Finite Group Databasebeta

← Group #14516607

Character table — Group #14516607

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11133333999999999927272727272727273636363636361081081081081113333399999999992727272727272727363636363636108108108108
order1332336666991818181818183366666699999933992662666666181818181818181866666666181818181818661818
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ311111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ4111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1−i32−1+i32111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1−i32−1+i32
χ5111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211
χ6111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1+i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1+i32−1−i32
χ7111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1+i32−1−i32111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1+i32−1−i32
χ8111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−i32−1+i32
χ9111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211
χ103333333333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000003333333333−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000000000000000
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χ123333−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ500003333−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ50000
χ133333−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ500003333−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ50000
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χ153333−3−3i32−3+3i3233−3−3i32−3+3i3200000000000000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ400003333−3−3i32−3+3i3233−3−3i32−3+3i3200000000000000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000
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χ173333−3−3i32−3+3i3233−3−3i32−3+3i320000000000000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ400003333−3−3i32−3+3i3233−3−3i32−3+3i320000000000000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ40000
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χ28999-3−9−9i32−9+9i32-3-33+3i323−3i3200000000000000000000000000999-3−9−9i32−9+9i32-3-33+3i323−3i3200000000000000000000000000
χ299−9+9i32−9−9i32900−9+9i32−9−9i3200000000000000000000000000009−9+9i32−9−9i32900−9+9i32−9−9i320000000000000000000000000000
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χ339−9−9i32−9+9i32900−9−9i32−9+9i3200000000000000000000000000009−9−9i32−9+9i32900−9−9i32−9+9i320000000000000000000000000000
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χ359−9−9i32−9+9i32-3003+3i323−3i320000−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ40000000000000000009−9−9i32−9+9i32-3003+3i323−3i320000−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ4000000000000000000
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χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321+i321−i321+i32
χ3911111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321−i321+i321−i32
χ40111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321+i321+i321−i32
χ41111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321−i32-1-1
χ42111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-11−i321+i32
χ43111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321−i321−i321+i32
χ44111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-11+i321−i32
χ45111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321+i32-1-1
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χ493333−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ50000-3-3-3-33−3i323+3i32-3-33−3i323+3i320000000000000000−ζ+ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ5ζ2+2ζ5−2ζ2−ζ50000
χ503333−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ50000-3-3-3-33−3i323+3i32-3-33−3i323+3i3200000000000000002ζ+ζ4−ζ−2ζ4−ζ+ζ4ζ2+2ζ5−2ζ2−ζ5ζ2−ζ50000
