Finite Group Databasebeta

← Group #104304

Character table — Group #104304

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222224444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ9222222222222-2-2-2-2-2-2-2-220000000000002i2i−2i−2i0000000000
χ10222222222222-2-2-2-2-2-2-2-22000000000000−2i−2i2i2i0000000000
χ112222222222-2-22-2-2-2-2222-20000000000000000000022-2-200
χ122222222222-2-22-2-2-2-2222-200000000000000000000-2-22200
χ132222222222-2-2-22222-2-2-2-2002200-2-2000000000000000000
χ142222222222-2-2-22222-2-2-2-200-2-20022000000000000000000
χ1522222222-2-222222-2-2-2-22-20000000000000000000000002-2
χ1622222222-2-222222-2-2-2-22-2000000000000000000000000-22
χ1722222222-2-222-2-2-22222-2-20000000022-2-200000000000000
χ1822222222-2-222-2-2-22222-2-200000000-2-22200000000000000
χ1922222222-2-2-2-22-2-222-2-2222200-2-200000000000000000000
χ2022222222-2-2-2-22-2-222-2-222-2-2002200000000000000000000
χ2122222222-2-2-2-2-222-2-222-22000000000000000022-2-2000000
χ2222222222-2-2-2-2-222-2-222-220000000000000000-2-222000000
χ23444-4-44-4-4004-4000000000000000000022−2200000000000000
χ24444-4-44-4-4004-40000000000000000000−222200000000000000
χ25444-4-44-4-400-440000000000000000022−220000000000000000
χ26444-4-44-4-400-4400000000000000000−22220000000000000000
χ2744-444-4-4-400000004-4000000000000000000002-22-2000000
χ2844-444-4-4-400000004-400000000000000000000-22-22000000
χ2944-444-4-4-40000000-44000000000000000000002-2-22000000
χ3044-444-4-4-40000000-4400000000000000000000-222-2000000
χ3144-4-4-4-44400004000000-400000000000002i−2i2i−2i0000000000
χ3244-4-4-4-44400004000000-40000000000000−2i2i−2i2i0000000000
χ3344-4-4-4-4440000-4000000400000000000002-2-220000000000
χ3444-4-4-4-4440000-400000040000000000000-222-20000000000
χ354-444-4-4-440000000004i−4i00002i−2i002-2000000000000000000
χ364-444-4-4-440000000004i−4i0000−2i2i00-22000000000000000000
χ374-444-4-4-44000000000−4i4i00002i−2i00-22000000000000000000
χ384-444-4-4-44000000000−4i4i0000−2i2i002-2000000000000000000
χ394-4-44-444-4000004-40000002i−2i002i−2i00000000000000000000
χ404-4-44-444-4000004-4000000−2i2i00−2i2i00000000000000000000
χ414-4-44-444-400000-440000002i−2i00−2i2i00000000000000000000
χ424-4-44-444-400000-44000000−2i2i002i−2i00000000000000000000
χ434-4-4-444-444-400000000000000000000000000000000022−2200
χ444-4-4-444-444-4000000000000000000000000000000000−222200
χ454-4-4-444-44-44000000000000000000000000000000022−220000
χ464-4-4-444-44-440000000000000000000000000000000−22220000
χ478-88-88-88-8000000000000000000000000000000000000000

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