Finite Group Databasebeta

← Group #72316299

Character table — Group #72316299

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222444444448888888888888888881616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222444444444444444422444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-11-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ9111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i111-1-11-1-1ii−i−i11-1-111-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i
χ10111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i1-11-1-1-111ii−i−i11-1-1-1-111-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iii
χ11111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i-11-1111-1-1ii−i−i-1-11111-1-1-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i
χ12111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i-1-1-111-111ii−i−i-1-111-1-1111111-1-1-1-1iiii−i−i−i−i−i−iii−i−iii
χ13111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii111-1-11-1-1−i−iii11-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii
χ14111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii1-11-1-1-111−i−iii11-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i
χ15111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii-11-1111-1-1−i−iii-1-11111-1-1-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii
χ16111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii-1-1-111-111−i−iii-1-111-1-1111111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i
χ172222222222222222222222-2-222222-2-22-2-2-2-2-2-2-2-2000000000000000000000000000022-2-222-2-20000000000000000
χ182222222222222222222222-2-222222-2-22-2-2-2-2-2-2-2-20000000000000000000000000000-2-222-2-2220000000000000000
χ19222222222222222222-2-2-2-22222-2-2-222-2-2-2-2-22-22-200000000202220000000-2-2-2-20000000000000000000000000000
χ20222222222222222222-2-2-2-22222-2-2-222-2-2-2-2-22-22-200000000-20-2-2-2000000022220000000000000000000000000000
χ21222222222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-22-22000000000200022200000000-2-2-2-2000000000000000000000000
χ22222222222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-22-22000000000-2000-2-2-2000000002222000000000000000000000000
χ232222222222-2-22222-2-222-2-222-2-222-222-22222-2-2-2-22222222200000000-2-2-2-200000000000000000000000000000000
χ242222222222-2-22222-2-222-2-222-2-222-222-22222-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000
χ252222222222-2-22222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ262222222222-2-22222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ272222222222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-22-22000000000000000000000000000000000000000000002-22-20000
χ282222222222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-22-2200000000000000000000000000000000000000000000-22-220000
χ292222222222-2-22222-2-2-2-222-2-2-2-2-2-22-2-2222222-22-20000000000000000000000000000000000000000000000002-22-2
χ302222222222-2-22222-2-2-2-222-2-2-2-2-2-22-2-2222222-22-2000000000000000000000000000000000000000000000000-22-22
χ31222222-2-2-2-222-2-222222222-2-2-2-2-2-2-222-2-2-222-2-222000000000000000000000000000022-2-2-2-2220000000000000000
χ32222222-2-2-2-222-2-222222222-2-2-2-2-2-2-222-2-2-222-2-2220000000000000000000000000000-2-22222-2-20000000000000000
χ33222222-2-2-2-222-2-22222-2-2-2-222-2-2222-2-22-2-2222-2-2200000000202-2-20000000-2-2220000000000000000000000000000
χ34222222-2-2-2-222-2-22222-2-2-2-222-2-2222-2-22-2-2222-2-2200000000-20-222000000022-2-20000000000000000000000000000
χ35222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-222222222-2-2-222-200000000020002-2-200000000-2-222000000000000000000000000
χ36222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-222222222-2-2-222-2000000000-2000-2220000000022-2-2000000000000000000000000
χ37222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-22-2-2222-2-2-2-2222i2i2i2i−2i−2i−2i−2i00000000−2i−2i2i2i00000000000000000000000000000000
χ38222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-22-2-2222-2-2-2-222−2i−2i−2i−2i2i2i2i2i000000002i2i−2i−2i00000000000000000000000000000000
χ39222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-22222-2-200000000000000000000000000000000000022-2-2-2-22200000000
χ40222222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-22222-2-2000000000000000000000000000000000000-2-22222-2-200000000
χ41222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-222-222-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ42222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-222-222-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ43222222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-222-222-2-22-2-220000000000000000000000000000000000000000000000002i−2i−2i2i
χ44222222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-222-222-2-22-2-22000000000000000000000000000000000000000000000000−2i2i2i−2i
χ4544444444444-4-4-4-4-44-40000004-40000000000000022-2-222-2-2000000002-22-200000000000000000000000000000000
χ4644444444444-4-4-4-4-44-40000004-400000000000000-2-222-2-22200000000-22-2200000000000000000000000000000000
