Finite Group Databasebeta

← Group #72275075

Character table — Group #72275075

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11446121216161616161616162422881224243232323232323232483312121836364848484848484848721144612121616161616161616242288122424323232323232323248331212183636484848484848484872
order1222224336666664366666123366666612222222466666666422222246666666646666661266666666122222224666666664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321
χ31111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321
χ411-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-1
χ511-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1
χ611-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1
χ733333-1-100000000-133333-1-100000000-133333-1-100000000-133333-1-100000000-133333-1-100000000-133333-1-100000000-1
χ833-3-33-1-100000000133-3-33-1-100000000133-3-33-1-100000000133-3-33-1-100000000133-3-33-1-100000000133-3-33-1-1000000001
χ94-42-200011-11-1-11-104-42-200011-11-1-11-104-42-200011-11-1-11-104-42-200011-11-1-11-104-42-200011-11-1-11-104-42-200011-11-1-11-10
χ104-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i320
χ114-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i320
χ124-4-2200011-1-11-1-1104-4-2200011-1-11-1-1104-4-2200011-1-11-1-1104-4-2200011-1-11-1-1104-4-2200011-1-11-1-1104-4-2200011-1-11-1-110
χ134-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i320
χ144-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i320
χ156600-22-20000000006600-22-20000000006600-22-20000000006600-22-20000000006600-22-20000000006600-22-2000000000
χ166600-2-220000000006600-2-220000000006600-2-220000000006600-2-220000000006600-2-220000000006600-2-22000000000
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ181111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-11111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1
χ191111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-11111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1
χ2011-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-111-111111-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-111-1111
χ2111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321
χ2211-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321
χ2333333-1-100000000-133333-1-100000000-1-3-3-3-3-31100000000133333-1-100000000-133333-1-100000000-1-3-3-3-3-311000000001
χ2433-3-33-1-100000000133-3-33-1-1000000001-3-333-31100000000-133-3-33-1-100000000133-3-33-1-1000000001-3-333-31100000000-1
χ254-42-200011-11-1-11-104-42-200011-11-1-11-10-44-22000-1-11-111-1104-42-200011-11-1-11-104-42-200011-11-1-11-10-44-22000-1-11-111-110
χ264-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i320-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i320-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i320
χ274-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i320-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i320-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320
χ284-4-2200011-1-11-1-1104-4-2200011-1-11-1-110-442-2000-1-111-111-104-4-2200011-1-11-1-1104-4-2200011-1-11-1-110-442-2000-1-111-111-10
χ294-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i320-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i320-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i320
χ304-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i320-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i320-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320
χ316600-22-20000000006600-22-2000000000-6-6002-220000000006600-22-20000000006600-22-2000000000-6-6002-22000000000
χ326600-2-220000000006600-2-22000000000-6-60022-20000000006600-2-220000000006600-2-22000000000-6-60022-2000000000
χ332222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-100000000000000002222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-10000000000000000
χ352222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-100000000000000002222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-10000000000000000
χ3622-2-2222222-2-22-2-2-2-1-111-1-1-1-1-1-111-1111000000000000000022-2-2222222-2-22-2-2-2-1-111-1-1-1-1-1-111-11110000000000000000
χ3722-2-2222−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3-2-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321000000000000000022-2-2222−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3-2-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i3210000000000000000
χ3822-2-2222−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3-2-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321000000000000000022-2-2222−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3-2-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i3210000000000000000
χ3966666-2-200000000-2-3-3-3-3-311000000001000000000000000066666-2-200000000-2-3-3-3-3-3110000000010000000000000000
χ4066-6-66-2-2000000002-3-333-31100000000-1000000000000000066-6-66-2-2000000002-3-333-31100000000-10000000000000000
χ418-84-400022-22-2-22-20-44-22000-1-11-111-11000000000000000008-84-400022-22-2-22-20-44-22000-1-11-111-1100000000000000000
χ428-84-4000−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i30-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32000000000000000008-84-4000−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i30-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3200000000000000000
χ438-84-4000−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i30-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32000000000000000008-84-4000−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i30-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3200000000000000000
χ448-8-4400022-2-22-2-220-442-2000-1-111-111-1000000000000000008-8-4400022-2-22-2-220-442-2000-1-111-111-100000000000000000
χ458-8-44000−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i30-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32000000000000000008-8-44000−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i30-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3200000000000000000
χ468-8-44000−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i30-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32000000000000000008-8-44000−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i30-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3200000000000000000
χ47121200-44-4000000000-6-6002-220000000000000000000000000121200-44-4000000000-6-6002-220000000000000000000000000
χ48121200-4-44000000000-6-60022-20000000000000000000000000121200-4-44000000000-6-60022-20000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1
χ511111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1
χ5211-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-1-1-1-1-111-1111-1-111-1-1-1-1-1-111-1111
χ5311-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321
χ5411-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321
χ5533333-1-100000000-133333-1-100000000-133333-1-100000000-1-3-3-3-3-311000000001-3-3-3-3-311000000001-3-3-3-3-311000000001
