Finite Group Databasebeta

← Group #72252690

Character table — Group #72252690

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size111122222222222222222244444444448888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order12222222224444444488882222888888448888444444444444888816161616161616161616161616161616244444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111
χ511111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1111111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ101111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-1-111
χ111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ121111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11-1-11-1-11111-1-1
χ131111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-111
χ141111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ151111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111-111-1-111-1-1
χ161111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ17222222222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2222200000000-2-2-2-20000000000000000000000000000
χ18222222222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000022220000000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000-2-2220000000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2220000000022-2-20000000000000000000000000000
χ21222222-2-2-2-222-22-22-2-2222200002-2-2-22-2000000000000002i2i−2i−2i000000000000000022-2-200000000002i−2i
χ22222222-2-2-2-222-22-22-2-2222200002-2-2-22-2000000000000002i2i−2i−2i0000000000000000-2-2220000000000−2i2i
χ23222222-2-2-2-222-22-22-2-2222200002-2-2-22-200000000000000−2i−2i2i2i000000000000000022-2-20000000000−2i2i
χ24222222-2-2-2-222-22-22-2-2222200002-2-2-22-200000000000000−2i−2i2i2i0000000000000000-2-22200000000002i−2i
χ252222-2-22-22-2-2-222-222-2-2-2-2-20000222-22-2000000000000002i−2i2i−2i0000000000002i2i−2i−2i0000200-200000000
χ262222-2-22-22-2-2-222-222-2-2-2-2-20000222-22-2000000000000002i−2i2i−2i000000000000−2i−2i2i2i0000-200200000000
χ272222-2-22-22-2-2-222-222-2-2-2-2-20000222-22-200000000000000−2i2i−2i2i0000000000002i2i−2i−2i0000-200200000000
χ282222-2-22-22-2-2-222-222-2-2-2-2-20000222-22-200000000000000−2i2i−2i2i000000000000−2i−2i2i2i0000200-200000000
χ292222-2-2-22-22-2-2-2222-2222220000-222-2-2-2000000002-222-2-20000002-200000000000000000000002-20000
χ302222-2-2-22-22-2-2-2222-2222220000-222-2-2-2000000002-2-2-2220000002-20000000000000000000000-220000
χ312222-2-2-22-22-2-2-2222-2222220000-222-2-2-200000000-2222-2-2000000-220000000000000000000000-220000
χ322222-2-2-22-22-2-2-2222-2222220000-222-2-2-200000000-22-2-222000000-2200000000000000000000002-20000
χ332222-2-2-22-22-2-2-2222-22-2-2-2-200002-2-2222000000002-200002-2-2200-22000000000000000002-2000000000
χ342222-2-2-22-22-2-2-2222-22-2-2-2-200002-2-2222000000002-20000-222-200-2200000000000000000-22000000000
χ352222-2-2-22-22-2-2-2222-22-2-2-2-200002-2-222200000000-2200002-2-22002-200000000000000000-22000000000
χ362222-2-2-22-22-2-2-2222-22-2-2-2-200002-2-222200000000-220000-222-2002-2000000000000000002-2000000000
χ372-2-222-22-2-222-22-222-2-222-2-2000022-22-2-200000000002-22-2000000000000000000002i−2i2i−2i000000002i−2i00
χ382-2-222-22-2-222-22-222-2-222-2-2000022-22-2-200000000002-22-200000000000000000000−2i2i−2i2i00000000−2i2i00
χ392-2-222-22-2-222-22-222-2-222-2-2000022-22-2-20000000000-22-22000000000000000000002i−2i2i−2i00000000−2i2i00
χ402-2-222-22-2-222-22-222-2-222-2-2000022-22-2-20000000000-22-2200000000000000000000−2i2i−2i2i000000002i−2i00
χ412-2-222-2-222-22-2-2-2-222222-2-222-2-22-22-2-222-222-2-2000000000000000000002i2i−2i−2i00002i−2i−2i2i000000000000
χ422-2-222-2-222-22-2-2-2-222222-2-222-2-22-22-2-222-222-2-200000000000000000000−2i−2i2i2i0000−2i2i2i−2i000000000000
χ432-2-222-2-222-22-2-2-2-222222-2-2-2-2222-22-2-22-22-2-222000000000000000000002i2i−2i−2i0000−2i2i2i−2i000000000000
χ442-2-222-2-222-22-2-2-2-222222-2-2-2-2222-22-2-22-22-2-22200000000000000000000−2i−2i2i2i00002i−2i−2i2i000000000000
