Finite Group Databasebeta

← Group #11864099

Character table — Group #11864099

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222444444446666888888888991212121212121212121216161818182424242424242424242436364848484872727272
order12244334466664444612121212121212122222222212121212121224424666666884461224244488
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111-1-1111111111111-1-1-1-111111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111-1-1111111111111-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-111-1-1-1-111-1-111
χ71111111-1-11111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1-1-111
χ81111111-1-11111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1
χ911-1-11111-1-1-11111-1-1-11-1-111-1-11111-111-1-111-1-11-1-1-111-11-111-1-11-11-11-11-11-11-1
χ1011-1-11111-1-1-11111-1-1-11-1-111-1-11111-111-1-111-1-11-1-1-11-111-111-1-1-111-1-11-11-11-11
χ1111-1-11111-1-1-111-1-111-11-1-111-1-1111-11-1-111-1-1111-1-1-111-1-11-1-1111-11-11-11-1-11-11
χ1211-1-11111-1-1-111-1-111-11-1-111-1-1111-11-1-111-1-1111-1-1-11-11-11-1-111-111-1-11-111-11-1
χ1311-1-1111-11-1-11111-1-1-11-1-1-1-1111111-1-1-11111-1-1-11-1-111-11-1-1-111-11-111-1-111-1-11
χ1411-1-1111-11-1-11111-1-1-11-1-1-1-1111111-1-1-11111-1-1-11-1-11-111-1-1-1111-1-11-111-1-111-1
χ1511-1-1111-11-1-111-1-111-11-1-1-1-111111-1111-1-1-1-111-11-1-111-1-1111-1-1-11-111-1-11-111-1
χ1611-1-1111-11-1-111-1-111-11-1-1-1-111111-1111-1-1-1-111-11-1-11-11-1111-1-11-1-11-111-11-1-11
χ1722222222222220000222222222-2-2000000000022-2-2-20000000000-2-200000000
χ182222222-2-2222200002222-2-2-2-22-2-20000000000-2-2-2-2-200000000002200000000
χ19222-2-22200222200002-2-2-20000-2-2-2002-22-2000000-22200002-22-2000000000000
χ20222-2-22200222200002-2-2-20000-2-2-200-22-22000000-2220000-22-22000000000000
χ21222-2-22200222222222-2-2-20000-222-2-200002222002-2-200-2-20000000000000000
χ22222-2-222002222-2-2-2-22-2-2-20000-222220000-2-2-2-2002-2-200220000000000000000
χ2322-22-22200-2-2220000-2-2220000-2-2-2002-2-220000002-2200002-2-22000000000000
χ2422-22-22200-2-2220000-2-2220000-2-2-200-222-20000002-220000-222-2000000000000
χ2522-22-22200-2-22222-2-2-2-2220000-222-22000022-2-200-22-200-220000000000000000
χ2622-22-22200-2-222-2-222-2-2220000-2222-20000-2-22200-22-2002-20000000000000000
χ2722-2-22222-2-2-2220000-22-2-222-2-22-2-200000000002-222-20000000000-2200000000
χ2822-2-2222-22-2-2220000-22-2-2-2-2222-2-20000000000-2222-200000000002-200000000
χ29444441-244-2-21-200001-21-2-2-2-2-2100000000000011000220000002200-1-1-1-10000
χ30444441-244-2-21-200001-21-2-2-2-2-2100000000000011000-2-2000000-2-20011110000
χ31444441-2-4-4-2-21-200001-21-222221000000000000-1-100022000000-2-200-1-1110000
χ32444441-2-4-4-2-21-200001-21-222221000000000000-1-1000-2-2000000220011-1-10000
χ3344444-214411-212222-21-211111-200222222-1-1-1-1-2-200000-1-1-1-1-1-1000000000000
χ3444444-214411-21-2-2-2-2-21-211111-200-2-2-2-2-2-21111-2-200000111111000000000000
χ3544444-21-4-411-212222-21-21-1-1-1-1-20022-2-2-2-2-1-1-1-12200000-1-11111000000000000
χ3644444-21-4-411-21-2-2-2-2-21-21-1-1-1-1-200-2-222221111220000011-1-1-1-1000000000000
χ37444-4-4-210011-212222-2-12-13-33-3200-2-22-22-2-1-1-1-1000000011-11-11000000000000
χ38444-4-4-210011-212222-2-12-1-33-33200-2-2-22-22-1-1-1-10000000111-11-1000000000000
χ39444-4-4-210011-21-2-2-2-2-2-12-13-33-320022-22-2211110000000-1-11-11-1000000000000
χ40444-4-4-210011-21-2-2-2-2-2-12-1-33-33200222-22-211110000000-1-1-11-11000000000000
χ4144-44-4-2100-1-1-2122-2-22-1-213-3-33200-222-2-22-1-11100000001-1-111-1000000000000
χ4244-44-4-2100-1-1-2122-2-22-1-21-333-3200-22-222-2-1-11100000001-11-1-11000000000000
χ4344-44-4-2100-1-1-21-2-2222-1-213-3-332002-2-222-211-1-10000000-111-1-11000000000000
χ4444-44-4-2100-1-1-21-2-2222-1-21-333-32002-22-2-2211-1-10000000-11-111-1000000000000
χ4544-4-441-24-4221-20000-1-2-12-2-22210000000000001-10002-20000002-200-11-110000
χ4644-4-441-24-4221-20000-1-2-12-2-22210000000000001-1000-22000000-22001-11-10000
χ4744-4-441-2-44221-20000-1-2-1222-2-21000000000000-110002-2000000-2200-111-10000
χ4844-4-441-2-44221-20000-1-2-1222-2-21000000000000-11000-220000002-2001-1-110000
χ4944-4-44-214-4-1-1-2122-2-2212-111-1-1-2002-222-2-2-1-111-2200000-11-1-111000000000000
χ5044-4-44-214-4-1-1-21-2-222212-111-1-1-200-22-2-22211-1-1-22000001-111-1-1000000000000
χ5144-4-44-21-44-1-1-2122-2-2212-1-1-111-2002-2-2-222-1-1112-200000-1111-1-1000000000000
χ5244-4-44-21-44-1-1-21-2-222212-1-1-111-200-2222-2-211-1-12-2000001-1-1-111000000000000
χ534-4000440000-4-4004i−4i0000000004-4000000004i−4i0000000000000000000000000
χ544-4000440000-4-400−4i4i0000000004-400000000−4i4i0000000000000000000000000
χ554-4000440000-4-44i−4i00000000000-440000004i−4i000000000000000000000000000
χ564-4000440000-4-4−4i4i00000000000-44000000−4i4i000000000000000000000000000
χ57888-8-82-400-4-42-4000024-240000-20000000000000000000000000000000000000
χ5888-88-82-400442-40000-242-40000-20000000000000000000000000000000000000
χ598-8000-42006-64-24i−4i4i−4i00000000000000000−2i2i−2i2i0000000000000000000000000
χ608-8000-42006-64-2−4i4i−4i4i000000000000000002i−2i2i−2i0000000000000000000000000
χ618-8000-4200-664-24i−4i−4i4i00000000000000000−2i2i2i−2i0000000000000000000000000
χ628-8000-4200-664-2−4i4i4i−4i000000000000000002i−2i−2i2i0000000000000000000000000
χ6316-160004-80000-4800000000000000000000000000000000000000000000000000

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