Finite Group Databasebeta

← Group #14513313

Character table — Group #14513313

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222222244446666888812121212121212121616161616161616161616161616161616162020242424242424242424242424242424242424242460606060606080808080120120
order12222255101010101010101010104444366620202020202020206615153030303030303030303030303030442488101010102020202040404040404040404488881212121222
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ31111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111-1-111111111-1-1-1-11-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ61111-1-111111111-1-1-1-11-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-11-11-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-11
χ71111-1-111111111-1-1-1-11-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-11-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-11
χ81111-1-111111111-1-1-1-11-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-11111-1111-1-1-1-1111-1
χ92222222222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000000000000000220000-1-1-1-100
χ102222222222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000000000000000-2-20000111100
χ11222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ12222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ13222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ14222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ152222-2-222222222-2-2-2-22-2-22-1-1-1-122-2-2-2-22211-1-1-1-1-1-1-1-1111111112-2000000000000000000002-20000-1-11100
χ162222-2-222222222-2-2-2-22-2-22-1-1-1-122-2-2-2-22211-1-1-1-1-1-1-1-111111111-2200000000000000000000-22000011-1-100
χ172222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-2-222222−1−52−1+521+521+521−521−52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ182222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-2-222222−1−52−1+521+521+521−521−52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ192222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+522-2-222222−1+52−1−521−521−521+521+52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ202222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+522-2-222222−1+52−1−521−521−521+521+52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ2122-2-22-222-2-2-2-2222-22-2-22-2222-2-2-2-22-22-2222-2222-2-22-2-222-2-222-2-20000000000000000000000000000000000
χ2222-2-22-222-2-2-2-2222-22-2-22-22-1-111-2-22-22-222-11-1-1-111-111-1-111-1-11100000000000000000000000000003−33−300
χ2322-2-22-222-2-2-2-2222-22-2-22-22-1-111-2-22-22-222-11-1-1-111-111-1-111-1-1110000000000000000000000000000−33−3300
χ2422-2-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1+521−52-22-2222-2-21+521−52−1−521+52−1+521−52−1−52−1+522-2−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000000000
χ2522-2-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1+521−52-22-2222-2-21+521−52−1−521+52−1+521−52−1−52−1+522-2−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000000000
χ2622-2-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1−521+52-22-2222-2-21−521+52−1+521−52−1−521+52−1+52−1−522-2−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000000000
χ2722-2-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1−521+52-22-2222-2-21−521+52−1+521−52−1−521+52−1+52−1−522-2−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000000000
χ2822-2-2-2222-2-2-2-222-22-22-2-22222-2-2-2-2-22-2222-22222-2-22-2-2-2-222-2-2220000000000000000000000000000000000
χ2922-2-2-2222-2-2-2-222-22-22-2-222-1-111-2-2-22-22221-1-1-1-111-11111-1-111-1-100000000000000000000000000003−3−3300
χ3022-2-2-2222-2-2-2-222-22-22-2-222-1-111-2-2-22-22221-1-1-1-111-11111-1-111-1-10000000000000000000000000000−333−300
χ3122-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521−52−1+52-2-22222-2-21+521−521+52−1−521−52−1+52−1−52−1+52-22−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000000000
χ3222-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521−52−1+52-2-22222-2-21+521−521+52−1−521−52−1+52−1−52−1+52-22−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000000000
χ3322-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−52−1+521+52−1−52-2-22222-2-21−521+521−52−1+521+52−1−52−1+52−1−52-22−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000000000
χ3422-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−52−1+521+52−1−52-2-22222-2-21−521+521−52−1+521+52−1−52−1+52−1−52-22−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000000000
χ35333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000003311-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011
χ36333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000033-1-111-1-1-1-1-1-1-1-111111111-1-111110000-1-1
χ37333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000-3-311-1-111111111-1-1-1-1-1-1-1-11111110000-1-1
χ38333333333333333333-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000-3-3-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1000011
χ393333-3-333333333-3-3-3-3-111-10000-1-11111-1-10000000000000000003-31-1-111111-1-1-1-1-1-1-1-11111-11-1-11100001-1
χ403333-3-333333333-3-3-3-3-111-10000-1-11111-1-10000000000000000003-3-111-1-1-1-1-111111111-1-1-1-1-1111-1-10000-11
χ413333-3-333333333-3-3-3-3-111-10000-1-11111-1-1000000000000000000-331-1-111111-1-1-1-1-1-1-1-111111-111-1-10000-11
χ423333-3-333333333-3-3-3-3-111-10000-1-11111-1-1000000000000000000-33-111-1-1-1-1-111111111-1-1-1-11-1-1-11100001-1
χ43444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5−1+54444-2-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−521+521+521+521−521−521−521+521+521+521+521−521−521−521−520000000000000000000000000000000000
χ44444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5−1−54444-2-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-2-21−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+520000000000000000000000000000000000
χ454444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−54-4-44-2-2-2-2−1−5−1+51+51+51−51−5−1−5−1+5221+521−521+521+521+521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000000000000
χ464444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+54-4-44-2-2-2-2−1+5−1−51−51−51+51+5−1+5−1−5221−521+521−521−521−521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000000000000
χ4744-4-44-4−1−5−1+51+51+51−51−5−1−5−1+5−1−51+5−1+51−5-44-44-2-2221+51−5−1−51+5−1+51−5−1−5−1+5-221+521−521+52−1−52−1−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000000000000000000000000000000000
χ4844-4-44-4−1+5−1−51−51−51+51+5−1+5−1−5−1+51−5−1−51+5-44-44-2-2221−51+5−1+51−5−1−51+5−1+5−1−5-221−521+521−52−1+52−1+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000000000000000000000000000000000
χ4944-4-4-44−1−5−1+51+51+51−51−5−1−5−1+51+5−1−51−5−1+5-4-444-2-2221+51−51+5−1−51−5−1+5−1−5−1+52-21+521−521+52−1−52−1−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000000000000000000000
χ5044-4-4-44−1+5−1−51−51−51+51+5−1+5−1−51−5−1+51+5−1−5-4-444-2-2221−51+51−5−1+51+5−1−5−1+5−1−52-21−521+521−52−1+52−1+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+520000000000000000000000000000000000
χ514-44-400444-44-4-4-400000000-222-20000000000-2-222-222-200000000000000000000000000000000−2i22i200000000
χ524-44-400444-44-4-4-400000000-222-20000000000-2-222-222-2000000000000000000000000000000002i2−2i200000000
χ534-4-440044-44-44-4-400000000-22-220000000000-2-22-222-220000000000000000000000000000000000−2i22i2000000
χ544-4-440044-44-44-4-400000000-22-220000000000-2-22-222-2200000000000000000000000000000000002i2−2i2000000
χ55666666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2-2-200001+521−521+521+521−521−521+521−520000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ56666666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-2-2-200001+521−521+521+521−521−521+521−5200000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ57666666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-2-2-200001−521+521−521−521+521+521−521+520000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
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χ868-8-8800−2+25−2−252−25−2+252+25−2−252−252+2500000000-44-4400000000001−51+5−1+51−5−1+5−1−51+5−1−5000000000000000000000000000000000000000000

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