Finite Group Databasebeta

← Group #11785351

Character table — Group #11785351

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122222223344446666666666666636666666121212121212121222224444888888884412121212121212121212121212121212121212126666121212122424242424242424888888884444121212121212121244
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
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
χ9111-11-1-1-1111-1-1111-1-111-1-11-1-11-1-1111-1-1-11-11-1-111-1-1111-1-111-1-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−i
χ10111-11-1-1-1111-1-1111-1-111-1-11-1-11-1-1111-1-1-11-11-1-111-1-1111-1-111-1-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii
χ11111-11-1-1-1111-1-1111-1-111-1-11-1-11-1-1111-1-1-11-11-1-111-1-1111-1-111-1-1-1-1-1-11111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-111-1-1-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii−ii
χ12111-11-1-1-1111-1-1111-1-111-1-11-1-11-1-1111-1-1-11-11-1-111-1-1111-1-111-1-1-1-1-1-11111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-111-1-1-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−ii−i
χ13111-11-1-1-1111-1-1111-1-111-1-11-1-11-1-1111-1-1-11-11-1-111-1-11-1-111-1-1111111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−ii
χ14111-11-1-1-1111-1-1111-1-111-1-11-1-11-1-1111-1-1-11-11-1-111-1-11-1-111-1-1111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i
χ15111-11-1-1-1111-1-1111-1-111-1-11-1-11-1-1111-1-1-11-11-1-111-1-11-1-111-1-111-1-1-1-11111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111-1-111-1-1-1-111111111-1-1-1-1−ii−ii−i−iii−i−iiii−i
χ16111-11-1-1-1111-1-1111-1-111-1-11-1-11-1-1111-1-1-11-11-1-111-1-11-1-111-1-111-1-1-1-11111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111-1-111-1-1-1-111111111-1-1-1-1i−ii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-200000000-2-2-2-22222000000000000000000000000000000
χ19222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ22222222222-122222222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ23222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-22222-2-2-2-2000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-1-1-1-1111100000000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-22222-2-2-2-2000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-1-1-1-1111100000000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-22222000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i31111-1-1-1-100000000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-22222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-22222000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i31111-1-1-1-100000000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2822222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2922222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ3022222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-1-1-12222-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ31222-22-2-2-222-222-222-2-222-2-22-2-22-2-2222-2-2-22-2-222-2-222-222-2-2-2-222000000000000000000-2-2220000000022-2-2-2-222000000000000000000000000000000
χ32222-22-2-2-222-222-222-2-222-2-22-2-22-2-2222-2-2-22-2-222-2-222-2-2-22222-2-2000000000000000000-2-22200000000-2-22222-2-2000000000000000000000000000000
χ33222-22-2-2-22-12-2-2222-2-2-1-1112-21-1-21-1-1-1111-112-2-2-1-111222-2-222-2-2000000002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-1-111-1-11100000000000000002i−2i00−i−iii000000
χ34222-22-2-2-22-12-2-2222-2-2-1-1112-21-1-21-1-1-1111-112-2-2-1-111222-2-222-2-200000000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-1-111-1-1110000000000000000−2i2i00ii−i−i000000
χ35222-22-2-2-22-12-2-2222-2-2-1-1112-21-1-21-1-1-1111-112-2-2-1-1112-2-222-2-222000000002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii11-1-111-1-10000000000000000−2i2i00ii−i−i000000
χ36222-22-2-2-22-12-2-2222-2-2-1-1112-21-1-21-1-1-1111-112-2-2-1-1112-2-222-2-22200000000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i11-1-111-1-100000000000000002i−2i00−i−iii000000
χ37222-22-2-2-22-1-222-222-2-2-1-1112-21-1-21-1-1-1111-11-22211-1-1-222-2-2-2-2220000000000003−300−3311-1-133−3−3−3−333-1-11111-1-1000000000000000000003−3−33000000
χ38222-22-2-2-22-1-222-222-2-2-1-1112-21-1-21-1-1-1111-11-22211-1-1-222-2-2-2-222000000000000−33003−311-1-1−3−33333−3−3-1-11111-1-100000000000000000000−333−3000000
χ39222-22-2-2-22-1-222-222-2-2-1-1112-21-1-21-1-1-1111-11-22211-1-1-2-2-22222-2-20000000000003−300−3311-1-133−3−3−3−33311-1-1-1-11100000000000000000000−333−3000000
χ40222-22-2-2-22-1-222-222-2-2-1-1112-21-1-21-1-1-1111-11-22211-1-1-2-2-22222-2-2000000000000−33003−311-1-1−3−33333−3−311-1-1-1-111000000000000000000003−3−33000000
χ41222-22-2-2-2-122-2-22-1-11122-2-2-11-221-2-1-1-1111-11-11122-2-2-1000000002222-2-2-2-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00000000-1-1-1-1111100000000002i−2i0000−i−iii00
χ42222-22-2-2-2-122-2-22-1-11122-2-2-11-221-2-1-1-1111-11-11122-2-2-1000000002222-2-2-2-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00000000-1-1-1-111110000000000−2i2i0000ii−i−i00
