Finite Group Databasebeta

← Group #72339023

Character table — Group #72339023

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1122244444444888161616161616161616161616161616163232323232323232323232323232323232323232323232323232646464646464128128128128
order12222224444444442222222444448888222444444444448888888888884888884488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-11-1111111111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111
χ511111111111111111-1-1-1-11111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-11111111-1-1-1-111-11-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111111-1-111
χ811111111111111111-1-1-1-11111111-1-1-1-11-11-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1
χ91111111-1-11111-111-111-1-111-11-1111111-11-11-11-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11-11-1
χ101111111-1-11111-111-111-1-111-11-1111111-1-11-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-11-11
χ111111111-1-11111-111-111-1-111-11-111-1-1-1-1-111111-1-111-1-111-1-11111-1-1-1-1-1-11-1-1-1111-1-11
χ121111111-1-11111-111-111-1-111-11-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111111111-11-1-111-111-1
χ131111111-1-11111-111-1-1-11111-11-1111111-11-11-1-11-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-11-11
χ141111111-1-11111-111-1-1-11111-11-1111111-1-11-11-11-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1111-11-1
χ151111111-1-11111-111-1-1-11111-11-111-1-1-1-1-11111-11-1-1-11111-1-11111-1-1-1-1-1-11-111-1-1-111-1
χ161111111-1-11111-111-1-1-11111-11-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111111111-1111-1-11-1-11
χ17222222200-2-2-2-20-2-2000222-20202-22i2i−2i−2i0000002000-2-2002i−2i000000000000002i−2i0000
χ18222222200-2-2-2-20-2-2000222-20202-2−2i−2i2i2i0000002000-2-200−2i2i00000000000000−2i2i0000
χ19222222200-2-2-2-20-2-2000-2-22-20202-22i2i−2i−2i000000-200022002i−2i00000000000000−2i2i0000
χ20222222200-2-2-2-20-2-2000-2-22-20202-2−2i−2i2i2i000000-20002200−2i2i000000000000002i−2i0000
χ21222222200-2-2-2-20-2-202200-22020-222i2i−2i−2i00000200-2-20000−2i2i0000000000002i−2i000000
χ22222222200-2-2-2-20-2-202200-22020-22−2i−2i2i2i00000200-2-200002i−2i000000000000−2i2i000000
χ23222222200-2-2-2-20-2-20-2-200-22020-222i2i−2i−2i00000-200220000−2i2i000000000000−2i2i000000
χ24222222200-2-2-2-20-2-20-2-200-22020-22−2i−2i2i2i00000-2002200002i−2i0000000000002i−2i000000
χ25222222222222222220000-2-2222-2-22222-2000000-2000000-2-222-2-20000000000000000
χ26222222222222222220000-2-2222-2-2-2-2-2-2-2000000-200000022-2-2220000000000000000
χ2722222222222222-2-2-2000022-2-22-2-200002202000-20000-2-2000000-2-200000200000000
χ2822222222222222-2-2-2000022-2-22-2-200002-20-2000-20000220000002200000-200000000
χ2922222222222222-2-2-20000-2-2-2-22220000-202020020000000000000022-2-2-2000000000
χ3022222222222222-2-2-20000-2-2-2-22220000-20-20-200200000000000000-2-2222000000000
χ312222222-2-22222-222-20000-2-2-22-2-2-2222220000002000000-2-2-2-2220000000000000000
χ322222222-2-22222-222-20000-2-2-22-2-2-2-2-2-2-2200000020000002222-2-20000000000000000
χ332222222-2-22222-2-2-220000222-2-2-2-20000-220200020000-2-20000002200000-200000000
χ342222222-2-22222-2-2-220000222-2-2-2-20000-2-20-20002000022000000-2-200000200000000
χ352222222-2-22222-2-2-220000-2-22-2-22200002020200-200000000000000-2-222-2000000000
χ362222222-2-22222-2-2-220000-2-22-2-222000020-20-200-20000000000000022-2-22000000000
χ37444444400-4-4-4-4044000004-40-40-440000000000000000000000000000000000000000
χ38444444400-4-4-4-404400000-440-404-40000000000000000000000000000000000000000
χ3944444-4-40044-4-40004222200-40000000000000-2-202-22-2000000000000000000000000
χ4044444-4-40044-4-40004-2-2-2-200-40000000000000220-22-22000000000000000000000000
χ4144444-4-40044-4-4000-422-2-20040000000000000-2202-2-22000000000000000000000000
χ4244444-4-40044-4-4000-4-2-22200400000000000002-20-222-2000000000000000000000000
χ4344444-4-444-4-444400022220000-400000000000-2-20-22-22000000000000000000000000
χ4444444-4-444-4-4444000-2-2-2-20000-4000000000002202-22-2000000000000000000000000
χ4544444-4-4-4-4-4-444-400022-2-20000400000000000-220-222-2000000000000000000000000
χ4644444-4-4-4-4-4-444-4000-2-22200004000000000002-202-2-22000000000000000000000000
χ47444-4-44-400000004i−4i0000000000002+2i−2−2i2−2i−2+2i020-2000000002i−2i000000002i−2i2-20000000000
χ48444-4-44-400000004i−4i0000000000002+2i−2−2i2−2i−2+2i0-20200000000−2i2i00000000−2i2i-220000000000
χ49444-4-44-400000004i−4i000000000000−2−2i2+2i−2+2i2−2i020-2000000002i−2i00000000−2i2i-220000000000
χ50444-4-44-400000004i−4i000000000000−2−2i2+2i−2+2i2−2i0-20200000000−2i2i000000002i−2i2-20000000000
χ51444-4-44-40000000−4i4i0000000000002−2i−2+2i2+2i−2−2i020-200000000−2i2i00000000−2i2i2-20000000000
χ52444-4-44-40000000−4i4i0000000000002−2i−2+2i2+2i−2−2i0-202000000002i−2i000000002i−2i-220000000000
χ53444-4-44-40000000−4i4i000000000000−2+2i2−2i−2−2i2+2i020-200000000−2i2i000000002i−2i-220000000000
χ54444-4-44-40000000−4i4i000000000000−2+2i2−2i−2−2i2+2i0-202000000002i−2i00000000−2i2i2-20000000000
χ55888-8-8-88000000000000000000000000000000000000000004-4000000000000000000
χ56888-8-8-8800000000000000000000000000000000000000000-44000000000000000000
χ5788-88-80000008-800000000000000000000000000000000000004-40000000000000000
χ5888-88-80000008-80000000000000000000000000000000000000-440000000000000000
χ5988-88-8008800-88-8000000000000000000000000000000000000000000000000000000
χ6088-88-800-8-800-888000000000000000000000000000000000000000000000000000000
χ6188-8-8800008-8000000000000000000000000000000000000000004-400000000000000
χ6288-8-8800008-800000000000000000000000000000000000000000-4400000000000000
χ6388-8-880000-880000000000000000000000040-40000000000000000000000000000000
χ6488-8-880000-8800000000000000000000000-4040000000000000000000000000000000
χ6516-16000008-8000000004-44-400000000000000000000000000000000000000000000000
χ6616-16000008-800000000-44-4400000000000000000000000000000000000000000000000
χ6716-1600000-88000000004-4-4400000000000000000000000000000000000000000000000
χ6816-1600000-8800000000-444-400000000000000000000000000000000000000000000000

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