Finite Group Databasebeta

← Group #72222794

Character table — Group #72222794

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1122222224444444444446666666688888888888888888812121212121212121212161616161616161616161616161616242424242424242424242424242424242424242424323232323636363648484848484848484848727272727272
order122334466366688121212122424224466882444612121616242424242448484848446888121224246612121212121224484848484848244444881212161616162424244848484861212124488612121212122424484822881616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111-1-1111111111111111111111-1-111-1-1-1-111-1-11-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1111-1-111111-1-1-1-111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1111-1-111111-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ511111111111111111111111111111-1-111111-1-111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-111111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ811111111111111111111111111111-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-111-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ9111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1111111111111111-1-111-1-11111-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ10111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ11111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ12111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111111-1-11111-1-11111-1-111-1-111-1-1
χ13111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ14111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1
χ15111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1
χ16111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ1711-1111-11111-1-1-11-111-1-1-11-11-111-1-11-1i−i-1-11i−i1-1-1-11ii−i−ii−i-11i−i1-1-1-111-1-1i−ii−i1iii−i−i−i1-11-1i−ii−ii−ii−i1-11i−iii−i−i1-1i−ii−ii−i1-11-1i−ii−i1-11-1i−i1-1
χ1811-1111-11111-1-1-11-111-1-1-11-11-111-1-11-1i−i-1-11i−i1-1-1-11ii−i−i−ii-11−ii1-1-1-111-1-1i−ii−i1iii−i−i−i1-1-11i−i−ii−iii−i-111−iiii−i−i1-1i−i−ii−ii1-1-11i−i−ii-11-11−ii-11
χ1911-1111-11111-1-1-11-111-1-1-11-11-111-1-11-1−ii-1-11−ii1-1-1-11−i−iiii−i-11i−i1-1-1-111-1-1−ii−ii1−i−i−iiii1-1-11−iii−ii−i−ii-111i−i−i−iii1-1−iii−ii−i1-1-11−iii−i-11-11i−i-11
χ2011-1111-11111-1-1-11-111-1-1-11-11-111-1-11-1−ii-1-11−ii1-1-1-11−i−iii−ii-11−ii1-1-1-111-1-1−ii−ii1−i−i−iiii1-11-1−ii−ii−ii−ii1-11−ii−i−iii1-1−ii−ii−ii1-11-1−ii−ii1-11-1−ii1-1
χ2111-1111-11111-1-1-11-111-1-1-11-11-111-1-1-11i−i-1-11−ii1-1-1-11−i−iiii−i-11i−i1-1-1-1-1-111i−ii−i1−i−i−iiii-111-1i−i−iii−i−ii-111i−i−i−iii-11i−ii−ii−i-111-1i−i−ii-111-1−ii-11
χ2211-1111-11111-1-1-11-111-1-1-11-11-111-1-1-11i−i-1-11−ii1-1-1-11−i−iii−ii-11−ii1-1-1-1-1-111i−ii−i1−i−i−iiii-11-11i−ii−i−ii−ii1-11−ii−i−iii-11i−i−ii−ii-11-11i−ii−i1-1-11i−i1-1
