Finite Group Databasebeta

← Group #72339090

Character table — Group #72339090

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size11244488881616161616161616161616161616161616161616161616323232323232323232323232326464646464646464646464646464646464646464646464128128128128128128256256256256
order1222222244222222222222222222244442444444444444444444444444444444488884488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11111-1-1-1-11111111-1-111-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111-1-1-1-11111-1-1-1-11111111-1-111-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ91111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-11-11-11111-11-11-11-111-1-111-1-111-1-11111-1-111-1-11-11-1
χ101111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11-11-11-11111-11-11-11-111-1-111-1-111-1-1-1-1-1-111-1-111-11-11
χ111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-11-1-11-111111-11-1-11-1111-1-1-1-111-1-1111111-1-111-1-1-11-11
χ121111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-11-1-11-111111-11-1-11-1111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1
χ131111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111111-1-111-1-11-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111111-1-111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-111-1
χ151111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-111-11111-1-11-111-1-1-111-1-11111-1-11111-1-1-1-111-111-1
χ161111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-111-11111-1-11-111-1-1-111-1-11111-1-1-1-1-1-11111-1-11-1-11
χ172222222222222222222-2-200000000-2-222-2222-20000-2-2-2-2-22-20000-2-2220000000000000000000000
χ1822222222222222222-2-22200000000-2-222-222-220000-2-2-2-2-2-22000022-2-20000000000000000000000
χ192222222222222-2-2-2-222220000000022222-2-2220000-2-2-2-22220000-2-2-2-20000000000000000000000
χ202222222222222-2-2-2-2-2-2-2-20000000022222-2-2-2-20000-2-2-2-22-2-2000022220000000000000000000000
χ2122222222222-2-222-2-200000000222222-2-222-200002222-2-2-200002200000000-2-2-2-200000000000000
χ2222222222222-2-222-2-200000000-2-2-2-222-2-222-20000-2-222-2-2-20000-2-200000000222200000000000000
χ2322222222222-2-222-2-2000022-2-20000-2-2-2-2-22-2002-200-2-2222002-2000000-2-222000000000000000000
χ2422222222222-2-222-2-20000-2-2220000-2-2-2-2-22-200-2200-2-222200-2200000022-2-2000000000000000000
χ2522222222222-2-2-2-2220000000022-2-2-2-2-2-2-2-2200002-222-2-2200002-200000000-2-22200000000000000
χ2622222222222-2-2-2-22200000000-2-222-2-2-2-2-2-220000-2222-2-220000-220000000022-2-200000000000000
χ2722222222222-2-2-2-22200002222000022-2-22-22002200-2-222-20022000000-2-2-2-2000000000000000000
χ2822222222222-2-2-2-2220000-2-2-2-2000022-2-22-2200-2-200-2-222-200-2-20000002222000000000000000000
χ2922222222-2-2-22-20000002200222200002-20000202202-22-200-20-2-20002-2002-22-20000000000000000
χ3022222222-2-2-22-20000002200-2-2-2-200002-2000020-2-202-22-200-20220002-200-22-220000000000000000
χ3122222222-2-2-22-20000002222000022002-2000022002-22-2200-2-200-200-222-200002-200000000000000
χ3222222222-2-2-22-200000022-2-20000-2-2002-200002-200-2-22-2200-2200200-22-220000-2200000000000000
χ3322222222-2-2-22-2000000-2-20022-2-200002-20000-202-202-22-20020-22000-22002-2-220000000000000000
χ3422222222-2-2-22-2000000-2-200-2-22200002-20000-20-2202-22-200202-2000-2200-222-20000000000000000
χ3522222222-2-2-22-2000000-2-2220000-2-2002-20000-2200-2-22-22002-2002002-22-20000-2200000000000000
χ3622222222-2-2-22-2000000-2-2-2-2000022002-20000-2-2002-22-22002200-2002-2-2200002-200000000000000
χ3722222222-2-2-2-22000022000022002200-22000200202-222-20-200-20-22-20000-2200-2200000000000000
χ3822222222-2-2-2-220000220000-2-200-2-200-22000200-20-2-222-20-2002022-200002-2002-200000000000000
χ3922222222-2-2-2-22000022002200220000-220002020202-2-220-20-20-20-2200-2200-220000000000000000
