Finite Group Databasebeta

← Group #13172876

Character table — Group #13172876

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order122233366666666623336666666662244443666666666666666644466661212121212121212444444661212121212121212121212121212121244442221212121212126664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111111111111111111-1111111-1-111-1-111-1-1-1-111111-11-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-111111111111111111111-111111-1-111-1-111-1-111-1-11111-11-1111-1-1-1-11111-1-1-1-1-11-1-1-111-1-1-1-11-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1111-1-11
χ511111111111111111111111111111-1-1111111111111111111111-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-11-1-1-1-1111-1-1-1
χ611111111111111111111111111111-1-111-1-111111111111111111-11-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-11-1-1-111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111111-1-111-1-1-1-1-11-11
χ811111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ91111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111-11111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-111-1-1-11-11-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-11-111
χ111111111111111111-111111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11111-1-111-1-111-1-111-1-111-1-11-11-1-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-111-11
χ121111111111111111-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111111111-1-1-1-1-111-111-1
χ131111111111111111-1111111111111-1-111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-111-1111
χ141111111111111111-1111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-111-1-111-1-1-1-111-1-1-1-111-11-111111-1-1-1-11111111-11-1-111-1-111-1-1
χ151111111111111111-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-11-111-1-11111-1-11111-11111-1-1-1-11-11-1
χ161111111111111111-1111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-12-1222-12-1222-1-12-1-1-122-1-1-1220022-122-122-1-1-1-1-1-1-1-1-1-1-120222-1-1002200-1-1002200-1-12-10-102-1-10000-1-1-1-1000002000-1-10000-10
χ18222222-12-1222-12-1222-1-12-1-1-122-1-1-12200-2-2-122-122-1-1-1-1-1-1-1-1-1-1-120-222-1-100-2-2001100-2-200-1-12-1010-2-1-10000111100000-200011000010
χ19222222-12-1222-12-1222-1-12-1-1-122-1-1-1-2-20022-122-122-1-1-1-1-1-1-1-1-1-1-1-202-2-211002200-1-100-2-20011-210-102110000-1-1-1-100000-200011000010
χ20222222-12-1222-12-1222-1-12-1-1-122-1-1-1-2-200-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-20-2-2-21100-2-2001100220011-21010-21100001111000002000-1-10000-10
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χ24222222-12-1222-12-12-22-1-12-1-1-122-1-1-1-2-200-2-2-1-2-21-2-21111-1-1-11111202-2-21100-2-20011002200112-10-102-1-1000011-1-100000-2000-1-1000010
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χ4122-2-22222-22-2-2-2-22-202222-22-2-2-22-2-2002i−2i0020000000002-2-2000000000002i−2i002i−2i00002-20000000000002i−2i0000002i2i−2i−2i000002-2000000
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χ9888-8-8-48-484-44-84-8-440-42-4-4-2-44442-2400000020000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-4-44-44444-4402222-22-2-2-22-2-2000000-10006-60000-111-3-33300000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44-44444-4402222-22-2-2-22-2-2000000-1000-660000-11133-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-44-4-8844-44-80-4-424-4-22-4444-20000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48484-44-8-4-8402-4-4-2-44-42-24440000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44-44-444-4440222-22-222-2-2-2-2000000-1000006-6001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44-444-4440222-22-222-2-2-2-2000000-100000-66001-113-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4-84448-4-84-40-42-44-2444-4-22-40000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-844-484-8-402-4-4-2444-224-4-40000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-4-444-40222-2-2-2-2-22-222000000-100000006-611-1-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-4-444-40222-2-2-2-2-22-222000000-10000000-6611-13-3-3300000000000000000000000000000000000000000000000000000000

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