Finite Group Databasebeta

← Group #11878572

Character table — Group #11878572

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222244444444444444444444444444444444444444444444444444444444444444444424242424242424243636363648484848484848487272
order122233446666662346666666666688881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244444422446612121212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-11-1-1-1-1-11-111-1-11-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-111-11-1-1-1-1-11-1-111-11-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1111-11-1-1-111
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1111111-11-1-11-11-1-1
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-11111-11-111-11-1-1-1
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-11-111111
χ911111111111111-11-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-111-11-111-11-1-1-111-1
χ1011111111111111-11-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-11-111-1-1111-1-1-11
χ1111111111111111-11-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11-11-111-1-1-111-11
χ1211111111111111-11-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-11-1-1-11-1111-11-1
χ1311111111111111-11-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-111-1-11-1111-1-1-111-11-1
χ1411111111111111-11-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-11-1111-11-11-1-1-11-111-11
χ1511111111111111-11-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1111-11-1-11-11-1-1111-11-1-1-11
χ1611111111111111-11-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-11-11-11-1-1111-1-111-1
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χ18222222-2-222222222-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-222-20000000000
χ19222222-2-2222222-222-2-2-2-222-2-2-2-220000-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000000022-2-20000000000
χ20222222-2-2222222-222-2-2-2-222-2-2-2-220000-2-22222-2-22222-2-2-2-20000000000000000000000000000000000000000-2-2220000000000
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χ2222222-12222-1-12-12-1222-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-200-2-20-200000100110100
χ2322222-12222-1-12-12-1222-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111102002-20-200000-100-110100
χ2422222-12222-1-12-12-1222-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110-200-2202000001001-10-100
χ2522222-12222-1-12-1-2-1-2-2-211-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110200-2-20200000-100110-100
χ2622222-12222-1-12-1-2-1-2-2-211-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110-200220-200000100-1-10100
χ2722222-12222-1-12-1-2-1-2-2-211-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10200-220-200000-1001-10100
χ2822222-12222-1-12-1-2-1-2-2-211-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10-2002-20200000100-110-100
χ292222-1222-1-122-122-12-1-122-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1202200200000-10-1-100-1000
χ302222-1222-1-122-122-12-1-122-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-2-200-2000001011001000
χ312222-1222-1-122-122-12-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111202-200-200000-10-11001000
χ322222-1222-1-122-122-12-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-20-2200200000101-100-1000
χ332222-1222-1-122-12-2-1-211-2-2-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111120-2200-200000-101-1001000
χ342222-1222-1-122-12-2-1-211-2-2-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-202-20020000010-1100-1000
χ352222-1222-1-122-12-2-1-211-2-2-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-120-2-200200000-101100-1000
χ362222-1222-1-122-12-2-1-211-2-2-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-202200-20000010-1-1001000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.