Finite Group Databasebeta

← Group #72341209

Character table — Group #72341209

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1122244888888161616161616161616161616161632323232323232323232323232323264646464
order1222222222244222444444444444444444444444444488
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111-111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111-111-11111-1-1-1-111-11111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111-111-111-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-11-11
χ511111111111111-111-111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-11-11
χ611111111111111-111-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-111111-11-1
χ711111111111111-1-11-1-1111111111-1-111-1-1-1-1111111-1-1-1-1
χ811111111111111-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ91111111111111-111-111-1-111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111
χ101111111111111-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ111111111111111-11-1-11-1-1-111111111-1-1-1-1-111-1-1-1-111-111-1
χ121111111111111-11-1-11-1-1-1-1-11111-11-111-1-111-1-111-1-11-1-11
χ131111111111111-1-11-1-11-1-11111111-11-1-111-1-1-1-1-1-1111-1-11
χ141111111111111-1-11-1-11-1-1-1-11111-1-111111-1-1-1-111-1-1-111-1
χ151111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111111111-1-111-1-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ1722222222-2-22-2-2200200-2-20022-2-20000000002-200000000
χ1822222222-2-22-2-2200200-2-200-2-222000000000-2200000000
χ1922222222-2-22-2-2-200-200220022-2-2000000000-2200000000
χ2022222222-2-22-2-2-200-2002200-2-2220000000002-200000000
χ212222222-22-2-22-2202-2022-200000000-200002-20000000000
χ222222222-22-2-22-220-2-20-22-20000000020000-220000000000
χ232222222-22-2-22-2-202202-2200000000-20000-220000000000
χ242222222-22-2-22-2-20-220-2-2200000000200002-20000000000
χ252222222-2-22-2-22220-220-220000000-20002-2000000000000
χ262222222-2-22-2-222-20-2-20-2200000002000-22000000000000
χ272222222-2-22-2-22-2202202-20000000-2000-22000000000000
χ282222222-2-22-2-22-2-202-202-2000000020002-2000000000000
χ2922222-2-2222-2-2-200000000002i−2i2i−2i0002-20000002i−2i000000
χ3022222-2-2222-2-2-200000000002i−2i2i−2i000-22000000−2i2i000000
χ3122222-2-2222-2-2-20000000000−2i2i−2i2i0002-2000000−2i2i000000
χ3222222-2-2222-2-2-20000000000−2i2i−2i2i000-220000002i−2i000000
χ3322222-2-22-2-2-22200000000222i−2i−2i2i-20000000000002i−2i0000
χ3422222-2-22-2-2-2220000000022−2i2i2i−2i-2000000000000−2i2i0000
χ3522222-2-22-2-2-22200000000-2-22i−2i−2i2i2000000000000−2i2i0000
χ3622222-2-22-2-2-22200000000-2-2−2i2i2i−2i20000000000002i−2i0000
χ3744444-4-4-44-44-44000000000000000000000000000000000
χ3844444-4-4-4-4444-4000000000000000000000000000000000
χ39888-8-80000000000400-4000000000000000000000000000
χ40888-8-80000000000-4004000000000000000000000000000
χ4188-88-8000000000400-40000000000000000000000000000
χ4288-88-8000000000-40040000000000000000000000000000
χ4388-8-888-8000000000000000000000000000000000000000
χ4488-8-88-88000000000000000000000000000000000000000
χ4516-1600000000000000000004i−4i00000000000000000000000
χ4616-160000000000000000000−4i4i00000000000000000000000

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