Finite Group Databasebeta

← Group #13181517

Character table — Group #13181517

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112222222222244444444444444444444444444444488888888888888888888888888888888888899181818181818181818181836363636363654545454545454545454545454545454
order1222222344666333333666666666666666666666612126666666666666666666666661212121212121212121212122222222446666666612124444444444444444
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
χ511111-1-11-1-111111111111-1-1111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111-1-11-1-111111111111-1-1111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111-1-11-1-111111111111-1-1111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111-1-11-1-111111111111-1-1111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111-1-1111-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111-1-1111-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ11111-1-1111-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111-1-1111-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-1111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111-1-1-1-1111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111-1-1-1-1111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-1111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-11-11-111-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-11-11-11-111-1-11-11-11-11-11-11-11-11-11-11-11-1
χ1811-11-11-111-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-11-11-11-111-1-11-11-11-1-11-11-11-11-11-11-11-11
χ1911-11-11-111-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11-11-1-111-11-11-11i−ii−ii−ii−i−ii−ii−ii−ii
χ2011-11-11-111-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11-11-1-111-11-11-11−ii−ii−ii−iii−ii−ii−ii−i
χ2111-11-1-111-11-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-11-1-11-1111-1-11-1-11-111-11-1-11-111-11-1-11-11
χ2211-11-1-111-11-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-11-1-11-1111-1-11-1-11-11-11-111-11-1-11-111-11-1
χ2311-11-1-111-11-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11-111-11-1-1-111-111-11-1i−ii−i−ii−ii−ii−iii−ii−i
χ2411-11-1-111-11-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11-111-11-1-1-111-111-11-1−ii−iii−ii−ii−ii−i−ii−ii
χ2511-1-111-11-11-1-11111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-111-1-111-1-111-1-111-1-111-1-11
χ2611-1-111-11-11-1-11111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-111-1-11-111-1-111-1-111-1-111-1
χ2711-1-111-11-11-1-11111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1111-1-111-1i−i−iii−i−ii−iii−i−iii−i
χ2811-1-111-11-11-1-11111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1111-1-111-1−iii−i−iii−ii−i−iii−i−ii
χ2911-1-11-1111-1-1-11111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11-111-111-1-1-11-111-11-1-11-111-11-1-11-111-1
χ3011-1-11-1111-1-1-11111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11-111-111-1-1-11-111-1-111-11-1-11-111-11-1-11
χ3111-1-11-1111-1-1-11111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-11-1-11-1-1111-11-1-11i−i−ii−iii−i−iii−ii−i−ii
χ3211-1-11-1111-1-1-11111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-11-1-11-1-1111-11-1-11−iii−ii−i−iii−i−ii−iii−i
χ332222222-122-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222-122-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-211111111110000000000000000
χ3522222-2-2-1-2-2-1-1-122-1-1-1-1-1-1112222-1-1-1-1-1-1-1-122-1-1-1-11122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-2111122222-2-2-2-2-1-1-1-1-1-111110000000000000000
χ3622222-2-2-1-2-2-1-1-122-1-1-1-1-1-1112222-1-1-1-1-1-1-1-122-1-1-1-11122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-21111-2-2-2-2-22222111111-1-1-1-10000000000000000
χ37222-2-222-1-2-2-1-1-122-1-1-1-111-1-12222-1-1-1-1-1-1-1-122-1-1-1-111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-21111222-2-222-2-2-1-1-1-111-1-1110000000000000000
χ38222-2-222-1-2-2-1-1-122-1-1-1-111-1-12222-1-1-1-1-1-1-1-122-1-1-1-111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2-222-2-2221111-1-111-1-10000000000000000
χ39222-2-2-2-2-122-1-1-122-1-1-1-111112222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-21111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-1222-2-2-2-222-1-1-1-11111-1-10000000000000000
χ40222-2-2-2-2-122-1-1-122-1-1-1-111112222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-21111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-2-22222-2-21111-1-1-1-1110000000000000000
χ4122-22-22-2-12-211-122-1-1-1-1-11-11-2-2-2-21111111122-1-1-1-1-1122-1-1-1-1-2-2111122-1-1-1-1-2-2111122-1-1-1-1-2-2111122-22-22-22-2-1-111-11-11-110000000000000000
χ4222-22-22-2-12-211-122-1-1-1-1-11-11-2-2-2-21111111122-1-1-1-1-1122-1-1-1-1-2-2111122-1-1-1-1-2-2111122-1-1-1-1-2-21111-2-22-22-22-2211-1-11-11-11-10000000000000000
χ4322-22-2-22-1-2211-122-1-1-1-1-111-1-2-2-2-21111111122-1-1-1-11-122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-2111122-1-1-1-122-22-2-22-22-1-111-111-11-10000000000000000
χ4422-22-2-22-1-2211-122-1-1-1-1-111-1-2-2-2-21111111122-1-1-1-11-122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-2111122-1-1-1-1-2-22-222-22-211-1-11-1-11-110000000000000000
