Finite Group Databasebeta

← Group #14513389

Character table — Group #14513389

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222444466668888888810101010121212121212121216161616161616161616161616161616242424242424242424242424242424242424242440404040404040406060120120120120
order1244245510102020202010102020224436661212121288881010101020202020151530303030303060606060606060602488101010102020202040404040404040402424242424242424882488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111111-1-1-1-1-1-1111-1-111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1
χ611-1-1-111111-1-1-1-1-1-1111-1-111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-11
χ711-1-1-111111-1-1-1-1-1-1111-1-111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11
χ811-1-1-111111-1-1-1-1-1-1111-1-111-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-11-1
χ92222222222222222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-1-1-1220000
χ102222222222222222222222-1-1-1-1-1-1-1-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000011111111-2-20000
χ11222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222222222220000−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+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+5200000000000000
χ12222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222222222220000−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ13222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222222222220000−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−5200000000000000
χ14222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222222222220000−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ152222-2-222222222-2-2-2-2-22-222-2-2222-2-20000-2-222-2-22222-2-2-2-222-2-2-2-222220000000000000000000000000000000000
χ162222-2-222222222-2-2-2-2-22-22-111-1-1-1110000-2-222-2-222-1-11111-1-11111-1-1-1-10000000000000000000033−3−333−3−3000000
χ172222-2-222222222-2-2-2-2-22-22-111-1-1-1110000-2-222-2-222-1-11111-1-11111-1-1-1-100000000000000000000−3−333−3−333000000
χ182222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52-22-222-2-2222-2-200001+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−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+ζ11600000000000000
χ192222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52-22-222-2-2222-2-200001+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000ζ28−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−ζ11600000000000000
χ202222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52-22-222-2-2222-2-200001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ4+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+ζ9200000000000000
χ212222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52-22-222-2-2222-2-200001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−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−ζ9200000000000000
χ2222-2-22-22222-2-2-2-222-2-2-2-2222222-2-2-2-20000-2-2-2-2222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ2322-2-22-22222-2-2-2-222-2-2-2-222-1-1-1-111110000-2-2-2-22222-1-1-1-1-1-1-1-1111111110000000000000000000033−3−3−3−333000000
χ2422-2-22-22222-2-2-2-222-2-2-2-222-1-1-1-111110000-2-2-2-22222-1-1-1-1-1-1-1-11111111100000000000000000000−3−33333−3−3000000
χ2522-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−52-2-2222222-2-2-2-200001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000−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−ζ11600000000000000
χ2622-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−52-2-2222222-2-2-2-200001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000ζ28−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+ζ11600000000000000
χ2722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+52-2-2222222-2-2-2-200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000ζ4+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−ζ9200000000000000
χ2822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+52-2-2222222-2-2-2-200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000−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+ζ9200000000000000
χ2922-2-2-222222-2-2-2-2-2-2222-2-22-111-111-1-122-2-222-2-2-2-222-1-11111-1-1-1-1-1-1111100000000000000000000-1-1-1-111112-20000
χ3022-2-2-222222-2-2-2-2-2-2222-2-22-111-111-1-1-2-22222-2-2-2-222-1-11111-1-1-1-1-1-11111000000000000000000001111-1-1-1-1-220000
χ3122-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+522-2-222-2-22-2-2220000−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3222-2-2-22−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+522-2-222-2-22-2-2220000−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ3322-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−522-2-222-2-22-2-2220000−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ3422-2-2-22−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−522-2-222-2-22-2-2220000−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ35333333333333333333-1-1-1-1000000003333-1-1-1-1-1-1-1-1000000000000000011-1-111111111-1-1-1-1-1-1-1-100000000-1-111-1-1
χ36333333333333333333-1-1-1-1000000003333-1-1-1-1-1-1-1-10000000000000000-1-111-1-1-1-1-1-1-1-11111111100000000-1-1-1-111
χ37333333333333333333-1-1-1-100000000-3-3-3-3-1-1-1-1-1-1-1-1000000000000000011-1-111111111-1-1-1-1-1-1-1-10000000011-1-111
χ38333333333333333333-1-1-1-100000000-3-3-3-3-1-1-1-1-1-1-1-10000000000000000-1-111-1-1-1-1-1-1-1-111111111000000001111-1-1
χ3933-3-3-333333-3-3-3-3-3-333-111-10000000033-3-3-1-11111-1-100000000000000001-1-111111-1-1-1-1-1-1-1-1111100000000-111-1-11
χ4033-3-3-333333-3-3-3-3-3-333-111-10000000033-3-3-1-11111-1-10000000000000000-111-1-1-1-1-111111111-1-1-1-100000000-11-111-1
χ4133-3-3-333333-3-3-3-3-3-333-111-100000000-3-333-1-11111-1-100000000000000001-1-111111-1-1-1-1-1-1-1-11111000000001-1-111-1
χ4233-3-3-333333-3-3-3-3-3-333-111-100000000-3-333-1-11111-1-10000000000000000-111-1-1-1-1-111111111-1-1-1-1000000001-11-1-11
χ43444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+54444-2-2-2-2-2-2-2-20000−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+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+5−1−54444-2-2-2-2-2-2-2-20000−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−521+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+51−5-44-44-222-2-2-22200001+51−5−1−5−1+51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000
χ464444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51+5-44-44-222-2-2-22200001−51+5−1+5−1−51−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000000000000000
χ4744-4-44-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51−5-4-444-2-2-2-2222200001+51−51+51−5−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ4844-4-44-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51+5-4-444-2-2-2-2222200001−51+51−51+5−1+5−1−5−1+5−1−51−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000
χ4944-4-4-44−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+54-4-44-222-222-2-20000−1−5−1+51+51−51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ5044-4-4-44−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−54-4-44-222-222-2-20000−1+5−1−51−51+51−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000
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χ898-8−8i8i00−2−25−2+252+252−254ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ9400000000-40044i−4i000000000000001+51−50000−1−5−1+50000−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ940000000000000000000000000000000000
χ908-8−8i8i00−2+25−2−252−252+254ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118000000002−2i32i3-2−2i2i−2323000000000000−1+52−1−52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ921−521+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1180000000000000000000000000000000000
χ918-8−8i8i00−2+25−2−252−252+254ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1180000000022i3−2i3-2−2i2i23−23000000000000−1+52−1−52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ921−521+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1180000000000000000000000000000000000
χ928-8−8i8i00−2+25−2−252−252+254ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ11800000000-40044i−4i000000000000001−51+50000−1+5−1−50000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1180000000000000000000000000000000000

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