Finite Group Databasebeta

← Group #13172690

Character table — Group #13172690

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666233366666666666444444366666666666666622222226666121212121212121212121212444466666666666666121212121212222661212121244662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111-1-111-1-1111111-1-111-1-1-1-1-1-11-11111-1-11111-1-111-11-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-1-1111-1-11111-1-11111-1-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-11-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1111-111111-1-1-1-1-111
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-1111111-1-1-1-111-111-1-111111-1-1
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-111-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1111111-111-1-111-1-11-11
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-111-1-111-1-11-111111-1-111-11-1
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-111-1-1-1-1-1-11111-1
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
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χ904-44-4-2444-422-4-4-4-240-2-24002-2-224-422-4000000-2000000002-22000000000000000000000000000-440000000000000000000000000002-20000000
χ914-4-4444-22-2-44-442-4-404-2-200-4-42-22-2422000000-20000000022-200004-4-4400000000000000000000000-222-2000000000000000000000000000000
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χ1018888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222000000-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222000000-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-48-8-8-44-4484402-4-4002-24444-2-4-40000002000000002-2-200000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-444-44-44-44402224i3−4i32-2-2-2-2-2-222000000-10000−2i32i3−2i32i3-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-444-44-44-4440222−4i34i32-2-2-2-2-2-222000000-100002i3−2i32i3−2i3-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1068-88-88-4-4-44-8-84448-40-4-42004-4-442-244-2000000200000000-22-200000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-48-4-4444-8-84-480-42-4004-42-2-444-24000000200000000-22-200000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-488-84444-8-4-402-4-400-22-44-44-244000000200000000-22-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-4444444-4-4022200-222-22-2-2-2-2000000-1000000001-113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-4444444-4-4022200-222-22-2-2-2-2000000-1000000001-11−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-44-4-884-44-840-4-4200444-4-22-44-2000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-44-44-4-8844-80-42-40044-224-4-4-24000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44-44-44-4444022200-2-2-22-222-2-2000000-1006-6000011-1-33-330000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44-44-44-4444022200-2-2-22-222-2-2000000-100-66000011-13-33-30000000000000000000000000000000000000000000000000000000000000

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