Finite Group Databasebeta

← Group #72222838

Character table — Group #72222838

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11222222222333344444444444444444666666666666668888888888888888888991212121212121212121212121212121212121212161616161616161616161616161818181818242424242424242424242424242424242424323232323636363636484848484848484872727272
order122334466884444366681212121216161616242424242222448888121212122444612122424242448484848484848482266668812121616161616161616242424246612121212121224484848482448822444444242448484848484848486121212816161616661212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111111111-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111-1-11111111111111111111-1-11-111-1-111-1-11111111111111111111-1-111-1-11-11-11111-1-1-1-111-1-11111111111111-1-1-1-1-11-11-111-1-11-11111-1-1-1-11111-1-1-1-1-11-11-111-1-1-1-1-1-1
χ61111111111111-1-11111111111111111111-1-11-111-1-111-1-1-1-1-1-1111111111111111-1-111-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-11-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111
χ71111111111111-1-1111111111-1-1-1-1111111-1-11-111-1-111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-11-11-1-1-1111-1-1-1-1-1111111-1-1-111111-11-1-1-111-1-111
χ81111111111111-1-1111111111-1-1-1-1111111-1-11-111-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1111-1-11-1-1-1-1-11111-1-111-11111-11-1111-1-111-1-1
χ911111111111-1-11111111111111111111-1-111-11-1-111-1-1111111111111111111111-1-1-1-111-11-11-1-1-1-11111-1-1111111111111111-1-1-1-1-1-11-11-1-111-11-1-1-1-111111111-1-1-1-1-1-11-11-1-111-1-1-1-1
χ1011111111111-1-11111111111111111111-1-111-11-1-111-1-111-1-1-1-1111111111111111-1-1-1-111-11-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-11-11-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-111-1-11111
χ1111111111111-1-111111111111-1-1-1-11111-1-111-11-1-111-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-11-111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1111-1-1-111111-1-1-1-111-1-1-11111-11-1111-1-1-1-111
χ1211111111111-1-111111111111-1-1-1-11111-1-111-11-1-111-1-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-11-11-1-1-111-111111-1-1-1-1-1-111-111111-11-1-1-11111-1-1
χ1311111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111
χ1411111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ1511111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-11111111111-1-11-1-1-1-1-1-1-1-1111111-1-1
χ1611111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-1-1-111
χ1711-111-1111-1-1111111-1-11-1-111ii−i−i-1-1-1-11-11-1-1-1-1-1-1-111111-1i−i-1-1111-1-1iiii−i−i−i−i111-11-111-1-1ii−i−iii−i−i-1-1-1-111-1-1ii−i−i1ii−i−i-11-1-1-1-1-111i−ii−i11ii−i−iii−i−i1-1i−i1ii−i−i-1-111i−ii−i1-1i−i
χ1811-111-1111-1-1111111-1-11-1-111ii−i−i-1-1-1-11-11-1-1-1-1-1-1-11111-11−ii-1-1111-1-1iiii−i−i−i−i111-11-111-1-1ii−i−iii−i−i-1-1-1-1-1-111−i−iii1ii−i−i-11-1-1-111-1-1−ii−ii11ii−i−iii−i−i-11−ii1ii−i−i11-1-1−ii−ii-11−ii
χ1911-111-1111-1-1111111-1-11-1-111−i−iii-1-1-1-11-11-1-1-1-1-1-1-111111-1−ii-1-1111-1-1−i−i−i−iiiii111-11-111-1-1−i−iii−i−iii-1-1-1-111-1-1−i−iii1−i−iii-11-1-1-1-1-111−ii−ii11−i−iii−i−iii1-1−ii1−i−iii-1-111−ii−ii1-1−ii
