Finite Group Databasebeta

← Group #14547721

Character table — Group #14547721

Order 2187.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111111119999999999999927272727272727272727272727272727272727272727272727272727272727272727272727272727818181818181818181818181
order133333333333333333333333333999999999999999999999999999999999999999999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111−1+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+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−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ3111111111111111111111111111111111−1−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−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+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ4111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i321−1−i32
χ5111111111111111111111111111−1+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+i32111111111111111111−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32
χ6111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1+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+i32−1−i3211−1+i32−1−i32−1−i32−1+i32−1−i321−1+i321
χ7111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i321−1+i32
χ8111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−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−i32−1+i3211−1−i32−1+i32−1+i32−1−i32−1+i321−1−i321
χ9111111111111111111111111111−1−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−i32111111111111111111−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32
χ1011111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+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+i32−1−i3211−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32
χ1111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+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−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321111
χ1211111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1−i32−1+i32−1−i32−1+i3211−1+i32−1+i32−1−i32−1−i32
χ1311111111111111111−1+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−i32111111−1−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−i32−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i321
χ1411111111111111111−1+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+i32−1−i32−1−i32−1−i32111111111−1+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−i32−1+i3211−1−i32−1+i321−1+i321−1−i32
χ1511111111111111111−1+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−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−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1+i32111111−1+i32−1−i32−1−i32−1+i32
χ1611111111111111111−1+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+i32111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+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
χ1711111111111111111−1+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+i32−1−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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111−1+i32−1−i32−1−i32−1+i321−1−i321−1+i32
χ1811111111111111111−1+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−i32−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i321−1−i321
χ1911111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−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−i32−1+i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32
χ2011111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1+i32−1−i32−1+i32−1−i3211−1−i32−1−i32−1+i32−1+i32
χ2111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321111
χ2211111111111111111−1−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−i32111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−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
χ2311111111111111111−1−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+i32−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i321−1+i321
χ2411111111111111111−1−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−i32−1+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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111−1−i32−1+i32−1+i32−1−i321−1+i321−1−i32
χ2511111111111111111−1−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+i32111111−1+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+i32−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i321
χ2611111111111111111−1−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+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+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1−i32111111−1−i32−1+i32−1+i32−1−i32
χ2711111111111111111−1−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−i32−1+i32−1+i32−1+i32111111111−1−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+i32−1−i3211−1+i32−1−i321−1−i321−1+i32
χ2833333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200000000000000000000000000000000003−3+3i32−3−3i320003−3+3i32−3−3i32000000000000000
χ2933333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000000000000000000000−3+3i32−3−3i323000−3−3i323−3+3i32000000000000000
χ3033333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000000000000000000000−3−3i323−3+3i32000−3+3i32−3−3i323000000000000000
χ3133333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200000000000000000000000000000000003−3−3i32−3+3i320003−3−3i32−3+3i32000000000000000
χ3233333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000000000000000000000−3+3i323−3−3i32000−3−3i32−3+3i323000000000000000
χ3333333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000000000000000000000−3−3i32−3+3i323000−3+3i323−3−3i32000000000000000
χ34333333333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000000000000003−3+3i32−3−3i320000000003−3+3i32−3−3i32000000000000
