Finite Group Databasebeta

← Group #13170628

Character table — Group #13170628

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
order12442333466612121212121233366666666121212121212121212121288883666661212121212122244242424242424242424242424242424248888666666661212121212121212224422442424242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-11-11111111111111111-1-1-1-11-11-111-1-11-11-111-1-1-1-1-1-11-11-1-1-1-1-1-1-11-11-1
χ311111111111111111111111111111111111111111111111111111111-11-111111111111111111-1-1-1-1-11-11-1-111-11-11-1-111-1-1-1-1-11-11-1-1-1-1-1-1-11-11
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-11111-11-11-1-1-1-111-11-11
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-11111111-11-1-1-1-1-1111-11-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ911-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-1-1-111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1111-1-1
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-1-1-111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-11-11-1-111-1-1111-1-11-1-1111-11-1-11
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-1-1-111111-1-1-111-111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-1111-11-111-1-1-1-111-111-1-1-1111-1-111-1
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-11-1-111
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1-111
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χ2722222-1222-122-1-122222-1-1-122222-1-122-1-1-1-12222-10000-1-1-1-1-1-1-1-1-1-1-1-1-22-220000000000000000-2-2-2-21-1-2211-1-11-1-2211-1-1000000001111000000
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χ3322-2-2-222-1222-1-2-2-2-211-12-1-2-2111-12-111-2-2112-1-1-1222-2-2-1-2111-12-1-1-111020-222-1-1-1-1-1-1-2-21111110000020-100-1-10-20100110000020-20000000-101
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χ3522-2-2-222-1222-1-2-2-2-211-12-1-2-2111-12-111-2-2112-1-1-12-2-222-1-2111-12-1-1-111020-2-2-211111122-1-1-1-1-1-10000020-100-1-10-201001100000-202000000010-1
χ3622-2-2-222-1222-1-2-2-2-211-12-1-2-2111-12-111-2-2112-1-1-12-2-222-1-2111-12-1-1-1110-202-2-211111122-1-1-1-1-1-100000-2010011020-100-1-10000020-20000000-101
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χ3822-2-2-22-1222-12-2-211-2-2-1-12-21-211-1-121111-2-2-12-1-1222-2-2-11-211-1-12-1-111-2020-1-122-1-1-1-111-2-211110000-2010110020-10-1-1000000-202000000010-10
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χ4122-2-2-2-1222-12211-2-2-2-22-1-11-2-2-2-22-1-1-2-211112222-10000-11111-1-1-1-1-11122-2-2000000000000000022-2-2-1-122-1-1-1-111-2-2111100000000-1-111000000
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χ1148-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-66-2-2-2−2i2i−2i2i−2i2i006i−6i00000-1003-3100−3i3ii−i0000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.