Finite Group Databasebeta

← Group #13161087

Character table — Group #13161087

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444448888888888888888888888888888888888812121212121212121212121212121212121212122424242424242424363636363636363654547272108216
order122233333446666666666666663333666666666666121212121212121212122666666666666666666666666661212121212121212448824242424242424242424242424242424121212121212121244882424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000002200-20
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-20020
χ1122222222-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-100-1-100
χ1222222222-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-21111001100
χ1322222222-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000022-2-2111100-1-100
χ1422222222-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000-2-222-1-1-1-1001100
χ1522222-1-1-122222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ1622222-1-1-122222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-211111100000000000000
χ1722222-1-1-122222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-122-2-2-2-2-2-211111111111122-1-1-1-1-1-100000000000000
χ1822222-1-1-122222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111100000000000000
χ192222-12-1-1222-1-122-1-1-1-122-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000000000
χ202222-12-1-1222-1-122-1-1-1-122-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-21111111111-2-2111100000000000000
χ212222-12-1-1222-1-122-1-1-1-122-12-1-12-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12-211-2-21111-2-21111-2-2-2-211111111-1-122-1-1-1-122-2-21111-2-2-2-211111111-1-122-1-1-1-100000000000000
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χ242222-1-12-1222-1-1-1-122-1-122-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-2-2-2-211111111-2-2-2-211111111-2-21100000000000000
χ252222-1-12-1222-1-1-1-122-1-122-1-12-12-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-21111-2-211-2-211111111-2-2-2-21111-1-1-1-122-1-122-2-211111111-2-2-2-21111-1-1-1-122-1-100000000000000
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χ282222-1-1-12222-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2111111111111-2-2-2-2111111-2-200000000000000
χ292222-1-1-12222-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-2111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-12222-2-2111111111111-2-2-2-2-1-1-1-1-1-12200000000000000
χ302222-1-1-12222-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-2111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-122-2-222-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-200000000000000
χ312-22-222222002-22-22-22-2-2-2-2-2-2-2222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000002−222−2−22i−2i0000
χ322-22-222222002-22-22-22-2-2-2-2-2-2-2222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000−22−2−222−2i2i0000
χ332-22-222222002-22-22-22-2-2-2-2-2-2-2222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000002−222−2−2−2i2i0000
χ342-22-222222002-22-22-22-2-2-2-2-2-2-2222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000−22−2−2222i−2i0000
χ352-2-22222222-2-2-2-2-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-20000000000000000000000000002-22-22-22-200000000000000000000000000002i−2i000000002i−2i00
χ362-2-22222222-2-2-2-2-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-20000000000000000000000000002-22-22-22-20000000000000000000000000000−2i2i00000000−2i2i00
χ372-2-2222222-22-2-2-2-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-22222-2-2-2-2-222222000000000000000000000000000-22-22-22-222-20000000000000000002-22-22-22-200000000000000
χ382-2-2222222-22-2-2-2-2-2-2-2-2-222222-22222-2-2-2-2-2-2-2-22222-2-2-2-2-222222000000000000000000000000000-22-22-22-22-22000000000000000000-22-22-22-2200000000000000
χ392-2-222222-12-2-2-2-2-2-2-2-2-21-122221-1-1-1-111111111-1-1-1-1-12222-2-2-2-21000000000−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-11-11-11-1100000000000000000000000000002i−2i003−33−300−ii00
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χ422-2-222222-12-2-2-2-2-2-2-2-2-21-122221-1-1-1-111111111-1-1-1-1-12222-2-2-2-21000000000i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-11-11-11-110000000000000000000000000000−2i2i003−33−300i−i00
χ432-2-222-1-1-12-22-2-2111111-222-1-1-1-22-1-1-1-2-21111112-1-1-1-2-21112-1-1-12000−i3i3−i3i3−i3i3000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-221-11-11-12-2000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-11-11-1100000000000000
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χ582-2-22-1-1-122-22111111-2-2-22-1-1-12-2-1-1-12111111-2-2-1-1-12-2111-2-1-1-1220i3−i3i3−i3−i3i30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300001-11-11-1-22-2200−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300001-11-11-1-2200000000000000
χ5944444444-2-4-444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-4-4-4-4-4-4-4-4200000000000000000000000000022222222000000000000000000000000000000000000000000
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χ1298-88-8-4-4-48-400-44-44-448-844444-8-4222-42-22-22-2-44-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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