Finite Group Databasebeta

← Group #72228457

Character table — Group #72228457

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size12222888888888918181818181818181818181818162162122228888888889181818181818181818181818181621621222288888888891818181818181818181818181816216212222888888888918181818181818181818181818162162
order13333333333333246666121212121212121244266666666666662466661212121212121212442666666666666624666612121212121212124426666666666666246666121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111111111111111111111111-1-11111111111111111111111111111-1-11111111111111111111111111111-1-1
χ3111111111111111-11111-1-1-1-1-1-1-1-11-1111111111111111-11111-1-1-1-1-1-1-1-11-1111111111111111-11111-1-1-1-1-1-1-1-11-1111111111111111-11111-1-1-1-1-1-1-1-11-1
χ4111111111111111-11111-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-1-11
χ522222222222222-20-2-2-2-2000000000022222222222222-20-2-2-2-2000000000022222222222222-20-2-2-2-2000000000022222222222222-20-2-2-2-20000000000
χ622-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-10022-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-10022-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-10022-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-100
χ722-1-1-1222-1-1-1-1-1-12-22-1-1-1-2-21111110022-1-1-1222-1-1-1-1-1-12-22-1-1-1-2-21111110022-1-1-1222-1-1-1-1-1-12-22-1-1-1-2-21111110022-1-1-1222-1-1-1-1-1-12-22-1-1-1-2-211111100
χ822-1-1-1222-1-1-1-1-1-1-20-211100333−3−3−30022-1-1-1222-1-1-1-1-1-1-20-211100333−3−3−30022-1-1-1222-1-1-1-1-1-1-20-211100333−3−3−30022-1-1-1222-1-1-1-1-1-1-20-211100333−3−3−300
χ922-1-1-1222-1-1-1-1-1-1-20-211100−3−3−33330022-1-1-1222-1-1-1-1-1-1-20-211100−3−3−33330022-1-1-1222-1-1-1-1-1-1-20-211100−3−3−33330022-1-1-1222-1-1-1-1-1-1-20-211100−3−3−333300
χ102-12-1-12-1-122-1-1-1-122-12-1-1-1-12-1-12-1-1002-12-1-12-1-122-1-1-1-122-12-1-1-1-12-1-12-1-1002-12-1-12-1-122-1-1-1-122-12-1-1-1-12-1-12-1-1002-12-1-12-1-122-1-1-1-122-12-1-1-1-12-1-12-1-100
χ112-12-1-12-1-122-1-1-1-12-2-12-1-111-211-211002-12-1-12-1-122-1-1-1-12-2-12-1-111-211-211002-12-1-12-1-122-1-1-1-12-2-12-1-111-211-211002-12-1-12-1-122-1-1-1-12-2-12-1-111-211-21100
χ122-12-1-12-1-122-1-1-1-1-201-2113−303−303−3002-12-1-12-1-122-1-1-1-1-201-2113−303−303−3002-12-1-12-1-122-1-1-1-1-201-2113−303−303−3002-12-1-12-1-122-1-1-1-1-201-2113−303−303−300
χ132-12-1-12-1-122-1-1-1-1-201-211−330−330−33002-12-1-12-1-122-1-1-1-1-201-211−330−330−33002-12-1-12-1-122-1-1-1-1-201-211−330−330−33002-12-1-12-1-122-1-1-1-1-201-211−330−330−3300
χ142-1-12-12-1-1-1-122-1-122-1-12-1-1-1-12-1-1-12002-1-12-12-1-1-1-122-1-122-1-12-1-1-1-12-1-1-12002-1-12-12-1-1-1-122-1-122-1-12-1-1-1-12-1-1-12002-1-12-12-1-1-1-122-1-122-1-12-1-1-1-12-1-1-1200
χ152-1-12-12-1-1-1-122-1-12-2-1-12-1111-2111-2002-1-12-12-1-1-1-122-1-12-2-1-12-1111-2111-2002-1-12-12-1-1-1-122-1-12-2-1-12-1111-2111-2002-1-12-12-1-1-1-122-1-12-2-1-12-1111-2111-200
χ162-1-12-12-1-1-1-122-1-1-2011-213−3−3033−30002-1-12-12-1-1-1-122-1-1-2011-213−3−3033−30002-1-12-12-1-1-1-122-1-1-2011-213−3−3033−30002-1-12-12-1-1-1-122-1-1-2011-213−3−3033−3000
χ172-1-12-12-1-1-1-122-1-1-2011-21−3330−3−330002-1-12-12-1-1-1-122-1-1-2011-21−3330−3−330002-1-12-12-1-1-1-122-1-1-2011-21−3330−3−330002-1-12-12-1-1-1-122-1-1-2011-21−3330−3−33000
