Finite Group Databasebeta

← Group #283137

Character table — Group #283137

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-11-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-111-1-11111-1
χ172222222222-2-22-2-22-20000-2222200220022-2-2-2-2000000000000-200000000000000
χ182222222222-2-22-2-22-20000-2222200-2-200-2-222-2-2000000000000200000000000000
χ192222222222-2-22-2-22-20000-2-2-2-2-2002200-2-2-2-222000000000000200000000000000
χ202222222222-2-22-2-22-20000-2-2-2-2-200-2-200222222000000000000-200000000000000
χ2122222222-2-222-222-2-22222-20000-2-2002200000022-2-200000000000-200000000000
χ2222222222-2-222-222-2-22222-20000-2-200-2-2000000-2-22200000000000200000000000
χ2322222222-2-222-222-2-2-2-2-2-2-20000220022000000-2-22200000000000-200000000000
χ2422222222-2-222-222-2-2-2-2-2-2-200002200-2-200000022-2-200000000000200000000000
χ2522-222-2-2-2002-202-2002i2i−2i−2i0i2i2−i2−i200002-20000i2−i22i−2i0022−2−222−2−2000000000000i2−i20
χ2622-222-2-2-2002-202-2002i2i−2i−2i0i2i2−i2−i20000-220000i2−i2−2i2i0022−2−2−2−222000000000000−i2i20
χ2722-222-2-2-2002-202-2002i2i−2i−2i0−i2−i2i2i200002-20000−i2i22i−2i00−2−222−2−222000000000000−i2i20
χ2822-222-2-2-2002-202-2002i2i−2i−2i0−i2−i2i2i20000-220000−i2i2−2i2i00−2−22222−2−2000000000000i2−i20
χ2922-222-2-2-2002-202-200−2i−2i2i2i0i2i2−i2−i200002-20000i2−i2−2i2i00−2−222−2−222000000000000i2−i20
χ3022-222-2-2-2002-202-200−2i−2i2i2i0i2i2−i2−i20000-220000i2−i22i−2i00−2−22222−2−2000000000000−i2i20
χ3122-222-2-2-2002-202-200−2i−2i2i2i0−i2−i2i2i200002-20000−i2i2−2i2i0022−2−222−2−2000000000000−i2i20
χ3222-222-2-2-2002-202-200−2i−2i2i2i0−i2−i2i2i20000-220000−i2i22i−2i0022−2−2−2−222000000000000i2−i20
χ332-2-22-2-2222222-2-2-2-2-2000020000002i−2i00002i−2i0000002i−2i2i−2i000000002-2000000000
χ342-2-22-2-2222222-2-2-2-2-2000020000002i−2i00002i−2i000000−2i2i−2i2i00000000-22000000000
χ352-2-22-2-2222222-2-2-2-2-200002000000−2i2i0000−2i2i0000002i−2i2i−2i00000000-22000000000
χ362-2-22-2-2222222-2-2-2-2-200002000000−2i2i0000−2i2i000000−2i2i−2i2i000000002-2000000000
χ372-2-22-2-22222-2-2-222-222-22-2-200002-22i−2i0000−2i2i0000000000000002i−2i000000000000
χ382-2-22-2-22222-2-2-222-222-22-2-200002-2−2i2i00002i−2i000000000000000−2i2i000000000000
χ392-2-22-2-22222-2-2-222-22-22-22-20000-222i−2i0000−2i2i000000000000000−2i2i000000000000
χ402-2-22-2-22222-2-2-222-22-22-22-20000-22−2i2i00002i−2i0000000000000002i−2i000000000000
χ412-2-22-2-222-2-2-2-22222-22-22-220000-2200000000000000000000000000002-22-200000
χ422-2-22-2-222-2-2-2-22222-22-22-220000-220000000000000000000000000000-22-2200000
χ432-2-22-2-222-2-2-2-22222-2-22-22200002-200000000000000000000000000002-2-2200000
χ442-2-22-2-222-2-2-2-22222-2-22-22200002-20000000000000000000000000000-222-200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-4000000000000002i2−2i22i2−2i20000000000000022−2200002i−2i2i−2i000000000000000
χ47444-4-4-44-4000000000000002i2−2i22i2−2i200000000000000−22220000−2i2i−2i2i000000000000000
χ48444-4-4-44-400000000000000−2i22i2−2i22i20000000000000022−220000−2i2i−2i2i000000000000000
χ49444-4-4-44-400000000000000−2i22i2−2i22i200000000000000−222200002i−2i2i−2i000000000000000
χ5044-444-4-4-400-440-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-444-4-4-400-440-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ5244-4-4-44-444-400400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5344-4-4-44-444-400400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5444-4-4-44-44-4400-40040000004-4-44000000000000000000000000000000000000000
χ5544-4-4-44-44-4400-4004000000-444-4000000000000000000000000000000000000000
χ564-444-44-4-4004-40-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ574-444-44-4-4004-40-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ584-444-44-4-400-4404-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ594-444-44-4-400-4404-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ604-44-44-4-444-400-40040000000000000000000000000000000000000000000022−22000
χ614-44-44-4-444-400-400400000000000000000000000000000000000000000000−2222000
χ624-44-44-4-44-4400400-400000000000000004i−4i0000000000000000000000000000000
χ634-44-44-4-44-4400400-40000000000000000−4i4i0000000000000000000000000000000
χ644-4-44-4-444-4-4444-4-4440000-40000000000000000000000000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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