Finite Group Databasebeta

← Group #72240179

Character table — Group #72240179

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222224444448888888888888888888161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232646464646464646464646464
order12222222222222222222222222244444444222222444444444444444424444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111-1-111-1-1111111111-1-111-1-1-11-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-11111-1-111-1-1111111-1-11-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-11-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-11-11-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-11111-11-1-1-11-1-11-11111111-1-1-1-111-1-1-1-1
χ811111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-11-11-1-1-11-1-11-11-1-1-1-1-1-11111-1-11111
χ911111111111111111111-1-1-1-111111111111-1-111-1-1-1-11111111111-1-1-1-111-11-111-1-11-11-1-1-1-11-11-1-1-1-1-1-111-1-11111-1-1
χ1011111111111111111111-1-1-1-111111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-11-1-1-1-1-11-11-1-1-1-11-11111111-1-111-1-1-1-111
χ1111111111111111111111-1-1-1-111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111111-1-1-111-11-11-1-1-1-1-11111-1-1-1-1-1-111
χ1211111111111111111111-1-1-1-111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-111-11-11-11111-1-1-1-1111111-1-1
χ1311111111111111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111111-111111-1-111-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ1411111111111111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-11-1-111-111-1-1-1-11111-1-111-1-111-1-111
χ1511111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1111-11-111111-1-1-1-1-1-1-1-11111-1-111
χ1611111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-11-11111111111111-1-1-1-111-1-1
χ17222222222222222222-2-222222-2-2-2-20000-2-2220022-2-20000002200000000-20200-20-2000-20020-20000000000000000
χ18222222222222222222-2-222222-2-2-2-20000-2-22200-2-2-2-2000000-2-200000000-20-200202000200-2020000000000000000
χ19222222222222222222-2-2-2-2-2-22-2-2-2-20000-2-2-2-2002222000000-2-20000000020200-202000-200-2020000000000000000
χ20222222222222222222-2-2-2-2-2-22-2-2-2-20000-2-2-2-200-2-222000000220000000020-20020-200020020-20000000000000000
χ212222222222222-2-22-2-2222222-222-2-22222-2-2-2-2000022-2-200-2-20022222200-20000000-2000-200000000000000000000
χ222222222222222-2-22-2-2222222-222-2-2-2-2-2-2-2-2-2-200002222002200-2-2-2-2-2-200-200000002000200000000000000000000
χ232222222222222-2-22-2-222-2-2-2-2-222-2-22222-2-2220000-2-2-2-200-2-20022-2-2-2-200200000002000200000000000000000000
χ242222222222222-2-22-2-222-2-2-2-2-222-2-2-2-2-2-2-2-2220000-2-222002200-2-222220020000000-2000-200000000000000000000
χ252222222222222-2-22-2-2-2-22222-2-2-222000022-2-22200-2-200-2-2000000000000220000-200-220020-200000000000000000
χ262222222222222-2-22-2-2-2-22222-2-2-222000022-2-2-2-200-2-200220000000000002-200002002-200-20200000000000000000
χ272222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2220000222222002200-2-2000000000000-220000200-2-200-20200000000000000000
χ282222222222222-2-22-2-2-2-2-2-2-2-2-2-2-22200002222-2-200220022000000000000-2-20000-200220020-200000000000000000
χ292222222222-2-2-222-22-22-20000-22-22-200002-200222200002200000022-2-2000-2-200200-2-20-2200000000000000000000
χ302222222222-2-2-222-22-22-20000-22-22-200002-20022-2-2000022000000-2-222000-2200-2002-202-200000000000000000000
