Finite Group Databasebeta

← Group #72340474

Character table — Group #72340474

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size112224444448888888816163232323232323232323232323232323264646464646464646464646464646464646464646464
order12222222222222222224422244444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-111-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111-111-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1
χ911-1-11-1-1-11111-1-1-1-11111-11-111-1-11-111-1-1-1-1111-11-111-1-11-11-11-111-1-111-1-1
χ1011-1-11-1-1-11111-1-1-1-11111-11-111-1-11-111-1-1-1-111-11-1111-1-11-1-11-11-1-111-1-111
χ1111-1-11-1-1-11111-1-1-1-11111-11-1-11-11-1111-1-1-1-1111-1-11-1-111-111-1-1111-1-1-1-111
χ1211-1-11-1-1-11111-1-1-1-11111-11-1-11-11-1111-1-1-1-111-111-1-1-111-11-111-1-1-11111-1-1
χ1311-1-11-1-1-11111-1-1-1-11111-1-111-11-11-1-1-111-1-1111-11-1-1-1111-11-11-1-1-111-1-111
χ1411-1-11-1-1-11111-1-1-1-11111-1-111-11-11-1-1-111-1-111-11-11-1-1111-1-11-1111-1-111-1-1
χ1511-1-11-1-1-11111-1-1-1-11111-1-11-1-111-11-1-111-1-1111-1-1111-1-1-111-1-11-1-11111-1-1
χ1611-1-11-1-1-11111-1-1-1-11111-1-11-1-111-11-1-111-1-111-111-111-1-1-11-111-111-1-1-1-111
χ17222222222222222222222002002220000-2-2-2-200000000-2-2000000000000
χ1822222222222222222222200-200-2-2-20000-2-2-2-20000000022000000000000
χ1922222222222222-2-2-2-22-2-20000000000002-22-2002200000000-2-200000000
χ2022222222222222-2-2-2-22-2-20000000000002-22-200-2-2000000002200000000
χ2122222222222222-2-2-2-22-2-2000000000000-22-222200000000-2-20000000000
χ2222222222222222-2-2-2-22-2-2000000000000-22-22-2-200000000220000000000
χ23222222-2-22-2-222-22222-2-2-2002002-2-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ24222222-2-22-2-222-22222-2-2-2002002-2-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ25222222-2-22-2-222-22222-2-2-200-200-2220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ26222222-2-22-2-222-22222-2-2-200-200-2220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2722-2-22-2222-2-22-22-2-222-2-2200200-2-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ2822-2-22-2222-2-22-22-2-222-2-2200200-2-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ2922-2-22-2222-2-22-22-2-222-2-2200-20022-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ3022-2-22-2222-2-22-22-2-222-2-2200-20022-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ3122-2-22-2-2-22222-2-222-2-22-220000000000002-2-222-200000000-220000000000
χ3222-2-22-2-2-22222-2-222-2-22-220000000000002-2-22-22000000002-20000000000
χ3322-2-22-2-2-22222-2-222-2-22-22000000000000-222-2002-200000000-2200000000
χ3422-2-22-2-2-22222-2-222-2-22-22000000000000-222-200-22000000002-200000000
χ3522-2-22-2-2-22222-2-2-2-22222-200200-22-2000022-2-200000000-22000000000000
χ3622-2-22-2-2-22222-2-2-2-22222-200-2002-22000022-2-2000000002-2000000000000
χ3744444444444-4-4-40000-40022022000-2-2-2-200000000000000000000000000
χ3844444444444-4-4-40000-400-2-20-2-2000222200000000000000000000000000
χ39444444-4-44-4-444-4-4-4-4-4-44400000000000000000000000000000000000000
χ40444444-4-44-4-4-4-440000400000000000000000000002-22-200000000000000
χ41444444-4-44-4-4-4-44000040000000000000000000000-22-2200000000000000
χ4244-4-44-4444-4-44-4444-4-4-44-400000000000000000000000000000000000000
χ4344-4-44-4444-4-4-44-40000400000000000000000000002-2-2200000000000000
χ4444-4-44-4444-4-4-44-4000040000000000000000000000-222-200000000000000
χ4544-4-44-4-4-4444-4440000-4002-202-2000-2-22200000000000000000000000000
χ4644-4-44-4-4-4444-4440000-400-220-2200022-2-200000000000000000000000000
χ4788888-88-8-88-8000000000000000000000000000000000000000000000000
χ4888888-8-88-8-88000000000000000000000000000000000000000000000000
χ49888-8-80000000004-44-4000220-2-20002-22-200000000000000000000000000
χ50888-8-80000000004-44-4000-2-2022000-22-2200000000000000000000000000
χ51888-8-8000000000-44-44000220-2-2000-22-2200000000000000000000000000
χ52888-8-8000000000-44-44000-2-20220002-22-200000000000000000000000000
χ5388-88-80000000004-4-440002-20-22000-222-200000000000000000000000000
χ5488-88-80000000004-4-44000-2202-20002-2-2200000000000000000000000000
χ5588-88-8000000000-444-40002-20-220002-2-2200000000000000000000000000
χ5688-88-8000000000-444-4000-2202-2000-222-200000000000000000000000000
χ5788-8-8888-8-8-88000000000000000000000000000000000000000000000000
χ5888-8-888-88-88-8000000000000000000000000000000000000000000000000
χ5932-32000000000000000000000000000000000000000000000000000000000

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