Finite Group Databasebeta

← Group #72226489

Character table — Group #72226489

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11222444444444444444444444444444488888888888888888888888888888888888881616161616161616161616161616161616161616161616162525505050100100100100100100100100100100100100200200200200200
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χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1−i−iii
χ51111111-1-1111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1-1-1-1
χ61111111-1-1111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111-1-1111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i1−i−iii
χ81111111-1-1111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii1ii−i−i
χ911111-1-111111111111111111111111111-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-11-11-1
χ1011111-1-111111111111111111111111111-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11-11
χ1111111-1-111111111111111111111111111-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1i−i−ii
χ1211111-1-111111111111111111111111111-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1−iii−i
χ1311111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-111-1-11-11-11
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χ18222-2-22-2002222222222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2000000000000-2-222-2-22000000000000000
χ19222-2-2-22002222222222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-222222200000000000022-2-22-22000000000000000
χ20222-2-2-22002222222222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2222222000000000000-2-222-22-2000000000000000
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χ2222-22-20000222222222222-2-2-2-2-2-2-2-2-2-2-2-20222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000222-2-2000000-2200-2200000
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χ2522-2-220000222222222222-2-2-2-2-2-2-2-2-2-2-2-20-2-2-2-2-2-222222200000000000000000000000000000000000000000000000022-22-200002-2002-20000000
χ2622-2-220000222222222222-2-2-2-2-2-2-2-2-2-2-2-20-2-2-2-2-2-222222200000000000000000000000000000000000000000000000022-22-20000-2200-220000000
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χ72444-4-4-4400-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52011−3+521+51−5−3−5211−3+521+51−5−3−52−5−555−5−5555+525+52−5−52−5−5200000000−5+52−5+525−525−5211−3+521+51−5−3−52-1-13−52−1−5−1+53+525−55−5−5−525+5200005−52−5+520000000000000000000000
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χ74444-4-4-4400-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52011−3−521−51+5−3+5211−3−521−51+5−3+52−5−555−5−555−5+52−5+525−525−52000000005+525+52−5−52−5−5211−3−521−51+5−3+52-1-13+52−1+5−1−53−525−55−55−52−5+520000−5−525+520000000000000000000000
χ75444-4-4-4400-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+50111+5−3−52−3+521−5111+5−3−52−3+521−555−5−5−5−5550000−5+52−5+525−525−525+525+52−5−52−5−520000111+5−3−52−3+521−5-1-1−1−53+523−52−1+5−555−5005−52−5+52−5−525+52000000000000000000000000
χ76444-4-4-4400-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+50111+5−3−52−3+521−5111+5−3−52−3+521−5−5−55555−5−500005−525−52−5+52−5+52−5−52−5−525+525+520000111+5−3−52−3+521−5-1-1−1−53+523−52−1+55−5−5500−5+525−525+52−5−52000000000000000000000000
