Finite Group Databasebeta

← Group #72274501

Character table — Group #72274501

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11226661212121212123232323232323636727272112266612121212121232323232323236367272721122666121212121212323232323232363672727211226661212121212123232323232323636727272
order12362224666121233366622444226622246661212666666224442266222466612126666662244422662224666121266666622444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1
χ32222222222222-1-1-1-1-1-1000002222222222222-1-1-1-1-1-1000002222222222222-1-1-1-1-1-1000002222222222222-1-1-1-1-1-100000
χ422-1-12222-1-1-1-1-12-1-12-1-10000022-1-12222-1-1-1-1-12-1-12-1-10000022-1-12222-1-1-1-1-12-1-12-1-10000022-1-12222-1-1-1-1-12-1-12-1-100000
χ522-1-12222-1-1-1-1-1-12-1-12-10000022-1-12222-1-1-1-1-1-12-1-12-10000022-1-12222-1-1-1-1-1-12-1-12-10000022-1-12222-1-1-1-1-1-12-1-12-100000
χ622-1-12222-1-1-1-1-1-1-12-1-120000022-1-12222-1-1-1-1-1-1-12-1-120000022-1-12222-1-1-1-1-1-1-12-1-120000022-1-12222-1-1-1-1-1-1-12-1-1200000
χ733333-1-1-13-1-1-1-1000000111-1-133333-1-1-13-1-1-1-1000000111-1-133333-1-1-13-1-1-1-1000000111-1-133333-1-1-13-1-1-1-1000000111-1-1
χ833333-1-1-13-1-1-1-1000000-1-1-11133333-1-1-13-1-1-1-1000000-1-1-11133333-1-1-13-1-1-1-1000000-1-1-11133333-1-1-13-1-1-1-1000000-1-1-111
χ93333-13-1-1-13-1-1-100000011-11-13333-13-1-1-13-1-1-100000011-11-13333-13-1-1-13-1-1-100000011-11-13333-13-1-1-13-1-1-100000011-11-1
χ103333-13-1-1-13-1-1-1000000-1-11-113333-13-1-1-13-1-1-1000000-1-11-113333-13-1-1-13-1-1-1000000-1-11-113333-13-1-1-13-1-1-1000000-1-11-11
χ113333-1-13-1-1-13-1-100000011-1-113333-1-13-1-1-13-1-100000011-1-113333-1-13-1-1-13-1-100000011-1-113333-1-13-1-1-13-1-100000011-1-11
χ123333-1-13-1-1-13-1-1000000-1-111-13333-1-13-1-1-13-1-1000000-1-111-13333-1-13-1-1-13-1-1000000-1-111-13333-1-13-1-1-13-1-1000000-1-111-1
χ134-44-4000000000111-1-1-12-20004-44-4000000000111-1-1-12-20004-44-4000000000111-1-1-12-20004-44-4000000000111-1-1-12-2000
χ144-44-4000000000111-1-1-1-220004-44-4000000000111-1-1-1-220004-44-4000000000111-1-1-1-220004-44-4000000000111-1-1-1-22000
χ156666-2-2-22-2-2-222000000000006666-2-2-22-2-2-222000000000006666-2-2-22-2-2-222000000000006666-2-2-22-2-2-22200000000000
χ1666-3-36-2-2-2-311110000000000066-3-36-2-2-2-311110000000000066-3-36-2-2-2-311110000000000066-3-36-2-2-2-3111100000000000
χ1766-3-3-26-2-21-31110000000000066-3-3-26-2-21-31110000000000066-3-3-26-2-21-31110000000000066-3-3-26-2-21-311100000000000
χ1866-3-3-2-26-211-3110000000000066-3-3-2-26-211-3110000000000066-3-3-2-26-211-3110000000000066-3-3-2-26-211-31100000000000
χ1966-3-3-2-2-22111−1+2i3−1−2i30000000000066-3-3-2-2-22111−1+2i3−1−2i30000000000066-3-3-2-2-22111−1+2i3−1−2i30000000000066-3-3-2-2-22111−1+2i3−1−2i300000000000
χ2066-3-3-2-2-22111−1−2i3−1+2i30000000000066-3-3-2-2-22111−1−2i3−1+2i30000000000066-3-3-2-2-22111−1−2i3−1+2i30000000000066-3-3-2-2-22111−1−2i3−1+2i300000000000
χ218-88-8000000000-1-1-1111000008-88-8000000000-1-1-1111000008-88-8000000000-1-1-1111000008-88-8000000000-1-1-111100000
χ228-8-440000000002-1-1-211000008-8-440000000002-1-1-211000008-8-440000000002-1-1-211000008-8-440000000002-1-1-21100000
