Finite Group Databasebeta

← Group #13090675

Character table — Group #13090675

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1112222222222229999999918181818181818181818181818181818181818181818181818181818181818181818182727278181818181818181
order133333333333333339999993399999999999999999999999999999999926666181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ511111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ611111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ7111111111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111111111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32
χ9111111111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ10111111111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32
χ11111111111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ12111111111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-11−i321+i321+i32-11−i321−i321+i32-1
χ13111111111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111111111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32
χ15111111111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ16111111111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-11+i321−i321−i32-11+i321+i321−i32-1
χ17111111111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ18111111111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ192222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ2022222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000
χ2122222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000
χ22222222222222222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i3200000000000
χ23222222222222222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i3200000000000
χ24222222222222222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-1-1-11−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-100000000000
χ25222222222222222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i3200000000000
χ26222222222222222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-1-1-11+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-100000000000
χ27222222222222222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i3200000000000
χ283−3+3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3+3i32−3−3i3200000000000000003−3+3i32−3−3i320000000000000000000000003−3+3i32−3−3i3200000000
χ293−3+3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3+3i32−3−3i3200000000000000003−3+3i32−3−3i32000000000000000000000000-33−3i323+3i3200000000
χ303−3−3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3−3i32−3+3i3200000000000000003−3−3i32−3+3i320000000000000000000000003−3−3i32−3+3i3200000000
χ313−3−3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3−3i32−3+3i3200000000000000003−3−3i32−3+3i32000000000000000000000000-33+3i323−3i3200000000
χ326666-3-36-3-36-3-3-3-3-3000060600000-30-3000000000000000000000000000000000000000
χ336666-3-36-3-36-3-3-3-3-30000−3+3i30−3−3i3000003−3i3203+3i32000000000000000000000000000000000000000
χ346666-3-36-3-36-3-3-3-3-30000−3−3i30−3+3i3000003+3i3203−3i32000000000000000000000000000000000000000
χ35666-36-3-36-3-36-3-3-3-300060006000-3000-300000000000000000000000000000000000000
χ36666-36-3-36-3-36-3-3-3-3000−3+3i3000−3−3i30003−3i320003+3i3200000000000000000000000000000000000000
χ37666-36-3-36-3-36-3-3-3-3000−3−3i3000−3+3i30003+3i320003−3i3200000000000000000000000000000000000000
χ38666-3-36-3-36-3-36-3-3-30060060000-300-30000000000000000000000000000000000000000
χ39666-3-36-3-36-3-36-3-3-300−3+3i300−3−3i300003−3i32003+3i320000000000000000000000000000000000000000
χ40666-3-36-3-36-3-36-3-3-300−3−3i300−3+3i300003+3i32003−3i320000000000000000000000000000000000000000
χ41666-3-3-3-3-3-3-3-3-366666000000-3-300000000000000000000000000000000000000000000
χ42666-3-3-3-3-3-3-3-3-3666−3+3i3−3−3i30000003−3i323+3i3200000000000000000000000000000000000000000000
χ43666-3-3-3-3-3-3-3-3-3666−3−3i3−3+3i30000003+3i323−3i3200000000000000000000000000000000000000000000
