Finite Group Databasebeta

← Group #72339620

Character table — Group #72339620

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222224444444444448888161616161616161616161616161632323232323232323232323232323232323232323232323232326464646464646464646464646464
order12222222222222444444442222222222444444442244444444444488888888888844444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ9222222222222222222222222222222222222-2-2-2-200-2000000-20000-2-2-2-20000000000000000000000
χ102222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200-2000000-2000022220000000000000000000000
χ112222222222222222222222-2-2-2-2-2-20000000022-2-2002000000-2222200000000-2-2-2-200000000000000
χ122222222222222222222222-2-2-2-2-2-20000000022-2-2002000000-2-2-2-2-200000000222200000000000000
χ132222222222222222222222-2-2-2-2-2-200000000-2-22222-2002200200000000-2-2-2-2000000000000000000
χ142222222222222222222222-2-2-2-2-2-200000000-2-222-2-2-200-2-2002000000002222000000000000000000
χ152222222222-2-2-2-222-2-2-222-22222-2-20000000022-2-200-2000000200000000000000000022-2-200000000
χ162222222222-2-2-2-222-2-2-222-22222-2-20000000022-2-200-20000002000000000000000000-2-22200000000
χ172222222222-2-2-2-222-2-2-222-22222-2-200000000-2-2220022200-2-2-20000000000000000-22000000000000
χ182222222222-2-2-2-222-2-2-222-22222-2-200000000-2-222002-2-20022-200000000000000002-2000000000000
χ192222222222-2-2-2-222-2-2-222-2-2-2-2-22200000000222200-2000000-2000000000000000000000022-2-20000
χ202222222222-2-2-2-222-2-2-222-2-2-2-2-22200000000222200-2000000-20000000000000000000000-2-2220000
χ212222222222-2-2-2-222-2-2-222-2-2-2-2-22200000000-2-2-2-20020000002000000000000000000000000002i2i−2i−2i
χ222222222222-2-2-2-222-2-2-222-2-2-2-2-22200000000-2-2-2-2002000000200000000000000000000000000−2i−2i2i2i
χ232-2-22222-2-2-222-2-22-222-22-2-2-2-2222-2000000000000000000000000002i2i−2i−2i00000000000000i2−i2i2−i22−22−2
χ242-2-22222-2-2-222-2-22-222-22-2-2-2-2222-2000000000000000000000000002i2i−2i−2i00000000000000−i2i2−i2i2−22−22
χ252-2-22222-2-2-222-2-22-222-22-2-2-2-2222-200000000000000000000000000−2i−2i2i2i00000000000000i2−i2i2−i2−22−22
χ262-2-22222-2-2-222-2-22-222-22-2-2-2-2222-200000000000000000000000000−2i−2i2i2i00000000000000−i2i2−i2i22−22−2
χ272-2-22222-2-2-2-2-2222-2-2-222-2222-2-22-222-2-222-2-2000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ282-2-22222-2-2-2-2-2222-2-2-222-2222-2-22-222-2-222-2-2000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ292-2-22222-2-2-2-2-2222-2-2-222-2222-2-22-2-2-222-2-222000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ302-2-22222-2-2-2-2-2222-2-2-222-2222-2-22-2-2-222-2-222000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ3144444444444444-4-4-4-4-4-4-4-400000000000000000000022002200000000000000000-2-2000000000000
χ3244444444444444-4-4-4-4-4-4-4-4000000000000000000000-2-200-2-20000000000000000022000000000000
χ334444444444-4-4-4-4-4-4444-4-440000000000000000000002200-2-2000000000000000002-2000000000000
χ344444444444-4-4-4-4-4-4444-4-44000000000000000000000-2-2002200000000000000000-22000000000000
χ3544444-4-44-4-40000004-4-40040000002-22-22-22-2000000000000000000000022-2-222-2-200000000000000
χ3644444-4-44-4-40000004-4-40040000002-22-22-22-20000000000000000000000-2-222-2-22200000000000000
χ3744444-4-44-4-40000004-4-4004000000-22-22-22-22000000000000000000000022-2-2-2-22200000000000000
χ3844444-4-44-4-40000004-4-4004000000-22-22-22-220000000000000000000000-2-22222-2-200000000000000
χ394444-44-4-44-44-4-44000000000000002222-2-2-2-20000000000000022-2-200002-22-2000000000000000000
χ404444-44-4-44-44-4-44000000000000002222-2-2-2-200000000000000-2-2220000-22-22000000000000000000
χ414444-44-4-44-44-4-4400000000000000-2-2-2-222220000000000000022-2-20000-22-22000000000000000000
