Finite Group Databasebeta

← Group #72264931

Character table — Group #72264931

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11112222222222222244444444888888888888161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323264646464
order122222222244444444444444444444888888882222222244444444444444444488888888244444444444888888161616161616161616161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ911111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1011111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ1111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1211111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1
χ1311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1511111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1611111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ171111-1-11-11-1111111-1-111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1i−ii−i11-1-1i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i
χ181111-1-11-11-1111111-1-111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-11-1ii−i−iii−i−iii−i−iii−i−iii−i−i11-1-1-1-111i−ii−i11-1-1i−i−i−iii-1-111-1-111−i−iii−i−iii-11−ii
χ191111-1-11-11-1111111-1-111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-11-1−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−ii−ii11-1-1−ii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii
χ201111-1-11-11-1111111-1-111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-11-1−i−iii−i−iii−i−iii−i−iii−i−iii11-1-1-1-111−ii−ii11-1-1−iiii−i−i-1-111-1-111ii−i−iii−i−i-11i−i
χ211111-1-11-11-1111111-1-111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-111111-1ii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-111-1-1−ii−ii-1-111i−iii−i−i-1-111-1-111−i−iii−i−iii1-1i−i
χ221111-1-11-11-1111111-1-111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-111111-1ii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−ii−ii-1-111i−i−i−iii11-1-111-1-1ii−i−iii−i−i-11−ii
χ231111-1-11-11-1111111-1-111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-111111-1−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-111-1-1i−ii−i-1-111−ii−i−iii-1-111-1-111ii−i−iii−i−i1-1−ii
χ241111-1-11-11-1111111-1-111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-111111-1−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111i−ii−i-1-111−iiii−i−i11-1-111-1-1−i−iii−i−iii-11i−i
χ251111-1-11-11-1111111-1-111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-1-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1i−i−ii-1-111−iiii−i−i11-1-1-1-111ii−i−i−i−iii-11−ii
χ261111-1-11-11-1111111-1-111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-1-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111i−i−ii-1-111−ii−i−iii-1-11111-1-1−i−iiiii−i−i1-1i−i
χ271111-1-11-11-1111111-1-111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−iii−i-1-111i−i−i−iii11-1-1-1-111−i−iiiii−i−i-11i−i
χ281111-1-11-11-1111111-1-111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-111-1-111−iii−i-1-111i−iii−i−i-1-11111-1-1ii−i−i−i−iii1-1−ii
χ291111-1-11-11-1111111-1-111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111-11ii−i−i−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1−iii−i11-1-1−iiii−i−i-1-11111-1-1−i−iiiii−i−i-11−ii
χ301111-1-11-11-1111111-1-111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111-11ii−i−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−iii−i11-1-1−ii−i−iii11-1-1-1-111ii−i−i−i−iii1-1i−i
χ311111-1-11-11-1111111-1-111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111-11−i−iiiii−i−iii−i−i−i−iii−i−iii-1-11111-1-1i−i−ii11-1-1i−i−i−iii-1-11111-1-1ii−i−i−i−iii-11i−i
χ321111-1-11-11-1111111-1-111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111-11−i−iiiii−i−iii−i−i−i−iii−i−iii-1-111-1-111i−i−ii11-1-1i−iii−i−i11-1-1-1-111−i−iiiii−i−i1-1−ii
χ33222222222222222222222222222222-2-2-2-2-2-2-2-200000000222222222200000000-2-2-2-2-2-2-2-2000000000000-2-2000000000000000000000000
χ34222222222222222222222222222222-2-2-2-2-2-2-2-20000000022-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000022000000000000000000000000
χ3522222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-22222-2-2-2-200000000-2-2-2-2222200000000000022000000000000000000000000
