Finite Group Databasebeta

← Group #72334276

Character table — Group #72334276

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222244444444444444888888888888888888888888881616161616161616161616161616323232323232323232323232323232323232323232323232646464646464646464646464
order12222222222222222222222222222222222222222222222222222244444444444444244444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111-1-1-111-1-1-11111-1-1-111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1iiii−i−i−i−i-111-1-1ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i
χ10111111-1-1-111-1-1-11111-1-1-111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1iiii−i−i−i−i-1-1-111ii−i−i-1-11111-1-1iiii−i−i−i−i-1-111−i−iii−i−iii
χ11111111-1-1-111-1-1-11111-1-1-111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1−i−i−i−iiiii-111-1-1−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii
χ12111111-1-1-111-1-1-11111-1-1-111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1−i−i−i−iiiii-1-1-111−i−iii-1-11111-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i
χ13111111-1-1-111-1-1-11111-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1iiii−i−i−i−i-111-1-1ii−i−i11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i−i−iii
χ14111111-1-1-111-1-1-11111-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1iiii−i−i−i−i-1-1-111ii−i−i-1-111-1-111−i−i−i−iiiii11-1-1−i−iiiii−i−i
χ15111111-1-1-111-1-1-11111-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1−i−i−i−iiiii-111-1-1−i−iii11-1-1-1-111iiii−i−i−i−i-1-111−i−iiiii−i−i
χ16111111-1-1-111-1-1-11111-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1−i−i−i−iiiii-1-1-111−i−iii-1-111-1-111iiii−i−i−i−i11-1-1ii−i−i−i−iii
χ17222222222222222222222222222222-2-222222222222222222222-2-2-2-2-2-2-200000000-2000000000000-2-2-2-200000000000000000000
χ18222222222222222222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2000000000000222200000000000000000000
χ19222222222222222222222-2-2-2-2222-2-222-2-2-2-20000000000000000222-2-22-222222222-20000-2-2-2-20000000000000000000000000000
χ20222222222222222222222-2-2-2-2222-2-222-2-2-2-20000000000000000222-2-22-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000
χ21222222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000-2-2-222-22000000002000000000000000022-2-222-2-2000000000000
χ22222222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000-2-2-222-220000000020000000000000000-2-222-2-222000000000000
χ2322222222222222-2-2-2-22-2-222222-2-2-2-22222-2-2000000000000000022-22-2-2200000000-222220000-2-2-2-2000000000000000000000000
χ2422222222222222-2-2-2-22-2-222222-2-2-2-22222-2-2000000000000000022-22-2-2200000000-2-2-2-2-200002222000000000000000000000000
χ2522222222222222-2-2-2-22-2-222222-2-2-2-2-2-222-2-20000000000000000-2-22-222-20000000020000000000000000000000002-22-200000000
χ2622222222222222-2-2-2-22-2-222222-2-2-2-2-2-222-2-20000000000000000-2-22-222-2000000002000000000000000000000000-22-2200000000
χ2722222222222222-2-2-2-22-2-2-2-2-2-22-2-22222-2-222000000000000000022-2-22-2-200000000200000000000000000000000000002-22-20000
χ2822222222222222-2-2-2-22-2-2-2-2-2-22-2-22222-2-222000000000000000022-2-22-2-20000000020000000000000000000000000000-22-220000
χ2922222222222222-2-2-2-22-2-2-2-2-2-22-2-222-2-2-2-2220000000000000000-2-222-22200000000-2000000000000000000000000000000002i−2i2i−2i
χ3022222222222222-2-2-2-22-2-2-2-2-2-22-2-222-2-2-2-2220000000000000000-2-222-22200000000-200000000000000000000000000000000−2i2i−2i2i
χ31222222-2-2-222-2-2-22222-2-2-222222-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-222000000002000000000000-2-22200000000000000000000
χ32222222-2-2-222-2-2-22222-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-22200000000200000000000022-2-200000000000000000000
χ33222222-2-2-222-2-2-22222-2-2-2-2-2-2-22-2-2-2-22222220000000000000000-2-22-2-2-222i2i2i2i−2i−2i−2i−2i20000−2i−2i2i2i0000000000000000000000000000
χ34222222-2-2-222-2-2-22222-2-2-2-2-2-2-22-2-2-2-22222220000000000000000-2-22-2-2-22−2i−2i−2i−2i2i2i2i2i200002i2i−2i−2i0000000000000000000000000000
χ35222222-2-2-222-2-2-22222-2-2-2-2-2-2-22-2-2-2-2-2-22222000000000000000022-2222-200000000-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ36222222-2-2-222-2-2-22222-2-2-2-2-2-2-22-2-2-2-2-2-22222000000000000000022-2222-200000000-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ37222222-2-2-222-2-2-2-2-2-2-2-2222222222-2-222-2-2220000000000000000-2-2-22-22-200000000222-2-20000-2-222000000000000000000000000