χ312222222222-2-2-222-22-22-20000-22-22-200002-200-2-2220000-2-2000000-2-2220002-200200220-2-200000000000000000000
χ322222222222-2-2-222-22-22-20000-22-22-200002-200-2-2-2-20000-2-200000022-2-20002200-200-2202200000000000000000000
χ332222222222-2-2-222-22-2-220000-2-22-222222-2200002200-2-2002200-2-200000000-200-2-2000-22020200000000000000000
χ342222222222-2-2-222-22-2-220000-2-22-222222-220000-2-200-2-2002200-2-200000000200220002-20-20-200000000000000000
χ352222222222-2-2-222-22-2-220000-2-22-22-2-2-2-2-22000022002200-2-2002200000000-200-22000220-20-200000000000000000
χ362222222222-2-2-222-22-2-220000-2-22-22-2-2-2-2-220000-2-2002200-2-20022000000002002-2000-2-2020200000000000000000
χ372222222222-2-2-2-2-2-2-222-2000022-2-220000-2200000000000000220022-2-200000000-2-22020-2-2-2220000000000000000
χ382222222222-2-2-2-2-2-2-222-2000022-2-220000-22000000000000002200-2-222000000002-2-20-2022-2-220000000000000000
χ392222222222-2-2-2-2-2-2-222-2000022-2-220000-2200000000000000-2-20022-2-2000000002220-20-222-2-20000000000000000
χ402222222222-2-2-2-2-2-2-222-2000022-2-220000-2200000000000000-2-200-2-22200000000-22-20202-222-20000000000000000
χ412222222222-2-2-2-2-2-2-22-2200002-222-222222-20022000022-2-2-2-2-2-2-2-20000000-200000-20200002020000000000000000
χ422222222222-2-2-2-2-2-2-22-2200002-222-222222-200-2-200002222-2-222-2-2000000020000020-20000-20-20000000000000000
χ432222222222-2-2-2-2-2-2-22-2200002-222-2-2-2-2-22-200220000-2-2-2-22222220000000-2000002020000-20-20000000000000000
χ442222222222-2-2-2-2-2-2-22-2200002-222-2-2-2-2-22-200-2-20000-2-22222-2-2220000000200000-20-200002020000000000000000
χ4522222-22-2-2-222-222-2-2-2-22000022-2222i2i−2i−2i-2-2000000002i−2i002i−2i002i−2i0000000000000000000000000002-2000000002i−2i
χ4622222-22-2-2-222-222-2-2-2-22000022-2222i2i−2i−2i-2-2000000002i−2i002i−2i002i−2i000000000000000000000000000-2200000000−2i2i
χ4722222-22-2-2-222-222-2-2-2-22000022-222−2i−2i2i2i-2-200000000−2i2i00−2i2i00−2i2i0000000000000000000000000002-200000000−2i2i
χ4822222-22-2-2-222-222-2-2-2-22000022-222−2i−2i2i2i-2-200000000−2i2i00−2i2i00−2i2i000000000000000000000000000-22000000002i−2i
χ4922222-22-2-2-222-2-2-2-222-220000-22-2-2-22i2i−2i−2i2200000000−2i2i00−2i2i002i−2i0000000000000000000000000000000002i−2i2-200
χ5022222-22-2-2-222-2-2-2-222-220000-22-2-2-22i2i−2i−2i2200000000−2i2i00−2i2i002i−2i000000000000000000000000000000000−2i2i-2200
χ5122222-22-2-2-222-2-2-2-222-220000-22-2-2-2−2i−2i2i2i22000000002i−2i002i−2i00−2i2i0000000000000000000000000000000002i−2i-2200
χ5222222-22-2-2-222-2-2-2-222-220000-22-2-2-2−2i−2i2i2i22000000002i−2i002i−2i00−2i2i000000000000000000000000000000000−2i2i2-200
χ5322222-22-2-2-2-2-22222-22220000-2-2-2-222i2i−2i−2i2-200000000−2i2i002i−2i00−2i2i00002-20002-20000000000000000002i−2i00000000
χ5422222-22-2-2-2-2-22222-22220000-2-2-2-222i2i−2i−2i2-200000000−2i2i002i−2i00−2i2i0000-22000-22000000000000000000−2i2i00000000
χ5522222-22-2-2-2-2-22222-22220000-2-2-2-22−2i−2i2i2i2-2000000002i−2i00−2i2i002i−2i00002-20002-2000000000000000000−2i2i00000000
χ5622222-22-2-2-2-2-22222-22220000-2-2-2-22−2i−2i2i2i2-2000000002i−2i00−2i2i002i−2i0000-22000-220000000000000000002i−2i00000000
χ5722222-22-2-2-2-2-22-2-222-22200002-2-22-22i2i−2i−2i-22000000002i−2i00−2i2i00−2i2i0000000000000000000000022-2-200002i−2i000000
χ5822222-22-2-2-2-2-22-2-222-22200002-2-22-22i2i−2i−2i-22000000002i−2i00−2i2i00−2i2i00000000000000000000000-2-2220000−2i2i000000
χ5922222-22-2-2-2-2-22-2-222-22200002-2-22-2−2i−2i2i2i-2200000000−2i2i002i−2i002i−2i0000000000000000000000022-2-20000−2i2i000000
