Finite Group Databasebeta

← Group #13172079

Character table — Group #13172079

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111111111111111111111111-111-11111111111111111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-11-1-11
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-111111-1-11-1-1-1-1111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-111-1-1-1-1-111-111-1
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χ111111-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-111111-1-11-1-1-1-1111-1-1-1-1-11-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111
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χ954-4-44-444-24-4-4-2-4-422444-2-2-442-2-4442222-222-2-2-4-4-20000-2-442-222-222-2-20000000000000000000000000000000000000000000000000000000000
χ964-4-44-444-2-2-4-4-22222-24-2-21-442-22-2-222-1-11-1-11122-2000012-22-2-1-11-1-1110000000000003-3-33-333-300000000000000000000000000000000000000
χ974-4-44-444-2-2-4-4-22222-24-2-21-442-22-2-222-1-11-1-11122-2000012-22-2-1-11-1-111000000000000-333-33-3-3300000000000000000000000000000000000000
χ984-4-44-44-244224-4-4-4-44-2-2-242-2-44-44-222-4-44-4-44422-20000-22-22-222-222-2-20000000000000000000000000000000000000000000000000000000000
χ994-4-44-44-24-222422-4-4-2-21-2-22-2-442-212222-222-2-2-1-1-200001-112-2-1-11-1-1110000000000000000000000000000000000003i−3i−3i3i000000000000000000
χ1004-4-44-44-24-222422-4-4-2-21-2-22-2-442-212222-222-2-2-1-1-200001-112-2-1-11-1-111000000000000000000000000000000000000−3i3i3i−3i000000000000000000
χ1014-4-44-44-2-2422-2-4-4224-2-21-22-22-2-44-2-1-122-222-2-2221000012-2-11-1-11-1-111000000000000000000000000003-3000000-330000000000000000000000
χ1024-4-44-44-2-2422-2-4-4224-2-21-22-22-2-44-2-1-122-222-2-2221000012-2-11-1-11-1-11100000000000000000000000000-330000003-30000000000000000000000
χ103888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-422222222222220000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222-2-2-2-22220000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10588-8-800-48-4-44-8-448-8442-4-4000000-2-44-44400002-240000200002-2-200000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-4-48-4448-8-44-84-42-400000042-2-4440000-44-20000200002-2-200000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-4-444-44-4444222000000-22-22-2-26-66-62-2-20000-10000-111-33-330000000000000000000000000000000000000000000000000000000000
χ10888-8-800-4-4-4-444-44-4444222000000-22-22-2-2-66-662-2-20000-10000-1113-33-30000000000000000000000000000000000000000000000000000000000
χ1098-88-800-48-44-4-84-4-88442-4-4000000-24-44-440000-224000020000-22-200000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-484-44-884-4-84-42-40000004-224-4400004-4-2000020000-22-200000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-4-44-444-44-444222000000-2-22-22-26-6-66-22-20000-100001-11-333-30000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-44-444-44-444222000000-2-22-22-2-666-6-22-20000-100001-113-3-330000000000000000000000000000000000000000000000000000000000
χ1138-8-888-8-4-4-444-44444-4-4222-44-44-442-2-2-2-2222-2-2-2-220000-12-22-211-1-1-1110000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-4-4-444-44444-4-42224-44-44-42-2-2-2-22-2-222-2-220000-1-22-2211-111-1-10000000000000000000000000000000000000000000000000000000000

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