Finite Group Databasebeta

← Group #11866207

Character table — Group #11866207

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212122466666666661212121212121212121222224444888824242424242424246666881212121224242424444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-111-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1-11111-1-1-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1111-1-1-1-111-1-111-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-11-1-111-1-11111-1-11-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1111-1-1-1-11111-1-1-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-11-1-111-1-111-1-1111-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-11111-1-1111-111-1-111-1-1-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-11111-1-1-1-1-1-1111-1-1-11111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000000000002-22-200
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χ192222222-12222-1-12-1222222-122-1-1-1-1-12-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000000000000000-1-1-1-1220000-1-1-1-1000000
χ202222222-12222-1-12-1222222-122-1-1-1-1-12-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000000000001111-2-200001111000000
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χ25222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111100002222-2-2-2-211111111000000-1-1-1-10000000000
χ26222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-22222-1-1-1-1-1-1-1-100000011110000000000
χ272222-2-222-222-222222222222-2-2-2-2222-2-2222222-2-2000000-2-200000000-2-2000000000000000000000000000000000000002-2-2200
χ282222-2-222-222-222222222222-2-2-2-2222-2-2222222-2-2000000-2-200000000-2-200000000000000000000000000000000000000-222-200
χ292222-2-22-12-2-22-1-12-122-2-2-2-2-1-2-211-1-1-12-11111112-12-222-1-111-1-1-1-1-2-211-1-1111122-2-20000000000000000-1-1112-20000-1-111000000
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χ312222-2-22-12-2-22-1-12-122-2-2-2-2-1-2-211-1-1-12-11111112-1-22-2-21111111122-1-1-1-1-1-1-1-122-2-20000000000000000-1-111-22000011-1-1000000
χ322222-2-22-12-2-22-1-12-122-2-2-2-2-1-2-211-1-1-12-11111112-1-22-2-21111111122-1-1-1-1-1-1-1-1-2-222000000000000000011-1-12-20000-1-111000000
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χ342222-2-2-122-2-2222-12-1-11111-111-2-2-1-1-1-12-2-21111-122-2-1-12211-1-1-1-111-2-2-1-111110000-2-222-2-2221111-1-1-1-100000011-1-10000000000
χ352222-2-2-122-2-2222-12-1-11111-111-2-2-1-1-1-12-2-21111-12-2211-2-2111111-1-122-1-1-1-1-1-1000022-2-2-2-2221111-1-1-1-1000000-1-1110000000000
χ362222-2-2-122-2-2222-12-1-11111-111-2-2-1-1-1-12-2-21111-12-2211-2-2111111-1-122-1-1-1-1-1-10000-2-22222-2-2-1-1-1-1111100000011-1-10000000000
χ3722-2-22-22222-2-2-2-222-2-222-2-222-22-2-2-22222-222-2-2-2-20000002-2000000002-2000000002i−2i2i−2i0000000000000000002i−2i2i−2i0000000000
χ3822-2-22-22222-2-2-2-222-2-222-2-222-22-2-2-22222-222-2-2-2-20000002-2000000002-200000000−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000
χ3922-2-22-222-2-222-2-222-2-2-2-22222-22-2-2-22-2-2-22-2-222220000002-200000000-2200002-22-200000000000000002-22-20000000000000000
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χ4322-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-211-111-1-12-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i32-22-20000000000000000-11-11000000i3−i3i3−i3000000
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χ4522-2-22-2-1222-2-2-2-2-1211-1-111-1-112-211-1-122-2-1-1111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i300002i−2i2i−2i000033−3−333−3−3000000−ii−ii0000000000
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χ4722-2-22-2-1222-2-2-2-2-1211-1-111-1-112-211-1-122-2-1-1111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i300002i−2i2i−2i0000−3−333−3−333000000−ii−ii0000000000
χ4822-2-22-2-1222-2-2-2-2-1211-1-111-1-112-211-1-122-2-1-1111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i30000−2i2i−2i2i000033−3−333−3−3000000i−ii−i0000000000
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χ5022-2-2-22222-22-2-2-222-2-2-2-2222-22-22-2-2222-22-2-222-2-2000000-22000000002-200000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
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χ5622-2-2-222-1-22-22112-1-2-222-2-2-1-221-111-1-21-11-1-1112-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i3-222-200000000000000001-1-11000000−i3i3i3−i3000000
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χ978-88-8008-40000-44-848-80000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-4444-4443−4343−43200002-2-20000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-4444-44−4343−4343200002-2-2000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400004-4-84-880000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-4444-443−43−434320000-22-20000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-4444-4−434343−4320000-22-2000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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