χ182-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-1002-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-1002-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-1002-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-100
χ192-1-1-122-1-1-1-1-1-1222-2-1-1-121111-21-21002-1-1-122-1-1-1-1-1-1222-2-1-1-121111-21-21002-1-1-122-1-1-1-1-1-1222-2-1-1-121111-21-21002-1-1-122-1-1-1-1-1-1222-2-1-1-121111-21-2100
χ202-1-1-122-1-1-1-1-1-122-20111-23−33−30−303002-1-1-122-1-1-1-1-1-122-20111-23−33−30−303002-1-1-122-1-1-1-1-1-122-20111-23−33−30−303002-1-1-122-1-1-1-1-1-122-20111-23−33−30−30300
χ212-1-1-122-1-1-1-1-1-122-20111-2−33−33030−3002-1-1-122-1-1-1-1-1-122-20111-2−33−33030−3002-1-1-122-1-1-1-1-1-122-20111-2−33−33030−3002-1-1-122-1-1-1-1-1-122-20111-2−33−33030−300
χ2288888-1-1-1-1-1-1-1-1-1000000000000000088888-1-1-1-1-1-1-1-1-1000000000000000088888-1-1-1-1-1-1-1-1-1000000000000000088888-1-1-1-1-1-1-1-1-10000000000000000
χ2388-4-4-4-1-1-11−3i321+3i321−3i321+3i321−3i321+3i32000000000000000088-4-4-4-1-1-11−3i321+3i321−3i321+3i321−3i321+3i32000000000000000088-4-4-4-1-1-11−3i321+3i321−3i321+3i321−3i321+3i32000000000000000088-4-4-4-1-1-11−3i321+3i321−3i321+3i321−3i321+3i320000000000000000
χ2488-4-4-4-1-1-11+3i321−3i321+3i321−3i321+3i321−3i32000000000000000088-4-4-4-1-1-11+3i321−3i321+3i321−3i321+3i321−3i32000000000000000088-4-4-4-1-1-11+3i321−3i321+3i321−3i321+3i321−3i32000000000000000088-4-4-4-1-1-11+3i321−3i321+3i321−3i321+3i321−3i320000000000000000
χ258-48-4-4-11−3i321+3i32-1-11−3i321+3i321+3i321−3i3200000000000000008-48-4-4-11−3i321+3i32-1-11−3i321+3i321+3i321−3i3200000000000000008-48-4-4-11−3i321+3i32-1-11−3i321+3i321+3i321−3i3200000000000000008-48-4-4-11−3i321+3i32-1-11−3i321+3i321+3i321−3i320000000000000000
χ268-48-4-4-11+3i321−3i32-1-11+3i321−3i321−3i321+3i3200000000000000008-48-4-4-11+3i321−3i32-1-11+3i321−3i321−3i321+3i3200000000000000008-48-4-4-11+3i321−3i32-1-11+3i321−3i321−3i321+3i3200000000000000008-48-4-4-11+3i321−3i32-1-11+3i321−3i321−3i321+3i320000000000000000
χ278-4-48-4-11−3i321+3i321+3i321−3i32-1-11−3i321+3i3200000000000000008-4-48-4-11−3i321+3i321+3i321−3i32-1-11−3i321+3i3200000000000000008-4-48-4-11−3i321+3i321+3i321−3i32-1-11−3i321+3i3200000000000000008-4-48-4-11−3i321+3i321+3i321−3i32-1-11−3i321+3i320000000000000000
χ288-4-48-4-11+3i321−3i321−3i321+3i32-1-11+3i321−3i3200000000000000008-4-48-4-11+3i321−3i321−3i321+3i32-1-11+3i321−3i3200000000000000008-4-48-4-11+3i321−3i321−3i321+3i32-1-11+3i321−3i3200000000000000008-4-48-4-11+3i321−3i321−3i321+3i32-1-11+3i321−3i320000000000000000
χ298-4-4-48-11−3i321+3i321−3i321+3i321+3i321−3i32-1-100000000000000008-4-4-48-11−3i321+3i321−3i321+3i321+3i321−3i32-1-100000000000000008-4-4-48-11−3i321+3i321−3i321+3i321+3i321−3i32-1-100000000000000008-4-4-48-11−3i321+3i321−3i321+3i321+3i321−3i32-1-10000000000000000
χ308-4-4-48-11+3i321−3i321+3i321−3i321−3i321+3i32-1-100000000000000008-4-4-48-11+3i321−3i321+3i321−3i321−3i321+3i32-1-100000000000000008-4-4-48-11+3i321−3i321+3i321−3i321−3i321+3i32-1-100000000000000008-4-4-48-11+3i321−3i321+3i321−3i321−3i321+3i32-1-10000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ321111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ33111111111111111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-11111111111111111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-11
