Finite Group Databasebeta

← Group #72317982

Character table — Group #72317982

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11222222244444444448888888888888161616161616161616161616161616161616323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222222222224444444422244444444444444444444444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-111-1-1-1-11-11111-1-1-1-111-1-111-1-1
χ311111111111111111111111111111111111111111111111111-11-1-11-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-111-1-111
χ411111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111111111-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111-111-1111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-111111-1-111-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-111-111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ91111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1111111-1-1-1-11-1-1-1-1-11111-1-111-1-111
χ111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111111-1-111-1-1-11-1-1-1-1111111-1-111-1-1
χ121111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ131111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-111-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ141111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1-1-111-1-1-1111111111-1-11111-1-1
χ151111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11-11111111111-1-1-1-111
χ161111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1
χ1722222222222222222222222222-2-2-2-222-2-200000000-2-22222-2-20020020000000022-2-2-2-22222220000-2-20000000000-2-2000000000000000000
χ1822222222222222222222222222-2-2-2-222-2-200000000-2-22222-2-200-200-200000000-2-2-2-2-2-222-2-2-2-2000022000000000022000000000000000000
χ1922222222222222222222222222-2-2-2-222-2-200000000-2-2-2-2-2-2-2-200200200000000222222-2-2-2-2-2-20000-2-2000000000022000000000000000000
χ2022222222222222222222222222-2-2-2-222-2-200000000-2-2-2-2-2-2-2-200-200-200000000-2-22222-2-222220000220000000000-2-2000000000000000000
χ21222222222222222-2-2-2-2222-2-2-2-22222-2-22222222222-2-22i2i−2i−2i-2-20000000000-2-2-2-2002i2i−2i−2i2i−2i0000000000000000000000002i2i−2i−2i000000000000
χ22222222222222222-2-2-2-2222-2-2-2-22222-2-22222222222-2-2−2i−2i2i2i-2-20000000000-2-2-2-200−2i−2i2i2i−2i2i000000000000000000000000−2i−2i2i2i000000000000
χ23222222222222222-2-2-2-2222-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-22i2i−2i−2i-2-200000000002222002i2i−2i−2i2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ24222222222222222-2-2-2-2222-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i-2-20000000000222200−2i−2i2i2i−2i2i0000000000000000000000002i2i−2i−2i000000000000
χ25222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-200000000222i2i−2i−2i220000000000000000−2i−2i2i2i2i−2i00000000000022-2-20000000000002i2i−2i−2i00000000
χ26222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-200000000222i2i−2i−2i220000000000000000−2i−2i2i2i2i−2i000000000000-2-222000000000000−2i−2i2i2i00000000
χ27222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-20000000022−2i−2i2i2i2200000000000000002i2i−2i−2i−2i2i00000000000022-2-2000000000000−2i−2i2i2i00000000
χ28222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-20000000022−2i−2i2i2i2200000000000000002i2i−2i−2i−2i2i000000000000-2-2220000000000002i2i−2i−2i00000000
χ2922222222222-2-2-2-222222-2-22-2-2-222222-2-2-200000000220000-2-2220220222200000000000022-2-2-2-2-2-20000000000002-2000000000000000000
