Finite Group Databasebeta

← Group #246132

Character table — Group #246132

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222224444442244444444444444424444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111111111-1-1-1-1
χ51111111111111111111111-1-1111-1-11111111111-1-11-1-1-11-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-1-1-1111111111-1-111-1-11-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-11111
χ9111111111111-1-1-1-11-1-11111111-111-1-11111-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-11111111-111-1-1-1-1-1-11111-1-1111-1-1-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-1-111111111-1-1-1-11-1-1-1-1-111-1-111-1-11111-1-1
χ12111111111111-1-1-1-11-1-111111-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-111-1-1-1-111
χ13111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1111-1-11-1111-1-1-1-111-1-111
χ14111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111111-1-11-11-1-11111-1-111-1-1
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-11-11111-1-1-11111-1-1-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-11111-11-11111-111-1-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-20022-200-2-20000000000-200020000000000000
χ182222222222222222-2-2-2-2-2-200-2-2-2002200000000002000-20000000000000
χ19222222222222-2-2-2-2-222-2-2-20022200220000000000-2000-20000000000000
χ20222222222222-2-2-2-2-222-2-2-200-2-2200-2-20000000000200020000000000000
χ2122222222-2-2-2-222-2-2222-2-222200-2-2-200000000000-2000200000000000000
χ2222222222-2-2-2-222-2-2222-2-22-2-200-222000000000002000-200000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-200002000000000000200-2200-2000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-200002000000000000-2002-2002000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2222002-2-2000000000002000-200000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-22-2-20022200000000000-2000200000000000000
χ2722222222-2-2-2-2-2-222-22222-20000-20000000000002002-200-2000000000000
χ2822222222-2-2-2-2-2-222-22222-20000-2000000000000-200-22002000000000000
χ292-22-2-2-2222-22-20000-2002-222-20002-200000022-2-20000000000000000002-2
χ302-22-2-2-2222-22-20000-2002-222-20002-2000000-2-222000000000000000000-22
χ312-22-2-2-2222-22-20000-2002-22-22000-2200000022-2-2000000000000000000-22
χ322-22-2-2-2222-22-20000-2002-22-22000-22000000-2-2220000000000000000002-2
χ332-22-2-2-222-22-220000-200-2222-2000-220022-2-2000000000000000000002-200
χ342-22-2-2-222-22-220000-200-2222-2000-2200-2-22200000000000000000000-2200
χ352-22-2-2-222-22-220000-200-222-220002-20022-2-200000000000000000000-2200
χ362-22-2-2-222-22-220000-200-222-220002-200-2-222000000000000000000002-200
χ374444-4-4-4-40000004-400000000000000000000000000000002-22-200000000
χ384444-4-4-4-40000004-40000000000000000000000000000000-22-2200000000
χ394444-4-4-4-4000000-4400000000000000000000000000000002-2-2200000000
χ404444-4-4-4-4000000-440000000000000000000000000000000-222-200000000
χ4144-4-44-4-4444-4-40000000000004i−4i000000000000000000000000000000000
χ4244-4-44-4-4444-4-4000000000000−4i4i000000000000000000000000000000000
χ4344-4-44-4-44-4-444000000000000000004-40000000000000000000000000000
χ4444-4-44-4-44-4-44400000000000000000-440000000000000000000000000000
χ4544-4-4-444-400004-4000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4644-4-4-444-400004-400000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4744-4-4-444-40000-44000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4844-4-4-444-40000-4400000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ494-44-4-4-4444-44-40000400-44-40000000000000000000000000000000000000
χ504-44-4-4-444-44-4400004004-4-40000000000000000000000000000000000000
χ514-4-444-44-40000000004-40000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ524-4-444-44-40000000004-4000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ534-4-444-44-4000000000-440000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ544-4-444-44-4000000000-44000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ554-4-44-44-444-4-440000000000000000000000000000000000000000022−220000
χ564-4-44-44-444-4-4400000000000000000000000000000000000000000−22220000
χ574-4-44-44-44-444-400000000000000000000000000000000000000022−22000000
χ584-4-44-44-44-444-4000000000000000000000000000000000000000−2222000000
χ598-88-888-8-8000000000000000000000000000000000000000000000000000

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