Finite Group Databasebeta

← Group #72317196

Character table — Group #72317196

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11222444488888161616161616161616161616161632323232323232646464646464646464646464646464646464646464646464
order12222222222222222224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111-1-1111-1-1111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ6111111111111111-1-1111-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ7111111111111111-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ8111111111111111-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ911111111111111-11-1-1-1-11-11111-1-111-11-111-1-11-111-1-1ii−i−ii−ii−iii−i−ii−ii−i
χ1011111111111111-11-1-1-1-11-11111-1-111-11-111-1-11-111-1-1−i−iii−ii−ii−i−iii−ii−ii
χ1111111111111111-11-1-1-1-11-1-1-1-1-1-1-111-11-1-1-1111-1-1-111ii−i−i−ii−iiii−i−i−ii−ii
χ1211111111111111-11-1-1-1-11-1-1-1-1-1-1-111-11-1-1-1111-1-1-111−i−iiii−ii−i−i−iiii−ii−i
χ1311111111111111-1-11-1-1-1-111111-1-111-1-1111-1-1-11-1-111ii−i−ii−i−ii−i−iiii−i−ii
χ1411111111111111-1-11-1-1-1-111111-1-111-1-1111-1-1-11-1-111−i−iii−iii−iii−i−i−iii−i
χ1511111111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-11-1-111-1111-1-1ii−i−i−iii−i−i−iii−iii−i
χ1611111111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-11-1-111-1111-1-1−i−iiii−i−iiii−i−ii−i−ii
χ172222222222222222-22-222-200002-2-2-2-22-20000-2200000000000000000000
χ18222222222222222-222-22-2200002-2-2-2-2-2200002-200000000000000000000
χ1922222222222222-222-22-2220000-22-2-22220000-2-200000000000000000000
χ2022222222222222-2-2-2-22-2-2-20000-22-2-22-2-200002200000000000000000000
χ212222222222-2-2-2-220022-2000000-222-2-2000000000000000022000000-2-200
χ222222222222-2-2-2-220022-2000000-222-2-20000000000000000-2-20000002200
χ232222222222-2-2-2-22002-2-2000000-2-2-2220000000000000000002i−2i000000−2i2i
χ242222222222-2-2-2-22002-2-2000000-2-2-222000000000000000000−2i2i0000002i−2i
χ252222222222-2-2-2-2-200-22200000022-22-200000000000000000022000000-2-2
χ262222222222-2-2-2-2-200-22200000022-22-2000000000000000000-2-200000022
χ272222222222-2-2-2-2-200-2-220000002-22-2200000000000000002i−2i000000−2i2i00
χ282222222222-2-2-2-2-200-2-220000002-22-220000000000000000−2i2i0000002i−2i00
χ29444444-4-44-400000000400022220-400000-2-22-20000000000000000000000
χ30444444-4-44-4000000004000-2-2-2-20-40000022-220000000000000000000000
χ31444444-4-44-400000000-400022220400000-2-2-220000000000000000000000
χ32444444-4-44-400000000-4000-2-2-2-20400000222-20000000000000000000000
χ3344444-444-4-44-44-4004000040000000000-400000000000000000000000000
χ3444444-444-4-44-44-400-40000-40000000000400000000000000000000000000
χ3544444-444-4-4-44-4404000040000000000-4000000000000000000000000000
χ3644444-444-4-4-44-440-40000-400000000004000000000000000000000000000
χ37444-4-404-400040-4040000-402i2i−2i−2i00000002i−2i00002i−2i000000000000000000
χ38444-4-404-400040-4040000-40−2i−2i2i2i0000000−2i2i0000−2i2i000000000000000000
χ39444-4-404-400040-40-40000402i2i−2i−2i00000002i−2i0000−2i2i000000000000000000
χ40444-4-404-400040-40-4000040−2i−2i2i2i0000000−2i2i00002i−2i000000000000000000
χ41444-4-40-440040-400040000-42i2i−2i−2i0000000−2i2i0000002i−2i0000000000000000
χ42444-4-40-440040-400040000-4−2i−2i2i2i00000002i−2i000000−2i2i0000000000000000
χ43444-4-40-440040-4000-4000042i2i−2i−2i0000000−2i2i000000−2i2i0000000000000000
χ44444-4-40-440040-4000-400004−2i−2i2i2i00000002i−2i0000002i−2i0000000000000000
χ4588888-8-8-8-880000000000000000000000000000000000000000000000000
χ46888-8-808-8000-808000000000000000000000000000000000000000000000
χ47888-8-80-8800-8080000000000000000000000000000000000000000000000
χ4888-88-8000000000000004000000-40000000000000000000000002i−2i2i−2i0000
χ4988-88-8000000000000004000000-4000000000000000000000000−2i2i−2i2i0000
χ5088-88-800000000000000-400000040000000000000000000000002-2-220000
χ5188-88-800000000000000-40000004000000000000000000000000-222-20000
χ5288-8-88000000000400-400000000000000000000000002i−2i2i−2i000000000000
χ5388-8-88000000000400-40000000000000000000000000−2i2i−2i2i000000000000
χ5488-8-88000000000-400400000000000000000000000002-2-22000000000000
χ5588-8-88000000000-40040000000000000000000000000-222-2000000000000
χ5616-16000800-800000000000004i−4i4i−4i000000000000000000000000000000000
χ5716-16000800-80000000000000−4i4i−4i4i000000000000000000000000000000000
χ5816-16000-800800000000000004-4-44000000000000000000000000000000000
χ5916-16000-80080000000000000-444-4000000000000000000000000000000000

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