χ38222222-2-2-222-2-2-2-2-2-2-2-2222222222-2-222-2-2220000000000000000-2-2-22-22-2000000002-2-222000022-2-2000000000000000000000000
χ39222222-2-2-222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2220000000000000000222-22-2200000000-20000000000000000000000002-2-2200000000
χ40222222-2-2-222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2220000000000000000222-22-2200000000-2000000000000000000000000-222-200000000
χ41222222-2-2-222-2-2-2-2-2-2-2-222-2-2-2-2222222222-2-20000000000000000-2-2-2-222200000000-200000000000000000000000000002i−2i−2i2i0000
χ42222222-2-2-222-2-2-2-2-2-2-2-222-2-2-2-2222222222-2-20000000000000000-2-2-2-222200000000-20000000000000000000000000000−2i2i2i−2i0000
χ43222222-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222222-2-222-2-200000000000000002222-2-2-2000000002000000000000000000000000000000002-2-22
χ44222222-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222222-2-222-2-200000000000000002222-2-2-200000000200000000000000000000000000000000-222-2
χ4544444444-4-4-4-4-4-4000040044-4-4-40000004-400000000000000000000000002i2i−2i−2i2i2i−2i−2i000002i−2i2i−2i0000000000000000000000000000
χ4644444444-4-4-4-4-4-4000040044-4-4-40000004-40000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000−2i2i−2i2i0000000000000000000000000000
χ4744444444-4-4-4-4-4-40000400-4-444-4000000-4400000000000000000000000002i2i−2i−2i2i2i−2i−2i00000−2i2i−2i2i0000000000000000000000000000
χ4844444444-4-4-4-4-4-40000400-4-444-4000000-440000000000000000000000000−2i−2i2i2i−2i−2i2i2i000002i−2i2i−2i0000000000000000000000000000
χ49444444-4-44-4-44440000-40044-4-4-4000000-44000000000000000000000000022-2-2-2-222000002-2-220000000000000000000000000000
χ50444444-4-44-4-44440000-40044-4-4-4000000-440000000000000000000000000-2-22222-2-200000-222-20000000000000000000000000000
χ51444444-4-44-4-44440000-400-4-444-40000004-4000000000000000000000000022-2-2-2-22200000-222-20000000000000000000000000000
χ52444444-4-44-4-44440000-400-4-444-40000004-40000000000000000000000000-2-22222-2-2000002-2-220000000000000000000000000000
χ534444-4-444444-4-4444-4-4-44-40000-44-400000000000000000000000000000000000000002-22-200002-22-2000000000000000000000000
χ544444-4-444444-4-4444-4-4-44-40000-44-40000000000000000000000000000000000000000-22-220000-22-22000000000000000000000000
χ554444-4-444444-4-44-4-444-4-440000-4-4400000000000000000000000000000000000000002-22-20000-22-22000000000000000000000000
χ564444-4-444444-4-44-4-444-4-440000-4-440000000000000000000000000000000000000000-22-2200002-22-2000000000000000000000000
χ574444-4-444-4-4-444-40000-4000000400004-400002222-2-2-2-22222-2-2-2-24-4000000000000000000000000002-22-200000000000000000000
χ584444-4-444-4-4-444-40000-4000000400004-40000-2-2-2-22222-2-2-2-222224-400000000000000000000000000-22-2200000000000000000000
χ594444-4-444-4-4-444-40000-400000040000-4400002222-2-2-2-22222-2-2-2-2-4400000000000000000000000000-22-2200000000000000000000
χ604444-4-444-4-4-444-40000-400000040000-440000-2-2-2-22222-2-2-2-22222-44000000000000000000000000002-22-200000000000000000000
χ614444-4-4-4-44-4-4-4-4400004000000400004-400002222-2-2-2-2-2-2-2-22222-44000000000000000000000000002-2-2200000000000000000000
χ624444-4-4-4-44-4-4-4-4400004000000400004-40000-2-2-2-222222222-2-2-2-2-4400000000000000000000000000-222-200000000000000000000
χ634444-4-4-4-44-4-4-4-440000400000040000-4400002222-2-2-2-2-2-2-2-222224-400000000000000000000000000-222-200000000000000000000
χ644444-4-4-4-44-4-4-4-440000400000040000-440000-2-2-2-222222222-2-2-2-24-4000000000000000000000000002-2-2200000000000000000000
χ654444-4-4-4-4-44444-444-4-44-440000-4-4400000000000000000000000000000000000000002-2-2200002-2-22000000000000000000000000
χ664444-4-4-4-4-44444-444-4-44-440000-4-440000000000000000000000000000000000000000-222-20000-222-2000000000000000000000000
χ674444-4-4-4-4-44444-4-4-44444-40000-44-400000000000000000000000000000000000000002-2-220000-222-2000000000000000000000000
χ684444-4-4-4-4-44444-4-4-44444-40000-44-40000000000000000000000000000000000000000-222-200002-2-22000000000000000000000000
