Finite Group Databasebeta

← Group #11795352

Character table — Group #11795352

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122444444444444448888888888181818182424242424242424242424242424242436364848484872727272
order12224433666666881212121212122424242424242424224444444488121212122424242488121212128888
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111
χ711111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111
χ811111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ9222222222222222222222222222222-2-2-2-20000000000000000-2-200000000
χ1022222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200000000
χ112222-2-22222222200-2-2-2-2-2-20000000022-2-20000002i−2i00002i2i−2i−2i0000000000
χ122222-2-22222222200-2-2-2-2-2-20000000022-2-2000000−2i2i0000−2i−2i2i2i0000000000
χ132222-2-22222222200-2-2-2-2-2-200000000-2-22200002-20022-2-200000000000000
χ142222-2-22222222200-2-2-2-2-2-200000000-2-2220000-2200-2-22200000000000000
χ1522-2-22-22222-2-2-2-20022-2-22-2000000002-22-20000000000000000000000002-2
χ1622-2-22-22222-2-2-2-20022-2-22-2000000002-22-2000000000000000000000000-22
χ1722-2-22-22222-2-2-2-20022-2-22-200000000-22-2200000000000000000000002-200
χ1822-2-22-22222-2-2-2-20022-2-22-200000000-22-220000000000000000000000-2200
χ1922-2-2-222222-2-2-2-200-2-222-22000000002-2-222i−2i00000000000000002i−2i000000
χ2022-2-2-222222-2-2-2-200-2-222-22000000002-2-22−2i2i0000000000000000−2i2i000000
χ2122-2-2-222222-2-2-2-200-2-222-2200000000-222-2002i−2i00000000000000002i−2i0000
χ2222-2-2-222222-2-2-2-200-2-222-2200000000-222-200−2i2i0000000000000000−2i2i0000
χ234444441-21-211-2-2441111-2-21111-2-2-2-2000000002222-1-1-1-1-1-1-1-10000000000
χ244444441-21-211-2-2441111-2-21111-2-2-2-200000000-2-2-2-2111111110000000000
χ254444441-21-211-2-2-4-41111-2-2-1-1-1-122220000000022-2-2-1-1-1-111110000000000
χ264444441-21-211-2-2-4-41111-2-2-1-1-1-1222200000000-2-2221111-1-1-1-10000000000
χ27444444-21-21-2-21144-2-2-2-211-2-2-2-211110000222200000000000000-1-1-1-10000
χ28444444-21-21-2-21144-2-2-2-211-2-2-2-211110000-2-2-2-20000000000000011110000
χ29444444-21-21-2-211-4-4-2-2-2-2112222-1-1-1-1000022-2-200000000000000-1-1110000
χ30444444-21-21-2-211-4-4-2-2-2-2112222-1-1-1-10000-2-2220000000000000011-1-10000
χ314444-4-41-21-211-2-200-1-1-1-1223i3i−3i−3i0000000000002-22i−2i-1-111−i−iii0000000000
χ324444-4-41-21-211-2-200-1-1-1-1223i3i−3i−3i000000000000-22−2i2i11-1-1ii−i−i0000000000
χ334444-4-41-21-211-2-200-1-1-1-122−3i−3i3i3i0000000000002-2−2i2i-1-111ii−i−i0000000000
χ344444-4-41-21-211-2-200-1-1-1-122−3i−3i3i3i000000000000-222i−2i11-1-1−i−iii0000000000
χ3544-4-4-44-21-2122-1-10022-2-2-11000033-3-300002i−2i2i−2i00000000000000−ii−ii0000
χ3644-4-4-44-21-2122-1-10022-2-2-11000033-3-30000−2i2i−2i2i00000000000000i−ii−i0000
χ3744-4-4-44-21-2122-1-10022-2-2-110000-3-33300002i−2i−2i2i00000000000000−iii−i0000
χ3844-4-4-44-21-2122-1-10022-2-2-110000-3-3330000−2i2i2i−2i00000000000000i−i−ii0000
χ394-44-4001-2-121-12-2−2i22i23i−3i3i−3i00−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−i2i2−i2i2000000000000−i3i33−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ404-44-4001-2-121-12-2−2i22i23i−3i3i−3i00−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−i2i2−i2i2000000000000i3−i3−33ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ414-44-4001-2-121-12-2−2i22i2−3i3i−3i3i002ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i2000000000000−i3i3−33ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ424-44-4001-2-121-12-2−2i22i2−3i3i−3i3i002ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i2000000000000i3−i33−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ434-44-4001-2-121-12-22i2−2i23i−3i3i−3i00ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2000000000000−i3i33−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ444-44-4001-2-121-12-22i2−2i23i−3i3i−3i00ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2000000000000i3−i3−33−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ454-44-4001-2-121-12-22i2−2i2−3i3i−3i3i00−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2000000000000−i3i3−33−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ464-44-4001-2-121-12-22i2−2i2−3i3i−3i3i00−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2000000000000i3−i33−3ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ474-44-40044-4-44-4-44−2i22i20000002i2−2i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ484-44-40044-4-44-4-442i2−2i2000000−2i22i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ494-4-440044-4-4-444-4000000000000000000000000000000000000−2i22i200000000
χ504-4-440044-4-4-444-40000000000000000000000000000000000002i2−2i200000000
χ518888-8-8-42-42-4-422004444-2-200000000000000000000000000000000000000
χ5288-8-88-82-42-4-2-2440022-2-2-4400000000000000000000000000000000000000
χ5388-8-88-8-42-4244-2-200-4-4442-200000000000000000000000000000000000000
χ5488-8-8-882-42-4-2-24400-2-2224-400000000000000000000000000000000000000
χ558-88-800-424-2-44-22−4i24i2000000−2i22i22i2−2i2i2−i2i2−i2000000000000000000000000000000
χ568-88-800-424-2-44-224i2−4i20000002i2−2i2−2i22i2−i2i2−i2i2000000000000000000000000000000
χ578-8-88002-4-24-22-44006i−6i−6i6i0000000000000000000000000000000000000000
χ588-8-88002-4-24-22-4400−6i6i6i−6i0000000000000000000000000000000000000000
χ598-8-8800-424-24-42-2000000000000−3i23i23i2−3i2000000000000000000000000000000
χ608-8-8800-424-24-42-20000000000003i2−3i2−3i23i2000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.