Finite Group Databasebeta

← Group #72223213

Character table — Group #72223213

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178
size11222222244444444444444444444444444448888888888888888888888888888888888888888888888888888888888888888888888888888888888881616252532323232323232323232323232323232323232323232323250505050505050100100100100200200200200200200200200200200200200200200200200400400
order12244888844555555881010101010101010101010101010101010102020202020202020202020202020202020202020202020202020202020202020202020204040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040402222101010101010101010101010101010101010101010101010244888844881616161616161616161616161616161622
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1
χ51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1
χ71111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ81111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ911111-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-1
χ1011111-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-1
χ1111111-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-11
χ1211111-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-11
χ1311111-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-11
χ1411111-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-11
χ1511111-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-11111-1-1-1-111-1-11111-1-11-1
χ1611111-1-1-1-111111111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-111-1-11111-1-111-1-1-1-1111-1
χ172222222-2-2-2-22222222-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2002200000000000000000000000022222-2-2-2-22-2000000000000000000
χ182222222-2-2-2-22222222-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2000000000000000000000000-2-2-2-2-22222-22000000000000000000
χ1922222-2-222-2-2222222-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222222220022000000000000000000000000222-2-222-2-2-22000000000000000000
χ2022222-2-222-2-2222222-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222222200-2-2000000000000000000000000-2-2-222-2-2222-2000000000000000000
χ2122-22-20022002222220-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-20022000000000000000000000000-22-20022000-22−22−200002−22−2000000
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χ2322-22-20022002222220-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-200-2-20000000000000000000000002-2200-2-20002i2−i2i2−i20000−i2i2−i2i2000000
χ2422-22-20022002222220-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-200-2-20000000000000000000000002-2200-2-20002−i2i2−i2i20000i2−i2i2−i2000000
χ2522-22-200-2-20022222202222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222222220022000000000000000000000000-22-200-2-20002i2−i2−i2i20000i2−i2−i2i2000000
χ2622-22-200-2-20022222202222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222222220022000000000000000000000000-22-200-2-20002−i2i2i2−i20000−i2i2i2−i2000000
χ2722-22-200-2-20022222202222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222222200-2-20000000000000000000000002-220022000-22−2−220000−222−2000000
χ2822-22-200-2-20022222202222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222222200-2-20000000000000000000000002-220022000-2−222−200002−2−22000000
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χ3022-2-22220000222222-20222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000022000000000000000000000000-2-22220000-200000−22−220000−22−2200
χ3122-2-22220000222222-20222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000-2-200000000000000000000000022-2-2-20000200000i2−i2i2−i20000−i2i2−i2i200
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χ3322-2-22-2-2000022222220222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000022000000000000000000000000-2-22-2-20000200000i2−i2−i2i20000i2−i2−i2i200