χ34111111111111111-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1111111111111111-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1
χ3522222222222222-20-2-2-2-20000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2202222000000000022222222222222-20-2-2-2-20000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-22022220000000000
χ3622-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-100-2-2111-2-2-2111111-2-2-2111-2-21111110022-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-100-2-2111-2-2-2111111-2-2-2111-2-211111100
χ3722-1-1-1222-1-1-1-1-1-12-22-1-1-1-2-211111100-2-2111-2-2-2111111-22-211122-1-1-1-1-1-10022-1-1-1222-1-1-1-1-1-12-22-1-1-1-2-211111100-2-2111-2-2-2111111-22-211122-1-1-1-1-1-100
χ3822-1-1-1222-1-1-1-1-1-1-20-211100333−3−3−300-2-2111-2-2-2111111202-1-1-100−3−3−33330022-1-1-1222-1-1-1-1-1-1-20-211100333−3−3−300-2-2111-2-2-2111111202-1-1-100−3−3−333300
χ3922-1-1-1222-1-1-1-1-1-1-20-211100−3−3−333300-2-2111-2-2-2111111202-1-1-100333−3−3−30022-1-1-1222-1-1-1-1-1-1-20-211100−3−3−333300-2-2111-2-2-2111111202-1-1-100333−3−3−300
χ402-12-1-12-1-122-1-1-1-122-12-1-1-1-12-1-12-1-100-21-211-211-2-21111-2-21-21111-211-211002-12-1-12-1-122-1-1-1-122-12-1-1-1-12-1-12-1-100-21-211-211-2-21111-2-21-21111-211-21100
χ412-12-1-12-1-122-1-1-1-12-2-12-1-111-211-21100-21-211-211-2-21111-221-211-1-12-1-12-1-1002-12-1-12-1-122-1-1-1-12-2-12-1-111-211-21100-21-211-211-2-21111-221-211-1-12-1-12-1-100
χ422-12-1-12-1-122-1-1-1-1-201-2113−303−303−300-21-211-211-2-2111120-12-1-1−330−330−33002-12-1-12-1-122-1-1-1-1-201-2113−303−303−300-21-211-211-2-2111120-12-1-1−330−330−3300
χ432-12-1-12-1-122-1-1-1-1-201-211−330−330−3300-21-211-211-2-2111120-12-1-13−303−303−3002-12-1-12-1-122-1-1-1-1-201-211−330−330−3300-21-211-211-2-2111120-12-1-13−303−303−300
χ442-1-12-12-1-1-1-122-1-122-1-12-1-1-1-12-1-1-1200-211-21-21111-2-211-2-211-21111-2111-2002-1-12-12-1-1-1-122-1-122-1-12-1-1-1-12-1-1-1200-211-21-21111-2-211-2-211-21111-2111-200
χ452-1-12-12-1-1-1-122-1-12-2-1-12-1111-2111-200-211-21-21111-2-211-2211-21-1-1-12-1-1-12002-1-12-12-1-1-1-122-1-12-2-1-12-1111-2111-200-211-21-21111-2-211-2211-21-1-1-12-1-1-1200
χ462-1-12-12-1-1-1-122-1-1-2011-213−3−3033−3000-211-21-21111-2-21120-1-12-1−3330−3−330002-1-12-12-1-1-1-122-1-1-2011-213−3−3033−3000-211-21-21111-2-21120-1-12-1−3330−3−33000
χ472-1-12-12-1-1-1-122-1-1-2011-21−3330−3−33000-211-21-21111-2-21120-1-12-13−3−3033−30002-1-12-12-1-1-1-122-1-1-2011-21−3330−3−33000-211-21-21111-2-21120-1-12-13−3−3033−3000
χ482-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-100-2111-2-2111111-2-2-2-2111-21111-21-21002-1-1-122-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-100-2111-2-2111111-2-2-2-2111-21111-21-2100
χ492-1-1-122-1-1-1-1-1-1222-2-1-1-121111-21-2100-2111-2-2111111-2-2-22111-2-1-1-1-12-12-1002-1-1-122-1-1-1-1-1-1222-2-1-1-121111-21-2100-2111-2-2111111-2-2-22111-2-1-1-1-12-12-100
