Finite Group Databasebeta

← Group #72286121

Character table — Group #72286121

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11244488881616161616323232323232323232323232323232323232323264646464128128128128128128128128
order12222222442224422244444444444444444444488888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111-11-1111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111-11-1111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111-11-111-1-11111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i
χ61111111111111111-11-111-1-11111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii
χ71111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ81111111111111111-1-1-1-11-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1
χ9111111111111111-111-11-11-111-1-111-1-1-1-1-1-1-1-111i−ii−ii−ii−i
χ10111111111111111-111-11-11-111-1-111-1-1-1-1-1-1-1-111−ii−ii−ii−ii
χ11111111111111111-11-1-1-1-11-1-1-1-1-111-1-1111111-1-11-11-1-11-11
χ12111111111111111-11-1-1-1-11-1-1-1-1-111-1-1111111-1-1-11-111-11-1
χ13111111111111111-1-1111-1-1111-1-1-1-1111111-1-1-1-11-1-111-1-11
χ14111111111111111-1-1111-1-1111-1-1-1-1111111-1-1-1-1-111-1-111-1
χ15111111111111111-1-1-11-1-1-11-1-1-1-1-1-111-1-1-1-11111i−i−ii−iii−i
χ16111111111111111-1-1-11-1-1-11-1-1-1-1-1-111-1-1-1-11111−iii−ii−i−ii
χ1722222222222-2-2-2-200222002-2-20000-2-222-2-2000000000000
χ1822222222222-2-2-2-2002-2200-2-2-2000022-2-222000000000000
χ1922222222222-2-2-2-200-22-2002220000-2-2-2-222000000000000
χ2022222222222-2-2-2-200-2-2-200-22200002222-2-2000000000000
χ2122222222-2-2-22-22-2020000200000-2-2002-22-22-20000000000
χ2222222222-2-2-22-22-2020000200000-2-200-22-22-220000000000
χ2322222222-2-2-22-22-20-20000-20000022002-22-2-220000000000
χ2422222222-2-2-22-22-20-20000-2000002200-22-222-20000000000
χ2522222222-2-2-2-22-222000020000-2-200002-2-22002-200000000
χ2622222222-2-2-2-22-222000020000-2-20000-222-200-2200000000
χ2722222222-2-2-2-22-22-20000-200002200002-2-2200-2200000000
χ2822222222-2-2-2-22-22-20000-20000220000-222-2002-200000000
χ29444444-4-444-400000004000-4000000000000000000000000
χ30444444-4-444-40000000-40004000000000000000000000000
χ31444444-4-4-4-440000000000000000004-40000000000000000
χ32444444-4-4-4-44000000000000000000-440000000000000000
χ33444-4-444-4000040-400000000004-400000000000000000000
χ34444-4-444-4000040-40000000000-4400000000000000000000
χ35444-4-444-40000-40440000-400000000000000000000000000
χ36444-4-444-40000-404-40000400000000000000000000000000
χ37444-4-44-4400040-40040000-40000000000000000000000000
χ38444-4-44-4400040-400-4000040000000000000000000000000
χ39444-4-44-44000-40400000000000004-4000000000000000000
χ40444-4-44-44000-4040000000000000-44000000000000000000
χ418888-8-8000000000000000004-40000000000000000000000
χ428888-8-800000000000000000-440000000000000000000000
χ43888-88-80000000000040-4000000000000000000000000000
χ44888-88-800000000000-404000000000000000000000000000
χ451616-16000008-80000000000000000000000000000000000000
χ461616-1600000-880000000000000000000000000000000000000
χ4732-32000000000000000000000000000000000000000000000

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