Finite Group Databasebeta

← Group #11774033

Character table — Group #11774033

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12222233444444446666666666121212123446666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222446666888812121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-1-1-1-1-11111111111-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111-1-1-1-1-1-11111111111-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111-1-1-1-1-1-11111111111-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111ii−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111-1-1-1-1-1-11111111111-1-1-1-111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111−i−iii-1-111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-111-1-1-1-11111111111-1-1-1-11-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-111-1-1-1-11111111111-1-1-1-11-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-111-1-1-1-11111111111-1-1-1-11-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-111-1-1-1-11111111111-1-1-1-11-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−ii−ii1111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-11111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-11111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-11111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1111-1-1111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-111-111-1-1-1-11111-1-111-1-1-1-111
χ172222222-122222222-1-1-1-1222-1-1-12222-12222-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-10000000000000000
χ182222222-122222222-1-1-1-1222-1-1-12222-12222-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000011110000000000000000
χ192222222-122-2-2-2-2-2-2-1-1-1-1222-1-1-1-2-2-2-2-12-222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111111111112-22-2-1-1110000-1-1110000000000000000
χ202222222-122-2-2-2-2-2-2-1-1-1-1222-1-1-1-2-2-2-2-12-222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111111111111-22-2211-1-1000011-1-10000000000000000
χ212222222-1-2-222-2-2-2-2-1-1-1-1222-1-1-1-2-2-2-2-1-2222-1-1-1-1-1-1-1-2-2-2-211112222-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-2-1-1-1-1000011110000000000000000
χ222222222-1-2-222-2-2-2-2-1-1-1-1222-1-1-1-2-2-2-2-1-2222-1-1-1-1-1-1-1-2-2-2-211112222-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-22211110000-1-1-1-10000000000000000
χ232222222-1-2-2-2-22222-1-1-1-1222-1-1-12222-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-222-1-1-1-111111111111111111111-1-1-1-1-1-1-1-12-2-22-1-111000011-1-10000000000000000
χ242222222-1-2-2-2-22222-1-1-1-1222-1-1-12222-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-222-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-222-211-1-10000-1-1110000000000000000
χ25222222-12222222222222-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100000000
χ26222222-12222222222222-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100000000
χ27222222-1222-2-2-2-2-2-22222-1-1-12221111-12-2-1-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000002i2i−2i−2i0000−i−i−i−iiiii00000000
χ28222222-1222-2-2-2-2-2-22222-1-1-12221111-12-2-1-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000−2i−2i2i2i0000iiii−i−i−i−i00000000
χ29222222-12-2-222-2-2-2-22222-1-1-12221111-1-22-1-1-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-111-2-2-2-2222211111111-1-1-1-1-1-1-1-111111111000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ30222222-12-2-222-2-2-2-22222-1-1-12221111-1-22-1-1-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-111-2-2-2-2222211111111-1-1-1-1-1-1-1-11111111100000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ31222222-12-2-2-2-222222222-1-1-1222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-11111-2-2-2-21111-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000002-2-220000-1-11111-1-100000000
χ32222222-12-2-2-2-222222222-1-1-1222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-11111-2-2-2-21111-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000-222-2000011-1-1-1-11100000000
χ332222-2-2222222-2-222-2-2-2-2222222-2-2-2-22-2-2-2-2-2-2-2-222222-2-222-2-222-2-22222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ342222-2-22222-2-222-2-2-2-2-2-222222222222-22-2-2-2-2-2-222222-2-222-2-2-2-222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ352222-2-222-2-22222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2222-2-222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ362222-2-222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2222-2-2-2-2-2-2222-2-222-2-222-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ372222-2-22-12222-2-2221111222-1-1-1-2-2-2-2-1-2-2-2-21111-1-1-122-2-2-1-11122-2-222-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111110000−i3i3−i3i30000−i3i3−i3i30000000000000000
