Finite Group Databasebeta

← Group #11866357

Character table — Group #11866357

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121224666666666612121212121212121212444444448888242424242424242488121212121212121224242424444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111111-1-1-11111-1-111-1-1-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-111-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-11-1-111-1-111-1-11111-1-11-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-11111-1-1-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1111-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1-11111-1-1-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-11111-1-1-1-11-1-1-111-1-11111-1-111-1-1-11
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χ192222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-100-1-1-1-100000000000000
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χ25222222-122222-1-1222-12222-1-1-122-1-1-12-1-1-1-1-1-1-12-1-2-211-2-2-1-11111-2-211-1-1111122220000000000000000-2-20000-1-1-1-11111000000
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χ272222-2-222-222-222222222222-2-2-2-2222-2-2222222-2-2000000-2-200000000-2-2000000000000000000000000000000000000002-2-2200
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χ292222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-1-12-2-21111-122-222-1-111-1-1-1-111-2-2-1-11111000022-2-222-2-2-1-1-1-1111100-1-11100000000000000
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χ322222-2-22-12-2-2222-1-1-121111-1-2-211-1-1-1-12-2-21111-12-22-2-211111111-1-122-1-1-1-1-1-10000-2-22222-2-2-1-1-1-111110011-1-100000000000000
χ332222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-12-11111112-12-2-1-12211-1-1-1-1-2-211-1-1111122-2-200000000000000002-20000-1-111-1-111000000
χ342222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-12-11111112-12-2-1-12211-1-1-1-1-2-211-1-11111-2-2220000000000000000-22000011-1-111-1-1000000
χ352222-2-2-122-2-22-1-1222-1-2-2-2-2-111-2-2-1-1-12-11111112-1-2211-2-211111122-1-1-1-1-1-1-1-122-2-20000000000000000-220000-1-11111-1-1000000
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χ3822-2-22-22222-2-2-2-22-2-2222-2-222-22-2-2-22222-222-2-2-2-20000002-2000000002-200000000−2i2i−2i2i00000000000000−2i2i−2i2i00000000000000
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χ4522-2-22-2-12-2-222112-2-2-1-2-222-1-112-211-1-211-111-1-12-100−i3i300-11−i3i3−i3i300−i3i31-1−i3i3−i3i32-22-20000000000000000000000-11-11−i3i3−i3i3000000
χ4622-2-22-2-12-2-222112-2-2-1-2-222-1-112-211-1-211-111-1-12-100−i3i300-11−i3i3−i3i300−i3i31-1−i3i3−i3i3-22-2200000000000000000000001-11-1i3−i3i3−i3000000
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χ934-4-44004-20000-4422-2-423−23−2323-200002-22000023−23−232300000000000000000000000000000000−2i22i200i2−i2−i2i2−i6i6i6−i600000000000000000000
χ944-4-44004-20000-4422-2-423−23−2323-200002-22000023−23−2323000000000000000000000000000000002i2−2i200−i2i2i2−i2i6−i6−i6i600000000000000000000
χ954-4-44004-20000-4422-2-4−232323−23-200002-220000−232323−2300000000000000000000000000000000−2i22i200i2−i2−i2i2i6−i6−i6i600000000000000000000
χ964-4-44004-20000-4422-2-4−232323−23-200002-220000−232323−23000000000000000000000000000000002i2−2i200−i2i2i2−i2−i6i6i6−i600000000000000000000
χ978-88-800-480000-44-88-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-444-44443−4343−43200002-2-20000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-444-444−4343−4343200002-2-2000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-4-8-8840000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-444-4443−43−434320000-22-20000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444-44−434343−4320000-22-2000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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