Finite Group Databasebeta

← Group #72339049

Character table — Group #72339049

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222444444888816161616161616161616161616161616161632323232323232323232323232323232323232323232323232646464646464128128128128
order12222224444222222222244444444888822444444444888888888888884444448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1
χ411111111111111111111111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-111
χ81111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-1111111-1-1
χ911111111111-1-1-1-1111-1-11-1-1-1-111111111-11111-1-11-1-1-1-1-111-1-1-1-111-1-111-1111-1-11-11-1
χ1011111111111-1-1-1-1111-1-11-1-1-1-111111111-1-1-111-1-11-1111111-1-111-1-1-1-1-1-11-111-1-1-11-11
χ1111111111111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-11111-1-11-111-1-1-1-111-1-1-1-111-1-111-1-1111-1-11
χ1211111111111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-1-111-1-11111111111-1-1-1-111-111-1
χ1311111111111-1-1-1-11-1-1111-1-1-1-111111111-111-1-111-11-1-1-1-111-1-1-1-111-1-111-11-1-111-11-11
χ1411111111111-1-1-1-11-1-1111-1-1-1-111111111-1-1-1-1-111-11111111-1-111-1-1-1-1-1-11-1-1-1111-11-1
χ1511111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-111-1-111-1111-1-1-1-111-1-1-1-111-1-11111-1-1-111-1
χ1611111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-1-11111111111-1-111-1-11-1-11
χ1722222222222222220000222-2-2-2-2-2-22222-2000000000000-2-2-2-2000022000000000000
χ1822222222222222220000222-2-2-2-2-2-2-2-2-2-2-200000000000022220000-2-2000000000000
χ192222222222222-2-2-20000-22-22222-2-20000-22200000000-2-20000220000000-200000000
χ202222222222222-2-2-20000-22-22222-2-20000-2-2-200000000220000-2-20000000200000000
χ212222222222222-2-2-20000-22-2-2-2-2-22200002000000002200000000-2-20022-2000000000
χ222222222222222-2-2-20000-22-2-2-2-2-2220000200000000-2-2000000002200-2-22000000000
χ2322222222222-2-222-20000-2-2222-2-2220000-20000000022000000002200-2-2-2000000000
χ2422222222222-2-222-20000-2-2222-2-2220000-200000000-2-200000000-2-200222000000000
χ2522222222222-2-222-20000-2-22-2-222-2-2000022200000000220000-2-20000000-200000000
χ2622222222222-2-222-20000-2-22-2-222-2-200002-2-200000000-2-20000220000000200000000
χ2722222222222-2-2-2-2200002-2-222-2-2-2-222222000000000000-2-2220000-2-2000000000000
χ2822222222222-2-2-2-2200002-2-222-2-2-2-2-2-2-2-2200000000000022-2-2000022000000000000
χ292222222-2-2-2-2000020022-200002-22-22i2i−2i−2i000002-20-200002i−2i000000000000002i−2i0000
χ302222222-2-2-2-2000020022-200002-22-2−2i−2i2i2i000002-20-20000−2i2i00000000000000−2i2i0000
χ312222222-2-2-2-20000200-2-2-200002-22-22i2i−2i−2i00000-220200002i−2i00000000000000−2i2i0000
χ322222222-2-2-2-20000200-2-2-200002-22-2−2i−2i2i2i00000-22020000−2i2i000000000000002i−2i0000
χ332222222-2-2-2-2000022200-20000-22-222i2i−2i−2i0002-200-200000−2i2i0000000000002i−2i000000
χ342222222-2-2-2-2000022200-20000-22-22−2i−2i2i2i0002-200-2000002i−2i000000000000−2i2i000000
χ352222222-2-2-2-200002-2-200-20000-22-222i2i−2i−2i000-2200200000−2i2i000000000000−2i2i000000
χ362222222-2-2-2-200002-2-200-20000-22-22−2i−2i2i2i000-22002000002i−2i0000000000002i−2i000000
χ374444444-4-4-4-40000-40000400004-4-44000000000000000000000000000000000000000
χ384444444-4-4-4-40000-4000040000-444-4000000000000000000000000000000000000000
χ3944444-4-44-4-4400440222200-40000000000000-22-22-2-200000000000000000000000000
χ4044444-4-44-4-4400440-2-2-2-200-400000000000002-22-22200000000000000000000000000
χ4144444-4-44-4-4400-4-4022-2-20040000000000000-222-2-2200000000000000000000000000
χ4244444-4-44-4-4400-4-40-2-22200400000000000002-2-222-200000000000000000000000000
χ4344444-4-4-444-44400022220-400000000000000-2-2-2-22200000000000000000000000000
χ4444444-4-4-444-444000-2-2-2-20-4000000000000002222-2-200000000000000000000000000
χ4544444-4-4-444-4-4-400022-2-20400000000000000-2-2222-200000000000000000000000000
χ4644444-4-4-444-4-4-4000-2-222040000000000000022-2-2-2200000000000000000000000000
χ47444-4-400400-4004-4000000000000002i−2i2i−2i02-20000002i−2i2-20000002i−2i2i−2i000000000000
χ48444-4-400400-4004-4000000000000002i−2i2i−2i0-22000000−2i2i-22000000−2i2i2i−2i000000000000
χ49444-4-400400-4004-400000000000000−2i2i−2i2i02-2000000−2i2i2-2000000−2i2i−2i2i000000000000
χ50444-4-400400-4004-400000000000000−2i2i−2i2i0-220000002i−2i-220000002i−2i−2i2i000000000000
χ51444-4-400400-400-44000000000000002i−2i2i−2i02-2000000−2i2i-220000002i−2i−2i2i000000000000
χ52444-4-400400-400-44000000000000002i−2i2i−2i0-220000002i−2i2-2000000−2i2i−2i2i000000000000
χ53444-4-400400-400-4400000000000000−2i2i−2i2i02-20000002i−2i-22000000−2i2i2i−2i000000000000
χ54444-4-400400-400-4400000000000000−2i2i−2i2i0-22000000−2i2i2-20000002i−2i2i−2i000000000000
χ55888-8-800-80080000000000000000004-4-4400000000000000000000000000000000000
χ56888-8-800-8008000000000000000000-444-400000000000000000000000000000000000
χ5788-88-88-800000000000000000000000000000000000000000000000004i−4i0000000000
χ5888-88-88-80000000000000000000000000000000000000000000000000−4i4i0000000000
χ5988-88-8-8800000000000000000000000000000000000000000004-40000000000000000
χ6088-88-8-880000000000000000000000000000000000000000000-440000000000000000
χ6188-8-880008-8000000000000000000000000000000000000004-4000000000000000000
χ6288-8-880008-800000000000000000000000000000000000000-44000000000000000000
χ6388-8-88000-8808-80000000000000000000000000000000000000000000000000000000
χ6488-8-88000-880-880000000000000000000000000000000000000000000000000000000
χ6516-16000000000000004-44-40004-40000000000000000000000000000000000000000000
χ6616-16000000000000004-4-44000-440000000000000000000000000000000000000000000
χ6716-1600000000000000-444-4000-440000000000000000000000000000000000000000000
χ6816-1600000000000000-44-440004-40000000000000000000000000000000000000000000

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