Finite Group Databasebeta

← Group #72226549

Character table — Group #72226549

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149
size1122244444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888850505050100100100100100100200200200200200200200200
order12244222224555555101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010202020202020202020202020202020202020202020202020224422244444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ51111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-11-1
χ61111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-11-11
χ71111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−i−iii−i−ii
χ81111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−iii−i−iii−i
χ911111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11-11-1-11-11
χ1011111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11-111-11-1
χ1111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11i−i−ii−iii−i
χ1211111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11−iii−ii−i−ii
χ1311111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-11-1-111111-1-1-1-1
χ1411111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-11-1-11-1-1-1-11111
χ1511111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-111-1ii−i−i−i−iii
χ1611111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-111-1−i−iiiii−i−i
χ17222-2-200002-2222222222222222222222222222222222222222222222222000000000000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-200-200200000000
χ18222-2-200002-2222222222222222222222222222222222222222222222222000000000000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200200-200000000
χ19222-2-20000-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-200200-200000000
χ20222-2-20000-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-22200-200200000000
χ2122-22-2002-200222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-20000000000002-22-20002-2000000000
χ2222-22-2002-200222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000-22-22000-22000000000
χ2322-22-200-2200222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-20000000000002-22-2000-22000000000
χ2422-22-200-2200222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2000000000000-22-220002-2000000000
χ2522-2-222-20000222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-22222220000000000002-2-222-2000000000000
χ2622-2-222-20000222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2222222000000000000-222-2-22000000000000
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χ2822-2-22-220000222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000-2-2-2-2-2-2222222000000000000-222-22-2000000000000
χ29444444444444-1-1-1-1-144-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3044444444444-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1000000000000000000
χ3144444444444-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1-1-1-1-1-1-1−1+5−1+5−1+5−1+53−523−523−523−523+523+523+523+52−1−5−1−5−1−5−1−5-1-1−1+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+52−1−5−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5000000000000000000
χ3244444444444-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-1-1-1-1-1-1-13−523−523−523−52−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+53+523+523+523+52-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-13−52−1−5−1+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+52000000000000000000
χ3344444444444-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-1-1-1-1-13+523+523+523+52−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−53−523−523−523−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52000000000000000000
χ3444444444444-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5-1-1-1-1-1-1-1-1−1−5−1−5−1−5−1−53+523+523+523+523−523−523−523−52−1+5−1+5−1+5−1+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+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+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+5000000000000000000
χ354444444-4-4-4-44-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-4-4-4-4111111111111111111114-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-4-41111111111-4-411111111114-1-1-1-1-14-1-1-1-1-1-4-41111111111000000000000000000
χ364444444-4-4-4-4-14-1-1-1-1-1-144-1-1-1-1-1-1-1-11111-4-4-4-41111111111111111-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-111-4-41111111111-4-411111111-14-1-1-1-1-14-1-1-1-111-4-411111111000000000000000000
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χ384444444-4-4-4-4-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+5211111111−3+52−3+52−3+52−3+521+51+51+51+51−51−51−51−5−3−52−3−52−3−52−3−52-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+521111−3+52−3+521+51+51−51−5−3−52−3−521111−3+52−3+521+51+51−51−5−3−52−3−52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−52000000000000000000
χ394444444-4-4-4-4-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−5211111111−3−52−3−52−3−52−3−521−51−51−51−51+51+51+51+5−3+52−3+52−3+52−3+52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−521111−3−52−3−521−51−51+51+5−3+52−3+521111−3−52−3−521−51−51+51+5−3+52−3+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+52000000000000000000
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χ4244444-4-444-4-4-14-1-1-1-1-1-144-1-1-1-1-1-1-1-11111-4-4-4-41111111111111111-14-1-1-1-111-4-41111111111-4-411111111-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-111-4-411111111000000000000000000
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χ1468-8000000000-2-2−2−253+53−5−2+2525−25−252500−5+55−55+5−5−500−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ184ζ2−4ζ18−4ζ2+4ζ18002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18004ζ6−4ζ14−4ζ6+4ζ14222+25−3−5−3+52−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-8000000000-2-2−2−253+53−5−2+2525−25−252500−5+55−55+5−5−5002ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−4ζ2+4ζ184ζ2−4ζ1800−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ1800−4ζ6+4ζ144ζ6−4ζ14222+25−3−5−3+52−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8000000000-2-2−2−253+53−5−2+25−252525−25005−5−5+5−5−55+500−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ1800−4ζ2+4ζ184ζ2−4ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ184ζ6−4ζ14−4ζ6+4ζ1400222+25−3−5−3+52−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8000000000-2-2−2−253+53−5−2+25−252525−25005−5−5+5−5−55+5002ζ2−2ζ6+2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18−2ζ2+2ζ6−2ζ14+2ζ182ζ2−2ζ6+2ζ14−2ζ18−2ζ2−2ζ6+2ζ14+2ζ182ζ2+2ζ6−2ζ14−2ζ18004ζ2−4ζ18−4ζ2+4ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ18−4ζ6+4ζ144ζ6−4ζ1400222+25−3−5−3+52−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.