Finite Group Databasebeta

← Group #335356

Character table — Group #335356

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888224
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-11-11
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-11111-1
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-11-1111-1-1-1-111-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11111-1-1111-1-1
χ17222222222-222-2-22-2-2-2222222000000-2-2000000000000-202-200000000000
χ18222222222-222-2-22-2-2-22222-2-2000000-2-200000000000020-2200000000000
χ19222222222-222-2-22-2-2-2-2-2-2-2220000002200000000000020-2-200000000000
χ20222222222-222-2-22-2-2-2-2-2-2-2-2-200000022000000000000-202200000000000
χ2122222222-22-2-222-22-2-200000022-2-2220022-2-2000000000-20000000000000
χ2222222222-22-2-222-22-2-200000022-2-2-2-200-2-22200000000020000000000000
χ2322222222-22-2-222-22-2-2000000-2-2222200-2-222000000000-20000000000000
χ2422222222-22-2-222-22-2-2000000-2-222-2-20022-2-200000000020000000000000
χ252-22-2-22-22-2-22222-2-22-20000000000000000002i2i−2i−2i000000002-200002i−2i000
χ262-22-2-22-22-2-22222-2-22-20000000000000000002i2i−2i−2i00000000-220000−2i2i000
χ272-22-2-22-22-2-22222-2-22-2000000000000000000−2i−2i2i2i000000002-20000−2i2i000
χ282-22-2-22-22-2-22222-2-22-2000000000000000000−2i−2i2i2i00000000-2200002i−2i000
χ292-2-22-2-2220-2002-2020022−2−200002-22-22−2002-22−22−222−2−20000002−20000000
χ302-2-22-2-2220-2002-2020022−2−200002-2-222−200-222−22−2−2−222000000−220000000
χ312-2-22-2-2220-2002-2020022−2−20000-222-22−200-22−22−22−2−2220000002−20000000
χ322-2-22-2-2220-2002-2020022−2−20000-22-222−2002-2−22−2222−2−2000000−220000000
χ332-2-22-2-2220-2002-20200−2−22200002-22-2−22002-2−22−22−2−222000000−220000000
χ342-2-22-2-2220-2002-20200−2−22200002-2-22−2200-22−22−2222−2−20000002−20000000
χ352-2-22-2-2220-2002-20200−2−2220000-222-2−2200-222−22−222−2−2000000−220000000
χ362-2-22-2-2220-2002-20200−2−2220000-22-22−22002-22−22−2−2−2220000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-4404-400-4000000000000000000000000022−2222−22000000000000000
χ394444-4-4-4-4404-400-40000000000000000000000000−2222−2222000000000000000
χ404444-4-4-4-4-40-440040004i−4i4i−4i0000000000000000000000000000000000000
χ414444-4-4-4-4-40-44004000−4i4i−4i4i0000000000000000000000000000000000000
χ4244-4-44-4-4404004-40-4000000000000000000002i2−2i2−2i22i20000000000000000000
χ4344-4-44-4-4404004-40-400000000000000000000−2i22i22i2−2i20000000000000000000
χ4444-4-44-4-440-400-4404000000004-4000000000000000000000000000000000
χ4544-4-44-4-440-400-440400000000-44000000000000000000000000000000000
χ464-44-44-44-440-4400-400000000000000000000000000000000000002i2−2i200000
χ474-44-44-44-440-4400-40000000000000000000000000000000000000−2i22i200000
χ484-44-44-44-4-404-400400000004-400000000000000000000000000000000000
χ494-44-44-44-4-404-40040000000-4400000000000000000000000000000000000
χ504-44-4-44-4444-4-4-4-4444-400000000000000000000000000000000000000000
χ514-44-4-44-444-4-4-4444-4-4400000000000000000000000000000000000000000
χ524-44-4-44-44-4444-4-4-44-4400000000000000000000000000000000000000000
χ534-4-4444-4-400000000002i2−2i2−2i22i200000000002i2−2i20000002-2-22000000000000000
χ544-4-4444-4-400000000002i2−2i2−2i22i20000000000−2i22i2000000-222-2000000000000000
χ554-4-4444-4-40000000000−2i22i22i2−2i200000000002i2−2i2000000-222-2000000000000000
χ564-4-4444-4-40000000000−2i22i22i2−2i20000000000−2i22i20000002-2-22000000000000000
χ574-4-44-4-4440400-440-4002222−22−2200000000−2222000000000000000000000000000
χ584-4-44-4-4440400-440-400−22−2222220000000022−22000000000000000000000000000
χ5988-8-8-888-8000000000000000000000000000000000000000000000000000

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