Finite Group Databasebeta

← Group #72316298

Character table — Group #72316298

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222444444448888888888888888881616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222444422224444444422444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-11-1-111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ91111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-1111-11-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-11-11-1-11-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ111111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-1-11-111-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ121111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-1-1-1-11-111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ131111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-111111-11-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1111-11-1-11-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-111-11-111-11-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ161111-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1-11-1111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ17222222222222222222222222222-2-2-2-22-2-2-2-20000-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ18222222222222222222222222222-2-2-2-22-2-2-2-20000-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ19222222222222222222-2-2-222-2-2-2-22222-2-2-2-2-200002-22-20000202200200000-2-2-2-20000000000000000000000000000
χ20222222222222222222-2-2-222-2-2-2-22222-2-2-2-2-200002-22-20000-20-2-200-20000022220000000000000000000000000000
χ21222222222222222222-2-2-222-2-2-2-2-2-2-2-2-222220000-22-2200000200220200000000-2-2-2-2000000000000000000000000
χ22222222222222222222-2-2-222-2-2-2-2-2-2-2-2-222220000-22-2200000-200-2-20-2000000002222000000000000000000000000
χ232222222222-2-22222-2-222-2-2-222-2-22222-222222222-2-2-2-2222200000000-2-2-2-200000000000000000000000000000000
χ242222222222-2-22222-2-222-2-2-222-2-22222-22222-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000
χ252222222222-2-22222-2-222-2-2-222-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ262222222222-2-22222-2-222-2-2-222-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ272222222222-2-22222-2-2-2-22-2-2-2-22222222-2-2-2-20000-22-2200000000000000000000000000000000000000002-22-20000
χ282222222222-2-22222-2-2-2-22-2-2-2-22222222-2-2-2-20000-22-220000000000000000000000000000000000000000-22-220000
χ292222222222-2-22222-2-2-2-22-2-2-2-222-2-2-2-22222200002-22-2000000000000000000000000000000000000000000002-22-2
χ302222222222-2-22222-2-2-2-22-2-2-2-222-2-2-2-22222200002-22-200000000000000000000000000000000000000000000-22-22
χ312222-2-2-2-22222-2-22222222-2-2-2-2-2-222-2-2222-2-20000-2-22200000000000000000000000022-2-2-2-2220000000000000000
χ322222-2-2-2-22222-2-22222222-2-2-2-2-2-222-2-2222-2-20000-2-222000000000000000000000000-2-22222-2-20000000000000000
χ332222-2-2-2-22222-2-22222-2-2-2-2-2222222-2-2-2-2-2220000-222-2000002002-20-200000000-2-222000000000000000000000000
χ342222-2-2-2-22222-2-22222-2-2-2-2-2222222-2-2-2-2-2220000-222-200000-200-22020000000022-2-2000000000000000000000000
χ352222-2-2-2-22222-2-22222-2-2-2-2-22222-2-222-222-2-200002-2-220000202-200-200000-2-2220000000000000000000000000000
χ362222-2-2-2-22222-2-22222-2-2-2-2-22222-2-222-222-2-200002-2-220000-20-220020000022-2-20000000000000000000000000000
χ372222-2-2-2-222-2-2-2-222-2-222-222-2-22222-2-2-222-2-2000022-2-2000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ382222-2-2-2-222-2-2-2-222-2-222-222-2-22222-2-2-222-2-2000022-2-200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ392222-2-2-2-222-2-2-2-222-2-222-222-2-222-2-222-2-2-22222-2-2-2-22222-2-200000000-2-22200000000000000000000000000000000
χ402222-2-2-2-222-2-2-2-222-2-222-222-2-222-2-222-2-2-222-2-222-2-222-2-2220000000022-2-200000000000000000000000000000000
χ412222-2-2-2-222-2-2-2-222-2-2-2-222222-2-222-2-22-2-22200002-2-22000000000000000000000000000000000000000000002-2-22
χ422222-2-2-2-222-2-2-2-222-2-2-2-222222-2-222-2-22-2-22200002-2-2200000000000000000000000000000000000000000000-222-2
χ432222-2-2-2-222-2-2-2-222-2-2-2-222222-2-2-2-222222-2-20000-222-200000000000000000000000000000000000000002-2-220000
χ442222-2-2-2-222-2-2-2-222-2-2-2-222222-2-2-2-222222-2-20000-222-20000000000000000000000000000000000000000-222-20000
χ4544444444444-4-4-4-4-44-40004-4000000000000022220000-2-2-2-2000000002-22-200000000000000000000000000000000
χ4644444444444-4-4-4-4-44-40004-40000000000000-2-2-2-20000222200000000-22-2200000000000000000000000000000000
χ474444444444-44-4-4-4-4-44000-44000000000000022220000-2-2-2-200000000-22-2200000000000000000000000000000000
