-4004-4000000-444i−4i00−4i4i4i−4i00−4i4i-44000000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ9544-4-4004-4000000-44−4i4i004i−4i−4i4i004i−4i-440000000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ9644-4-4004-4000000-44−4i4i004i−4i−4i4i004i−4i-44000000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ9744-4-400-440000004-44i−4i00−4i4i−4i4i004i−4i-440000000000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ9844-4-400-440000004-44i−4i00−4i4i−4i4i004i−4i-44000000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ9944-4-400-440000004-4−4i4i004i−4i4i−4i00−4i4i-440000000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ10044-4-400-440000004-4−4i4i004i−4i4i−4i00−4i4i-44000000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ10144-4-400-44000000-444i−4i004i−4i−4i4i00−4i4i4-40000000000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ10244-4-400-44000000-444i−4i004i−4i−4i4i00−4i4i4-4000000000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ10344-4-400-44000000-44−4i4i00−4i4i4i−4i004i−4i4-40000000000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ10444-4-400-44000000-44−4i4i00−4i4i4i−4i004i−4i4-4000000000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1058-88-800008-8000000008-800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800008-800000000-880000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-80000-88000000008-80000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-80000-8800000000-8800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-800008-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-80000-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-8800008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-880000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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