Finite Group Databasebeta

← Group #13172716

Character table — Group #13172716

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666623336666666666666666622366666666666624444666666666666666612121212221212121212121212121212121212224446622661212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-1111111111111111111-1-1-1-1111-1-1-11111-1-1-1-11-11-1-1-1-1-1-11-11-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-111111111111111111-1-111-1-1-1-1-1111-1-1-1-11111-11-11-1-1-1-1-1-11-11-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111111111111111111111111111111111-1-11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-11111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-11111-1-1-1-1-11-11-1-1-111-11-11-11
χ71111111111111111111111111111111111111-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-111111-11-1-1-1-1111-11-1-11
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
χ91111111111111111-1111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-111-1-111-1-1-1-111-11111-1-111-1-1
χ101111111111111111-1111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1111-1-1-1-111-111-11-1-1-1-1-111-111
χ111111111111111111-1111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-11-1-111-1-1-1-11-1-1111
χ121111111111111111-1111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-11-1-11-1-111-1-11111-1-1-1111111-1-1-1-1
χ131111111111111111-1111-1-1-1-111111-1-1-1-11111-1-11-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-111-1-111-1-111-1-1-111-1-111-1-1-11
χ141111111111111111-1111-1-1-1-111111-1-1-1-11111-1-11-1-1-1-1-1111-1-1-1-111-1-11-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1111-1-1-1-1111-1-111-1-1111-1-111-1
χ151111111111111111-1111-1-1-1-111111-1-1-1-11111-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111-1-1-11111-1-1-111-11-1-111-111-11-1
χ161111111111111111-1111-1-1-1-111111-1-1-1-11111-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111111111-1-11-1-11-1-111-1-111-1-111-111-1-1-1-111-11
χ17222222-12222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-122-1222-1-1-1-1-1-1-1-1-12020222-1-122-1-1-1-1-1-1-1-1-1-10022000002-1-10000-1-1-1-10202000000-10-100
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χ934-4-444-2-2-4-4-22-222240-2-210000221-1-1-333-3-22-224-41000001-1-1-333-300000-22-22000011-1-1-333-300000000000000000000000000000000000
χ944-4-444-2-2-4-4-22-222240-2-210000221-1-1-333-3-22-22-441000001-1-1-333-3000002-22-20000-1-1113-3-3300000000000000000000000000000000000
χ954-4-44-244224-44-4-4-4-20-2-240000224-4-40000-22-2200-200000-222000000000000000000000000000004-40000000000000000000-2200000000
χ964-4-44-244224-44-4-4-4-20-2-240000224-4-40000-22-2200-200000-22200000000000000000000000000000-4400000000000000000002-200000000
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
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-8222444422222-2-2-2-2222200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-48-444-4-8-848402-4-40000-2-44-440000-224400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-444-4444-44022200−4i34i3-22-22-22i32i3−2i3−2i3-22-2-200-10002i3−2i31-11−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-444-4444-440222004i3−4i3-22-22-2−2i3−2i32i32i3-22-2-200-1000−2i32i31-11i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-44-4-8-84-48440-42-40000-4-244-4000044-2200200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44-4444-4-4440222−4i34i3002-2-2-222i3−2i32i3−2i3-2-2-2200-102i3−2i30011-1−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-4444-4-44402224i3−4i3002-2-2-22−2i32i3−2i32i3-2-2-2200-10−2i32i30011-1i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4448-8-44-84-40-42-400004-2-4440000-442-2002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844-448-84-8-402-4-40000-24-44400002-2-44002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-44-4444-402220000-2-22-2-26-6-662-22-200-100000-111-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-44-4444-402220000-2-22-2-2-666-62-22-200-100000-1113-3-3300000000000000000000000000000000000000000000000000000000

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