Finite Group Databasebeta

← Group #270602

Character table — Group #270602

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444422444444444488888888888844444444888888882
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1111
χ61111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-11-1-111-1-111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111
χ9111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-1-1-111111-1-1-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-1-1111-1-1-1-11111-1
χ11111111111111111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-111-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1111111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-111111-1-11111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-11111-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-111-1-1-1-1-1-1-1-11
χ17222222222-2-2222-2-2-2-2000022-2-20022220000-2-20000-20000000000000000
χ18222222222-2-2222-2-2-2-2000022-2-200-2-2-2-2000022000020000000000000000
χ19222222222-2-2222-2-2-2-20000-2-2220022-2-20000220000-20000000000000000
χ20222222222-2-2222-2-2-2-20000-2-22200-2-2220000-2-2000020000000000000000
χ2122222222-222-2-2-222-2-222-2-2000022000022-2-200000000000-200000000000
χ2222222222-222-2-2-222-2-222-2-20000-2-20000-2-22200000000000200000000000
χ2322222222-222-2-2-222-2-2-2-2220000220000-2-22200000000000-200000000000
χ2422222222-222-2-2-222-2-2-2-2220000-2-2000022-2-200000000000200000000000
χ252-2-2-222-22222-22-2-2-22-200002-22-2000000000000000002i−2i0000000002i−2i000
χ262-2-2-222-22222-22-2-2-22-200002-22-200000000000000000−2i2i000000000−2i2i000
χ272-2-2-222-22222-22-2-2-22-20000-22-22000000000000000002i−2i000000000−2i2i000
χ282-2-2-222-22222-22-2-2-22-20000-22-2200000000000000000−2i2i0000000002i−2i000
χ292-2-2-222-222-2-2-22-222-222-22-22-2-2200000000000000000002-2000000000000
χ302-2-2-222-222-2-2-22-222-222-22-2-222-20000000000000000000-22000000000000
χ312-2-2-222-222-2-2-22-222-22-22-222-2-220000000000000000000-22000000000000
χ322-2-2-222-222-2-2-22-222-22-22-22-222-200000000000000000002-2000000000000
χ332-2-2-222-22-2-2-22-22222-22-2-22000000000000000000000000002-2002-200000
χ342-2-2-222-22-2-2-22-22222-22-2-2200000000000000000000000000-2200-2200000
χ352-2-2-222-22-2-2-22-22222-2-222-2000000000000000000000000002-200-2200000
χ362-2-2-222-22-2-2-22-22222-2-222-200000000000000000000000000-22002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-4404-40004-400000000000000000000000000000000002i2−2i20000000
χ39444-4-4-4-4404-40004-40000000000000000000000000000000000−2i22i20000000
χ40444-4-4-4-440-44000-4400000000004i−4i0000000000000000000000000000000
χ41444-4-4-4-440-44000-440000000000−4i4i0000000000000000000000000000000
χ4244-444-4-4-44004-4-400000000000000000000000000000000000000000022−220
χ4344-444-4-4-44004-4-4000000000000000000000000000000000000000000−22220
χ4444-444-4-4-4-400-444000000000000004i−4i00000000000000000000000000000
χ4544-444-4-4-4-400-44400000000000000−4i4i00000000000000000000000000000
χ4644-4-4-444-400000000000000000000002i2−2i222−2200002i2i−2i−2i00000000000000000
χ4744-4-4-444-400000000000000000000002i2−2i2−22220000−2i−2i2i2i00000000000000000
χ4844-4-4-444-40000000000000000000000−2i22i222−220000−2i−2i2i2i00000000000000000
χ4944-4-4-444-40000000000000000000000−2i22i2−222200002i2i−2i−2i00000000000000000
χ504-44-44-44-4400-4-440000000000000000000000002i2−2i22i2−2i200000000000000000
χ514-44-44-44-4400-4-44000000000000000000000000−2i22i2−2i22i200000000000000000
χ524-44-44-44-4-40044-400000000000000000000004i−4i000000000000000000000
χ534-44-44-44-4-40044-40000000000000000000000−4i4i000000000000000000000
χ544-4-44-4-44404-4000-440000000000000000004-400000000000000000000000
χ554-4-44-4-44404-4000-44000000000000000000-4400000000000000000000000
χ564-4-44-4-4440-440004-4000000000000000000000022−22−222200000000000000000
χ574-4-44-4-4440-440004-40000000000000000000000−222222−2200000000000000000
χ584-4-4-444-44-4444-44-4-4-4400000000000000000000000000000000000000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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