Finite Group Databasebeta

← Group #11865322

Character table — Group #11865322

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12442223344466661212121212122234466666666121212121212121212666666666612121212121212121212224466661212121244444412121212121212121212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ911-1-111111-1-1-11111-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-11-11-11111-1-11-11-1-1-111-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-11-11-11-11-1
χ1011-1-111111-1-1-11111-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-11-11-11111-1-11-11-1-1-111-1-111-1-11111-1-1-1-11-1-11-1111-1-1-1-111-1-111-11-11-11-11
χ1111-1-111111-1-1-11111-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-11-11-11111-1-11-11-1-1-111-1-1-1-111-1-1-1-11111-111-11-1-1-11111-1-111-1-1-11-11-11-11
χ1211-1-111111-1-1-11111-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-11-11-11111-1-11-11-1-1-111-1-1-1-111-1-1-1-11111-11-11-11-1-111-1-111-1-1111-11-11-11-1
χ1311-1-111111-1-1-11111-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-11-1111-1-111-11-11-1-1-1-11111-1-11111-1-1-1-1-111-1-11-1-11111-1-1-1-1111-1-111-1-11
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χ362222-22-222-22-22-2-222222-2-200200-22-2-2-222-2-22-22-222-2-200002-2000000002-20000000000000000000000000000000000-22002-200
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χ5122-2-22-2-22-1-2222-1-1-1-2-21111-2-2-122211-1-1-1-2-2-222-1-11111-2-21111111122-1-1-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000i3−i3−i3i30000000000000000
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χ944-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−232300-200000−2i32i3200000002i−2i−232300000000000000000000-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ700000000000000000000000000
χ954-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−2300-2000002i3−2i3200000002i−2i23−23000000000000000000002-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000000000000000
χ964-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−2300-2000002i3−2i3200000002i−2i23−2300000000000000000000-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ1100000000000000000000000000
χ978-88i−8i000-48000400-8−4i4i8i−8i0000-4000000040000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i34−4i4i−4i4i43−43002000002i3−2i3-200000002i−2i−23230000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4i4i−4i4i−434300200000−2i32i3-200000002i−2i23−230000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000-48000400-84i−4i−8i8i0000-40000000400000004i−4i000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i344i−4i4i−4i−4343002000002i3−2i3-20000000−2i2i23−230000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−4300200000−2i32i3-20000000−2i2i−23230000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.