Finite Group Databasebeta

← Group #72339071

Character table — Group #72339071

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size112224444448816161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464128128128128128128128128256256256
order1222222444444222222224444444444422224444444448888888888888888224444444444888844444488488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1111-1-1
χ4111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ511111111111111-1-1-1-111111-1-1-1-111111-11-11-11-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-1-1111-1-1-111-1-111-11-1
χ611111111111111-1-1-1-111111-1-1-1-111111-11-11-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1111-111-1-111-1-11-11
χ711111111111111-1-1-1-111111-1-1-1-111111-1-111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111-11-1-1-1-11111-1-11
χ811111111111111-1-1-1-111111-1-1-1-111111-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-111111-1-1-1-111-1
χ911111111111-1-1111111111111111-1-1-11-1111-111111111-1-1-1-11111-1-11111-1-1-11111-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-111
χ1011111111111-1-1111111111111111-1-1-11-1111-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-11-1-11-1-1-1-1-1-1-1-11111111-1-1
χ1111111111111-1-1111111111111111-1-1-11-1-1-11-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-111-111-1-111111111-1-1-1-1-1
χ1211111111111-1-1111111111111111-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111-111-1-111-1-1-1-1-1-111111
χ1311111111111-1-11-1-1-1-111111-1-1-1-11-1-1-1111-1111-111-1-11111111111-1-1-1-1-1-111-1111-111-1-1-111-1-1-11-1-1-1-111-1-111-1
χ1411111111111-1-11-1-1-1-111111-1-1-1-11-1-1-1111-1111-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-1-111111-1-111-1-11
χ1511111111111-1-11-1-1-1-111111-1-1-1-11-1-1-111-1111-1111-1-1111111-1-1-1-1111111-1-1-1111-11-1111-1-1-1-11-1-1-111-1-1-1-11-11
χ1611111111111-1-11-1-1-1-111111-1-1-1-11-1-1-111-1111-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-11-111-1-11111-11-1
χ17222222222220022222222222222-2000-2000-200000-2-2-2-200000000220000-2-20000-200-2-2022002-200000000000
χ18222222222220022222222222222-2000-2000-200000-2-2-2-200000000-2-20000220000-200220-2-200-2200000000000
χ192222222222200222-2-22-2-2-2-222-2-2-2000-2022-20220022220000-2-2-2-200-2-2-2-2000000-20200200000000000000000
χ202222222222200222-2-22-2-2-2-222-2-2-2000-20-2-2-20-2-200222200002222002222000000-20-200-200000000000000000
χ2122222222222002-2-2222-2-2-2-2-2-222-2000-202-2-202-200-2-2220000-2-2-2-200222200000020200-200000000000000000
χ2222222222222002-2-2222-2-2-2-2-2-222-2000-20-22-20-2200-2-2220000222200-2-2-2-200000020-200200000000000000000
χ2322222222222002-2-2-2-222222-2-2-2-2-2000-2000-20000022-2-200000000220000220000200-2-20-2-2002200000000000
χ2422222222222002-2-2-2-222222-2-2-2-2-2000-2000-20000022-2-200000000-2-20000-2-200002002202200-2-200000000000
χ252222222222200-20000-22-22-20000-2000-2202220200002-222-2-20000-2-222-2-20000000-202-2-200002000000000000
χ262222222222200-20000-22-22-20000-2000-220-2220-200002-222-2-2000022-2-2220000000-20-2220000-2000000000000
χ272222222222200-20000-22-22-20000-2000-2-2022-20200002-2-2-22200002222-2-2000000020-22-20000-2000000000000
χ282222222222200-20000-22-22-20000-2000-2-20-22-20-200002-2-2-2220000-2-2-2-2220000000202-2200002000000000000
χ292222222222200-20000-2-22-220000-2000-222022200000-22-2-22222-2-2000000-2-200000-2-20002-2000200000000000
χ302222222222200-20000-2-22-220000-2000-22-2022-200000-22-2-222-2-2220000002200000-22000-22000-200000000000
χ312222222222200-20000-2-22-220000-2000-2-2202-2200000-2222-2-222-2-200000022000002-2000-22000-200000000000
χ322222222222200-20000-2-22-220000-2000-2-2-202-2-200000-2222-2-2-2-222000000-2-200000220002-2000200000000000
χ332222222222222222-2-22-2-2-2-222-2-222222-2002-20000-2-2-2-2222200000000000020002-2000000-2-20000000000000
χ3422222222222222-2-2222-2-2-2-2-2-2222222220022000022-2-2-2-2-2-20000000000002000-22000000-2-20000000000000
χ352222222222222-20000-22-22-2000022222020-20200000-220000-2-22222000000-200000-22-20002-2-2000000000000
χ362222222222222-20000-22-22-20000222220-20-20-200000-22000022-2-2-2-2000000-2000002-220002-22000000000000
χ372222222222222-20000-2-22-22000022222002-200200002-20000000000-2-22222-200000000-22-2-220-200000000000
χ382222222222222-20000-2-22-2200002222200-2-200-200002-2000000000022-2-2-2-2-2000000002-22-220200000000000
χ3922222222222-2-2222-2-22-2-2-2-222-2-22-2-2-22200220000-2-2-2-2-2-2-2-2000000000000-200022000000220000000000000
χ4022222222222-2-22-2-2222-2-2-2-2-2-2222-2-2-22-2002-2000022-2-22222000000000000-2000-2-2000000220000000000000
χ4122222222222-2-2-20000-22-22-200002-2-2-22020-20200000-220000-2-222-2-2000000200000-2-22000-222000000000000
