Finite Group Databasebeta

← Group #72267395

Character table — Group #72267395

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122224444444444444488888888888888888888888888888888888161616161616161616161616323232323232323232323232323232
order1222222222222244444444444422222222244444444444444444444444444444444444444444888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-111111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-11-111111111-1-1-1-1
χ9111111111111-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-111-1-111
χ11111111111111-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1-11111-1-1-1-111
χ12111111111111-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-11-1-111-1-11111-1-1
χ13111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ14111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11111-1-111-1-1
χ15111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11111-1-1-1-11111-1-1
χ16111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1111-1-111-1-1-1-111
χ172222222222222222-2-2-2-222-2-2-2-220000000022-2-2-2-20000000000000000222200-2-2000022000-20000000000000
χ182222222222222222-2-2-2-222-2-2-2-220000000022-2-2-2-20000000000000000-2-2-2-200220000-2-200020000000000000
χ1922222222222222-2-222-2-2-2-222-2-2200000000-2-222-2-200000000000022220000-2-20000220000-200000000000000
χ2022222222222222-2-222-2-2-2-222-2-2200000000-2-222-2-2000000000000-2-2-2-20000220000-2-20000200000000000000
χ2122222222222222-2-2-2-222-2-2-2-222200000000-2-2-2-222000000002222000000000000-2-200002200-2000000000000
χ2222222222222222-2-2-2-222-2-2-2-222200000000-2-2-2-22200000000-2-2-2-2000000000000220000-2-2002000000000000
χ23222222222222-2-222-2-2-2-222-2-2-2-2-200000000-2-222220000000000000000222200-2-20000-2-200020000000000000
χ24222222222222-2-222-2-2-2-222-2-2-2-2-200000000-2-222220000000000000000-2-2-2-20022000022000-20000000000000
χ25222222222222-2-2-2-222-2-2-2-222-2-2-20000000022-2-22200000000000022220000-2-20000-2-20000200000000000000
χ26222222222222-2-2-2-222-2-2-2-222-2-2-20000000022-2-222000000000000-2-2-2-20000220000220000-200000000000000
χ27222222222222-2-2-2-2-2-222-2-2-2-222-2000000002222-2-2000000002222000000000000-2-20000-2-2002000000000000
χ28222222222222-2-2-2-2-2-222-2-2-2-222-2000000002222-2-200000000-2-2-2-20000000000002200002200-2000000000000
χ2922-2-22-2-2222-2-200222-22-2-2-22-22-20000022-2-2000000000022-2-2000000002i2i−2i−2i002i−2i0000000000000000000002i−2i
χ3022-2-22-2-2222-2-200222-22-2-2-22-22-20000022-2-2000000000022-2-200000000−2i−2i2i2i00−2i2i000000000000000000000−2i2i
χ3122-2-22-2-2222-2-200222-22-2-2-22-22-200000-2-2220000000000-2-222000000002i2i−2i−2i002i−2i000000000000000000000−2i2i
χ3222-2-22-2-2222-2-200222-22-2-2-22-22-200000-2-2220000000000-2-22200000000−2i−2i2i2i00−2i2i0000000000000000000002i−2i
χ3322-2-22-2-2222-2-20022-22-22-2-2-22-22022-2-2000000000022-2-20000000000002i2i−2i−2i00−2i2i00000000000000000002i−2i00
χ3422-2-22-2-2222-2-20022-22-22-2-2-22-22022-2-2000000000022-2-2000000000000−2i−2i2i2i002i−2i0000000000000000000−2i2i00
χ3522-2-22-2-2222-2-20022-22-22-2-2-22-220-2-2220000000000-2-2220000000000002i2i−2i−2i00−2i2i0000000000000000000−2i2i00
χ3622-2-22-2-2222-2-20022-22-22-2-2-22-220-2-2220000000000-2-222000000000000−2i−2i2i2i002i−2i00000000000000000002i−2i00
χ372-22-2-22-222-22-2002-2222-22-2-2-2-2202-22-200000000002-22-2000000002i2i−2i−2i00002i−2i000000000000000002i−2i000000
χ382-22-2-22-222-22-2002-2222-22-2-2-2-2202-22-200000000002-22-200000000−2i−2i2i2i0000−2i2i00000000000000000−2i2i000000
χ392-22-2-22-222-22-2002-2222-22-2-2-2-220-22-220000000000-22-22000000002i2i−2i−2i00002i−2i00000000000000000−2i2i000000
χ402-22-2-22-222-22-2002-2222-22-2-2-2-220-22-220000000000-22-2200000000−2i−2i2i2i0000−2i2i000000000000000002i−2i000000
χ412-22-2-22-222-22-200-2222-22-22-2-22-2000002-22-200000000002-22-200002i2i−2i−2i0000−2i2i00000000000000000002i−2i0000
χ422-22-2-22-222-22-200-2222-22-22-2-22-2000002-22-200000000002-22-20000−2i−2i2i2i00002i−2i0000000000000000000−2i2i0000
χ432-22-2-22-222-22-200-2222-22-22-2-22-200000-22-220000000000-22-2200002i2i−2i−2i0000−2i2i0000000000000000000−2i2i0000
χ442-22-2-22-222-22-200-2222-22-22-2-22-200000-22-220000000000-22-220000−2i−2i2i2i00002i−2i00000000000000000002i−2i0000
χ452-2-22-2-2222-2-22002-2-22-2-2-222-22202-2-2200000000002-2-22000022-2-20000000000002-20000000002-20000000000
χ462-2-22-2-2222-2-22002-2-22-2-2-222-22202-2-2200000000002-2-220000-2-222000000000000-22000000000-220000000000
