Finite Group Databasebeta

← Group #11791010

Character table — Group #11791010

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212444444448888888844121212121212121212121212121212121212121212121212121212122424242424242424888888884444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ9111-1-1-11-1111-11-11111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-11-1-11iiii−i−i−i−i1111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−iii−i−i11-1-1i−i
χ10111-1-1-11-1111-11-11111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-11-1-11iiii−i−i−i−i1111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii−i−iii-1-111−ii
χ11111-1-1-11-1111-11-11111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-11-1-11iiii−i−i−i−i-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11i−iii−i−i-1-111−ii
χ12111-1-1-11-1111-11-11111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-11-1-11iiii−i−i−i−i-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1−ii−i−iii11-1-1i−i
χ13111-1-1-11-1111-11-11111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-11-1-11−i−i−i−iiiii1111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii−i−iii11-1-1−ii
χ14111-1-1-11-1111-11-11111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-11-1-11−i−i−i−iiiii1111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11i−iii−i−i-1-111i−i
χ15111-1-1-11-1111-11-11111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-11-1-11−i−i−i−iiiii-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11−ii−i−iii-1-111i−i
χ16111-1-1-11-1111-11-11111-1-1-1-1-11-1-1-11111-1-1-1-1111-1-11-1-11−i−i−i−iiiii-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1i−iii−i−i11-1-1−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000-2-2-2-20000000022-2-222-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000-2-2-2-200000000-2-222-2-222000000000000000000000000000000
χ19222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222222220000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000
χ20222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222222200000000-2-21111-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000-2-21111000000
χ21222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000-2-21111000000
χ22222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-2-21111-2-2-2-2-1-1-1-1111111111111111100000000000000000022-1-1-1-1000000
χ23222222222-1-2-2-2-222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-222-2-222-2-20000000000−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i3-1-111-1-11100000000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-222-2-222-2-20000000000i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i3-1-111-1-11100000000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-222-2-2220000000000−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i311-1-111-1-100000000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-222-2-2220000000000i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i311-1-111-1-100000000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-1-10000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000022000000-1-1-1-100
χ2822222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-1-10000000022222222-2-2-2-2-2-21111-1-1-1-11111111100000000-1-1-1-1-1-1-1-100000000-2-2000000111100
χ2922222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000-2-2000000111100
χ3022222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-1-1-1-11111111100000000111111110000000022000000-1-1-1-100
χ31222-2-2-22-222-22-222222-2-2-2-2-22-2-2-22222-2-2-2-22-2-222-222-22i2i−2i−2i−2i−2i2i2i000000000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ32222-2-2-22-222-22-222222-2-2-2-2-22-2-2-22222-2-2-2-22-2-222-222-2−2i−2i2i2i2i2i−2i−2i000000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ33222-2-2-22-22-12-22-222-1-1-2-2-2-21-11112-1-1-11111-1-1-1112-2-222i2i2i2i−2i−2i−2i−2i000000002-2-1-11122-2-2-1-111-1-1-1-11111−i−i−i−iiiii0000000000000000002i−2i−i−iii000000