χ3622222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-222220000000022222222000000000000-2-2000000000000000000000000
χ372222222222-2-222-2-222-2-22-2-2-22-200002-22-22-22-200000000002-22-20000000022222-22-20000000000-2-22-22-200000000000000000000000000
χ382222222222-2-222-2-222-2-22-2-2-22-200002-22-22-22-200000000002-22-200000000-2-2-2-22-22-2000000000022-22-2200000000000000000000000000
χ392222222222-2-222-2-222-2-22-2-2-22-200002-22-22-22-20000000000-22-22000000002222-22-220000000000-2-2-22-2200000000000000000000000000
χ402222222222-2-222-2-222-2-22-2-2-22-200002-22-22-22-20000000000-22-2200000000-2-2-2-2-22-220000000000222-22-200000000000000000000000000
χ412222222222-2-222-2-222-2-22-2-2-22-20000-22-22-22-2222-2-222-2-2002-22-2000022220000-22-2200000000-2-200000000000000000000000000000000
χ422222222222-2-222-2-222-2-22-2-2-22-20000-22-22-22-2222-2-222-2-200-22-220000-2-2-2-200002-22-2000000002200000000000000000000000000000000
χ432222222222-2-222-2-222-2-22-2-2-22-20000-22-22-22-22-2-222-2-222002-22-20000-2-2-2-20000-22-22000000002200000000000000000000000000000000
χ442222222222-2-222-2-222-2-22-2-2-22-20000-22-22-22-22-2-222-2-22200-22-220000222200002-22-200000000-2-200000000000000000000000000000000
χ45222222-2-2-2-22222-2-2-2-22-2222-2-2-200002-222-22-2-22-22-22-22-2000000000000000000000000002-22-2000000000000002-22-20000000000000000
χ46222222-2-2-2-22222-2-2-2-22-2222-2-2-200002-222-22-2-22-22-22-22-200000000000000000000000000-22-2200000000000000-22-220000000000000000
χ47222222-2-2-2-22222-2-2-2-22-2222-2-2-200002-222-22-2-2-22-22-22-22000000000000000000000000002-22-200000000000000-22-220000000000000000
χ48222222-2-2-2-22222-2-2-2-22-2222-2-2-200002-222-22-2-2-22-22-22-2200000000000000000000000000-22-22000000000000002-22-20000000000000000
χ49222222-2-2-2-2-2-22222-2-2-222-2-22-220000-2-2-22222-22-2-222-2-2200000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i00000000
χ50222222-2-2-2-2-2-22222-2-2-222-2-22-220000-2-2-22222-22-2-222-2-220000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i00000000
χ51222222-2-2-2-2-2-22222-2-2-222-2-22-220000-2-2-22222-2-222-2-222-200000000000000000000000000000000000000002i−2i2i−2i00000000−2i2i−2i2i00000000
χ52222222-2-2-2-2-2-22222-2-2-222-2-22-220000-2-2-22222-2-222-2-222-20000000000000000000000000000000000000000−2i2i−2i2i000000002i−2i2i−2i00000000
χ532222-2-22-22-2222222-2-222-2-2-2-22-222-2-2-2-222-2-222000000002-22i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i-2-222000000000000−2i2i000000000000000000000000
χ542222-2-22-22-2222222-2-222-2-2-2-22-222-2-2-2-222-2-222000000002-2−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i-2-2220000000000002i−2i000000000000000000000000
χ552222-2-22-22-2222222-2-222-2-2-2-22-2-2-222-2-222-2-22200000000-222i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i22-2-20000000000002i−2i000000000000000000000000
χ562222-2-22-22-2222222-2-222-2-2-2-22-2-2-222-2-222-2-22200000000-22−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i22-2-2000000000000−2i2i000000000000000000000000
χ572222-2-22-22-2-2-222-2-2-2-2-2-2-22222200002-2-222-2-2200000000002i−2i−2i2i000000002i2i−2i−2i2i−2i−2i2i0000000000−2i2i2-2-2200000000000000000000000000
χ582222-2-22-22-2-2-222-2-2-2-2-2-2-22222200002-2-222-2-2200000000002i−2i−2i2i00000000−2i−2i2i2i2i−2i−2i2i00000000002i−2i-222-200000000000000000000000000
χ592222-2-22-22-2-2-222-2-2-2-2-2-2-22222200002-2-222-2-220000000000−2i2i2i−2i000000002i2i−2i−2i−2i2i2i−2i0000000000−2i2i-222-200000000000000000000000000
χ602222-2-22-22-2-2-222-2-2-2-2-2-2-22222200002-2-222-2-220000000000−2i2i2i−2i00000000−2i−2i2i2i−2i2i2i−2i00000000002i−2i2-2-2200000000000000000000000000
χ612222-2-22-22-2-2-222-2-2-2-2-2-2-2222220000-222-2-222-222-2-2-2-222002i−2i−2i2i00002i2i−2i−2i0000−2i2i2i−2i00000000−2i2i00000000000000000000000000000000
χ622222-2-22-22-2-2-222-2-2-2-2-2-2-2222220000-222-2-222-222-2-2-2-22200−2i2i2i−2i0000−2i−2i2i2i00002i−2i−2i2i000000002i−2i00000000000000000000000000000000
χ632222-2-22-22-2-2-222-2-2-2-2-2-2-2222220000-222-2-222-2-2-22222-2-2002i−2i−2i2i0000−2i−2i2i2i0000−2i2i2i−2i000000002i−2i00000000000000000000000000000000