χ774-4000002-2444444-4-4-4-4-4-400000000000000000000000002-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000004i−4i000002i−2i0000000000000
χ784-4000002-2444444-4-4-4-4-4-400000000000000000000000002-22-22-22-22-22-22-22-22-22-22-22-2000000000000000000000000−4i4i00000−2i2i0000000000000
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χ8488-88-80000-2-23−5−2−25−2+253+5-2-23−5−2−25−2+253+52222−3+5−3+52+252+252−252−25−3−5−3−50-2-23−5−2−25−2+253+522−3+52+252−25−3−50000000000000000000000000000000000000000000000000000000000000000000000
χ8588-88-80000-2-23+5−2+25−2−253−5-2-23+5−2+25−2−253−52222−3−5−3−52−252−252+252+25−3+5−3+50-2-23+5−2+25−2−253−522−3−52−252+25−3+50000000000000000000000000000000000000000000000000000000000000000000000
χ8688-88-80000-2-2−2−253+53−5−2+25-2-2−2−253+53−5−2+2522222+252+25−3−5−3−5−3+5−3+52−252−250-2-2−2−253+53−5−2+25222+25−3−5−3+52−250000000000000000000000000000000000000000000000000000000000000000000000
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χ9088-8-880000-2-23−5−2−25−2+253+5-2-23−5−2−25−2+253+52222−3+5−3+52+252+252−252−25−3−5−3−5022−3+52+252−25−3−5-2-23−5−2−25−2+253+50000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-880000-2-23+5−2+25−2−253−5-2-23+5−2+25−2−253−52222−3−5−3−52−252−252+252+25−3+5−3+5022−3−52−252+25−3+5-2-23+5−2+25−2−253−50000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-880000-2-2−2−253+53−5−2+25-2-2−2−253+53−5−2+2522222+252+25−3−5−3−5−3+5−3+52−252−250222+25−3−5−3+52−25-2-2−2−253+53−5−2+250000000000000000000000000000000000000000000000000000000000000000000000
χ938-8000004-48-2-2-2-2-2-8222220025−2525−2525−2525−2525−2500000000000004-44-4−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+50000000000000000000000000000000000000000000000
χ948-8000004-48-2-2-2-2-2-82222200−2525−2525−2525−2525−252500000000000004-44-4−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−50000000000000000000000000000000000000000000000
χ958-8000004-4-28-2-2-2-22-8222225−250025−25−2525−252525−250000000000000−1+51−5−1−51+54-44-4−1+51−5−1−51+5−1−51+5−1+51−5−1−51+5−1+51−5−1+51−5−1−51+50000000000000000000000000000000000000000000000
χ968-8000004-4-28-2-2-2-22-82222−252500−252525−2525−25−25250000000000000−1−51+5−1+51−54-44-4−1−51+5−1+51−5−1+51−5−1−51+5−1+51−5−1−51+5−1−51+5−1+51−50000000000000000000000000000000000000000000000
χ978-8000004-4-2-2−2+253−53+5−2−25222−25−3+5−3−52+2525−25−2525005+5−5−5−5+55−5000000000000000−1+51−5−1−51+5−1−51+5−1+51−5−1+51−5−1+51−54-4−1−51+5−1+51−54-4−1−51+5−1−51+50000000000000000000000000000000000000000000000
χ988-8000004-4-2-2−2+253−53+5−2−25222−25−3+5−3−52+25−252525−2500−5−55+55−5−5+5000000000000000−1−51+5−1+51−5−1+51−5−1−51+5−1+51−5−1+51−5−1−51+54-44-4−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000000000
χ998-8000004-4-2-23−5−2−25−2+253+522−3+52+252−25−3−525−2525−25−5−55+500005−5−5+50000000000000−1+51−5−1−51+5−1+51−5−1−51+5−1−51+54-4−1−51+5−1−51+5−1+51−5−1+51−54-4−1+51−50000000000000000000000000000000000000000000000
χ1008-8000004-4-2-23−5−2−25−2+253+522−3+52+252−25−3−5−2525−25255+5−5−50000−5+55−50000000000000−1−51+5−1+51−5−1−51+5−1+51−54-4−1−51+5−1−51+5−1−51+5−1+51−5−1+51−5−1+51−54-40000000000000000000000000000000000000000000000
