Finite Group Databasebeta

← Group #72240158

Character table — Group #72240158

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222444444444444888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222444422222244444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-11111111111111111-1-1-1-1-1-1-11-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111111111111-1-111-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-11-111111111-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-111-1-111-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1-11111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-1-11111111-11-1-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-11-11-11-1-11-11-1iiii−i−i−i−iii−i−iii−i−i
χ101111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-1-11111111-11-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-11-11-11-1-11-11-1−i−i−i−iiiii−i−iii−i−iii
χ111111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i111-11-11111-1-1-11iiii−i−i−i−i−i−iii−i−iii
χ121111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii111-11-11111-1-1-11−i−i−i−iiiiiii−i−iii−i−i
χ131111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1111-1-11-1-1-1-1111−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1111-1-11-1-1-1-1111iiii−i−i−i−i−i−iiiii−i−i
χ151111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1111111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1111111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1-1-111-1-11111-1-1iiii−i−i−i−iii−i−i−i−iii
χ17111111111111-1-1-1-1111-1-11111-1-11-1-1-111111111111-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-111-1-11-11-11-11-1
χ18111111111111-1-1-1-1111-1-11111-1-11-1-1-111111111111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-111-1-111-1-111-11-11-11-11
χ19111111111111-1-1-1-1111-1-11111-1-11-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1-111-1-111-1-1-11-11-11-11
χ20111111111111-1-1-1-1111-1-11111-1-11-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-111-1-1-1-1-111-1-1111-11-11-11-1
χ21111111111111-1-1-1-1111-1-11111-1-11-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-11111-1111-1-1-111-1-1111-11-1-11-11
χ22111111111111-1-1-1-1111-1-11111-1-11-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11111-1111-111-1-111-1-1-11-111-11-1
χ23111111111111-1-1-1-1111-1-11111-1-11-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-111-1-11-11-11-11-1-111-1-111-11-111-11-1
χ24111111111111-1-1-1-1111-1-11111-1-11-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-1-11-11-11-1111-1-111-1-11-11-1-11-11
χ25111111111111-1-1-1-1-1-1-111-1111-1-1-11111111-1-1-111-1-1-1-11111-11-11-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11-11-11-1-11-111-1ii−i−i−i−iiii−i−iii−i−ii
χ26111111111111-1-1-1-1-1-1-111-1111-1-1-11111111-1-1-111-1-1-1-11111-11-11-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11-11-11-1-11-111-1−i−iiiii−i−i−iii−i−iii−i
χ27111111111111-1-1-1-1-1-1-111-1111-1-1-11111111-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-11-11-1-11-111-11ii−i−i−i−iii−iii−i−iii−i
χ28111111111111-1-1-1-1-1-1-111-1111-1-1-11111111-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-11-11-1-11-111-11−i−iiiii−i−ii−i−iii−i−ii
χ29111111111111-1-1-1-1-1-1-111-1111-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-11-1111-1-111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111-11-111-111−i−iiiii−i−ii−i−ii−iii−i
χ30111111111111-1-1-1-1-1-1-111-1111-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-11-1111-1-111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111-11-111-111ii−i−i−i−iii−iii−ii−i−ii
χ31111111111111-1-1-1-1-1-1-111-1111-1-1-1111-1-1-1-1-1-1-111-1-111-1-111-11-1111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1111-1-1-1-1-1−i−iiiii−i−i−iii−ii−i−ii
χ32111111111111-1-1-1-1-1-1-111-1111-1-1-1111-1-1-1-1-1-1-111-1-111-1-111-11-1111-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1111-1-1-1-1-1ii−i−i−i−iiii−i−ii−iii−i
χ3322222222222222222222222-2-22222222222-2-22-2-2-2-2220000-2-2-2-22222-2-200-2-20000000000000000000000000-2000-2000000000000000000
χ3422222222222222222222222-2-2222222-2-2-2-2-2-22-2-2-2-2-2-20000-2-2-2-2-2-2-2-2220022000000000000000000000000020002000000000000000000
χ352222222222222222-2-2-2-2-2-22-2-222-2-2-2-2222222-2-2-222220000-22-22-2-2-2-22200-2-20000000000000000000000000-20002000000000000000000
χ362222222222222222-2-2-2-2-2-22-2-222-2-2-2-2-2-2-2-222-2-2-222-2-20000-22-222222-2-2002200000000000000000000000002000-2000000000000000000
χ37222222222222-2-2-2-2222-2-222-2-2-2-22-2-2-22222-2-22-2-2-2-2-2-20000222222-2-2-2-200-2-2000000000000000000000000020002000000000000000000