χ34222-2-2-22-22-12-22-222-1-1-2-2-2-21-11112-1-1-11111-1-1-1112-2-222i2i2i2i−2i−2i−2i−2i00000000-2211-1-1-2-222-1-1111111-1-1-1-1−i−i−i−iiiii000000000000000000−2i2iii−i−i000000
χ35222-2-2-22-22-12-22-222-1-1-2-2-2-21-11112-1-1-11111-1-1-1112-2-22−2i−2i−2i−2i2i2i2i2i000000002-2-1-11122-2-2-1-111-1-1-1-11111iiii−i−i−i−i000000000000000000−2i2iii−i−i000000
χ36222-2-2-22-22-12-22-222-1-1-2-2-2-21-11112-1-1-11111-1-1-1112-2-22−2i−2i−2i−2i2i2i2i2i00000000-2211-1-1-2-222-1-1111111-1-1-1-1iiii−i−i−i−i0000000000000000002i−2i−i−iii000000
χ37222-2-2-22-22-1-22-2222-1-1-2-2-2-21-11112-1-1-11111-111-1-1-222-22i2i−2i−2i−2i−2i2i2i0000000000−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i000000000000000000003−3−33000000
χ38222-2-2-22-22-1-22-2222-1-1-2-2-2-21-11112-1-1-11111-111-1-1-222-22i2i−2i−2i−2i−2i2i2i0000000000i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i00000000000000000000−333−3000000
χ39222-2-2-22-22-1-22-2222-1-1-2-2-2-21-11112-1-1-11111-111-1-1-222-2−2i−2i2i2i2i2i−2i−2i0000000000−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii00000000000000000000−333−3000000
χ40222-2-2-22-22-1-22-2222-1-1-2-2-2-21-11112-1-1-11111-111-1-1-222-2−2i−2i2i2i2i2i−2i−2i0000000000i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii000000000000000000003−3−33000000
χ41222-2-2-22-2-122-22-2-1-1221111-22-2-2-2-1-1-1-11111-122-2-2-111-1000000002222-2-2-2-22-222-2-2-1-111-1-111-1-1-1-1111100000000-1-1-1-11111000000002-2000000-1-11100
χ42222-2-2-22-2-122-22-2-1-1221111-22-2-2-2-1-1-1-11111-122-2-2-111-1000000002222-2-2-2-2-22-2-22211-1-1-1-1111111-1-1-1-100000000-1-1-1-1111100000000-2200000011-1-100
χ43222-2-2-22-2-122-22-2-1-1221111-22-2-2-2-1-1-1-11111-122-2-2-111-100000000-2-2-2-222222-222-2-2-1-111-1-111-1-1-1-11111000000001111-1-1-1-100000000-2200000011-1-100
χ44222-2-2-22-2-122-22-2-1-1221111-22-2-2-2-1-1-1-11111-122-2-2-111-100000000-2-2-2-22222-22-2-22211-1-1-1-1111111-1-1-1-1000000001111-1-1-1-1000000002-2000000-1-11100
χ4522-222-2-2-22200002-22-222-2-22-22-2-2-222-222-2-2-200000000002-2002-222−2−222−2−20000000000000000000000002-2002-222−2−222−2−222−2−222−2−200000000000000
χ4622-222-2-2-22200002-22-222-2-22-22-2-2-222-222-2-2-200000000002-2002-2−2−222−2−2220000000000000000000000002-2002-2−2−222−2−222−2−222−2−22200000000000000
χ4722-222-2-2-22200002-22-222-2-22-22-2-2-222-222-2-2-20000000000-2200-2222−2−222−2−2000000000000000000000000-2200-2222−2−222−2−2−2−222−2−22200000000000000
χ4822-222-2-2-22200002-22-222-2-22-22-2-2-222-222-2-2-20000000000-2200-22−2−222−2−222000000000000000000000000-2200-22−2−222−2−22222−2−222−2−200000000000000
χ4922-2-2-22-222200002-22-2-2-222-2-2-222-222-2-2-222-200000000002i−2i00−2i2i22−2−2−2−2220000000000000000000000002i−2i00−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000
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χ5122-2-2-22-222200002-22-2-2-222-2-2-222-222-2-2-222-20000000000−2i2i002i−2i22−2−2−2−222000000000000000000000000−2i2i002i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000
χ5222-2-2-22-222200002-22-2-2-222-2-2-222-222-2-2-222-20000000000−2i2i002i−2i−2−22222−2−2000000000000000000000000−2i2i002i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000
χ532-222-22-2-2220000-22-222-22-22-2-22-2-22-222-22-2-2000000002-2002-2002−22−22−22−200000000000000000000002-2002-2002−22−22−22−22−22−22−22−200000000000000
χ542-222-22-2-2220000-22-222-22-22-2-22-2-22-222-22-2-2000000002-2002-200−22−22−22−2200000000000000000000002-2002-200−22−22−22−22−22−22−22−2200000000000000
χ552-222-22-2-2220000-22-222-22-22-2-22-2-22-222-22-2-200000000-2200-22002−22−22−22−20000000000000000000000-2200-22002−22−22−22−2−22−22−22−2200000000000000