χ238-8-44000000000-12-11-21000008-8-44000000000-12-11-21000008-8-44000000000-12-11-21000008-8-44000000000-12-11-2100000
χ248-8-44000000000-1-1211-2000008-8-44000000000-1-1211-2000008-8-44000000000-1-1211-2000008-8-44000000000-1-1211-200000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ261111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ272222222222222-1-1-1-1-1-100000-2-2-2-2-2-2-2-2-2-2-2-2-2111111000002222222222222-1-1-1-1-1-100000-2-2-2-2-2-2-2-2-2-2-2-2-211111100000
χ2822-1-12222-1-1-1-1-12-1-12-1-100000-2-211-2-2-2-211111-211-2110000022-1-12222-1-1-1-1-12-1-12-1-100000-2-211-2-2-2-211111-211-21100000
χ2922-1-12222-1-1-1-1-1-12-1-12-100000-2-211-2-2-2-2111111-211-210000022-1-12222-1-1-1-1-1-12-1-12-100000-2-211-2-2-2-2111111-211-2100000
χ3022-1-12222-1-1-1-1-1-1-12-1-1200000-2-211-2-2-2-21111111-211-20000022-1-12222-1-1-1-1-1-1-12-1-1200000-2-211-2-2-2-21111111-211-200000
χ3133333-1-1-13-1-1-1-1000000111-1-1-3-3-3-3-3111-31111000000-1-1-11133333-1-1-13-1-1-1-1000000111-1-1-3-3-3-3-3111-31111000000-1-1-111
χ3233333-1-1-13-1-1-1-1000000-1-1-111-3-3-3-3-3111-31111000000111-1-133333-1-1-13-1-1-1-1000000-1-1-111-3-3-3-3-3111-31111000000111-1-1
χ333333-13-1-1-13-1-1-100000011-11-1-3-3-3-31-3111-3111000000-1-11-113333-13-1-1-13-1-1-100000011-11-1-3-3-3-31-3111-3111000000-1-11-11
χ343333-13-1-1-13-1-1-1000000-1-11-11-3-3-3-31-3111-311100000011-11-13333-13-1-1-13-1-1-1000000-1-11-11-3-3-3-31-3111-311100000011-11-1
χ353333-1-13-1-1-13-1-100000011-1-11-3-3-3-311-3111-311000000-1-111-13333-1-13-1-1-13-1-100000011-1-11-3-3-3-311-3111-311000000-1-111-1
χ363333-1-13-1-1-13-1-1000000-1-111-1-3-3-3-311-3111-31100000011-1-113333-1-13-1-1-13-1-1000000-1-111-1-3-3-3-311-3111-31100000011-1-11
χ374-44-4000000000111-1-1-12-2000-44-44000000000-1-1-1111-220004-44-4000000000111-1-1-12-2000-44-44000000000-1-1-1111-22000
χ384-44-4000000000111-1-1-1-22000-44-44000000000-1-1-11112-20004-44-4000000000111-1-1-1-22000-44-44000000000-1-1-11112-2000
χ396666-2-2-22-2-2-22200000000000-6-6-6-6222-2222-2-2000000000006666-2-2-22-2-2-22200000000000-6-6-6-6222-2222-2-200000000000
χ4066-3-36-2-2-2-3111100000000000-6-633-62223-1-1-1-10000000000066-3-36-2-2-2-3111100000000000-6-633-62223-1-1-1-100000000000
χ4166-3-3-26-2-21-311100000000000-6-6332-622-13-1-1-10000000000066-3-3-26-2-21-311100000000000-6-6332-622-13-1-1-100000000000
χ4266-3-3-2-26-211-31100000000000-6-63322-62-1-13-1-10000000000066-3-3-2-26-211-31100000000000-6-63322-62-1-13-1-100000000000
χ4366-3-3-2-2-22111−1+2i3−1−2i300000000000-6-633222-2-1-1-11−2i31+2i30000000000066-3-3-2-2-22111−1+2i3−1−2i300000000000-6-633222-2-1-1-11−2i31+2i300000000000
χ4466-3-3-2-2-22111−1−2i3−1+2i300000000000-6-633222-2-1-1-11+2i31−2i30000000000066-3-3-2-2-22111−1−2i3−1+2i300000000000-6-633222-2-1-1-11+2i31−2i300000000000
χ458-88-8000000000-1-1-111100000-88-88000000000111-1-1-1000008-88-8000000000-1-1-111100000-88-88000000000111-1-1-100000
χ468-8-440000000002-1-1-21100000-884-4000000000-2112-1-1000008-8-440000000002-1-1-21100000-884-4000000000-2112-1-100000
χ478-8-44000000000-12-11-2100000-884-40000000001-21-12-1000008-8-44000000000-12-11-2100000-884-40000000001-21-12-100000