χ38222222222222-2-2-2-2222-2-222-2-2-2-22-2-2-2-2-2-2-2-2-22-2-2-2-22200002222-2-2222200220000000000000000000000000-2000-2000000000000000000
χ39222222222222-2-2-2-2-2-2-222-22-2-2-2-2-2222222222-2-2-222-2-200002-22-2-2-2222200-2-200000000000000000000000002000-2000000000000000000
χ40222222222222-2-2-2-2-2-2-222-22-2-2-2-2-2222-2-2-2-222-2-2-2222200002-22-222-2-2-2-200220000000000000000000000000-20002000000000000000000
χ412222222222-2-222-2-2222222-2222-2-22-2-2000022-2-2-2-2-2002200-2-222000000-2-20000000000000000000020022000-2-200-200000000000000000
χ422222222222-2-222-2-2222222-2222-2-22-2-2000022-2-2-2-2-200-2-200-2-2220000002200000000000000000000-200-2-20002200200000000000000000
χ432222222222-2-222-2-2222222-2-2-22-2-22-2-20000-2-2-2222200002222-2-20000000000-2-2000000000000000002-20022000-200-20000000000000000
χ442222222222-2-222-2-2222222-2-2-22-2-22-2-20000-2-2-222220000-2-222-2-200000000002200000000000000000-2200-2-200020020000000000000000
χ452222222222-2-222-2-2-2-2-2-2-2-2-2222-22-2220000-2-22-2-222002200-222-2000000-2-200000000000000000000-2002-20002200-200000000000000000
χ462222222222-2-222-2-2-2-2-2-2-2-2-2222-22-2220000-2-22-2-22200-2-200-222-20000002200000000000000000000200-22000-2-200200000000000000000
χ472222222222-2-222-2-2-2-2-2-2-2-2-2-2-22-22-222000022222-2-20000222-2-220000000000-2-200000000000000000-22002-2000-20020000000000000000
χ482222222222-2-222-2-2-2-2-2-2-2-2-2-2-22-22-222000022222-2-20000-2-22-2-22000000000022000000000000000002-200-22000200-20000000000000000
χ492222222222-2-2-2-222222-2-22-222-22-2-222000022-2-2-2-2-200220022-2-20000002200000000000000000000200-2-2000-2200-200000000000000000
χ502222222222-2-2-2-222222-2-22-222-22-2-222000022-2-2-2-2-200-2-20022-2-2000000-2-200000000000000000000-200220002-200200000000000000000
χ512222222222-2-2-2-222222-2-22-2-2-2-22-2-2220000-2-2-22222000022-2-2220000000000-2-2000000000000000002200-2-2000200-20000000000000000
χ522222222222-2-2-2-222222-2-22-2-2-2-22-2-2220000-2-2-222220000-2-2-2-22200000000002200000000000000000-2-20022000-20020000000000000000
χ532222222222-2-2-2-222-2-2-222-2-222-2222-2-20000-2-22-2-2220022002-2-220000002200000000000000000000-200-220002-200-200000000000000000
χ542222222222-2-2-2-222-2-2-222-2-222-2222-2-20000-2-22-2-22200-2-2002-2-22000000-2-2000000000000000000002002-2000-2200200000000000000000
χ552222222222-2-2-2-222-2-2-222-2-2-2-2-2222-2-2000022222-2-2000022-222-20000000000-2-200000000000000000-2-200-2200020020000000000000000
χ562222222222-2-2-2-222-2-2-222-2-2-2-2-2222-2-2000022222-2-20000-2-2-222-20000000000220000000000000000022002-2000-200-20000000000000000
χ572222-2-2-22-22-2-2000022-200-222-200200022-2-22-2-22-22-200000000002-2002-2002-20000002i2i−2i−2i00002i2i−2i−2i00000000000000002i−2i002i−2i00000000
χ582222-2-2-22-22-2-2000022-200-222-200200022-2-22-2-22-22-200000000002-2002-2002-2000000−2i−2i2i2i0000−2i−2i2i2i0000000000000000−2i2i00−2i2i00000000
χ592222-2-2-22-22-2-2000022-200-222-2002000-2-2222-2-22-22-20000000000-2200-2200-220000002i2i−2i−2i00002i2i−2i−2i0000000000000000−2i2i00−2i2i00000000
χ602222-2-2-22-22-2-2000022-200-222-2002000-2-2222-2-22-22-20000000000-2200-2200-22000000−2i−2i2i2i0000−2i−2i2i2i00000000000000002i−2i002i−2i00000000
χ612222-2-2-22-22-2-2000022-200-22-2200200022-2-2-22-2-22-2200000000002-200-2200-22002i2i−2i−2i00002i2i−2i−2i0000000000000000002i−2i002i−2i0000000000
χ622222-2-2-22-22-2-2000022-200-22-2200200022-2-2-22-2-22-2200000000002-200-2200-2200−2i−2i2i2i0000−2i−2i2i2i000000000000000000−2i2i00−2i2i0000000000
χ632222-2-2-22-22-2-2000022-200-22-22002000-2-222-22-2-22-220000000000-22002-2002-2002i2i−2i−2i00002i2i−2i−2i000000000000000000−2i2i00−2i2i0000000000
χ642222-2-2-22-22-2-2000022-200-22-22002000-2-222-22-2-22-220000000000-22002-2002-200−2i−2i2i2i0000−2i−2i2i2i0000000000000000002i−2i002i−2i0000000000
χ652222-2-2-22-22-2-20000-2-2200222-200-200022-2-2-2222-2-220000000000-2200-22002-200000022-2-20000-2-22200000000000000002-200-2200000000
χ662222-2-2-22-22-2-20000-2-2200222-200-200022-2-2-2222-2-220000000000-2200-22002-2000000-2-222000022-2-20000000000000000-22002-200000000
χ672222-2-2-22-22-2-20000-2-2200222-200-2000-2-222-2222-2-2200000000002-2002-200-2200000022-2-20000-2-2220000000000000000-22002-200000000
χ682222-2-2-22-22-2-20000-2-2200222-200-2000-2-222-2222-2-2200000000002-2002-200-22000000-2-222000022-2-200000000000000002-200-2200000000
χ692222-2-2-22-22-2-20000-2-220022-2200-200022-2-22-22-222-20000000000-22002-200-220022-2-20000-2-2220000000000000000002-200-220000000000
