Finite Group Databasebeta

← Group #72238604

Character table — Group #72238604

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103
size1122244444444888888888161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464128128128128128128128128128128128128
order1222222222222222222222222222244444444444444222222444444444444444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111111111111111-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1111111111-11-1111-11-1-1-111-1-111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1111111111-11-1-1-11-11-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-111-1-111-1-111
χ111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1111111111-1-11111-1-11-1-111-1-1-1-111-1-1-1-1-1-11111111-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111
χ121111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-11-1-1111111-1-1-1-111-1-11111-1-111-1-1
χ131111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-111111111-111-111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-111111111-111-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-11-1-11111-1-11111-1-111-1-1-1-11111-1-1
χ151111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-111111111-11-1111-11-11-1-1-1-111-1-111-1-11111-1-1-1-1111-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1
χ161111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-111111111-11-11-1-1-11-11-1-1-1-111-1-111111111-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-111-1-1-1-111
χ17222222222222222222222222222-2-22222-2-2-2-2-2-2-2-2-2-22-200002-200-2-222-2-2000000000000000000000000-2-2220000000000000000
χ18222222222222222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-220000-2200-2-2-2-22200000000000000000000000022-2-20000000000000000
χ19222222222222222222-2-2-2-2222-2-222-2-2-2-22222-2-222-2-20000000000-2-20000000000222222220000-2-2-2-20000000000000000000000
χ20222222222222222222-2-2-2-2222-2-222-2-2-2-22222-2-222-2-20000000000-2-20000000000-2-2-2-2-2-2-2-2000022220000000000000000000000
χ21222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-222002-200002-222000022-2-2000000000000000000000000-2-222000000000000
χ22222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-22200-220000-22220000-2-22200000000000000000000000022-2-2000000000000
χ232222222222222222-2-22222-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-22200002200222222000000000000000000000000-2-2-2-20000000000000000
χ242222222222222222-2-22222-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-20000-2-20022-2-2-2-200000000000000000000000022220000000000000000
χ252222222222222222-2-2-2-2-2-2-2-2-22222-2-22222-2-222-2-2220022000022-2-200002222000000000000000000000000-2-2-2-2000000000000
χ262222222222222222-2-2-2-2-2-2-2-2-22222-2-22222-2-222-2-22200-2-20000-2-2-2-20000-2-2-2-20000000000000000000000002222000000000000
χ272222222222222222-2-2-2-2-2-2-2-2-222-2-2-2-222-2-222-2-222-2-200000000002200000000002222-2-2-2-20000-2-2220000000000000000000000
χ282222222222222222-2-2-2-2-2-2-2-2-222-2-2-2-222-2-222-2-222-2-20000000000220000000000-2-2-2-22222000022-2-20000000000000000000000
χ29222222-222-2222-2-2-20022-2-200000002-200002-22-22-22-202020002020000-2-200-2-20022-2-2000000002-20000002-2002-2000000000000
χ30222222-222-2222-2-2-20022-2-200000002-200002-22-22-22-2020-200020-20000-2-2002200-2-22200000000-220000002-200-22000000000000
χ31222222-222-2222-2-2-20022-2-200000002-200002-22-22-22-20-202000-20200002200-2-200-2-22200000000-22000000-22002-2000000000000
χ32222222-222-2222-2-2-20022-2-200000002-200002-22-22-22-20-20-2000-20-200002200220022-2-2000000002-2000000-2200-22000000000000
χ33222222-222-2222-2-2-20022-2-200000002-20000-22-22-22-2202200002200000-2-2-2-20000000022-2-20000002-20000-222-200000000000000
χ34222222-222-2222-2-2-20022-2-200000002-20000-22-22-22-2202-200002-200000-2-22200000000-2-222000000-220000-22-2200000000000000
χ35222222-222-2222-2-2-20022-2-200000002-20000-22-22-22-220-220000-220000022-2-200000000-2-222000000-2200002-22-200000000000000