χ3022222222222-2-2-2-222222-2-22-2-2-222222-2-2-200000000220000-2-22-202-2022-2-2000000000000-2-222-2-222000000000000-22000000000000000000
χ3122222222222-2-2-2-222222-2-22-2-2-222222-2-2-200000000220000-2-2-220-220-2-222000000000000-2-22222-2-2000000000000-22000000000000000000
χ3222222222222-2-2-2-222222-2-22-2-2-222222-2-2-200000000220000-2-2-2-20-2-20-2-2-2-200000000000022-2-222220000000000002-2000000000000000000
χ3322222222222-2-2-2-222222-2-22-2-2-2-2-2-2-22-22200000000-2-2000022000000000000000000000022-2-20000002200002-22-2-22-2-20000000000000000
χ3422222222222-2-2-2-222222-2-22-2-2-2-2-2-2-22-22200000000-2-2000022000000000000000000000022-2-2000000-2-20000-22-22-22220000000000000000
χ3522222222222-2-2-2-222222-2-22-2-2-2-2-2-2-22-22200000000-2-20000220000000000000000000000-2-2220000002-200002-2-222-2-220000000000000000
χ3622222222222-2-2-2-222222-2-22-2-2-2-2-2-2-22-22200000000-2-20000220000000000000000000000-2-222000000-220000-222-22-22-20000000000000000
χ37222222222-2-222-2-22222-22-2-22-2-222-2-2-222-2000000002-222222-202002000-2-20000002-22-2-2-20000002-2000-20000002-200020000000000000000
χ38222222222-2-222-2-22222-22-2-22-2-222-2-2-222-2000000002-222222-20-200-2000220000002-22-2-2-2000000-220002000000-22000-20000000000000000
χ39222222222-2-222-2-22222-22-2-22-2-222-2-2-222-2000000002-2-2-2-2-22-202002000-2-2000000-22-22220000002-20002000000-22000-20000000000000000
χ40222222222-2-222-2-22222-22-2-22-2-222-2-2-222-2000000002-2-2-2-2-22-20-200-200022000000-22-2222000000-22000-20000002-200020000000000000000
χ41222222222-2-222-2-22222-22-2-22-2-2-2-222-22-2200000000-222222-22200200-2-200000000-22-22-2-200002-20000-2000002-20000200000000000000000
χ42222222222-2-222-2-22222-22-2-22-2-2-2-222-22-2200000000-222222-22-200-2002200000000-22-22-2-20000-220000200000-220000-200000000000000000
χ43222222222-2-222-2-22222-22-2-22-2-2-2-222-22-2200000000-22-2-2-2-2-22200200-2-2000000002-22-22200002-20000200000-220000-200000000000000000
χ44222222222-2-222-2-22222-22-2-22-2-2-2-222-22-2200000000-22-2-2-2-2-22-200-20022000000002-22-2220000-220000-2000002-20000200000000000000000
χ45222222222-2-222-2-2-2-2-2-2-22-22-22222-2-22-22-200000000-222i2i−2i−2i-2200000000000000002i−2i−2i2i−2i2i00000000000000000000000000000000002-2002i−2i
χ46222222222-2-222-2-2-2-2-2-2-22-22-22222-2-22-22-200000000-222i2i−2i−2i-2200000000000000002i−2i−2i2i−2i2i0000000000000000000000000000000000-2200−2i2i
χ47222222222-2-222-2-2-2-2-2-2-22-22-22222-2-22-22-200000000-22−2i−2i2i2i-220000000000000000−2i2i2i−2i2i−2i00000000000000000000000000000000002-200−2i2i
χ48222222222-2-222-2-2-2-2-2-2-22-22-22222-2-22-22-200000000-22−2i−2i2i2i-220000000000000000−2i2i2i−2i2i−2i0000000000000000000000000000000000-22002i−2i
χ49222222222-2-222-2-2-2-2-2-2-22-22-222-2-2222-2-22000000002-22i2i−2i−2i2-20000000000000000−2i2i2i−2i−2i2i000000000000000000000000000000002-2002i−2i00
χ50222222222-2-222-2-2-2-2-2-2-22-22-222-2-2222-2-22000000002-22i2i−2i−2i2-20000000000000000−2i2i2i−2i−2i2i00000000000000000000000000000000-2200−2i2i00
χ51222222222-2-222-2-2-2-2-2-2-22-22-222-2-2222-2-22000000002-2−2i−2i2i2i2-200000000000000002i−2i−2i2i2i−2i000000000000000000000000000000002-200−2i2i00
χ52222222222-2-222-2-2-2-2-2-2-22-22-222-2-2222-2-22000000002-2−2i−2i2i2i2-200000000000000002i−2i−2i2i2i−2i00000000000000000000000000000000-22002i−2i00
χ53222222222-2-2-2-2222222-2-22-2-22222-2-2-2-2-22000000002-20000-2202202200-2-20000-2-2000000000000-222-2200000-2-20000200000000000000000
