Finite Group Databasebeta

← Group #72341200

Character table — Group #72341200

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1124448888881616323232323232323232323232323232323232323232323264646464646464128128128128128128
order12222222222224224444444444444444444444444444488888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ3111111111111111-11-11111111111111111111-1-1-11111-1-1-1-1-1-1
χ4111111111111111-11-11111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111
χ511111111111111-11-111-1-11111111111-1-1-1-111111-1-1-1-111-1-1-1-1
χ611111111111111-11-111-1-11-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-111
χ711111111111111-1-1-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-11-1-11-1-1-1-11-1-1-1-1111111-1-1-111-1-11111-1-1
χ9111111-1-1-1-1111111-11-11-1-111-1-1-111-1-111-1-111-11-11-11-11-11-11-1
χ10111111-1-1-1-1111111-11-11-1-1-1-111-1-1-111-1-11111-11-1-111-1-111-1-11
χ11111111-1-1-1-111111-1-1-1-11-1-111-1-1-111-1-111-1-1111-111-11-1-11-11-11
χ12111111-1-1-1-111111-1-1-1-11-1-1-1-111-1-1-111-1-111111-11-111-11-1-111-1
χ13111111-1-1-1-11111-1111-1-11-111-1-1-111-1-1-1-11111-11-1-11-111-1-11-11
χ14111111-1-1-1-11111-1111-1-11-1-1-111-1-1-11111-1-111-11-11-1-11-11-111-1
χ15111111-1-1-1-11111-1-11-1-1-11-111-1-1-111-1-1-1-111111-11-11-11-111-11-1
χ16111111-1-1-1-11111-1-11-1-1-11-1-1-111-1-1-11111-1-1111-111-1-111-11-1-11
χ17222222222222220000200-22222-2-2-2-2-20000-2-20000000000000
χ18222222222222220000200-2-2-2-2-2-222220000-2-20000000000000
χ19222222222222-2-20000-200-20000200002222-22000-2-200000000
χ20222222222222-2-20000-200-2000020000-2-2-2-2-220002200000000
χ21222222222222-2-22020-22220000-2000000002-200000-2-2000000
χ22222222222222-2-2-20-20-2-2-220000-2000000002-20000022000000
χ23222222-2-2-2-222220000-200222-2-22-2-2220000-2-20000000000000
χ24222222-2-2-2-222220000-2002-2-222222-2-20000-2-20000000000000
χ25222222-2-2-2-222-2-2000020020000-2000022-2-2-22000-2200000000
χ26222222-2-2-2-222-2-2000020020000-20000-2-222-220002-200000000
χ27222222-2-2-2-222-2-220-2022-2-200002000000002-200000-22000000
χ28222222-2-2-2-222-2-2-20202-22-200002000000002-2000002-2000000
χ2944444444-4-4-4-400020200000000000000000002-2-20000000000
χ3044444444-4-4-4-4000-20-20000000000000000000-2220000000000
χ31444444-4-444-4-40002020000000000000000000-2-220000000000
χ32444444-4-444-4-4000-20-2000000000000000000022-20000000000
χ334444-4-44-400000020200-2-202i−2i2i−2i000002i−2i2i−2i000000000000000
χ344444-4-44-400000020200-2-20−2i2i−2i2i00000−2i2i−2i2i000000000000000
χ354444-4-44-4000000-20-2002202i−2i2i−2i00000−2i2i−2i2i000000000000000
χ364444-4-44-4000000-20-200220−2i2i−2i2i000002i−2i2i−2i000000000000000
χ374444-4-4-4400000020-200-2202i−2i−2i2i000002i−2i−2i2i000000000000000
χ384444-4-4-4400000020-200-220−2i2i2i−2i00000−2i2i2i−2i000000000000000
χ394444-4-4-44000000-202002-202i−2i−2i2i00000−2i2i2i−2i000000000000000
χ404444-4-4-44000000-202002-20−2i2i2i−2i000002i−2i−2i2i000000000000000
χ41444-44-400004-44-40000000000000004i−4i0000000000000000000
χ42444-44-400004-44-4000000000000000−4i4i0000000000000000000
χ43444-44-400004-4-4400000000000004i−4i000000000000000000000
χ44444-44-400004-4-440000000000000−4i4i000000000000000000000
χ45888-88-80000-8800000000000000000000000000000000000000
χ46888-8-88008-80000000000000000000000000000000000000000
χ47888-8-8800-880000000000000000000000000000000000000000
χ481616-1600000000000040-400000000000000000000000000000000
χ491616-16000000000000-40400000000000000000000000000000000
χ5032-32000000000000000000000000000000000000000000000000

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