χ472-2-22-2-2222-2-22002-2-22-2-2-222-2220-222-20000000000-222-2000022-2-20000000000002-2000000000-220000000000
χ482-2-22-2-2222-2-22002-2-22-2-2-222-2220-222-20000000000-222-20000-2-222000000000000-220000000002-20000000000
χ492-2-22-2-2222-2-2200-222-2-2-22-2-2222000002-2-2200000000002-2-2222-2-2000000000000-22000000000002-200000000
χ502-2-22-2-2222-2-2200-222-2-2-22-2-2222000002-2-2200000000002-2-22-2-2220000000000002-200000000000-2200000000
χ512-2-22-2-2222-2-2200-222-2-2-22-2-222200000-222-20000000000-222-222-2-2000000000000-2200000000000-2200000000
χ522-2-22-2-2222-2-2200-222-2-2-22-2-222200000-222-20000000000-222-2-2-2220000000000002-2000000000002-200000000
χ5344444444-4-4-4-444000000000000-422222222000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000
χ5444444444-4-4-4-444000000000000-4-2-2-2-2-2-2-2-200000022222222000000000000000000000000000000000000000
χ5544444444-4-4-4-4-4-400000000000042222-2-2-2-2000000-2-2-2-22222000000000000000000000000000000000000000
χ5644444444-4-4-4-4-4-40000000000004-2-2-2-222220000002222-2-2-2-2000000000000000000000000000000000000000
χ574444-4-4-4-400004-4000000000000000000000000000000000002-22-22-22-22-22-20000002-22-22-2000000000000000
χ584444-4-4-4-400004-4000000000000000000000000000000000002-22-2-22-22-22-22000000-22-222-2000000000000000
χ594444-4-4-4-400004-400000000000000000000000000000000000-22-222-22-2-22-220000002-2-22-22000000000000000
χ604444-4-4-4-400004-400000000000000000000000000000000000-22-22-22-222-22-2000000-222-2-22000000000000000
χ614444-4-4-4-40000-44000000000000000000000000000000000002-22-22-22-22-22-2000000-22-22-22000000000000000
χ624444-4-4-4-40000-44000000000000000000000000000000000002-22-2-22-22-22-220000002-22-2-22000000000000000
χ634444-4-4-4-40000-4400000000000000000000000000000000000-22-222-22-2-22-22000000-222-22-2000000000000000
χ644444-4-4-4-40000-4400000000000000000000000000000000000-22-22-22-222-22-20000002-2-222-2000000000000000
χ6544-4-44-4-4444-4-400-4-44-4-44444-4-4400000000000000000000000000000000000000000000000000000000000000
χ6644-4-44-4-4444-4-400-4-4-444-444-444-400000000000000000000000000000000000000000000000000000000000000
χ6744-4-44-4-44-4-44400000000000000022-2-222-2-24-40000-2-222-2-222000000000000000000000000000000000000000
χ6844-4-44-4-44-4-44400000000000000022-2-2-2-222-440000-2-22222-2-2000000000000000000000000000000000000000
χ6944-4-44-4-44-4-444000000000000000-2-22222-2-2-44000022-2-2-2-222000000000000000000000000000000000000000
χ7044-4-44-4-44-4-444000000000000000-2-222-2-2224-4000022-2-222-2-2000000000000000000000000000000000000000
χ714-44-4-44-444-44-4004-4-4-4-444-4444-400000000000000000000000000000000000000000000000000000000000000
χ724-44-4-44-444-44-400-44-4-44-4-4444-4400000000000000000000000000000000000000000000000000000000000000
χ734-44-4-44-44-44-440000000000000002-22-22-22-2004-400-22-22-22-22000000000000000000000000000000000000000
χ744-44-4-44-44-44-440000000000000002-22-2-22-2200-4400-22-222-22-2000000000000000000000000000000000000000
χ754-44-4-44-44-44-44000000000000000-22-222-22-200-44002-22-2-22-22000000000000000000000000000000000000000
χ764-44-4-44-44-44-44000000000000000-22-22-22-22004-4002-22-22-22-2000000000000000000000000000000000000000
χ774-4-44-4-4444-4-44004-44-444-44-44-4-400000000000000000000000000000000000000000000000000000000000000
χ784-4-44-4-4444-4-4400-44-44444-44-4-4-400000000000000000000000000000000000000000000000000000000000000
χ794-4-44-4-444-444-40000000000000002-2-222-2-2200004-4-222-2-222-2000000000000000000000000000000000000000
χ804-4-44-4-444-444-40000000000000002-2-22-222-20000-44-222-22-2-22000000000000000000000000000000000000000
χ814-4-44-4-444-444-4000000000000000-222-22-2-220000-442-2-22-222-2000000000000000000000000000000000000000
χ824-4-44-4-444-444-4000000000000000-222-2-222-200004-42-2-222-2-22000000000000000000000000000000000000000
χ8388-8-8-888-800000000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000
χ8488-8-8-888-80000000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000
χ858-88-88-88-80000000000000000000000000000000000000000000004i−4i−4i4i0000000000000000000000000000000
χ868-88-88-88-8000000000000000000000000000000000000000000000−4i4i4i−4i0000000000000000000000000000000
χ878-8-8888-8-8000000000000000000000000000000000000000004-4-4400000000000000000000000000000000000
χ888-8-8888-8-800000000000000000000000000000000000000000-444-400000000000000000000000000000000000

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