Finite Group Databasebeta

← Group #258913

Character table — Group #258913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444444444448888888888888888444444444444244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-11-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-11-1-11111-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1111111111-1-1-1-1
χ91111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-111-1-111-1-1
χ101111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111-1-111111-1-1-1-111
χ111111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-1-111-1-111
χ121111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-11111-1-1
χ131111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111
χ141111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-11111-1-11-1-11111-1-1
χ151111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11-1-1-1-111111-1-111-1-1
χ161111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111111-1-1-111-1-1-1-111
χ1722222222222222-2-2-222-222-2-2-2-2-2-200000000000000000000002200220-20000000-200000000
χ1822222222222222-2-2-222-222-2-2-2-2-2-20000000000000000000000-2-200-2-2020000000200000000
χ192222222222-2-2-2-2-2-2-222-2-2-22222-2-200000000000000000000002200-2-2020000000-200000000
χ202222222222-2-2-2-2-2-2-222-2-2-22222-2-20000000000000000000000-2-200220-20000000200000000
χ2122222222-2-22222222-2-22-2-2-2-222-2-20000000000000000220000002200-20-2000000000000000
χ2222222222-2-22222222-2-22-2-2-2-222-2-20000000000000000-2-2000000-2-200202000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-222-2-22200000000000000000022-2-20000000002-20000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000-2-222000000000-220000000000000
χ2522222222-2-2-2-2-2-2222-2-222222-2-2-2-2000000000000000022000000-2-200-202000000000000000
χ2622222222-2-2-2-2-2-2222-2-222222-2-2-2-20000000000000000-2-2000000220020-2000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000022-2-2000000000-220000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000-2-2220000000002-20000000000000
χ292-222-2-2-222-22i2i−2i−2i0002-202i−2i000000i2i2i2i2−i2−i2−i2−i22222−2−2−2−20000002i−2i002-200000000000000i2−i22−2
χ302-222-2-2-222-22i2i−2i−2i0002-202i−2i000000i2i2i2i2−i2−i2−i2−i22222−2−2−2−2000000−2i2i00-2200000000000000−i2i2−22
χ312-222-2-2-222-22i2i−2i−2i0002-202i−2i000000−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000002i−2i002-200000000000000−i2i2−22
χ322-222-2-2-222-22i2i−2i−2i0002-202i−2i000000−i2−i2−i2−i2i2i2i2i2−2−2−2−22222000000−2i2i00-2200000000000000i2−i22−2
χ332-222-2-2-222-2−2i−2i2i2i0002-20−2i2i000000i2i2i2i2−i2−i2−i2−i2−2−2−2−222220000002i−2i00-2200000000000000−i2i22−2
χ342-222-2-2-222-2−2i−2i2i2i0002-20−2i2i000000i2i2i2i2−i2−i2−i2−i2−2−2−2−22222000000−2i2i002-200000000000000i2−i2−22
χ352-222-2-2-222-2−2i−2i2i2i0002-20−2i2i000000−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000002i−2i00-2200000000000000i2−i2−22
χ362-222-2-2-222-2−2i−2i2i2i0002-20−2i2i000000−i2−i2−i2−i2i2i2i2i22222−2−2−2−2000000−2i2i002-200000000000000−i2i22−2
χ372-22-2-222-22200002-2-2-2-220000002-22i2i−2i−2i2i2i−2i−2i00000000002i−2i2i−2i000000000002-200000000000
χ382-22-2-222-22200002-2-2-2-220000002-22i2i−2i−2i2i2i−2i−2i0000000000−2i2i−2i2i00000000000-2200000000000
χ392-22-2-222-22200002-2-2-2-220000002-2−2i−2i2i2i−2i−2i2i2i00000000002i−2i2i−2i00000000000-2200000000000
χ402-22-2-222-22200002-2-2-2-220000002-2−2i−2i2i2i−2i−2i2i2i0000000000−2i2i−2i2i000000000002-200000000000
χ412-22-2-222-2-2-20000-22222-20000002-20000000022-2-222-2-2002i−2i−2i2i00000000000002i−2i000000000
χ422-22-2-222-2-2-20000-22222-20000002-20000000022-2-222-2-200−2i2i2i−2i0000000000000−2i2i000000000
χ432-22-2-222-2-2-20000-22222-20000002-200000000-2-222-2-222002i−2i−2i2i0000000000000−2i2i000000000
χ442-22-2-222-2-2-20000-22222-20000002-200000000-2-222-2-22200−2i2i2i−2i00000000000002i−2i000000000
χ452-2-2-222-22002-22-222-200-200002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i0000002i−2i0000000000002−22−20000
χ462-2-2-222-22002-22-222-200-200002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i2i000000−2i2i000000000000−22−220000
χ472-2-2-222-22002-22-222-200-200002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i0000002i−2i000000000000−22−220000
χ482-2-2-222-22002-22-222-200-200002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−2i2i000000−2i2i0000000000002−22−20000
χ492-2-2-222-2200-22-2222-200-20000-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22i−2i000000−2i2i0000000000002−2−220000
χ502-2-2-222-2200-22-2222-200-20000-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−2i2i0000002i−2i000000000000−222−20000
χ512-2-2-222-2200-22-2222-200-20000-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22i−2i000000−2i2i000000000000−222−20000
χ522-2-2-222-2200-22-2222-200-20000-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−2i2i0000002i−2i0000000000002−2−220000
χ53444-44-4-4-44-40000000-440000000002222−22−22−22−22222200000000000000000000000000000000000000
χ54444-44-4-4-44-40000000-44000000000−22−2222222222−22−2200000000000000000000000000000000000000
χ55444-44-4-4-4-4400000004-4000000000000000002222−22−22−22−222222000000000000000000000000000000
χ56444-44-4-4-4-4400000004-400000000000000000−22−2222222222−22−22000000000000000000000000000000
χ5744-44-44-4-40000004-4400-40000000022−22−222222−22−222200000000000000000000000000000000000000
χ5844-44-44-4-40000004-4400-400000000−222222−22−222222−2200000000000000000000000000000000000000
χ5944-44-44-4-4000000-44-400400000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ6044-44-44-4-4000000-44-40040000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ6144-4-4-4-444004i−4i−4i4i000000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ6244-4-4-4-444004i−4i−4i4i00000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ6344-4-4-4-44400−4i4i4i−4i000000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ6444-4-4-4-44400−4i4i4i−4i00000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ654-444-4-4-44-444i4i−4i−4i000-440−4i4i0000000000000000000000000000000000000000000000000000
χ664-444-4-4-44-44−4i−4i4i4i000-4404i−4i0000000000000000000000000000000000000000000000000000
χ674-44-4-444-4440000-444-4-4-4000000-440000000000000000000000000000000000000000000000
χ684-44-4-444-4-4-400004-4-4444000000-440000000000000000000000000000000000000000000000
χ694-4-444-44-4000000000000004-400002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ704-4-444-44-4000000000000004-40000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ714-4-444-44-400000000000000-4400002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ724-4-444-44-400000000000000-440000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ734-4-4-444-44004-44-4-4-440040000-44000000000000000000000000000000000000000000000000
χ744-4-4-444-4400-44-44-4-4400400004-4000000000000000000000000000000000000000000000000

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