Finite Group Databasebeta

← Group #13049177

Character table — Group #13049177

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111999121212121212243636363636365454547272111999121212121212243636363636365454547272
order133266333333366666641212992662666666666666666412121818
χ1111111111111111111111111111111111111111111111111
χ2111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32
χ3111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32
χ4222-2-2-2-1-1-1-1-1-12111111000-1-1222-2-2-2-1-1-1-1-1-12111111000-1-1
χ5222-2-2-21−i321−i321−i321+i321+i321+i322−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320001−i321+i32222-2-2-21−i321−i321−i321+i321+i321+i322−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320001−i321+i32
χ6222-2-2-21+i321+i321+i321−i321−i321−i322−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320001+i321−i32222-2-2-21+i321+i321+i321−i321−i321−i322−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320001+i321−i32
χ73333330000003000000-1-1-1003333330000003000000-1-1-100
χ83−3+3i32−3−3i32-11−i321+i32i33−i32−3−i323+i32−3+i32−i30-11−i321+i32-11−i321+i321−1+i32−1−i32003−3+3i32−3−3i32-11−i321+i32i33−i32−3−i323+i32−3+i32−i30-11−i321+i32-11−i321+i321−1+i32−1−i3200
χ93−3+3i32−3−3i32-11−i321+i323−i32−3−i32i3−3+i32−i33+i3201+i32-11−i321−i321+i32-11−1+i32−1−i32003−3+3i32−3−3i32-11−i321+i323−i32−3−i32i3−3+i32−i33+i3201+i32-11−i321−i321+i32-11−1+i32−1−i3200
χ103−3+3i32−3−3i32-11−i321+i32−3−i32i33−i32−i33+i32−3+i3201−i321+i32-11+i32-11−i321−1+i32−1−i32003−3+3i32−3−3i32-11−i321+i32−3−i32i33−i32−i33+i32−3+i3201−i321+i32-11+i32-11−i321−1+i32−1−i3200
χ113−3−3i32−3+3i32-11+i321−i323+i32−3+i32−i3−3−i32i33−i3201−i32-11+i321+i321−i32-11−1−i32−1+i32003−3−3i32−3+3i32-11+i321−i323+i32−3+i32−i3−3−i32i33−i3201−i32-11+i321+i321−i32-11−1−i32−1+i3200
χ123−3−3i32−3+3i32-11+i321−i32−3+i32−i33+i32i33−i32−3−i3201+i321−i32-11−i32-11+i321−1−i32−1+i32003−3−3i32−3+3i32-11+i321−i32−3+i32−i33+i32i33−i32−3−i3201+i321−i32-11−i32-11+i321−1−i32−1+i3200
χ133−3−3i32−3+3i32-11+i321−i32−i33+i32−3+i323−i32−3−i32i30-11+i321−i32-11+i321−i321−1−i32−1+i32003−3−3i32−3+3i32-11+i321−i32−i33+i32−3+i323−i32−3−i32i30-11+i321−i32-11+i321−i321−1−i32−1+i3200
χ146−3+3i3−3−3i32−1+i3−1−i33+i32−i3−3+i32i3−3−i323−i3201−i321+i32-11+i32-11−i32000006−3+3i3−3−3i32−1+i3−1−i33+i32−i3−3+i32i3−3−i323−i3201−i321+i32-11+i32-11−i3200000
χ156−3+3i3−3−3i32−1+i3−1−i3−3+i323+i32−i33−i32i3−3−i3201+i32-11−i321−i321+i32-1000006−3+3i3−3−3i32−1+i3−1−i3−3+i323+i32−i33−i32i3−3−i3201+i32-11−i321−i321+i32-100000
χ166−3+3i3−3−3i32−1+i3−1−i3−i3−3+i323+i32−3−i323−i32i30-11−i321+i32-11−i321+i32000006−3+3i3−3−3i32−1+i3−1−i3−i3−3+i323+i32−3−i323−i32i30-11−i321+i32-11−i321+i3200000
χ176−3−3i3−3+3i32−1−i3−1+i3i3−3−i323−i32−3+i323+i32−i30-11+i321−i32-11+i321−i32000006−3−3i3−3+3i32−1−i3−1+i3i3−3−i323−i32−3+i323+i32−i30-11+i321−i32-11+i321−i3200000
χ186−3−3i3−3+3i32−1−i3−1+i33−i32i3−3−i32−i3−3+i323+i3201+i321−i32-11−i32-11+i32000006−3−3i3−3+3i32−1−i3−1+i33−i32i3−3−i32−i3−3+i323+i3201+i321−i32-11−i32-11+i3200000
χ196−3−3i3−3+3i32−1−i3−1+i3−3−i323−i32i33+i32−i3−3+i3201−i32-11+i321+i321−i32-1000006−3−3i3−3+3i32−1−i3−1+i3−3−i323−i32i33+i32−i3−3+i3201−i32-11+i321+i321−i32-100000
χ20888000222222-1000000000-1-1888000222222-1000000000-1-1
χ21888000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-10000000001−i321+i32888000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-10000000001−i321+i32
χ22888000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-10000000001+i321−i32888000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-10000000001+i321−i32
χ239−9+9i32−9−9i32-33−3i323+3i320000000000000-11−i321+i32009−9+9i32−9−9i32-33−3i323+3i320000000000000-11−i321+i3200