χ4522-2-222-2-1-2211-122-1-1-1-11-1-11-2-2-2-21111111122-1-1-1-11-1-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-2111122-1-1-1-122-2-222-2-22-1-1111-1-111-10000000000000000
χ4622-2-222-2-1-2211-122-1-1-1-11-1-11-2-2-2-21111111122-1-1-1-11-1-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-222-2-222-211-1-1-111-1-110000000000000000
χ4722-2-22-22-12-211-122-1-1-1-11-11-1-2-2-2-21111111122-1-1-1-1-11-2-2111122-1-1-1-1-2-2111122-1-1-1-122-1-1-1-1-2-2111122-2-22-222-2-1-1111-11-1-110000000000000000
χ4822-2-22-22-12-211-122-1-1-1-11-11-1-2-2-2-21111111122-1-1-1-1-11-2-2111122-1-1-1-1-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-222-22-2-2211-1-1-11-111-10000000000000000
χ4944444444444441-211-2-2444411-2-21111-2-2-2-21-211-2-2441-211-2-21-211-2-21-211-2-21-211-2-21-211-2-21-211-2-200000000000000000000000000000000000
χ504444444444444-21-2-2114444-2-211-2-2-2-21111-21-2-21144-21-2-211-21-2-211-21-2-211-21-2-211-21-2-211-21-2-21100000000000000000000000000000000000
χ514444444-244-2-2-21-2−1−3i32−1+3i3211-2-2-2-211-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211-2-21-2−1−3i32−1+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
χ524444444-244-2-2-21-2−1+3i32−1−3i3211-2-2-2-211-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211-2-21-2−1+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
χ534444444-244-2-2-2-2111−1−3i32−1+3i32-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+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
χ544444444-244-2-2-2-2111−1+3i32−1−3i32-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-2-2111−1+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
χ5544444-4-44-4-44441-211-2-244-4-411-2-21111-2-2-2-21-211-2-2-4-41-211-2-21-211-2-2-12-1-122-12-1-122-12-1-122-12-1-12200000000000000000000000000000000000
χ5644444-4-44-4-4444-21-2-21144-4-4-2-211-2-2-2-21111-21-2-211-4-4-21-2-211-21-2-2112-122-1-12-122-1-12-122-1-12-122-1-100000000000000000000000000000000000
χ5744444-4-4-2-4-4-2-2-21-2−1−3i32−1+3i3211-2-22211-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211221-2−1−3i32−1+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
χ5844444-4-4-2-4-4-2-2-21-2−1+3i32−1−3i3211-2-22211-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211221-2−1+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
χ5944444-4-4-2-4-4-2-2-2-2111−1−3i32−1+3i32-2-222-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i3222-2111−1−3i32−1+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
χ6044444-4-4-2-4-4-2-2-2-2111−1+3i32−1−3i32-2-222-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i3222-2111−1+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
χ61444-4-4444-4-44441-211-2-2-4-44411-2-21111-2-2-2-21-211-2-2-4-4-12-1-122-12-1-1221-211-2-21-211-2-2-12-1-122-12-1-12200000000000000000000000000000000000
χ62444-4-4444-4-4444-21-2-211-4-444-2-211-2-2-2-21111-21-2-211-4-42-122-1-12-122-1-1-21-2-211-21-2-2112-122-1-12-122-1-100000000000000000000000000000000000
χ63444-4-444-2-4-4-2-2-21-2−1−3i32−1+3i321122-2-211-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i321122-121+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
χ64444-4-444-2-4-4-2-2-21-2−1+3i32−1−3i321122-2-211-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i321122-121−3i321+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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χ8944-4-444-4-2-4422-2-2111−1−3i32−1+3i322-2-2222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i322-22-1-1-11+3i321−3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i32-2111−1−3i32−1+3i3200000000000000000000000000000000000
χ9044-4-444-4-2-4422-2-2111−1+3i32−1−3i322-2-2222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2111−1+3i32−1−3i322-22-1-1-11−3i321+3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i32-2111−1+3i32−1−3i3200000000000000000000000000000000000
χ9144-4-44-4444-4-4-441-211-2-2-44-44-1-122-1-1-1-122221-211-2-24-4-12-1-1221-211-2-2-12-1-1221-211-2-21-211-2-2-12-1-12200000000000000000000000000000000000
χ9244-4-44-4444-4-4-44-21-2-211-44-4422-1-12222-1-1-1-1-21-2-2114-42-122-1-1-21-2-2112-122-1-1-21-2-211-21-2-2112-122-1-100000000000000000000000000000000000
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χ9544-4-44-44-24-422-2-2111−1−3i32−1+3i322-22-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i32-222-1-1-11+3i321−3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i3200000000000000000000000000000000000
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χ1098-800000-400−4i34i34-4222−1−3i3−1+3i30000006-62i3−2i32i3−2i3−3−i33+i33−i3−3+i34-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-800000-400−4i34i34-4222−1+3i3−1−3i3000000-662i3−2i32i3−2i33−i3−3+i3−3−i33+i34-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-800000-4004i3−4i342-4−1−3i3−1+3i3220000-66003+i3−3−i3−3+i33−i3−2i32i3−2i32i3-241+3i31−3i3-2-20000000000000000000000000000000000000000000000000000000000000000000000000
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χ1148-800000-4004i3−4i34-4222−1+3i3−1−3i30000006-6−2i32i3−2i32i3−3+i33−i33+i3−3−i34-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000

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