Finite Group Databasebeta

← Group #14283249

Character table — Group #14283249

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222244444666688888888888810101010121212121616161616161620202020202020202424242424242430304040404040404040404040606060606080120120120
order12223666451010104444412152020202020203030302244202020201260606060606044446612124202020202020442881212121224242424444446488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1
χ311111111111111111111111111111-1-1-1-111111111111ii−i−i-1-1-1-11111111-1-1-1i−iii−i−iii−i−i-1ii−i−i-1-1i−i
χ411111111111111111111111111111-1-1-1-111111111111−i−iii-1-1-1-11111111-1-1-1−ii−i−iii−i−iii-1−i−iii-1-1−ii
χ511111111111111111-111-1-1-1-11111111111111-111-1-1-1-111111111-111-1-1-1-111-1-1-11111-1-1-1-111111-1-1-1-1
χ611111111111111111-111-1-1-1-11111111111111-111-1-1-1-1-1-1-1-11111-111-1-1-1-111-111-1-1-1-111111-1-1-1-1-1-111
χ711111111111111111-111-1-1-1-111111-1-1-1-11111-111-1-1-1-1ii−i−i-1-1-1-1-111-1-1-1-1-1-11−iiii−i−i−i−iii-1ii−i−i11−ii
χ811111111111111111-111-1-1-1-111111-1-1-1-11111-111-1-1-1-1−i−iii-1-1-1-1-111-1-1-1-1-1-11i−i−i−iiiii−i−i-1−i−iii11i−i
χ91111111111111-1-1-1-11111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11-1-1-1
χ101111111111111-1-1-1-11111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111-111
χ111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111ii−i−i-1-1-1-1-1-1-1-1-1-1-111-1i−iii−i−iii−i−i1−i−iii-11−ii
χ121111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111−i−iii-1-1-1-1-1-1-1-1-1-1-111-1−ii−i−iii−i−iii1ii−i−i-11i−i
χ131111111111111-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111
χ141111111111111-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1-1-1-11111-11111-11-1-1
χ151111111111111-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i-1-1-1-11-1-11111111−iiii−i−i−i−iii1−i−iii1-1i−i
χ161111111111111-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iii-1-1-1-11-1-11111111i−i−i−iiiii−i−i1ii−i−i1-1−ii
χ1722222222-2222222-2-20-220000-2-222222-2-2-2-2-2-20-2-20000000022-2-202200002200000000000-200000000
χ1822222222-2222222-2-20-220000-2-2222-2-222-2-2-2-20-2-200000000-2-2220220000-2-200000000000200000000
χ1922222222-22222-2-2220-220000-2-222222-2-222220-2-20000000022-2-20-2-20000-2-200000000000200000000
χ2022222222-22222-2-2220-220000-2-2222-2-22222220-2-200000000-2-2220-2-200002200000000000-200000000
χ212222-1-1-1-12222200002-1-1222222-1-1-122220000-1-1-1-1-1-1-12222-1-1-1-1000000000222-1-1-1-1-1-1-1-100000-1000
χ222222-1-1-1-12222200002-1-1222222-1-1-122220000-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000002-2-21111111100000-1000
χ232222-1-1-1-12222200002-1-1222222-1-1-1-2-2-2-20000-1-1-1-1-1-1-12i2i−2i−2i1111000000000-22i−2i−i−iii−i−iii000001000
χ242222-1-1-1-12222200002-1-1222222-1-1-1-2-2-2-20000-1-1-1-1-1-1-1−2i−2i2i2i1111000000000-2−2i2iii−i−iii−i−i000001000
χ252222-1-1-1-1222220000-2-1-1-2-2-2-222-1-1-1222200001-1-111112222-1-1-1-1000000000-2-2-2-1-1-1-11111000001000
χ262222-1-1-1-1222220000-2-1-1-2-2-2-222-1-1-1222200001-1-11111-2-2-2-2-1-1-1-1000000000-2221111-1-1-1-1000001000
χ272222-1-1-1-1222220000-2-1-1-2-2-2-222-1-1-1-2-2-2-200001-1-111112i2i−2i−2i11110000000002−2i2i−i−iiiii−i−i00000-1000
χ282222-1-1-1-1222220000-2-1-1-2-2-2-222-1-1-1-2-2-2-200001-1-11111−2i−2i2i2i111100000000022i−2iii−i−i−i−iii00000-1000
χ292-2-2222-2-2022-2-2002-20020000002-2-2002i−2i22-2-200000001+i−1−i1−i−1+i002i−2i00000002i−2i0001+i−1−i1−i−1+i000001+i−1−i1−i−1+i0000
χ302-2-2222-2-2022-2-2002-20020000002-2-2002i−2i22-2-20000000−1−i1+i−1+i1−i002i−2i00000002i−2i000−1−i1+i−1+i1−i00000−1−i1+i−1+i1−i0000
χ312-2-2222-2-2022-2-2002-20020000002-2-200−2i2i22-2-200000001−i−1+i1+i−1−i00−2i2i0000000−2i2i0001−i−1+i1+i−1−i000001−i−1+i1+i−1−i0000
χ322-2-2222-2-2022-2-2002-20020000002-2-200−2i2i22-2-20000000−1+i1−i−1−i1+i00−2i2i0000000−2i2i000−1+i1−i−1−i1+i00000−1+i1−i−1−i1+i0000
χ332-2-2222-2-2022-2-200-220020000002-2-2002i−2i-2-22200000001+i−1−i1−i−1+i002i−2i0000000−2i2i0001+i−1−i1−i−1+i00000−1−i1+i−1+i1−i0000
χ342-2-2222-2-2022-2-200-220020000002-2-2002i−2i-2-2220000000−1−i1+i−1+i1−i002i−2i0000000−2i2i000−1−i1+i−1+i1−i000001+i−1−i1−i−1+i0000
χ352-2-2222-2-2022-2-200-220020000002-2-200−2i2i-2-22200000001−i−1+i1+i−1−i00−2i2i00000002i−2i0001−i−1+i1+i−1−i00000−1+i1−i−1−i1+i0000
χ362-2-2222-2-2022-2-200-220020000002-2-200−2i2i-2-2220000000−1+i1−i−1−i1+i00−2i2i00000002i−2i000−1+i1−i−1−i1+i000001−i−1+i1+i−1−i0000
χ37444444444-1-1-1-1444444-1-1-1-1-1-1-1-1-1-10000-1-1-1-14-1-1-1-1-1-1000000004-1-1-1-1-1-10000000000000000000000
