Finite Group Databasebeta

← Group #72219794

Character table — Group #72219794

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222224444444444444444888888888888888888161616161616161616161616161616161616161616162424242424242424363636363636484848484848484848484848484848484848484872144144
order1223344663446666688881212121212121212121212121212242424242424242424666666661212121212121212242424242244888824448866121216161616242424244848484848484848824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-11111-111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111-1-1
χ91111111111-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111-11-1-1-1-1-111-1-111-1-11-11
χ101111111111-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111-111111111-1-1-1-1-1-1-1-111-1-11-11-1-1-111-1-111111-11-11-1-11-1-11111-1-1-1-111-11-1
χ111111111111-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111-111111111-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-11111-11-11-111-111-1-1-1-11111-1-1-11-1
χ121111111111-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-111-1-1111-11
χ131111111111-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-11111-11-11-1-1-1-1-1-111-1-11111-1
χ141111111111-1-111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-11111111111-1-11-11-1-1-111-1-111111-11-1-111-1-1-111-1-11111-1-1-1-11
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χ8744-4-2-24-4-2-21−4i4i122-1-1−4i4i4-4-2-2222i−2i2i−2i−i−iii1-12i−2i2i−2i-22-220000−2i32i3i3i3−i3−i300−232333−3−31-1−ii0000000000000000000000000000000000000
χ8844-4-2-24-4-2-21−4i4i122-1-1−4i4i4-4-2-2222i−2i2i−2i−i−iii1-12i−2i2i−2i-22-2200002i3−2i3−i3−i3i3i30023−23−3−3331-1−ii0000000000000000000000000000000000000
χ898888-4-8-88-4-400-48-4-4-40000-84-8400000000440000000000000000000000000000000000000000000000000000000000000000000
χ90888-48-8-8-48-400-4-48-4-400004-84-800000000440000000000000000000000000000000000000000000000000000000000000000000
χ91888-4-4-8-8-4-42002-4-4220000444400006-66-6-2-20000000000000000000000000000000000000000000000000000000000000000000
χ92888-4-4-8-8-4-42002-4-422000044440000-66-66-2-20000000000000000000000000000000000000000000000000000000000000000000
χ9388-88-4-888-4-400-4-84440000-848-4000000004-40000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-48-88-48-400-44-84400004-8-48000000004-40000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-4-4-88-4-4200244-2-2000044-4-400006i−6i−6i6i-220000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-4-4-88-4-4200244-2-2000044-4-40000−6i6i6i−6i-220000000000000000000000000000000000000000000000000000000000000000000
χ978-808800-8-8800-8000000000000000000000000000000000000000000000000000000000000004-40000000000000000000000000
χ988-808800-8-8800-800000000000000000000000000000000000000000000000000000000000000-440000000000000000000000000
χ9916-16016-800-168-800800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10016-160-816008-16-800800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-160-8-80088400-40012-120000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160-8-80088400-400-12120000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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