Finite Group Databasebeta

← Group #72266830

Character table — Group #72266830

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1122222224444444444444488888888888888888888888161616161616161616161616323232323232323232323232323232323232
order1222222222222222222444422222444444444444444444222444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-1-1-111-1-111111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ91111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1
χ101111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-111-1-111-1-111-1-11111-1-1
χ121111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ131111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111
χ141111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ151111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ161111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ1722222222222-2-22222-2-2-2-2-2-2222-2-2-2-200000000000000000020020000-2-20000-22000000000000
χ1822222222222-2-22222-2-2-2-2-2-2222-2-2-2-2000000000000000000-200-200002200002-2000000000000
χ1922222222222-2-2-2-222-2-2-2-2-2-2-2-2-2222200000000000000000020020000-2-200002-2000000000000
χ2022222222222-2-2-2-222-2-2-2-2-2-2-2-2-22222000000000000000000-200-20000220000-22000000000000
χ21222222222-2-22222-2-222-2-2-2-22-2-222-2-20000000000000000200200-2-200002-20000000000000000
χ22222222222-2-22222-2-222-2-2-2-22-2-222-2-20000000000000000-200-200220000-220000000000000000
χ23222222222-2-222-2-2-2-222-2-2-2-2-222-2-2220000000000000000200200-2-20000-220000000000000000
χ24222222222-2-222-2-2-2-222-2-2-2-2-222-2-2220000000000000000-200-2002200002-20000000000000000
χ25222222222-2-2-2-222-2-2-2-222222-2-2-2-222000000000000000002002000-2-200002-200000000000000
χ26222222222-2-2-2-222-2-2-2-222222-2-2-2-22200000000000000000-200-2000220000-2200000000000000
χ27222222222-2-2-2-2-2-2-2-2-2-22222-22222-2-2000000000000000002002000-2-20000-2200000000000000
χ28222222222-2-2-2-2-2-2-2-2-2-22222-22222-2-200000000000000000-200-20002200002-200000000000000
χ292222-2-2-22-22-222002-2-2-22-22-20000000000000002i2i2i2i−2i−2i−2i−2i200-2002-20000000000002i−2i00000000
χ302222-2-2-22-22-222002-2-2-22-22-20000000000000002i2i2i2i−2i−2i−2i−2i-200200-22000000000000−2i2i00000000
χ312222-2-2-22-22-222002-2-2-22-22-2000000000000000−2i−2i−2i−2i2i2i2i2i200-2002-2000000000000−2i2i00000000
χ322222-2-2-22-22-222002-2-2-22-22-2000000000000000−2i−2i−2i−2i2i2i2i2i-200200-220000000000002i−2i00000000
χ332222-2-2-22-2-222200-22-2-2-22-2200000002i2i2i2i−2i−2i−2i−2i00000000200-200-2200000000002i−2i0000000000
χ342222-2-2-22-2-222200-22-2-2-22-2200000002i2i2i2i−2i−2i−2i−2i00000000-2002002-20000000000−2i2i0000000000
χ352222-2-2-22-2-222200-22-2-2-22-220000000−2i−2i−2i−2i2i2i2i2i00000000200-200-220000000000−2i2i0000000000
χ362222-2-2-22-2-222200-22-2-2-22-220000000−2i−2i−2i−2i2i2i2i2i00000000-2002002-200000000002i−2i0000000000
χ3722-2-222-22-22-22-200-222-222-2-200000002i2i−2i−2i2i2i−2i−2i000000000200-20002-200000000000000002i−2i00
χ3822-2-222-22-22-22-200-222-222-2-200000002i2i−2i−2i2i2i−2i−2i000000000-2002000-220000000000000000−2i2i00
χ3922-2-222-22-22-22-200-222-222-2-20000000−2i−2i2i2i−2i−2i2i2i000000000200-20002-20000000000000000−2i2i00
χ4022-2-222-22-22-22-200-222-222-2-20000000−2i−2i2i2i−2i−2i2i2i000000000-2002000-2200000000000000002i−2i00
χ4122-2-222-22-2-22-22002-2-2222-2-20000000000000002i2i−2i−2i2i2i−2i−2i0200-2000-220000000000000000002i−2i