χ4022222222-2-2-2-2200002200-2-200-2-20000-2200020-20-202-2-220-202020-22002-2002-20000000000000000
χ4122222222-2-2-2-220000-2-200002200-2-200-22000-20020-2-222-20200-202-220000-22002-200000000000000
χ4222222222-2-2-2-220000-2-20000-2-2002200-22000-200-202-222-2020020-2-2200002-200-2200000000000000
χ4322222222-2-2-2-220000-2-2002200-2-20000-22000-2020-202-2-22020-20202-200-22002-20000000000000000
χ4422222222-2-2-2-220000-2-200-2-200220000-22000-20-20202-2-2202020-202-2002-200-220000000000000000
χ45444444-4-444-40000000000000000004400-4000000000000000000000000000000022-2-22-200000000
χ46444444-4-444-40000000000000000004400-40000000000000000000000000000000-2-222-2200000000
χ47444444-4-444-4000000000000000000-4-4004000000000000000000000000000000022-2-2-2200000000
χ48444444-4-444-4000000000000000000-4-40040000000000000000000000000000000-2-2222-200000000
χ494444-4-44-4000040000440000000000000-4000-400000000000000000000000000002i−2i2i−2i002i−2i000000
χ504444-4-44-4000040000440000000000000-4000-40000000000000000000000000000−2i2i−2i2i00−2i2i000000
χ514444-4-44-4000040000-4-40000000000000-4000400000000000000000000000000002i−2i2i−2i00−2i2i000000
χ524444-4-44-4000040000-4-40000000000000-400040000000000000000000000000000−2i2i−2i2i002i−2i000000
χ534444-4-4-4400040000000440000000000-400000-40000000000000000000000000002i−2i−2i2i00002i−2i0000
χ544444-4-4-4400040000000440000000000-400000-4000000000000000000000000000−2i2i2i−2i0000−2i2i0000
χ554444-4-4-4400040000000-4-40000000000-40000040000000000000000000000000002i−2i−2i2i0000−2i2i0000
χ564444-4-4-4400040000000-4-40000000000-4000004000000000000000000000000000−2i2i2i−2i00002i−2i0000
χ57888888-8-8-8-8800000000000000000000000000000000000000000000000000000000000000000000
χ588888-8-88-80000-8000000000000000000080000000000000000000000000000000000000000000000
χ598888-8-8-88000-80000000000000000000800000000000000000000000000000000000000000000000
χ60888-88-800000000044000044440000000000-400-4-4000000000000000000000000000000000000000
χ61888-88-8000000000440000-4-4-4-40000000000-40044000000000000000000000000000000000000000
χ62888-88-8000000000-4-4000044-4-40000000000400-44000000000000000000000000000000000000000
χ63888-88-8000000000-4-40000-4-44400000000004004-4000000000000000000000000000000000000000
χ64888-8-880000000440000000000444400000-400000-4-40000000000000000000000000000000000000
χ65888-8-880000000440000000000-4-4-4-400000-400000440000000000000000000000000000000000000
χ66888-8-880000000-4-4000000000044-4-400000400000-440000000000000000000000000000000000000
χ67888-8-880000000-4-40000000000-4-444000004000004-40000000000000000000000000000000000000
χ681616-16000008-8000008-800000000000000000000000000000000000000000000000000000000000000
χ691616-16000008-800000-8800000000000000000000000000000000000000000000000000000000000000
χ701616-1600000-880008-80000000000000000000000000000000000000000000000000000000000000000
χ711616-1600000-88000-880000000000000000000000000000000000000000000000000000000000000000
χ7216-160000000000000004-44-44-44-44-44-44-4000000000000000000000000000000000000000000000000
χ7316-160000000000000004-44-4-44-44-44-444-4000000000000000000000000000000000000000000000000
χ7416-160000000000000004-4-444-4-444-4-44-44000000000000000000000000000000000000000000000000
χ7516-160000000000000004-4-44-444-4-444-4-44000000000000000000000000000000000000000000000000
χ7616-16000000000000000-444-44-4-44-444-4-44000000000000000000000000000000000000000000000000
χ7716-16000000000000000-444-4-444-44-4-44-44000000000000000000000000000000000000000000000000
χ7816-16000000000000000-44-444-44-4-44-444-4000000000000000000000000000000000000000000000000
χ7916-16000000000000000-44-44-44-444-44-44-4000000000000000000000000000000000000000000000000

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