Finite Group Databasebeta

← Group #306935

Character table — Group #306935

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-1
χ71111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-111111-1-111-1-111111111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1111111-1-111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111111-111-1-111-1-1-1-111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ17222222222-22-22-22-2-22222-20000-2-20022000000220000-2-20000-200000000000000
χ18222222222-22-22-22-2-22222-20000-2-200-2-2000000-2-20000220000200000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-20000220022000000-2-20000220000-200000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-200002200-2-2000000220000-2-20000200000000000000
χ2122222222-22-22-22-22-20000-2222200220022-2-2-2-20000000000000-20000000000000
χ2222222222-22-22-22-22-20000-2222200-2-200-2-222-2-2000000000000020000000000000
χ2322222222-22-22-22-22-20000-2-2-2-2-2002200-2-222220000000000000-20000000000000
χ2422222222-22-22-22-22-20000-2-2-2-2-200-2-20022-2-222000000000000020000000000000
χ252-222-2-2-222-2-222-2-22-20000200000000002i−2i2i−2i000022-2-2000000002i−2i00000000000
χ262-222-2-2-222-2-222-2-22-20000200000000002i−2i2i−2i0000-2-22200000000−2i2i00000000000
χ272-222-2-2-222-2-222-2-22-2000020000000000−2i2i−2i2i000022-2-200000000−2i2i00000000000
χ282-222-2-2-222-2-222-2-22-2000020000000000−2i2i−2i2i0000-2-222000000002i−2i00000000000
χ292-222-2-2-22-222-2-222-2-222-2-2200002-200000000000000000000000000002i−2i002i−2i000
χ302-222-2-2-22-222-2-222-2-222-2-2200002-20000000000000000000000000000−2i2i00−2i2i000
χ312-222-2-2-22-222-2-222-2-2-2-22220000-2200000000000000000000000000002i−2i00−2i2i000
χ322-222-2-2-22-222-2-222-2-2-2-22220000-220000000000000000000000000000−2i2i002i−2i000
χ332-222-2-2-22-2-222-2-222222-2-2-20000-2200002i−2i−2i2i0000000000000000002i−2i000000000
χ342-222-2-2-22-2-222-2-222222-2-2-20000-220000−2i2i2i−2i000000000000000000−2i2i000000000
χ352-222-2-2-22-2-222-2-2222-2-222-200002-200002i−2i−2i2i000000000000000000−2i2i000000000
χ362-222-2-2-22-2-222-2-2222-2-222-200002-20000−2i2i2i−2i0000000000000000002i−2i000000000
χ372-22-222-2-220-20-202002i−2i2i−2i0i2i2−i2−i200002-20000i2−i22i−2i2−22−20022−2−200000000i2−i200000
χ382-22-222-2-220-20-202002i−2i2i−2i0i2i2−i2−i20000-220000i2−i2−2i2i2−22−200−2−22200000000−i2i200000
χ392-22-222-2-220-20-202002i−2i2i−2i0−i2−i2i2i200002-20000−i2i22i−2i−22−2200−2−22200000000−i2i200000
χ402-22-222-2-220-20-202002i−2i2i−2i0−i2−i2i2i20000-220000−i2i2−2i2i−22−220022−2−200000000i2−i200000
χ412-22-222-2-220-20-20200−2i2i−2i2i0i2i2−i2−i200002-20000i2−i2−2i2i−22−2200−2−22200000000i2−i200000
χ422-22-222-2-220-20-20200−2i2i−2i2i0i2i2−i2−i20000-220000i2−i22i−2i−22−220022−2−200000000−i2i200000
χ432-22-222-2-220-20-20200−2i2i−2i2i0−i2−i2i2i200002-20000−i2i2−2i2i2−22−20022−2−200000000−i2i200000
χ442-22-222-2-220-20-20200−2i2i−2i2i0−i2−i2i2i20000-220000−i2i22i−2i2−22−200−2−22200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-44040-40-4000000000000000000000000022−22−2222000000000000000000000
χ47444-4-4-44-44040-40-40000000000000000000000000−222222−22000000000000000000000
χ48444-4-4-44-4-40-40404004i−4i−4i4i00000000000000000000000000000000000000000000
χ49444-4-4-44-4-40-4040400−4i4i4i−4i00000000000000000000000000000000000000000000
χ5044-4-44-4-44040-40-4040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5144-4-44-4-44040-40-404000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5244-4-44-4-440-404040-40000004i−4i4i−4i000000000000000000000000000000000000000
χ5344-4-44-4-440-404040-4000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-444-4-4-4444-4-444-4-440000-40000000000000000000000000000000000000000000
χ554-44-444-4-4-404040-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ564-44-444-4-4-404040-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ574-4-444-44-40000000000000022−22−22220000000000000000002i2−2i22i−2i−2i2i000000000000000
χ584-4-444-44-40000000000000022−22−2222000000000000000000−2i22i2−2i2i2i−2i000000000000000
χ594-4-444-44-400000000000000−222222−220000000000000000002i2−2i2−2i2i2i−2i000000000000000
χ604-4-444-44-400000000000000−222222−22000000000000000000−2i22i22i−2i−2i2i000000000000000
χ614-4-4-4-444404040-40-40000000000004i−4i00000000000000000000000000000000000
χ624-4-4-4-444404040-40-4000000000000−4i4i00000000000000000000000000000000000
χ634-4-4-4-44440-40-40404000000000000000000000000000000000000000000000022−220
χ644-4-4-4-44440-40-404040000000000000000000000000000000000000000000000−22220
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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