Finite Group Databasebeta

← Group #72281795

Character table — Group #72281795

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1122222444444444444488888888888888888888161616161616161616161616161616161616161616163232323232323232646464
order12244882222244444448224444444448888888882224444444444448881616161624161616161616448
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1
χ411111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111
χ511111111111111-1-1-1-111-1-11-111-1-1-111-1-111-1-11111-1-11-1-111111-1-1-1-11-1-111111111-1-1-1-11-1-1
χ611111111111111-1-1-1-111-1-11-111-1-1-111-1-111-1-11111-1-11-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-111
χ711111111111111-1-1-1-111-1-11-111-1-1-1-1-1-1-111-1-1111-111-111-1-1-1-1-111111-1-11111-1-111-1-1-1-1-111
χ811111111111111-1-1-1-111-1-11-111-1-1-1-1-1-1-111-1-1111-111-111-1-1-1-1-111111-1-1-1-1-1-111-1-111111-1-1
χ911111111-1-1111111-1-1111-1-1-1-1-111-111-1-1-1-111111-11-1-11-1111-1-111-1-1-11-1111111-1-111-1-1-11-1
χ1011111111-1-1111111-1-1111-1-1-1-1-111-111-1-1-1-111111-11-1-11-1111-1-111-1-1-11-1-1-1-1-1-1-111-1-1111-11
χ1111111111-1-1111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1111111-111-11-1-1-111-1-111-11-11111-1-1-1-111-1-11-11
χ1211111111-1-1111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1111111-111-11-1-1-111-1-111-11-1-1-1-1-11111-1-111-11-1
χ1311111111-1-11111-1-11111-11-11-1-1-1-111111-1-1-1-1111-1-11-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-11
χ1411111111-1-11111-1-11111-11-11-1-1-1-111111-1-1-1-1111-1-11-1-11111-1-1-1-111-1-11-1-1-1-1-1-11111-1-111-1
χ1511111111-1-11111-1-11111-11-11-1-1-1-11-1-111-1-1-1-111111-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11111-1
χ1611111111-1-11111-1-11111-11-11-1-1-1-11-1-111-1-1-1-111111-111-1-1-1-11111-1-1-1-11-1-1-1-1111111-1-1-1-11
χ172222222200-2-2-2-20022220-20-200002222200002-2-20020022-2-20000-2-200-2000000000000000
χ182222222200-2-2-2-20022220-20-200002-2-22200002-2-200-200-2-22200002200-2000000000000000
χ192222222200-2-2-2-200-2-22202020000-222-2-200002-2-200-200-22-2-2000022002000000000000000
χ202222222200-2-2-2-200-2-22202020000-2-2-2-2-200002-2-2002002-2220000-2-2002000000000000000
χ212222222-2002-22-22200-22200000-2-2022000022-22-20-200-20-22-20022000-20000000000000000
χ222222222-2002-22-22200-22200000-2-20-2-2000022-22-20200202-2200-2-2000-20000000000000000
χ232222222-2002-22-2-2-200-22-200000220220000-2-2-22-2020020-22-200-2-200020000000000000000
χ242222222-2002-22-2-2-200-22-200000220-2-20000-2-2-22-20-200-202-22002200020000000000000000
χ252222222-222-22-220000-220020-2-200022002200-2-22-200-200-2-22220000-200000000000000000
χ262222222-222-22-220000-220020-2-2000-2-2002200-2-2220020022-2-2-20000-200000000000000000
χ272222222-2-2-2-22-220000-2200-20220002200-2-200-2-22200200-2-22-2-20000200000000000000000
χ282222222-2-2-2-22-220000-2200-2022000-2-200-2-200-2-22-200-20022-2220000200000000000000000
χ2922222-2-2200-2-2-2-200222-20-20-20000200-2-20000-2222-20-2200002-22-200002000000000000000
χ3022222-2-2200-2-2-2-200222-20-20-20000200-2-20000-222-2202-20000-22-2200002000000000000000
χ3122222-2-2200-2-2-2-200-2-22-202020000-200220000-222220-2-200002-2-220000-2000000000000000
χ3222222-2-2200-2-2-2-200-2-22-202020000-200220000-222-2-20220000-222-20000-2000000000000000
χ3322222-2-2222222222222-222222222200-2-2-2-2-2-2-2-2-2000000000000000-2-2-2000000000000000
χ3422222-2-22222222-2-2-2-22-2-2-22-222-2-2-20022-2-222-2-2-2000000000000000-222000000000000000
χ3522222-2-22-2-2222222-2-22-22-2-2-2-2-222-2002222-2-2-2-2-20000000000000002-22000000000000000
