Finite Group Databasebeta

← Group #4435

Character table — Group #4435

Order 189.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size133771337713377133771337713377133771337713377
order1773332121333212133321213332121333212133321213332121333212133
χ1111111111111111111111111111111111111111111111
χ2111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32
χ3111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32
χ43−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200
χ53−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i7200
χ611111−1+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−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ7111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32
χ8111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321
χ93−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ20003−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ20003−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000
χ103−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ11003−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ11003−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100
χ1111111−1−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+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ12111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321
χ13111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32
χ143−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ19003−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ19003−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900
χ153−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ16003−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ16003−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600
χ16111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ17111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32
χ18111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321
χ193−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000
χ203−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100
χ2111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32
χ22111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321
χ23111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32
χ243−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ20003−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ20003−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900
χ253−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ11003−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ11003−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600
χ2611111−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111
χ27111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321111−1+i32−1−i32
χ28111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32111−1−i32−1+i32
χ293−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ19003−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ19003−1−i72−1+i7200
χ303−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ16003−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ16003−1+i72−1−i7200
χ31111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321
χ33111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32
χ343−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900
χ353−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600
χ3611111−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111
χ37111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32111−1+i32−1−i32
χ38111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321111−1−i32−1+i32
χ393−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ20003−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ20003−1−i72−1+i7200
χ403−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ11003−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ11003−1+i72−1−i7200
χ4111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32
χ42111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32
χ43111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32111−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321
χ443−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ1900−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ19003−1−i72−1+i7200−3+3i32ζ+ζ4+ζ16ζ10+ζ13+ζ19003−1−i72−1+i7200−3−3i32ζ2+ζ8+ζ11ζ5+ζ17+ζ2000
χ453−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ1600−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ16003−1+i72−1−i7200−3+3i32ζ10+ζ13+ζ19ζ+ζ4+ζ16003−1+i72−1−i7200−3−3i32ζ5+ζ17+ζ20ζ2+ζ8+ζ1100

Here ζ is a primitive root of unity of order 21 (ζ21 = 1); i = ζ5.