Finite Group Databasebeta

← Group #13181519

Character table — Group #13181519

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112222222222244444444444444444444444444444488888888888888888888888888888888888899181818181818181818181836363636363654545454545454545454545454545454
order1223444444666333333666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212442222224121212126666668888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111-1-1-1-111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111-1-1-1-111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111-1-1-1-111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-111-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-111-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-111-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-11-1-111-1-11-11-11-11-11-11-11-11-11-11-11-1
χ1811-111-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-11-1-111-1-11-11-11-1-11-11-11-11-11-11-11-11
χ1911-111-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-111-1-111-11-11-11i−ii−ii−ii−i−ii−ii−ii−ii
χ2011-111-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-111-1-111-11-11-11−ii−ii−ii−iii−ii−ii−ii−i
χ2111-111-1-11-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-11-11-111-1-11-1-11-111-11-1-11-111-11-1-11-11
χ2211-111-1-11-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111-1-11-11-111-1-11-1-11-11-11-111-11-1-11-111-11-1
χ2311-111-1-11-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-111-11-11-1-111-111-11-1i−ii−i−ii−ii−ii−iii−ii−i
χ2411-111-1-11-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-111-11-11-1-111-111-11-1−ii−iii−ii−ii−ii−i−ii−ii
χ2511-11-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-111-1-1-111-1-111-1-111-1-111-1-111-1-11
χ2611-11-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-111-1-1-111-1-11-111-1-111-1-111-1-111-1
χ2711-11-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-11-1-1111-1-111-1i−i−iii−i−ii−iii−i−iii−i
χ2811-11-111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-11-1-1111-1-111-1−iii−i−iii−ii−i−iii−i−ii
χ2911-11-11-111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-11-111-1-111-1-1-11-111-11-1-11-111-11-1-11-111-1
χ3011-11-11-111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-11-111-1-111-1-1-11-111-1-111-11-1-11-111-11-1-11
χ3111-11-11-111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-111-1-1111-11-1-11i−i−ii−iii−i−iii−ii−i−ii
χ3211-11-11-111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-111-1-1111-11-1-11−iii−ii−i−iii−i−ii−iii−i
χ33222-1222222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222-1222222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-211111111110000000000000000
χ35222-122-2-2-2-2-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-211112222-2-2-2-22-1-1-1-1-1-111110000000000000000
χ36222-122-2-2-2-2-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-21111-2-2-2-22222-2111111-1-1-1-10000000000000000
χ37222-1-2-222-2-2-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-111-1-111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-222-2-22-1-1-1-111-1-1110000000000000000
χ38222-1-2-222-2-2-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-111-1-111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-222-2-222-21111-1-111-1-10000000000000000
χ39222-1-2-2-2-222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-11111-1-1-2-21111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-122-2-2-2-2222-1-1-1-11111-1-10000000000000000
χ40222-1-2-2-2-222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-11111-1-1-2-21111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-22222-2-2-21111-1-1-1-1110000000000000000
χ4122-2-12-22-22-211-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-11-11-1122-1-1-1-1-2-2111122-1-1-1-1-2-2111122-1-1-1-1-2-21111222-22-22-2-2-1-111-11-11-110000000000000000
χ4222-2-12-22-22-211-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-11-11-1122-1-1-1-1-2-2111122-1-1-1-1-2-2111122-1-1-1-1-2-21111-2-2-22-22-22211-1-11-11-11-10000000000000000
