Finite Group Databasebeta

← Group #13161116

Character table — Group #13161116

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444448888888888888888888888888888888888812121212121212121212121212121212121212122424242424242424363636363636363654547272108216
order1222333334466666666666666633336666666666661212121212121212121226666666666666666666666666612121212121212122288242424242424242424242424242424246666666644882424242444121224
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
χ11222222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ12222222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-211111100000000000000
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χ1622222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-21111111111-2-2111100000000000000
χ1722222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-2-2-211-2-211111111-2-2-2-211111111-1-122-1-1-1-122-2-21111-2-2-2-211111111-1-122-1-1-1-100000000000000
χ1822222-12-1-12222-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-2-2-211-2-211111111-2-2-2-211111111-1-122-1-1-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111100000000000000
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χ282222-1222222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-21111001100
χ292222-1222222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000022-2-2111100-1-100
χ302222-1222222-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000-2-222-1-1-1-1001100
χ3122-2-222222002-22-22-22-22-2-2-2-2-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000002−222−2−222−2−222−2−222−2−20000000000−i2i2−i2−i2i2i22i−2i0000
χ3222-2-222222002-22-22-22-22-2-2-2-2-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000002−222−2−222−2−222−2−222−2−20000000000i2−i2i2i2−i2−i2−2i2i0000
χ3322-2-222222002-22-22-22-22-2-2-2-2-2-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000−22−2−222−2−222−2−222−2−2220000000000−i2i2−i2−i2i2i2−2i2i0000
χ3422-2-222222002-22-22-22-22-2-2-2-2-2-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000−22−2−222−2−222−2−222−2−2220000000000i2−i2i2i2−i2−i22i−2i0000
χ352-22-2222222-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000000000000000000002-22-22-22-22-20000000000000000002-22-22-22-200000000000000
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χ382-22-222222-22-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-22000000000000000000000000000-22-22-22-220000000000000000000000000000-2200000000-2200
χ392-22-222-1-1-12-2-2-2-2-21111112-1-1-122-1-1-1-2-21111112-1-1-1-211122-1-1-1-200000−i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-2-11-11-112-2000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-11-11-1100000000000000
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χ432-22-22-12-1-12-2-2-211-2-21111-12-1-12-12-1-111-2-21111-12-1-11-2112-12-1-1-2000−i3i300−i3i3i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-112-2-11-112-200−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-112-2-11-1100000000000000
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χ582-22-2-12222-2211-2-2-2-2-2-2-2-22222-1-1-1-1-111111111-1-1-1-122221-2-2-2-2-10i3−i300000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31-11-11-11-10000000000000000000000000000-2200−i3i3−i3i3001-100
χ59444444-2-2-2-4-44444-2-2-2-2-2-24-2-2-244-2-2-244-2-2-2-2-2-24-2-2-2-4222-4-4222-4000000000000000000000000000-4-4222222000000000000000000000000000000000000000000
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χ6144444-2-24-2-4-444-2-2-2-244-2-2-2-24-24-2-24-2-2-2-2-244-2-2-2-24-222-42-422-42-40000000000000000000000000002222-4-422000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).