Finite Group Databasebeta

← Group #11749224

Character table — Group #11749224

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222222222444444444444448888888888888888888101012121212121212121212121220202020202424242440404060606060
order122234455666101010101010121215152020202030303030303041212202020206060606060606060606060604422884040404040404040412121212101010102664488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1
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+52002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000−1−52−1−52−1+52−1+520000000
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+5200-2-2-2-21+521+521+521+521−521−521−521−52000001+521+521−521−520000000
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+521−521−521−521−520022-2-21+521+521+521+521−521−521−521−5200000−1−52−1−52−1+52−1+520000000
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+521−521−521−521−5200-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000001+521+521−521−520000000
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+52−1−52−1−52−1−52−1−52002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000−1+52−1+52−1−52−1−520000000
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+52−1−52−1−52−1−52−1−5200-2-2-2-21−521−521−521−521+521+521+521+52000001−521−521+521+520000000
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+520022-2-21−521−521−521−521+521+521+521+5200000−1+52−1+52−1−52−1−520000000
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+5200-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000001−521−521+521+520000000
χ1722222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-20000000022000000000000-222-2-200000000000
χ1822222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-200000000-2-20000000000002-2-22200000000000
χ192222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000000002-1-1-1-100002-1-10000
χ202222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000000-211110000-2110000
χ212222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111220000000000002-1-1-1-10000-2110000
χ222222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111-2-2000000000000-2111100002-1-10000
χ232222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10−i3i300001111−i3−i3i3i3−i3−i3i3i322000000000000-2-1-11100000−i3i30000
χ242222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10−i3i300001111−i3−i3i3i3−i3−i3i3i3-2-2000000000000211-1-100000i3−i30000
χ252222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10i3−i300001111i3i3−i3−i3i3i3−i3−i322000000000000-2-1-11100000i3−i30000
χ262222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-10i3−i300001111i3i3−i3−i3i3i3−i3−i3-2-2000000000000211-1-100000−i3i30000
χ2722-2-222-2222-2-2-2-2-2-2222-22222-2-2-2-2-2-22200000002-22-200000000000000000000000000000000002i−2i00
χ2822-2-222-2222-2-2-2-2-2-2222-22222-2-2-2-2-2-22200000002-22-20000000000000000000000000000000000−2i2i00
χ2922-2-22-22222-2-2-2-2-2-222-2222-2-222-2-2-2-2220000000-22-2200000000002-20000000000000002-22-20000000
χ3022-2-22-22222-2-2-2-2-2-222-2222-2-222-2-2-2-2220000000-22-220000000000-22000000000000000-22-220000000
χ3122-2-22-22−1−52−1+522-2-21+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+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116002-200−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+ζ11600000−1−521+52−1+521−520000000
χ3222-2-22-22−1−52−1+522-2-21+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+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600-2200ζ28−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−ζ116000001+52−1−521−52−1+520000000
χ3322-2-22-22−1−52−1+522-2-21+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−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−ζ116002-200ζ28−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−ζ11600000−1−521+52−1+521−520000000
χ3422-2-22-22−1−52−1+522-2-21+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−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−ζ11600-2200−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+ζ116000001+52−1−521−52−1+520000000
χ3522-2-22-22−1+52−1−522-2-21−521−521+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−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+ζ92002-200ζ4+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+ζ9200000−1+521−52−1−521+520000000
χ3622-2-22-22−1+52−1−522-2-21−521−521+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−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+ζ9200-2200−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−ζ92000001−52−1+521+52−1−520000000
χ3722-2-22-22−1+52−1−522-2-21−521−521+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+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92002-200−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−ζ9200000−1+521−52−1−521+520000000
χ3822-2-22-22−1+52−1−522-2-21−521−521+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+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200-2200ζ4+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+ζ92000001−52−1+521+52−1−520000000
χ392-22-220022-22-22-22-2-2-2002200002-22-2-2-200000000000000000002i−2i00−i2i2−i2i2−i2i2−i2i2−i2i202i−2i000000000002−2
χ402-22-220022-22-22-22-2-2-2002200002-22-2-2-200000000000000000002i−2i00i2−i2i2−i2i2−i2i2−i2i2−i202i−2i00000000000−22
χ412-22-220022-22-22-22-2-2-2002200002-22-2-2-20000000000000000000−2i2i00−i2i2−i2i2−i2i2−i2i2−i2i20−2i2i00000000000−22
χ422-22-220022-22-22-22-2-2-2002200002-22-2-2-20000000000000000000−2i2i00i2−i2i2−i2i2−i2i2−i2i2−i20−2i2i000000000002−2
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
χ494444-2-4-4−1−5−1+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+521−520−2i32i30000−1−52−1−52−1+52−1+52ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116000000000000000000000000000000
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+521−5202i3−2i30000−1−52−1−52−1+52−1+52−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−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+520−2i32i30000−1+52−1+52−1−52−1−52ζ4−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+ζ92000000000000000000000000000000
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+5202i3−2i30000−1+52−1+52−1−52−1−52−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−ζ92000000000000000000000000000000
χ5344-4-444-4−1−5−1+54-4-41+51+51−51−5−1−5−1+54-4−1−5−1+5−1−5−1+51+51−51+51+51−51−5−1−5−1+50000000−1−51+5−1+51−500000000000000000000000000000000000000
χ5444-4-444-4−1+5−1−54-4-41−51−51+51+5−1+5−1−54-4−1+5−1−5−1+5−1−51−51+51−51−51+51+5−1+5−1−50000000−1+51−5−1−51+500000000000000000000000000000000000000
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χ818-8-88-400−2+25−2−2544-42−25−2+252+25−2−252−252+25001−51+50000−1+51−5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000000

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