χ3422-2-22-2-2000022222220222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000022000000000000000000000000-2-22-2-20000200000−i2i2i2−i20000−i2i2i2−i200
χ3522-2-22-2-2000022222220222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000-2-200000000000000000000000022-2220000-2000002−2−220000−222−200
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χ37444444444444-1-1-1-1-1444-1-1-1-1-144-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1440044-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
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χ1768-8000−4242−42424-4-2-23+5−2+25−2−253−50022−3−52−252+25−3+5−2525−2525−5+55−500005+5−5−5−1−5−1+51+51−5−1−5−1+51+51−5−1+541−5-4−1+5−1+51−51−5−1−5−1−51+51+54−1−5-41+50000000000002−22−2−ζ7+ζ13+2ζ21−ζ23+2ζ29−2ζ31+ζ37−2ζ39ζ7−ζ13−2ζ21+ζ23−2ζ29+2ζ31−ζ37+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13+ζ21−2ζ23+ζ29−ζ31+2ζ37−ζ392ζ7−2ζ13−ζ21+2ζ23−ζ29+ζ31−2ζ37+ζ3910−1010−103ζ7−3ζ13−2ζ21+3ζ23−2ζ29+2ζ31−3ζ37+2ζ39−3ζ7+3ζ13+2ζ21−3ζ23+2ζ29−2ζ31+3ζ37−2ζ390000−2ζ7+2ζ13+3ζ21−2ζ23+3ζ29−3ζ31+2ζ37−3ζ392ζ7−2ζ13−3ζ21+2ζ23−3ζ29+3ζ31−2ζ37+3ζ392−22−2−ζ7+ζ13+2ζ21−ζ23+2ζ29−2ζ31+ζ37−2ζ39ζ7−ζ13−2ζ21+ζ23−2ζ29+2ζ31−ζ37+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ7+2ζ13+ζ21−2ζ23+ζ29−ζ31+2ζ37−ζ392ζ7−2ζ13−ζ21+2ζ23−ζ29+ζ31−2ζ37+ζ3910−1010−103ζ7−3ζ13−2ζ21+3ζ23−2ζ29+2ζ31−3ζ37+2ζ39−3ζ7+3ζ13+2ζ21−3ζ23+2ζ29−2ζ31+3ζ37−2ζ390000−2ζ7+2ζ13+3ζ21−2ζ23+3ζ29−3ζ31+2ζ37−3ζ392ζ7−2ζ13−3ζ21+2ζ23−3ζ29+3ζ31−2ζ37+3ζ39000000000000000000000000000000000000000000000000000000000
χ1778-8000−4242−42424-4-2-2−2−253+53−5−2+2500222+25−3−5−3+52−2525−25−252500−5+55−55+5−5−500−1+5−1−51−51+5−1−5−1+51+51−5−1−5−1−51+51+5−1+541−5-44−1−5-41+5−1+5−1+51−51−50000000000002−22−2−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−ζ7+ζ13+2ζ21−ζ23+2ζ29−2ζ31+ζ37−2ζ39ζ7−ζ13−2ζ21+ζ23−2ζ29+2ζ31−ζ37+2ζ39−2ζ7+2ζ13+ζ21−2ζ23+ζ29−ζ31+2ζ37−ζ392ζ7−2ζ13−ζ21+2ζ23−ζ29+ζ31−2ζ37+ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−101010−10003ζ7−3ζ13−2ζ21+3ζ23−2ζ29+2ζ31−3ζ37+2ζ39−3ζ7+3ζ13+2ζ21−3ζ23+2ζ29−2ζ31+3ζ37−2ζ39−2ζ7+2ζ13+3ζ21−2ζ23+3ζ29−3ζ31+2ζ37−3ζ392ζ7−2ζ13−3ζ21+2ζ23−3ζ29+3ζ31−2ζ37+3ζ39002−22−2−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−ζ7+ζ13+2ζ21−ζ23+2ζ29−2ζ31+ζ37−2ζ39ζ7−ζ13−2ζ21+ζ23−2ζ29+2ζ31−ζ37+2ζ39−2ζ7+2ζ13+ζ21−2ζ23+ζ29−ζ31+2ζ37−ζ392ζ7−2ζ13−ζ21+2ζ23−ζ29+ζ31−2ζ37+ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−101010−10003ζ7−3ζ13−2ζ21+3ζ23−2ζ29+2ζ31−3ζ37+2ζ39−3ζ7+3ζ13+2ζ21−3ζ23+2ζ29−2ζ31+3ζ37−2ζ39−2ζ7+2ζ13+3ζ21−2ζ23+3ζ29−3ζ31+2ζ37−3ζ392ζ7−2ζ13−3ζ21+2ζ23−3ζ29+3ζ31−2ζ37+3ζ3900000000000000000000000000000000000000000000000000000000000
χ1788-8000−4242−42424-4-2-2−2−253+53−5−2+2500222+25−3−5−3+52−25−252525−25005−5−5+5−5−55+500−1−5−1+51+51−5−1+5−1−51−51+5−1−5−1−51+51+54−1+5-41−5−1−541+5-4−1+5−1+51−51−50000000000002−22−2−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−ζ7+ζ13+2ζ21−ζ23+2ζ29−2ζ31+ζ37−2ζ39ζ7−ζ13−2ζ21+ζ23−2ζ29+2ζ31−ζ37+2ζ39−2ζ7+2ζ13+ζ21−2ζ23+ζ29−ζ31+2ζ37−ζ392ζ7−2ζ13−ζ21+2ζ23−ζ29+ζ31−2ζ37+ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3710−10−101000−3ζ7+3ζ13+2ζ21−3ζ23+2ζ29−2ζ31+3ζ37−2ζ393ζ7−3ζ13−2ζ21+3ζ23−2ζ29+2ζ31−3ζ37+2ζ392ζ7−2ζ13−3ζ21+2ζ23−3ζ29+3ζ31−2ζ37+3ζ39−2ζ7+2ζ13+3ζ21−2ζ23+3ζ29−3ζ31+2ζ37−3ζ39002−22−2−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−ζ7+ζ13+2ζ21−ζ23+2ζ29−2ζ31+ζ37−2ζ39ζ7−ζ13−2ζ21+ζ23−2ζ29+2ζ31−ζ37+2ζ39−2ζ7+2ζ13+ζ21−2ζ23+ζ29−ζ31+2ζ37−ζ392ζ7−2ζ13−ζ21+2ζ23−ζ29+ζ31−2ζ37+ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ3710−10−101000−3ζ7+3ζ13+2ζ21−3ζ23+2ζ29−2ζ31+3ζ37−2ζ393ζ7−3ζ13−2ζ21+3ζ23−2ζ29+2ζ31−3ζ37+2ζ392ζ7−2ζ13−3ζ21+2ζ23−3ζ29+3ζ31−2ζ37+3ζ39−2ζ7+2ζ13+3ζ21−2ζ23+3ζ29−3ζ31+2ζ37−3ζ3900000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.