χ2011-111-1111-1-1111111-1-11-1-111−i−iii-1-1-1-11-11-1-1-1-1-1-1-11111-11i−i-1-1111-1-1−i−i−i−iiiii111-11-111-1-1−i−iii−i−iii-1-1-1-1-1-111ii−i−i1−i−iii-11-1-1-111-1-1i−ii−i11−i−iii−i−iii-11i−i1−i−iii11-1-1i−ii−i-11i−i
χ2111-111-1111-1-111-1-111-1-11-1-111ii−i−i-1-1-1-11-1-11-11-1-11111-1-11-1i−i-1-1111-1-1iiii−i−i−i−i-1-11-1-111-1-11ii−i−i−i−iii-1-11111-1-1ii−i−i1ii−i−i1-1111-111-1i−i−ii1-1ii−i−i−i−iii1-1i−i-1−i−iii-111-1i−i−ii-11−ii
χ2211-111-1111-1-111-1-111-1-11-1-111ii−i−i-1-1-1-11-1-11-11-1-11111-1-1-11−ii-1-1111-1-1iiii−i−i−i−i-1-11-1-111-1-11ii−i−i−i−iii-1-111-1-111−i−iii1ii−i−i1-11111-1-11−iii−i1-1ii−i−i−i−iii-11−ii-1−i−iii1-1-11−iii−i1-1i−i
χ2311-111-1111-1-111-1-111-1-11-1-111−i−iii-1-1-1-11-1-11-11-1-11111-1-11-1−ii-1-1111-1-1−i−i−i−iiiii-1-11-1-111-1-11−i−iiiii−i−i-1-11111-1-1−i−iii1−i−iii1-1111-111-1−iii−i1-1−i−iiiii−i−i1-1−ii-1ii−i−i-111-1−iii−i-11i−i
χ2411-111-1111-1-111-1-111-1-11-1-111−i−iii-1-1-1-11-1-11-11-1-11111-1-1-11i−i-1-1111-1-1−i−i−i−iiiii-1-11-1-111-1-11−i−iiiii−i−i-1-111-1-111ii−i−i1−i−iii1-11111-1-11i−i−ii1-1−i−iiiii−i−i-11i−i-1ii−i−i1-1-11i−i−ii1-1−ii
χ2511-111-1111-1-1-1-11111-1-11-1-111ii−i−i-1-1-1-1-111-11-111-1-1-1-1111-1i−i-1-1111-1-1iiii−i−i−i−i-1-1-111-1-111-1−i−iiiii−i−i11-1-111-1-1ii−i−i1ii−i−i1-11111-1-11−iii−i-11−i−iiiii−i−i1-1i−i-1−i−iii1-1-11−iii−i-11−ii
χ2611-111-1111-1-1-1-11111-1-11-1-111ii−i−i-1-1-1-1-111-11-111-1-1-1-111-11−ii-1-1111-1-1iiii−i−i−i−i-1-1-111-1-111-1−i−iiiii−i−i11-1-1-1-111−i−iii1ii−i−i1-1111-111-1i−i−ii-11−i−iiiii−i−i-11−ii-1−i−iii-111-1i−i−ii1-1i−i
χ2711-111-1111-1-1-1-11111-1-11-1-111−i−iii-1-1-1-1-111-11-111-1-1-1-1111-1−ii-1-1111-1-1−i−i−i−iiiii-1-1-111-1-111-1ii−i−i−i−iii11-1-111-1-1−i−iii1−i−iii1-11111-1-11i−i−ii-11ii−i−i−i−iii1-1−ii-1ii−i−i1-1-11i−i−ii-11i−i
χ2811-111-1111-1-1-1-11111-1-11-1-111−i−iii-1-1-1-1-111-11-111-1-1-1-111-11i−i-1-1111-1-1−i−i−i−iiiii-1-1-111-1-111-1ii−i−i−i−iii11-1-1-1-111ii−i−i1−i−iii1-1111-111-1−iii−i-11ii−i−i−i−iii-11i−i-1ii−i−i-111-1−iii−i1-1−ii
χ2911-111-1111-1-1-1-1-1-111-1-11-1-111ii−i−i-1-1-1-1-11-11111111-1-1-1-11-1i−i-1-1111-1-1iiii−i−i−i−i11-11-11-1-111−i−iii−i−iii111111-1-1ii−i−i1ii−i−i-11-1-1-111-1-1−ii−ii-1-1−i−iii−i−iii1-1i−i1ii−i−i11-1-1−ii−ii1-1i−i
χ3011-111-1111-1-1-1-1-1-111-1-11-1-111ii−i−i-1-1-1-1-11-11111111-1-1-1-1-11−ii-1-1111-1-1iiii−i−i−i−i11-11-11-1-111−i−iii−i−iii1111-1-111−i−iii1ii−i−i-11-1-1-1-1-111i−ii−i-1-1−i−iii−i−iii-11−ii1ii−i−i-1-111i−ii−i-11−ii
χ3111-111-1111-1-1-1-1-1-111-1-11-1-111−i−iii-1-1-1-1-11-11111111-1-1-1-11-1−ii-1-1111-1-1−i−i−i−iiiii11-11-11-1-111ii−i−iii−i−i111111-1-1−i−iii1−i−iii-11-1-1-111-1-1i−ii−i-1-1ii−i−iii−i−i1-1−ii1−i−iii11-1-1i−ii−i1-1−ii
χ3211-111-1111-1-1-1-1-1-111-1-11-1-111−i−iii-1-1-1-1-11-11111111-1-1-1-1-11i−i-1-1111-1-1−i−i−i−iiiii11-11-11-1-111ii−i−iii−i−i1111-1-111ii−i−i1−i−iii-11-1-1-1-1-111−ii−ii-1-1ii−i−iii−i−i-11i−i1−i−iii-1-111−ii−ii-11i−i
χ33222222222-2-222222222-222220000-2-2-2-2222222-2-2-2-222220000222-2-2-2-200000000222222-2-22200000000-2-2-2-200000000-20000222-2-200000000-2-2000000000000-20000000000000000
χ34222222222-2-222-2-22222-222220000-2-2-2-222-2-22-2-2-22222-2-20000222-2-2-2-200000000-2-222-2-2-222-200000000-2-22200000000-20000-2-2-22200000000-2200000000000020000000000000000
χ35222222222-2-2-2-2222222-222220000-2-2-2-2-2-222-2222-2-2-2-2220000222-2-2-2-200000000-2-2-2-2222-2-220000000022-2-200000000-20000-2-2-222000000002-200000000000020000000000000000