χ446−3+3i3−3−3i3666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i36−3+3i3−3−3i30000000000000000-33−3i323+3i3200000000000000000000000000000000000
χ456−3+3i3−3−3i36-3-3−3+3i33−3i323−3i32−3−3i33+3i323+3i32-33−3i323+3i3200000000000000000000000000000003−3+3i32−3−3i320003−3+3i32−3−3i3200000000000000
χ466−3+3i3−3−3i36-3-3−3+3i33−3i323−3i32−3−3i33+3i323+3i32-33−3i323+3i320000000000000000000000000000000−3+3i32−3−3i323000−3−3i323−3+3i3200000000000000
χ476−3+3i3−3−3i36-3-3−3+3i33−3i323−3i32−3−3i33+3i323+3i32-33−3i323+3i320000000000000000000000000000000−3−3i323−3+3i32000−3+3i32−3−3i32300000000000000
χ486−3+3i3−3−3i3-36-33−3i32−3+3i33−3i323+3i32−3−3i33+3i32-33−3i323+3i3200000000000000000000000000003−3+3i32−3−3i320000000003−3+3i32−3−3i3200000000000
χ496−3+3i3−3−3i3-36-33−3i32−3+3i33−3i323+3i32−3−3i33+3i32-33−3i323+3i320000000000000000000000000000−3+3i32−3−3i323000000000−3−3i323−3+3i3200000000000
χ506−3+3i3−3−3i3-36-33−3i32−3+3i33−3i323+3i32−3−3i33+3i32-33−3i323+3i320000000000000000000000000000−3−3i323−3+3i32000000000−3+3i32−3−3i32300000000000
χ516−3+3i3−3−3i3-3-363−3i323−3i32−3+3i33+3i323+3i32−3−3i3-33−3i323+3i3200000000000000000000000003−3+3i32−3−3i320000003−3+3i32−3−3i3200000000000000000
χ526−3+3i3−3−3i3-3-363−3i323−3i32−3+3i33+3i323+3i32−3−3i3-33−3i323+3i320000000000000000000000000−3+3i32−3−3i323000000−3−3i323−3+3i3200000000000000000
χ536−3+3i3−3−3i3-3-363−3i323−3i32−3+3i33+3i323+3i32−3−3i3-33−3i323+3i320000000000000000000000000−3−3i323−3+3i32000000−3+3i32−3−3i32300000000000000000
χ546−3+3i3−3−3i3-3-3-33−3i323−3i323−3i323+3i323+3i323+3i326−3+3i3−3−3i300000000000000000003−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000000000000
χ556−3+3i3−3−3i3-3-3-33−3i323−3i323−3i323+3i323+3i323+3i326−3+3i3−3−3i30000000000000000000−3+3i32−3−3i323−3−3i323−3+3i3200000000000000000000000000000
χ566−3+3i3−3−3i3-3-3-33−3i323−3i323−3i323+3i323+3i323+3i326−3+3i3−3−3i30000000000000000000−3−3i323−3+3i32−3+3i32−3−3i32300000000000000000000000000000
χ576−3−3i3−3+3i3666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i36−3−3i3−3+3i30000000000000000-33+3i323−3i3200000000000000000000000000000000000
χ586−3−3i3−3+3i36-3-3−3−3i33+3i323+3i32−3+3i33−3i323−3i32-33+3i323−3i3200000000000000000000000000000003−3−3i32−3+3i320003−3−3i32−3+3i3200000000000000
χ596−3−3i3−3+3i36-3-3−3−3i33+3i323+3i32−3+3i33−3i323−3i32-33+3i323−3i320000000000000000000000000000000−3+3i323−3−3i32000−3−3i32−3+3i32300000000000000
χ606−3−3i3−3+3i36-3-3−3−3i33+3i323+3i32−3+3i33−3i323−3i32-33+3i323−3i320000000000000000000000000000000−3−3i32−3+3i323000−3+3i323−3−3i3200000000000000
χ616−3−3i3−3+3i3-36-33+3i32−3−3i33+3i323−3i32−3+3i33−3i32-33+3i323−3i3200000000000000000000000000003−3−3i32−3+3i320000000003−3−3i32−3+3i3200000000000
χ626−3−3i3−3+3i3-36-33+3i32−3−3i33+3i323−3i32−3+3i33−3i32-33+3i323−3i320000000000000000000000000000−3+3i323−3−3i32000000000−3−3i32−3+3i32300000000000
χ636−3−3i3−3+3i3-36-33+3i32−3−3i33+3i323−3i32−3+3i33−3i32-33+3i323−3i320000000000000000000000000000−3−3i32−3+3i323000000000−3+3i323−3−3i3200000000000
χ646−3−3i3−3+3i3-3-363+3i323+3i32−3−3i33−3i323−3i32−3+3i3-33+3i323−3i3200000000000000000000000003−3−3i32−3+3i320000003−3−3i32−3+3i3200000000000000000
χ656−3−3i3−3+3i3-3-363+3i323+3i32−3−3i33−3i323−3i32−3+3i3-33+3i323−3i320000000000000000000000000−3+3i323−3−3i32000000−3−3i32−3+3i32300000000000000000
χ666−3−3i3−3+3i3-3-363+3i323+3i32−3−3i33−3i323−3i32−3+3i3-33+3i323−3i320000000000000000000000000−3−3i32−3+3i323000000−3+3i323−3−3i3200000000000000000
χ676−3−3i3−3+3i3-3-3-33+3i323+3i323+3i323−3i323−3i323−3i326−3−3i3−3+3i300000000000000000003−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000000000000
χ686−3−3i3−3+3i3-3-3-33+3i323+3i323+3i323−3i323−3i323−3i326−3−3i3−3+3i30000000000000000000−3+3i323−3−3i32−3−3i32−3+3i32300000000000000000000000000000
χ696−3−3i3−3+3i3-3-3-33+3i323+3i323+3i323−3i323−3i323−3i326−3−3i3−3+3i30000000000000000000−3−3i32−3+3i323−3+3i323−3−3i3200000000000000000000000000000

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