Finite Group Databasebeta

← Group #72316251

Character table — Group #72316251

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115
size111122222222222244444444444444444444444444444444444448888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222222222224444222222222224444444444444444444444444422222222222244444444444444444444444444444444448888444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-11-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-11-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1
χ91111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-1111-1-111-1-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1
χ101111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-111111-11-1111-1-111-1-1-11-1-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ111111111111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-111-1-111-11-111-1-111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111
χ121111111111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-111-1-111-11-111-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ131111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-111-1-11-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ141111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-111-1-11-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ151111111111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-11-1-1-11111-1-1-1-111111-1-1-1-1-1-111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ161111111111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-11-1-1-11111-1-1-1-111111-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ171111111-1-11111-1-11-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-11-11-11-11-1
χ181111111-1-11111-1-11-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-11-11-11-11
χ191111111-1-11111-1-11-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1111-11-11-1-11-11-11
χ201111111-1-11111-1-11-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-11111-1-1-11-11-111-11-11-1
χ211111111-1-11111-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-11-111-1-11-11
χ221111111-1-11111-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-111-11-1-111-11-1
χ231111111-1-11111-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-11111-111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-11-111-11-1
χ241111111-1-11111-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-11111-111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-11-11-1-11-11
χ251111111-1-11111-1-11-1-1-1-1-111-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-11111-11111-1-111-1-11-11-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-11-111-1-11
χ261111111-1-11111-1-11-1-1-1-1-111-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-11111-11111-1-111-1-11-11-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-111-11-1-111-1
χ271111111-1-11111-1-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111111111-11-1-1-111-1-1111-1111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-111-1-111-1-111-1
χ281111111-1-11111-1-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111111111-11-1-1-111-1-1111-1111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-111-1-111-1-11
χ291111111-1-11111-1-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-111111111-1-1-1-1-1-111111-1111-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-1-111111111-1-1-1-111-1-111-1-1-11-111-1-11-111-1
χ301111111-1-11111-1-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-111111111-1-1-1-1-1-111111-1111-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-1-111111111-1-1-1-1-1-111-1-1111-11-1-111-11-1-11
χ311111111-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111111111-1-1-1-11111111-1-1-1-11111-1-111-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-11-11-1-11
χ321111111-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111111111-1-1-1-11111111-1-1-1-11111-1-111-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1-11-11-111-1
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χ36222222222222-2-2-2-2222-2-2-2-22200-2-2-2-222-2-2-222222222-2-2-2-200-2-2-2-2-22000000000-2-220000002222-2-200000000000000000000000000000000000
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χ9244-4-444400-4-4-40000000-44-444-400-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-44-4-400-444000000000004-4000000-440004i−4i4i−4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-44-4-400-444000000000004-4000000-44000−4i4i−4i4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-44-4-400-44400000000000-440000004-40004i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-4-400-44400000000000-440000004-4000−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000
χ9744-4-4-44-4004-440000000004-4000000-44000004i−4i−4i4i00004i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ9844-4-4-44-4004-440000000004-4000000-4400000−4i4i4i−4i0000−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-4-44-4004-44000000000-440000004-4000004i−4i−4i4i0000−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ10044-4-4-44-4004-44000000000-440000004-400000−4i4i4i−4i00004i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-4-440044-400000004-4000000-44000000000004i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ10244-4-4-4-440044-400000004-4000000-4400000000000−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ10344-4-4-4-440044-40000000-440000004-4000000000004i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ10444-4-4-4-440044-40000000-440000004-400000000000−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ1054-44-40004-400044-4-40000000004-40000000000000000000004-40000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ1064-44-40004-400044-4-40000000004-40000000000000000000004-4000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ1074-44-40004-400044-4-4000000000-44000000000000000000000-440000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ1084-44-40004-400044-4-4000000000-44000000000000000000000-44000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ1094-44-4000-440004-44-40000000004-4000000000000000000000-440000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ1104-44-4000-440004-44-40000000004-4000000000000000000000-44000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ1114-44-4000-440004-44-4000000000-440000000000000000000004-40000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ1124-44-4000-440004-44-4000000000-440000000000000000000004-4000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ1138-88-80008-8000-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8000-88000-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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