χ424444-44-4-44-44-4-4400000000000000-2-2-2-2222200000000000000-2-22200002-22-2000000000000000000
χ434444-4-44-4-4400004-4000-4400000002-22-2-22-22004-4000000000000002-22-20000000000000000000000
χ444444-4-44-4-4400004-4000-4400000002-22-2-22-2200-4400000000000000-22-220000000000000000000000
χ454444-4-44-4-4400004-4000-440000000-22-222-22-2004-400000000000000-22-220000000000000000000000
χ464444-4-44-4-4400004-4000-440000000-22-222-22-200-44000000000000002-22-20000000000000000000000
χ474444-4-44-4-440000-440004-404-44-40000000000000022000-2-2000000000002-2-22000000000000000000
χ484444-4-44-4-440000-440004-404-44-400000000000000-2-20002200000000000-222-2000000000000000000
χ494444-4-44-4-440000-440004-40-44-440000000000000022000-2-200000000000-222-2000000000000000000
χ504444-4-44-4-440000-440004-40-44-4400000000000000-2-200022000000000002-2-22000000000000000000
χ514-4-44444-4-4-444-4-44-444-44-4-444-4-4-440000000000000000000000000000000000000000000000000000
χ524-4-44444-4-4-444-4-4-44-4-44-44400000000000000000000000000000000000000000000002i−2i2i−2i00000000
χ534-4-44444-4-4-444-4-4-44-4-44-4440000000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ544-4-44444-4-4-4-4-4444-4-4-444-44-4-444-440000000000000000000000000000000000000000000000000000
χ554-4-44444-4-4-4-4-444-4444-4-44-400000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ564-4-44444-4-4-4-4-444-4444-4-44-40000000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ574-4-444-4-4-444000000-44-40040000002-2-222-2-2200002-20002-20002-22-200000000000000000000000000
χ584-4-444-4-4-444000000-44-40040000002-2-222-2-220000-22000-22000-22-2200000000000000000000000000
χ594-4-444-4-4-444000000-44-4004000000-222-2-222-200002-20002-2000-22-2200000000000000000000000000
χ604-4-444-4-4-444000000-44-4004000000-222-2-222-20000-22000-220002-22-200000000000000000000000000
χ614-4-44-44-44-44-44-440000000000000022-2-2-2-22200002-2000-220000000000000002-22-200000000000000
χ624-4-44-44-44-44-44-440000000000000022-2-2-2-2220000-220002-2000000000000000-22-2200000000000000
χ634-4-44-44-44-44-44-4400000000000000-2-22222-2-200002-2000-22000000000000000-22-2200000000000000
χ644-4-44-44-44-44-44-4400000000000000-2-22222-2-20000-220002-20000000000000002-22-200000000000000
χ654-4-44-4-4444-4000044000-4-400000002-2-22-222-24i−4i00000000000000002i−2i−2i2i0000000000000000000000
χ664-4-44-4-4444-4000044000-4-400000002-2-22-222-2−4i4i0000000000000000−2i2i2i−2i0000000000000000000000
χ674-4-44-4-4444-4000044000-4-40000000-222-22-2-224i−4i0000000000000000−2i2i2i−2i0000000000000000000000
χ684-4-44-4-4444-4000044000-4-40000000-222-22-2-22−4i4i00000000000000002i−2i−2i2i0000000000000000000000
χ694-4-44-4-4444-40000-4-40004404-4-440000000000000000000000002-2-22000000002-2-2200000000000000
χ704-4-44-4-4444-40000-4-40004404-4-44000000000000000000000000-222-200000000-222-200000000000000
χ714-4-44-4-4444-40000-4-4000440-444-40000000000000000000000002-2-2200000000-222-200000000000000
χ724-4-44-4-4444-40000-4-4000440-444-4000000000000000000000000-222-2000000002-2-2200000000000000
χ7388888-8-88-8-8000000-88800-80000000000000000000000000000000000000000000000000000000000
χ748888-88-8-88-8-888-8000000000000000000000000000000000000000000000000000000000000000000
χ758-8-888-8-8-8880000008-8800-80000000000000000000000000000000000000000000000000000000000
χ768-8-88-88-88-888-88-8000000000000000000000000000000000000000000000000000000000000000000
χ771616-16-160000000000000000000000000000000000000004i−4i00000000000000000000000000000000000
χ781616-16-16000000000000000000000000000000000000000−4i4i00000000000000000000000000000000000
χ7916-1616-1600000000000000000000000000000000000000000004-40000000000000000000000000000000
χ8016-1616-160000000000000000000000000000000000000000000-440000000000000000000000000000000

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