Finite Group Databasebeta

← Group #11867893

Character table — Group #11867893

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222224444444446688888888888121212121212122424242424242424363672112222222224444444446688888888888121212121212122424242424242424363672
order12233446612123666121212121288681224242424242424242482424242446812121224248822226644661212666612121212128868122424242424242424248242424244681212122424882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111111-1-11-1-1-111-1-1-1111111111111111111111111111111111-1-111111-1-11-1-1-111-1-1-1
χ311111111111111111111111-11-1-1-1-1-1-1-1-11111111-11-11-1-1-1-111-111111111111111111111111-11-1-1-1-1-1-1-1-11111111-11-11-1-1-1-111-1
χ411111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11
χ511111111111111111111-1-11111111111111-1-1-1-1-111-1111-1-1-1-1-111111111111111111111-1-11111111111111-1-1-1-1-111-1111-1-1-1-1-1
χ611111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111-1-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-1111111111111111111111-1-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-11
χ811111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1
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χ112222-1222-122-12-1-1-1-1-1-1200-12-122-1-1-1-1-1-122000002-10-1-1-1000002222-1222-122-12-1-1-1-1-1-1200-12-122-1-1-1-1-1-122000002-10-1-1-100000
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χ132222-1222-122-12-1-1-1-1-1-1200-1-2-1-2-21111112200000-2-10-111000002222-1222-122-12-1-1-1-1-1-1200-1-2-1-2-21111112200000-2-10-11100000
χ142222-1222-122-12-1-1-1-1-1-1200-1-2-1-2-2111111-2-2000002101-1-1000002222-1222-122-12-1-1-1-1-1-1200-1-2-1-2-2111111-2-2000002101-1-100000
χ15222-1222-12-1-1-1-12-122-1-1-122-12-1-1-122-1-1-1-1002-1-1-1-1002000-1-1000222-1222-12-1-1-1-12-122-1-1-122-12-1-1-122-1-1-1-1002-1-1-1-1002000-1-1000
χ16222-1222-12-1-1-1-12-122-1-1-122-1-2-111-2-21111002-1-1-1-100-200011000222-1222-12-1-1-1-12-122-1-1-122-1-2-111-2-21111002-1-1-1-100-200011000
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χ18222-1222-12-1-1-1-12-122-1-1-1-2-2-1-2-111-2-2111100-21111002000-1-1000222-1222-12-1-1-1-12-122-1-1-1-2-2-1-2-111-2-2111100-21111002000-1-1000
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χ4144-4-2-2-44-2-2221221-22-1-1-200-10123−2300−33−3300000000000000000044-4-2-2-44-2-2221221-22-1-1-200-10123−2300−33−33000000000000000000
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χ484-40-24002-4−2323-200200−232302i2−2i200000000000000−i2i2i6−i6000000000004-40-24002-4−2323-200200−232302i2−2i200000000000000−i2i2i6−i600000000000
χ498-808-400-8400-40040000000000000000000000000000000000008-808-400-8400-4004000000000000000000000000000000000000
χ508-80-4-4004443−43200-200−2323000000000000000000000000000000008-80-4-4004443−43200-200−232300000000000000000000000000000000
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χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ53111111111111111111111111111111111-1-111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1111-1-1111
χ5411111111111111111111111-11-1-1-1-1-1-1-1-11111111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-11-11-11111-1-11
χ5511111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-1111-1-11111-1
χ5611111111111111111111-1-11111111111111-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-111111
χ5711111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1
χ5811111111111111111111-1-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111111111-1-1111111-1-1-111-1-111-1
χ5911111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111111111111111-11-11-1-1-1-1-1-11
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χ69222-1222-12-1-1-1-12-122-1-1-1-2-2-1-2-111-2-2111100-21111002000-1-1000-2-2-21-2-2-21-21111-21-2-211122121-1-122-1-1-1-1002-1-1-1-100-200011000
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χ944-404400-4-400400-400000−2i22i200000000000000−2i22i20000000000000-440-4-4004400-4004000002i2−2i2000000000000002i2−2i20000000000000
χ954-404400-4-400400-4000002i2−2i2000000000000002i2−2i20000000000000-440-4-4004400-400400000−2i22i200000000000000−2i22i20000000000000
χ964-40-24002-423−23-20020023−230−2i22i200000000000000i2−i2i6−i600000000000-4402-400-24−2323200-200−232302i2−2i200000000000000−i2i2−i6i600000000000
χ974-40-24002-423−23-20020023−2302i2−2i200000000000000−i2i2−i6i600000000000-4402-400-24−2323200-200−23230−2i22i200000000000000i2−i2i6−i600000000000
χ984-40-24002-4−2323-200200−23230−2i22i200000000000000i2−i2−i6i600000000000-4402-400-2423−23200-20023−2302i2−2i200000000000000−i2i2i6−i600000000000
χ994-40-24002-4−2323-200200−232302i2−2i200000000000000−i2i2i6−i600000000000-4402-400-2423−23200-20023−230−2i22i200000000000000i2−i2−i6i600000000000
χ1008-808-400-8400-4004000000000000000000000000000000000000-880-84008-400400-4000000000000000000000000000000000000
χ1018-80-4-4004443−43200-200−232300000000000000000000000000000000-8804400-4-4−4343-20020023−2300000000000000000000000000000000
χ1028-80-4-40044−4343200-20023−2300000000000000000000000000000000-8804400-4-443−43-200200−232300000000000000000000000000000000

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