χ5633-3-33-1-100000000133-3-33-1-100000000133-3-33-1-1000000001-3-333-31100000000-1-3-333-31100000000-1-3-333-31100000000-1
χ574-42-200011-11-1-11-104-42-200011-11-1-11-104-42-200011-11-1-11-10-44-22000-1-11-111-110-44-22000-1-11-111-110-44-22000-1-11-111-110
χ584-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i320-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i320-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i320-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i320
χ594-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i320-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320
χ604-4-2200011-1-11-1-1104-4-2200011-1-11-1-1104-4-2200011-1-11-1-110-442-2000-1-111-111-10-442-2000-1-111-111-10-442-2000-1-111-111-10
χ614-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i320-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i320-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i320-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i320
χ624-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i320-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320
χ636600-22-20000000006600-22-20000000006600-22-2000000000-6-6002-22000000000-6-6002-22000000000-6-6002-22000000000
χ646600-2-220000000006600-2-220000000006600-2-22000000000-6-60022-2000000000-6-60022-2000000000-6-60022-2000000000
χ6511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ661111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-11111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321
χ671111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-11111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321
χ6811-1-1111111-1-11-1-1-111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-111-1111-1-111-1-1-1-1-1-111-1111-1-111-1-1-1-1-1-111-111111-1-1111111-1-11-1-1-1
χ6911-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i321-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1
χ7011-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i321-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1
χ7133333-1-100000000-133333-1-100000000-1-3-3-3-3-311000000001-3-3-3-3-311000000001-3-3-3-3-31100000000133333-1-100000000-1
χ7233-3-33-1-100000000133-3-33-1-1000000001-3-333-31100000000-1-3-333-31100000000-1-3-333-31100000000-133-3-33-1-1000000001
χ734-42-200011-11-1-11-104-42-200011-11-1-11-10-44-22000-1-11-111-110-44-22000-1-11-111-110-44-22000-1-11-111-1104-42-200011-11-1-11-10
χ744-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i320-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i320-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i320-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3204-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i320
χ754-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i320-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i320-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3204-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i320
χ764-4-2200011-1-11-1-1104-4-2200011-1-11-1-110-442-2000-1-111-111-10-442-2000-1-111-111-10-442-2000-1-111-111-104-4-2200011-1-11-1-110
χ774-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i320-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i320-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i320-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3204-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i320
χ784-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i320-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i320-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3204-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i320
χ796600-22-20000000006600-22-2000000000-6-6002-22000000000-6-6002-22000000000-6-6002-220000000006600-22-2000000000
χ806600-2-220000000006600-2-22000000000-6-60022-2000000000-6-60022-2000000000-6-60022-20000000006600-2-22000000000
χ812222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000
χ822222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-10000000000000000-2-2-2-2-2-2-21−i31+i31−i31−i31−i31+i31+i31+i3-21111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3210000000000000000
χ832222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-10000000000000000-2-2-2-2-2-2-21+i31−i31+i31+i31+i31−i31−i31−i3-21111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3210000000000000000
χ8422-2-2222222-2-22-2-2-2-1-111-1-1-1-1-1-111-11110000000000000000-2-222-2-2-2-2-2-222-222211-1-1111111-1-11-1-1-10000000000000000
χ8522-2-2222−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3-2-1-111-1-1-11−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i3210000000000000000-2-222-2-2-21−i31+i31−i3−1+i3−1+i31+i3−1−i3−1−i3211-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-10000000000000000
χ8622-2-2222−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3-2-1-111-1-1-11+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i3210000000000000000-2-222-2-2-21+i31−i31+i3−1−i3−1−i31−i3−1+i3−1+i3211-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-10000000000000000
χ8766666-2-200000000-2-3-3-3-3-3110000000010000000000000000-6-6-6-6-62200000000233333-1-100000000-10000000000000000
χ8866-6-66-2-2000000002-3-333-31100000000-10000000000000000-6-666-62200000000-233-3-33-1-10000000010000000000000000
χ898-84-400022-22-2-22-20-44-22000-1-11-111-1100000000000000000-88-44000-2-22-222-2204-42-200011-11-1-11-100000000000000000
χ908-84-4000−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i30-44-220001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i3200000000000000000-88-440001−i31+i3−1+i31−i3−1+i3−1−i31+i3−1−i304-42-2000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3200000000000000000
χ918-84-4000−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i30-44-220001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i3200000000000000000-88-440001+i31−i3−1−i31+i3−1−i3−1+i31−i3−1+i304-42-2000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3200000000000000000
χ928-8-4400022-2-22-2-220-442-2000-1-111-111-100000000000000000-884-4000-2-222-222-204-4-2200011-1-11-1-1100000000000000000
χ938-8-44000−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i30-442-20001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i3200000000000000000-884-40001−i31+i3−1+i3−1+i31−i3−1−i3−1−i31+i304-4-22000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3200000000000000000
χ948-8-44000−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i30-442-20001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i3200000000000000000-884-40001+i31−i3−1−i3−1−i31+i3−1+i3−1+i31−i304-4-22000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3200000000000000000
χ95121200-44-4000000000-6-6002-220000000000000000000000000-12-12004-440000000006600-22-20000000000000000000000000
χ96121200-4-44000000000-6-60022-20000000000000000000000000-12-120044-40000000006600-2-220000000000000000000000000

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