Finite Group Databasebeta

← Group #11920556

Character table — Group #11920556

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222224466666688888888121212161616161616161624242424242424242424242424242436364848487272144
order122234466612124488883666121212124121236661212121288122424242424242424242424248841212882
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1
χ411111111111111-1-1-1-11111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5222222222222222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1002-1-1-1-1-1-1-1-1000022000000
χ622222222222222-2-2-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1002111111110000-2-2000000
χ722222-2-2222-2-22200002222-2-2-2-2-2222222-2-2-2-200-200000000000000000000
χ822222-2-2222-2-2220000-1-1-1-11111-222-1-1-1-1111100-23333−3−3−3−3000000000000
χ922222-2-2222-2-2220000-1-1-1-11111-222-1-1-1-1111100-2−3−3−3−33333000000000000
χ102222-122-1-1-1-1-1220000222222222-1-1-1-1-1-1-1-1-1-122-100000000-1-1-1-1002-1-1000
χ112222-122-1-1-1-1-1220000222222222-1-1-1-1-1-1-1-1-1-1-2-2-100000000111100-211000
χ122222-1-2-2-1-1-1112200002222-2-2-2-2-2-1-1-1-1-1-1111100100000000−i3−i3i3i3000−i3i3000
χ132222-1-2-2-1-1-1112200002222-2-2-2-2-2-1-1-1-1-1-1111100100000000i3i3−i3−i3000i3−i3000
χ1422-2-22002-2-200-22−i2−i2i2i222-2-2000002-222-2-20000000−i2−i2i2i2−i2−i2i2i20000−i2i2000000
χ1522-2-22002-2-200-22−i2−i2i2i2-1-1113−33−302-2-1-11133−3−3000ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000−i2i2000000
χ1622-2-22002-2-200-22−i2−i2i2i2-1-111−33−3302-2-1-111−3−333000ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000−i2i2000000
χ1722-2-22002-2-200-22i2i2−i2−i222-2-2000002-222-2-20000000i2i2−i2−i2i2i2−i2−i20000i2−i2000000
χ1822-2-22002-2-200-22i2i2−i2−i2-1-1113−33−302-2-1-11133−3−3000−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000i2−i2000000
χ1922-2-22002-2-200-22i2i2−i2−i2-1-111−33−3302-2-1-111−3−333000−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000i2−i2000000
χ202-2-2222-2-2-222-2002-22-2-111-111-1-1000-111-11-11-1−i2i201-11-11-11-1−i2i2−i2i200000−i2i20
χ212-2-2222-2-2-222-2002-22-2-111-111-1-1000-111-11-11-1i2−i201-11-11-11-1i2−i2i2−i200000i2−i20
χ222-2-2222-2-2-222-200-22-22-111-111-1-1000-111-11-11-1−i2i20-11-11-11-11−i2i2−i2i200000i2−i20
χ232-2-2222-2-2-222-200-22-22-111-111-1-1000-111-11-11-1i2−i20-11-11-11-11i2−i2i2−i200000−i2i20
χ24333333333333-1-1333300000000-1-1-10000000011-1000000001111-1-1-1-1-111-1
χ25333333333333-1-1333300000000-1-1-100000000-1-1-100000000-1-1-1-1-1-1111-1-11
χ26333333333333-1-1-3-3-3-300000000-1-1-10000000011-100000000111111-1-1-1-1-11
χ27333333333333-1-1-3-3-3-300000000-1-1-100000000-1-1-100000000-1-1-1-11111111-1
χ284444-244-2-2-2-2-2440000-2-2-2-2-2-2-2-24-2-21111111100-200000000000000000000
χ294444-2-4-4-2-2-222440000-2-2-2-22222-4-2-21111-1-1-1-100200000000000000000000
χ3044-4-4-200-22200-44000044-4-400000-22-2-222000000000000000000000000000
χ3144-4-4-200-22200-440000-2-22223−2323−230-2211-1-1−3−33300000000000000000000000
χ3244-4-4-200-22200-440000-2-222−2323−23230-2211-1-133−3−300000000000000000000000
χ334-44-4400-44-40000−2i22i22i2−2i21-11-13−3−330001-11-13−3−33000ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ344-44-4400-44-40000−2i22i22i2−2i21-11-1−333−30001-11-1−333−3000ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ354-44-4400-44-40000−2i22i22i2−2i2-22-220000000-22-220000000−i2i2i2−i2−i2i2i2−i2000000000000
χ364-44-4400-44-400002i2−2i2−2i22i21-11-13−3−330001-11-13−3−33000−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ374-44-4400-44-400002i2−2i2−2i22i21-11-1−333−30001-11-1−333−3000−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ384-44-4400-44-400002i2−2i2−2i22i2-22-220000000-22-220000000i2−i2−i2i2i2−i2−i2i2000000000000
χ394-4-4444-4-4-444-4004-44-41-1-11-1-1110001-1-11-11-11000-11-11-11-11000000000000
χ404-4-4444-4-4-444-400-44-441-1-11-1-1110001-1-11-11-110001-11-11-11-1000000000000
χ414-4-444-44-4-44-440000001-1-1111-1-10001-1-111-11-10003−33−3−33−33000000000000
χ424-4-444-44-4-44-440000001-1-1111-1-10001-1-111-11-1000−33−333−33−3000000000000
χ434-4-444-44-4-44-44000000-222-2-2-222000-222-2-22-2200000000000000000000000
χ444-4-44-24-422-2-22000000-222-222-2-20001-1-11-11-11−2i22i2000000000i2−i2i2−i200000000
χ454-4-44-24-422-2-22000000-222-222-2-20001-1-11-11-112i2−2i2000000000−i2i2−i2i200000000
χ464-4-44-2-4422-22-2000000-222-2-2-2220001-1-111-11-1000000000006−6−6600000000
χ474-4-44-2-4422-22-2000000-222-2-2-2220001-1-111-11-100000000000−666−600000000
χ4866666-6-6666-6-6-2-20000000000002-2-20000000000200000000000000000000
χ496666-366-3-3-3-3-3-2-2000000000000-2110000000022100000000-1-1-1-100-211000
χ506666-366-3-3-3-3-3-2-2000000000000-21100000000-2-21000000001111002-1-1000
χ516666-3-6-6-3-3-333-2-20000000000002110000000000-100000000−i3−i3i3i3000i3−i3000
χ526666-3-6-6-3-3-333-2-20000000000002110000000000-100000000i3i3−i3−i3000−i3i3000
χ5366-6-66006-6-6002-2−3i2−3i23i23i2000000000-2200000000000000000000000i2−i2000000
χ5466-6-66006-6-6002-23i23i2−3i2−3i2000000000-2200000000000000000000000−i2i2000000
χ558-88-8-4004-44000000002-22-223−23−2323000-11-11−333−300000000000000000000000
χ568-88-8-4004-44000000002-22-2−232323−23000-11-113−3−3300000000000000000000000
χ578-88-8-4004-4400000000-44-4400000002-22-2000000000000000000000000000
χ588-8-88-48-844-4-440000002-2-22-2-222000-111-11-11-100000000000000000000000
χ598-8-88-4-8844-44-40000002-2-2222-2-2000-111-1-11-1100000000000000000000000
χ601212-12-12-600-666004-400000000000002-20000000000000000000000000000000

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