Finite Group Databasebeta

← Group #13172076

Character table — Group #13172076

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order12222233366666666633366666666666666666662222366666666666444422446666666666666666666612121212441212121266666612121212121244441212444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-1111111111111111111-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1111111111111111111-1-111-1-1-1-1-1-1-11-1-111-11-1-111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-111-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-11-1-11111-1-1-1-1111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-11-1-1-1-1111-1-1-1-111111-1-1111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111-111-1-1-11-1-1111-11-1-1-111-1-11-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-11-1-1-1-1111-1-1-1-11111-111-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-11-11-1-111-1-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1111-1-11
χ121111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-111-111-1-111-111-1
χ131111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111-111-1-1-11-1-111-11-11-1-1-1-111-11-11
χ141111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-11-1-1111-111-1-11-11-1-1-1-1-1111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-111-1
χ161111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-11-1-11
χ1722222222-1222-122-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1-1-100000202002222-1-122-1-1-1-1-1-1-1-1-1-100220000000-100-1-10-100-1-1002200000000-1-1
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χ212222222-1222-12-1-1222-12-122-1-122-1-122-1-1-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1-1000020202200-1-122-1-122-1-1-1-1-1-1-1-12200000000-10-1-100-10-1-1002200000000-1-100
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χ25222222-122-1-1222222-1-1-12-1-12222-1-1-1-12222222-1-10000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10000000000000000-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10000-1-100000000
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χ332222-2-22-1222-12-1-1222-12-1-2-211-2-2-1-122-1-1-11111-1222-2-2-111-2-2-1-1-11111000020-202200-1-12211-2-2-1-1-1-11111-2-200000000-10-1-1001011002-200000000-1100
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χ1024-4-44-444-24-4-4-2422-4-44-24-2-442-2-4422-4-422-222-2-2-240000-22-2-4422-222-2-20000000000000000000000000000000000000000000000000000000000000000
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χ1064-4-44-44-24-2224-2-4-422-2-21-22-2-442-222-1-122-222-2-2-21000012-2-11-1-11-1-11100000000002i3−2i3000000000000000000−2i32i30000000000−i3i30000i3−i300000000000000
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χ1084-4-44-44-2-2422-2422-4-4-21-2-22-22-2-44-1-12222-222-2-21-200001-112-2-1-11-1-111000000002i3−2i3000000000000000000−2i32i30000000000−i3i30000i3−i30000000000000000
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χ11188-8-800-48-4-44-848-8-444-42-4000000-442-2-44400004-20000200002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-800-4-48-444-8-448-842-4-40000002-2-44-4440000-240000200002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-800-4-4-4-4444-44-4442220000002-22-22-2-26-66-6-2-20000-10000-111-33-330000000000000000000000000000000000000000000000000000000000000000
χ11488-8-800-4-4-4-4444-44-4442220000002-22-22-2-2-66-66-2-20000-10000-1113-33-30000000000000000000000000000000000000000000000000000000000000000
χ1158-88-800-48-44-4-84-884-44-42-40000004-4-224-4400004-2000020000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-800-4-484-44-84-4-8842-4-4000000-224-44-440000-24000020000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800-4-4-44-4444-44-44222000000-22-22-22-26-6-66-2-20000-100001-11-333-30000000000000000000000000000000000000000000000000000000000000000
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χ1198-8-888-8-4-4-444-4-44444-4222-44-44-44-2-2-2-2-2-2222-2-2220000-12-22-211-1-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-88-4-4-444-4-44444-42224-44-44-4-2-2-2-2-2-22-2-222220000-1-22-2211-111-1-10000000000000000000000000000000000000000000000000000000000000000

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