χ54222222222-2-2-2-2222222-2-22-2-22222-2-2-2-2-22000000002-20000-2202-202-200-2-2000022000000000000-22-22-200000220000-200000000000000000
χ55222222222-2-2-2-2222222-2-22-2-22222-2-2-2-2-22000000002-20000-220-220-2200220000-2-20000000000002-22-2-200000220000-200000000000000000
χ56222222222-2-2-2-2222222-2-22-2-22222-2-2-2-2-22000000002-20000-220-2-20-2-200220000220000000000002-2-22200000-2-20000200000000000000000
χ57222222222-2-2-2-2222222-2-22-2-222-2-222-2-22-200000000-2200002-2202202-2-2000000-2-20000000000-2200-2202000000-2-200020000000000000000
χ58222222222-2-2-2-2222222-2-22-2-222-2-222-2-22-200000000-2200002-220-220-2-2-2000000220000000000-22002-20-200000022000-20000000000000000
χ59222222222-2-2-2-2222222-2-22-2-222-2-222-2-22-200000000-2200002-2-202-20222000000-2-200000000002-200-220-200000022000-20000000000000000
χ60222222222-2-2-2-2222222-2-22-2-222-2-222-2-22-200000000-2200002-2-20-2-20-2220000002200000000002-2002-202000000-2-200020000000000000000
χ6144444444444-4-4-4-4-4-4-4-44-4-4-44444444-44-4-400000000-4-400004400000000000000000000000000000000000000000000000000000000000000
χ6244444444444-4-4-4-4-4-4-4-44-4-4-4444-4-4-4-4-444400000000440000-4-400000000000000000000000000000000000000000000000000000000000000
χ63444444444-4-4-4-444-4-4-4-4-4-4444-4-444-4-444-4400000000-4400004-400000000000000000000000000000000000000000000000000000000000000
χ64444444444-4-4-4-444-4-4-4-4-4-4444-4-4-4-444444-4000000004-40000-4400000000000000000000000000000000000000000000000000000000000000
χ65444-4-44-4-4400440044-4-40-40040000000-4002222-2-2-2-2004i−4i4i−4i00000000000022-2-2000000000000000000000000000000002i−2i2i−2i000000000000
χ66444-4-44-4-4400440044-4-40-40040000000-4002222-2-2-2-200−4i4i−4i4i00000000000022-2-200000000000000000000000000000000−2i2i−2i2i000000000000
χ67444-4-44-4-4400440044-4-40-40040000000-400-2-2-2-22222004i−4i4i−4i000000000000-2-22200000000000000000000000000000000−2i2i−2i2i000000000000
χ68444-4-44-4-4400440044-4-40-40040000000-400-2-2-2-2222200−4i4i−4i4i000000000000-2-222000000000000000000000000000000002i−2i2i−2i000000000000
χ69444-4-44-4-44004400-4-4440-400-400000004002222-2-2-2-2004-4-44000000000000-2-222000000000000000000000000000000002-2-22000000000000
χ70444-4-44-4-44004400-4-4440-400-400000004002222-2-2-2-200-444-4000000000000-2-22200000000000000000000000000000000-222-2000000000000
χ71444-4-44-4-44004400-4-4440-400-40000000400-2-2-2-22222004-4-4400000000000022-2-200000000000000000000000000000000-222-2000000000000
χ72444-4-44-4-44004400-4-4440-400-40000000400-2-2-2-2222200-444-400000000000022-2-2000000000000000000000000000000002-2-22000000000000
χ7344-444-4-4-444400004-44-4-40040000000-400022-2-222-2-20000000000000000002-22-200000000004i−4i0000000000000000000000002i−2i2i−2i00000000
χ7444-444-4-4-444400004-44-4-40040000000-400022-2-222-2-20000000000000000002-22-20000000000−4i4i000000000000000000000000−2i2i−2i2i00000000
χ7544-444-4-4-444400004-44-4-40040000000-4000-2-222-2-222000000000000000000-22-2200000000004i−4i000000000000000000000000−2i2i−2i2i00000000
χ7644-444-4-4-444400004-44-4-40040000000-4000-2-222-2-222000000000000000000-22-220000000000−4i4i0000000000000000000000002i−2i2i−2i00000000
χ7744-444-4-4-44440000-44-44-400-40000000400022-2-222-2-2000000000000000000-22-22000000004-4000000000000000000000000002-2-2200000000
χ7844-444-4-4-44440000-44-44-400-40000000400022-2-222-2-2000000000000000000-22-2200000000-4400000000000000000000000000-222-200000000
