Finite Group Databasebeta

← Group #72339036

Character table — Group #72339036

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112244444488888888888888888888881616161616161616161616161616161616161632323232323232323232323232323232323232323232646464646464646464128128
order12222222444422222244444444444444442222222444444444444222444444444448888888844444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-11111111111-1-11111-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111-1-11111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-11-1
χ6111111111111111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-11111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111111111-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-11111-1-111111111-1-1-11111-1-11-1
χ9111111111111-1-1-1-111-1-1-1-11111111111111-1-11111-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1
χ10111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111
χ11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ12111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111111111-1-1
χ13111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-11111-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-11
χ14111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1
χ15111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1111-1
χ16111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1111111-1-1-1-11-1-1-1-1-111-1-1111111-1-1-1-1111-1-111-1-1-11
χ172222222222220000-2-200002222-2-2222222-20000-2-2002-200000022-2-2002-20000000022-2-2000000000000000
χ182222222222220000-2-200002222-2-2-2-2-2-222-20000-2-2002-2000000-2-222002-200000000-2-222000000000000000
χ192222222222220000-2-2000022-2-222222222-20000-2-200-2200000022-2-200-2200000000-2-222000000000000000
χ202222222222220000-2-2000022-2-222-2-2-2-222-20000-2-200-22000000-2-22200-220000000022-2-2000000000000000
χ212222222222220000-2-20000-2-222-2-20000-2-2-2220022222-2000000000000-22000000-2-2000022-2-200000000000
χ222222222222220000-2-20000-2-222-2-20000-2-2-2-2-20022-2-22-2000000000000-22000000220000-2-22200000000000
χ232222222222220000-2-20000-2-2-2-2220000-2-2-222002222-220000000000002-2000000-2-20000-2-22200000000000
χ242222222222220000-2-20000-2-2-2-2220000-2-2-2-2-20022-2-2-220000000000002-200000022000022-2-200000000000
χ252222222222222222222222-2-222220000-2-220000-2-20022222200000000-2-20000-2-20000000000-20000000000
χ262222222222222222222222-2-2-2-2-2-20000-2-220000-2-200-2-2-2-2-2-200000000220000-2-2000000000020000000000
χ27222222222222-2-2-2-222-2-2-2-2-2-222220000-2-220000-2-20022-2-2-2-200000000-2-2000022000000000020000000000
χ28222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-20000-2-220000-2-200-2-2222200000000220000220000000000-20000000000
χ2922222222-2-2-2-222-2-22222-2-22-2000000002-2-200002-200000000220000200000-2-22-200000000000002-2000000
χ3022222222-2-2-2-222-2-22222-2-22-2000000002-2-200002-200000000-2-20000-200000222-20000000000000-22000000
χ3122222222-2-2-2-222-2-22222-2-2-2200000000-22-20022-22000000000000000200-2-200-22000000000002-200000000
χ3222222222-2-2-2-222-2-22222-2-2-2200000000-22-200-2-2-22000000000000000-2002200-2200000000000-2200000000
χ3322222222-2-2-2-2-2-22222-2-2222-2000000002-2-200002-200000000220000200000-2-2-220000000000000-22000000
χ3422222222-2-2-2-2-2-22222-2-2222-2000000002-2-200002-200000000-2-20000-20000022-2200000000000002-2000000
χ3522222222-2-2-2-2-2-22222-2-222-2200000000-22-20022-22000000000000000200-2-2002-200000000000-2200000000
χ3622222222-2-2-2-2-2-22222-2-222-2200000000-22-200-2-2-22000000000000000-20022002-2000000000002-200000000
χ3744444444-4-4-4-40000-4-400004-4000000004-440000-44000000000000000000000000000000000000000000000
χ3844444444-4-4-4-40000-4-40000-4400000000-44400004-4000000000000000000000000000000000000000000000
χ39444444-4-44-44-400000000000000440000000002200000-40000220000-2-2002-22-200000000000000000000000
χ40444444-4-44-44-40000000000000044000000000-2-200000-40000-2-200002200-22-2200000000000000000000000
χ41444444-4-44-44-400000000000000-4-4000000000220000040000-2-200002-2002-2-2200000000000000000000000
χ42444444-4-44-44-400000000000000-4-4000000000-2-20000040000220000-2200-222-200000000000000000000000
χ43444444-4-4-44-440000000000004400000000000220000-400000220000-2-200-22-2200000000000000000000000
χ44444444-4-4-44-440000000000004400000000000-2-20000-400000-2-2000022002-22-200000000000000000000000