χ4322-2-12-2-22-2211-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-111-11-122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-2111122-1-1-1-1222-2-22-22-2-1-111-111-11-10000000000000000
χ4422-2-12-2-22-2211-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-111-11-122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-2111122-1-1-1-1-2-2-222-22-2211-1-11-1-11-110000000000000000
χ4522-2-1-222-2-2211-122-1-1-1-1-2-2-2-21111111122-1-1-1-11-1-111-1-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-2111122-1-1-1-122-222-2-22-2-1-1111-1-111-10000000000000000
χ4622-2-1-222-2-2211-122-1-1-1-1-2-2-2-21111111122-1-1-1-11-1-111-1-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-22-2-222-2211-1-1-111-1-110000000000000000
χ4722-2-1-22-222-211-122-1-1-1-1-2-2-2-21111111122-1-1-1-11-11-1-11-2-2111122-1-1-1-1-2-2111122-1-1-1-122-1-1-1-1-2-2111122-22-222-2-2-1-1111-11-1-110000000000000000
χ4822-2-1-22-222-211-122-1-1-1-1-2-2-2-21111111122-1-1-1-11-11-1-11-2-2111122-1-1-1-1-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-22-22-2-22211-1-1-11-111-10000000000000000
χ4944444444444441-211-2-211-2-21111-2-2-2-21-211-2-24444441-211-2-21-211-2-21-211-2-21-211-2-21-211-2-21-211-2-200000000000000000000000000000000000
χ504444444444444-21-2-211-2-211-2-2-2-21111-21-2-211444444-21-2-211-21-2-211-21-2-211-21-2-211-21-2-211-21-2-21100000000000000000000000000000000000
χ51444444-4-4-4-44441-211-2-211-2-21111-2-2-2-21-211-2-244-4-4-4-41-211-2-21-211-2-2-12-1-122-12-1-122-12-1-122-12-1-12200000000000000000000000000000000000
χ52444444-4-4-4-4444-21-2-211-2-211-2-2-2-21111-21-2-21144-4-4-4-4-21-2-211-21-2-2112-122-1-12-122-1-12-122-1-12-122-1-100000000000000000000000000000000000
χ534444-4-444-4-44441-211-2-211-2-21111-2-2-2-21-211-2-2-4-444-4-4-12-1-122-12-1-1221-211-2-21-211-2-2-12-1-122-12-1-12200000000000000000000000000000000000
χ544444-4-444-4-4444-21-2-211-2-211-2-2-2-21111-21-2-211-4-444-4-42-122-1-12-122-1-1-21-2-211-21-2-2112-122-1-12-122-1-100000000000000000000000000000000000
χ554444-4-4-4-4444441-211-2-211-2-21111-2-2-2-21-211-2-2-4-4-4-444-12-1-122-12-1-122-12-1-122-12-1-1221-211-2-21-211-2-200000000000000000000000000000000000
χ564444-4-4-4-444444-21-2-211-2-211-2-2-2-21111-21-2-211-4-4-4-4442-122-1-12-122-1-12-122-1-12-122-1-1-21-2-211-21-2-21100000000000000000000000000000000000
χ57444-2444444-2-2-21-2−1−3i32−1+3i321111-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211-2-2-2-2-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i321100000000000000000000000000000000000
χ58444-2444444-2-2-21-2−1+3i32−1−3i321111-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211-2-2-2-2-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i321100000000000000000000000000000000000
χ59444-2444444-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-2-2-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3200000000000000000000000000000000000
χ60444-2444444-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-2-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3200000000000000000000000000000000000
χ61444-244-4-4-4-4-2-2-21-2−1−3i32−1+3i321111-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211-2-222221-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-100000000000000000000000000000000000
χ62444-244-4-4-4-4-2-2-21-2−1+3i32−1−3i321111-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211-2-222221-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-100000000000000000000000000000000000
χ63444-244-4-4-4-4-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-2-22222-2111−1−3i32−1+3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i3200000000000000000000000000000000000
χ64444-244-4-4-4-4-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-22222-2111−1+3i32−1−3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i3200000000000000000000000000000000000
χ65444-2-4-444-4-4-2-2-21-2−1−3i32−1+3i321111-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i321122-2-222-121+3i321−3i32-1-1-121+3i321−3i32-1-11-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-121+3i321−3i32-1-100000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).