Finite Group Databasebeta

← Group #72318267

Character table — Group #72318267

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size112224444448888881616161616161616161616161616163232323232323232323232323232323232323232646464646464646464128128128128
order12222224444224444222244444444444222444444444448888884444448884488
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-11111111-1-1-1-111-1-1-1-11111-11-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-11-1-1-1-11111111111-1-1-1-1111-1-1-1-1
χ411111111111111111111111111111111-1-1-11-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111
χ511111111111111111-1-1111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1
χ611111111111111111-1-1111-1-111-1-1-1-11111-11-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ711111111111111111-1-1111-1-111-1-1-1-111-1-1111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-111
χ811111111111111111-1-1111-1-111-1-1-1-111-1-1-11-1-1-11-1-1-1-1-1-111-1-111111111-1-1-111-1-1
χ91111111111111-1-1-1-11111111-1-1-1-1-1-1111-11-111-1-111-1-1-1-111-1-1-1-1-1111-1-1-1111-11-1
χ101111111111111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-1111-111-1-111-1-11-11
χ111111111111111-1-1-1-11111111-1-1-1-1-1-111-111-11-11-1-1-111-1-111-1-1-1-1-11-1-111-111-11-11
χ121111111111111-1-1-1-11111111-1-1-1-1-1-111-11-1-1-1-11-1-1-11111-1-1-1-1111-1-1-11111-11-11-1
χ131111111111111-1-1-1-1-1-1111-1-1-1-11111111-11-111-1-111-1-1-1-1-1-111111-1-1-111-1-111-1-11
χ141111111111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-11-1-111-1-1111111-1-1-11-1-1111-1-1-111-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1111111-111-11-11-1-1-111-1-1-1-111111-111-1-1-1-11-111-1
χ161111111111111-1-1-1-1-1-1111-1-1-1-1111111-11-1-1-1-11-1-1-111111111-1-1-1111-1-11-1-11-1-11
χ172222222222222222222-2-2222222222-2-2000-2000-200000000-2-2000000000-200000
χ1822222222222222222-2-2-2-22-2-222-2-2-2-2-2-2000-2000-20000000022000000000200000
χ192222222222222-2-2-2-222-2-2222-2-2-2-2-2-2-2-2000200020000000022000000000-200000
χ202222222222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-20002000200000000-2-2000000000200000
χ2122222222222-2-222-2-20022-2002-20000-2-20022200-20000-2-200000000000020-20000
χ2222222222222-2-222-2-20022-2002-20000-2-200-22-200-2000022000000000000-2020000
χ2322222222222-2-222-2-200-2-2-2002-2000022000-200020000002200-2-22-200000000000
χ2422222222222-2-222-2-200-2-2-2002-2000022000-20002000000-2-20022-2200000000000
χ2522222222222-2-2-2-2220022-200-220000-2-2002-22002000022000000000000-20-20000
χ2622222222222-2-2-2-2220022-200-220000-2-200-2-2-20020000-2-20000000000002020000
χ2722222222222-2-2-2-22200-2-2-200-220000220002000-2000000220022-2-200000000000
χ2822222222222-2-2-2-22200-2-2-200-220000220002000-2000000-2-200-2-22200000000000
χ2922222-2-2-2-222220000002-2-2000022-2-22-2020000-20002-200002-200002-2000000000
χ3022222-2-2-2-222220000002-2-2000022-2-22-20-200002000-2200002-20000-22000000000
χ3122222-2-2-2-222220000002-2-20000-2-2222-2020000-20002-20000-220000-22000000000
χ3222222-2-2-2-222220000002-2-20000-2-2222-20-200002000-220000-2200002-2000000000
χ3322222-2-2-2-22222000000-22-2000022-2-2-2220000-2002-2000000-220000002-20000000
χ3422222-2-2-2-22222000000-22-2000022-2-2-22-20000200-22000000-22000000-220000000
χ3522222-2-2-2-22222000000-22-20000-2-222-2220000-2002-20000002-2000000-220000000
χ3622222-2-2-2-22222000000-22-20000-2-222-22-20000200-220000002-20000002-20000000
χ374444444-4-4-4-400004400000000-40000002-20002-20-2-222000000000000000000000
χ384444444-4-4-4-400004400000000-4000000-22000-22022-2-2000000000000000000000
χ394444444-4-4-4-40000-4-400000000400000022000220-2-2-2-2000000000000000000000
χ404444444-4-4-4-40000-4-4000000004000000-2-2000-2-202222000000000000000000000
χ4144444-4-444-4-40044000000000-4000000022000-2-20-22-22000000000000000000000
χ4244444-4-444-4-40044000000000-40000000-2-20002202-22-2000000000000000000000
χ4344444-4-444-4-400-4-4000000000400000002-2000-220-222-2000000000000000000000
χ4444444-4-444-4-400-4-400000000040000000-220002-202-2-22000000000000000000000
χ4544444-4-4-4-444-4-40000004-4400000000-44000000000000000000000000000000000
χ4644444-4-4-4-444-4-4000000-444000000004-4000000000000000000000000000000000
χ47444-4-44-4000000004i−4i2-20002-2002i−2i2i−2i000020-200000002i−2i2-2002i−2i0000000000000
χ48444-4-44-4000000004i−4i2-20002-2002i−2i2i−2i0000-2020000000−2i2i-2200−2i2i0000000000000
χ49444-4-44-4000000004i−4i-22000-2200−2i2i−2i2i000020-200000002i−2i-2200−2i2i0000000000000
χ50444-4-44-4000000004i−4i-22000-2200−2i2i−2i2i0000-2020000000−2i2i2-2002i−2i0000000000000
χ51444-4-44-400000000−4i4i2-20002-200−2i2i−2i2i000020-20000000−2i2i2-200−2i2i0000000000000
χ52444-4-44-400000000−4i4i2-20002-200−2i2i−2i2i0000-20200000002i−2i-22002i−2i0000000000000
χ53444-4-44-400000000−4i4i-22000-22002i−2i2i−2i000020-20000000−2i2i-22002i−2i0000000000000
χ54444-4-44-400000000−4i4i-22000-22002i−2i2i−2i0000-20200000002i−2i2-200−2i2i0000000000000
χ55888-8-8-8800000000000000000004i−4i−4i4i00000000000000000000000000000000000
χ56888-8-8-880000000000000000000−4i4i4i−4i00000000000000000000000000000000000
χ5788-88-800008-80000004-4000-4400000000000000000000000000000000000000000
χ5888-88-800008-8000000-440004-400000000000000000000000000000000000000000
χ5988-88-80000-888-80000000000000000000000000000000000000000000000000000
χ6088-88-80000-88-880000000000000000000000000000000000000000000000000000
χ6188-8-88008-80000000044000-4-400000000000000000000000000000000000000000
χ6288-8-88008-800000000-4-40004400000000000000000000000000000000000000000
χ6388-8-8800-8800008-800000000000000000000000000000000000000000000000000
χ6488-8-8800-880000-8800000000000000000000000000000000000000000000000000
χ6532-32000000000000000000000000000000000000000000000000000000000000000

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