Finite Group Databasebeta

← Group #14291152

Character table — Group #14291152

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222444444444444444448888888888888888881616161616161616161616161616162424242424242424242424244040404040404040484848488080120120120120
order1222355666101010101010444121215152020202030303030303012122020202060606060606060606060606041212202020206060606060606060248840404040404040404488242424241010202012122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ6111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ7111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-1
χ922222222222222222-2-2-2-22222222222222-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000002-200000000000000000022-2-2000000
χ1022222222222222222-2-2-2-22222222222222-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000-22000000000000000000-2-222000000
χ112222222222222222-22-22222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000002-200000000002-20000
χ122222222222222222-22-22222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000-220000000000-220000
χ132222222222222222-2-22-2-222-2-2-2-2222222-2222-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000002-200
χ142222222222222222-2-22-2-222-2-2-2-2222222-2222-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000-2200
χ1522222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+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+5200000000−1−52−1+52−1−52−1+52000000
χ1622222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+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+521−521−521−521−52000000001+521−521+521−52000000
χ1722222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521+521+521−521−521−521−5222-2-21+521+521+521+521−521−521−521−5200000000−1−52−1+52−1−52−1+52000000
χ1822222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000001+521−521+521−52000000
χ1922222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ582-200−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ5800000000−1−52−1+521+521−52000000
χ2022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58-2200ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58000000001+521−52−1−52−1+52000000
χ2122222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ582-200ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ5800000000−1−52−1+521+521−52000000
χ2222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58-2200−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58000000001+521−52−1−52−1+52000000
χ2322222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000
χ2422222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+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+52000000001−521+521−521+52000000
χ2522222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521−521−521+521+521+521+5222-2-21−521−521−521−521+521+521+521+5200000000−1+52−1−52−1+52−1−52000000
χ2622222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000001−521+521−521+52000000
χ2722222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ462-200ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ4600000000−1+52−1−521−521+52000000
χ2822222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46-2200−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46000000001−521+52−1+52−1−52000000
χ2922222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ462-200−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ4600000000−1+52−1−521−521+52000000
χ3022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46-2200ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46000000001−521+52−1+52−1−52000000
χ312222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-10000000000002222-1-1-1-10000-1-10000
χ322222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1000000000000-2-2-2-211110000110000
χ332222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-21111111100000000000022-2-211110000-1-10000
χ342222-122-1-1-1222222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-211111111000000000000-2-222-1-1-1-10000110000
χ352222-122-1-1-1222222-22-2-1-1-1-1-2-2-2-2-1-1-1-1-1-111-2-22211111111-1-1-1-10−i3i30000−i3i3−i3i3−i3i3−i3i30000000000002-200−i3−i3i3i30000-110000
χ362222-122-1-1-1222222-22-2-1-1-1-1-2-2-2-2-1-1-1-1-1-111-2-22211111111-1-1-1-10−i3i30000−i3i3−i3i3−i3i3−i3i3000000000000-2200i3i3−i3−i300001-10000
χ372222-122-1-1-1222222-22-2-1-1-1-1-2-2-2-2-1-1-1-1-1-111-2-22211111111-1-1-1-10i3−i30000i3−i3i3−i3i3−i3i3−i30000000000002-200i3i3−i3−i30000-110000
χ382222-122-1-1-1222222-22-2-1-1-1-1-2-2-2-2-1-1-1-1-1-111-2-22211111111-1-1-1-10i3−i30000i3−i3i3−i3i3−i3i3−i3000000000000-2200−i3−i3i3i300001-10000
χ3944444−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5-44-444−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+5-4-41+51−5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000
χ4044444−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5-4-44-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+5-44−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000000
χ4144444−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5-44-444−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−5-4-41−51+5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000
χ4244444−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5-4-44-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−5-44−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000000
χ434444-244-2-2-24444444-4-422-2-24444-2-2-2-2-2-2-22-4-4-4-4-2-2-2-222222222000000000000000000000000000000000000000000000
χ444444-244-2-2-2444444-4-4422-2-2-4-4-4-4-2-2-2-2-2-22-244-4-42222-2-2-2-22222000000000000000000000000000000000000000000000
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χ918-8-888−2+25−2−25-8-88−2+25−2−252−252+252−252+2500000−2+25−2−2500002−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-48844-488-8-8-8-800000-4-400004-44-444000000000000000000000000000000000000000000000000000000000000000
χ938-8-88-4−2−25−2+2544-4−2−25−2+252+252−252+252−25000001+51−50000−1−51+5−1+51−5−1−5−1+500000000002ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ580000000000000000000000000000000000000000000000000
χ948-8-88-4−2−25−2+2544-4−2−25−2+252+252−252+252−25000001+51−50000−1−51+5−1+51−5−1−5−1+50000000000−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ580000000000000000000000000000000000000000000000000
χ958-8-88-4−2+25−2−2544-4−2+25−2−252−252+252−252+25000001−51+50000−1+51−5−1−51+5−1+5−1−50000000000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ460000000000000000000000000000000000000000000000000
χ968-8-88-4−2+25−2−2544-4−2+25−2−252−252+252−252+25000001−51+50000−1+51−5−1−51+5−1+5−1−500000000002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ460000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.