Finite Group Databasebeta

← Group #290372

Character table — Group #290372

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-111111111-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-1-1-111111111-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-11-1
χ17222222222-2-222-22-2-2-22222-2-222220000-2-2-2-2-20000000022000000000000000000
χ18222222222-2-222-22-2-2-22222-2-2-2-2-2-20000-2222200000000-2-2000000000000000000
χ19222222222-2-222-22-2-2-2-2-2-2-222222200002-2-22200000000-2-2000000000000000000
χ20222222222-2-222-22-2-2-2-2-2-2-222-2-2-2-20000222-2-20000000022000000000000000000
χ2122222222-222-2-22-22-2-222-2-222000022-2-2-20000000000000000002-2000000000000
χ2222222222-222-2-22-22-2-222-2-2220000-2-222-2000000000000000000-22000000000000
χ2322222222-222-2-22-22-2-2-2-222-2-2000022-2-22000000000000000000-22000000000000
χ2422222222-222-2-22-22-2-2-2-222-2-20000-2-22220000000000000000002-2000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-200000000200002i2i−2i−2i00000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-20000000020000−2i−2i2i2i0000000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-2222200000000-200002i2i−2i−2i0000000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-2222200000000-20000−2i−2i2i2i00000000000000002i−2i000000
χ292222-2-2-2-222-22-22-2-22-200000000000000000002-22-222-2-2000000002-20000000000
χ302222-2-2-2-222-22-22-2-22-200000000000000000002-22-2-2-22200000000-220000000000
χ312222-2-2-2-222-22-22-2-22-20000000000000000000-22-2222-2-200000000-220000000000
χ322222-2-2-2-222-22-22-2-22-20000000000000000000-22-22-2-222000000002-20000000000
χ332222-2-2-2-2-2-22-22-2222-200000000000000000002i−2i−2i2i00000022-2-200002i−2i00000000
χ342222-2-2-2-2-2-22-22-2222-200000000000000000002i−2i−2i2i000000-2-2220000−2i2i00000000
χ352222-2-2-2-2-2-22-22-2222-20000000000000000000−2i2i2i−2i00000022-2-20000−2i2i00000000
χ362222-2-2-2-2-2-22-22-2222-20000000000000000000−2i2i2i−2i000000-2-22200002i−2i00000000
χ3722-2-222-2-2-2002-2020002-22-20022-2-20000000000000i2−i2i2−i22-2i2−i2i2−i200000000i2−i2i2−i200
χ3822-2-222-2-2-2002-2020002-22-20022-2-20000000000000−i2i2−i2i22-2−i2i2−i2i200000000−i2i2−i2i200
χ3922-2-222-2-2-2002-2020002-22-200-2-2220000000000000i2−i2i2−i2-22i2−i2i2−i200000000−i2i2−i2i200
χ4022-2-222-2-2-2002-2020002-22-200-2-2220000000000000−i2i2−i2i2-22−i2i2−i2i200000000i2−i2i2−i200
χ4122-2-222-2-2-2002-202000-22-220022-2-20000000000000i2−i2i2−i2-22−i2i2−i2i200000000i2−i2−i2i200
χ4222-2-222-2-2-2002-202000-22-220022-2-20000000000000−i2i2−i2i2-22i2−i2i2−i200000000−i2i2i2−i200
χ4322-2-222-2-2-2002-202000-22-2200-2-2220000000000000i2−i2i2−i22-2−i2i2−i2i200000000−i2i2i2−i200
χ4422-2-222-2-2-2002-202000-22-2200-2-2220000000000000−i2i2−i2i22-2i2−i2i2−i200000000i2−i2−i2i200
χ454444-4-4-4-44-444-4-4-44-4400000000000000000000000000000000000000000000000
χ464444-4-4-4-4-44-4-4444-4-4400000000000000000000000000000000000000000000000
χ4744-4-444-4-4400-440-40004-4-440000000000000000000000000000000000000000000
χ4844-4-444-4-4400-440-4000-444-40000000000000000000000000000000000000000000
χ4944-4-4-4-444400-4-404000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5044-4-4-4-444400-4-40400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ5144-4-4-4-444-400440-4000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5244-4-4-4-444-400440-400000000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-44-44-4-44000000000000004i−4i22−2222−2200000002i2−2i20000000000000000000000000000
χ544-44-44-4-44000000000000004i−4i−2222−22220000000−2i22i20000000000000000000000000000
χ554-44-44-4-4400000000000000−4i4i22−2222−220000000−2i22i20000000000000000000000000000
χ564-44-44-4-4400000000000000−4i4i−2222−222200000002i2−2i20000000000000000000000000000
χ574-4-444-44-404400-40-40000000022−22−22220000022−22000000000000000000000000000000
χ584-4-444-44-404400-40-400000000−222222−2200000−2222000000000000000000000000000000
χ594-4-444-44-40-4-4004040000000022−22−222200000−2222000000000000000000000000000000
χ604-4-444-44-40-4-40040400000000−222222−220000022−22000000000000000000000000000000
χ614-4-44-44-4404-400-404000000000000004-4000000000000000000000000000000000
χ624-4-44-44-4404-400-40400000000000000-44000000000000000000000000000000000
χ634-4-44-44-440-440040-40000000000004i−4i00000000000000000000000000000000000
χ644-4-44-44-440-440040-4000000000000−4i4i00000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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