χ7944-444-4-4-44440000-44-44-400-400000004000-2-222-2-2220000000000000000002-22-2000000004-400000000000000000000000000-222-200000000
χ8044-444-4-4-44440000-44-44-400-400000004000-2-222-2-2220000000000000000002-22-200000000-44000000000000000000000000002-2-2200000000
χ8144-4-4-4-44440000444-4-4400-4004-40000000022-2-2-2-2220000000000400-400002-2-22000000000000000000002-22-2000000000000000000000000
χ8244-4-4-4-44440000444-4-4400-4004-40000000022-2-2-2-2220000000000-400400002-2-2200000000000000000000-22-22000000000000000000000000
χ8344-4-4-4-44440000444-4-4400-4004-400000000-2-22222-2-20000000000400-40000-222-200000000000000000000-22-22000000000000000000000000
χ8444-4-4-4-44440000444-4-4400-4004-400000000-2-22222-2-20000000000-40040000-222-2000000000000000000002-22-2000000000000000000000000
χ8544-4-4-4-4444000044-444-400-400-440000000022-2-2-2-222000000000000000000-222-24-40000000000000000002-2-22000000000000000000000000
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χ8844-4-4-4-4444000044-444-400-400-4400000000-2-22222-2-20000000000000000002-2-22-440000000000000000002-2-22000000000000000000000000
χ89888-8-88-8-8800-8-80088-8-80800-80000000800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ90888-8-88-8-8800-8-800-8-888080080000000-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-888-8-8-88-8-800008-88-8800-800000008000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-888-8-8-88-8-80000-88-8880080000000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-88-888-8-800000000000000000008-8000000000000000000000400-40004-40000000000000000000000000000000000000000000000000000
χ9488-88-888-8-800000000000000000008-8000000000000000000000-4004000-440000000000000000000000000000000000000000000000000000
χ9588-88-888-8-80000000000000000000-88000000000000000000000400-4000-440000000000000000000000000000000000000000000000000000
χ9688-88-888-8-80000000000000000000-88000000000000000000000-40040004-40000000000000000000000000000000000000000000000000000
χ9788-8-888-88-8000000000000000008-80000000000000000000000400-4004-4000000000000000000000000000000000000000000000000000000
χ9888-8-888-88-8000000000000000008-80000000000000000000000-400400-44000000000000000000000000000000000000000000000000000000
χ9988-8-888-88-800000000000000000-880000000000000000000000400-400-44000000000000000000000000000000000000000000000000000000
χ10088-8-888-88-800000000000000000-880000000000000000000000-4004004-4000000000000000000000000000000000000000000000000000000
χ10188-8-8-8-88880000-8-88-8-8800800-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-8-88880000-8-8-888-8008008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316161616-16-16-1616-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ104161616-1616-1616-16-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10516-1600000008-88-88-800000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000
χ10616-1600000008-88-88-80000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000
χ10716-1600000008-8-88-88000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000
χ10816-1600000008-8-88-8800000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-160000000-888-8-880000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-160000000-888-8-88000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ11116-160000000-88-888-800000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ11216-160000000-88-888-80000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000

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