χ2311-1111-11111-1-1-11-111-1-1-11-11-111-1-1-11−ii-1-11i−i1-1-1-11ii−i−ii−i-11i−i1-1-1-1-1-111−ii−ii1iii−i−i−i-11-11−ii−iii−ii−i1-11i−iii−i−i-11−iii−ii−i-11-11−ii−ii1-1-11−ii1-1
χ2411-1111-11111-1-1-11-111-1-1-11-11-111-1-1-11−ii-1-11i−i1-1-1-11ii−i−i−ii-11−ii1-1-1-1-1-111−ii−ii1iii−i−i−i-111-1−iii−i−iii−i-111−iiii−i−i-11−ii−ii−ii-111-1−iii−i-111-1i−i-11
χ2511-1111-11111-1-1-11-111-1-1-1-11-11-1-1111-1i−i-1-11i−i1-1-1-11ii−i−ii−i1-1i−i-111111-1-1i−ii−i1iii−i−i−i-111-1−iii−ii−i−ii1-1-1i−i−i−iii1-1i−i−ii−ii-111-1−iii−i1-1-11−ii-11
χ2611-1111-11111-1-1-11-111-1-1-1-11-11-1-1111-1i−i-1-11i−i1-1-1-11ii−i−i−ii1-1−ii-111111-1-1i−ii−i1iii−i−i−i-11-11−ii−ii−ii−ii-11-1−ii−i−iii1-1i−ii−ii−i-11-11−ii−ii-111-1i−i1-1
χ2711-1111-11111-1-1-11-111-1-1-1-11-11-1-1111-1−ii-1-11−ii1-1-1-11−i−iiii−i1-1i−i-111111-1-1−ii−ii1−i−i−iiii-11-11i−ii−ii−ii−i-11-1i−iii−i−i1-1−ii−ii−ii-11-11i−ii−i-111-1−ii1-1
χ2811-1111-11111-1-1-11-111-1-1-1-11-11-1-1111-1−ii-1-11−ii1-1-1-11−i−iii−ii1-1−ii-111111-1-1−ii−ii1−i−i−iiii-111-1i−i−ii−iii−i1-1-1−iiii−i−i1-1−iii−ii−i-111-1i−i−ii1-1-11i−i-11
χ2911-1111-11111-1-1-11-111-1-1-1-11-11-1-111-11i−i-1-11−ii1-1-1-11−i−iiii−i1-1i−i-1111-1-111i−ii−i1−i−i−iiii1-11-1−ii−iii−ii−i-11-1i−iii−i−i-11i−i−ii−ii1-11-1−ii−ii-11-11i−i1-1
χ3011-1111-11111-1-1-11-111-1-1-1-11-11-1-111-11i−i-1-11−ii1-1-1-11−i−iii−ii1-1−ii-1111-1-111i−ii−i1−i−i−iiii1-1-11−iii−i−iii−i1-1-1−iiii−i−i-11i−ii−ii−i1-1-11−iii−i1-11-1−ii-11
χ3111-1111-11111-1-1-11-111-1-1-1-11-11-1-111-11−ii-1-11i−i1-1-1-11ii−i−ii−i1-1i−i-1111-1-111−ii−ii1iii−i−i−i1-1-11i−i−iii−i−ii1-1-1i−i−i−iii-11−ii−ii−ii1-1-11i−i−ii1-11-1i−i-11
χ3211-1111-11111-1-1-11-111-1-1-1-11-11-1-111-11−ii-1-11i−i1-1-1-11ii−i−i−ii1-1−ii-1111-1-111−ii−ii1iii−i−i−i1-11-1i−ii−i−ii−ii-11-1−ii−i−iii-11−iii−ii−i1-11-1i−ii−i-11-11−ii1-1
χ332222222222222-2-22222-2-2222222-2-2000022200-2-2-2-2-20000222-2-2-222-2-200000000-200000000000000220000-2-2-20000000022-2-20000000000000000
χ342222222222222-2-22222-2-2222222-2-2000022200-2-2-2-2-20000-2-22-22222-2-200000000-200000000000000-2-20000-22200000000-2-2220000000000000000
χ352222222222222-2-22222-2-2-2-2-2-2-2-222000022200-2-2-2-2-2000022-22-2-2-2-22200000000-2000000000000002200002-2-200000000-2-2220000000000000000
χ362222222222222-2-22222-2-2-2-2-2-2-2-222000022200-2-2-2-2-20000-2-2-2222-2-22200000000-200000000000000-2-200002220000000022-2-20000000000000000
χ372222-122-12-1-12-122-12-12-1-12222-1-1222222-1-1-122-12-1-12-1-1-1-100-1200-1-1-1-12-1-1222-1-1-12-1-12-1-122002200002200-100-1-1-1-1-1-1-1-10000-1-100-1-10000000000
χ382222-122-12-1-12-122-12-12-1-12222-1-12222-2-2-1-1-1-2-2-12-1-12111100-1200-1-1-1-12-1-12-2-211-1-211-2112200-2-20000-2-200-1001111-1-1110000-1-100110000000000