χ513333−3−3i32−3+3i3233−3−3i32−3+3i3200000000000000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ40000-3-3-3-33+3i323−3i32-3-33+3i323−3i320000000000000000−2ζ2−ζ5ζ2−ζ5ζ2+2ζ5−ζ+ζ42ζ+ζ4−ζ−2ζ40000
χ523333−3−3i32−3+3i3233−3−3i32−3+3i320000000000000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ40000-3-3-3-33+3i323−3i32-3-33+3i323−3i320000000000000000ζ2−ζ5ζ2+2ζ5−2ζ2−ζ52ζ+ζ4−ζ−2ζ4−ζ+ζ40000
χ533333−3−3i32−3+3i3233−3−3i32−3+3i320000000000000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ40000-3-3-3-33+3i323−3i32-3-33+3i323−3i320000000000000000ζ2+2ζ5−2ζ2−ζ5ζ2−ζ5−ζ−2ζ4−ζ+ζ42ζ+ζ40000
χ54333-133-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-10000000000-3-3-31-3-31111-3-3111111-3-31111110000000000
χ55333-133-1-1-1-133-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000000000-3-3-31-3-31111-3-31111113−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000000000
χ56333-133-1-1-1-133-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000000000-3-3-31-3-31111-3-31111113+3i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000000000
χ57333-133-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32002−1+i3−1−i32−1+i3−1−i30000000000-3-3-31-3-311113−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200-21−i31+i3-21−i31+i30000000000
χ58333-133-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i3200−1+i3−1−i32−1−i32−1+i30000000000-3-3-31-3-311113−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32001−i31+i3-21+i3-21−i30000000000
χ59333-133-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i3200−1−i32−1+i3−1+i3−1−i320000000000-3-3-31-3-311113−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32001+i3-21−i31−i31+i3-20000000000
χ60333-133-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32002−1−i3−1+i32−1−i3−1+i30000000000-3-3-31-3-311113+3i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200-21+i31−i3-21+i31−i30000000000
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χ62333-133-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i3200−1−i3−1+i32−1+i32−1−i30000000000-3-3-31-3-311113+3i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32001+i31−i3-21−i3-21+i30000000000
χ63999-3−9+9i32−9−9i32-3-33−3i323+3i3200000000000000000000000000-9-9-939−9i329+9i3233−3+3i32−3−3i3200000000000000000000000000
χ64999-3−9−9i32−9+9i32-3-33+3i323−3i3200000000000000000000000000-9-9-939+9i329−9i3233−3−3i32−3+3i3200000000000000000000000000
χ659−9+9i32−9−9i32900−9+9i32−9−9i320000000000000000000000000000-99−9i329+9i32-9009−9i329+9i320000000000000000000000000000
χ669−9+9i32−9−9i32-3003−3i323+3i3200002ζ+4ζ42ζ−2ζ4−4ζ−2ζ44ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ5000000000000000000-99−9i329+9i32300−3+3i32−3−3i320000−2ζ−4ζ4−2ζ+2ζ44ζ+2ζ4−4ζ2−2ζ52ζ2−2ζ52ζ2+4ζ5000000000000000000
χ679−9+9i32−9−9i32-3003−3i323+3i3200002ζ−2ζ4−4ζ−2ζ42ζ+4ζ4−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5000000000000000000-99−9i329+9i32300−3+3i32−3−3i320000−2ζ+2ζ44ζ+2ζ4−2ζ−4ζ42ζ2−2ζ52ζ2+4ζ5−4ζ2−2ζ5000000000000000000
χ689−9+9i32−9−9i32-3003−3i323+3i320000−4ζ−2ζ42ζ+4ζ42ζ−2ζ4−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ5000000000000000000-99−9i329+9i32300−3+3i32−3−3i3200004ζ+2ζ4−2ζ−4ζ4−2ζ+2ζ42ζ2+4ζ5−4ζ2−2ζ52ζ2−2ζ5000000000000000000
χ699−9−9i32−9+9i32900−9−9i32−9+9i320000000000000000000000000000-99+9i329−9i32-9009+9i329−9i320000000000000000000000000000
χ709−9−9i32−9+9i32-3003+3i323−3i3200004ζ2+2ζ5−2ζ2+2ζ5−2ζ2−4ζ52ζ−2ζ4−4ζ−2ζ42ζ+4ζ4000000000000000000-99+9i329−9i32300−3−3i32−3+3i320000−4ζ2−2ζ52ζ2−2ζ52ζ2+4ζ5−2ζ+2ζ44ζ+2ζ4−2ζ−4ζ4000000000000000000
χ719−9−9i32−9+9i32-3003+3i323−3i320000−2ζ2+2ζ5−2ζ2−4ζ54ζ2+2ζ5−4ζ−2ζ42ζ+4ζ42ζ−2ζ4000000000000000000-99+9i329−9i32300−3−3i32−3+3i3200002ζ2−2ζ52ζ2+4ζ5−4ζ2−2ζ54ζ+2ζ4−2ζ−4ζ4−2ζ+2ζ4000000000000000000
χ729−9−9i32−9+9i32-3003+3i323−3i320000−2ζ2−4ζ54ζ2+2ζ5−2ζ2+2ζ52ζ+4ζ42ζ−2ζ4−4ζ−2ζ4000000000000000000-99+9i329−9i32300−3−3i32−3+3i3200002ζ2+4ζ5−4ζ2−2ζ52ζ2−2ζ5−2ζ−4ζ4−2ζ+2ζ44ζ+2ζ4000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.