χ6022222-22-2-2-2-2-22-2-222-22200002-2-22-2−2i−2i2i2i-2200000000−2i2i002i−2i002i−2i00000000000000000000000-2-22200002i−2i000000
χ6144444-44-4-4-444-444-4-4-44-400004-44-4-4000044000000000000000000000000000000000000000000000000000000000
χ6244444-44-4-4-444-4-4-4-4444-40000-4-44440000-4-4000000000000000000000000000000000000000000000000000000000
χ6344444-44-4-4-4-4-44444-44-4-40000-4444-40000-44000000000000000000000000000000000000000000000000000000000
χ6444444-44-4-4-4-4-44-4-444-4-4-40000444-4400004-4000000000000000000000000000000000000000000000000000000000
χ654444-44-4-4-444-4-400400000000000000000000000004-40000000000000022000-2-20000000000002-22-2000000000000
χ664444-44-4-4-444-4-400400000000000000000000000004-400000000000000-2-200022000000000000-22-22000000000000
χ674444-44-4-4-444-4-40040000000000000000000000000-440000000000000022000-2-2000000000000-22-22000000000000
χ684444-44-4-4-444-4-40040000000000000000000000000-4400000000000000-2-2000220000000000002-22-2000000000000
χ694444-4-4-444-4-44-4004000044-4-40000000000000000000000000000000002-2000-220000000000002-2-22000000000000
χ704444-4-4-444-4-44-4004000044-4-4000000000000000000000000000000000-220002-2000000000000-222-2000000000000
χ714444-4-4-444-4-44-40040000-4-4440000000000000000000000000000000002-2000-22000000000000-222-2000000000000
χ724444-4-4-444-4-44-40040000-4-444000000000000000000000000000000000-220002-20000000000002-2-22000000000000
χ738888-88-8-8-88-88800-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ748888-8-8-888-88-8800-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ7588-8-808000-800000000004-44-4000004i−4i4i−4i00000000000000000000004i−4i00000000000000000000000000000000000
χ7688-8-808000-800000000004-44-400000−4i4i−4i4i0000000000000000000000−4i4i00000000000000000000000000000000000
χ7788-8-808000-80000000000-44-44000004i−4i4i−4i0000000000000000000000−4i4i00000000000000000000000000000000000
χ7888-8-808000-80000000000-44-4400000−4i4i−4i4i00000000000000000000004i−4i00000000000000000000000000000000000
χ7988-8-80-8000800000000004-4-44000004-4-44000000000000000000004-40000000000000000000000000000000000000
χ8088-8-80-8000800000000004-4-4400000-444-400000000000000000000-440000000000000000000000000000000000000
χ8188-8-80-800080000000000-444-4000004-4-4400000000000000000000-440000000000000000000000000000000000000
χ8288-8-80-800080000000000-444-400000-444-4000000000000000000004-40000000000000000000000000000000000000
χ838-88-8000-88000000000000000000000000004-4004-4000000004-400000000000000000000000000000000000000000
χ848-88-8000-88000000000000000000000000004-400-4400000000-4400000000000000000000000000000000000000000
χ858-88-8000-8800000000000000000000000000-44004-400000000-4400000000000000000000000000000000000000000
χ868-88-8000-8800000000000000000000000000-4400-44000000004-400000000000000000000000000000000000000000
χ878-8-88-8080000008-800000000000000000000004-40000004-4000000000000000000000000000000000000000000000
χ888-8-88-8080000008-80000000000000000000000-44000000-44000000000000000000000000000000000000000000000
χ898-8-88-808000000-8800000000000000000000004-4000000-44000000000000000000000000000000000000000000000
χ908-8-88-808000000-880000000000000000000000-440000004-4000000000000000000000000000000000000000000000
χ9116-1616-1600016-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9216-16-1616160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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