Finite Group Databasebeta

← Group #72227792

Character table — Group #72227792

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size1111224444448888888888161616161616161616323232323232323232323232323232323232323232323232
order1222222222222222222222444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-111-1111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-111-1111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222-2-222-2-2-2-2-22-2000000-2200000000000000000000
χ1822222222222222-2-22222-2-2-2-2-2-220000002-200000000000000000000
χ19222222222222-2-22222-2-222-2-2222000000-2-200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-222-2-22-2-20000002200000000000000000000
χ212222222-2-22-2-22-200002-2222-2-200000000000000000000002-22-20000
χ222222222-2-22-2-22-200002-2222-2-20000000000000000000000-22-220000
χ232222222-2-22-2-22-200002-2-2-2-222000000000000000000000000002i−2i2i−2i
χ242222222-2-22-2-22-200002-2-2-2-22200000000000000000000000000−2i2i−2i2i
χ252222222-2-22-2-2-220000-2222-22-2000000000000000000000000002-2-22
χ262222222-2-22-2-2-220000-2222-22-200000000000000000000000000-222-2
χ272222222-2-22-2-2-220000-22-2-22-2200000000000000000000002i−2i−2i2i0000
χ282222222-2-22-2-2-220000-22-2-22-220000000000000000000000−2i2i2i−2i0000
χ29444444-44-4-44-400004400000000-40000000000000000000000000000
χ30444444-44-4-44-40000-4-40000000040000000000000000000000000000
χ31444444-4-44-4-440044000000000-400000000000000000000000000000
χ32444444-4-44-4-4400-4-4000000000400000000000000000000000000000
χ334444-4-4-400400000000004-40000022-2-22-20000000000000000000000
χ344444-4-4-400400000000004-400000-2-222-220000000000000000000000
χ354444-4-4-40040000000000-440000022-2-2-220000000000000000000000
χ364444-4-4-40040000000000-4400000-2-2222-20000000000000000000000
χ3744-4-44-400400-4004-4000000000002i−2i2i−2i00002i−2i000000000000000000
χ3844-4-44-400400-4004-400000000000−2i2i−2i2i0000−2i2i000000000000000000
χ3944-4-44-400400-400-44000000000002i−2i2i−2i0000−2i2i000000000000000000
χ4044-4-44-400400-400-4400000000000−2i2i−2i2i00002i−2i000000000000000000
χ4144-4-4-440400-4000004-40000000002i−2i−2i2i0000002i−2i0000000000000000
χ4244-4-4-440400-4000004-4000000000−2i2i2i−2i000000−2i2i0000000000000000
χ4344-4-4-440400-400000-440000000002i−2i−2i2i000000−2i2i0000000000000000
χ4444-4-4-440400-400000-44000000000−2i2i2i−2i0000002i−2i0000000000000000
χ458888-8-8800-8000000000000000000000000000000000000000000000
χ4688-8-88-800-80080000000000000000000000000000000000000000000
χ4788-8-8-880-800800000000000000000000000000000000000000000000
χ488-88-8000000000400000-4000000000000000000000002i−2i2i−2i00000000
χ498-88-8000000000400000-400000000000000000000000−2i2i−2i2i00000000
χ508-88-8000000000-4000004000000000000000000000002-2-2200000000
χ518-88-8000000000-400000400000000000000000000000-222-200000000
χ528-8-8800000000400000-4000000000000000000002i−2i2i−2i000000000000
χ538-8-8800000000400000-400000000000000000000−2i2i−2i2i000000000000
χ548-8-8800000000-4000004000000000000000000002-2-22000000000000
χ558-8-8800000000-400000400000000000000000000-222-2000000000000

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