χ36222222-222-2222-2-2-20022-2-200000002-20000-22-22-22-220-2-20000-2-20000022220000000022-2-20000002-200002-2-2200000000000000
χ37222222-222-2222-2-2-200-2-2220000000-2200002-2-222-2-22202000202000-2-200-2-2000022-2-200000000-2200002-200-2200000000000000
χ38222222-222-2222-2-2-200-2-2220000000-2200002-2-222-2-2220-200020-2000-2-200220000-2-222000000002-200002-2002-200000000000000
χ39222222-222-2222-2-2-200-2-2220000000-2200002-2-222-2-22-202000-2020002200-2-20000-2-222000000002-20000-2200-2200000000000000
χ40222222-222-2222-2-2-200-2-2220000000-2200002-2-222-2-22-20-2000-20-2000220022000022-2-200000000-220000-22002-200000000000000
χ41222222-222-2222-2-2-200-2-2220000000-220000-222-2-222-2200200200200-2-20000-2-200000022-2-2000000-2200-220000-22000000000000
χ42222222-222-2222-2-2-200-2-2220000000-220000-222-2-222-2200-200200-200-2-2000022000000-2-2220000002-200-2200002-2000000000000
χ43222222-222-2222-2-2-200-2-2220000000-220000-222-2-222-2-200200-200200220000-2-2000000-2-2220000002-2002-20000-22000000000000
χ44222222-222-2222-2-2-200-2-2220000000-220000-222-2-222-2-200-200-200-2002200002200000022-2-2000000-22002-200002-2000000000000
χ4522222-22-2-2222-22-2-22222222-2-2222-2-2-2-2-22-222-2-2-2-22200002200002-2000000002200000000-22-2-200002-200000000000000000000
χ4622222-22-2-2222-22-2-22222222-2-2222-2-2-2-2-22-222-2-2-2-2220000-2-200002-200000000-2-2000000002-2220000-2200000000000000000000
χ4722222-22-2-2222-22-2-22222222-2-222-22-2-2-2-2-22-2-22222-2-20000000000-220000000000000000000000000000000000002-22-200000000
χ4822222-22-2-2222-22-2-22222222-2-222-22-2-2-2-2-22-2-22222-2-20000000000-22000000000000000000000000000000000000-22-2200000000
χ4922222-22-2-2222-22-2-222-2-2-2-22-2-2-2-22-222222-22222-2-2-2-20000000000-22000000000000000000000000000000000000000000002i−2i2i−2i
χ5022222-22-2-2222-22-2-222-2-2-2-22-2-2-2-22-222222-22222-2-2-2-20000000000-2200000000000000000000000000000000000000000000−2i2i−2i2i
χ5122222-22-2-2222-22-2-222-2-2-2-22-2-2-2-2-222222-22-2-2-2-2222200000000002-200000000000000000000000000000000000000002-22-20000
χ5222222-22-2-2222-22-2-222-2-2-2-22-2-2-2-2-222222-22-2-2-2-2222200000000002-20000000000000000000000000000000000000000-22-220000
χ5322222-22-2-2222-22-2-2-2-22222-222-2-22-2-2-2222-2-2-22222-2-200000000002-20000000000000000000000000000000000002-2-2200000000
χ5422222-22-2-2222-22-2-2-2-22222-222-2-22-2-2-2222-2-2-22222-2-200000000002-2000000000000000000000000000000000000-222-200000000
χ5522222-22-2-2222-22-2-2-2-22222-222-2-2-22-2-222-2222-2-2-2-2220000220000-2200000000-2-200000000-22-220000-2200000000000000000000
χ5622222-22-2-2222-22-2-2-2-22222-222-2-2-22-2-222-2222-2-2-2-2220000-2-20000-220000000022000000002-22-200002-200000000000000000000
χ5722222-22-2-2222-22-2-2-2-2-2-2-2-2-222222-222-2-22-2-2-2-2-222220000000000-2200000000000000000000000000000000000000002-2-220000
χ5822222-22-2-2222-22-2-2-2-2-2-2-2-2-222222-222-2-22-2-2-2-2-222220000000000-220000000000000000000000000000000000000000-222-20000
χ5922222-22-2-2222-22-2-2-2-2-2-2-2-2-22222-2222-2-2-222222-2-2-2-200000000002-2000000000000000000000000000000000000000000002i−2i−2i2i
χ6022222-22-2-2222-22-2-2-2-2-2-2-2-2-22222-2222-2-2-222222-2-2-2-200000000002-200000000000000000000000000000000000000000000−2i2i2i−2i
χ614444444-4-44-4-44-44-400000000000440000-4-4000000000000220000000000000022000000002-2-2-20000-2200000000000000000000
χ624444444-4-44-4-44-44-400000000000440000-4-4000000000000-2-200000000000000-2-200000000-222200002-200000000000000000000
χ634444444-4-44-4-44-44-400000000000-4-40000440000000000002200000000000000-2-2000000002-2-2200002-200000000000000000000
χ644444444-4-44-4-44-44-400000000000-4-4000044000000000000-2-2000000000000002200000000-222-20000-2200000000000000000000
χ6544444-44444-4-4-4-4-44000000000004-40000-4400000000000022000000000000002200000000-2-2220000-2-200000000000000000000
χ6644444-44444-4-4-4-4-44000000000004-40000-44000000000000-2-200000000000000-2-20000000022-2-200002200000000000000000000
χ6744444-44444-4-4-4-4-4400000000000-4400004-40000000000002200000000000000-2-200000000-2-22-200002200000000000000000000