χ38444444444-1-1-1-14444-44-11111-1-1-1-1-10000-1-1-1-1-4-1-1111100000000-4-1-111110000000000000000000000
χ39444444444-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-1-1-1000011114-1-1-1-1-1-100000000-41111110000000000000000000000
χ40444444444-1-1-1-1-4-4-4-4-44-11111-1-1-1-1-100001111-4-1-1111100000000411-1-1-1-10000000000000000000000
χ4144444444-4-1-1-1-144-4-40-4-1−5−55511-1-1-100001111011−5−555000000000-1-1−5−5550000000000000000000000
χ4244444444-4-1-1-1-144-4-40-4-155−5−511-1-1-10000111101155−5−5000000000-1-155−5−50000000000000000000000
χ4344444444-4-1-1-1-1-4-4440-4-1−5−55511-1-1-10000-1-1-1-1011−5−5550000000001155−5−50000000000000000000000
χ4444444444-4-1-1-1-1-4-4440-4-155−5−511-1-1-10000-1-1-1-101155−5−500000000011−5−5550000000000000000000000
χ454444-2-2-2-2-44444000002-20000-4-4-2-2-244-4-4000002200000000-2-22200000000000000000000000000000
χ464444-2-2-2-2-44444000002-20000-4-4-2-2-2-4-44400000220000000022-2-200000000000000000000000000000
χ4744-4-44-4-4404-4-444i−4i00004000000-44-40000000000000000000000004i−4i00000000000000000000000000
χ4844-4-44-4-4404-4-44−4i4i00004000000-44-4000000000000000000000000−4i4i00000000000000000000000000
χ4944-4-44-4-440-111-14i−4i0000-1ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−551-110000−i5i5−i5i50−55ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118000000000−iiζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ1160000000000000000000000
χ5044-4-44-4-440-111-14i−4i0000-1−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−551-110000−i5i5−i5i50−55−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118000000000−ii−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ1160000000000000000000000
χ5144-4-44-4-440-111-14i−4i0000-1ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ1185−51-110000i5−i5i5−i505−5ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118000000000−iiζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ1160000000000000000000000
χ5244-4-44-4-440-111-14i−4i0000-1−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ1185−51-110000i5−i5i5−i505−5−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118000000000−ii−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ1160000000000000000000000
χ5344-4-44-4-440-111-1−4i4i0000-1ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−551-110000i5−i5i5−i50−55ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118000000000i−i−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ1160000000000000000000000
χ5444-4-44-4-440-111-1−4i4i0000-1−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−551-110000i5−i5i5−i50−55−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118000000000i−iζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ1160000000000000000000000
χ5544-4-44-4-440-111-1−4i4i0000-1ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ1185−51-110000−i5i5−i5i505−5ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118000000000i−i−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ1160000000000000000000000
χ5644-4-44-4-440-111-1−4i4i0000-1−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ1185−51-110000−i5i5−i5i505−5−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118000000000i−iζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ1160000000000000000000000
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χ7288-8-8-444-40-222-200000012ζ14+2ζ22−2ζ38−2ζ46+2ζ62−2ζ86+2ζ94−2ζ118−2ζ14−2ζ22+2ζ38+2ζ46−2ζ62+2ζ86−2ζ94+2ζ1182ζ14−2ζ22+2ζ38−2ζ46−2ζ62−2ζ86+2ζ94+2ζ118−2ζ14+2ζ22−2ζ38+2ζ46+2ζ62+2ζ86−2ζ94−2ζ118−2525-11-10000000005−5−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ1180000000000000000000000000000000000000
χ7388-8-8-444-40-222-20000001−2ζ14−2ζ22+2ζ38+2ζ46−2ζ62+2ζ86−2ζ94+2ζ1182ζ14+2ζ22−2ζ38−2ζ46+2ζ62−2ζ86+2ζ94−2ζ118−2ζ14+2ζ22−2ζ38+2ζ46+2ζ62+2ζ86−2ζ94−2ζ1182ζ14−2ζ22+2ζ38−2ζ46−2ζ62−2ζ86+2ζ94+2ζ118−2525-11-10000000005−5ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ1180000000000000000000000000000000000000
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χ788-8-8888-8-80-2-222008-800-2000000-2220000-2-22200000000000000000000000000000000000000000000
χ798-8-8888-8-80-2-22200-8800-2000000-222000022-2-200000000000000000000000000000000000000000000
χ8016-1616-16-88-880-44-440000002000000-2-220000000000000000000000000000000000000000000000000000
χ8116-16-1616-8-8880-4-44400000020000002-2-20000000000000000000000000000000000000000000000000000

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