Finite Group Databasebeta

← Group #72266256

Character table — Group #72266256

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444448888888888161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222224444222222222244444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-111-1-1-1-11-111-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-111-1-1-1-11-1-1-1-1-111111111-1-111-1-111
χ511111111111111111111111111111111111111-1-111-1-11111-1-111-1-11111111111-1-1-1-1-1-111-1-1-11-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-111-1-1
χ711111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111111111111111111111-1-1-1-11111-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111
χ121111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-1-1-1111111111-1-1-1-1-1-11111-1-1
χ131111111111111111111111111111111111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ141111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11-111111111-1-1-1-111-1-1-1-111
χ151111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ161111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1
χ17222222222222222222222-2-2-2-2222-2-2-2-2-2-2222200002200000000220000-2-2-2-22222220000-2-2000000-2-20000000000000000000000
χ18222222222222222222222-2-2-2-2222-2-2-2-2-2-222220000-2-200000000-2-20000-2-2-2-222-2-2-2-2000022000000220000000000000000000000
χ19222222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2000022000000002200002222-2-2-2-2-2-20000-2-2000000220000000000000000000000
χ20222222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-20000-2-200000000-2-200002222-2-22222000022000000-2-20000000000000000000000
χ21222222222222222-2-2-2-2-2-222222-2-222-2-2-2-200002222000000222200000000000022-2-2-2-2-2-2000000002-20000000000000000000000
χ22222222222222222-2-2-2-2-2-222222-2-222-2-2-2-2000022-2-200000022-2-2000000000000-2-222-2-22200000000-220000000000000000000000
χ23222222222222222-2-2-2-2-2-222222-2-222-2-2-2-20000-2-222000000-2-222000000000000-2-22222-2-200000000-220000000000000000000000
χ24222222222222222-2-2-2-2-2-222222-2-222-2-2-2-20000-2-2-2-2000000-2-2-2-200000000000022-2-22222000000002-20000000000000000000000
χ25222222222222222-2-2-2-2-2-2-2-2-2-22-2-2-2-2222200000000000000000000000000000022-2-2000000222-22-2-22-2-200000000000000000000
χ26222222222222222-2-2-2-2-2-2-2-2-2-22-2-2-2-2222200000000000000000000000000000022-2-2000000-2-2-22-22-222200000000000000000000
χ27222222222222222-2-2-2-2-2-2-2-2-2-22-2-2-2-22222000000000000000000000000000000-2-2220000002-22-2-222-2-2200000000000000000000
χ28222222222222222-2-2-2-2-2-2-2-2-2-22-2-2-2-22222000000000000000000000000000000-2-222000000-22-222-22-22-200000000000000000000
χ29222222222222-2-2-2222-2-2-222-2-2-22-22-22-22-20000002222000000-2-2-2-200000000000000002-22-220-2-200002000000000000000000000
χ30222222222222-2-2-2222-2-2-222-2-2-22-22-22-22-200000022-2-2000000-2-22200000000000000002-2-22-20220000-2000000000000000000000
χ31222222222222-2-2-2222-2-2-222-2-2-22-22-22-22-2000000-2-22200000022-2-20000000000000000-222-2-20220000-2000000000000000000000
χ32222222222222-2-2-2222-2-2-222-2-2-22-22-22-22-2000000-2-2-2-200000022220000000000000000-22-2220-2-200002000000000000000000000
χ33222222222222-2-2-2222-2-2-2-2-222-22-2-22-22-2200002200220000-2-200-2-2000000000000002-200-220200-2-2000200000000000000000000
χ34222222222222-2-2-2222-2-2-2-2-222-22-2-22-22-2200002200-2-20000-2-20022000000000000002-2002-20-20022000-200000000000000000000
χ35222222222222-2-2-2222-2-2-2-2-222-22-2-22-22-220000-2-2002200002200-2-200000000000000-2200-220-20022000-200000000000000000000
χ36222222222222-2-2-2222-2-2-2-2-222-22-2-22-22-220000-2-200-2-2000022002200000000000000-22002-20200-2-2000200000000000000000000
χ37222222222222-2-2-2-2-2-222222-2-2-2-222-2-22-222222002200000000-2-200000022-2-2-2-2000000-22000-2002-2000200000000000000000000
χ38222222222222-2-2-2-2-2-222222-2-2-2-222-2-22-22222200-2-2000000002200000022-2-2-2-20000002-2000200-22000-200000000000000000000
χ39222222222222-2-2-2-2-2-222222-2-2-2-222-2-22-22-2-2-2-2002200000000-2-2000000-2-22222000000-22000200-22000-200000000000000000000
