Finite Group Databasebeta

← Group #72318199

Character table — Group #72318199

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size111111112222444444444444444444444444888888888888888888888888881616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222222222222444444442222444444444444444444444422444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-111-1-1-111-1-111-1-111-1-1-1-11111-1-1
χ911111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1
χ1011111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111
χ1111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1211111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1311111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-111-1-11111-1-1-1-111-1-111
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-111-1-11111-1-111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1111111-1-111-1-111-1-1-1-111
χ17222222222222222-2-222222222-2-22-2-22222-2-2000000002222220000-2-2-2-200000000-20000-20000-2-20000000000000000
χ18222222222222222-2-222222222-2-22-2-2-2-2-2-2-2-200000000-2-2-2-2-2-20000-2-2-2-2000000002000020000220000000000000000
χ19222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-22222-2-20000000022-2-2-2-20000222200000000-20000-20000220000000000000000
χ20222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-200000000-2-2222200002222000000002000020000-2-20000000000000000
χ21222222222222-2-2-2220000000022-2-2-22222-2-222222222-2-200000000000000000000-200002000000-2-2-2-2000000000000
χ22222222222222-2-2-2220000000022-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000-2000020000002222000000000000
χ23222222222222-2-2-2220000000022-2-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000000020000-200000022-2-2000000000000
χ24222222222222-2-2-2220000000022-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000020000-2000000-2-222000000000000
χ25222222222222-2-2-2-2-200000000-2-2-22222222200000000-2-20000222200002222-2-2-2-220000-20000000000000000000000
χ26222222222222-2-2-2-2-200000000-2-2-22222222200000000-2-20000-2-2-2-20000-2-2-2-2222220000-20000000000000000000000
χ27222222222222-2-2-2-2-200000000-2-2-222-2-2-2-2220000000022000022220000-2-2-2-222-2-2-2000020000000000000000000000
χ28222222222222-2-2-2-2-200000000-2-2-222-2-2-2-22200000000220000-2-2-2-200002222-2-222-2000020000000000000000000000
χ29222-22-2-2-22-2-2222-2222222-2-2-2-2-2-2-2220000-2-222-2-20000000000000022-2-222-2-22-200000000000000002-2000000000000
χ30222-22-2-2-22-2-2222-2222222-2-2-2-2-2-2-2220000-2-2-2-2220000000000000022-2-2-2-222-220000000000000000-22000000000000
χ31222-22-2-2-22-2-2222-222-2-2-2-22222-2-2-2220000-2-222-2-200000000000000-2-222-2-222-2200000000000000002-2000000000000
χ32222-22-2-2-22-2-2222-222-2-2-2-22222-2-2-2220000-2-2-2-22200000000000000-2-22222-2-22-20000000000000000-22000000000000
χ33222-22-2-2-22-2-2222-2-2-22222-2-2-2-222-2-2-200002200002i2i−2i−2i0000002i2i−2i−2i-2-2220000002i−2i0000000000002i−2i00000000000000
χ34222-22-2-2-22-2-2222-2-2-22222-2-2-2-222-2-2-20000220000−2i−2i2i2i000000−2i−2i2i2i-2-222000000−2i2i000000000000−2i2i00000000000000
χ35222-22-2-2-22-2-2222-2-2-2-2-2-2-2222222-2-2-200002200002i2i−2i−2i000000−2i−2i2i2i22-2-2000000−2i2i0000000000002i−2i00000000000000
χ36222-22-2-2-22-2-2222-2-2-2-2-2-2-2222222-2-2-20000220000−2i−2i2i2i0000002i2i−2i−2i22-2-20000002i−2i000000000000−2i2i00000000000000
