Finite Group Databasebeta

← Group #11799749

Character table — Group #11799749

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222222224444444444444444444444444444444444444444444444444444444444444424242424242424242424242448484848484872727272
order122334466668888121224242424344666688121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242416161616484848484848484844121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ611111111111-1-1111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ711111111111-1-1111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ811111111111-1-1111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ92222222222222-2-222-2-2-2-22-2-22222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000
χ1022222222222-2-2-2-222-2-2-2-22222222-2-222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
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χ122222-1222-1222222-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ132222-1222-12222-2-2-1-11111-1-2-2-1-1-1-1-22-2-2-2-211111111111122-1-1-1-1-111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1000033−3−333−3−30000000000
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χ152222-1222-122-2-222-1-1-1-1-1-1-1-2-2-1-1-1-12-2-2-2-2-211111111111122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2-1-1-1-111110000000000
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χ182222-1222-122-2-2-2-2-1-11111-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-111-2-2-2-211111111-2-2-2-21111111111110000−3−33333−3−30000000000
χ19222-1222-12-1-12222222222-1222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
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χ2722-2222-222-2-20022222222200-22-2-2-2000000000000000002-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000000000002i−2i
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χ3622-22-1-222-1-2-222001133−3−3-1001-1110-2000033−3−33333−3−3−3−3-22-111-1-13−3000033−3−333−3−322-2-2-1-111-1-1-1-11111i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
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χ3822-22-1-222-1-2-2220011−3−333-1001-1110-20000−3−333−3−3−3−33333-22-111-1-1−330000−3−333−3−33322-2-2-1-111-1-1-1-11111i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
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χ1034-40-2-200222i3−2i3−2222−2i22i2−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71−2i2i0-1−i3i300−2ζ222ζ22−2ζ142ζ14−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ222ζ4+ζ20+ζ22−2ζ4−ζ20−ζ22−ζ4+ζ14−2ζ20ζ4−ζ14+2ζ20−2ζ4−ζ20+ζ222ζ4+ζ20−ζ22ζ4+ζ14+2ζ20−ζ4−ζ14−2ζ200003−33i−3i00i2−i2−66−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232−2i6−i62−26−6−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000
χ1044-40-2-200222i3−2i3−22222i2−2i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2312i−2i0-1−i3i3002ζ22−2ζ222ζ14−2ζ14−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ222ζ4+ζ20−ζ22−2ζ4−ζ20+ζ22−ζ4−ζ14−2ζ20ζ4+ζ14+2ζ20−2ζ4−ζ20−ζ222ζ4+ζ20+ζ22ζ4−ζ14+2ζ20−ζ4+ζ14−2ζ20000−33−3i3i00−i2i26−6ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232−2i6−i62−2−662ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000000000000000
χ1054-40-2-200222i3−2i3−22222i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ712i−2i0-1−i3i3002ζ22−2ζ222ζ14−2ζ14ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−2ζ4−ζ20−ζ222ζ4+ζ20+ζ22ζ4−ζ14+2ζ20−ζ4+ζ14−2ζ202ζ4+ζ20−ζ22−2ζ4−ζ20+ζ22−ζ4−ζ14−2ζ20ζ4+ζ14+2ζ200003−33i−3i00−i2i26−6ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232−2i6−i62−26−6−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.