Finite Group Databasebeta

← Group #338793

Character table — Group #338793

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-11111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-111-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111111-1
χ9111111111111111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111-1-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-11-1
χ17222222222-2-22-2-222-2-22222000022220000-2-2000000000000-2-20000-20000000000
χ18222222222-2-22-2-222-2-222220000-2-2-2-2000022000000000000-2-2000020000000000
χ19222222222-2-22-2-222-2-2-2-2-2-2000022-2-20000-2-200000000000022000020000000000
χ20222222222-2-22-2-222-2-2-2-2-2-20000-2-222000022000000000000220000-20000000000
χ2122222222-222-222-2-2-2-200002222000022-2-200-2-2-2-20000000000000000020000000
χ2222222222-222-222-2-2-2-2000022220000-2-2220022-2-200000000000000000-20000000
χ2322222222-222-222-2-2-2-20000-2-2-2-20000222200-2-22200000000000000000-20000000
χ2422222222-222-222-2-2-2-20000-2-2-2-20000-2-2-2-20022220000000000000000020000000
χ2522-22-22-2-2-2-2-2222-22-22000000000000000000000022-2-22i2i−2i−2i00000002i−2i00000000
χ2622-22-22-2-2-2-2-2222-22-22000000000000000000000022-2-2−2i−2i2i2i0000000−2i2i00000000
χ2722-22-22-2-2-2-2-2222-22-220000000000000000000000-2-2222i2i−2i−2i0000000−2i2i00000000
χ2822-22-22-2-2-2-2-2222-22-220000000000000000000000-2-222−2i−2i2i2i00000002i−2i00000000
χ292-22-222-2-2-200-20022002i2i−2i−2i22−2−22-22i−2i000000002−22−22−2000000i2i2−i2−i20000i2−i200000
χ302-22-222-2-2-200-20022002i2i−2i−2i22−2−2-22−2i2i000000002−2−22−22000000i2i2−i2−i20000−i2i200000
χ312-22-222-2-2-200-20022002i2i−2i−2i−2−2222-22i−2i00000000−22−22−22000000−i2−i2i2i20000−i2i200000
χ322-22-222-2-2-200-20022002i2i−2i−2i−2−222-22−2i2i00000000−222−22−2000000−i2−i2i2i20000i2−i200000
χ332-22-222-2-2-200-2002200−2i−2i2i2i22−2−22-2−2i2i000000002−22−22−2000000−i2−i2i2i20000−i2i200000
χ342-22-222-2-2-200-2002200−2i−2i2i2i22−2−2-222i−2i000000002−2−22−22000000−i2−i2i2i20000i2−i200000
χ352-22-222-2-2-200-2002200−2i−2i2i2i−2−2222-2−2i2i00000000−22−22−22000000i2i2−i2−i20000i2−i200000
χ362-22-222-2-2-200-2002200−2i−2i2i2i−2−222-222i−2i00000000−222−22−2000000i2i2−i2−i20000−i2i200000
χ372-2-222-22-202-202-20000i2−i2i2−i22i−2i2i−2i0000002-2002i−2i0000002−22−2i2−i22−22−2000000i2−i2000
χ382-2-222-22-202-202-20000i2−i2i2−i22i−2i2i−2i000000-2200−2i2i000000−22−22i2−i22−22−2000000−i2i2000
χ392-2-222-22-202-202-20000i2−i2i2−i2−2i2i−2i2i0000002-200−2i2i000000−22−22i2−i2−22−22000000i2−i2000
χ402-2-222-22-202-202-20000i2−i2i2−i2−2i2i−2i2i000000-22002i−2i0000002−22−2i2−i2−22−22000000−i2i2000
χ412-2-222-22-202-202-20000−i2i2−i2i22i−2i2i−2i0000002-2002i−2i000000−22−22−i2i2−22−22000000−i2i2000
χ422-2-222-22-202-202-20000−i2i2−i2i22i−2i2i−2i000000-2200−2i2i0000002−22−2−i2i2−22−22000000i2−i2000
χ432-2-222-22-202-202-20000−i2i2−i2i2−2i2i−2i2i0000002-200−2i2i0000002−22−2−i2i22−22−2000000−i2i2000
χ442-2-222-22-202-202-20000−i2i2−i2i2−2i2i−2i2i000000-22002i−2i000000−22−22−i2i22−22−2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-44-44-4-4444-4-4-44-4-4400000000000000000000000000000000000000000000000
χ4744-44-44-4-44-4-4-4444-44-400000000000000000000000000000000000000000000000
χ4844-44-44-4-4-4444-4-4-444-400000000000000000000000000000000000000000000000
χ4944-4-44-4-44000000000022−22−22222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ5044-4-44-4-44000000000022−22−2222−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ5144-4-44-4-440000000000−222222−222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ5244-4-44-4-440000000000−222222−22−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ534-444-4-4-4404-40-4400000000000000004i−4i000000000000000000000000000000000
χ544-444-4-4-4404-40-440000000000000000−4i4i000000000000000000000000000000000
χ554-444-4-4-440-4404-40000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ564-444-4-4-440-4404-4000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ574-44-444-4-4400400-4-40000002222−22−22000000000000−22220000000000000000000000000
χ584-44-444-4-4400400-4-4000000−22−22222200000000000022−220000000000000000000000000
χ594-4-444-44-40-440-4400002i2−2i22i2−2i200000000000000000000000000−2i22i2000000000000000
χ604-4-444-44-40-440-440000−2i22i2−2i22i2000000000000000000000000002i2−2i2000000000000000
χ614-4-4-4-4444400-400-4400000000000000000000000022−22−2222000000000000000000000
χ624-4-4-4-4444400-400-44000000000000000000000000−222222−22000000000000000000000
χ634-4-4-4-4444-4004004-40000000000000000004-400000000000000000000000000000
χ644-4-4-4-4444-4004004-4000000000000000000-4400000000000000000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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