Finite Group Databasebeta

← Group #11749237

Character table — Group #11749237

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222224444444444444488888888888888888881212121212121212121212122020202020202020242424243030404060120
order12223445566610101010101012121515202020203030303030304121220202020606060606060606060606060228840404040404040404488242424241010101044121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1
χ611111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11
χ711111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11
χ811111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-11-1
χ92222222−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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
χ102222222−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−52000000001+521+521−521−52000000
χ112222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+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
χ122222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+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
χ132222222−1+52−1−52222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000−1+52−1+52−1−52−1−52000000
χ142222222−1+52−1−52222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+52000000001−521−521+521+52000000
χ152222222−1+52−1−52222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-21−521−521−521−521+521+521+521+5200000000−1+52−1+52−1−52−1−52000000
χ162222222−1+52−1−52222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+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
χ1722222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-2000000000000000000000000000000002200-20
χ1822222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-200000000000000000000000000000000-2-20020
χ192222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-1000000-1-100
χ202222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-211110000001100
χ212222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-11111111100000000000022-2-21111000000-1-100
χ222222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111000000000000-2-222-1-1-1-10000001100
χ232-22-220022-2-222-22-2-2-2002200002-22-2-2-2000000000000000000000−i2i2−i2−i2i2i2−i2−i2i2i200−i2i2−i2−i2i2i200002-20000
χ242-22-220022-2-222-22-2-2-2002200002-22-2-2-2000000000000000000000−i2i2−i2−i2i2i2−i2−i2i2i200i2−i2i2i2−i2−i20000-220000
χ252-22-220022-2-222-22-2-2-2002200002-22-2-2-2000000000000000000000i2−i2i2i2−i2−i2i2i2−i2−i200−i2i2−i2−i2i2i20000-220000
χ262-22-220022-2-222-22-2-2-2002200002-22-2-2-2000000000000000000000i2−i2i2i2−i2−i2i2i2−i2−i200i2−i2i2i2−i2−i200002-20000
χ272-2-2222-222-22-2-2-2-2-2222-22222-2-2-2-2-2-22200000002-22-2000000000000000000002i−2i0000000000002i−2i00
χ282-2-2222-222-22-2-2-2-2-2222-22222-2-2-2-2-2-22200000002-22-200000000000000000000−2i2i000000000000−2i2i00
χ292-2-222-2222-22-2-2-2-2-222-2222-2-222-2-2-2-2220000000-22-22000000002-20000000000000000002-22-2000000
χ302-2-222-2222-22-2-2-2-2-222-2222-2-222-2-2-2-2220000000-22-2200000000-22000000000000000000-22-22000000
χ312-2-222-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+52−1−521−52−1+52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1162-200−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+ζ11600000000−1−521+52−1+521−52000000
χ322-2-222-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+52−1−521−52−1+52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116-2200ζ28−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−ζ116000000001+52−1−521−52−1+52000000
χ332-2-222-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+52−1−521−52−1+52ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ1162-200ζ28−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−ζ11600000000−1−521+52−1+521−52000000
χ342-2-222-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+52−1−521−52−1+52ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116-2200−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+ζ116000000001+52−1−521−52−1+52000000
χ352-2-222-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−52−1+521+52−1−52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ922-200ζ4+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+ζ9200000000−1+521−52−1−521+52000000
χ362-2-222-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−52−1+521+52−1−52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92-2200−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−ζ92000000001−52−1+521+52−1−52000000
χ372-2-222-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−52−1+521+52−1−52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ922-200−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−ζ9200000000−1+521−52−1−521+52000000
χ382-2-222-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−52−1+521+52−1−52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92-2200ζ4+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+ζ92000000001−52−1+521+52−1−52000000
χ392-2-22-12-2221-11-2-2-2-222-11-1-122-2-21111-1-10−i3i30000-11-11−i3i3−i3i3−i3i3−i3i30000000000002i−2i003−33−3000000−ii00
χ402-2-22-12-2221-11-2-2-2-222-11-1-122-2-21111-1-10−i3i30000-11-11−i3i3−i3i3−i3i3−i3i3000000000000−2i2i00−33−33000000i−i00
χ412-2-22-12-2221-11-2-2-2-222-11-1-122-2-21111-1-10i3−i30000-11-11i3−i3i3−i3i3−i3i3−i30000000000002i−2i00−33−33000000−ii00
χ422-2-22-12-2221-11-2-2-2-222-11-1-122-2-21111-1-10i3−i30000-11-11i3−i3i3−i3i3−i3i3−i3000000000000−2i2i003−33−3000000i−i00
χ4344444-4-4−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+500000001+51+51−51−500000000000000000000000000000000000000
χ4444444-4-4−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−500000001−51−51+51+500000000000000000000000000000000000000
χ454444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−524-2-2−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000000
χ464444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−52-4221+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000
χ474444-244−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521−521+521+521−521+524-2-2−1+5−1+5−1−5−1−51−521−521+521+521−521−521−521−521+521+521+521+52000000000000000000000000000000
χ484444-244−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521−521+521+521−521+52-4221−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000
χ494444-2-4-444-2-2-244444422-2-2-4-4-4-4-2-2-2-2-2-20000000222200000000000000000000000000000000000000
χ504444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5221+521−521+51−51+51−51+521+521−521−521+521−520000000−1−52−1−52−1+52−1+52ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116000000000000000000000000000000
χ514444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5221+521−521+51−51+51−51+521+521−521−521+521−520000000−1−52−1−52−1+52−1+52−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116000000000000000000000000000000
χ524444-2-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5221−521+521−51+51−51+51−521−521+521+521−521+520000000−1+52−1+52−1−52−1−52−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92000000000000000000000000000000
χ534444-2-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5221−521+521−51+51−51+51−521−521+521+521−521+520000000−1+52−1+52−1−52−1−52ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92000000000000000000000000000000
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χ714-4-44-24-4−1+5−1−52-221−51−51+51+5−1+5−1−5-221−521+52−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521+520−2i32i300001−52−1+521+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+ζ92000000000000000000000000000000
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χ818-88-8-400−2+25−2−2544-4−2+252−25−2−252+252−252+25001−51+500001−5−1+51+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000

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