Finite Group Databasebeta

← Group #72307521

Character table — Group #72307521

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222228888888888888816161616161616161616161632323232323232323232323232323232323232323232
order122222444444444488888888222244444444244444888888881616161616161616
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111
χ91111111111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-111-11-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-11-1-11-11-111-1-111-1-111-1-111
χ111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1111-1111-1-11-1-1-1-11111-1-1-1-111
χ121111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11-11-1-111111-1-1-1-11111-1-1
χ131111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-11-11-11-1-1-1-111-1-11111-1-1
χ141111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-11-1-1-11-111111-1-111-1-1-1-111
χ151111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11-111-111-1-1-111-1-1-1-111-1-111
χ161111111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11-1-111-111-1-11111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2-2-2000000002222000000-2-200000000000000
χ182222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000002200000000000000
χ19222222222222-2-2-2-222-2-222-2-22222000000000000-2-20000000000000000
χ20222222222222-2-2-2-222-2-222-2-2-2-2-2-2000000000000220000000000000000
χ21222222222222-2-2-2-2-2-222-2-222000022-2-200000-220000000000000000000
χ22222222222222-2-2-2-2-2-222-2-2220000-2-222000002-20000000000000000000
χ232222222222-2-222-2-222-2-2-2-2220000222200000-2-20000000000000000000
χ242222222222-2-222-2-222-2-2-2-2220000-2-2-2-200000220000000000000000000
χ252222222222-2-222-2-2-2-22222-2-222-2-2000000000000-220000000000000000
χ262222222222-2-222-2-2-2-22222-2-2-2-2220000000000002-20000000000000000
χ272222222222-2-2-2-2222222-2-2-2-20000000022-2-2000000-2200000000000000
χ282222222222-2-2-2-2222222-2-2-2-200000000-2-2220000002-200000000000000
χ29444444-4-4-4-400004-40000000000000000004-40000000000000000000000
χ30444444-4-4-4-400004-4000000000000000000-440000000000000000000000
χ31444444-4-4-4-40000-4400000000000000004-4000000000000000000000000
χ32444444-4-4-4-40000-440000000000000000-44000000000000000000000000
χ334444-4-44-44-4000000004i−4i0000000000000000200-200002i−2i000000000000
χ344444-4-44-44-4000000004i−4i0000000000000000-20020000−2i2i000000000000
χ354444-4-44-44-400000000−4i4i0000000000000000200-20000−2i2i000000000000
χ364444-4-44-44-400000000−4i4i0000000000000000-200200002i−2i000000000000
χ374444-4-4-44-440000004-400000000000000000000000000002i−2i2i−2i00000000
χ384444-4-4-44-440000004-40000000000000000000000000000−2i2i−2i2i00000000
χ394444-4-4-44-44000000-4400000000000000000000000000002i−2i−2i2i00000000
χ404444-4-4-44-44000000-440000000000000000000000000000−2i2i2i−2i00000000
χ4144-4-44-444-4-400000000004-400004-4000000000000000000000000000000
χ4244-4-44-444-4-400000000004-40000-44000000000000000000000000000000
χ4344-4-44-444-4-40000000000-44004-400000000000000000000000000000000
χ4444-4-44-444-4-40000000000-4400-4400000000000000000000000000000000
χ4544-4-44-4-4-4444-40000000000000000000000000000000000000000002i−2i2i−2i
χ4644-4-44-4-4-4444-4000000000000000000000000000000000000000000−2i2i−2i2i
χ4744-4-44-4-4-444-440000000000000000000000000000000000000000002i−2i−2i2i
χ4844-4-44-4-4-444-44000000000000000000000000000000000000000000−2i2i2i−2i
χ4944-4-4-444-4-44004-40000000000000000000000000000000000002-22-20000
χ5044-4-4-444-4-44004-4000000000000000000000000000000000000-22-220000
χ5144-4-4-444-4-4400-440000000000000000000000000000000000002-2-220000
χ5244-4-4-444-4-4400-44000000000000000000000000000000000000-222-20000
χ5344-4-4-44-444-40000000000004-40000004-400000000000000000000000000
χ5444-4-4-44-444-40000000000004-4000000-4400000000000000000000000000
χ5544-4-4-44-444-4000000000000-4400004-40000000000000000000000000000
χ5644-4-4-44-444-4000000000000-440000-440000000000000000000000000000
χ5716-1616-16000000000000000000000000000000000000000000000000000000
χ5816-16-1616000000000000000000000000000000000000000000000000000000

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