χ40222222222222-2-2-2-2-2-222222-2-2-2-222-2-22-22-2-2-2-200-2-20000000022000000-2-222220000002-2000-2002-2000200000000000000000000
χ41222222222222-2-2-2-2-2-2222-2-222-2-22-222-22-222222200000000-2-200000000-2-222-2-20000-220000-202-200002000000000000000000000
χ42222222222222-2-2-2-2-2-2222-2-222-2-22-222-22-22222-2-2000000002200000000-2-222-2-200002-2000020-220000-2000000000000000000000
χ43222222222222-2-2-2-2-2-2222-2-222-2-22-222-22-2-2-2-2-22200000000-2-20000000022-2-2220000-22000020-220000-2000000000000000000000
χ44222222222222-2-2-2-2-2-2222-2-222-2-22-222-22-2-2-2-2-2-2-200000000220000000022-2-22200002-20000-202-200002000000000000000000000
χ4522222222-2-2-2-222-22-2-222-22222-22-2-2-222-2-22i2i−2i−2i0000002222000000-2-2-2-22i−2i2i−2i2i−2i000000000000000000002i2i−2i−2i0000000000000000
χ4622222222-2-2-2-222-22-2-222-22222-22-2-2-222-2-22i2i−2i−2i000000-2-2-2-200000022222i−2i2i−2i2i−2i00000000000000000000−2i−2i2i2i0000000000000000
χ4722222222-2-2-2-222-22-2-222-22222-22-2-2-222-2-2−2i−2i2i2i0000002222000000-2-2-2-2−2i2i−2i2i−2i2i00000000000000000000−2i−2i2i2i0000000000000000
χ4822222222-2-2-2-222-22-2-222-22222-22-2-2-222-2-2−2i−2i2i2i000000-2-2-2-20000002222−2i2i−2i2i−2i2i000000000000000000002i2i−2i−2i0000000000000000
χ4922222222-2-2-2-222-22-2-222-2-2-2-2-2-22-222-2-2222i2i−2i−2i00000000000000000000−2i2i−2i2i2i−2i0000000000000000000000002i2i−2i−2i22-2-200000000
χ5022222222-2-2-2-222-22-2-222-2-2-2-2-2-22-222-2-2222i2i−2i−2i00000000000000000000−2i2i−2i2i2i−2i000000000000000000000000−2i−2i2i2i-2-22200000000
χ5122222222-2-2-2-222-22-2-222-2-2-2-2-2-22-222-2-222−2i−2i2i2i000000000000000000002i−2i2i−2i−2i2i0000000000000000000000002i2i−2i−2i-2-22200000000
χ5222222222-2-2-2-222-22-2-222-2-2-2-2-2-22-222-2-222−2i−2i2i2i000000000000000000002i−2i2i−2i−2i2i000000000000000000000000−2i−2i2i2i22-2-200000000
χ5322222222-2-2-2-2-2-22-22222-222-2-22-2-2-22-222-22i2i−2i−2i000000000000000000002i−2i−2i2i−2i2i00000000000000000000000000000000002-2002i−2i
χ5422222222-2-2-2-2-2-22-22222-222-2-22-2-2-22-222-22i2i−2i−2i000000000000000000002i−2i−2i2i−2i2i0000000000000000000000000000000000-2200−2i2i
χ5522222222-2-2-2-2-2-22-22222-222-2-22-2-2-22-222-2−2i−2i2i2i00000000000000000000−2i2i2i−2i2i−2i00000000000000000000000000000000002-200−2i2i
χ5622222222-2-2-2-2-2-22-22222-222-2-22-2-2-22-222-2−2i−2i2i2i00000000000000000000−2i2i2i−2i2i−2i0000000000000000000000000000000000-22002i−2i
χ5722222222-2-2-2-2-2-22-22222-2-2-2222-2-22-22-2-222i2i−2i−2i00000000000000000000−2i2i2i−2i−2i2i000000000000000000000000000000002-2002i−2i00
χ5822222222-2-2-2-2-2-22-22222-2-2-2222-2-22-22-2-222i2i−2i−2i00000000000000000000−2i2i2i−2i−2i2i00000000000000000000000000000000-2200−2i2i00
χ5922222222-2-2-2-2-2-22-22222-2-2-2222-2-22-22-2-22−2i−2i2i2i000000000000000000002i−2i−2i2i2i−2i000000000000000000000000000000002-200−2i2i00
χ6022222222-2-2-2-2-2-22-22222-2-2-2222-2-22-22-2-22−2i−2i2i2i000000000000000000002i−2i−2i2i2i−2i00000000000000000000000000000000-22002i−2i00
χ6144444444-4-4-4-444-4-444-4-444444-4-44-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ6244444444-4-4-4-444-4-444-4-44-4-4-4-4-4-444444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ6344444444-4-4-4-4-4-444-4-4-4-4444-4-4444-444-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ6444444444-4-4-4-4-4-444-4-4-4-44-4-4444444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ6544-4-44-4-4444-4-40000004-44000000-40000004i−4i4i−4i00000022-2-200000022-2-2000000000000000000000000002i−2i2i−2i0000000000000000
χ6644-4-44-4-4444-4-40000004-44000000-40000004i−4i4i−4i000000-2-222000000-2-22200000000000000000000000000−2i2i−2i2i0000000000000000
χ6744-4-44-4-4444-4-40000004-44000000-4000000−4i4i−4i4i00000022-2-200000022-2-200000000000000000000000000−2i2i−2i2i0000000000000000
χ6844-4-44-4-4444-4-40000004-44000000-4000000−4i4i−4i4i000000-2-222000000-2-222000000000000000000000000002i−2i2i−2i0000000000000000
χ6944-4-44-4-44-4-4440000004-4-400000040000004-4-4400000022-2-2000000-2-222000000000000000000000000002-2-220000000000000000