χ6944-4-4004-444-400-4004-4004000000-40000000022-2-222-2-222-2-222-2-200000002i−2i2i−2i2i−2i2i−2i000000000000000002i−2i002i−2i00000000000000
χ7044-4-4004-444-400-4004-4004000000-40000000022-2-222-2-222-2-222-2-20000000−2i2i−2i2i−2i2i−2i2i00000000000000000−2i2i00−2i2i00000000000000
χ7144-4-4004-444-400-4004-4004000000-400000000-2-222-2-222-2-222-2-22200000002i−2i2i−2i2i−2i2i−2i00000000000000000−2i2i00−2i2i00000000000000
χ7244-4-4004-444-400-4004-4004000000-400000000-2-222-2-222-2-222-2-2220000000−2i2i−2i2i−2i2i−2i2i000000000000000002i−2i002i−2i00000000000000
χ7344-4-4004-4-4-440044-4000-4000000400000000022-2-2-2-22222-2-2-2-22200000002-2-222-2-2200000000000000000002-2002-2000000000000
χ7444-4-4004-4-4-440044-4000-4000000400000000022-2-2-2-22222-2-2-2-2220000000-222-2-222-20000000000000000000-2200-22000000000000
χ7544-4-4004-4-4-440044-4000-40000004000000000-2-22222-2-2-2-22222-2-200000002-2-222-2-220000000000000000000-2200-22000000000000
χ7644-4-4004-4-4-440044-4000-40000004000000000-2-22222-2-2-2-22222-2-20000000-222-2-222-200000000000000000002-2002-2000000000000
χ7744-4-400-444-4400-44-40004000000-400000000022-2-2-2-222-2-22222-2-200000002i−2i−2i2i−2i2i2i−2i00000000000000000002i−2i00−2i2i000000000000
χ7844-4-400-444-4400-44-40004000000-400000000022-2-2-2-222-2-22222-2-20000000−2i2i2i−2i2i−2i−2i2i0000000000000000000−2i2i002i−2i000000000000
χ7944-4-400-444-4400-44-40004000000-4000000000-2-22222-2-222-2-2-2-22200000002i−2i−2i2i−2i2i2i−2i0000000000000000000−2i2i002i−2i000000000000
χ8044-4-400-444-4400-44-40004000000-4000000000-2-22222-2-222-2-2-2-2220000000−2i2i2i−2i2i−2i−2i2i00000000000000000002i−2i00−2i2i000000000000
χ8144-4-400-44-44-4004004-400-400000040000000022-2-222-2-2-2-222-2-22200000002-22-2-22-22000000000000000002-200-2200000000000000
χ8244-4-400-44-44-4004004-400-400000040000000022-2-222-2-2-2-222-2-2220000000-22-222-22-200000000000000000-22002-200000000000000
χ8344-4-400-44-44-4004004-400-4000000400000000-2-222-2-22222-2-222-2-200000002-22-2-22-2200000000000000000-22002-200000000000000
χ8444-4-400-44-44-4004004-400-4000000400000000-2-222-2-22222-2-222-2-20000000-22-222-22-2000000000000000002-200-2200000000000000
χ8588-8-8008-888-800-800-8800-800000080000000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8008-8-8-88008-880008000000-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-800-888-8800-8-88000-8000000800000000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-800-88-88-800800-88008000000-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-800000008-80000000000000004-400004-400004-44-400004-44-40000000000000000000000000000000000000000000000000000
χ908-88-800000008-80000000000000004-400004-40000-44-440000-44-440000000000000000000000000000000000000000000000000000
χ918-88-800000008-8000000000000000-440000-444-44-400004-44-400000000000000000000000000000000000000000000000000000000
χ928-88-800000008-8000000000000000-440000-44-44-440000-44-4400000000000000000000000000000000000000000000000000000000
χ938-88-80000000-880000000000000004-40000-4400004-44-40000-44-440000000000000000000000000000000000000000000000000000
χ948-88-80000000-880000000000000004-40000-440000-44-4400004-44-40000000000000000000000000000000000000000000000000000
χ958-88-80000000-88000000000000000-4400004-44-44-40000-44-4400000000000000000000000000000000000000000000000000000000
χ968-88-80000000-88000000000000000-4400004-4-44-4400004-44-400000000000000000000000000000000000000000000000000000000
χ978-8-888-8000000000000000008-800000000000000000004-4-444-4-440000000000000000000000000000000000000000000000000000
χ988-8-888-8000000000000000008-80000000000000000000-444-4-444-40000000000000000000000000000000000000000000000000000
χ998-8-888-800000000000000000-88000000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-800000000000000000-8800000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-880000000000000008-80000000000000000000004-4-44-444-40000000000000000000000000000000000000000000000000000
χ1028-8-88-880000000000000008-8000000000000000000000-444-44-4-440000000000000000000000000000000000000000000000000000
χ1038-8-88-88000000000000000-8800000000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-88000000000000000-880000000000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000

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