χ6844444-44444-4-4-4-4-4400000000000-4400004-4000000000000-2-200000000000000220000000022-220000-2-200000000000000000000
χ6944444-4-4-4-4-444-4-4440044-4-40000000-4400004-4-44-444-4000000000000000000000000000000000000000000000000000000000000
χ7044444-4-4-4-4-444-4-4440044-4-40000000-440000-444-44-4-44000000000000000000000000000000000000000000000000000000000000
χ7144444-4-4-4-4-444-4-44400-4-44400000004-400004-44-4-44-44000000000000000000000000000000000000000000000000000000000000
χ7244444-4-4-4-4-444-4-44400-4-44400000004-40000-44-444-44-4000000000000000000000000000000000000000000000000000000000000
χ73888888-8-8-8-8-8-888-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7488888-8-888-8-8-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ75888-8-88000000-8000440000-44-40000000000000000000000000000000000000000004i−4i004i−4i000000000000000000000000000000
χ76888-8-88000000-8000440000-44-4000000000000000000000000000000000000000000−4i4i00−4i4i000000000000000000000000000000
χ77888-8-88000000-8000-4-400004-440000000000000000000000000000000000000000004i−4i00−4i4i000000000000000000000000000000
χ78888-8-88000000-8000-4-400004-44000000000000000000000000000000000000000000−4i4i004i−4i000000000000000000000000000000
χ79888-8-8-80000008000440000-4-4400000000000000000000000000000000000000004-4004-400000000000000000000000000000000
χ80888-8-8-80000008000440000-4-440000000000000000000000000000000000000000-4400-4400000000000000000000000000000000
χ81888-8-8-80000008000-4-4000044-400000000000000000000000000000000000000004-400-4400000000000000000000000000000000
χ82888-8-8-80000008000-4-4000044-40000000000000000000000000000000000000000-44004-400000000000000000000000000000000
χ8388-88-8000008-8000000008-80000000000000000000000400000-40000004-400000000000000000000000000000000000000000000
χ8488-88-8000008-8000000008-80000000000000000000000-4000004000000-4400000000000000000000000000000000000000000000
χ8588-88-8000008-800000000-880000000000000000000000400000-4000000-4400000000000000000000000000000000000000000000
χ8688-88-8000008-800000000-880000000000000000000000-40000040000004-400000000000000000000000000000000000000000000
χ8788-88-800000-880000008-800000000000000000000000400000-4000004-40000000000000000000000000000000000000000000000
χ8888-88-800000-880000008-800000000000000000000000-400000400000-440000000000000000000000000000000000000000000000
χ8988-88-800000-88000000-8800000000000000000000000400000-400000-440000000000000000000000000000000000000000000000
χ9088-88-800000-88000000-8800000000000000000000000-4000004000004-40000000000000000000000000000000000000000000000
χ9188-8-88008-800000000000000004-400004-40000000000000400000-40000004-4000000000000000000000000000000000000000000
χ9288-8-88008-800000000000000004-400004-40000000000000-4000004000000-44000000000000000000000000000000000000000000
χ9388-8-88008-80000000000000000-440000-440000000000000400000-4000000-44000000000000000000000000000000000000000000
χ9488-8-88008-80000000000000000-440000-440000000000000-40000040000004-4000000000000000000000000000000000000000000
χ9588-8-8800-8800000000000000004-40000-44000000000000400000-40000000004-40000000000000000000000000000000000000000
χ9688-8-8800-8800000000000000004-40000-44000000000000-4000004000000000-440000000000000000000000000000000000000000
χ9788-8-8800-880000000000000000-4400004-4000000000000400000-4000000000-440000000000000000000000000000000000000000
χ9888-8-8800-880000000000000000-4400004-4000000000000-40000040000000004-40000000000000000000000000000000000000000
χ9916-160000-80080000008-8000000000000000000000000000004-4000000000000004-400000000000000000000000000000000000000
χ10016-160000-80080000008-800000000000000000000000000000-4400000000000000-4400000000000000000000000000000000000000
χ10116-160000-8008000000-88000000000000000000000000000004-400000000000000-4400000000000000000000000000000000000000
χ10216-160000-8008000000-8800000000000000000000000000000-44000000000000004-400000000000000000000000000000000000000
χ10332-3200001600-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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