χ36222222222-2-2-2-2-2-22222-222220000-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000222-2-2-2-20000000022-2-2-2-222-2-200000000222200000000-20000222-2-20000000022000000000000-20000000000000000
χ3722222-2-22200222222220-2-2-2-22−22−20000-2-2-2-2220000222200002-2-2000022−2−222−2−222-2-2-2-200222−22−22−22−200000000000002−22−22-2-20000000000002−22−22−22−2000002−22−2000000000000
χ3822222-2-22200222222220-2-2-2-2−22−220000-2-2-2-2220000222200002-2-20000−2−222−2−22222-2-2-2-20022−22−22−22−220000000000000−22−222-2-2000000000000−22−22−22−2200000−22−22000000000000
χ3922222-2-2220022-2-222220-2-2-2-22−22−20000-2-2222-2000022-2-200002-2-2000022−2−222−2−2-2-2-2-222002-22−22−2−22−2200000000000002−22−2-2220000000000002−22−2−22−2200000−22−22000000000000
χ4022222-2-2220022-2-222220-2-2-2-2−22−220000-2-2222-2000022-2-200002-2-20000−2−222−2−222-2-2-2-222002-2−22−222−22−20000000000000−22−22-222000000000000−22−222−22−2000002−22−2000000000000
χ4122222-2-22200-2-22222220-2-2-2-22−22−2000022-2-2-220000-2-22200002-2-2000022−2−222−2−2-2-222-2-200-22−22−222−22−200000000000002−22−2-222000000000000−22−222−22−200000−22−22000000000000
χ4222222-2-22200-2-22222220-2-2-2-2−22−22000022-2-2-220000-2-22200002-2-20000−2−222−2−222-2-222-2-200-222−22−2−22−220000000000000−22−22-2220000000000002−22−2−22−22000002−22−2000000000000
χ4322222-2-22200-2-2-2-222220-2-2-2-22−22−200002222-2-20000-2-2-2-200002-2-2000022−2−222−2−222222200-2-2−22−22−22−2200000000000002−22−22-2-2000000000000−22−22−22−22000002−22−2000000000000
χ4422222-2-22200-2-2-2-222220-2-2-2-2−22−2200002222-2-20000-2-2-2-200002-2-20000−2−222−2−22222222200-2-22−22−22−22−20000000000000−22−222-2-20000000000002−22−22−22−200000−22−22000000000000
χ452222-1222-1220022-1-12-122-12-1222222-1-1002202002200-1-12222-1-1-12-1-1-12-12-12-12-10000-1-1020-10000222200-1-12-12-12-12-1-1-1-1-1-100000020200220-10000-1-1-1-1-1-1-1-1000000-10-100-1-10000
χ462222-1222-1220022-1-12-122-12-1222222-1-1002202002200-1-1-2-2-2-2-1-1-12-1-1-12-12-12-12-10000-1-1020-10000222200-1-1-21-21-21-21-1-1-1-1-1000000-20-200-2-20-10000-1-1-1-1111100000010100110000
χ472222-1222-1220022-1-12-122-12-1-2-2-2-222-1-1002202002200-1-122-2-2-1-1-12-1-1-1-21-21-21-210000-1-1020-10000-2-2-2-200-1-12-12-1-21-21-1111100000020200-2-20-100001111-1-111000000-10-100110000
χ482222-1222-1220022-1-12-122-12-1-2-2-2-222-1-1002202002200-1-1-2-222-1-1-12-1-1-1-21-21-21-210000-1-1020-10000-2-2-2-200-1-1-21-212-12-1-11111000000-20-200220-10000111111-1-100000010100-1-10000
χ492222-1222-12200-2-2-1-12-122-12-1222222-1-100-2-20-200-2-200112222-1-1-12-1-1-12-12-12-12-10000110-2010000-2-2-2-200112-12-12-12-1-1-1-1-1-1000000-20-200-2-20100001111-1-1-1-100000010100110000
χ502222-1222-12200-2-2-1-12-122-12-1222222-1-100-2-20-200-2-20011-2-2-2-2-1-1-12-1-1-12-12-12-12-10000110-2010000-2-2-2-20011-21-21-21-21-1-1-1-1-1000000202002201000011111111000000-10-100-1-10000
χ512222-1222-12200-2-2-1-12-122-12-1-2-2-2-222-1-100-2-20-200-2-2001122-2-2-1-1-12-1-1-1-21-21-21-210000110-2010000222200112-12-1-21-21-11111000000-20-20022010000-1-1-1-1-1-11100000010100-1-10000
