Finite Group Databasebeta

← Group #72338510

Character table — Group #72338510

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222444444448888816161616161616161616161616161616161616323232323232323232323232323232323232646464646464646464128128128128
order12222224444442244422222222444444444442244444444448888884444448884488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111-1-1-1-111-1-1-1-11111-11-1-1-1-1-1
χ31111111111111111111111-1-1111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1
χ41111111111111111111111-1-1111-1-111-1-1-1-1111-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-11111111111-1-1-1-1111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111
χ7111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-111
χ8111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111-1-111111111-1-1-111-1-1
χ91111111-1-1111111-1-1-111-1-11111111-1-1-1-1-1-111-1111-1-111-1-1-1-111-1-1-1-1-1111-1-1-1111-11-1
χ101111111-1-1111111-1-1-111-1-11111111-1-1-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1111-111-1-111-1-11-11
χ111111111-1-1111111-1-1-111-1-1-1-1111-1-1-1-1111111-1111-1-111-1-1-1-1-1-111111-1-1-111-1-111-1-11
χ121111111-1-1111111-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-11-1-111-1-1111111-1-1-11-1-1111-1-1-111-1
χ131111111-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-111-111-11-1-1-111-1-111-1-1-1-1-11-1-111-111-11-11
χ141111111-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1111-1-1-11111-11-11-1
χ151111111-1-1111111-1-1-1-1-111-1-1111-1-1-1-1111111-111-11-1-1-111-1-1-1-111111-111-1-1-1-11-111-1
χ161111111-1-1111111-1-1-1-1-111-1-1111-1-1-1-1111111-1-1-1-11-1-1-111111111-1-1-1111-1-11-1-11-1-11
χ17222222222222222222000022-2-2222222222-2-2-20000-200000000-2-2000000000-200000
χ182222222222222222220000-2-2-2-22-2-222-2-2-2-2-2-2-20000-20000000022000000000200000
χ192222222222222-2-22-2-200000022-2002-20000-2-222200-20000-2-200000000000020-20000
χ202222222222222-2-22-2-200000022-2002-20000-2-22-2-200-2000022000000000000-2020000
χ212222222222222-2-22-2-2000000-2-2-2002-2000022-2000020000002200-2-22-200000000000
χ222222222222222-2-22-2-2000000-2-2-2002-2000022-200002000000-2-20022-2200000000000
χ232222222-2-2222222-2-2-2000022-2-2222-2-2-2-2-2-2-2-22000020000000022000000000-200000
χ242222222-2-2222222-2-2-20000-2-2-2-22-2-2-2-22222-2-220000200000000-2-2000000000200000
χ252222222-2-22222-2-2-22200000022-200-220000-2-2-222002000022000000000000-20-20000
χ262222222-2-22222-2-2-22200000022-200-220000-2-2-2-2-20020000-2-20000000000002020000
χ272222222-2-22222-2-2-222000000-2-2-200-2200002220000-2000000220022-2-200000000000
χ282222222-2-22222-2-2-222000000-2-2-200-2200002220000-2000000-2-200-2-22200000000000
χ2922222-2-200-2-222220000022002-2-2000022-2-22-20000-20002-200002-200002-2000000000
χ3022222-2-200-2-222220000022002-2-20000-2-2222-20000-20002-20000-220000-22000000000
χ3122222-2-200-2-2222200000-2-2002-2-2000022-2-22-200002000-2200002-20000-22000000000
χ3222222-2-200-2-2222200000-2-2002-2-20000-2-2222-200002000-220000-2200002-2000000000
χ3322222-2-200-2-22222000220000-22-2000022-2-2-22000-2002-2000000-220000002-20000000
χ3422222-2-200-2-22222000220000-22-20000-2-222-22000-2002-20000002-2000000-220000000
χ3522222-2-200-2-22222000-2-20000-22-2000022-2-2-22000200-22000000-22000000-220000000
χ3622222-2-200-2-22222000-2-20000-22-20000-2-222-22000200-220000002-20000002-20000000
χ37444444400-4-4-4-40004422-2-200000000-40000000002-20-2-222000000000000000000000
χ38444444400-4-4-4-400044-2-22200000000-4000000000-22022-2-2000000000000000000000
χ39444444400-4-4-4-4000-4-42222000000004000000000220-2-2-2-2000000000000000000000
χ40444444400-4-4-4-4000-4-4-2-2-2-2000000004000000000-2-202222000000000000000000000
χ4144444-4-400-4-444-4-40000000004-4400000000-440000000000000000000000000000000
χ4244444-4-400-4-444-4-4000000000-444000000004-40000000000000000000000000000000
χ4344444-4-44444-4-40040022220000000-40000000000-2-20-22-22000000000000000000000
χ4444444-4-44444-4-400400-2-2-2-20000000-400000000002202-22-2000000000000000000000
χ4544444-4-4-4-444-4-400-40022-2-2000000040000000000-220-222-2000000000000000000000
χ4644444-4-4-4-444-4-400-400-2-2220000000400000000002-202-2-22000000000000000000000
χ47444-4-44-40000000004i−4i00002-20002-2002i−2i2i−2i0002-200000002i−2i2-2002i−2i0000000000000
χ48444-4-44-40000000004i−4i00002-20002-2002i−2i2i−2i000-220000000−2i2i-2200−2i2i0000000000000
χ49444-4-44-40000000004i−4i0000-22000-2200−2i2i−2i2i0002-200000002i−2i-2200−2i2i0000000000000
χ50444-4-44-40000000004i−4i0000-22000-2200−2i2i−2i2i000-220000000−2i2i2-2002i−2i0000000000000
χ51444-4-44-4000000000−4i4i00002-20002-200−2i2i−2i2i0002-20000000−2i2i2-200−2i2i0000000000000
χ52444-4-44-4000000000−4i4i00002-20002-200−2i2i−2i2i000-2200000002i−2i-22002i−2i0000000000000
χ53444-4-44-4000000000−4i4i0000-22000-22002i−2i2i−2i0002-20000000−2i2i-22002i−2i0000000000000
χ54444-4-44-4000000000−4i4i0000-22000-22002i−2i2i−2i000-2200000002i−2i2-200−2i2i0000000000000
χ55888-8-8-880000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ56888-8-8-88000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ5788-88-800008-80000000000044000-4-4000000000000000000000000000000000000000
χ5888-88-800008-800000000000-4-400044000000000000000000000000000000000000000
χ5988-88-80088-880000-80000000000000000000000000000000000000000000000000000
χ6088-88-800-8-8-88000080000000000000000000000000000000000000000000000000000
χ6188-8-880000008-80000000004-4000-44000000000000000000000000000000000000000
χ6288-8-880000008-8000000000-440004-4000000000000000000000000000000000000000
χ6388-8-88000000-888-800000000000000000000000000000000000000000000000000000
χ6488-8-88000000-88-8800000000000000000000000000000000000000000000000000000
χ6516-16000008-80000000004-44-40000000000000000000000000000000000000000000000
χ6616-16000008-8000000000-44-440000000000000000000000000000000000000000000000
χ6716-1600000-880000000004-4-440000000000000000000000000000000000000000000000
χ6816-1600000-88000000000-444-40000000000000000000000000000000000000000000000

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