Finite Group Databasebeta

← Group #72238364

Character table — Group #72238364

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222444444444444888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222244444444444422222244444444444444444444444444444444224444444444444444444488888888
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
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-11-1-1-1-1-111111-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11-11-11-1iiii−i−i−i−iii−i−iii−i−i
χ101111111111111111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-11-1-1-1-1-111111-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11-11-11-1−i−i−i−iiiii−i−iii−i−iii
χ111111111111111111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111-1-11-11iiii−i−i−i−i−i−iii−i−iii
χ121111111111111111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111-1-11-11−i−i−i−iiiiiii−i−iii−i−i
χ131111111111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-11-1-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-111-1-1-111-111-1-11−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-11-1-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-111-1-1-111-111-1-11iiii−i−i−i−i−i−iiiii−i−i
χ151111111111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1111-1-1-1-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1-1111-1-1-11-111-1−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1111-1-1-1-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1-1111-1-1-11-111-1iiii−i−i−i−iii−i−i−i−iii
χ17111111111111-1-1-1-11111111-1-11-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-11-11-1
χ18111111111111-1-1-1-11111111-1-11-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-11-11
χ19111111111111-1-1-1-11111111-1-11-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-11-11-11-11
χ20111111111111-1-1-1-11111111-1-11-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1111-11-11-11-1
χ21111111111111-1-1-1-11111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-1-1111111-1-1-1-111-1-1111-11-1-11-11
χ22111111111111-1-1-1-11111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1111111-1-111-1-111-1-1-11-111-11-1
χ23111111111111-1-1-1-11111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-111-1-111-1-111-11-111-11-1
χ24111111111111-1-1-1-11111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-1-111-1-11111-1-111-1-11-11-1-11-11
χ25111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-11-1-1111111-11-1-1-1-1-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-11-1ii−i−i−i−iiii−i−iii−i−ii
χ26111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-11-1-1111111-11-1-1-1-1-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-111-11-1−i−iiiii−i−i−iii−i−iii−i
χ27111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-11-1-111-1-1-1-1-11-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11-11-11ii−i−i−i−iii−iii−i−iii−i
χ28111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-11-1-111-1-1-1-1-11-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11-11-11−i−iiiii−i−ii−i−iii−i−ii
χ29111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-11-1111-1-11-11-1-11−i−iiiii−i−ii−i−ii−iii−i
χ30111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-1111-1-11-11-1-11ii−i−i−i−iii−iii−ii−i−ii
χ31111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-11-1-1-1111-1-111-1−i−iiiii−i−i−iii−ii−i−ii
χ32111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-11-1-1-1111-1-111-1ii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-222220000-2-2220000-2-2-2-2000000000000000000000000-2-200000000000000000000
χ34222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2000022220000000000000000000000002200000000000000000000
χ352222222222222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-222222222-22-2-2-2-20000-22220000-2-222000000000000000000000000-2200000000000000000000
χ362222222222222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2222220000-22-2-2000022-2-20000000000000000000000002-200000000000000000000
χ37222222222222-2-2-2-22222222-2-22-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000022-2-20000-2-2-2-20000000000000000000000002200000000000000000000
χ38222222222222-2-2-2-22222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000222200002222000000000000000000000000-2-200000000000000000000
χ39222222222222-2-2-2-2-2-2-2-2-2-22-2-2-22222-2-2-2-2222222222-2-2-22200002-2-2-20000-2-2220000000000000000000000002-200000000000000000000