χ4222222222222-2-2-20000-22-22-200002-2-2-220-20-20-200000-22000022-2-22200000020000022-2000-22-2000000000000
χ4322222222222-2-2-20000-2-22-2200002-2-2-22002-200200002-20000000000-2-222-2-2200000000-2-222-20200000000000
χ4422222222222-2-2-20000-2-22-2200002-2-2-2200-2-200-200002-2000000000022-2-22220000000022-22-20-200000000000
χ454444444-4-4-4-400-40000400000000000000000000224-400000000000000000002-2-20000000000002-2000000000
χ464444444-4-4-4-400-4000040000000000000000000022-4400000000000000000002-2-2000000000000-22000000000
χ474444444-4-4-4-400-40000400000000000000000000-2-24-40000000000000000000-222000000000000-22000000000
χ484444444-4-4-4-400-40000400000000000000000000-2-2-440000000000000000000-2220000000000002-2000000000
χ4944444-4-444-4-4000000000-4040000000000000000220000000000000000004i−4i0-22-200000000000000002i−2i00000
χ5044444-4-444-4-4000000000-404000000000000000022000000000000000000−4i4i0-22-20000000000000000−2i2i00000
χ5144444-4-444-4-4000000000-4040000000000000000-2-20000000000000000004i−4i02-220000000000000000−2i2i00000
χ5244444-4-444-4-4000000000-4040000000000000000-2-2000000000000000000−4i4i02-2200000000000000002i−2i00000
χ5344444-4-4-4-44400000000-40400000000000000000220000000000004i−4i0000000-2-22000000000000002i−2i0000000
χ5444444-4-4-4-44400000000-4040000000000000000022000000000000−4i4i0000000-2-2200000000000000−2i2i0000000
χ5544444-4-4-4-44400000000-40400000000000000000-2-20000000000004i−4i000000022-200000000000000−2i2i0000000
χ5644444-4-4-4-44400000000-40400000000000000000-2-2000000000000−4i4i000000022-2000000000000002i−2i0000000
χ578888888-8-8-8-80080000-8000000000000000000000000000000000000000000000000000000000000000000000
χ5888888-8-888-8-800000000080-800000000000000000000000000000000000000000000000000000000000000000
χ5988888-8-8-8-8880000000080-8000000000000000000000000000000000000000000000000000000000000000000
χ60888-8-800008-8000004-400000004-400000004000-400000000004-40000000000000000000000000000000000000
χ61888-8-800008-8000004-400000004-40000000-400040000000000-440000000000000000000000000000000000000
χ62888-8-800008-800000-440000000-4400000004000-40000000000-440000000000000000000000000000000000000
χ63888-8-800008-800000-440000000-440000000-4000400000000004-40000000000000000000000000000000000000
χ64888-8-80000-884404-400000004-40004-4-4000000000000004-400000000000000000000000000000000000000000
χ65888-8-80000-88440-440000000-440004-4-400000000000000-4400000000000000000000000000000000000000000
χ66888-8-80000-88-4-404-400000004-4000-44400000000000000-4400000000000000000000000000000000000000000
χ67888-8-80000-88-4-40-440000000-44000-444000000000000004-400000000000000000000000000000000000000000
χ6888-88-8008-800000004-40000000-440000004000-4000000000000000004-40000000000000000000000000000000
χ6988-88-8008-800000004-40000000-44000000-4000400000000000000000-440000000000000000000000000000000
χ7088-88-8008-80000000-4400000004-40000004000-400000000000000000-440000000000000000000000000000000
χ7188-88-8008-80000000-4400000004-4000000-40004000000000000000004-40000000000000000000000000000000
χ7288-88-800-88004404-40000000-44000-44-400000000000000004-4000000000000000000000000000000000000000
χ7388-88-800-8800440-4400000004-4000-44-40000000000000000-44000000000000000000000000000000000000000
χ7488-88-800-8800-4-404-40000000-440004-440000000000000000-44000000000000000000000000000000000000000
χ7588-88-800-8800-4-40-4400000004-40004-4400000000000000004-4000000000000000000000000000000000000000
χ7688-8-888-80000000440000000-4-4000000000000000000000000004-400004-400000000000000000000000000000
χ7788-8-888-80000000440000000-4-400000000000000000000000000-440000-4400000000000000000000000000000
χ7888-8-888-80000000-4-4000000044000000000000000000000000004-40000-4400000000000000000000000000000
χ7988-8-888-80000000-4-400000004400000000000000000000000000-4400004-400000000000000000000000000000
χ8088-8-88-88000044000440000000-4-40-4-4404000-4000000000000000000000000000000000000000000000000000
χ8188-8-88-88000044000-4-40000000440-4-440-40004000000000000000000000000000000000000000000000000000
χ8288-8-88-880000-4-4000440000000-4-4044-40-40004000000000000000000000000000000000000000000000000000
χ8388-8-88-880000-4-4000-4-4000000044044-404000-4000000000000000000000000000000000000000000000000000
χ8416-160000000008-800000000000000-4000400000004-40000000000000000000000000000000000000000002-2000
χ8516-160000000008-800000000000000-400040000000-44000000000000000000000000000000000000000000-22000
χ8616-16000000000-8800000000000000-4000400000004-4000000000000000000000000000000000000000000-22000
χ8716-16000000000-8800000000000000-400040000000-440000000000000000000000000000000000000000002-2000
χ8832-3200000000000000000000000008000-800000000000000000000000000000000000000000000000000000000

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