Finite Group Databasebeta

← Group #13091154

Character table — Group #13091154

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11133666999999999991818181818181818181818272727272727272727272727545454545454818181818181
order1333333323333333366333333333336666666699999999996618181818
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ3111111111111111−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ4111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111−1+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−i3211−1+i32−1−i32−1+i32−1−i32
χ5111111111−1+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−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32
χ6111111111−1+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+i32−1+i32−1+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1−i32−1+i321−1+i32−1−i321
χ7111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111−1−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+i3211−1−i32−1+i32−1−i32−1+i32
χ8111111111−1−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−i32−1−i32−1−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1+i32−1−i321−1−i32−1+i321
χ9111111111−1−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+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32
χ1011111111-111111111-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ1111111111-1111111−1+i32−1−i32-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32
χ1211111111-1111111−1−i32−1+i32-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32
χ1311111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-111111111111-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ1411111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i321−i321+i321+i32-1-11−i32
χ1511111111-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211+i321−i32-11−i321+i32-1
χ1611111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-111111111111-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ1711111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−i321+i32-11+i321−i32-1
χ1811111111-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i321+i321−i321−i32-1-11+i32
χ192222222202222222200-1-1-12-1-1-12-1-1-1000000002222-1-1-1-1-1-1000000
χ20222222220222222−1+i3−1−i300-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32000000
χ21222222220222222−1−i3−1+i300-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32000000
χ22222222220−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32200-1-1-12-1-1-12-1-1-100000000−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i321−i321+i32000000
χ23222222220−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i300-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000−1−i322−1+i31−i321+i321+i32-1-11−i32000000
χ24222222220−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i300-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32000000002−1+i3−1−i321−i321+i32-11−i321+i32-1000000
χ25222222220−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32200-1-1-12-1-1-12-1-1-100000000−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i321+i321−i32000000
χ26222222220−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i300-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32000000002−1−i3−1+i321+i321−i32-11+i321−i32-1000000
χ27222222220−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i300-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000−1+i322−1−i31+i321−i321−i32-1-11+i32000000
χ28333−3+3i32−3−3i323−3+3i32−3−3i32300000000333−3+3i32−3−3i3200000000−3+3i32−3−3i320000000000000000000000
χ29333−3+3i32−3−3i323−3+3i32−3−3i32-300000000-3-33−3+3i32−3−3i32000000003−3i323+3i320000000000000000000000
χ30333−3−3i32−3+3i323−3−3i32−3+3i32300000000333−3−3i32−3+3i3200000000−3−3i32−3+3i320000000000000000000000
χ31333−3−3i32−3+3i323−3−3i32−3+3i32-300000000-3-33−3−3i32−3+3i32000000003+3i323−3i320000000000000000000000
χ3266666-3-3-300000006600000-3000-3000000000000000000000000000
χ3366666-3-3-30000000−3+3i3−3−3i3000003−3i320003+3i32000000000000000000000000000
χ3466666-3-3-30000000−3−3i3−3+3i3000003+3i320003−3i32000000000000000000000000000
χ35666−3+3i3−3−3i36−3+3i3−3−3i300000000000-33−3i323+3i3200000000000000000000000000000000
χ36666−3+3i3−3−3i3-33−3i323+3i320000000000000003−3+3i32−3−3i3203−3+3i32−3−3i32000000000000000000000000
χ37666−3+3i3−3−3i3-33−3i323+3i32000000000000000−3+3i32−3−3i3230−3−3i323−3+3i32000000000000000000000000
χ38666−3+3i3−3−3i3-33−3i323+3i32000000000000000−3−3i323−3+3i320−3+3i32−3−3i323000000000000000000000000
χ39666−3−3i3−3+3i36−3−3i3−3+3i300000000000-33+3i323−3i3200000000000000000000000000000000
χ40666−3−3i3−3+3i3-33+3i323−3i320000000000000003−3−3i32−3+3i3203−3−3i32−3+3i32000000000000000000000000
χ41666−3−3i3−3+3i3-33+3i323−3i32000000000000000−3+3i323−3−3i320−3−3i32−3+3i323000000000000000000000000
χ42666−3−3i3−3+3i3-33+3i323−3i32000000000000000−3−3i32−3+3i3230−3+3i323−3−3i32000000000000000000000000
χ439−9+9i32−9−9i32000003-33−3i323+3i32-33−3i323+3i3200−3+3i32−3−3i320000000000000i33−i32−3−i323+i32−3+i32−i30000000000000000
χ449−9+9i32−9−9i320000033−3i323+3i32-33+3i32-33−3i3200−3+3i32−3−3i320000000000000−3−i32i33−i32−i33+i32−3+i320000000000000000
χ459−9+9i32−9−9i320000033+3i32-33−3i323−3i323+3i32-300−3+3i32−3−3i3200000000000003−i32−3−i32i3−3+i32−i33+i320000000000000000
χ469−9+9i32−9−9i3200000-3-33−3i323+3i32-33−3i323+3i32003−3i323+3i320000000000000−i3−3+i323+i32−3−i323−i32i30000000000000000
χ479−9+9i32−9−9i3200000-33−3i323+3i32-33+3i32-33−3i32003−3i323+3i3200000000000003+i32−i3−3+i32i3−3−i323−i320000000000000000
χ489−9+9i32−9−9i3200000-33+3i32-33−3i323−3i323+3i32-3003−3i323+3i320000000000000−3+i323+i32−i33−i32i3−3−i320000000000000000
χ499−9−9i32−9+9i32000003-33+3i323−3i32-33+3i323−3i3200−3−3i32−3+3i320000000000000−i33+i32−3+i323−i32−3−i32i30000000000000000
χ509−9−9i32−9+9i320000033−3i32-33+3i323+3i323−3i32-300−3−3i32−3+3i3200000000000003+i32−3+i32−i3−3−i32i33−i320000000000000000
χ519−9−9i32−9+9i320000033+3i323−3i32-33−3i32-33+3i3200−3−3i32−3+3i320000000000000−3+i32−i33+i32i33−i32−3−i320000000000000000
χ529−9−9i32−9+9i3200000-3-33+3i323−3i32-33+3i323−3i32003+3i323−3i320000000000000i3−3−i323−i32−3+i323+i32−i30000000000000000
χ539−9−9i32−9+9i3200000-33−3i32-33+3i323+3i323−3i32-3003+3i323−3i320000000000000−3−i323−i32i33+i32−i3−3+i320000000000000000
χ549−9−9i32−9+9i3200000-33+3i323−3i32-33−3i32-33+3i32003+3i323−3i3200000000000003−i32i3−3−i32−i3−3+i323+i320000000000000000

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