χ3622222-2-22-2-22222-2-2222-2-22-22-2-2-2-2200-2-22222-2-2-200000000000000022-2000000000000000
χ3722222-2-2-2002-22-22200-2-2200000-2-20000000-2-22-2220-2-202000-22002-2020000000000000000
χ3822222-2-2-2002-22-22200-2-2200000-2-20000000-2-22-22-20220-20002-200-22020000000000000000
χ3922222-2-2-2002-22-2-2-200-2-2-200000220000000222-22202-20-2000-2200-220-20000000000000000
χ4022222-2-2-2002-22-2-2-200-2-2-200000220000000222-22-20-22020002-2002-20-20000000000000000
χ4122222-2-2-222-22-220000-2-20020-2-20000000-2-20022-20220-2-2000002-22-2200000000000000000
χ4222222-2-2-222-22-220000-2-20020-2-20000000-2-20022-20-2-202200000-22-22200000000000000000
χ4322222-2-2-2-2-2-22-220000-2-200-20220000000220022-202-20-22000002-2-22-200000000000000000
χ4422222-2-2-2-2-2-22-220000-2-200-20220000000220022-20-2202-200000-222-2-200000000000000000
χ45222-2-200-22222-2-2222220-2-2-222-22-2-20000000000000000000000000000022−2−2002−22−22−2000
χ46222-2-200-22222-2-2222220-2-2-222-22-2-200000000000000000000000000000−2−22200−22−22−22000
χ47222-2-200-22222-2-2-2-2-2-22022-2-22-2-2220000000000000000000000000000022−2−2002−2−22−22000
χ48222-2-200-22222-2-2-2-2-2-22022-2-22-2-22200000000000000000000000000000−2−22200−222−22−2000
χ49222-2-200-2-2-222-2-222-2-220-222-2-222-220000000000000000000000000000022−2−200−222−2−22000
χ50222-2-200-2-2-222-2-222-2-220-222-2-222-2200000000000000000000000000000−2−222002−2−222−2000
χ51222-2-200-2-2-222-2-2-2-222202-222-22-22-20000000000000000000000000000022−2−200−22−222−2000
χ52222-2-200-2-2-222-2-2-2-222202-222-22-22-200000000000000000000000000000−2−222002−22−2−22000
χ53444-4-4004004-4-444400-40-400000-44000000000000000000000000000000000000000000000
χ54444-4-4004004-4-44-4-400-404000004-4000000000000000000000000000000000000000000000
χ55444-4-400444-444-40000-4000-40-4400000000000000000000000000000000000000000000000
χ56444-4-4004-4-4-444-40000-4000404-400000000000000000000000000000000000000000000000
χ57444-4-400-400-4-444004440040-40000-400000000000000000000000000000000000000000000
χ58444-4-400-400-4-44400-4-4400-4040000400000000000000000000000000000000000000000000
χ5944-4-44-4-400000000000040000000004i−4i0000000000000000000000000002i−2i2i−2i2-2000000000
χ6044-4-44-4-400000000000040000000004i−4i000000000000000000000000000−2i2i−2i2i-22000000000
χ6144-4-44-4-40000000000004000000000−4i4i0000000000000000000000000002i−2i2i−2i-22000000000
χ6244-4-44-4-40000000000004000000000−4i4i000000000000000000000000000−2i2i−2i2i2-2000000000
χ6388-88-8000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ6488-88-800000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ6588-8-8888000000000000-800000000000000000000000000000000000000000000000000000
χ668-80004i2−4i204-400004i−4i4i−4i000000000000022−222i2−2i222−22000000000000000000000000000000000000
χ678-80004i2−4i204-40000−4i4i−4i4i0000000000000−22222i2−2i2−2222000000000000000000000000000000000000
χ688-80004i2−4i20-4400004i−4i−4i4i0000000000000−2222−2i22i222−22000000000000000000000000000000000000
χ698-80004i2−4i20-440000−4i4i4i−4i000000000000022−22−2i22i2−2222000000000000000000000000000000000000
χ708-8000−4i24i204-400004i−4i4i−4i0000000000000−2222−2i22i2−2222000000000000000000000000000000000000
χ718-8000−4i24i204-40000−4i4i−4i4i000000000000022−22−2i22i222−22000000000000000000000000000000000000
χ728-8000−4i24i20-4400004i−4i−4i4i000000000000022−222i2−2i2−2222000000000000000000000000000000000000
χ738-8000−4i24i20-440000−4i4i4i−4i0000000000000−22222i2−2i222−22000000000000000000000000000000000000

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