χ37222-22-2-2-22-2-22-2-222200000000-2-22-2-200002222-2-20000002i2i−2i−2i2i2i−2i−2i0000000000−2i2i00000000002i−2i00-22000000000000
χ38222-22-2-2-22-2-22-2-222200000000-2-22-2-200002222-2-2000000−2i−2i2i2i−2i−2i2i2i00000000002i−2i0000000000−2i2i00-22000000000000
χ39222-22-2-2-22-2-22-2-222200000000-2-22-2-2000022-2-2220000002i2i−2i−2i−2i−2i2i2i00000000002i−2i00000000002i−2i002-2000000000000
χ40222-22-2-2-22-2-22-2-222200000000-2-22-2-2000022-2-222000000−2i−2i2i2i2i2i−2i−2i0000000000−2i2i0000000000−2i2i002-2000000000000
χ41222-22-2-2-22-2-22-2-22-2-200000000222220000-2-200002i2i−2i−2i002i2i−2i−2i0000000022-2-2-22000000000000−2i2i−2i2i00000000000000
χ42222-22-2-2-22-2-22-2-22-2-200000000222220000-2-200002i2i−2i−2i00−2i−2i2i2i00000000-2-2222-20000000000002i−2i−2i2i00000000000000
χ43222-22-2-2-22-2-22-2-22-2-200000000222220000-2-20000−2i−2i2i2i002i2i−2i−2i00000000-2-2222-2000000000000−2i2i2i−2i00000000000000
χ44222-22-2-2-22-2-22-2-22-2-200000000222220000-2-20000−2i−2i2i2i00−2i−2i2i2i0000000022-2-2-220000000000002i−2i2i−2i00000000000000
χ452-2-2222-2-2-2-2222-222-222-2-222-2-22-2-22-200002-20000000000000000002-22-2000000000000000000000000002i−2i0000002i−2i
χ462-2-2222-2-2-2-2222-222-222-2-222-2-22-2-22-200002-20000000000000000002-22-200000000000000000000000000−2i2i000000−2i2i
χ472-2-2222-2-2-2-2222-222-2-2-222-2-2222-2-22-200002-2000000000000000000-22-22000000000000000000000000002i−2i000000−2i2i
χ482-2-2222-2-2-2-2222-222-2-2-222-2-2222-2-22-200002-2000000000000000000-22-2200000000000000000000000000−2i2i0000002i−2i
χ492-2-2222-2-2-2-2222-22-2222-2-222-2-2-22-2-220000-22000000000000000000-22-220000000000000000000000002i−2i0000002i−2i00
χ502-2-2222-2-2-2-2222-22-2222-2-222-2-2-22-2-220000-22000000000000000000-22-22000000000000000000000000−2i2i000000−2i2i00
χ512-2-2222-2-2-2-2222-22-22-2-222-2-222-22-2-220000-220000000000000000002-22-20000000000000000000000002i−2i000000−2i2i00
χ522-2-2222-2-2-2-2222-22-22-2-222-2-222-22-2-220000-220000000000000000002-22-2000000000000000000000000−2i2i0000002i−2i00
χ532-2-2-22-222-22-222-2-22-222-2-2-2-222-2222-20000-220000000000000000002-2-22000000000002-20002-20000000000002-20000
χ542-2-2-22-222-22-222-2-22-222-2-2-2-222-2222-20000-220000000000000000002-2-2200000000000-22000-22000000000000-220000
χ552-2-2-22-222-22-222-2-22-2-2-22222-2-2-2222-20000-22000000000000000000-222-2000000000002-20002-2000000000000-220000
χ562-2-2-22-222-22-222-2-22-2-2-22222-2-2-2222-20000-22000000000000000000-222-200000000000-22000-220000000000002-20000
χ572-2-2-22-222-22-222-2-2-2222-2-2-2-2222-22-2200002-2000000000000000000-222-20000000002-20002-20000000000002-2000000
χ582-2-2-22-222-22-222-2-2-2222-2-2-2-2222-22-2200002-2000000000000000000-222-2000000000-22000-22000000000000-22000000
χ592-2-2-22-222-22-222-2-2-22-2-22222-2-22-22-2200002-20000000000000000002-2-220000000002-20002-2000000000000-22000000
χ602-2-2-22-222-22-222-2-2-22-2-22222-2-22-22-2200002-20000000000000000002-2-22000000000-22000-220000000000002-2000000
χ6144444444-4-4-4-400000000000000000044-4-400000000000000000000000000000000022220-2-2-2-2000000000000000000
χ6244444444-4-4-4-400000000000000000044-4-4000000000000000000000000000000000-2-2-2-202222000000000000000000
χ6344444444-4-4-4-4000000000000000000-4-44400000000000000000000000000000000022-2-20-2-222000000000000000000
χ6444444444-4-4-4-4000000000000000000-4-444000000000000000000000000000000000-2-222022-2-2000000000000000000