χ45444444-4-4-44-44000000000000-4-400000000000220000400000-2-200002-200-222-200000000000000000000000
χ46444444-4-4-44-44000000000000-4-400000000000-2-20000400000220000-22002-2-2200000000000000000000000
χ474444-4-4-44000000444-400-4-40000002222000220000-2-200000000-2-22-200000000002-20000000000000000000
χ484444-4-4-44000000444-400-4-4000000-2-2-2-2000-2-20000220000000022-220000000000-220000000000000000000
χ494444-4-4-44000000-4-44-400440000002222000-2-200002200000000-2-22-20000000000-220000000000000000000
χ504444-4-4-44000000-4-44-40044000000-2-2-2-2000220000-2-20000000022-2200000000002-20000000000000000000
χ514444-4-4-4400004400-44-4-4000000002222000220000-2-200000000-2-2-220000000000-220000000000000000000
χ524444-4-4-4400004400-44-4-400000000-2-2-2-2000-2-200002200000000222-200000000002-20000000000000000000
χ534444-4-4-440000-4-400-4444000000002222000-2-200002200000000-2-2-2200000000002-20000000000000000000
χ544444-4-4-440000-4-400-444400000000-2-2-2-2000220000-2-200000000222-20000000000-220000000000000000000
χ5544-4-44-400040-42-22-2002-22-2004i−4i0022-2-20002-200002-2002i2i−2i−2i002-2000000000000002i−2i002i−2i0000000000000
χ5644-4-44-400040-42-22-2002-22-2004i−4i00-2-222000-220000-22002i2i−2i−2i00-2200000000000000−2i2i00−2i2i0000000000000
χ5744-4-44-400040-42-22-2002-22-200−4i4i0022-2-20002-200002-200−2i−2i2i2i002-200000000000000−2i2i00−2i2i0000000000000
χ5844-4-44-400040-42-22-2002-22-200−4i4i00-2-222000-220000-2200−2i−2i2i2i00-22000000000000002i−2i002i−2i0000000000000
χ5944-4-44-400040-4-22-2200-22-22004i−4i0022-2-2000-220000-2200−2i−2i2i2i002-2000000000000002i−2i00−2i2i0000000000000
χ6044-4-44-400040-4-22-2200-22-22004i−4i00-2-2220002-200002-200−2i−2i2i2i00-2200000000000000−2i2i002i−2i0000000000000
χ6144-4-44-400040-4-22-2200-22-2200−4i4i0022-2-2000-220000-22002i2i−2i−2i002-200000000000000−2i2i002i−2i0000000000000
χ6244-4-44-400040-4-22-2200-22-2200−4i4i00-2-2220002-200002-2002i2i−2i−2i00-22000000000000002i−2i00−2i2i0000000000000
χ6344-4-4-440040-402-22-200-22-2200004i−4i22-2-20002-20000-22002i−2i2i−2i00-2200000000000000002i−2i002i−2i00000000000
χ6444-4-4-440040-402-22-200-22-2200004i−4i-2-222000-2200002-2002i−2i2i−2i002-20000000000000000−2i2i00−2i2i00000000000
χ6544-4-4-440040-402-22-200-22-220000−4i4i22-2-20002-20000-2200−2i2i−2i2i00-220000000000000000−2i2i00−2i2i00000000000
χ6644-4-4-440040-402-22-200-22-220000−4i4i-2-222000-2200002-200−2i2i−2i2i002-200000000000000002i−2i002i−2i00000000000
χ6744-4-4-440040-40-22-22002-22-200004i−4i22-2-2000-2200002-200−2i2i−2i2i00-2200000000000000002i−2i00−2i2i00000000000
χ6844-4-4-440040-40-22-22002-22-200004i−4i-2-2220002-20000-2200−2i2i−2i2i002-20000000000000000−2i2i002i−2i00000000000
χ6944-4-4-440040-40-22-22002-22-20000−4i4i22-2-2000-2200002-2002i−2i2i−2i00-220000000000000000−2i2i002i−2i00000000000
χ7044-4-4-440040-40-22-22002-22-20000−4i4i-2-2220002-20000-22002i−2i2i−2i002-200000000000000002i−2i00−2i2i00000000000
χ718888-8-88-800000000000000000000000000000000000004-4-440000000000000000000000000000000000000
χ728888-8-88-80000000000000000000000000000000000000-444-40000000000000000000000000000000000000
χ7388-8-88-8000-8084-4-44004-4-440000000000000000000000000000000000000000000000000000000000000000
χ7488-8-88-8000-808-444-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-8800-80804-4-4400-444-40000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-8800-8080-444-4004-4-440000000000000000000000000000000000000000000000000000000000000000
χ778-88-80000000000000000000-400004-44-4040004-4000000000000000000000000000000000000000002-20000
χ788-88-80000000000000000000-400004-44-404000-4400000000000000000000000000000000000000000-220000
χ798-88-80000000000000000000-40000-44-44040004-400000000000000000000000000000000000000000-220000
χ808-88-80000000000000000000-40000-44-4404000-44000000000000000000000000000000000000000002-20000
χ818-8-88000000000000000000-4000004-4-44400000000000000004-400000000000000000000000000000002-200
χ828-8-88000000000000000000-4000004-4-4440000000000000000-440000000000000000000000000000000-2200
χ838-8-88000000000000000000-400000-444-4400000000000000004-40000000000000000000000000000000-2200
χ848-8-88000000000000000000-400000-444-440000000000000000-4400000000000000000000000000000002-200
χ8516-1616-1600000000000000000008000000000-80000000000000000000000000000000000000000000000000000
χ8616-16-16160000000000000000008000000000-800000000000000000000000000000000000000000000000000000

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