χ382222-2-22-12222-2-2221111222-1-1-1-2-2-2-2-1-2-2-2-21111-1-1-122-2-2-1-11122-2-222-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111110000i3−i3i3−i30000i3−i3i3−i30000000000000000
χ392222-2-22-122-2-222-2-21111222-1-1-12222-1-22-2-21111-1-1-122-2-2-1-111-2-222-2-211-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-10000−i3i3i3−i30000−i3i3i3−i30000000000000000
χ402222-2-22-122-2-222-2-21111222-1-1-12222-1-22-2-21111-1-1-122-2-2-1-111-2-222-2-211-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-10000i3−i3−i3i30000i3−i3−i3i30000000000000000
χ412222-2-22-1-2-22222-2-21111222-1-1-12222-12-2-2-21111-1-1-1-2-22211-1-122-2-2-2-211-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-10000−i3i3−i3i30000i3−i3i3−i30000000000000000
χ422222-2-22-1-2-22222-2-21111222-1-1-12222-12-2-2-21111-1-1-1-2-22211-1-122-2-2-2-211-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-10000i3−i3i3−i30000−i3i3−i3i30000000000000000
χ432222-2-22-1-2-2-2-2-2-2221111222-1-1-1-2-2-2-2-122-2-21111-1-1-1-2-22211-1-1-2-22222-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111110000−i3i3i3−i30000i3−i3−i3i30000000000000000
χ442222-2-22-1-2-2-2-2-2-2221111222-1-1-1-2-2-2-2-122-2-21111-1-1-1-2-22211-1-1-2-22222-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111110000i3−i3−i3i30000−i3i3i3−i30000000000000000
χ452222-2-2-122222-2-222-2-2-2-2-1-1-12221111-1-2-2111111-1-1-1-1-11122-2-2-1-111-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000003−33−33−33−300000000
χ462222-2-2-122222-2-222-2-2-2-2-1-1-12221111-1-2-2111111-1-1-1-1-11122-2-2-1-111-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000−33−33−33−3300000000
χ472222-2-2-1222-2-222-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-22111111-1-1-1-1-11122-2-211-1-111-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-10000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ482222-2-2-1222-2-222-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-22111111-1-1-1-1-11122-2-211-1-111-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-10000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ492222-2-2-12-2-22222-2-2-2-2-2-2-1-1-1222-1-1-1-1-12-2111111-1-1-111-1-1-2-222-1-11111-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ502222-2-2-12-2-22222-2-2-2-2-2-2-1-1-1222-1-1-1-1-12-2111111-1-1-111-1-1-2-222-1-11111-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ512222-2-2-12-2-2-2-2-2-222-2-2-2-2-1-1-12221111-122111111-1-1-111-1-1-2-22211-1-1-1-122-2-2-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000003−3−33−333−300000000
χ522222-2-2-12-2-2-2-2-2-222-2-2-2-2-1-1-12221111-122111111-1-1-111-1-1-2-22211-1-1-1-122-2-2-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000−333−33−3−3300000000
χ5322-2-22-22200002i−2i2i−2i22-2-22-2-22-2-22i2i−2i−2i2002-222-2-22-2-20000000000002i−2i2i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300
χ5422-2-22-22200002i−2i2i−2i22-2-22-2-22-2-22i2i−2i−2i2002-222-2-22-2-20000000000002i−2i2i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300
χ5522-2-22-2220000−2i2i−2i2i22-2-22-2-22-2-2−2i−2i2i2i2002-222-2-22-2-2000000000000−2i2i−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300
χ5622-2-22-2220000−2i2i−2i2i22-2-22-2-22-2-2−2i−2i2i2i2002-222-2-22-2-2000000000000−2i2i−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300
χ5722-2-2-222200002i−2i−2i2i-2-2222-2-22-2-22i2i−2i−2i200-22-2-2222-2-2000000000000−2i2i−2i2i2i−2i00000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13
χ5822-2-2-222200002i−2i−2i2i-2-2222-2-22-2-22i2i−2i−2i200-22-2-2222-2-2000000000000−2i2i−2i2i2i−2i00000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ13
χ5922-2-2-22220000−2i2i2i−2i-2-2222-2-22-2-2−2i−2i2i2i200-22-2-2222-2-20000000000002i−2i2i−2i−2i2i000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ23
χ6022-2-2-22220000−2i2i2i−2i-2-2222-2-22-2-2−2i−2i2i2i200-22-2-2222-2-20000000000002i−2i2i−2i−2i2i000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000002ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ23
χ61444444-2-244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000000000000
χ62444444-2-244-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2222214-4-2-21111111-2-2-2-2-2-2-2-22222222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ63444444-2-2-4-444-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-44-2-2111111122222222-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ64444444-2-2-4-4-4-44444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-2-21111111222222222222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ654444-4-4-2-24444-4-4442222-2-2-2-2-2-222221-4-422-1-1-1-1111-2-222-2-222-2-222-2-2-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.