Finite Group Databasebeta

← Group #11747103

Character table — Group #11747103

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222222244444444444444444444444444444444444444444444444444242424242424242424243030303030303030404040404040
order12223444444556661010101010101212121212121515202020202020202020202020303030303030606060606060606060606060606060606060606060606060442020202020202020888888884412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-111-1-1
χ611111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11-1-111
χ711111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11-1-111
χ811111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-111-1-1
χ922222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+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+52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ1022222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+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+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000000
χ1122222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ1222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000000
χ132222222-2-2-2-22222222222222-2-2-2-22222-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000
χ142222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−5200−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+ζ11600000000000000
χ152222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−5200ζ28−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−ζ11600000000000000
χ162222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+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+ζ9200000000000000
χ172222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+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−ζ9200000000000000
χ1822222-2-222-2-222222222222-2-222-2-222-2-222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000
χ1922222-2-222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000000
χ2022222-2-222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000000
χ2122222-2-222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−5200ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000000
χ2222222-2-222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−5200−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000000000
χ2322222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+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+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ2422222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+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+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2522222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2622222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521−521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ272222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1
χ282222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111
χ292222-122-2-2-2-222-1-1-1222222-1-11111-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3
χ302222-122-2-2-2-222-1-1-1222222-1-11111-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3
χ312222-1-2-222-2-222-1-1-122222211-1-111-1-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000−i3i3i3−i3
χ322222-1-2-222-2-222-1-1-122222211-1-111-1-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000i3−i3−i3i3
χ332222-1-2-2-2-22222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000002-2-1-111
χ342222-1-2-2-2-22222-1-1-12222221111-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000-2211-1-1
χ3522-2-22002-200222-2-22-22-2-2-2002-20022002-2002-200002-2-22-2-200000000000022-2-2000022-2-2000000000022−2−222−2−2000000
χ3622-2-22002-200222-2-22-22-2-2-2002-20022002-2002-200002-2-22-2-200000000000022-2-2000022-2-20000000000−2−222−2−222000000
χ3722-2-2200-2200222-2-22-22-2-2-200-22002200-2200-2200002-2-22-2-2000000000000-2-2220000-2-222000000000022−2−2−2−222000000
χ3822-2-2200-2200222-2-22-22-2-2-200-22002200-2200-2200002-2-22-2-2000000000000-2-2220000-2-2220000000000−2−22222−2−2000000
χ392-22-222-2000022-22-2-22-22-2-22-20000222-2002-2000000-22-2-22-20000000022-2-2000022-2-2000000000000002−22−22−22−2000000
χ402-22-222-2000022-22-2-22-22-2-22-20000222-2002-2000000-22-2-22-20000000022-2-2000022-2-200000000000000−22−22−22−22000000
χ412-22-22-22000022-22-2-22-22-2-2-22000022-2200-22000000-22-2-22-200000000-2-2220000-2-222000000000000002−22−2−22−22000000
χ422-22-22-22000022-22-2-22-22-2-2-22000022-2200-22000000-22-2-22-200000000-2-2220000-2-22200000000000000−22−222−22−2000000
χ432-2-22200002-222-2-22-2-2-2-22200002-222000000002-22-2-2-22-2-2222-2-222-2-20000000000000000000000000000002-2-22000000
χ442-2-22200002-222-2-22-2-2-2-22200002-222000000002-22-2-2-22-2-2222-2-222-2-2000000000000000000000000000000-222-2000000
χ452-2-2220000-2222-2-22-2-2-2-2220000-222200000000-22-22-2-22-2-22-2-222-2-222000000000000000000000000002-2-220000000000
χ462-2-2220000-2222-2-22-2-2-2-2220000-222200000000-22-22-2-22-2-22-2-222-2-22200000000000000000000000000-222-20000000000
χ474444-2444444−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-2-2-2-2-21+521−52−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1+5−1+51+521+521+521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52000000000000000000000000
χ484444-2444444−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-2-2-2-2-21−521+52−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1−5−1−51−521−521−521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52000000000000000000000000
χ494444-244-4-4-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-222221+521−52−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−51+521+521+521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+52000000000000000000000000
χ504444-244-4-4-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-222221−521+52−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+51−521−521−521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−52000000000000000000000000
χ514444-2-4-444-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+522-2-2221+521−521+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−51+521+521+521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52000000000000000000000000
χ524444-2-4-444-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−522-2-2221−521+521−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+51−521−521−521+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+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52000000000000000000000000
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χ944-4-44-20000-44−1−5−1+522-21+51+51−51−5−1−5−1+500002-21+521−52000000001+5−1−51−5−1+5−1−52−1−521+52−1+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94000000000000000000000000
χ954-4-44-20000-44−1+5−1−522-21−51−51+51+5−1+5−1−500002-21−521+52000000001−5−1+51+5−1−5−1+52−1+521−52−1−52−1−521+52−1+52−1+521−521−52−1−52−1−521+521+52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118000000000000000000000000
χ964-4-44-20000-44−1+5−1−522-21−51−51+51+5−1+5−1−500002-21−521+52000000001−5−1+51+5−1−5−1+52−1+521−52−1−52−1−521+52−1+52−1+521−521−52−1−52−1−521+521+52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118000000000000000000000000

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