χ7044-4-44-4-44-4-4440000004-4-400000040000004-4-44000000-2-22200000022-2-200000000000000000000000000-222-20000000000000000
χ7144-4-44-4-44-4-4440000004-4-40000004000000-444-400000022-2-2000000-2-22200000000000000000000000000-222-20000000000000000
χ7244-4-44-4-44-4-4440000004-4-40000004000000-444-4000000-2-22200000022-2-2000000000000000000000000002-2-220000000000000000
χ734-444-4-4-444-44-44-440000000000-40000000000000000002-22-20000002-22-2000000004i−4i000000000000000000002i−2i2i−2i000000000000
χ744-444-4-4-444-44-44-440000000000-40000000000000000002-22-20000002-22-200000000−4i4i00000000000000000000−2i2i−2i2i000000000000
χ754-444-4-4-444-44-44-440000000000-4000000000000000000-22-22000000-22-22000000004i−4i00000000000000000000−2i2i−2i2i000000000000
χ764-444-4-4-444-44-44-440000000000-4000000000000000000-22-22000000-22-2200000000−4i4i000000000000000000002i−2i2i−2i000000000000
χ774-444-4-4-44-44-444-4-4000000000040000000000000000002-22-2000000-22-220000004-400000000000000000000002-2-22000000000000
χ784-444-4-4-44-44-444-4-4000000000040000000000000000002-22-2000000-22-22000000-440000000000000000000000-222-2000000000000
χ794-444-4-4-44-44-444-4-400000000004000000000000000000-22-220000002-22-20000004-40000000000000000000000-222-2000000000000
χ804-444-4-4-44-44-444-4-400000000004000000000000000000-22-220000002-22-2000000-4400000000000000000000002-2-22000000000000
χ814-4-4-4-44444-4-44000-44-40000000040000000000000004-42-2-220000002-2-2200000000000000000000000000000000002-22-200000000
χ824-4-4-4-44444-4-44000-44-40000000040000000000000004-4-222-2000000-222-20000000000000000000000000000000000-22-2200000000
χ834-4-4-4-44444-4-44000-44-4000000004000000000000000-442-2-220000002-2-220000000000000000000000000000000000-22-2200000000
χ844-4-4-4-44444-4-44000-44-4000000004000000000000000-44-222-2000000-222-200000000000000000000000000000000002-22-200000000
χ854-4-4-4-4444-444-4000-4-44000000004000000000000000002-2-2200004-4-222-200000000000000000000000000000000002-2-2200000000
χ864-4-4-4-4444-444-4000-4-44000000004000000000000000002-2-220000-44-222-20000000000000000000000000000000000-222-200000000
χ874-4-4-4-4444-444-4000-4-4400000000400000000000000000-222-200004-42-2-220000000000000000000000000000000000-222-200000000
χ884-4-4-4-4444-444-4000-4-4400000000400000000000000000-222-20000-442-2-2200000000000000000000000000000000002-2-2200000000
χ8988-8-88-8-8888-8-8000000-88-800000080000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-88-8-88-8-888000000-888000000-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ918-888-8-8-888-88-8-88-800000000008000000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-888-8-8-88-88-88-8880000000000-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-888-8-80000000000000008-80000000000000004-4000000004-40000000000000000000000000000000000000000000000000000
χ948-88-888-8-80000000000000008-8000000000000000-4400000000-440000000000000000000000000000000000000000000000000000
χ958-88-888-8-8000000000000000-880000000000000004-400000000-440000000000000000000000000000000000000000000000000000
χ968-88-888-8-8000000000000000-88000000000000000-44000000004-40000000000000000000000000000000000000000000000000000
χ978-8-888-88-800000000000008-80000000000000004-4000000004-4000000000000000000000000000000000000000000000000000000
χ988-8-888-88-800000000000008-8000000000000000-4400000000-44000000000000000000000000000000000000000000000000000000
χ998-8-888-88-80000000000000-880000000000000004-400000000-44000000000000000000000000000000000000000000000000000000
χ1008-8-888-88-80000000000000-88000000000000000-44000000004-4000000000000000000000000000000000000000000000000000000
χ1018-8-8-8-88888-8-880008-8800000000-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8-8888-888-800088-800000000-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ103161616-16-16-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1041616-1616-1616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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