χ40222222222222-2-2-2-2-2-2-2-2-2-22-2-2-22222-2-2-2-2-2-2-2-222222-222-2-200002-222000022-2-2000000000000000000000000-2200000000000000000000
χ412222222222-2-222-2-2222-2-22-22-2-222-2-222-2-2000022-2-22200000022-2-200002200000000000000000000020-2002-20000-2-20000000000000000
χ422222222222-2-222-2-2222-2-22-22-2-222-2-222-2-2000022-2-222000000-2-2-2-20000-2-2000000000000000000000-20200-220000220000000000000000
χ432222222222-2-222-2-2222-2-22-22-2-222-2-2-2-2220000-2-222-2-2000022002200-2-2000000000000000000000020202-20000-2-2000000000000000000
χ442222222222-2-222-2-2222-2-22-22-2-222-2-2-2-2220000-2-222-2-20000-2-2002200220000000000000000000000-20-20-22000022000000000000000000
χ452222222222-2-222-2-2-2-2-222-2-22-22-2-22222-2-20000-2-2222-200000022-22000022000000000000000000000-20-200-220000-220000000000000000
χ462222222222-2-222-2-2-2-2-222-2-22-22-2-22222-2-20000-2-2222-2000000-2-2-220000-2-2000000000000000000000202002-200002-20000000000000000
χ472222222222-2-222-2-2-2-2-222-2-22-22-2-222-2-222000022-2-2-22000022002-200-2-20000000000000000000000-2020-220000-22000000000000000000
χ482222222222-2-222-2-2-2-2-222-2-22-22-2-222-2-222000022-2-2-220000-2-2002-20022000000000000000000000020-202-200002-2000000000000000000
χ492222222222-2-2-2-222222-2-22-2-22-2-2-22222-2-2000022-2-2-2-200000022220000-2-200000000000000000000020200-220000-2-20000000000000000
χ502222222222-2-2-2-222222-2-22-2-22-2-2-22222-2-2000022-2-2-2-2000000-2-222000022000000000000000000000-20-2002-20000220000000000000000
χ512222222222-2-2-2-222222-2-22-2-22-2-2-222-2-2220000-2-2222200002200-2-20022000000000000000000000020-20-220000-2-2000000000000000000
χ522222222222-2-2-2-222222-2-22-2-22-2-2-222-2-2220000-2-222220000-2-200-2-200-2-20000000000000000000000-20202-2000022000000000000000000
χ532222222222-2-2-2-222-2-2-222-2-2-22222-2-222-2-20000-2-222-22000000222-20000-2-2000000000000000000000-202002-20000-220000000000000000
χ542222222222-2-2-2-222-2-2-222-2-2-22222-2-222-2-20000-2-222-22000000-2-22-200002200000000000000000000020-200-2200002-20000000000000000
χ552222222222-2-2-2-222-2-2-222-2-2-22222-2-2-2-222000022-2-22-200002200-2200220000000000000000000000-20-202-20000-22000000000000000000
χ562222222222-2-2-2-222-2-2-222-2-2-22222-2-2-2-222000022-2-22-20000-2-200-2200-2-200000000000000000000002020-2200002-2000000000000000000
χ572222-2-2-2-22222000022-2-2-2-2-200200002-22-222-2-22-22-2002-2000000000000002-22-200002i2i−2i−2i00002i2i−2i−2i00000000000000002i−2i002i−2i00000000
χ582222-2-2-2-22222000022-2-2-2-2-200200002-22-222-2-22-22-2002-2000000000000002-22-20000−2i−2i2i2i0000−2i−2i2i2i0000000000000000−2i2i00−2i2i00000000
χ592222-2-2-2-22222000022-2-2-2-2-200200002-22-2-2-2222-22-200-2200000000000000-22-2200002i2i−2i−2i00002i2i−2i−2i0000000000000000−2i2i00−2i2i00000000
χ602222-2-2-2-22222000022-2-2-2-2-200200002-22-2-2-2222-22-200-2200000000000000-22-220000−2i−2i2i2i0000−2i−2i2i2i00000000000000002i−2i002i−2i00000000
χ612222-2-2-2-22222000022-2-2-2-2-20020000-22-2222-2-2-22-22002-200000000000000-22-222i2i−2i−2i00002i2i−2i−2i0000000000000000002i−2i002i−2i0000000000
χ622222-2-2-2-22222000022-2-2-2-2-20020000-22-2222-2-2-22-22002-200000000000000-22-22−2i−2i2i2i0000−2i−2i2i2i000000000000000000−2i2i00−2i2i0000000000
χ632222-2-2-2-22222000022-2-2-2-2-20020000-22-22-2-222-22-2200-22000000000000002-22-22i2i−2i−2i00002i2i−2i−2i000000000000000000−2i2i00−2i2i0000000000
χ642222-2-2-2-22222000022-2-2-2-2-20020000-22-22-2-222-22-2200-22000000000000002-22-2−2i−2i2i2i0000−2i−2i2i2i0000000000000000002i−2i002i−2i0000000000
χ652222-2-2-2-222220000-2-22222-200-200002-22-222-2-2-22-2200-22000000000000002-2-22000022-2-20000-2-22200000000000000002-200-2200000000
χ662222-2-2-2-222220000-2-22222-200-200002-22-222-2-2-22-2200-22000000000000002-2-220000-2-222000022-2-20000000000000000-22002-200000000
χ672222-2-2-2-222220000-2-22222-200-200002-22-2-2-222-22-22002-200000000000000-222-2000022-2-20000-2-2220000000000000000-22002-200000000
χ682222-2-2-2-222220000-2-22222-200-200002-22-2-2-222-22-22002-200000000000000-222-20000-2-222000022-2-200000000000000002-200-2200000000
χ692222-2-2-2-222220000-2-22222-200-20000-22-2222-2-22-22-200-2200000000000000-222-222-2-20000-2-2220000000000000000002-200-220000000000
χ702222-2-2-2-222220000-2-22222-200-20000-22-2222-2-22-22-200-2200000000000000-222-2-2-222000022-2-2000000000000000000-22002-20000000000