χ6544-44-4-44-40000000002-22-22-22-200000004i−4i002-22-22i−2i2i−2i002i−2i2i−2i2i−2i2i−2i00002-22-200000000000000000000000000000000
χ6644-44-4-44-40000000002-22-22-22-200000004i−4i00-22-22−2i2i−2i2i002i−2i2i−2i−2i2i−2i2i0000-22-2200000000000000000000000000000000
χ6744-44-4-44-40000000002-22-22-22-20000000−4i4i002-22-2−2i2i−2i2i00−2i2i−2i2i−2i2i−2i2i00002-22-200000000000000000000000000000000
χ6844-44-4-44-40000000002-22-22-22-20000000−4i4i00-22-222i−2i2i−2i00−2i2i−2i2i2i−2i2i−2i0000-22-2200000000000000000000000000000000
χ6944-44-4-44-4000000000-22-22-22-2200000004i−4i002-22-22i−2i2i−2i00−2i2i−2i2i−2i2i−2i2i0000-22-2200000000000000000000000000000000
χ7044-44-4-44-4000000000-22-22-22-2200000004i−4i00-22-22−2i2i−2i2i00−2i2i−2i2i2i−2i2i−2i00002-22-200000000000000000000000000000000
χ7144-44-4-44-4000000000-22-22-22-220000000−4i4i002-22-2−2i2i−2i2i002i−2i2i−2i2i−2i2i−2i0000-22-2200000000000000000000000000000000
χ7244-44-4-44-4000000000-22-22-22-220000000−4i4i00-22-222i−2i2i−2i002i−2i2i−2i−2i2i−2i2i00002-22-200000000000000000000000000000000
χ7344-4-4-44-440000000002-22-2-22-22000004-400002-2-222-2-22002-2-222-2-2200002-2-2200000000000000000000000000000000
χ7444-4-4-44-440000000002-22-2-22-22000004-40000-222-2-222-2002-2-22-222-20000-222-200000000000000000000000000000000
χ7544-4-4-44-440000000002-22-2-22-2200000-4400002-2-22-222-200-222-2-222-200002-2-2200000000000000000000000000000000
χ7644-4-4-44-440000000002-22-2-22-2200000-440000-222-22-2-2200-222-22-2-220000-222-200000000000000000000000000000000
χ7744-4-4-44-44000000000-22-222-22-2000004-400002-2-222-2-2200-222-2-222-20000-222-200000000000000000000000000000000
χ7844-4-4-44-44000000000-22-222-22-2000004-40000-222-2-222-200-222-22-2-2200002-2-2200000000000000000000000000000000
χ7944-4-4-44-44000000000-22-222-22-200000-4400002-2-22-222-2002-2-222-2-220000-222-200000000000000000000000000000000
χ8044-4-4-44-44000000000-22-222-22-200000-440000-222-22-2-22002-2-22-222-200002-2-2200000000000000000000000000000000
χ814-4-4444-4-4-4-444-44-44-4000000004-44-440000-440000000000000000000000000000000000000000000000000000000000
χ824-4-4444-4-4-4-444-44-4-4400000000-4444-400004-40000000000000000000000000000000000000000000000000000000000
χ834-4-4-44-4444-44-4000000000000000000000000000000004-40000000000000000000002-22-20-22-22000000000000000000
χ844-4-4-44-4444-44-4000000000000000000000000000000004-4000000000000000000000-22-2202-22-2000000000000000000
χ854-4-4-44-4444-44-400000000000000000000000000000000-440000000000000000000002-2-220-222-2000000000000000000
χ864-4-4-44-4444-44-400000000000000000000000000000000-44000000000000000000000-222-202-2-22000000000000000000
χ874-4-4-44-444-44-44-4444-400000000-44-4-4400004-40000000000000000000000000000000000000000000000000000000000
χ884-4-4-44-444-44-44-444-44000000004-4-44-40000-440000000000000000000000000000000000000000000000000000000000
χ89888-88-8-8-8-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ908-888-8-8-880000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ918-888-8-8-88000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-888-80000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-888-8000000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8888-8-888-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000

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