χ43222-22-2-2-2-122-2-22-1-11122-2-2-11-221-2-1-1-1111-11-11122-2-2-100000000-2-2-2-222222i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii000000001111-1-1-1-10000000000−2i2i0000ii−i−i00
χ44222-22-2-2-2-122-2-22-1-11122-2-2-11-221-2-1-1-1111-11-11122-2-2-100000000-2-2-2-22222−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i000000001111-1-1-1-100000000002i−2i0000−i−iii00
χ4522-22-22-2-22200002-22-22-2-2-2-222-2-2222-22-2-2-22000000002-22-20000−i2−i2i2i2−i2−i2i2i200000000000000000000002-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000
χ4622-22-22-2-22200002-22-22-2-2-2-222-2-2222-22-2-2-22000000002-22-20000i2i2−i2−i2i2i2−i2−i200000000000000000000002-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000
χ4722-22-22-2-22200002-22-22-2-2-2-222-2-2222-22-2-2-2200000000-22-220000−i2−i2i2i2−i2−i2i2i20000000000000000000000-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000
χ4822-22-22-2-22200002-22-22-2-2-2-222-2-2222-22-2-2-2200000000-22-220000i2i2−i2−i2i2i2−i2−i20000000000000000000000-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000
χ4922-2-2-2-2222200002-2-222-222-2-2-2-22-222-2-222-2-2000000002-2-220000−i2−i2i2i2i2i2−i2−i200000000000000000000002-2-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000
χ5022-2-2-2-2222200002-2-222-222-2-2-2-22-222-2-222-2-2000000002-2-220000i2i2−i2−i2−i2−i2i2i200000000000000000000002-2-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000
χ5122-2-2-2-2222200002-2-222-222-2-2-2-22-222-2-222-2-200000000-222-20000−i2−i2i2i2i2i2−i2−i20000000000000000000000-222-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000
χ5222-2-2-2-2222200002-2-222-222-2-2-2-22-222-2-222-2-200000000-222-20000i2i2−i2−i2−i2−i2i2i20000000000000000000000-222-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000
χ532-222-2-2-22220000-22-22-222-2-222-2-2-22-22-22-2-220000000000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2000000000000000000000000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000000000
χ542-222-2-2-22220000-22-22-222-2-222-2-2-22-22-22-2-220000000000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2000000000000000000000000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000000000
χ552-222-2-2-22220000-22-22-222-2-222-2-2-22-22-22-2-22000000000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200000000000000000000000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000000000
χ562-222-2-2-22220000-22-22-222-2-222-2-2-22-22-22-2-22000000000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i200000000000000000000000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i22−22−22−22−200000000000000
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χ612-2-222-22-22222-2-2-2-2-2-2-2-2-2222222-22-2-2-2-222222-22-22-2-2000000000000000000000000002-22-20000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ622-2-222-22-22222-2-2-2-2-2-2-2-2-2222222-22-2-2-2-222222-22-22-2-2000000000000000000000000002-22-2000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ632-2-222-22-222-2-222-2-2-2-2-2-2-2222222-22-2-2-2-2222-2-22-22-222000000002-2-222-2-220000000000-22-2200000000000000002-2-222-2-220000000000000000000000
χ642-2-222-22-222-2-222-2-2-2-2-2-2-2222222-22-2-2-2-2222-2-22-22-22200000000-222-2-222-20000000000-22-220000000000000000-222-2-222-20000000000000000000000
χ652-2-222-22-2-12-2-2221111-2-2-22-1-122-1-2-11111-1-1-111-1-22-22-1000000002-2-222-2-2200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300000000-111-1-111-10000000000000000−i3i3−i3i300
χ662-2-222-22-2-12-2-2221111-2-2-22-1-122-1-2-11111-1-1-111-1-22-22-1000000002-2-222-2-2200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i300000000-111-1-111-10000000000000000i3−i3i3−i300
χ672-2-222-22-2-12-2-2221111-2-2-22-1-122-1-2-11111-1-1-111-1-22-22-100000000-222-2-222-200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i3000000001-1-111-1-110000000000000000i3−i3i3−i300
χ682-2-222-22-2-12-2-2221111-2-2-22-1-122-1-2-11111-1-1-111-1-22-22-100000000-222-2-222-200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i3000000001-1-111-1-110000000000000000−i3i3−i3i300
χ692-2-2-222-22222-22-2-2-222-2-22-22-2-22-222-2-222-22-22-222-2-22-2000000000000000000000000002-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ702-2-2-222-22222-22-2-2-222-2-22-22-2-22-222-2-222-22-22-222-2-22-2000000000000000000000000002-2-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ712-2-2-222-2222-22-22-2-222-2-22-22-2-22-222-2-222-22-2-22-2-222-22000000002-2-22-222-20000000000-222-200000000000000002-2-22-222-20000000000000000000000
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χ732-2-2-222-22-12-22-2211-1-1-2-22-2-11-2212-111-1-11-111-11-222-2-1000000002-2-22-222-2003−300−33001-1-113−33−3−33−3300000000-111-11-1-1100000000000000003−3−3300
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χ1144-4-4-444-44-2-24-44-422-2-222-22-222-22-21-1-111-11-1-22-2-222-22000000000000000000000000001-1-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
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χ1198-888-8-8-88-4-400004-44-44-4-444-4-44442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).