χ642222-2-22-22-2-2-222-2-2-2-2-2-2-2222220000-222-2-222-2-2-22222-2-200−2i2i2i−2i00002i2i−2i−2i00002i−2i−2i2i00000000−2i2i00000000000000000000000000000000
χ652222-2-2-22-222222-2-2222-2-2-2-22-2200002-2-2-2-22222-22-2-22-22000000000000000000000000002-2-22000000000000002-2-220000000000000000
χ662222-2-2-22-222222-2-2222-2-2-2-22-2200002-2-2-2-22222-22-2-22-2200000000000000000000000000-222-200000000000000-222-20000000000000000
χ672222-2-2-22-222222-2-2222-2-2-2-22-2200002-2-2-2-2222-22-222-22-2000000000000000000000000002-2-2200000000000000-222-20000000000000000
χ682222-2-2-22-222222-2-2222-2-2-2-22-2200002-2-2-2-2222-22-222-22-200000000000000000000000000-222-2000000000000002-2-220000000000000000
χ692222-2-2-22-22-2-2222222-22-222-2-2-20000-2-22-222-222-2-22-222-200000000000000000000000000000000000000002-2-22000000002-2-2200000000
χ702222-2-2-22-22-2-2222222-22-222-2-2-20000-2-22-222-222-2-22-222-20000000000000000000000000000000000000000-222-200000000-222-200000000
χ712222-2-2-22-22-2-2222222-22-222-2-2-20000-2-22-222-22-222-22-2-2200000000000000000000000000000000000000002-2-2200000000-222-200000000
χ722222-2-2-22-22-2-2222222-22-222-2-2-20000-2-22-222-22-222-22-2-220000000000000000000000000000000000000000-222-2000000002-2-2200000000
χ73444444444444-4-444-4-4-4-4-44-44-4-444440000000000000000-4-400000000000000000000000000000000000000000000000000000000000000
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χ81444444-4-4-4-4-4-4-4-444444-4-4-4444-400000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i20000
χ82444444-4-4-4-4-4-4-4-444444-4-4-4444-40000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i20000
χ834444-4-44-44-444-4-44444-4-44-44-4-4444-4-40000000000000000-4400000000000000000000000000000000000000000000000000000000000000
χ844444-4-44-44-444-4-44444-4-44-44-4-44-4-44400000000000000004-400000000000000000000000000000000000000000000000000000000000000
χ854444-4-44-44-4-4-4-4-4-4-4444444-44-4-4000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ864444-4-44-44-4-4-4-4-4-4-4444444-44-4-400000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ874444-4-4-44-444444-4-4444-4-4-4-44-440000-44444-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
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χ894444-4-4-44-4444-4-4-4-4-4-4-444-4444-400000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ904444-4-4-44-44-4-4444444-44-444-4-4-4000044-44-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-44-44-4-4-4-444-4-44-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000022−22−22220000
χ924444-4-4-44-44-4-4-4-444-4-44-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000−222222−220000
χ9388-8-800080-8008-8008-80000000000000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000
χ9488-8-800080-8008-8008-8000000000000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000
χ9588-8-800080-800-8800-88000000000000000000000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000000000000
χ9688-8-800080-800-8800-8800000000000000000000000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000000000
χ9788-8-8000-808008-800-880000000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000
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χ10088-8-8000-80800-88008-800000000000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000
χ1018-88-80080-808-8008-80000000000000000000000000000000000000000000000000000004i2−4i200000000000000000000000000000000000000
χ1028-88-80080-808-8008-8000000000000000000000000000000000000000000000000000000−4i24i200000000000000000000000000000000000000
χ1038-88-80080-80-8800-8800000000000000000000000000000000000000000000000000004i2−4i20000000000000000000000000000000000000000
χ1048-88-80080-80-8800-880000000000000000000000000000000000000000000000000000−4i24i20000000000000000000000000000000000000000
χ1058-88-800-80808-800-880000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-80808-800-88000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1088-88-800-8080-88008-80000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-16-161616-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-16-1616-161600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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