χ702222-2-2-22-22-2-20000-2-220022-2200-200022-2-22-22-222-20000000000-22002-200-2200-2-222000022-2-2000000000000000000-22002-20000000000
χ712222-2-2-22-22-2-20000-2-220022-2200-2000-2-2222-22-222-200000000002-200-22002-20022-2-20000-2-222000000000000000000-22002-20000000000
χ722222-2-2-22-22-2-20000-2-220022-2200-2000-2-2222-22-222-200000000002-200-22002-200-2-222000022-2-20000000000000000002-200-220000000000
χ7344444-4-4-44-40000444-4400-40000-4004-40000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ7444444-4-4-44-40000444-4400-40000-4004-4000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ7544444-4-4-44-4000044-44-40040000-400-440000000000000000000000000000000002-22-22-22-2-22-22-22-22000000000000000000000000000000
χ7644444-4-4-44-4000044-44-40040000-400-44000000000000000000000000000000000-22-22-22-222-22-22-22-2000000000000000000000000000000
χ7744444-4-4-44-40000-4-44-4400-40000400-440000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ7844444-4-4-44-40000-4-44-4400-40000400-44000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ7944444-4-4-44-40000-4-4-44-400400004004-40000000000000000000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000
χ8044444-4-4-44-40000-4-4-44-400400004004-4000000000000000000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000
χ814444-444-4-4-40044004-4-4444000-400-4000000000000000000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ824444-444-4-4-40044004-4-4444000-400-400000000000000000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ834444-444-4-4-4004400-444-4-4-4000-4004000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ844444-444-4-4-4004400-444-4-4-4000-400400000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ854444-444-4-4-400-4-4004-4-4-4-440004004000000000000000000000000000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ864444-444-4-4-400-4-4004-4-4-4-44000400400000000000000000000000000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000
χ874444-444-4-4-400-4-400-44444-4000400-4000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ884444-444-4-4-400-4-400-44444-4000400-400000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ894444-4-4-44-4444000044-400-4-44-400-400000004-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-44-4444000044-400-4-4-4400-40000000-4444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-44-44440000-4-44004-44-40040000000-44-4-444-400000000000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-44-44440000-4-44004-4-4400400000004-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8000-8088-800000000000000000000000000000000004-4000000000000004-40000000000000000000000000000000000000000000000
χ9488-8-8000-8088-80000000000000000000000000000000000-4400000000000000-440000000000000000000000000000000000000000000000
χ9588-8-8000-808-8800000000000000000000000000000000004-400000000000000-440000000000000000000000000000000000000000000000
χ9688-8-8000-808-880000000000000000000000000000000000-44000000000000004-40000000000000000000000000000000000000000000000
χ978-88-8-80008000008-800000000000000000000000000004-40000000000004-400000000000000000000000000000000000000000000000000
χ988-88-8-80008000008-80000000000000000000000000000-44000000000000-4400000000000000000000000000000000000000000000000000
χ998-88-8-8000800000-8800000000000000000000000000004-4000000000000-4400000000000000000000000000000000000000000000000000
χ1008-88-8-8000800000-880000000000000000000000000000-440000000000004-400000000000000000000000000000000000000000000000000
χ1018-8-8808-80000000000008-800000000004-44-400000000000000000004-4000000000000000000000000000000000000000000000000000000
χ1028-8-8808-80000000000008-80000000000-44-440000000000000000000-44000000000000000000000000000000000000000000000000000000
χ1038-8-8808-8000000000000-8800000000004-44-40000000000000000000-44000000000000000000000000000000000000000000000000000000
χ1048-8-8808-8000000000000-880000000000-44-4400000000000000000004-4000000000000000000000000000000000000000000000000000000
χ1058-8-880-88000008-8000000000000000004-4-4400000004-4000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-880-88000008-800000000000000000-444-40000000-44000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-880-8800000-88000000000000000004-4-440000000-44000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-880-8800000-8800000000000000000-444-400000004-4000000000000000000000000000000000000000000000000000000000000000000
χ1091616-16-16000160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1616-1616000-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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