Finite Group Databasebeta

← Group #72271786

Character table — Group #72271786

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11222222222222222222244444444444444888888888888888888881212121212121212121212121212121216161616161616161616161616161616161616161616161616161616161616162424242424242424242424242424242448484848
order1222222223444444446121266666661212121212121244444444444488888888888888888888888844441212121212121212121212121212121212121212242424242424242444444444888888882224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ5111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ911111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1011111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ1111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ1211111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ1311111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ1511111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ1611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ171111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-11-11-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-1-1-11111-1-1-1-111111-11-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-11
χ191111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-111−i−iii−i−iii1111-1-1-1-1-1-1-1-111111-1-11ii−i−iii−i−i11-1-1-1-111-1-111−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ201111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-111−i−iii−i−iii-1-1-1-111111111-1-1-1-11-1-11ii−i−iii−i−i11-1-1-1-111-1-111−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i-111-1
χ211111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−i−i−iii11-1-1ii−i−i−i−iii1111-1-1-1-11111-1-1-1-1-11-11ii−i−i−i−iii-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-11-11
χ221111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−i−i−iii11-1-1ii−i−i−i−iii-1-1-1-11111-1-1-1-11111-11-11ii−i−i−i−iii-1-11111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii1-11-1
χ231111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111-111-1ii−i−i−i−iii-1-111-1-11111-1-1−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii-111-1
χ241111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i-1-1-1-111111111-1-1-1-1-111-1ii−i−i−i−iii-1-111-1-11111-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i1-1-11
χ251111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iiiii−i−i11-1-1−i−iiiii−i−i1111-1-1-1-11111-1-1-1-1-11-11−i−iiiii−i−i-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-11-11
χ261111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iiiii−i−i11-1-1−i−iiiii−i−i-1-1-1-11111-1-1-1-11111-11-11−i−iiiii−i−i-1-11111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i1-11-1
χ271111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-111-1−i−iiiii−i−i-1-111-1-11111-1-1ii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i-111-1
χ281111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii-1-1-1-111111111-1-1-1-1-111-1−i−iiiii−i−i-1-111-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii1-1-11
χ291111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-11-11-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-1
χ301111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-1−i−iii−i−iii-1-1-1-11111-1-1-1-111111-11-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-11
χ311111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-111ii−i−iii−i−i1111-1-1-1-1-1-1-1-111111-1-11−i−iii−i−iii11-1-1-1-111-1-111ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ321111-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-111ii−i−iii−i−i-1-1-1-111111111-1-1-1-11-1-11−i−iii−i−iii11-1-1-1-111-1-111ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii-111-1
χ33222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ34222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000
χ35222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-1111100000000000000000000
χ36222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-222-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000
χ37222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-222220000000000000000-2-2-2-21111-1-1-1-11111-1-1-1-111111111-1-1-1-100000000000000000000
χ38222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000000000000000
χ39222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000222211111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000
χ40222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000022-2-211111111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000
χ412222-2-22-2-2-122-2-222-2-2-1-1-1-1-11111-1-1-1-111112i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i00000000000000002-22-2−i−iii−i−iii-1-111-1-111-1-111−i−iii−i−iii00000000000000000000
χ422222-2-22-2-2-122-2-222-2-2-1-1-1-1-11111-1-1-1-111112i2i−2i−2i2i2i−2i−2i-2-222−2i−2i2i2i−2i−2i2i2i00000000000000002-2-22−i−iii−i−iii-1-11111-1-111-1-1ii−i−iii−i−i00000000000000000000
