Finite Group Databasebeta

← Group #6745

Character table — Group #6745

Order 240.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22
size112222688888888881212303060
order1255101043615151515303030302020882
χ11111111111111111111111
χ21111111111111111111-1-1-1
χ32222222-1-1-1-1-1-1-1-1-1-122000
χ422−1−52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52000
χ522−1−52−1+52−1−52−1+522-1-1−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−1−52−1+52000
χ622−1−52−1+52−1−52−1+522-1-1−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−1−52−1+52000
χ722−1+52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52000
χ822−1+52−1−52−1+52−1−522-1-1−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ68−1+52−1−52000
χ922−1+52−1−52−1+52−1−522-1-1−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ92−1+52−1−52000
χ102-222-2-20-11-1-1-1-1111100−i2i20
χ112-222-2-20-11-1-1-1-1111100i2−i20
χ12333333-10000000000-1-111-1
χ13333333-10000000000-1-1-1-11
χ144-444-4-401-11111-1-1-1-100000
χ154-4−1−5−1+51+51−501-1ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ7600000
χ164-4−1−5−1+51+51−501-1ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ11600000
χ174-4−1−5−1+51+51−50-221+521+521−521−52−1−52−1−52−1+52−1+5200000
χ184-4−1+5−1−51−51+501-1ζ44+ζ76ζ4+ζ116ζ28+ζ92ζ52+ζ68−ζ44−ζ76−ζ4−ζ116−ζ28−ζ92−ζ52−ζ6800000
χ194-4−1+5−1−51−51+501-1ζ4+ζ116ζ44+ζ76ζ52+ζ68ζ28+ζ92−ζ4−ζ116−ζ44−ζ76−ζ52−ζ68−ζ28−ζ9200000
χ204-4−1+5−1−51−51+50-221−521−521+521+52−1+52−1+52−1−52−1−5200000
χ2166−3−352−3+352−3−352−3+352-200000000001+521−52000
χ2266−3+352−3−352−3+352−3−352-200000000001−521+52000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.