Finite Group Databasebeta

← Group #72319863

Character table — Group #72319863

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222444444888816161616161616161616161616161616161632323232323232323232323232323232323232323232323232646464646464128128128128
order12222224444222222222222224444444444444444444444488888888884444484488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1
χ3111111111111111111111-1-11111-1-111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111-1-11111-1-111111111111-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-111
χ511111111111111111-1-1-1-11111111111111-1-1-1-1-1-11111111111111111111-1-1-1-11-1-1-1-1
χ611111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111-1-111
χ811111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-1
χ911111111111-1-111-1-111-1-111111-111-1-111-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-111-11-1
χ1011111111111-1-111-1-111-1-111111-111-1-111-1111-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11-11
χ1111111111111-1-111-1-111-1-1-1-1111-1-1-1-1-111-1111-1-1-11111-1-111-1-111-1-111-1-1-1-1-11111-1-11
χ1211111111111-1-111-1-111-1-1-1-1111-1-1-1-1-111-1111-1-1-111-1-111-1-111-1-1-1-111111-1-111-1-111-1
χ1311111111111-1-111-1-1-1-11111111-111-1-111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-1111-1-1111-11-11
χ1411111111111-1-111-1-1-1-11111111-111-1-111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-111-11-11-1
χ1511111111111-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-11111111-1-111-1-111-1-111-1-1-111-1-11-111-1
χ1611111111111-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-11111111-1-1-11-1-11
χ1722222222222222222000022-2-22222-2-2-2-2-2000000220000000000-2-2-2-2000000000000
χ18222222222222222220000-2-2-2-222-2-2-2-2-2-2-2000000-2-200000000002222000000000000
χ192222222222222-2-2-2-200000022-2200-2-2-2-220000000022-2-200220000000000000-20000
χ202222222222222-2-2-2-200000022-2200-2-2-2-2200000000-2-22200-2-2000000000000020000
χ212222222222222-2-2-2-2000000-2-2-22002222-20000000000002200-2-2000022-2000000000
χ222222222222222-2-2-2-2000000-2-2-22002222-2000000000000-2-200220000-2-22000000000
χ2322222222222-2-222-2-2000022-2-22-22222-2-22000000-2-20000000000-2-222000000000000
χ2422222222222-2-222-2-20000-2-2-2-22-2-2-222-2-2200000022000000000022-2-2000000000000
χ2522222222222-2-2-2-22200000022-2-20022-2-2-200000000222200-2-20000000000000-20000
χ2622222222222-2-2-2-22200000022-2-20022-2-2-200000000-2-2-2-20022000000000000020000
χ2722222222222-2-2-2-222000000-2-2-2-200-2-22220000000000002200-2-20000-2-22000000000
χ2822222222222-2-2-2-222000000-2-2-2-200-2-2222000000000000-2-20022000022-2000000000
χ2922222-2-2-22-2200220000222-22-2-202-2002-200002-2-20000000000002-200000002-200000
χ3022222-2-2-22-220022000022-222-2-20-22002-200002-2-2000000000000-220000000-2200000
χ3122222-2-2-22-2200220000-2-22-22-2-202-2002-20000-2220000000000002-20000000-2200000
χ3222222-2-2-22-2200220000-2-2-222-2-20-22002-20000-222000000000000-2200000002-200000
χ3322222-2-2-22-2200220022002-2-22-202-200-2202-2-2000000000000000-22000002-20000000
χ3422222-2-2-22-220022002200-22-22-20-2200-2202-2-20000000000000002-200000-220000000
χ3522222-2-2-22-22002200-2-2002-2-22-202-200-220-222000000000000000-2200000-220000000
χ3622222-2-2-22-22002200-2-200-22-22-20-2200-220-2220000000000000002-2000002-20000000
χ374444444-4-4-4-400004-422220000000000000-22-2-22-20000000000000000000000000000
χ384444444-4-4-4-400004-4-2-2-2-200000000000002-222-220000000000000000000000000000
χ394444444-4-4-4-40000-4422-2-20000000000000-22-22-220000000000000000000000000000
χ404444444-4-4-4-40000-44-2-22200000000000002-22-22-20000000000000000000000000000
χ4144444-4-44-44-4440000222200000-40000000-2-22-2-220000000000000000000000000000
χ4244444-4-44-44-4440000-2-2-2-200000-4000000022-222-20000000000000000000000000000
χ4344444-4-44-44-4-4-4000022-2-20000040000000-2-2222-20000000000000000000000000000
χ4444444-4-44-44-4-4-40000-2-222000004000000022-2-2-220000000000000000000000000000
χ4544444-4-4-44-4400-4-4000000004-4400000-4400000000000000000000000000000000000
χ4644444-4-4-44-4400-4-400000000-444000004-400000000000000000000000000000000000
χ47444-4-40040-404-400000000220000-2-2000000000002-22i−2i002i−2i2i−2i0000002i−2i0000000000
χ48444-4-40040-404-400000000220000-2-2000000000002-2−2i2i00−2i2i−2i2i000000−2i2i0000000000
χ49444-4-40040-404-400000000-2-200002200000000000-222i−2i00−2i2i2i−2i000000−2i2i0000000000
χ50444-4-40040-404-400000000-2-200002200000000000-22−2i2i002i−2i−2i2i0000002i−2i0000000000
χ51444-4-40040-40-4400000000220000-2-200000000000-222i−2i00−2i2i−2i2i0000002i−2i0000000000
χ52444-4-40040-40-4400000000220000-2-200000000000-22−2i2i002i−2i2i−2i000000−2i2i0000000000
χ53444-4-40040-40-4400000000-2-2000022000000000002-22i−2i002i−2i−2i2i000000−2i2i0000000000
χ54444-4-40040-40-4400000000-2-2000022000000000002-2−2i2i00−2i2i2i−2i0000002i−2i0000000000
χ55888-8-800-808000000000004-40000-44000000000000000000000000000000000000000
χ56888-8-800-80800000000000-4400004-4000000000000000000000000000000000000000
χ5788-88-800080-800000000000000000000000000000000000000000004i−4i000000000000
χ5888-88-800080-80000000000000000000000000000000000000000000−4i4i000000000000
χ5988-88-8000-808008-800000000000000000000000000000000000000000000000000000
χ6088-88-8000-80800-8800000000000000000000000000000000000000000000000000000
χ6188-8-888-800000000000000000000000000000000000000000004i−4i0000000000000000
χ6288-8-888-80000000000000000000000000000000000000000000−4i4i0000000000000000
χ6388-8-88-8800000000000000000000000000000000000004-40000000000000000000000
χ6488-8-88-880000000000000000000000000000000000000-440000000000000000000000
χ6516-160000000000000004-44-4000000004-40000000000000000000000000000000000000
χ6616-160000000000000004-4-4400000000-440000000000000000000000000000000000000
χ6716-16000000000000000-444-400000000-440000000000000000000000000000000000000
χ6816-16000000000000000-44-44000000004-40000000000000000000000000000000000000

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