χ502-1-1-122-1-1-1-1-1-122-20111-23−33−30−30300-2111-2-2111111-2-220-1-1-12−33−33030−3002-1-1-122-1-1-1-1-1-122-20111-23−33−30−30300-2111-2-2111111-2-220-1-1-12−33−33030−300
χ512-1-1-122-1-1-1-1-1-122-20111-2−33−33030−300-2111-2-2111111-2-220-1-1-123−33−30−303002-1-1-122-1-1-1-1-1-122-20111-2−33−33030−300-2111-2-2111111-2-220-1-1-123−33−30−30300
χ5288888-1-1-1-1-1-1-1-1-10000000000000000-8-8-8-8-8111111111000000000000000088888-1-1-1-1-1-1-1-1-10000000000000000-8-8-8-8-81111111110000000000000000
χ5388-4-4-4-1-1-11−3i321+3i321−3i321+3i321−3i321+3i320000000000000000-8-8444111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000088-4-4-4-1-1-11−3i321+3i321−3i321+3i321−3i321+3i320000000000000000-8-8444111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i320000000000000000
χ5488-4-4-4-1-1-11+3i321−3i321+3i321−3i321+3i321−3i320000000000000000-8-8444111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000088-4-4-4-1-1-11+3i321−3i321+3i321−3i321+3i321−3i320000000000000000-8-8444111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i320000000000000000
χ558-48-4-4-11−3i321+3i32-1-11−3i321+3i321+3i321−3i320000000000000000-84-8441−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i3200000000000000008-48-4-4-11−3i321+3i32-1-11−3i321+3i321+3i321−3i320000000000000000-84-8441−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i320000000000000000
χ568-48-4-4-11+3i321−3i32-1-11+3i321−3i321−3i321+3i320000000000000000-84-8441−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i3200000000000000008-48-4-4-11+3i321−3i32-1-11+3i321−3i321−3i321+3i320000000000000000-84-8441−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i320000000000000000
χ578-4-48-4-11−3i321+3i321+3i321−3i32-1-11−3i321+3i320000000000000000-844-841−1+3i32−1−3i32−1−3i32−1+3i3211−1+3i32−1−3i3200000000000000008-4-48-4-11−3i321+3i321+3i321−3i32-1-11−3i321+3i320000000000000000-844-841−1+3i32−1−3i32−1−3i32−1+3i3211−1+3i32−1−3i320000000000000000
χ588-4-48-4-11+3i321−3i321−3i321+3i32-1-11+3i321−3i320000000000000000-844-841−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i3200000000000000008-4-48-4-11+3i321−3i321−3i321+3i32-1-11+3i321−3i320000000000000000-844-841−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i320000000000000000
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χ1188-4-48-4-11+3i321−3i321−3i321+3i32-1-11+3i321−3i320000000000000000-844-841−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i320000000000000000-844-841−1−3i32−1+3i32−1+3i32−1−3i3211−1−3i32−1+3i3200000000000000008-4-48-4-11+3i321−3i321−3i321+3i32-1-11+3i321−3i320000000000000000
χ1198-4-4-48-11−3i321+3i321−3i321+3i321+3i321−3i32-1-10000000000000000-8444-81−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32110000000000000000-8444-81−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i321100000000000000008-4-4-48-11−3i321+3i321−3i321+3i321+3i321−3i32-1-10000000000000000
χ1208-4-4-48-11+3i321−3i321+3i321−3i321−3i321+3i32-1-10000000000000000-8444-81−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32110000000000000000-8444-81−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i321100000000000000008-4-4-48-11+3i321−3i321+3i321−3i321−3i321+3i32-1-10000000000000000

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