Finite Group Databasebeta

← Group #72319891

Character table — Group #72319891

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11222444444888816161616161616161616161632323232323232323232323232323232323232323232323232323232646464646464128128128128
order12222224444222222222244444424444444444444444488888888884444484488
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111-1-11111-1-1-1-1-1-111111111111111111-1-1-1-11-1-1-1-1
χ4111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11111-1-1111111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ611111111111111111-1-11111-1-1111111-1-1111111-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-111
χ711111111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111-1-111
χ811111111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-1
χ911111111111-1-111-1-111111-111111-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-111-11-1
χ1011111111111-1-111-1-111111-111111-1-1-1-1-1111-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11-11
χ1111111111111-1-111-1-111111-11111-11-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1111-1-1111-11-11
χ1211111111111-1-111-1-111111-11111-11-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-111-11-11-1
χ1311111111111-1-111-1-1-1-1111-1-1-1111-1-1-111111-1-1-111-1-111-1-111-1-111-1-1-1-1-11111-1-11
χ1411111111111-1-111-1-1-1-1111-1-1-1111-1-1-111111-1-1-1-1-111-1-111-1-1-1-111111-1-111-1-111-1
χ1511111111111-1-111-1-1-1-1111-1-1-111-11-1-111-1-1-111111-1-111-1-111-1-111-1-1-111-1-11-111-1
χ1611111111111-1-111-1-1-1-1111-1-1-111-11-1-111-1-1-1111-1-111-1-111-1-1-1-11111111-1-1-11-1-11
χ172222222222222222222-2-22222-2-200-2-2220000000000000000-2-2-2-2000000000000
χ1822222222222222222-2-2-2-222-2-2-2-200-2-2-2-200000000000000002222000000000000
χ192222222222222-2-2-2-20022-2200-2-2002-20000000022-2-200220000000000000-20000
χ202222222222222-2-2-2-20022-2200-2-2002-200000000-2-22200-2-2000000000000020000
χ212222222222222-2-2-2-200-2-2-22002200-220000000000002200-2-2000022-2000000000
χ222222222222222-2-2-2-200-2-2-22002200-22000000000000-2-200220000-2-22000000000
χ2322222222222-2-222-2-222-2-22-222-2-20022-2-20000000000000000-2-222000000000000
χ2422222222222-2-222-2-2-2-2-2-22-2-2-2-2-2002222000000000000000022-2-2000000000000
χ2522222222222-2-2-2-2220022-2-200-2-200-2200000000222200-2-20000000000000-20000
χ2622222222222-2-2-2-2220022-2-200-2-200-2200000000-2-2-2-20022000000000000020000
χ2722222222222-2-2-2-22200-2-2-2-20022002-20000000000002200-2-20000-2-22000000000
χ2822222222222-2-2-2-22200-2-2-2-20022002-2000000000000-2-20022000022-2000000000
χ2922222-2-2-22-220022002-22-2-202-22-20200000002-2-200000000002-200000002-200000
χ3022222-2-2-22-220022002-22-2-202-22-20-20000000-22200000000002-20000000-2200000
χ3122222-2-2-22-220022002-2-22-202-2-222000002-2-20000000000000-22000002-20000000
χ3222222-2-2-22-220022002-2-22-202-2-22-200000-2220000000000000-2200000-220000000
χ3322222-2-2-22-22002200-222-2-20-222-20200000002-2-20000000000-220000000-2200000
χ3422222-2-2-22-22002200-222-2-20-222-20-20000000-2220000000000-2200000002-200000
χ3522222-2-2-22-22002200-22-22-20-22-222000002-2-200000000000002-200000-220000000
χ3622222-2-2-22-22002200-22-22-20-22-22-200000-22200000000000002-2000002-20000000
χ374444444-4-4-4-400004-40000000000220000-22-2-22-200000000000000000000000000
χ384444444-4-4-4-400004-40000000000-2-200002-222-2200000000000000000000000000
χ394444444-4-4-4-40000-4400000000002-20000-22-22-2200000000000000000000000000
χ404444444-4-4-4-40000-440000000000-2200002-22-22-200000000000000000000000000
χ4144444-4-44-44-444000000000-40000220000-2-22-2-2200000000000000000000000000
χ4244444-4-44-44-444000000000-40000-2-2000022-222-200000000000000000000000000
χ4344444-4-44-44-4-4-4000000000400002-20000-2-2222-200000000000000000000000000
χ4444444-4-44-44-4-4-400000000040000-22000022-2-2-2200000000000000000000000000
χ4544444-4-4-44-4400-4-400004-44000-4400000000000000000000000000000000000000
χ4644444-4-4-44-4400-4-40000-4440004-400000000000000000000000000000000000000
χ47444-4-40040-404-40000220000-2-20000002-20000002i−2i002i−2i2i−2i0000002i−2i0000000000
χ48444-4-40040-404-40000220000-2-20000002-2000000−2i2i00−2i2i−2i2i000000−2i2i0000000000
χ49444-4-40040-404-40000-2-2000022000000-220000002i−2i00−2i2i2i−2i000000−2i2i0000000000
χ50444-4-40040-404-40000-2-2000022000000-22000000−2i2i002i−2i−2i2i0000002i−2i0000000000
χ51444-4-40040-40-440000220000-2-2000000-220000002i−2i00−2i2i−2i2i0000002i−2i0000000000
χ52444-4-40040-40-440000220000-2-2000000-22000000−2i2i002i−2i2i−2i000000−2i2i0000000000
χ53444-4-40040-40-440000-2-20000220000002-20000002i−2i002i−2i−2i2i000000−2i2i0000000000
χ54444-4-40040-40-440000-2-20000220000002-2000000−2i2i00−2i2i2i−2i0000002i−2i0000000000
χ55888-8-800-80800000004-40000-440000000000000000000000000000000000000000
χ56888-8-800-8080000000-4400004-40000000000000000000000000000000000000000
χ5788-88-800080-800000000000000000000000000000000000000004i−4i000000000000
χ5888-88-800080-80000000000000000000000000000000000000000−4i4i000000000000
χ5988-88-8000-808008-800000000000000000000000000000000000000000000000000
χ6088-88-8000-80800-8800000000000000000000000000000000000000000000000000
χ6188-8-888-800000000000000000000000000000000000000004i−4i0000000000000000
χ6288-8-888-80000000000000000000000000000000000000000−4i4i0000000000000000
χ6388-8-88-8800000000000000000000000000000000004-40000000000000000000000
χ6488-8-88-880000000000000000000000000000000000-440000000000000000000000
χ6532-32000000000000000000000000000000000000000000000000000000000000000

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