Finite Group Databasebeta

← Group #13172316

Character table — Group #13172316

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-11111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-11-1111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-11111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
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χ111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-1-11-1-1111-1-11111-1-11-11
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χ864-44-400-2444-4-42-22-44-4-2-24000000-220000-224-42-42-200002-22000000000000000000000023−2300000023−2323−2300000000000000000000000000000000
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χ894-44-400-2-244-4-42-222-221-2-20000001-13-33-3-22-2222-110000-11-13-33-30000000000000000−2323−2323003−33−33−33−300000000000000000000000000000000
χ904-44-400-2-244-4-42-222-221-2-20000001-1-33-33-22-2222-110000-11-1-33-33000000000000000023−23−232300−33−333−33−300000000000000000000000000000000
χ914-44-400-2-244-4-42-222-221-2-20000001-1-33-33-22-2222-110000-11-1-33-330000000000000000−232323−23003−33−3−33−3300000000000000000000000000000000
χ924-4-4400444-44-4-4-44-4-44444000000-440000-44-44-4-4-440000-4-44000000000000000000000000000000000000000000000000000000000000000000
χ934-4-440044-22-22-4-44-4-444-2-2000000-4400002-22-222-4-2000022-200000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ944-4-440044-22-22-4-44-4-444-2-2000000-4400002-22-222-4-2000022-2000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ954-4-44004-24-44-4-4-4422-2-24-20000002-20000-442-2-422-2000022-200000000000000000000000023−23000023−23−232300000000000000000000000000000000
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χ974-4-4400-244-44-422-2-4-44-2-240000002-200002-2-442-42-2000022-200000000000000000023−2300000023−23−2323000000000000000000000000000000000000
χ984-4-4400-244-44-422-2-4-44-2-240000002-200002-2-442-42-2000022-2000000000000000000−2323000000−232323−23000000000000000000000000000000000000
χ994-4-4400-2-24-44-422-222-21-2-2000000-113-3-332-22-222-110000-1-113-3-330000000000000023−23000023−23−333−3−333−300000000000000000000000000000000
χ1004-4-4400-2-24-44-422-222-21-2-2000000-113-3-332-22-222-110000-1-113-3-3300000000000000−23230000−23233−3−333−3−3300000000000000000000000000000000
χ1014-4-4400-2-24-44-422-222-21-2-2000000-11-333-32-22-222-110000-1-11-333-30000000000000023−230000−2323−333−33−3−3300000000000000000000000000000000
χ1024-4-4400-2-24-44-422-222-21-2-2000000-11-333-32-22-222-110000-1-11-333-300000000000000−2323000023−233−3−33−333−300000000000000000000000000000000
χ103888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222222222-12222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-422244444422-2-2-2-22222222-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000000
χ10588-8-88-8-4-4-444-4-444-444222-44-44-44-2-222-2-2-2-2-2-2222-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-4-4-444-4-444-4442224-44-44-4-2-2-2-222-2-2-2-2222-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000000000
χ1078-88-8008-4-4-444-88-84-44-4-42000000-440000-442-24-2420000-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-48-4-4444-44-88-8-42-4000000-4400002-2-44-24420000-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-4-4-4-4444-444-442220000002-26-66-62-22-2-2-2-2-100001-11-33-3300000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-4-4-4444-444-442220000002-2-66-662-22-2-2-2-2-100001-113-33-300000000000000000000000000000000000000000000000000000000000000
χ1118-8-88008-4-44-44-8-8844-4-4-420000004-400004-4-224-2420000-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-48-44-4444-4-8-88-42-40000004-40000-224-4-24420000-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-4-44-4444-444-4222000000-226-6-66-22-22-2-2-2-1000011-1-333-300000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-4-44-4444-444-4222000000-22-666-6-22-22-2-2-2-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000000

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