Finite Group Databasebeta

← Group #13172077

Character table — Group #13172077

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order1222333666666666233366666666666666666223666666666666222446666666666666666661212446666666121212121212124444412124412121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-1111111111111111111-1-1-1-1-11-111-1-11-1111-1-11-11-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-11-1-1111111111111111111-1-11-11-1-111-11-1-1-111-11-11-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111111111111111111111111111111111-1-11111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-11111111111111-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1111-1-1-11-11-1-1-111-1-111-11
χ71111111111111111111111111111111111111-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-111-11-1-1-1111-11-1-1-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111-1111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-11-1-1-1-11-11-111
χ101111111111111111-1111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-11111-11-111-1-1-11-1-1-1111-1-11-111111-1-11-1-1
χ111111111111111111-1111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1-1111-1111-1-1-111-1-11111-111-1-1-1
χ121111111111111111-1111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1-11-1111
χ131111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-111-11-111-1
χ141111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111111-11-111-1-1-11-1-1-111-111-1-111-1-1-111-1-11
χ151111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1-1111-1111-1-11-1-11-111-1-11-1-11-11
χ161111111111111111-1111-1-1-1-11111111-1-1-1-111-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111-11-11-1
χ17222222-122-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-12-122-1222-1-1-1-1-1-1-1-1-1202020022-1-122-1-1-1-1-1-1-1-1-1-1220020-100-1-10-1000-1-102020000000-1-100
χ18222222-122-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-12-122-1222-1-1-1-1-1-1-1-1-120-20-20022-1-122-1-1-1-1-1-1-1-1-1-1-2-200-201001101000110-20-200000001100
χ19222222-122-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-12-1-2-2-1222-1-1-1-1-1-1-1-1-1-2020200-2-211-2-21111111111220020-100-1-10-1000-1-10-20-200000001100
χ20222222-122-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-12-1-2-2-1222-1-1-1-1-1-1-1-1-1-20-20-200-2-211-2-21111111111-2-200-2010011010001102020000000-1-100
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χ23222222-122-122-1-122-22-1-1-2-21122-1-1-1-1-111112-1-2-2-1-2-2-211-1-1-111112020-200-2-21122-1-11111-1-1-1-1-2-20020-100-1-101000110-20200000001-100
χ24222222-122-122-1-122-22-1-1-2-21122-1-1-1-1-111112-1-2-2-1-2-2-211-1-1-1111120-20200-2-21122-1-11111-1-1-1-12200-20100110-1000-1-1020-20000000-1100
χ2522222-122-12-1-122222-12-1-1-122-1-122-1-1-1-1-1-1-1-1222-12-1-122-1-1-1-1-1-1-12202022-1-122-1-122-1-1-1-1-1-1-1-100000-10-1-100-102-1-100202000000-1-10000
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χ2722222-122-12-1-122222-12-1-1-122-1-122-1-1-1-1-1-1-1-12-2-2-12-1-122-1-1-1-1-1-1-1-220202211-2-211-2-21111111100000-10-1-100-102-1-100-20-2000000110000
χ2822222-122-12-1-122222-12-1-1-122-1-122-1-1-1-1-1-1-1-12-2-2-12-1-122-1-1-1-1-1-1-1-2-20-20-2-211-2-211-2-2111111110000010110010-21100202000000-1-10000
χ2922222-122-12-1-12222-2-12-111-2-2-1-122-1-1-11111-1222-1-211-2-2-1-1-11111-220-2022-1-12211-2-2-1-1-1-1111100000-10-1-10010-2110020-2000000-110000
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χ914-4-44-2442-44-44-4-42-20-2-2400002-222-4-4400002-200-20000022-2000000000000000000000000000−2i32i300000000000000−2i32i3000000000000000
χ924-4-44-2442-44-44-4-42-20-2-2400002-222-4-4400002-200-20000022-20000000000000000000000000002i3−2i3000000000000002i3−2i3000000000000000
χ934-4-44-24-22-4-2-44222-20-21-200−2i32i32-2-1-122-2−2i32i32i3−2i321001000i3−i3-1-11i3−i3−i3i300000000000000000000000−2i32i300000003-300000i3−i3000000000000000
χ944-4-44-24-22-4-2-44222-20-21-200−2i32i32-2-1-122-2−2i32i32i3−2i321001000i3−i3-1-11i3−i3−i3i3000000000000000000000002i3−2i30000000-3300000−i3i3000000000000000
χ954-4-44-24-22-4-2-44222-20-21-2002i3−2i32-2-1-122-22i3−2i3−2i32i321001000−i3i3-1-11−i3i3i3−i300000000000000000000000−2i32i30000000-3300000i3−i3000000000000000
χ964-4-44-24-22-4-2-44222-20-21-2002i3−2i32-2-1-122-22i3−2i3−2i32i321001000−i3i3-1-11−i3i3i3−i3000000000000000000000002i3−2i300000003-300000−i3i3000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-4222222222222200-1-42222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-822244442222222-2-2-2-22200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-48-4-4-848-8-44440-42-40000-442-2-44400004-2002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-44-8-448-84402-4-400002-2-44-4440000-24002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-444-44-4444022200002-22-22-2-266-6-6-2-200-100000-111-3-33300000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-444-44-4444022200002-22-22-2-2-6-666-2-200-100000-11133-3-300000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4484-8-84-4-440-42-4000044-224-440000-4-200200000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44444-4-440222−4i34i300-2-2-22-22-22i3−2i32i3−2i32-200-102i3−2i3001-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44-44444-4-4402224i3−4i300-2-2-22-22-2−2i32i3−2i32i32-200-10−2i32i3001-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484484-4-8-84-402-4-40000-224444-40000-2-400200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-44-4444-4022200−4i34i3-22-2-2-2-222i3−2i3−2i32i3-2200-10002i3−2i311-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-44-4444-40222004i3−4i3-22-2-2-2-22−2i32i32i3−2i3-2200-1000−2i32i311-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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