Finite Group Databasebeta

← Group #13172342

Character table — Group #13172342

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444448888888888881212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636365454545472727272
order1222223336666666663336666666666666666666366666666666222244666666666666666666666666121212121212121244444412121212444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-111111111111111111-11-111-1-11-11-111-1-11-1-1-11-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111-11-111111111111111111-11-11-1-111-11-11-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-1-11-1-1-11-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-1111-1-1-11-1-1-1-1-1111111-1-1
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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χ111111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-111-11111-1-1-1-11111-1-1-1-1-11-11-1-1111-11-111-1-1-1-1-1111-1-111-1-111-111-1
χ121111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-111-1-111-1-1-11-11
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χ964-4-4400-244-2-4-42-44-442-2-240000002-22-2-4-44000022-2000022-200000000000000000000000000000000000000000000000000−232300000000
χ97888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222222222-12222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-8-8-4-4-4-4-4-4-4-4-4-4-4-42224444442222222-2-2-2-222-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-8-4-4-44-4-4-444444222-44-44-44-2-2-2-22-2-222-2-222-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000
χ10088-8-8-88-4-4-44-4-4-4444442224-44-44-4-2-2-2-22-2-2-2-22222-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000
χ1018-88-800-48-44-8448-8-44-4-42-4000000-442-24-4400004-220000-22-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4844-84-448-8-42-4-40000002-2-444-440000-2420000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-800-4-4-44444-44-44-42220000002-22-2-22-26-66-6-2-2-100001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-800-4-4-44444-44-44-42220000002-22-2-22-2-66-66-2-2-100001-113-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-8800-48-4-4-844-884-44-42-40000004-4-2244-400004-220000-2-22000000000000000000000000000000000000000000000000000000000000
χ1068-8-8800-4-48-44-844-4-8842-4-4000000-224-444-40000-2420000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-8800-4-4-4-44444-44-44222000000-22-22-2-226-6-66-2-2-1000011-1-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-8800-4-4-4-44444-44-44222000000-22-22-2-22-666-6-2-2-1000011-13-3-3300000000000000000000000000000000000000000000000000000000

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