Finite Group Databasebeta

← Group #102913

Character table — Group #102913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111111111111144444444444488888888888888888888888816161616161616161616161616161616
order12222222222222224444444444448888888888888888888888882222444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ92222222222222222222-2-2-2-2-2-22-2-200000000000000000000000000000000002200-2-2
χ102222222222222222222-2-2-2-2-2-22-2-20000000000000000000000000000000000-2-20022
χ112222222222222222-2-2-2222-2-2-2-22-2000000000000000000000000000000002200-2-200
χ122222222222222222-2-2-2222-2-2-2-22-200000000000000000000000000000000-2-2002200
χ132222222222222222-2-2-2-2-2-2222-2-22000000000000000000000000000022-2-200000000
χ142222222222222222-2-2-2-2-2-2222-2-220000000000000000000000000000-2-22200000000
χ152222222-2-2-2-2-2-2-22-20002-2-2000020i2i2i2i2−i2−i2−i2−i200000000i2i2i2i2−i2−i2−i2−i20000000000002-200
χ162222222-2-2-2-2-2-2-22-20002-2-2000020i2i2i2i2−i2−i2−i2−i200000000−i2−i2−i2−i2i2i2i2i2000000000000-2200
χ172222222-2-2-2-2-2-2-22-20002-2-2000020−i2−i2−i2−i2i2i2i2i200000000i2i2i2i2−i2−i2−i2−i2000000000000-2200
χ182222222-2-2-2-2-2-2-22-20002-2-2000020−i2−i2−i2−i2i2i2i2i200000000−i2−i2−i2−i2i2i2i2i20000000000002-200
χ192222-2-2-22222-2-2-2-2-22-2-200000020000000000i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000002-20000
χ202222-2-2-22222-2-2-2-2-22-2-200000020000000000i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000-220000
χ212222-2-2-22222-2-2-2-2-22-2-200000020000000000−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i20000000000-220000
χ222222-2-2-22222-2-2-2-2-22-2-200000020000000000−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i200000000002-20000
χ2322-2-222-22-2-222-2-2-2200000022-200-222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000002i−2i00000000
χ2422-2-222-22-2-222-2-2-2200000022-200-222−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000−2i2i00000000
χ2522-2-222-22-2-222-2-2-2200000022-200-2−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000000000−2i2i00000000
χ2622-2-222-22-2-222-2-2-2200000022-200-2−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000002i−2i00000000
χ272-22-22-22-22-22-22-2-220000002-2200-22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000002i−2i0000000000
χ282-22-22-22-22-22-22-2-220000002-2200-22−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000−2i2i0000000000
χ292-22-22-22-22-22-22-2-220000002-2200-2−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000−2i2i0000000000
χ302-22-22-22-22-22-22-2-220000002-2200-2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000002i−2i0000000000
χ312-2-222-2-222-2-222-22-200022-20000-20i2−i2−i2i2−i2i2i2−i2000000002−22−22−22−2000000002i−2i000000
χ322-2-222-2-222-2-222-22-200022-20000-20i2−i2−i2i2−i2i2i2−i200000000−22−22−22−2200000000−2i2i000000
χ332-2-222-2-222-2-222-22-200022-20000-20−i2i2i2−i2i2−i2−i2i2000000002−22−22−22−200000000−2i2i000000
χ342-2-222-2-222-2-222-22-200022-20000-20−i2i2i2−i2i2−i2−i2i200000000−22−22−22−22000000002i−2i000000
χ352-2-222-2-2-2-222-2-222222-22-22-222-2-2-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ362-2-222-2-2-2-222-2-222222-22-22-222-2-2-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ372-2-222-2-2-2-222-2-222222-2-22-22-2-2-222000000002-2-222-2-22000000000000000000000000
χ382-2-222-2-2-2-222-2-222222-2-22-22-2-2-22200000000-222-2-222-2000000000000000000000000
χ392-2-222-2-2-2-222-2-2222-2-222-222-2-22-222-2-222-2-2200000000000000000000000000000000
χ402-2-222-2-2-2-222-2-2222-2-222-222-2-22-22-222-2-222-200000000000000000000000000000000
χ412-2-222-2-2-2-222-2-2222-2-22-22-2-22222-200000000000000000000000022-2-2000000000000
χ422-2-222-2-2-2-222-2-2222-2-22-22-2-22222-2000000000000000000000000-2-222000000000000
χ432-2-22-222-2-22222-2-2-22-22000000-20000000000i2−i2−i2i2−i2i2i2−i22−2−22−222−2000000000000002i−2i
χ442-2-22-222-2-22222-2-2-22-22000000-20000000000i2−i2−i2i2−i2i2i2−i2−222−22−2−2200000000000000−2i2i
χ452-2-22-222-2-22222-2-2-22-22000000-20000000000−i2i2i2−i2i2−i2−i2i22−2−22−222−200000000000000−2i2i
χ462-2-22-222-2-22222-2-2-22-22000000-20000000000−i2i2i2−i2i2−i2−i2i2−222−22−2−22000000000000002i−2i
χ474444444-4-4-4-4-4-4-44-4000-4440000-400000000000000000000000000000000000000000
χ484444-4-4-44444-4-4-4-4-4-444000000-4000000000000000000000000000000000000000000
χ494444-4-4-4-4-4-4-4444-44000000000000000000000000000022-2-2-2-2220000000000000000
χ504444-4-4-4-4-4-4-4444-440000000000000000000000000000-2-22222-2-20000000000000000
χ5144-4-444-44-4-444-4-4-44000000-4-440040000000000000000000000000000000000000000
χ5244-4-444-4-444-4-444-4-40000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ5344-4-444-4-444-4-444-4-4000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ5444-4-4-4-444-4-44-4444-40000000000000000000022-2-2-2-222000000000000000000000000
χ5544-4-4-4-444-4-44-4444-400000000000000000000-2-22222-2-2000000000000000000000000
χ5644-4-4-4-44-444-44-4-4440000000000000000000000000000000000002-22-2000000000000
χ5744-4-4-4-44-444-44-4-444000000000000000000000000000000000000-22-22000000000000
χ584-44-44-444-44-44-44-4-40000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ594-44-44-444-44-44-44-4-4000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ604-44-44-44-44-44-44-4-44000000-44-40040000000000000000000000000000000000000000
χ614-44-4-44-44-44-4-44-4440000000000000000000000000000000000002-2-22000000000000
χ624-44-4-44-44-44-4-44-444000000000000000000000000000000000000-222-2000000000000
χ634-44-4-44-4-44-444-444-4000000000000000000002-22-2-22-22000000000000000000000000
χ644-44-4-44-4-44-444-444-400000000000000000000-22-222-22-2000000000000000000000000
χ654-4-444-4-444-4-444-44-4000-4-440000400000000000000000000000000000000000000000
χ664-4-44-44444-4-4-4-44-4400000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ674-4-44-44444-4-4-4-44-440000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ684-4-44-444-4-44444-4-4-4-44-40000004000000000000000000000000000000000000000000

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