χ484444444444-44-4-4-4-4-44000-440000000000000-2-2-2-200002222000000002-22-200000000000000000000000000000000
χ49444444-4-4-4-4004-44-400000000000000004-44-400000000000020-2200-2000002-22-20000000000000000000000000000
χ50444444-4-4-4-4004-44-400000000000000004-44-4000000000000-202-200200000-22-220000000000000000000000000000
χ51444444-4-4-4-4004-44-40000000000000000-44-4400000000000020-2200-200000-22-220000000000000000000000000000
χ52444444-4-4-4-4004-44-40000000000000000-44-44000000000000-202-2002000002-22-20000000000000000000000000000
χ53444444-4-4-4-400-44-44000000000004-44-4000000000000000000200-220-2000000002-22-2000000000000000000000000
χ54444444-4-4-4-400-44-44000000000004-44-4000000000000000000-2002-20200000000-22-22000000000000000000000000
χ55444444-4-4-4-400-44-4400000000000-44-44000000000000000000200-220-200000000-22-22000000000000000000000000
χ56444444-4-4-4-400-44-4400000000000-44-44000000000000000000-2002-202000000002-22-2000000000000000000000000
χ574444-4-444-4-4004-4-44000000000004-4-44000000000000000000200-2-20200000000-222-2000000000000000000000000
χ584444-4-444-4-4004-4-44000000000004-4-44000000000000000000-200220-2000000002-2-22000000000000000000000000
χ594444-4-444-4-4004-4-4400000000000-444-4000000000000000000200-2-202000000002-2-22000000000000000000000000
χ604444-4-444-4-4004-4-4400000000000-444-4000000000000000000-200220-200000000-222-2000000000000000000000000
χ614444-4-444-4-400-444-400000000000000004-4-4400000000000020-2-200200000-222-20000000000000000000000000000
χ624444-4-444-4-400-444-400000000000000004-4-44000000000000-202200-2000002-2-220000000000000000000000000000
χ634444-4-444-4-400-444-40000000000000000-444-400000000000020-2-2002000002-2-220000000000000000000000000000
χ644444-4-444-4-400-444-40000000000000000-444-4000000000000-202200-200000-222-20000000000000000000000000000
χ654444-4-4-4-4444-444-4-44-4000-44000000000000022-2-20000-2-222000000002-2-2200000000000000000000000000000000
χ664444-4-4-4-4444-444-4-44-4000-440000000000000-2-222000022-2-200000000-222-200000000000000000000000000000000
χ674444-4-4-4-444-4444-4-4-440004-4000000000000022-2-20000-2-22200000000-222-200000000000000000000000000000000
χ684444-4-4-4-444-4444-4-4-440004-40000000000000-2-222000022-2-2000000002-2-2200000000000000000000000000000000
χ6988-8-800008-80800000-8000000000000000000000000000000000000000000000000000000004i−4i0000000000000000
χ7088-8-800008-80800000-800000000000000000000000000000000000000000000000000000000−4i4i0000000000000000
χ7188-8-800008-80-800000800000000000000000000000000000000000000000000000000004-400000000000000000000
χ7288-8-800008-80-80000080000000000000000000000000000000000000000000000000000-4400000000000000000000
χ7388-8-80000-88800000-800000000000000000000000000000000000000000000000000000004i−4i000000000000000000
χ7488-8-80000-88800000-80000000000000000000000000000000000000000000000000000000−4i4i000000000000000000
χ7588-8-80000-88-80000080000000000000000000000000000000000000000000000000004-40000000000000000000000
χ7688-8-80000-88-8000008000000000000000000000000000000000000000000000000000-440000000000000000000000
χ778-88-88-800000000000000400004-40000-4000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ788-88-88-800000000000000400004-40000-400000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ798-88-88-800000000000000-40000-4400004000000000000000000000000000000000000000000002-2-222-2-2200000000
χ808-88-88-800000000000000-40000-440000400000000000000000000000000000000000000000000-222-2-222-200000000
χ818-88-8-880000000000000040000-440000-4000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ828-88-8-880000000000000040000-440000-400000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ838-88-8-8800000000000000-400004-400004000000000000000000000000000000000000000000002-2-22-222-200000000
χ848-88-8-8800000000000000-400004-40000400000000000000000000000000000000000000000000-222-22-2-2200000000
χ858-8-88008-800000000004-40004-400000000000000000004-44-400000000000000000000000000000000000000000000
χ868-8-88008-800000000004-40004-40000000000000000000-44-4400000000000000000000000000000000000000000000
χ878-8-88008-80000000000-44000-44000000000004-44-40000000000000000000000000000000000000000000000000000
χ888-8-88008-80000000000-44000-4400000000000-44-440000000000000000000000000000000000000000000000000000
χ898-8-8800-8800000000004-4000-4400000000000000000004-4-4400000000000000000000000000000000000000000000
χ908-8-8800-8800000000004-4000-440000000000000000000-444-400000000000000000000000000000000000000000000
χ918-8-8800-880000000000-440004-4000000000004-4-440000000000000000000000000000000000000000000000000000
χ928-8-8800-880000000000-440004-400000000000-444-40000000000000000000000000000000000000000000000000000

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