Finite Group Databasebeta

← Group #14511849

Character table — Group #14511849

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222444466668888888810101010121212121212121216161616161616161616161616161616242424242424242424242424242424242424242440404040404040406060120120120120
order1222445510101010101020202020224436661212121288881010101020202020151530303030303060606060606060604488202020202020202040404040404040402424242424242424882288
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
χ51-11-11-111-1-111-1-111-1-11-1-111-1-1111-1-1ii−i−i11-1-111-1-111-1-1-1-1111111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−ii−i1-11-1
χ61-11-11-111-1-111-1-111-1-11-1-111-1-1111-1-1ii−i−i11-1-111-1-111-1-1-1-1111111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−ii−i-11-11
χ71-11-11-111-1-111-1-111-1-11-1-111-1-1111-1-1−i−iii11-1-111-1-111-1-1-1-1111111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−ii-11-11
χ81-11-11-111-1-111-1-111-1-11-1-111-1-1111-1-1−i−iii11-1-111-1-111-1-1-1-1111111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ii1-11-1
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
χ152222-2-222222222-2-2-2-2-2-2222222-2-2-2-20000-2-2-2-2222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ162222-2-222222222-2-2-2-2-2-222-1-1-1-111110000-2-2-2-22222-1-1-1-1-1-1-1-1111111110000000000000000000033−3−333−3−3000000
χ172222-2-222222222-2-2-2-2-2-222-1-1-1-111110000-2-2-2-22222-1-1-1-1-1-1-1-11111111100000000000000000000−3−333−3−333000000
χ182222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52-2-2222222-2-2-2-200001+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+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+521−52-2-2222222-2-2-2-200001+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−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+52-2-2222222-2-2-2-200001−521+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+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+52-2-2222222-2-2-2-200001−521+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−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
χ222-22-22-222-2-222-2-222-2-22-2-22-111-1-1-1112i2i−2i−2i22-2-222-2-2-1-11111-1-1-1-1-1-1111100000000000000000000−i−i−i−iiiii2i−2i0000
χ232-22-22-222-2-222-2-222-2-22-2-22-111-1-1-111−2i−2i2i2i22-2-222-2-2-1-11111-1-1-1-1-1-1111100000000000000000000iiii−i−i−i−i−2i2i0000
χ242-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−522-2-222-2-2222-2-20000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522i−2i2i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ9400000000000000
χ252-22-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−522-2-222-2-2222-2-20000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ9400000000000000
χ262-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+522-2-222-2-2222-2-20000−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i2i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ11800000000000000
χ272-22-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+522-2-222-2-2222-2-20000−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ11800000000000000
χ282-22-2-2222-2-222-2-2-2-222-22-222-2-22-2-2220000-2-22222-2-222-2-2-2-222-2-2-2-222220000000000000000000000000000000000
χ292-22-2-2222-2-222-2-2-2-222-22-22-111-111-1-10000-2-22222-2-2-1-11111-1-11111-1-1-1-100000000000000000000−i3−i3i3i3i3i3−i3−i3000000
χ302-22-2-2222-2-222-2-2-2-222-22-22-111-111-1-10000-2-22222-2-2-1-11111-1-11111-1-1-1-100000000000000000000i3i3−i3−i3−i3−i3i3i3000000
χ312-22-2-22−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52-22-222-2-22-2-22200001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000000000
χ322-22-2-22−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52-22-222-2-22-2-22200001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ9400000000000000
χ332-22-2-22−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52-22-222-2-22-2-22200001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ11800000000000000
χ342-22-2-22−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52-22-222-2-22-2-22200001−521+52−1+52−1−52−1+52−1−521−521+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−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ11800000000000000
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
χ393-33-33-333-3-333-3-333-3-3-111-1000000003i3i−3i−3i-1-111-1-1110000000000000000i−i−iiiiii−i−i−i−i−i−i−i−iiiii00000000−ii1-1-11
χ403-33-33-333-3-333-3-333-3-3-111-1000000003i3i−3i−3i-1-111-1-1110000000000000000−iii−i−i−i−i−iiiiiiiii−i−i−i−i00000000−ii-111-1
χ413-33-33-333-3-333-3-333-3-3-111-100000000−3i−3i3i3i-1-111-1-1110000000000000000i−i−iiiiii−i−i−i−i−i−i−i−iiiii00000000i−i-111-1
χ423-33-33-333-3-333-3-333-3-3-111-100000000−3i−3i3i3i-1-111-1-1110000000000000000−iii−i−i−i−i−iiiiiiiii−i−i−i−i00000000i−i1-1-11
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+51−5-4-444-2-2-2-2222200001+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
χ464444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+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
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χ928-8-8800−2+25−2−252−252+252−252+25−2+25−2−2500000000-44-4400000000000000001−51+5−1+51−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000

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