Finite Group Databasebeta

← Group #316461

Character table — Group #316461

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244448888224444888888888844444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1
χ91111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-111-1-1-111-1-1-1-111-1-1-1-111
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-111-1-1-111-1-1-1-11111-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-11111-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-1-1-1-11111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-11111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-11111-1-1-1-1
χ17222222222-222-2-22-22222-2-222220000-2-2-2-2-2-222000000000000000000000000
χ18222222222-222-2-22-22222-2-2-2-2-2-20000-2-22222-2-2000000000000000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-22222000022-2-222-2-2000000000000000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-2-2-2-2-200002222-2-222000000000000000000000000
χ2122222222-22-2-222-2222-2-2-2-2000022-2-22-2000000000020000-200000000000000
χ2222222222-22-2-222-2222-2-2-2-20000-2-2222-20000000000-20000200000000000000
χ2322222222-22-2-222-22-2-222-2-2000022-2-2-220000000000-20000200000000000000
χ2422222222-22-2-222-22-2-222-2-20000-2-222-22000000000020000-200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200000000-220000002i2i−2i−2i00000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200000000-22000000−2i−2i2i2i0000000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000002-20000002i2i−2i−2i0000000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000002-2000000−2i−2i2i2i00000000002i−2i00000000
χ292-2-222-2-22202-200-202-22-2002i2i−2i−2i00000000002i−2i0000000000000000i2−i22−2i2−i22−2
χ302-2-222-2-22202-200-202-22-2002i2i−2i−2i00000000002i−2i0000000000000000−i2i2−22−i2i2−22
χ312-2-222-2-22202-200-202-22-200−2i−2i2i2i0000000000−2i2i0000000000000000i2−i2−22i2−i2−22
χ322-2-222-2-22202-200-202-22-200−2i−2i2i2i0000000000−2i2i0000000000000000−i2i22−2−i2i22−2
χ332-2-222-2-22202-200-20-22-22002i2i−2i−2i0000000000−2i2i0000000000000000i2−i2−22−i2i22−2
χ342-2-222-2-22202-200-20-22-22002i2i−2i−2i0000000000−2i2i0000000000000000−i2i22−2i2−i2−22
χ352-2-222-2-22202-200-20-22-2200−2i−2i2i2i00000000002i−2i0000000000000000i2−i22−2−i2i2−22
χ362-2-222-2-22202-200-20-22-2200−2i−2i2i2i00000000002i−2i0000000000000000−i2i2−22i2−i22−2
χ372-2-2-2222-222-22-2-2-2200002-22i−2i2i−2i0000002i−2i000000000002-20002i−2i0000000000
χ382-2-2-2222-222-22-2-2-2200002-22i−2i2i−2i0000002i−2i00000000000-22000−2i2i0000000000
χ392-2-2-2222-222-22-2-2-2200002-2−2i2i−2i2i000000−2i2i000000000002-2000−2i2i0000000000
χ402-2-2-2222-222-22-2-2-2200002-2−2i2i−2i2i000000−2i2i00000000000-220002i−2i0000000000
χ412-2-2-2222-22-2-2222-2-20000-222i−2i2i−2i000000−2i2i0000000002-20002i−2i000000000000
χ422-2-2-2222-22-2-2222-2-20000-222i−2i2i−2i000000−2i2i000000000-22000−2i2i000000000000
χ432-2-2-2222-22-2-2222-2-20000-22−2i2i−2i2i0000002i−2i0000000002-2000−2i2i000000000000
χ442-2-2-2222-22-2-2222-2-20000-22−2i2i−2i2i0000002i−2i000000000-220002i−2i000000000000
χ45444-44-4-4-440-4-400400000004-4-44000000000000000000000000000000000000
χ46444-44-4-4-440-4-40040000000-444-4000000000000000000000000000000000000
χ47444-44-4-4-4-404400-400000000000000000004-400000000000000000000000000
χ48444-44-4-4-4-404400-40000000000000000000-4400000000000000000000000000
χ4944-44-44-4-404004-40-400000000004-40000000000000000000000000000000000
χ5044-44-44-4-404004-40-40000000000-440000000000000000000000000000000000
χ5144-44-44-4-40-400-44040000000000004i−4i00000000000000000000000000000000
χ5244-44-44-4-40-400-4404000000000000−4i4i00000000000000000000000000000000
χ534-44-4-44-440400-440-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ544-44-4-44-440400-440-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ554-44-4-44-440-4004-404000000000000000000000022−22−222200000000000000000000
χ564-44-4-44-440-4004-4040000000000000000000000−222222−2200000000000000000000
χ574-4-444-4-44-40-4400404-4-44000000000000000000000000000000000000000000
χ584-4-444-4-44-40-440040-444-4000000000000000000000000000000000000000000
χ594-4-4-4444-4-444-4-4-4440000-440000000000000000000000000000000000000000
χ604-4-4-4444-4-4-44-4444-400004-40000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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