χ392222-122-12-1-12-122-12-12-1-12222-1-122-2-222-1-1-1-2-2-12-1-12111100-1200-1-1-1-1-211-222-1-1-1-211-211-2-200220000-2-200-100111111-1-100001100-1-10000000000
χ402222-122-12-1-12-122-12-12-1-12222-1-122-2-2-2-2-1-1-122-12-1-12-1-1-1-100-1200-1-1-1-1-211-2-2-211-12-1-12-1-1-2-200-2-200002200-100-1-1-1-1111100001100110000000000
χ412222-122-12-1-12-122-12-12-1-1-2-2-2-211-2-22222-1-1-122-12-1-12-1-1-1-1001-20011112-1-1222-1-1-12-1-12-1-1-2-200-2-20000-2-2001001111-1-1-1-100001100110000000000
χ422222-122-12-1-12-122-12-12-1-1-2-2-2-211-2-222-2-2-1-1-1-2-2-12-1-121111001-20011112-1-12-2-211-1-211-211-2-2002200002200100-1-1-1-1-1-11100001100-1-10000000000
χ432222-122-12-1-12-122-12-12-1-1-2-2-2-211-2-2-2-222-1-1-1-2-2-12-1-121111001-2001111-211-222-1-1-1-211-2112200-2-200002200100-1-1-1-111-1-10000-1-100110000000000
χ442222-122-12-1-12-122-12-12-1-1-2-2-2-211-2-2-2-2-2-2-1-1-122-12-1-12-1-1-1-1001-2001111-211-2-2-211-12-1-12-1-12200220000-2-200100111111110000-1-100-1-10000000000
χ45222-12222-1-1-1-12222-12-122000000002222-1-1-1222-1-1-1-122222200220000-122-1-1-122-1-1-1-1-1-1-100220022-1-100220-1-10000-1-1-1-1000000-1-100-1-1-1-1000000
χ46222-12222-1-1-1-12222-12-122000000002222-1-1-1222-1-1-1-12222-2-200-2-20000-122-1-1-122-1-1-1-1-1-1-100-2-200-2-21100-2-20110000-1-1-1-100000011001111000000
χ47222-12222-1-1-1-12222-12-1220000000022-2-2-1-1-1-2-22-1-1-1-1-2-2-2-22200220000-122-111-2-2-111111100-2-20022-1-100-2-20-1-10000-1-1110000001100-1-111000000
χ48222-12222-1-1-1-12222-12-1220000000022-2-2-1-1-1-2-22-1-1-1-1-2-2-2-2-2-200-2-20000-122-111-2-2-1111111002200-2-21100220110000-1-111000000-1-10011-1-1000000
χ49222-12222-1-1-1-12222-12-12200000000-2-222-1-1-1-2-22-1-1-1-1-2-2-2-222002200001-2-21-1-122-1111111002200-2-2-1-100-2-20-1-1000011-1-1000000-1-1001111000000
χ50222-12222-1-1-1-12222-12-12200000000-2-222-1-1-1-2-22-1-1-1-1-2-2-2-2-2-200-2-200001-2-21-1-122-111111100-2-20022110022011000011-1-10000001100-1-1-1-1000000
χ51222-12222-1-1-1-12222-12-12200000000-2-2-2-2-1-1-1222-1-1-1-1222222002200001-2-2111-2-2-1-1-1-1-1-1-100-2-200-2-2-1-100220-1-100001111000000110011-1-1000000
χ52222-12222-1-1-1-12222-12-12200000000-2-2-2-2-1-1-1222-1-1-1-12222-2-200-2-200001-2-2111-2-2-1-1-1-1-1-1-1002200221100-2-201100001111000000-1-100-1-111000000
χ5322-2222-22222-2-22-2-222-2222-22-222220000-2-2200-2222-200002i−2i-2-2−2i2i2-22200000000-2000000000000002i−2i0000-2−2i2i000000002i−2i−2i2i0000000000000000
χ5422-2222-22222-2-22-2-222-2222-22-222220000-2-2200-2222-20000−2i2i-2-22i−2i2-22200000000-200000000000000−2i2i0000-22i−2i00000000−2i2i2i−2i0000000000000000
χ5522-2222-22222-2-22-2-222-222-22-22-2-2-2-20000-2-2200-2222-200002i−2i22−2i2i-22-2-200000000-2000000000000002i−2i00002−2i2i00000000−2i2i2i−2i0000000000000000
