Finite Group Databasebeta

← Group #142575

Character table — Group #142575

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222224444888888888888161616161616161616161616323232323232
order12222222224444444444444444244444444444888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-1-111-11111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-111111-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1111111-1-111-1-1111-1-1-1-111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-111
χ711111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1111111-1-1
χ9222222222222-2-22-2-200002222-200000000-2-200000000
χ10222222222222-2-22-2-20000-2-2-2-2-2000000002200000000
χ112222222222-2-222-2-2222220000-200000-2-200000000000
χ122222222222-2-222-2-22-2-2-2-20000-2000002200000000000
χ132222222222-2-2-2-2-22-20000000020220000000-2-2000000
χ142222222222-2-2-2-2-22-20000000020-2-2000000022000000
χ152222-2-222-2-22222-22-200000000-20000000000002-20000
χ162222-2-222-2-22222-22-200000000-2000000000000-220000
χ172222-2-222-2-222-2-2-2-2200000000200000000000000002-2
χ182222-2-222-2-222-2-2-2-220000000020000000000000000-22
χ192222-2-222-2-2-2-2222-2-2000000002200-2-20020000000000
χ202222-2-222-2-2-2-2222-2-2000000002-2002200-20000000000
χ212222-2-222-2-2-2-2-2-222200000000-2000000000000002i−2i00
χ222222-2-222-2-2-2-2-2-222200000000-200000000000000−2i2i00
χ2344444-4-4-44-400000000000000002002-200-20000000000
χ2444444-4-4-44-40000000000000000-200-220020000000000
χ254444-44-4-4-440000000000000000200-2200-20000000000
χ264444-44-4-4-440000000000000000-2002-20020000000000
χ2744-4-40-40004000000022-2-22i2i−2i−2i000000000002i−2i000000
χ2844-4-40-40004000000022-2-2−2i−2i2i2i00000000000−2i2i000000
χ2944-4-40-400040000000-2-2222i2i−2i−2i00000000000−2i2i000000
χ3044-4-40-400040000000-2-222−2i−2i2i2i000000000002i−2i000000
χ314-44-4-40004000000002i−2i2i−2i2-22-2002i−2i000000000000000
χ324-44-4-40004000000002i−2i2i−2i-22-2200−2i2i000000000000000
χ334-44-4-4000400000000−2i2i−2i2i2-22-200−2i2i000000000000000
χ344-44-4-4000400000000−2i2i−2i2i-22-22002i−2i000000000000000
χ354-4-44004-400004-400000002i−2i−2i2i0000000002i−2i00000000
χ364-4-44004-400004-40000000−2i2i2i−2i000000000−2i2i00000000
χ374-4-44004-40000-4400000002i−2i−2i2i000000000−2i2i00000000
χ384-4-44004-40000-440000000−2i2i2i−2i0000000002i−2i00000000
χ394-4-4400-44004i−4i000002i−2i−2i2i00000000002-200000000000
χ404-4-4400-44004i−4i00000−2i2i2i−2i0000000000-2200000000000
χ414-4-4400-4400−4i4i000002i−2i−2i2i0000000000-2200000000000
χ424-4-4400-4400−4i4i00000−2i2i2i−2i00000000002-200000000000
χ4388-8-808000-80000000000000000000000000000000000
χ448-88-88000-800000000000000000000000000000000000

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