χ432222-2-22-2-2-122-2-222-2-2-1-1-1-1-11111-1-1-1-111112i2i−2i−2i−2i−2i2i2i22-2-22i2i−2i−2i−2i−2i2i2i0000000000000000-22-22−i−iiiii−i−i11-1-1-1-11111-1-1−i−iiiii−i−i00000000000000000000
χ442222-2-22-2-2-122-2-222-2-2-1-1-1-1-11111-1-1-1-111112i2i−2i−2i−2i−2i2i2i-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000-222-2−i−iiiii−i−i11-1-111-1-1-1-111ii−i−i−i−iii00000000000000000000
χ452222-2-22-2-2-122-2-222-2-2-1-1-1-1-11111-1-1-1-11111−2i−2i2i2i2i2i−2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000-22-22ii−i−i−i−iii11-1-1-1-11111-1-1ii−i−i−i−iii00000000000000000000
χ462222-2-22-2-2-122-2-222-2-2-1-1-1-1-11111-1-1-1-11111−2i−2i2i2i2i2i−2i−2i-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000-222-2ii−i−i−i−iii11-1-111-1-1-1-111−i−iiiii−i−i00000000000000000000
χ472222-2-22-2-2-122-2-222-2-2-1-1-1-1-11111-1-1-1-11111−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i00000000000000002-22-2ii−i−iii−i−i-1-111-1-111-1-111ii−i−iii−i−i00000000000000000000
χ482222-2-22-2-2-122-2-222-2-2-1-1-1-1-11111-1-1-1-11111−2i−2i2i2i−2i−2i2i2i-2-2222i2i−2i−2i2i2i−2i−2i00000000000000002-2-22ii−i−iii−i−i-1-11111-1-111-1-1−i−iii−i−iii00000000000000000000
χ49222-222-2-2-222-22-22-22-22222-2-2-222-22-2-22-22-20000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002i−2i2i−2i00000000000000002-22-20000
χ50222-222-2-2-222-22-22-22-22222-2-2-222-22-2-22-22-20000000000002i−2i2i−2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000002i−2i2i−2i0000000000000000-22-220000
χ51222-222-2-2-222-22-22-22-22222-2-2-222-22-2-22-22-2000000000000−2i2i−2i2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000−2i2i−2i2i0000000000000000-22-220000
χ52222-222-2-2-222-22-22-22-22222-2-2-222-22-2-22-22-2000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000−2i2i−2i2i00000000000000002-22-20000
χ53222-222-2-2-22-22-22-22-222-2-22-2-2-222-2-222-22-2200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i2i−2i000000002-22-200000000
χ54222-222-2-2-22-22-22-22-222-2-22-2-2-222-2-222-22-2200000000000000002i−2i2i−2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i2i−2i00000000-22-2200000000
χ55222-222-2-2-22-22-22-22-222-2-22-2-2-222-2-222-22-220000000000000000−2i2i−2i2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i−2i2i00000000-22-2200000000
χ56222-222-2-2-22-22-22-22-222-2-22-2-2-222-2-222-22-220000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i−2i2i000000002-22-200000000
χ57222-2-2-2-22222-2-222-2-222222-222-2-2-22-2-2-22-220000000000002-2-2200002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000002-2-220000000000000000−2i2i2i−2i0000
χ58222-2-2-2-22222-2-222-2-222222-222-2-2-22-2-2-22-220000000000002-2-220000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000002-2-2200000000000000002i−2i−2i2i0000
χ59222-2-2-2-22222-2-222-2-222222-222-2-2-22-2-2-22-22000000000000-222-200002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000-222-200000000000000002i−2i−2i2i0000
χ60222-2-2-2-22222-2-222-2-222222-222-2-2-22-2-2-22-22000000000000-222-20000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000-222-20000000000000000−2i2i2i−2i0000
χ61222-2-2-2-2222-222-2-222-22-2-22-222-2-2-2-2222-22-200000000000000002-2-22000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000002-2-2200000000−2i2i2i−2i00000000
χ62222-2-2-2-2222-222-2-222-22-2-22-222-2-2-2-2222-22-200000000000000002-2-2200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002-2-22000000002i−2i−2i2i00000000
χ63222-2-2-2-2222-222-2-222-22-2-22-222-2-2-2-2222-22-20000000000000000-222-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000-222-2000000002i−2i−2i2i00000000
χ64222-2-2-2-2222-222-2-222-22-2-22-222-2-2-2-2222-22-20000000000000000-222-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000-222-200000000−2i2i2i−2i00000000
χ6522-222-2-22-222-222-22-2-2222-222-22-2-2-22-2-2-22200002i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i0000000000000000000000002-22-2000000000000
χ6622-222-2-22-222-222-22-2-2222-222-22-2-2-22-2-2-22200002i−2i2i−2i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i000000000000000000000000-22-22000000000000
χ6722-222-2-22-222-222-22-2-2222-222-22-2-2-22-2-2-2220000−2i2i−2i2i000000000000000000002i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i000000000000000000000000-22-22000000000000
χ6822-222-2-22-222-222-22-2-2222-222-22-2-2-22-2-2-2220000−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i0000000000000000000000002-22-2000000000000
χ6922-222-2-22-22-22-2-22-2222-2-2-222-22-2-22-2222-2-22-22-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000002-22-20000000000000000000000002i−2i2i−2i0000000000000000
χ7022-222-2-22-22-22-2-22-2222-2-2-222-22-2-22-2222-2-22-22-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000002-22-2000000000000000000000000−2i2i−2i2i0000000000000000
χ7122-222-2-22-22-22-2-22-2222-2-2-222-22-2-22-2222-2-2-22-2200000000000000002i−2i2i−2i2i−2i2i−2i000000000000-22-22000000000000000000000000−2i2i−2i2i0000000000000000
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Here i is the imaginary unit (i² = −1).