Finite Group Databasebeta

← Group #72318462

Character table — Group #72318462

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size112224444448888881616161616161616161616161616163232323232323232323232323232323232323232646464646464646464128128128128
order12222224444224444222244444444444222444444444448888884444448884488
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-111111-1-111-1-111-1-1-1-11111-1-11-1-1-1-1
χ311111111111111111111111111111111-1-11111-1-1-1-111-1-111111111-1-1-1-1111-1-1-1-1
χ411111111111111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111-1-111-1-1-1-1111111111111-1-11111-1-1-1-11-1-1-1-1-11-1-1-1-111
χ611111111111111111-1-1111-1-111-1-1-1-11111-11-1111111111-1-1-1-111-11-1-1-1-1-11-111-1-1
χ711111111111111111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-111111-1-111-1-1
χ811111111111111111-1-1111-1-111-1-1-1-111-1-1-11-11-1-1-1-111-1-1-1-1-1-111-111111-11-1-1-111
χ91111111111111-1-1-1-11111111-1-1-1-1-1-1111-11-11-111-1-1-1-11-111-1-1-1-1-1111-1-1-1111-11-1
χ101111111111111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-111-1-1111-1-1-1-1-1111-111-1-11-11-11-11
χ111111111111111-1-1-1-11111111-1-1-1-1-1-111-111-11-1-1-111-1-1-1111-1-1-1-1-11-1-111-111-11-11
χ121111111111111-1-1-1-11111111-1-1-1-1-1-111-11-1-1-1-1-1-11111-11-1-1-1-1111-1-1-1111-111-11-1
χ131111111111111-1-1-1-1-1-1111-1-1-1-11111111-11-11-111-1-1111-1111111-1-1-1-111-1-1-1-111-1
χ141111111111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-111-1-1-1-11-1-1-111-1-111-1-11111-11-1-11
χ151111111111111-1-1-1-1-1-1111-1-1-1-1111111-111-11-1-1-11111-11111111-1-111-1-1-1-1-11-1-11
χ161111111111111-1-1-1-1-1-1111-1-1-1-1111111-11-1-1-1-1-1-111-1-1-11-1-111-1-11111-1-111-1-111-1
χ172222222222222222222-2-2222222222-2-2000-20-20000000000-2-20000000000-20000
χ1822222222222222222-2-2-2-22-2-222-2-2-2-2-2-2000-20-2000000000022000000000020000
χ192222222222222-2-2-2-222-2-2222-2-2-2-2-2-2-2-20002020000000000220000000000-20000
χ202222222222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-20002020000000000-2-2000000000020000
χ2122222222222-2-222-2-20022-2002-20000-2-200020-2000022000000-2-20-200000200000
χ2222222222222-2-222-2-20022-2002-20000-2-200020-20000-2-2000000220200000-200000
χ2322222222222-2-222-2-200-2-2-2002-2000022002-22200000000-2-20000-2000002000000
χ2422222222222-2-222-2-200-2-2-2002-200002200-2-2-2200000000220000200000-2000000
χ2522222222222-2-2-2-2220022-200-220000-2-2000-202000022000000-2-20200000-200000
χ2622222222222-2-2-2-2220022-200-220000-2-2000-2020000-2-2000000220-200000200000
χ2722222222222-2-2-2-22200-2-2-200-2200002200222-200000000-2-20000200000-2000000
χ2822222222222-2-2-2-22200-2-2-200-2200002200-22-2-200000000220000-2000002000000
χ2922222-2-22-2-22220000002-2-2000022-2-22-2020000002-2000-2002-200002-2000000000
χ3022222-2-22-2-22220000002-2-2000022-2-22-20-2000000-220002002-20000-22000000000
χ3122222-2-22-2-22220000002-2-20000-2-2222-2020000002-2000-200-220000-22000000000
χ3222222-2-22-2-22220000002-2-20000-2-2222-20-2000000-22000200-2200002-2000000000
χ3322222-2-22-2-2222000000-22-2000022-2-2-222000002-20000-2000-220000002-20000000
χ3422222-2-22-2-2222000000-22-2000022-2-2-22-200000-2200002000-22000000-220000000
χ3522222-2-22-2-2222000000-22-20000-2-222-222000002-20000-20002-2000000-220000000
χ3622222-2-22-2-2222000000-22-20000-2-222-22-200000-22000020002-20000002-20000000
χ374444444-4-4-4-400004400000000-40000002-20000-222-200-220000000000000000000
χ384444444-4-4-4-400004400000000-4000000-2200002-2-22002-20000000000000000000
χ394444444-4-4-4-40000-4-4000000004000000220000-22-2200-2-20000000000000000000
χ404444444-4-4-4-40000-4-4000000004000000-2-200002-22-200220000000000000000000
χ4144444-4-44-4-44-4-40000004-4400000000-44000000000000000000000000000000000
χ4244444-4-44-4-44-4-4000000-444000000004-4000000000000000000000000000000000
χ4344444-4-4-444-40044000000000-40000000220000-2-2-2-200220000000000000000000
χ4444444-4-4-444-40044000000000-40000000-2-20000222200-2-20000000000000000000
χ4544444-4-4-444-400-4-4000000000400000002-20000-2-222002-20000000000000000000
χ4644444-4-4-444-400-4-400000000040000000-22000022-2-200-220000000000000000000
χ47444-4-400400-44-40000000000000004i−4i000020-2000002i−2i002-2002i−2i0000000000000
χ48444-4-400400-44-40000000000000004i−4i0000-20200000−2i2i00-2200−2i2i0000000000000
χ49444-4-400400-44-4000000000000000−4i4i000020-200000−2i2i002-200−2i2i0000000000000
χ50444-4-400400-44-4000000000000000−4i4i0000-202000002i−2i00-22002i−2i0000000000000
χ51444-4-400400-4-4400000000000004i−4i00000020-2000002i−2i00-2200−2i2i0000000000000
χ52444-4-400400-4-4400000000000004i−4i000000-20200000−2i2i002-2002i−2i0000000000000
χ53444-4-400400-4-440000000000000−4i4i00000020-200000−2i2i00-22002i−2i0000000000000
χ54444-4-400400-4-440000000000000−4i4i000000-202000002i−2i002-200−2i2i0000000000000
χ55888-8-800-80080000004-40004-400000000000000000000000000000000000000000
χ56888-8-800-8008000000-44000-4400000000000000000000000000000000000000000
χ5788-88-88-8000000008i−8i000000000000000000000000000000000000000000000000
χ5888-88-88-800000000−8i8i000000000000000000000000000000000000000000000000
χ5988-88-8-8800000000004-4000-4400000000000000000000000000000000000000000
χ6088-88-8-880000000000-440004-400000000000000000000000000000000000000000
χ6188-8-880008-8000000044000-4-400000000000000000000000000000000000000000
χ6288-8-880008-80000000-4-40004400000000000000000000000000000000000000000
χ6388-8-88000-880008-800000000000000000000000000000000000000000000000000
χ6488-8-88000-88000-8800000000000000000000000000000000000000000000000000
χ6532-32000000000000000000000000000000000000000000000000000000000000000

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