χ562-222-22-2-2220000-22-222-22-22-2-22-2-22-222-22-2-200000000-2200-2200−22−22−22−220000000000000000000000-2200-2200−22−22−22−222−22−22−22−200000000000000
χ572-22-22-2-22220000-22-22-22-22-2-22-22-22-22-22-22-2000000002i−2i00−2i2i002−22−2−22−2200000000000000000000002i−2i00−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000000000
χ582-22-22-2-22220000-22-22-22-22-2-22-22-22-22-22-22-2000000002i−2i00−2i2i00−22−222−22−200000000000000000000002i−2i00−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000000000
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χ602-22-22-2-22220000-22-22-22-22-2-22-22-22-22-22-22-200000000−2i2i002i−2i00−22−222−22−20000000000000000000000−2i2i002i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000
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χ622-2-22-2-222222-2-22-2-2-2-22-2-2222-2-2222-2-22-2-2222-22-222-2-2000000000000000000000000002-22-2000000000000000000000000-222-2-222-200000000000000
χ632-2-22-2-22222-222-2-2-2-2-22-2-2222-2-2222-2-22-2-222-22-22-2-222000000002-2-222-2-220000000000-22-2200000000000000002-2-222-2-220000000000000000000000
χ642-2-22-2-22222-222-2-2-2-2-22-2-2222-2-2222-2-22-2-222-22-22-2-22200000000-222-2-222-20000000000-22-220000000000000000-222-2-222-20000000000000000000000
χ652-2-22-2-222-12-222-211-2-2-111-122-2-22-1-111-111-1-1-22-2211-1-1000000002-2-222-2-22000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i300000000-111-1-111-10000000000000000−i3i3−i3i300
χ662-2-22-2-222-12-222-211-2-2-111-122-2-22-1-111-111-1-1-22-2211-1-1000000002-2-222-2-22000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i300000000-111-1-111-10000000000000000i3−i3i3−i300
χ672-2-22-2-222-12-222-211-2-2-111-122-2-22-1-111-111-1-1-22-2211-1-100000000-222-2-222-2000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i3000000001-1-111-1-110000000000000000i3−i3i3−i300
χ682-2-22-2-222-12-222-211-2-2-111-122-2-22-1-111-111-1-1-22-2211-1-100000000-222-2-222-2000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i3000000001-1-111-1-110000000000000000−i3i3−i3i300
χ692-2-2-2222-22222-2-2-2-2-2-2-222-2-2222-222-2-2-222-222-2-222-22-2000000000000000000000000002-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ702-2-2-2222-22222-2-2-2-2-2-2-222-2-2222-222-2-2-222-222-2-222-22-2000000000000000000000000002-2-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ712-2-2-2222-222-2-222-2-2-2-2-222-2-2222-222-2-2-222-22-222-2-22-22000000002-2-22-222-20000000000-222-200000000000000002-2-22-222-20000000000000000000000
χ722-2-2-2222-222-2-222-2-2-2-2-222-2-2222-222-2-2-222-22-222-2-22-2200000000-222-22-2-220000000000-222-20000000000000000-222-22-2-220000000000000000000000
χ732-2-2-2222-2-12-2-22211-2-21-1-11-2222-2-1-1111-1-11-1-222-21-11-1000000002-2-22-222-2000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i300000000-111-11-1-110000000000000000−i3i3i3−i300
χ742-2-2-2222-2-12-2-22211-2-21-1-11-2222-2-1-1111-1-11-1-222-21-11-1000000002-2-22-222-2000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i300000000-111-11-1-110000000000000000i3−i3−i3i300
χ752-2-2-2222-2-12-2-22211-2-21-1-11-2222-2-1-1111-1-11-1-222-21-11-100000000-222-22-2-22000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i3000000001-1-11-111-10000000000000000i3−i3−i3i300
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χ1154-4-4-4444-4-2-2-4-44422222-2-222-2-2-22-21-1-1-111-112-2-222-22-20000000000000000000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000
χ1164-4-4-4444-4-2-2-4-44422222-2-222-2-2-22-21-1-1-111-112-2-222-22-200000000000000000000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000
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χ11888-8-8-88-88-4-40000-44-4444-4-4444-4-4422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-888-88-8-8-4-400004-44-4-44-44-444-4442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).