Finite Group Databasebeta

← Group #11723436

Character table — Group #11723436

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222222244444444444444444444444444444444444444444412121212121212121212121212121212121236363636363654545454
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1
χ6111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111
χ7111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-111-1-1-1-111
χ8111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1-11111-1-1
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χ904-4-44-24-2-2-2002-2-442-22-22-222-4221-211-112-2-11-11-12-1-10000000000−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ914-4-44-2-24-24002-22-2-442-2-44-422-42-2-24-22-22-2-442-222-42000000000000000000000000000000000000000000000000000000
χ924-4-44-2-24-2-2002-22-2-442-22-2222-4211-21-11-112-2-11-1-12-100000000003i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000
χ934-4-44-2-24-2-2002-22-2-442-22-2222-4211-21-11-112-2-11-1-12-10000000000−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000
χ944-4-44-2-2-244002-22-22-2-44-44-4222-4-2-2-242-22-22-2-44222-4000000000000000000000000000000000000000000000000000000
χ954-4-44-2-2-24-2002-22-22-2-442-22222-4111-2-11-11-112-2-1-1-1200000000003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ964-4-44-2-2-24-2002-22-22-2-442-22222-4111-2-11-11-112-2-1-1-120000000000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000

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