χ5622-2222-22222-2-22-2-222-222-22-22-2-2-2-20000-2-2200-2222-20000−2i2i222i−2i-22-2-200000000-200000000000000−2i2i000022i−2i000000002i−2i−2i2i0000000000000000
χ5722-22-12-2-12-1-1-21-2212-1-2112-22-2-1-1-2-22-22i−2i11-12i−2i-1-2112−i−iii001200-11112-11-22i−2i−ii-12i−i−i−2iii2-2002i−2i00002i−2i00-100−i−iii-11−ii0000-1100−ii0000000000
χ5822-22-12-2-12-1-1-21-2212-1-2112-22-2-1-1-2-22-2−2i2i11-1−2i2i-1-2112ii−i−i001200-11112-11-2−2i2ii−i-1−2iii2i−i−i2-200−2i2i0000−2i2i00-100ii−i−i-11i−i0000-1100i−i0000000000
χ5922-22-12-2-12-1-1-21-2212-1-2112-22-2-1-1-2-2-222i−2i11-1−2i2i-1-2112ii−i−i001200-1111-21-122i−2i−ii-1−2iii2i−i−i-22002i−2i0000−2i2i00-100ii−i−i1-1−ii00001-100−ii0000000000
χ6022-22-12-2-12-1-1-21-2212-1-2112-22-2-1-1-2-2-22−2i2i11-12i−2i-1-2112−i−iii001200-1111-21-12−2i2ii−i-12i−i−i−2iii-2200−2i2i00002i−2i00-100−i−iii1-1i−i00001-100i−i0000000000
χ6122-22-12-2-12-1-1-21-2212-1-211-22-2211222-22i−2i11-12i−2i-1-2112−i−iii00-1-2001-1-1-12-11-22i−2i−ii-12i−i−i−2iii-2200−2i2i0000−2i2i00100ii−i−i-11−ii00001-100i−i0000000000
χ6222-22-12-2-12-1-1-21-2212-1-211-22-2211222-2−2i2i11-1−2i2i-1-2112ii−i−i00-1-2001-1-1-12-11-2−2i2ii−i-1−2iii2i−i−i-22002i−2i00002i−2i00100−i−iii-11i−i00001-100−ii0000000000
χ6322-22-12-2-12-1-1-21-2212-1-211-22-221122-222i−2i11-1−2i2i-1-2112ii−i−i00-1-2001-1-1-1-21-122i−2i−ii-1−2iii2i−i−i2-200−2i2i00002i−2i00100−i−iii1-1−ii0000-1100i−i0000000000
χ6422-22-12-2-12-1-1-21-2212-1-211-22-221122-22−2i2i11-12i−2i-1-2112−i−iii00-1-2001-1-1-1-21-12−2i2ii−i-12i−i−i−2iii2-2002i−2i0000−2i2i00100ii−i−i1-1i−i0000-1100−ii0000000000
χ6522-2-122-22-1-1-11-2-22-2-121-2-2000000002-22i−2i11-12i−2i2111-12i2i−2i−2i2i−2i002i−2i0000-12-21−ii2i−2i-1−i−i−iiii002-2002i−2i−ii002-20−ii0000-11−ii000000-1100−ii-11000000
χ6622-2-122-22-1-1-11-2-22-2-121-2-2000000002-22i−2i11-12i−2i2111-12i2i−2i−2i−2i2i00−2i2i0000-12-21−ii2i−2i-1−i−i−iiii00-2200−2i2ii−i00-220i−i0000-11−ii0000001-100i−i1-1000000
χ6722-2-122-22-1-1-11-2-22-2-121-2-2000000002-2−2i2i11-1−2i2i2111-1−2i−2i2i2i2i−2i002i−2i0000-12-21i−i−2i2i-1iii−i−i−i00-22002i−2i−ii00-220−ii0000-11i−i0000001-100−ii1-1000000
χ6822-2-122-22-1-1-11-2-22-2-121-2-2000000002-2−2i2i11-1−2i2i2111-1−2i−2i2i2i−2i2i00−2i2i0000-12-21i−i−2i2i-1iii−i−i−i002-200−2i2ii−i002-20i−i0000-11i−i000000-1100i−i-11000000
χ6922-2-122-22-1-1-11-2-22-2-121-2-200000000-222i−2i11-1−2i2i2111-1−2i−2i2i2i2i−2i002i−2i00001-22-1−ii2i−2i-1iii−i−i−i002-200−2i2i−ii00-220−ii00001-1−ii000000-1100i−i1-1000000
χ7022-2-122-22-1-1-11-2-22-2-121-2-200000000-222i−2i11-1−2i2i2111-1−2i−2i2i2i−2i2i00−2i2i00001-22-1−ii2i−2i-1iii−i−i−i00-22002i−2ii−i002-20i−i00001-1−ii0000001-100−ii-11000000
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Here i is the imaginary unit (i² = −1).