Finite Group Databasebeta

← Group #13172118

Character table — Group #13172118

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
order1222223336666666663336666666666666666666444436666666666624441212121212121212121212121212121222226666121212121212121212121212444424446666446121212
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
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-111-1-1-1-1-111-1-11111-11-1111-1-1-1-1-11-11
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1111111-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-11-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11-1-111111-1-11111111-11-111-1-1-1-11-11-1
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11111-111-1-1-1-1-111-1-1-1-1-1-11-11-111-1-1111-11-1
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-11-11-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-111-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-111-1-1-1-1111-1-111111-1-1111111-1-1-1-111-1-111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-11-1111-1-111-11-11
χ1722222222-122-1-1-122222-1-12222-1-122-12222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022222-1-1-1-12-12-12-1-1-1-1-1-100000000-1-1-1-1000000
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χ27222222-12222222-1-1-12-12-1-1-12222-1-12-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-120021111-2-2-2-2111111110000-12-1-120000-1-1-1000000000-2-200000000110
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χ332222-2-22-12-1-1222222-1-1-12-2-211-2-2-1-1-1111122-1-12-122-2-2-111-2-2-1-1-1111102-2022-2-2-1-111-1-1-1-11111000000000-121-2000-1-1110000-2002000000100-1
χ342222-2-22-12-1-1222222-1-1-12-2-211-2-2-1-1-1111122-1-12-122-2-2-111-2-2-1-1-111110-22022-2-2-1-111-1-1-1-111110000000001-2-1200011-1-10000200-2000000-1001
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χ372222-2-2-12222222-1-1-12-12-111-2-2-2-2-1-121111-1-122-1-122-2-2-1-2-211-1-1-11111200-2-1-11122-2-2-1-1-1-111110000-12-1-1-200001110000000002-200000000-110
χ382222-2-2-12222222-1-1-12-12-111-2-2-2-2-1-121111-1-122-1-122-2-2-1-2-211-1-1-11111-2002-1-11122-2-2-1-1-1-1111100001-21120000-1-1-1000000000-22000000001-10
χ392222-2-2-12222222-1-1-12-12-111-2-2-2-2-1-121111-1-122-1-1-2-222-1-2-211-1-1-11111200-211-1-1-2-2221111-1-1-1-10000-12-1-1-20000111000000000-22000000001-10
χ402222-2-2-12222222-1-1-12-12-111-2-2-2-2-1-121111-1-122-1-1-2-222-1-2-211-1-1-11111-200211-1-1-2-2221111-1-1-1-100001-21120000-1-1-10000000002-200000000-110
χ4122-2-2002222-22-2-22-2-2-22220000002-2-200002-22-2-2-2002i−2i200002-2-200000000002i−2i002i−2i00002i2i−2i−2i002-200000000000000002i2i−2i−2i0000002-2000000
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χ924-4-444-4-2-2422-4-4422-2-21-2-2-22-224-4-1-1-211-1-12222-2100001-22-22-1-1111-1-10000000000003-3-333-3-3300000000000000000000000000000000000000
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χ964-4-44-444-2-22222-2-4-44-2-21-2-442-22-222122-2-222-1-1-2-200001-112-2-1-11-1-1110000000000000000000000000000000000003i−3i−3i3i000000000000000000
χ974-4-44-444-2-22222-2-4-44-2-21-2-442-22-222122-2-222-1-1-2-200001-112-2-1-11-1-111000000000000000000000000000000000000−3i3i3i−3i000000000000000000
χ984-4-44-44-244-4-4-4-4422-24-24-22-2-44-4422422-2-222-4-4-2-20000-2-442-222-222-2-20000000000000000000000000000000000000000000000000000000000
χ994-4-44-44-24-2-4-422-222-24-2-212-2-442-222-222-2-2-1-1221-2000012-2-11-1-11-1-111000000000000000000000000003-3000000-330000000000000000000000
χ1004-4-44-44-24-2-4-422-222-24-2-212-2-442-222-222-2-2-1-1221-2000012-2-11-1-11-1-11100000000000000000000000000-330000003-30000000000000000000000
χ1014-4-44-44-2-2422-4-4422-2-21-2-22-22-2-44-1-1-2-1-1112222-21000012-22-2-1-11-1-1110000000000003-3-33-333-300000000000000000000000000000000000000
χ1024-4-44-44-2-2422-4-4422-2-21-2-22-22-2-44-1-1-2-1-1112222-21000012-22-2-1-11-1-111000000000000-333-33-3-3300000000000000000000000000000000000000
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
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222-2-2-2-22222220000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10588-8-8008-4-4-44-4448-8-84-42-4000000-44-20000-442-2440000200002-2-200000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-48-48-8-444-444-8-4-42000000-44400002-2-44-240000200002-2-200000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-4-44-444-44442220000002-2-26-66-62-22-2-2-20000-10000-111-33-330000000000000000000000000000000000000000000000000000000000
χ10888-8-800-4-4-4-44-444-44442220000002-2-2-66-662-22-2-2-20000-10000-1113-33-30000000000000000000000000000000000000000000000000000000000
χ1098-88-8008-4-44-44-44-88-84-42-40000004-4-200004-4-2244000020000-22-200000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-48-4-884-444-44-8-4-420000004-440000-224-4-24000020000-22-200000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-4-44-44-444-444222000000-22-26-6-66-22-22-2-20000-100001-11-333-30000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-44-44-444-444222000000-22-2-666-6-22-22-2-20000-100001-113-3-330000000000000000000000000000000000000000000000000000000000
χ1138-8-888-8-4-4-44444-444-4-4222-44-44-44-2-2222-2-2-2-2-2-2220000-12-22-211-1-1-1110000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-4-4-44444-444-4-42224-44-44-4-2-22-2-222-2-2-2-2220000-1-22-2211-111-1-10000000000000000000000000000000000000000000000000000000000

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