Finite Group Databasebeta

← Group #306913

Character table — Group #306913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1111-1-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1111111-1-111-1
χ17222222222-22-22-22-20000-2-22222220000-2-2-2-2-2-2000000000000200000000000000
χ18222222222-22-22-22-20000-2-22222-2-200002222-2-2000000000000-200000000000000
χ19222222222-22-22-22-20000-2-2-2-2-2-222000022-2-222000000000000-200000000000000
χ20222222222-22-22-22-20000-2-2-2-2-2-2-2-20000-2-22222000000000000200000000000000
χ2122222222-22-22-22-222222-2-2000000-2-222000000220000-2-20000000-200000000000
χ2222222222-22-22-22-222222-2-2000000-2-2-2-2000000-2-20000220000000200000000000
χ2322222222-22-22-22-22-2-2-2-2-2-20000002222000000-2-20000220000000-200000000000
χ2422222222-22-22-22-22-2-2-2-2-2-200000022-2-2000000220000-2-20000000200000000000
χ2522-22-2-2-220-202020-222-2-200i2i2−i2−i200002-20000i2−i22-2i2i2−i2−i200i2i2−i2−i200000000i2−i200000
χ2622-22-2-2-220-202020-222-2-200i2i2−i2−i20000-220000i2−i2-22i2i2−i2−i200−i2−i2i2i200000000−i2i200000
χ2722-22-2-2-220-202020-222-2-200−i2−i2i2i200002-20000−i2i22-2−i2−i2i2i200−i2−i2i2i200000000−i2i200000
χ2822-22-2-2-220-202020-222-2-200−i2−i2i2i20000-220000−i2i2-22−i2−i2i2i200i2i2−i2−i200000000i2−i200000
χ2922-22-2-2-220-202020-2-2-22200i2i2−i2−i200002-20000i2−i2-22−i2−i2i2i200−i2−i2i2i200000000i2−i200000
χ3022-22-2-2-220-202020-2-2-22200i2i2−i2−i20000-220000i2−i22-2−i2−i2i2i200i2i2−i2−i200000000−i2i200000
χ3122-22-2-2-220-202020-2-2-22200−i2−i2i2i200002-20000−i2i2-22i2i2−i2−i200i2i2−i2−i200000000−i2i200000
χ3222-22-2-2-220-202020-2-2-22200−i2−i2i2i20000-220000−i2i22-2i2i2−i2−i200−i2−i2i2i200000000i2−i200000
χ332-2-222-22-22-2-222-2-222-22-2-220000002-2000000000000000000000000002i−2i002i−2i000
χ342-2-222-22-22-2-222-2-222-22-2-220000002-200000000000000000000000000−2i2i00−2i2i000
χ352-2-222-22-22-2-222-2-22-22-22-22000000-22000000000000000000000000002i−2i00−2i2i000
χ362-2-222-22-22-2-222-2-22-22-22-22000000-2200000000000000000000000000−2i2i002i−2i000
χ372-2-222-22-2-222-2-222-20000-2200002i−2i0000002i−2i00002-22-200000002i−2i000000000000
χ382-2-222-22-2-222-2-222-20000-2200002i−2i0000002i−2i0000-22-220000000−2i2i000000000000
χ392-2-222-22-2-222-2-222-20000-220000−2i2i000000−2i2i00002-22-20000000−2i2i000000000000
χ402-2-222-22-2-222-2-222-20000-220000−2i2i000000−2i2i0000-22-2200000002i−2i000000000000
χ412-2-222-22-2-2-222-2-2222-22-22-200002i−2i-220000−2i2i0000000000000000002i−2i000000000
χ422-2-222-22-2-2-222-2-2222-22-22-20000−2i2i-2200002i−2i000000000000000000−2i2i000000000
χ432-2-222-22-2-2-222-2-222-22-222-200002i−2i2-20000−2i2i000000000000000000−2i2i000000000
χ442-2-222-22-2-2-222-2-222-22-222-20000−2i2i2-200002i−2i0000000000000000002i−2i000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ4644-44-4-4-44040-40-4040000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ4744-44-4-4-44040-40-404000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4844-4-444-4-44040-40-4000000000000000004-40000000000000000000000000000000
χ4944-4-444-4-44040-40-400000000000000000-440000000000000000000000000000000
χ5044-4-444-4-4-40-40404000000000000000000000000000000000000000000000002i2−2i20
χ5144-4-444-4-4-40-4040400000000000000000000000000000000000000000000000−2i22i20
χ524-444-44-4-404040-40-44-4-44000000000000000000000000000000000000000000000
χ534-444-44-4-404040-40-4-444-4000000000000000000000000000000000000000000000
χ544-444-44-4-40-40-404040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ554-444-44-4-40-40-40404000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ564-44-44-4-4440-40-40400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ574-44-44-4-4440-40-4040000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ584-44-44-4-44-404040-400000004i−4i4i−4i000000000000000000000000000000000000000
χ594-44-44-4-44-404040-40000000−4i4i−4i4i000000000000000000000000000000000000000
χ604-4-444-44-444-4-444-4-400004-40000000000000000000000000000000000000000000
χ614-4-4-4-44440000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ624-4-4-4-44440000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ634-4-4-4-444400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ644-4-4-4-444400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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