χ712222-2-2-2-222220000-2-22222-200-20000-22-22-2-2222-22-2002-2000000000000002-2-2222-2-20000-2-222000000000000000000-22002-20000000000
χ722222-2-2-2-222220000-2-22222-200-20000-22-22-2-2222-22-2002-2000000000000002-2-22-2-222000022-2-20000000000000000002-200-220000000000
χ7344444-44-4-4-40000444-4400-400-40004-400000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ7444444-44-4-4-40000444-4400-400-40004-40000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ7544444-44-4-4-4000044-44-400400-4000-4400000000000000000000000000000000002-22-22-22-2-22-22-22-22000000000000000000000000000000
χ7644444-44-4-4-4000044-44-400400-4000-440000000000000000000000000000000000-22-22-22-222-22-22-22-2000000000000000000000000000000
χ7744444-44-4-4-40000-4-44-4400-4004000-4400000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ7844444-44-4-4-40000-4-44-4400-4004000-440000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ7944444-44-4-4-40000-4-4-44-40040040004-400000000000000000000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000
χ8044444-44-4-4-40000-4-4-44-40040040004-40000000000000000000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000
χ814444-44-44-4-40044004-4-40040-4004-40000000000000000000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ824444-44-44-4-40044004-4-40040-4004-4000000000000000000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ834444-44-44-4-4004400-44400-40-400-440000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ844444-44-44-4-4004400-44400-40-400-44000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ854444-44-44-4-400-4-4004-4-40040400-440000000000000000000000000000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ864444-44-44-4-400-4-4004-4-40040400-44000000000000000000000000000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000
χ874444-44-44-4-400-4-400-44400-404004-40000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ884444-44-44-4-400-4-400-44400-404004-4000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ894444-4-4-4-444-4-4000044-444-4400-400004-4-4400004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-444-4-4000044-444-4400-40000-444-40000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-444-4-40000-4-44-4-44400400004-4-440000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-444-4-40000-4-44-4-4440040000-444-400004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-80-80800008-80000000000000000000000000000000000004-40000004-400000000000000000000000000000000000000000000000000
χ9488-8-80-80800008-8000000000000000000000000000000000000-44000000-4400000000000000000000000000000000000000000000000000
χ9588-8-80-8080000-880000000000000000000000000000000000004-4000000-4400000000000000000000000000000000000000000000000000
χ9688-8-80-8080000-88000000000000000000000000000000000000-440000004-400000000000000000000000000000000000000000000000000
χ978-88-8-80800000008-8000000000000000000000000000000004-40000004-40000000000000000000000000000000000000000000000000000
χ988-88-8-80800000008-800000000000000000000000000000000-44000000-440000000000000000000000000000000000000000000000000000
χ998-88-8-8080000000-88000000000000000000000000000000004-4000000-440000000000000000000000000000000000000000000000000000
χ1008-88-8-8080000000-8800000000000000000000000000000000-440000004-40000000000000000000000000000000000000000000000000000
χ1018-8-8800008-80000000008-800000000000000000000000004-40000004-4000000000000000000000000000000000000000000000000000000
χ1028-8-8800008-80000000008-80000000000000000000000000-44000000-44000000000000000000000000000000000000000000000000000000
χ1038-8-8800008-8000000000-8800000000000000000000000004-4000000-44000000000000000000000000000000000000000000000000000000
χ1048-8-8800008-8000000000-880000000000000000000000000-440000004-4000000000000000000000000000000000000000000000000000000
χ1058-8-880000-888-80000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-880000-888-8000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-880000-88-8800000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-880000-88-880000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ1091616-16-160160-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1616-16160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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