χ4222-2-222-22-2-22-22002-2-2222-2-20000000000000002i2i−2i−2i2i2i−2i−2i0-20020002-2000000000000000000−2i2i
χ4322-2-222-22-2-22-22002-2-2222-2-2000000000000000−2i−2i2i2i−2i−2i2i2i0200-2000-22000000000000000000−2i2i
χ4422-2-222-22-2-22-22002-2-2222-2-2000000000000000−2i−2i2i2i−2i−2i2i2i0-20020002-20000000000000000002i−2i
χ4522-2-2-2-2222-2-22-20022-22-222-2000000022-2-2-2-2220000000000200-200002-200000000002-2000000
χ4622-2-2-2-2222-2-22-20022-22-222-2000000022-2-2-2-2220000000000-20020000-220000000000-22000000
χ4722-2-2-2-2222-2-22-20022-22-222-20000000-2-22222-2-20000000000200-200002-20000000000-22000000
χ4822-2-2-2-2222-2-22-20022-22-222-20000000-2-22222-2-20000000000-20020000-2200000000002-2000000
χ4922-2-2-2-2222-2-2-2200222-22-2-2200000000000000022-2-2-2-22200200-20000-220000000000002-20000
χ5022-2-2-2-2222-2-2-2200222-22-2-2200000000000000022-2-2-2-22200-200200002-2000000000000-220000
χ5122-2-2-2-2222-2-2-2200222-22-2-22000000000000000-2-22222-2-200200-20000-22000000000000-220000
χ5222-2-2-2-2222-2-2-2200222-22-2-22000000000000000-2-22222-2-200-200200002-20000000000002-20000
χ534444-4-4-44-44-4-4-4004-444-44-4400000000000000000000000000000000000000000000000000000
χ544444-4-4-44-4-44-4-400-44444-44-400000000000000000000000000000000000000000000000000000
χ55444-44-44-4-400000000000000000004-42i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ56444-44-44-4-400000000000000000004-4−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ57444-44-44-4-40000000000000000000-442i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ58444-44-44-4-40000000000000000000-44−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ59444-4-44-4-440000000000000004-400002-22-2-22-222-22-2-22-22000000000000000000000000000000
χ60444-4-44-4-440000000000000004-40000-22-222-22-2-22-222-22-2000000000000000000000000000000
χ61444-4-44-4-44000000000000000-4400002-22-2-22-22-22-222-22-2000000000000000000000000000000
χ62444-4-44-4-44000000000000000-440000-22-222-22-22-22-2-22-22000000000000000000000000000000
χ6344-444-4-4-4400004400000000-40000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ6444-444-4-4-4400004400000000-4000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ6544-444-4-4-440000-4-40000000040000002-2-222-2-22-222-2-222-2000000000000000000000000000000
χ6644-444-4-4-440000-4-4000000004000000-222-2-222-22-2-222-2-22000000000000000000000000000000
χ6744-44-444-4-4000000000000000004-4002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ6844-44-444-4-4000000000000000004-400−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ6944-44-444-4-400000000000000000-44002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ7044-44-444-4-400000000000000000-4400−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ7144-4-444-44-44-4-4400-44-44-4-44400000000000000000000000000000000000000000000000000000
χ7244-4-444-44-4-444-4004-44-4-4-44400000000000000000000000000000000000000000000000000000
χ7344-4-4-4-4444444-400-4-4-444-4-4400000000000000000000000000000000000000000000000000000
χ7444-4-4-4-444444-4400-4-44-4-444-400000000000000000000000000000000000000000000000000000
χ7516-16000000000008-80000000000000000000000000000000000000000000000000000000000000
χ7616-1600000000000-880000000000000000000000000000000000000000000000000000000000000

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