Finite Group Databasebeta

← Group #72221328

Character table — Group #72221328

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222444444444444444444444444888888888888888888888888888888888888881616161616161616161616161616161616161616161616162525252550505050505050505050505050505050505050505050200200200200200200
order12224444445555551010101010101010101010101010101010102220202020202020202020202020202020202020202020202020202020202020202020202010101010101010101010101010101010101010101010101022224444448888888888888888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii
χ51111111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11−i−iii
χ81111111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11ii−i−i
χ9111111-1-1-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-1
χ10111111-1-1-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-11
χ11111111-1-1-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-11i−i−ii
χ12111111-1-1-1-11111111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i
χ13111111-1-1-1-1111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11
χ14111111-1-1-1-1111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-1
χ15111111-1-1-1-1111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i
χ16111111-1-1-1-1111111111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii
χ172222-2-222-2-222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-20000000000000000000000
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χ192222-2-2-2-22222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000002222-2-222-2-20000000000000000000000
χ202222-2-2-2-22222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000-2-2-2-222-2-2220000000000000000000000
χ2122-2-200002-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000222222-2-2-2-2-2-200000000000000000000000022-2-2002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000
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χ2522-2-20000-22222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2-2-222222200000000000000000000000022-2-200-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000
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χ332-22-200-2200222222-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000-2-2-2-2-2-22222220000000000000000000000000000000000002-22-2-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000
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χ362-22-200-2200222222-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000-2-2-2-2-2-2222222000000000000000000000000000000000000-22-222-20000−22−222−22−22−22−2−22−22000000
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χ382-2-222-20000222222-2-2-2-2-2-2-2-2-2-2-2-222222200222222-2-2-2-2-2-20000000000000000000000000000000000000000000000002-2-2200002-20000-222-20000-222-2000000
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χ422-2-22-220000222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2-2-2-2-2-22222220000000000000000000000000000000000000000000000002-2-220000-22-222-20000-222-20000000000
χ432-2-22-220000222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000-222-200002-22i−2i−2i2i0000−2i2i2i−2i0000000000
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χ4544444444444-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1444-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ4644444444444-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-4-44-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-4-41111111111-4-4111111111100000000000000000000000000000000
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χ494444444444-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−544-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−500000000000000000000000000000000
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χ544444444444-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-4-4-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−521111−3−52−3−521−51−51+51+5−3+52−3+521111−3−52−3−521−51−51+51+5−3+52−3+5200000000000000000000000000000000
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χ1228-8-888-80000-2-2−2−253+53−5−2+25222+25−3−5−3+52−25222+25−3−5−3+52−25-2-2−2−253+53−5−2+2500-2-2−2−253+53−5−2+25222+25−3−5−3+52−2500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-8800008-2-2-2-2-2-822222-8222228-2-2-2-2-200-8222228-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-880000-28-2-2-2-22-822222-82222-28-2-2-2-2002-82222-28-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-880000-2-2−2+253−53+5−2−25222−25−3+5−3−52+25222−25−3+5−3−52+25-2-2−2+253−53+5−2−2500222−25−3+5−3−52+25-2-2−2+253−53+5−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-880000-2-23−5−2−25−2+253+522−3+52+252−25−3−522−3+52+252−25−3−5-2-23−5−2−25−2+253+50022−3+52+252−25−3−5-2-23−5−2−25−2+253+500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-880000-2-23+5−2+25−2−253−522−3−52−252+25−3+522−3−52−252+25−3+5-2-23+5−2+25−2−253−50022−3−52−252+25−3+5-2-23+5−2+25−2−253−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-880000-2-2−2−253+53−5−2+25222+25−3−5−3+52−25222+25−3−5−3+52−25-2-2−2−253+53−5−2+2500222+25−3−5−3+52−25-2-2−2−253+53−5−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000

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