χ488-8-44000000000-1-1211-200000-884-400000000011-2-1-12000008-8-44000000000-1-1211-200000-884-400000000011-2-1-1200000
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
χ501111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ512222222222222-1-1-1-1-1-1000002222222222222-1-1-1-1-1-100000-2-2-2-2-2-2-2-2-2-2-2-2-211111100000-2-2-2-2-2-2-2-2-2-2-2-2-211111100000
χ5222-1-12222-1-1-1-1-12-1-12-1-10000022-1-12222-1-1-1-1-12-1-12-1-100000-2-211-2-2-2-211111-211-21100000-2-211-2-2-2-211111-211-21100000
χ5322-1-12222-1-1-1-1-1-12-1-12-10000022-1-12222-1-1-1-1-1-12-1-12-100000-2-211-2-2-2-2111111-211-2100000-2-211-2-2-2-2111111-211-2100000
χ5422-1-12222-1-1-1-1-1-1-12-1-120000022-1-12222-1-1-1-1-1-1-12-1-1200000-2-211-2-2-2-21111111-211-200000-2-211-2-2-2-21111111-211-200000
χ5533333-1-1-13-1-1-1-1000000111-1-133333-1-1-13-1-1-1-1000000111-1-1-3-3-3-3-3111-31111000000-1-1-111-3-3-3-3-3111-31111000000-1-1-111
χ5633333-1-1-13-1-1-1-1000000-1-1-11133333-1-1-13-1-1-1-1000000-1-1-111-3-3-3-3-3111-31111000000111-1-1-3-3-3-3-3111-31111000000111-1-1
χ573333-13-1-1-13-1-1-100000011-11-13333-13-1-1-13-1-1-100000011-11-1-3-3-3-31-3111-3111000000-1-11-11-3-3-3-31-3111-3111000000-1-11-11
χ583333-13-1-1-13-1-1-1000000-1-11-113333-13-1-1-13-1-1-1000000-1-11-11-3-3-3-31-3111-311100000011-11-1-3-3-3-31-3111-311100000011-11-1
χ593333-1-13-1-1-13-1-100000011-1-113333-1-13-1-1-13-1-100000011-1-11-3-3-3-311-3111-311000000-1-111-1-3-3-3-311-3111-311000000-1-111-1
χ603333-1-13-1-1-13-1-1000000-1-111-13333-1-13-1-1-13-1-1000000-1-111-1-3-3-3-311-3111-31100000011-1-11-3-3-3-311-3111-31100000011-1-11
χ614-44-4000000000111-1-1-12-20004-44-4000000000111-1-1-12-2000-44-44000000000-1-1-1111-22000-44-44000000000-1-1-1111-22000
χ624-44-4000000000111-1-1-1-220004-44-4000000000111-1-1-1-22000-44-44000000000-1-1-11112-2000-44-44000000000-1-1-11112-2000
χ636666-2-2-22-2-2-222000000000006666-2-2-22-2-2-22200000000000-6-6-6-6222-2222-2-200000000000-6-6-6-6222-2222-2-200000000000
χ6466-3-36-2-2-2-311110000000000066-3-36-2-2-2-3111100000000000-6-633-62223-1-1-1-100000000000-6-633-62223-1-1-1-100000000000
χ6566-3-3-26-2-21-31110000000000066-3-3-26-2-21-311100000000000-6-6332-622-13-1-1-100000000000-6-6332-622-13-1-1-100000000000
χ6666-3-3-2-26-211-3110000000000066-3-3-2-26-211-31100000000000-6-63322-62-1-13-1-100000000000-6-63322-62-1-13-1-100000000000
χ6766-3-3-2-2-22111−1+2i3−1−2i30000000000066-3-3-2-2-22111−1+2i3−1−2i300000000000-6-633222-2-1-1-11−2i31+2i300000000000-6-633222-2-1-1-11−2i31+2i300000000000
χ6866-3-3-2-2-22111−1−2i3−1+2i30000000000066-3-3-2-2-22111−1−2i3−1+2i300000000000-6-633222-2-1-1-11+2i31−2i300000000000-6-633222-2-1-1-11+2i31−2i300000000000
χ698-88-8000000000-1-1-1111000008-88-8000000000-1-1-111100000-88-88000000000111-1-1-100000-88-88000000000111-1-1-100000
χ708-8-440000000002-1-1-211000008-8-440000000002-1-1-21100000-884-4000000000-2112-1-100000-884-4000000000-2112-1-100000
χ718-8-44000000000-12-11-21000008-8-44000000000-12-11-2100000-884-40000000001-21-12-100000-884-40000000001-21-12-100000
χ728-8-44000000000-1-1211-2000008-8-44000000000-1-1211-200000-884-400000000011-2-1-1200000-884-400000000011-2-1-1200000