χ474444444444-44-4-4-4-4-44000000-440000000000000022-2-222-2-200000000-22-2200000000000000000000000000000000
χ484444444444-44-4-4-4-4-44000000-4400000000000000-2-222-2-222000000002-22-200000000000000000000000000000000
χ49444444-4-4-4-44-444-4-44-4000000-44000000000000002i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i00000000000000000000000000000000
χ50444444-4-4-4-44-444-4-44-4000000-4400000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i00000000000000000000000000000000
χ51444444-4-4-4-4-4444-4-4-440000004-4000000000000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i00000000000000000000000000000000
χ52444444-4-4-4-4-4444-4-4-440000004-400000000000000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i00000000000000000000000000000000
χ534444-4-44-4-44004-44-400000000000000004-44-400000000000020-22-200000002-22-20000000000000000000000000000
χ544444-4-44-4-44004-44-400000000000000004-44-4000000000000-202-220000000-22-220000000000000000000000000000
χ554444-4-44-4-44004-44-40000000000000000-44-4400000000000020-22-20000000-22-220000000000000000000000000000
χ564444-4-44-4-44004-44-40000000000000000-44-44000000000000-202-2200000002-22-20000000000000000000000000000
χ574444-4-44-4-4400-44-440000004-4000004-40000000000000000002000-22-2000000002-22-2000000000000000000000000
χ584444-4-44-4-4400-44-440000004-4000004-4000000000000000000-20002-2200000000-22-22000000000000000000000000
χ594444-4-44-4-4400-44-44000000-4400000-440000000000000000002000-22-200000000-22-22000000000000000000000000
χ604444-4-44-4-4400-44-44000000-4400000-44000000000000000000-20002-22000000002-22-2000000000000000000000000
χ614444-4-4-444-4004-4-440000004-400000-440000000000000000002000-2-22000000002-2-22000000000000000000000000
χ624444-4-4-444-4004-4-440000004-400000-44000000000000000000-200022-200000000-222-2000000000000000000000000
χ634444-4-4-444-4004-4-44000000-44000004-40000000000000000002000-2-2200000000-222-2000000000000000000000000
χ644444-4-4-444-4004-4-44000000-44000004-4000000000000000000-200022-2000000002-2-22000000000000000000000000
χ654444-4-4-444-400-444-400000000000000004-4-4400000000000020-2-2200000002-2-220000000000000000000000000000
χ664444-4-4-444-400-444-400000000000000004-4-44000000000000-2022-20000000-222-20000000000000000000000000000
χ674444-4-4-444-400-444-40000000000000000-444-400000000000020-2-220000000-222-20000000000000000000000000000
χ684444-4-4-444-400-444-40000000000000000-444-4000000000000-2022-200000002-2-220000000000000000000000000000
χ6988-8-80008-8000000000004-4000000400-4000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ7088-8-80008-8000000000004-4000000400-400000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ7188-8-80008-800000000000-44000000-4004000000000000000000000000000000000000000000002-2-222-2-2200000000
χ7288-8-80008-800000000000-44000000-400400000000000000000000000000000000000000000000-222-2-222-200000000
χ7388-8-8000-88000000000004-4000000-4004000000000000000000000000000000000000000000002-22-2-22-2200000000
χ7488-8-8000-88000000000004-4000000-400400000000000000000000000000000000000000000000-22-222-22-200000000
χ7588-8-8000-8800000000000-44000000400-4000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ7688-8-8000-8800000000000-44000000400-400000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ778-88-800800-8000000004-40000004-4000000000000004i−4i004i−4i00000000000000000000000000000000000000000000
χ788-88-800800-8000000004-40000004-400000000000000−4i4i00−4i4i00000000000000000000000000000000000000000000
χ798-88-800800-800000000-44000000-440000000000004i−4i004i−4i0000000000000000000000000000000000000000000000
χ808-88-800800-800000000-44000000-44000000000000−4i4i00−4i4i0000000000000000000000000000000000000000000000
χ818-88-800-8008000000004-4000000-44000000000000004-400-4400000000000000000000000000000000000000000000
χ828-88-800-8008000000004-4000000-4400000000000000-44004-400000000000000000000000000000000000000000000
χ838-88-800-800800000000-440000004-40000000000004-400-440000000000000000000000000000000000000000000000
χ848-88-800-800800000000-440000004-4000000000000-44004-40000000000000000000000000000000000000000000000
χ858-8-888-800000800000-8000000000000000000000000000000000000000000000000000000004i−4i0000000000000000
χ868-8-888-800000800000-800000000000000000000000000000000000000000000000000000000−4i4i0000000000000000
χ878-8-888-800000-800000800000000000000000000000000000000000000000000000000004-400000000000000000000
χ888-8-888-800000-80000080000000000000000000000000000000000000000000000000000-4400000000000000000000
χ898-8-88-880000800000-800000000000000000000000000000000000000000000000000000004i−4i000000000000000000
χ908-8-88-880000800000-80000000000000000000000000000000000000000000000000000000−4i4i000000000000000000
χ918-8-88-880000-80000080000000000000000000000000000000000000000000000000004-40000000000000000000000
χ928-8-88-880000-8000008000000000000000000000000000000000000000000000000000-440000000000000000000000

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