Finite Group Databasebeta

← Group #11889322

Character table — Group #11889322

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11114444444444488881212121216161616181818182424242424242424242424242424363636363636484848487272
order12222233466666666121222446661244442444446666121212124488881212121288
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1111111111-1-111-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111-1-11111111111-111-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1
χ41111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111-111-111111111-1-111111-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-11-1-11
χ611111-111-111111111-1-111-1-11-1-1-1-1-1111-11-1-111111-1-111-11-1-111-1-1-111-1
χ711111-111-111111111-1-1-1-1111-1-1-1-1-111-11-111-1-1-1-1-111-1-1-11-1-111111-11-1
χ811111-111-111111111-1-1-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-111-1111-1-111-11-11
χ91111-1111-1111111-1-1-1-11111-111-11111-1-11-11-111-1-111-1-1-1-111111-1-11-1-1
χ101111-1111-1111111-1-1-1-111-1-1-111-11111-11-1-11111-1-1-1-111-1-1-1-1-1-11-11-111
χ111111-1111-1111111-1-1-1-1-1-111-111-111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111
χ121111-1111-1111111-1-1-1-1-1-1-1-1-111-1111111-11-11-1-111-1-111-1-11111-111-1-1-1
χ131111-1-1111111111-1-1111111-1-1-11-1-111-1-1-11-1111-1-111111-111-1-1-11-1-11-1
χ141111-1-1111111111-1-11111-1-1-1-1-11-1-111-1111-1-111-1-1-1-1-1-11-1-1-111-1111-11
χ151111-1-1111111111-1-111-1-111-1-1-11-1-1111-1-1-111-1-11111111-1-1-1111-1-1-1-11
χ161111-1-1111111111-1-111-1-1-1-1-1-1-11-1-111111-11-1-1-111-1-1-1-11-111-1-11-1111-1
χ17222222222222222222200002222-2-2-2-200000000000000-2-20000000000
χ1822222-222-222222222-2-200002-2-2-222-2-2000000000000002-20000000000
χ192222-2222-2222222-2-2-2-20000-222-2-2-2-2-200000000000000220000000000
χ202222-2-2222222222-2-2220000-2-2-2222-2-200000000000000-220000000000
χ212-2-2200220-22-22-2-200002-22i−2i0000002-20000002-2002i−2i00002i−2i00000000
χ222-2-2200220-22-22-2-200002-2−2i2i0000002-20000002-200−2i2i0000−2i2i00000000
χ232-2-2200220-22-22-2-20000-222i−2i0000002-2000000-22002i−2i0000−2i2i00000000
χ242-2-2200220-22-22-2-20000-22−2i2i0000002-2000000-2200−2i2i00002i−2i00000000
χ254444441-24-211-2-21-2-211002211-2-200000220020000-1-1-1-100000000-1-100
χ264444441-24-211-2-21-2-21100-2-211-2-200000-2-200-200001111000000001100
χ27444444-2141-2-211-211-2-22200-2-2110000200220-1-1-1-10000000000-1-10000
χ28444444-2141-2-211-211-2-2-2-200-2-2110000-200-2-2011110000000000110000
χ2944444-41-2-4-211-2-21-2-2-1-100221-122000002-200-20000-1-11100000000-1100
χ3044444-41-2-4-211-2-21-2-2-1-100-2-21-12200000-22002000011-1-1000000001-100
χ3144444-4-21-41-2-211-211222200-22-1-10000200-2-20-1-1-1-10000000000110000
χ3244444-4-21-41-2-211-21122-2-200-22-1-10000-20022011110000000000-1-10000
χ334444-441-2-4-211-2-2122-1-10022-11-2200000-2200-20000-1-111000000001-100
χ344444-441-2-4-211-2-2122-1-100-2-2-11-22000002-2002000011-1-100000000-1100
χ354444-44-21-41-2-211-2-1-12222002-21-10000-200-220-1-1110000000000-110000
χ364444-44-21-41-2-211-2-1-122-2-2002-21-100002002-2011-1-100000000001-10000
χ374444-4-41-24-211-2-2122110022-1-12-200000-2-20020000-1-1-1-1000000001100
χ384444-4-41-24-211-2-21221100-2-2-1-12-2000002200-20000111100000000-1-100
χ394444-4-4-2141-2-211-2-1-1-2-2220022-110000-2002-20-1-11100000000001-10000
χ404444-4-4-2141-2-211-2-1-1-2-2-2-20022-110000200-22011-1-10000000000-110000
χ4144-4-4004404-4-4-4-440000000000004i−4i0000000000000000000000000000
χ4244-4-4004404-4-4-4-44000000000000−4i4i0000000000000000000000000000
χ434-44-400440-4-44-44-40000000000000000000000000000000000−2i22i2000000
χ444-44-400440-4-44-44-400000000000000000000000000000000002i2−2i2000000
χ454-4-4400440-44-44-4-400000000000000-4400000000000000000000000000
χ4688-8-8002-40-4-2-2442006-600000000000000000000000000000000000000
χ4788-8-8002-40-4-2-244200-6600000000000000000000000000000000000000
χ4888-8-800-420244-2-2-46-60000000000000000000000000000000000000000
χ4988-8-800-420244-2-2-4-660000000000000000000000000000000000000000
χ508-88-8002-404-224-4-2000000000000000000000000000023−23000000000000
χ518-88-8002-404-224-4-20000000000000000000000000000−2323000000000000
χ528-88-800-420-24-4-224000000000000000000000000−2i32i30000000000000000
χ538-88-800-420-24-4-2240000000000000000000000002i3−2i30000000000000000
χ548-8-88002-4042-2-44-20000004i−4i000000000000000000−2i2i00000000000000
χ558-8-88002-4042-2-44-2000000−4i4i0000000000000000002i−2i00000000000000
χ568-8-8800-420-2-442-2400004-40000000000000000-22000000000000000000
χ578-8-8800-420-2-442-240000-4400000000000000002-2000000000000000000

Here i is the imaginary unit (i² = −1).