χ73111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111
χ741111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1
χ752222222222222-1-1-1-1-1-100000-2-2-2-2-2-2-2-2-2-2-2-2-211111100000-2-2-2-2-2-2-2-2-2-2-2-2-2111111000002222222222222-1-1-1-1-1-100000
χ7622-1-12222-1-1-1-1-12-1-12-1-100000-2-211-2-2-2-211111-211-21100000-2-211-2-2-2-211111-211-2110000022-1-12222-1-1-1-1-12-1-12-1-100000
χ7722-1-12222-1-1-1-1-1-12-1-12-100000-2-211-2-2-2-2111111-211-2100000-2-211-2-2-2-2111111-211-210000022-1-12222-1-1-1-1-1-12-1-12-100000
χ7822-1-12222-1-1-1-1-1-1-12-1-1200000-2-211-2-2-2-21111111-211-200000-2-211-2-2-2-21111111-211-20000022-1-12222-1-1-1-1-1-1-12-1-1200000
χ7933333-1-1-13-1-1-1-1000000111-1-1-3-3-3-3-3111-31111000000-1-1-111-3-3-3-3-3111-31111000000-1-1-11133333-1-1-13-1-1-1-1000000111-1-1
χ8033333-1-1-13-1-1-1-1000000-1-1-111-3-3-3-3-3111-31111000000111-1-1-3-3-3-3-3111-31111000000111-1-133333-1-1-13-1-1-1-1000000-1-1-111
χ813333-13-1-1-13-1-1-100000011-11-1-3-3-3-31-3111-3111000000-1-11-11-3-3-3-31-3111-3111000000-1-11-113333-13-1-1-13-1-1-100000011-11-1
χ823333-13-1-1-13-1-1-1000000-1-11-11-3-3-3-31-3111-311100000011-11-1-3-3-3-31-3111-311100000011-11-13333-13-1-1-13-1-1-1000000-1-11-11
χ833333-1-13-1-1-13-1-100000011-1-11-3-3-3-311-3111-311000000-1-111-1-3-3-3-311-3111-311000000-1-111-13333-1-13-1-1-13-1-100000011-1-11
χ843333-1-13-1-1-13-1-1000000-1-111-1-3-3-3-311-3111-31100000011-1-11-3-3-3-311-3111-31100000011-1-113333-1-13-1-1-13-1-1000000-1-111-1
χ854-44-4000000000111-1-1-12-2000-44-44000000000-1-1-1111-22000-44-44000000000-1-1-1111-220004-44-4000000000111-1-1-12-2000
χ864-44-4000000000111-1-1-1-22000-44-44000000000-1-1-11112-2000-44-44000000000-1-1-11112-20004-44-4000000000111-1-1-1-22000
χ876666-2-2-22-2-2-22200000000000-6-6-6-6222-2222-2-200000000000-6-6-6-6222-2222-2-2000000000006666-2-2-22-2-2-22200000000000
χ8866-3-36-2-2-2-3111100000000000-6-633-62223-1-1-1-100000000000-6-633-62223-1-1-1-10000000000066-3-36-2-2-2-3111100000000000
χ8966-3-3-26-2-21-311100000000000-6-6332-622-13-1-1-100000000000-6-6332-622-13-1-1-10000000000066-3-3-26-2-21-311100000000000
χ9066-3-3-2-26-211-31100000000000-6-63322-62-1-13-1-100000000000-6-63322-62-1-13-1-10000000000066-3-3-2-26-211-31100000000000
χ9166-3-3-2-2-22111−1+2i3−1−2i300000000000-6-633222-2-1-1-11−2i31+2i300000000000-6-633222-2-1-1-11−2i31+2i30000000000066-3-3-2-2-22111−1+2i3−1−2i300000000000
χ9266-3-3-2-2-22111−1−2i3−1+2i300000000000-6-633222-2-1-1-11+2i31−2i300000000000-6-633222-2-1-1-11+2i31−2i30000000000066-3-3-2-2-22111−1−2i3−1+2i300000000000
χ938-88-8000000000-1-1-111100000-88-88000000000111-1-1-100000-88-88000000000111-1-1-1000008-88-8000000000-1-1-111100000
χ948-8-440000000002-1-1-21100000-884-4000000000-2112-1-100000-884-4000000000-2112-1-1000008-8-440000000002-1-1-21100000
χ958-8-44000000000-12-11-2100000-884-40000000001-21-12-100000-884-40000000001-21-12-1000008-8-44000000000-12-11-2100000
χ968-8-44000000000-1-1211-200000-884-400000000011-2-1-1200000-884-400000000011-2-1-12000008-8-44000000000-1-1211-200000

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