χ249−9−9i32−9+9i32-33+3i323−3i320000000000000-11+i321−i32009−9−9i32−9+9i32-33+3i323−3i320000000000000-11+i321−i3200
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32-11−i321−i321−i321+i321+i321+i32-1-1-11−i321+i32
χ27111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-11+i321+i321+i321−i321−i321−i32-1-1-11+i321−i32
χ28222-2-2-2-1-1-1-1-1-12111111000-1-1-2-2-2222111111-2-1-1-1-1-1-100011
χ29222-2-2-21−i321−i321−i321+i321+i321+i322−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320001−i321+i32-2-2-2222−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-21−i321−i321−i321+i321+i321+i32000−1+i32−1−i32
χ30222-2-2-21+i321+i321+i321−i321−i321−i322−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320001+i321−i32-2-2-2222−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-21+i321+i321+i321−i321−i321−i32000−1−i32−1+i32
χ313333330000003000000-1-1-100-3-3-3-3-3-3000000-300000011100
χ323−3+3i32−3−3i32-11−i321+i32i33−i32−3−i323+i32−3+i32−i30-11−i321+i32-11−i321+i321−1+i32−1−i3200-33−3i323+3i321−1+i32−1−i32−i3−3+i323+i32−3−i323−i32i301−1+i32−1−i321−1+i32−1−i32-11−i321+i3200
χ333−3+3i32−3−3i32-11−i321+i323−i32−3−i32i3−3+i32−i33+i3201+i32-11−i321−i321+i32-11−1+i32−1−i3200-33−3i323+3i321−1+i32−1−i32−3+i323+i32−i33−i32i3−3−i320−1−i321−1+i32−1+i32−1−i321-11−i321+i3200
χ343−3+3i32−3−3i32-11−i321+i32−3−i32i33−i32−i33+i32−3+i3201−i321+i32-11+i32-11−i321−1+i32−1−i3200-33−3i323+3i321−1+i32−1−i323+i32−i3−3+i32i3−3−i323−i320−1+i32−1−i321−1−i321−1+i32-11−i321+i3200
χ353−3−3i32−3+3i32-11+i321−i323+i32−3+i32−i3−3−i32i33−i3201−i32-11+i321+i321−i32-11−1−i32−1+i3200-33+3i323−3i321−1−i32−1+i32−3−i323−i32i33+i32−i3−3+i320−1+i321−1−i32−1−i32−1+i321-11+i321−i3200
χ363−3−3i32−3+3i32-11+i321−i32−3+i32−i33+i32i33−i32−3−i3201+i321−i32-11−i32-11+i321−1−i32−1+i3200-33+3i323−3i321−1−i32−1+i323−i32i3−3−i32−i3−3+i323+i320−1−i32−1+i321−1+i321−1−i32-11+i321−i3200
χ373−3−3i32−3+3i32-11+i321−i32−i33+i32−3+i323−i32−3−i32i30-11+i321−i32-11+i321−i321−1−i32−1+i3200-33+3i323−3i321−1−i32−1+i32i3−3−i323−i32−3+i323+i32−i301−1−i32−1+i321−1−i32−1+i32-11+i321−i3200
χ386−3+3i3−3−3i32−1+i3−1−i33+i32−i3−3+i32i3−3−i323−i3201−i321+i32-11+i32-11−i3200000-63−3i33+3i3-21−i31+i3−3−i32i33−i32−i33+i32−3+i320−1+i32−1−i321−1−i321−1+i3200000
χ396−3+3i3−3−3i32−1+i3−1−i3−3+i323+i32−i33−i32i3−3−i3201+i32-11−i321−i321+i32-100000-63−3i33+3i3-21−i31+i33−i32−3−i32i3−3+i32−i33+i320−1−i321−1+i32−1+i32−1−i32100000
χ406−3+3i3−3−3i32−1+i3−1−i3−i3−3+i323+i32−3−i323−i32i30-11−i321+i32-11−i321+i3200000-63−3i33+3i3-21−i31+i3i33−i32−3−i323+i32−3+i32−i301−1+i32−1−i321−1+i32−1−i3200000
χ416−3−3i3−3+3i32−1−i3−1+i3i3−3−i323−i32−3+i323+i32−i30-11+i321−i32-11+i321−i3200000-63+3i33−3i3-21+i31−i3−i33+i32−3+i323−i32−3−i32i301−1−i32−1+i321−1−i32−1+i3200000
χ426−3−3i3−3+3i32−1−i3−1+i33−i32i3−3−i32−i3−3+i323+i3201+i321−i32-11−i32-11+i3200000-63+3i33−3i3-21+i31−i3−3+i32−i33+i32i33−i32−3−i320−1−i32−1+i321−1+i321−1−i3200000
χ436−3−3i3−3+3i32−1−i3−1+i3−3−i323−i32i33+i32−i3−3+i3201−i32-11+i321+i321−i32-100000-63+3i33−3i3-21+i31−i33+i32−3+i32−i3−3−i32i33−i320−1+i321−1−i32−1−i32−1+i32100000
χ44888000222222-1000000000-1-1-8-8-8000-2-2-2-2-2-2100000000011
χ45888000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-10000000001−i321+i32-8-8-80001−i31−i31−i31+i31+i31+i31000000000−1+i32−1−i32
χ46888000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-10000000001+i321−i32-8-8-80001+i31+i31+i31−i31−i31−i31000000000−1−i32−1+i32
χ479−9+9i32−9−9i32-33−3i323+3i320000000000000-11−i321+i3200-99−9i329+9i323−3+3i32−3−3i3200000000000001−1+i32−1−i3200
χ489−9−9i32−9+9i32-33+3i323−3i320000000000000-11+i321−i3200-99+9i329−9i323−3−3i32−3+3i3200000000000001−1−i32−1+i3200

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