χ1018-8000004-4-2-23+5−2+25−2−253−522−3−52−252+25−3+525−2525−255−5−5+50000−5−55+50000000000000−1+51−5−1−51+5−1+51−5−1−51+54-4−1+51−5−1+51−5−1+51−5−1−51+5−1−51+5−1−51+54-40000000000000000000000000000000000000000000000
χ1028-8000004-4-2-23+5−2+25−2−253−522−3−52−252+25−3+5−2525−2525−5+55−500005+5−5−50000000000000−1−51+5−1+51−5−1−51+5−1+51−5−1+51−54-4−1+51−5−1+51−5−1−51+5−1−51+54-4−1−51+50000000000000000000000000000000000000000000000
χ1038-8000004-4-2-2−2−253+53−5−2+25222+25−3−5−3+52−2525−25−252500−5+55−55+5−5−5000000000000000−1+51−5−1−51+5−1−51+5−1+51−5−1−51+5−1−51+5−1+51−54-44-4−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000000000
χ1048-8000004-4-2-2−2−253+53−5−2+25222+25−3−5−3+52−25−252525−25005−5−5+5−5−55+5000000000000000−1−51+5−1+51−5−1+51−5−1−51+5−1−51+5−1−51+54-4−1+51−5−1−51+54-4−1+51−5−1+51−50000000000000000000000000000000000000000000000
χ1058-800000-448-2-2-2-2-2-8222220025−2525−2525−2525−2525−250000000000000-44-441−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000000
χ1068-800000-448-2-2-2-2-2-82222200−2525−2525−2525−2525−25250000000000000-44-441+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000
χ1078-800000-44-28-2-2-2-22-8222225−250025−25−2525−252525−2500000000000001−5−1+51+5−1−5-44-441−5−1+51+5−1−51+5−1−51−5−1+51+5−1−51−5−1+51−5−1+51+5−1−50000000000000000000000000000000000000000000000
χ1088-800000-44-28-2-2-2-22-82222−252500−252525−2525−25−252500000000000001+5−1−51−5−1+5-44-441+5−1−51−5−1+51−5−1+51+5−1−51−5−1+51+5−1−51+5−1−51−5−1+50000000000000000000000000000000000000000000000
χ1098-800000-44-2-2−2+253−53+5−2−25222−25−3+5−3−52+2525−25−2525005+5−5−5−5+55−50000000000000001−5−1+51+5−1−51+5−1−51−5−1+51−5−1+51−5−1+5-441+5−1−51−5−1+5-441+5−1−51+5−1−50000000000000000000000000000000000000000000000
χ1108-800000-44-2-2−2+253−53+5−2−25222−25−3+5−3−52+25−252525−2500−5−55+55−5−5+50000000000000001+5−1−51−5−1+51−5−1+51+5−1−51−5−1+51−5−1+51+5−1−5-44-441−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000000
χ1118-800000-44-2-23−5−2−25−2+253+522−3+52+252−25−3−525−2525−25−5−55+500005−5−5+500000000000001−5−1+51+5−1−51−5−1+51+5−1−51+5−1−5-441+5−1−51+5−1−51−5−1+51−5−1+5-441−5−1+50000000000000000000000000000000000000000000000
χ1128-800000-44-2-23−5−2−25−2+253+522−3+52+252−25−3−5−2525−25255+5−5−50000−5+55−500000000000001+5−1−51−5−1+51+5−1−51−5−1+5-441+5−1−51+5−1−51+5−1−51−5−1+51−5−1+51−5−1+5-440000000000000000000000000000000000000000000000
χ1138-800000-44-2-23+5−2+25−2−253−522−3−52−252+25−3+525−2525−255−5−5+50000−5−55+500000000000001−5−1+51+5−1−51−5−1+51+5−1−5-441−5−1+51−5−1+51−5−1+51+5−1−51+5−1−51+5−1−5-440000000000000000000000000000000000000000000000
χ1148-800000-44-2-23+5−2+25−2−253−522−3−52−252+25−3+5−2525−2525−5+55−500005+5−5−500000000000001+5−1−51−5−1+51+5−1−51−5−1+51−5−1+5-441−5−1+51−5−1+51+5−1−51+5−1−5-441+5−1−50000000000000000000000000000000000000000000000
χ1158-800000-44-2-2−2−253+53−5−2+25222+25−3−5−3+52−2525−25−252500−5+55−55+5−5−50000000000000001−5−1+51+5−1−51+5−1−51−5−1+51+5−1−51+5−1−51−5−1+5-44-441+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000000
χ1168-800000-44-2-2−2−253+53−5−2+25222+25−3−5−3+52−25−252525−25005−5−5+5−5−55+50000000000000001+5−1−51−5−1+51−5−1+51+5−1−51+5−1−51+5−1−5-441−5−1+51+5−1−5-441−5−1+51−5−1+50000000000000000000000000000000000000000000000

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