χ35333333333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000000000000−3+3i32−3−3i323000000000−3−3i323−3+3i32000000000000
χ36333333333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000000000000−3−3i323−3+3i32000000000−3+3i32−3−3i323000000000000
χ37333333333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i3200000000000000000000000000003−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000000000
χ38333333333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000000000000000−3+3i32−3−3i323000000−3−3i323−3+3i32000000000000000000
χ39333333333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000000000000000−3−3i323−3+3i32000000−3+3i32−3−3i323000000000000000000
χ40333333333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323333333−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000
χ41333333333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i3233−3+3i32000000000000000000000000000000000000000000000000
χ42333333333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3+3i32−3−3i323000000000000000000000000000000000000000000000000
χ43333333333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000000000000003−3−3i32−3+3i320000000003−3−3i32−3+3i32000000000000
χ44333333333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000000000000−3+3i323−3−3i32000000000−3−3i32−3+3i323000000000000
χ45333333333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000000000000−3−3i32−3+3i323000000000−3+3i323−3−3i32000000000000
χ46333333333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323333333−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000000000
χ47333333333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3−3i32−3+3i323000000000000000000000000000000000000000000000000
χ48333333333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i3233−3−3i32000000000000000000000000000000000000000000000000
χ49333333333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i3200000000000000000000000000003−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000000000
χ50333333333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000000000000000−3+3i323−3−3i32000000−3−3i32−3+3i323000000000000000000
χ51333333333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000000000000000−3−3i32−3+3i323000000−3+3i323−3−3i32000000000000000000
χ52999−9+9i32−9−9i32−9+9i32−9−9i32−9+9i32−9−9i320000000000000000000000000000003ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000000000
χ53999−9+9i32−9−9i32−9+9i32−9−9i32−9+9i32−9−9i320000000000000000000000000000003ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000000000
χ54999−9+9i32−9−9i32−9+9i32−9−9i32−9+9i32−9−9i320000000000000000000000000000003ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000000000
χ55999−9−9i32−9+9i32−9−9i32−9+9i32−9−9i32−9+9i320000000000000000000000000000003ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000000000
χ56999−9−9i32−9+9i32−9−9i32−9+9i32−9−9i32−9+9i320000000000000000000000000000003ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000000000
χ57999−9−9i32−9+9i32−9−9i32−9+9i32−9−9i32−9+9i320000000000000000000000000000003ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000000000
χ589−9+9i32−9−9i3299−9+9i32−9−9i32−9−9i32−9+9i320000000000000000000000003ζ23ζ53ζ83ζ3ζ43ζ7000000000000000000000000000000000000
χ599−9+9i32−9−9i3299−9+9i32−9−9i32−9−9i32−9+9i320000000000000000000000003ζ53ζ83ζ23ζ73ζ3ζ4000000000000000000000000000000000000
χ609−9+9i32−9−9i3299−9+9i32−9−9i32−9−9i32−9+9i320000000000000000000000003ζ83ζ23ζ53ζ43ζ73ζ000000000000000000000000000000000000
χ619−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i32990000000000000000003ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000000000000000000000
χ629−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i32990000000000000000003ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000000000000000000000
χ639−9+9i32−9−9i32−9+9i32−9−9i32−9−9i32−9+9i32990000000000000000003ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000000000000000000000
χ649−9+9i32−9−9i32−9−9i32−9+9i3299−9+9i32−9−9i32000000009+3i32−9+3i32−3i33i39−3i32−9−3i320000000000000000000000000000000000000000000000000000
χ659−9+9i32−9−9i32−9−9i32−9+9i3299−9+9i32−9−9i3200000000−9+3i32−3i39+3i329−3i32−9−3i323i30000000000000000000000000000000000000000000000000000
χ669−9+9i32−9−9i32−9−9i32−9+9i3299−9+9i32−9−9i3200000000−3i39+3i32−9+3i32−9−3i323i39−3i320000000000000000000000000000000000000000000000000000
χ679−9−9i32−9+9i3299−9−9i32−9+9i32−9+9i32−9−9i320000000000000000000000003ζ3ζ73ζ43ζ53ζ23ζ8000000000000000000000000000000000000
χ689−9−9i32−9+9i3299−9−9i32−9+9i32−9+9i32−9−9i320000000000000000000000003ζ43ζ3ζ73ζ23ζ83ζ5000000000000000000000000000000000000
χ699−9−9i32−9+9i3299−9−9i32−9+9i32−9+9i32−9−9i320000000000000000000000003ζ73ζ43ζ3ζ83ζ53ζ2000000000000000000000000000000000000
χ709−9−9i32−9+9i32−9+9i32−9−9i3299−9−9i32−9+9i32000000003i39−3i32−9−3i32−9+3i32−3i39+3i320000000000000000000000000000000000000000000000000000
χ719−9−9i32−9+9i32−9+9i32−9−9i3299−9−9i32−9+9i32000000009−3i32−9−3i323i3−3i39+3i32−9+3i320000000000000000000000000000000000000000000000000000
χ729−9−9i32−9+9i32−9+9i32−9−9i3299−9−9i32−9+9i3200000000−9−3i323i39−3i329+3i32−9+3i32−3i30000000000000000000000000000000000000000000000000000
χ739−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i32990000000000000000003ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000000000000000000000
χ749−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i32990000000000000000003ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000000000000000000000
χ759−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i32990000000000000000003ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.