χ452-2-222-2-222-22-2-2-2-2222-2-22222-2-2-22-222-22-2-2-22200000000000000002i2i−2i−2i00002i−2i2i−2i0000000000000000
χ462-2-222-2-222-22-2-2-2-2222-2-22222-2-2-22-222-22-2-2-2220000000000000000−2i−2i2i2i0000−2i2i−2i2i0000000000000000
χ472-2-222-2-222-22-2-2-2-2222-2-222-2-222-22-222-2-2222-2-200000000000000002i2i−2i−2i0000−2i2i−2i2i0000000000000000
χ482-2-222-2-222-22-2-2-2-2222-2-222-2-222-22-222-2-2222-2-20000000000000000−2i−2i2i2i00002i−2i2i−2i0000000000000000
χ492-2-22-22-2-222-22-2-2222-222-2-20000-22-2-22200000000002-2-2200000000000000002-2-22000000002-2000000
χ502-2-22-22-2-222-22-2-2222-222-2-20000-22-2-22200000000002-2-220000000000000000-222-200000000-22000000
χ512-2-22-22-2-222-22-2-2222-222-2-20000-22-2-2220000000000-222-200000000000000002-2-2200000000-22000000
χ522-2-22-22-2-222-22-2-2222-222-2-20000-22-2-2220000000000-222-20000000000000000-222-2000000002-2000000
χ534444444444-4-4-4-4-4-4-4-400004444000000-4-4000000000000000000000000000000000000000000000000
χ544444444444-4-4-4-4-4-4-4-40000-4-4-4-400000044000000000000000000000000000000000000000000000000
χ55444444-4-4-4-444-44-44-4-4-4-4-4-40000-4444-4400000000000000000000000000000000000000000000000000
χ56444444-4-4-4-4-4-44-44-44400000000000000000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ57444444-4-4-4-4-4-44-44-4440000000000000000000000000000000000000000−2i22i2−2i22i200000000000000000000
χ584444-4-44-44-444-4-44-4-440000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ594444-4-44-44-444-4-44-4-44000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ604444-4-44-44-4-4-444-444-444440000-4-4-44-4400000000000000000000000000000000000000000000000000
χ614444-4-4-44-44444-4-4-44-4000000000000000000004-4000000000000000000000000000000000000000000
χ624444-4-4-44-44444-4-4-44-400000000000000000000-44000000000000000000000000000000000000000000
χ634-4-444-44-4-444-44-444-4-4-4-4440000-4-44-44400000000000000000000000000000000000000000000000000
χ644-4-444-44-4-44-44-44-4-444000000000000000000000000000000000000000022−22−222200000000000000000000
χ654-4-444-44-4-44-44-44-4-4440000000000000000000000000000000000000000−222222−2200000000000000000000
χ664-4-444-4-444-4-44444-4-4-4000044-4-4000000-44000000000000000000000000000000000000000000000000
χ674-4-444-4-444-4-44444-4-4-40000-4-4440000004-4000000000000000000000000000000000000000000000000
χ684-4-44-4444-4-44-4-444-44-4000000000000000000000000000000004-4000000000000000000000000000000
χ694-4-44-4444-4-44-4-444-44-400000000000000000000000000000000-44000000000000000000000000000000
χ704-4-44-4444-4-4-444-4-44-4444-4-40000-4-4444-400000000000000000000000000000000000000000000000000
χ714-4-44-4444-4-4-444-4-44-44-4-444000044-4-4-4400000000000000000000000000000000000000000000000000
χ724-4-44-44-4-4444-444-4-4-4400000000000000000000000000000000000022−22−2222000000000000000000000000
χ734-4-44-44-4-4444-444-4-4-44000000000000000000000000000000000000−222222−22000000000000000000000000
χ744-4-44-44-4-444-44-4-4444-4-4-44400004-444-4-400000000000000000000000000000000000000000000000000
χ7588-8-8000000000000004i2−4i24i2−4i24-44-4000000002i2−2i22i2−2i200000000000000000000000000000000000000000000
χ7688-8-8000000000000004i2−4i24i2−4i2-44-4400000000−2i22i2−2i22i200000000000000000000000000000000000000000000
χ7788-8-800000000000000−4i24i2−4i24i24-44-400000000−2i22i2−2i22i200000000000000000000000000000000000000000000
χ7888-8-800000000000000−4i24i2−4i24i2-44-44000000002i2−2i22i2−2i200000000000000000000000000000000000000000000
χ798-88-8000000000000004i2−4i2−4i24i24-4-44000000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ808-88-8000000000000004i2−4i2−4i24i2-444-400000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ818-88-800000000000000−4i24i24i2−4i24-4-4400000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ828-88-800000000000000−4i24i24i2−4i2-444-4000000002i2−2i2−2i22i200000000000000000000000000000000000000000000

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