Finite Group Databasebeta

← Group #14511813

Character table — Group #14511813

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111111112222222222222222666688888888101010101212121212121212121212121212121212121212121212121212121216161616161616161616161616161616242424242424242424244040404040404040606060606060120120
order1222222255101010101010101010101010101044443666666622228888202020202020202040404040404040404040404040404040151530303030303030303030303030304420202020202020206666666644888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111-1-1-11-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i1111-1-1-1-11-1ii−i−ii−i
χ6111-1-1-11-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii1111-1-1-1-11-1−i−iii−ii
χ7111-1-1-11-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i-1-1-1-11111-11−i−iii−ii
χ8111-1-1-11-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii-1-1-1-11111-11ii−i−ii−i
χ92222222222222222222222222222-1-1-1-1-1-1-1-122220000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-122000000
χ102222222222222222222222222222-1-1-1-1-1-1-1-1-2-2-2-20000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111-2-2000000
χ1122222222−1−52−1+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+5222222222222200002222−1−52−1−52−1+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+52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ1222222222−1−52−1+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+522222222222220000-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000000000
χ1322222222−1+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+52−1−5222222222222200002222−1+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+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ1422222222−1+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+52−1−522222222222220000-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000000000
χ15222-2-2-22-2222222-2-2-2-2-2-222-2-222-2-2-1-1-1-1111122-2-200002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-1111111110000000000-1-1-1-111112-2000000
χ16222-2-2-22-2222222-2-2-2-2-2-222-2-222-2-2-1-1-1-11111-2-22200002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-11111111100000000001111-1-1-1-1-22000000
χ17222-2-2-22-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521−521−521−52−1−52−1+521+521−5222-2-22222-2-2-2-200002i2i−2i−2i−1−52−1−52−1+52−1+521+521−521+521−52−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522i−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+ζ940000000000000000
χ18222-2-2-22-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521−521−521−52−1−52−1+521+521−5222-2-22222-2-2-2-20000−2i−2i2i2i−1−52−1−52−1+52−1+521+521−521+521−52ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−2i2iζ22+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−ζ940000000000000000
χ19222-2-2-22-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521+521+521+52−1+52−1−521−521+5222-2-22222-2-2-2-200002i2i−2i−2i−1+52−1+52−1−52−1−521−521+521−521+52−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522i−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+ζ1180000000000000000
χ20222-2-2-22-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521+521+521+52−1+52−1−521−521+5222-2-22222-2-2-2-20000−2i−2i2i2i−1+52−1+52−1−52−1−521−521+521−521+52ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−2i2iζ14+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−ζ1180000000000000000
χ2122-222-2-2-2222-22-222-222-2-2-2-2-20000-111-111-1-12-22-22−22−20000000022−2−222−2−222−2−222−2−2-1-111-111-111-1-111-1-1000000000011-1-111-1-1002−22−200
χ2222-222-2-2-2222-22-222-222-2-2-2-2-20000-111-111-1-12-22-2−22−2200000000−2−222−2−222−2−222−2−222-1-111-111-111-1-111-1-1000000000011-1-111-1-100−22−2200
χ2322-222-2-2-2222-22-222-222-2-2-2-2-20000-111-111-1-1-22-222−22−20000000022−2−222−2−222−2−222−2−2-1-111-111-111-1-111-1-10000000000-1-111-1-11100−22−2200
χ2422-222-2-2-2222-22-222-222-2-2-2-2-20000-111-111-1-1-22-22−22−2200000000−2−222−2−222−2−222−2−222-1-111-111-111-1-111-1-10000000000-1-111-1-111002−22−200
χ2522-2-2-22-22222-22-2-2-22-2-22-2-2220000-111-1-1-1112-2-22−i2i2i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-1-111-111-1-1-111-1-111000000000011-1-1-1-11100−i2i2i2−i200
χ2622-2-2-22-22222-22-2-2-22-2-22-2-2220000-111-1-1-1112-2-22i2−i2−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-1-111-111-1-1-111-1-111000000000011-1-1-1-11100i2−i2−i2i200
χ2722-2-2-22-22222-22-2-2-22-2-22-2-2220000-111-1-1-111-222-2−i2i2i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-1-111-111-1-1-111-1-1110000000000-1-11111-1-100i2−i2−i2i200
χ2822-2-2-22-22222-22-2-2-22-2-22-2-2220000-111-1-1-111-222-2i2−i2−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-1-111-111-1-1-111-1-1110000000000-1-11111-1-100−i2i2i2−i200
χ292-2-22-222-222-2-2-2-22-2-22-2-222222-22-222-2-22-22-2000000002-22-2-2-2220000000000000000222-2-22-2-22-22-22-22-200000000000000000000000000
χ302-2-22-222-222-2-2-2-22-2-22-2-222222-22-2-1-111-11-11000000002-22-2-2-2220000000000000000-1-1-111-111-11-11-11-110000000000−i3i3−i3i3−i3i3−i3i300000000
χ312-2-22-222-222-2-2-2-22-2-22-2-222222-22-2-1-111-11-11000000002-22-2-2-2220000000000000000-1-1-111-111-11-11-11-110000000000i3−i3i3−i3i3−i3i3−i300000000
χ322-2-22-222-2−1−52−1+521+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1+522-22-222-2-22-22-200000000−1−521+52−1+521−521+521−52−1−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1+52−1−521+521+52−1+521−521−52−1−521+52−1−521+52−1+521−52−1+521−5200−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+ζ1160000000000000000
χ332-2-22-222-2−1−52−1+521+521+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1+522-22-222-2-22-22-200000000−1−521+52−1+521−521+521−52−1−52−1+52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1+52−1−521+521+52−1+521−521−52−1−521+52−1−521+52−1+521−52−1+521−5200ζ28−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−ζ1160000000000000000
χ342-2-22-222-2−1+52−1−521−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1−522-22-222-2-22-22-200000000−1+521−52−1−521+521−521+52−1+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1−52−1+521−521−52−1−521+521+52−1+521−52−1+521−52−1−521+52−1−521+5200ζ4+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+ζ920000000000000000
χ352-2-22-222-2−1+52−1−521−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1−522-22-222-2-22-22-200000000−1+521−52−1−521+521−521+52−1+52−1−52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+52−1−52−1+521−521−52−1−521+521+52−1+521−52−1+521−52−1−521+52−1−521+5200−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−ζ920000000000000000
χ362-2-2-22-22222-2-2-2-2-222-22222-2-22-2-2222-2-2-22-22000000002-22-222-2-20000000000000000222-2-22-2-2-22-22-22-2200000000000000000000000000
χ372-2-2-22-22222-2-2-2-2-222-22222-2-22-2-22-1-1111-11-1000000002-22-222-2-20000000000000000-1-1-111-1111-11-11-11-10000000000−i3i3−i3i3i3−i3i3−i300000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.