χ522222-1222-12200-2-2-1-12-122-12-1-2-2-2-222-1-100-2-20-200-2-20011-2-222-1-1-12-1-1-1-21-21-21-210000110-201000022220011-21-212-12-1-1111100000020200-2-2010000-1-1-1-111-1-1000000-10-100110000
χ53222-1222-12222200-1-1-122-12-122222-1-1222200202200-1-1002222-1-1-1-12-1-1-12-12-12-1200-1-10020-1022220000-1-100-12-12-12-12-1-1-1-1-10000020202200-10-1-1-1-10000-1-1-1-100000-10-10-1-1000000
χ54222-1222-12222200-1-1-122-12-122222-1-1222200202200-1-100-2-2-2-2-1-1-1-12-1-1-12-12-12-1200-1-10020-1022220000-1-1001-21-21-21-2-1-1-1-1-100000-20-20-2-200-10-1-1-1-10000111100000101011000000
χ55222-1222-12222200-1-1-122-12-12-2-2-2-2-1-1222200202200-1-10022-2-2-1-1-1-12-1-11-21-21-21-200-1-10020-10-2-2-2-20000-1-100-12-121-21-2-11111000002020-2-200-1011110000-1-11100000-10-1011000000
χ56222-1222-12222200-1-1-122-12-12-2-2-2-2-1-1222200202200-1-100-2-222-1-1-1-12-1-11-21-21-21-200-1-10020-10-2-2-2-20000-1-1001-21-2-12-12-1111100000-20-202200-101111000011-1-1000001010-1-1000000
χ57222-1222-1222-2-200-1-1-122-12-122222-1-122-2-200-20-2-20011002222-1-1-1-12-1-1-12-12-12-12001100-2010-2-2-2-200001100-12-12-12-12-1-1-1-1-100000-20-20-2-2001011110000-1-1-1-100000101011000000
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χ13388-8-4-48-8-4-400000022440-4-444−4i24i24i2−4i20000000000000000000000-22-200002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000−i2i2i2−i200000000000000000000000000000000000000000000
χ13488-8-4-4-88-4-48800002244-844-4-40000-4-4-4-4000000000000000000-2-22442200000000000000000000000000000000000000-2000000000000000000000000000000000000000000000000
χ1358-808-400-844i2−4i2008i−8i-44000000000004i2−4i2−2i22i20000000042−4200−4i4i000000000−2i22i20000000000000000000000000000−2222000000000000000000000000000000000000000000000000000000000
χ1368-808-400-844i2−4i200−8i8i-44000000000004i2−4i2−2i22i200000000−4242004i−4i000000000−2i22i2000000000000000000000000000022−22000000000000000000000000000000000000000000000000000000000
χ1378-808-400-84−4i24i2008i−8i-4400000000000−4i24i22i2−2i200000000−424200−4i4i0000000002i2−2i2000000000000000000000000000022−22000000000000000000000000000000000000000000000000000000000
χ1388-808-400-84−4i24i200−8i8i-4400000000000−4i24i22i2−2i20000000042−42004i−4i0000000002i2−2i20000000000000000000000000000−2222000000000000000000000000000000000000000000000000000000000
χ1398-80-48004-84i2−4i28i−8i00-4400000000000−2i22i24i2−4i200000042−4200−4i4i00000000000−2i22i200000000000000000000000000−222200000000000000000000000000000000000000000000000000000000000
χ1408-80-48004-84i2−4i2−8i8i00-4400000000000−2i22i24i2−4i2000000−4242004i−4i00000000000−2i22i20000000000000000000000000022−2200000000000000000000000000000000000000000000000000000000000
χ1418-80-48004-8−4i24i28i−8i00-44000000000002i2−2i2−4i24i2000000−424200−4i4i000000000002i2−2i20000000000000000000000000022−2200000000000000000000000000000000000000000000000000000000000
χ1428-80-48004-8−4i24i2−8i8i00-44000000000002i2−2i2−4i24i200000042−42004i−4i000000000002i2−2i200000000000000000000000000−222200000000000000000000000000000000000000000000000000000000000
χ14316-160-8-800888i2−8i200004-400000000000−4i24i2−4i24i2000000000000000000000002i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14416-160-8-80088−8i28i200004-4000000000004i2−4i24i2−4i200000000000000000000000−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).