Finite Group Databasebeta

← Group #72237757

Character table — Group #72237757

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size112224444448888881616161616161616161616161616161616161616163232323232323232323232323232323232646464646464646464128128128128
order12222222222222222222222444444444444444244444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111
χ51111111111111111111-1-1-1-111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ71111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-111
χ81111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1111111-1-1
χ911111111111-1-1-1-111-1-111-1-11-1-11111-1-1-1-11111111-11-1-11-1-1-11111-1-11-1-11-111-1-11-11-1
χ1011111111111-1-1-1-111-1-111-1-11-1-11111-1-1-1-11111-1-11-11-1-11-11111-1-111-11-1-1111-1-1-11-11
χ1111111111111-1-1-1-111-1-111-1-11-1-1-1-1-1-111111111111-11-1-11-1-1-1-1-1-1-111-1111-1-1-1111-1-11
χ1211111111111-1-1-1-111-1-111-1-11-1-1-1-1-1-111111111-1-11-11-1-11-111-1-111-1-11-11-11-1-111-111-1
χ1311111111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1111111-11-11-1-11-1-11111-1-11-1-11-1-1-111-11-11
χ1411111111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-11-11-1-111111-1-111-11-1-11-1-1111-11-1
χ1511111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111111111-11-11-1-11-1-1-1-1-1-111-1111-111-1-1-111-1
χ1611111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-111111111-1-1-11-11-1-1111-1-111-1-11-11-1111-1-11-1-11
χ1722222222222222222-2-2000022222222222-2-2-2-2000000-20000-2-2000000-20000000000
χ1822222222222222222-2-20000222-2-2-2-2-2-2-2-2-2-2-2-2000000-200002200000020000000000
χ192222222222222-2-2-2-2220000-22-20000000022-2-2220000-20022000000000-2-200000000
χ202222222222222-2-2-2-2220000-22-20000000022-2-2-2-20000-200-2-20000000002200000000
χ212222222222222-2-2-2-2-2-20000-22-200000000-2-22200000020000002222-2-200000000000
χ222222222222222-2-2-2-2-2-20000-22-200000000-2-2220000002000000-2-2-2-22200000000000
χ2322222222222-2-222-2-2220000-2-2200000000-2-222000000-200000022-2-2-2200000000000
χ2422222222222-2-222-2-2220000-2-2200000000-2-222000000-2000000-2-2222-200000000000
χ2522222222222-2-222-2-2-2-20000-2-220000000022-2-2220000200-2-2000000000-2200000000
χ2622222222222-2-222-2-2-2-20000-2-220000000022-2-2-2-20000200220000000002-200000000
χ2722222222222-2-2-2-2222200002-2-22222-2-2-2-2-2-2-2-200000020000-2-200000020000000000
χ2822222222222-2-2-2-2222200002-2-2-2-2-2-22222-2-2-2-20000002000022000000-20000000000
χ2922222-2-2-222-2000022000022-20022-2-200002-22-2000-20-2002002-2000000000002-20000
χ3022222-2-2-222-2000022000022-200-2-22200002-22-2000-20-200200-2200000000000-220000
χ3122222-2-2-222-20000220000-2-2-20022-2-200002-22-200020200-2002-200000000000-220000
χ3222222-2-2-222-20000220000-2-2-200-2-22200002-22-200020200-200-22000000000002-20000
χ3322222-2-2-222-2000022002200-20022-2-20000-22-2200-20-2002000-220000000002-2000000
χ3422222-2-2-222-2000022002200-200-2-2220000-22-2200-20-20020002-2000000000-22000000
χ3522222-2-2-222-200002200-2-200-20022-2-20000-22-220020200-2000-22000000000-22000000
χ3622222-2-2-222-200002200-2-200-200-2-2220000-22-220020200-20002-20000000002-2000000
χ37444444-4-4-4-4400440000222200-400000000000000-2-2220-2-2000000000000000000000
χ38444444-4-4-4-4400440000-2-2-2-200-40000000000000022-2-2022000000000000000000000
χ39444444-4-4-4-4400-4-4000022-2-200400000000000000-222-20-22000000000000000000000
χ40444444-4-4-4-4400-4-40000-2-222004000000000000002-2-2202-2000000000000000000000
χ4144444-444-4-4-44400000022220-400000000000000022-2-20-2-2000000000000000000000
χ4244444-444-4-4-444000000-2-2-2-20-4000000000000000-2-222022000000000000000000000
χ4344444-444-4-4-4-4-400000022-2-2040000000000000002-2-220-22000000000000000000000
χ4444444-444-4-4-4-4-4000000-2-22204000000000000000-222-202-2000000000000000000000
χ4544444-4-4-444-40000-4-4000000400000000004-4-44000000000000000000000000000000
χ4644444-4-4-444-40000-4-400000040000000000-444-4000000000000000000000000000000
χ47444-4-404-40004-400000000000002i−2i2i−2i2i2i−2i−2i00002-200000002-2002i−2i2i−2i0000000000000
χ48444-4-404-40004-400000000000002i−2i2i−2i2i2i−2i−2i0000-220000000-2200−2i2i−2i2i0000000000000
χ49444-4-404-40004-40000000000000−2i2i−2i2i−2i−2i2i2i00002-200000002-200−2i2i−2i2i0000000000000
χ50444-4-404-40004-40000000000000−2i2i−2i2i−2i−2i2i2i0000-220000000-22002i−2i2i−2i0000000000000
χ51444-4-404-4000-4400000000000002i−2i2i−2i−2i−2i2i2i00002-20000000-22002i−2i−2i2i0000000000000
χ52444-4-404-4000-4400000000000002i−2i2i−2i−2i−2i2i2i0000-2200000002-200−2i2i2i−2i0000000000000
χ53444-4-404-4000-440000000000000−2i2i−2i2i2i2i−2i−2i00002-20000000-2200−2i2i2i−2i0000000000000
χ54444-4-404-4000-440000000000000−2i2i−2i2i2i2i−2i−2i0000-2200000002-2002i−2i−2i2i0000000000000
χ55888-8-80-880000000000000000004i−4i−4i4i00000000000000000000000000000000000000
χ56888-8-80-88000000000000000000−4i4i4i−4i00000000000000000000000000000000000000
χ5788-88-880000-800000000000000000004i−4i4i−4i0000000000000000000000000000000000
χ5888-88-880000-80000000000000000000−4i4i−4i4i0000000000000000000000000000000000
χ5988-88-8-800008008-800000000000000000000000000000000000000000000000000000
χ6088-88-8-80000800-8800000000000000000000000000000000000000000000000000000
χ6188-8-880008-8000000000000000000004-4-440000000000000000000000000000000000
χ6288-8-880008-800000000000000000000-444-40000000000000000000000000000000000
χ6388-8-88000-88000008-8000000000000000000000000000000000000000000000000000
χ6488-8-88000-8800000-88000000000000000000000000000000000000000000000000000
χ6516-160000000000000004-44-44-4000000000000000000000000000000000000000000000
χ6616-160000000000000004-4-44-44000000000000000000000000000000000000000000000
χ6716-16000000000000000-444-4-44000000000000000000000000000000000000000000000
χ6816-16000000000000000-44-444-4000000000000000000000000000000000000000000000

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