Finite Group Databasebeta

← Group #13172343

Character table — Group #13172343

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order122222333666666666333666666666666666666636666666666622244466666666666666666666121212121212121212121212222444666644446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111111111111111111111111111111111-111-11111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-11-1-1-1-111111-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-1-11111-111-1
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
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χ988888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222-2-2-2-2222-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-8008-4-4-8-444-448-842-4-4000000-2-444-4400002-2420000-22-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-48-448-84-44-44-8-42-400000042-24-440000-44-220000-22-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-800-4-4-44-444-44-444222000000-22-2-22-26-66-62-2-2-100001-11-33-3300000000000000000000000000000000000000000000000000000000
χ10288-8-800-4-4-44-444-44-444222000000-22-2-22-2-66-662-2-2-100001-113-33-300000000000000000000000000000000000000000000000000000000
χ1038-88-8008-4-4-84-444-4-8842-4-4000000-24-444-40000-22420000-2-22000000000000000000000000000000000000000000000000000000000000
χ1048-88-800-48-44-8844-44-4-8-42-40000004-2244-400004-4-220000-2-22000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-4-4-444-444-44-44222000000-2-22-2-226-6-66-22-2-1000011-1-333-300000000000000000000000000000000000000000000000000000000
χ1068-88-800-4-4-444-444-44-44222000000-2-22-2-22-666-6-22-2-1000011-13-3-3300000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-4-4-4-444-44444-4222-44-44-442-2-22-2-222-2-2-2-22-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-4-4-4-444-44444-42224-44-44-42-2-22-2-2-2-222-2-22-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000

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