Finite Group Databasebeta

← Group #72335027

Character table — Group #72335027

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115
size112222222444444444488888888888888816161616163232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232326464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222244224442222244444444444444444444444444444444444444444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11111-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1-111
χ3111111111111111111111111111111111111111111-11111-1111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-11-1-11-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111-1-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111
χ511111111111111111111111111111111111111111-11111-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1111111111-1-1-1-1
χ611111111111111111111111111111111111111111-11-111-11-1-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-11-1-11-1-1-1-1-111-1-111-1-1
χ711111111111111111111111111111111111111111-1-1111-1-11-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111111111111111111-1-1111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111111111111111111111111-1-111-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1-11-1-11111-1-11111-1-1
χ11111111111111111111111111111111111111111-1-11-11-1-11-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-11-1-11-1111111-1-111-1-1
χ12111111111111111111111111111111111111111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-11111-1-11-1-11-1-1-1-11111-1-1-1-1
χ13111111111111111111111111111111111111111-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-11111
χ14111111111111111111111111111111111111111-1-1-11-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-11-11111-1-111-1-111
χ15111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111-1-11-1-1111111-1-1-1-111
χ16111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111
χ17222222222222222222222222222-2-2-2-22-2-2-2-2-2-2-2000000000000000000002222-2-200000000000000-2-2-2-22200000000000022-2-2-22000000000000
χ18222222222222222222222222222-2-2-2-22-2-2-2-2-2-2-20000000000000000000022-2-22200000000000000-2-222-2-20000000000002-22-22-2000000000000
χ19222222222222222222222222222-2-2-2-22-2-2-2-2-2-2-200000000000000000000-2-222220000000000000022-2-2-2-2000000000000-2222-2-2000000000000
χ20222222222222222222222222222-2-2-2-22-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-200000000000000222222000000000000-2-2-2222000000000000
χ2122222222222222-2-2-22-2222-2-2-2-2-2-2-2-2-2-222-2-2222000000000000000000000000002i2i2i−2i−2i−2i000000000000002i−2i00000000000000002i2i−2i−2i0000002-2
χ2222222222222222-2-2-22-2222-2-2-2-2-2-2-2-2-2-222-2-2222000000000000000000000000002i2i2i−2i−2i−2i000000000000002i−2i0000000000000000−2i−2i2i2i000000-22
χ2322222222222222-2-2-22-2222-2-2-2-2-2-2-2-2-2-222-2-222200000000000000000000000000−2i−2i−2i2i2i2i00000000000000−2i2i00000000000000002i2i−2i−2i000000-22
χ2422222222222222-2-2-22-2222-2-2-2-2-2-2-2-2-2-222-2-222200000000000000000000000000−2i−2i−2i2i2i2i00000000000000−2i2i0000000000000000−2i−2i2i2i0000002-2
χ2522222222222-2-2-2222-222-2-22-2-2-2-222222-2-2-2-222-2000220002200-2-22200000000-2-20000000000000000002200002-2-2-2000000200-2000000000000
χ2622222222222-2-2-2222-222-2-22-2-2-2-222222-2-2-2-222-20002-20002-200-2-2-2-20000000022000000000000000000-2-200002-222000000-2002000000000000
χ2722222222222-2-2-2222-222-2-22-2-2-2-222222-2-2-2-222-2000-22000-220022220000000022000000000000000000-2-20000-22-2-2000000-2002000000000000
χ2822222222222-2-2-2222-222-2-22-2-2-2-222222-2-2-2-222-2000-2-2000-2-20022-2-200000000-2-2000000000000000000220000-2222000000200-2000000000000
χ2922222222222-2-2-2222-222-2-22-2-2-2-2-2-2-2-222222-2-220020000200-2-2000000000000222-2-22-2-200000000000022222-20000000000-200-2000000000000
χ3022222222222-2-2-2222-222-2-22-2-2-2-2-2-2-2-222222-2-220020000200-2-2000000000000-2-2-222-222000000000000-2-2-2-22-200000000002002000000000000
χ3122222222222-2-2-2222-222-2-22-2-2-2-2-2-2-2-222222-2-2200-20000-2002200000000000022-222-22200000000000022-2-2-220000000000-200-2000000000000
χ3222222222222-2-2-2222-222-2-22-2-2-2-2-2-2-2-222222-2-2200-20000-20022000000000000-2-22-2-22-2-2000000000000-2-222-2200000000002002000000000000
χ3322222222222-2-2-2-2-2-2-2-22-2-2-222222222-222-2-2-2-222200022000000000-2-2-2-20000002i−2i−2i−2i2i2i000000000000002i−2i0000000000000000000000002i−2i00
χ3422222222222-2-2-2-2-2-2-2-22-2-2-222222222-222-2-2-2-222200022000000000-2-2-2-2000000−2i2i2i2i−2i−2i00000000000000−2i2i000000000000000000000000−2i2i00
χ3522222222222-2-2-2-2-2-2-2-22-2-2-222222222-222-2-2-2-22-2-2000-2-200000000022220000002i−2i−2i−2i2i2i000000000000002i−2i000000000000000000000000−2i2i00
χ3622222222222-2-2-2-2-2-2-2-22-2-2-222222222-222-2-2-2-22-2-2000-2-20000000002222000000−2i2i2i2i−2i−2i00000000000000−2i2i0000000000000000000000002i−2i00
χ37222222222-2-22-2-222222-22-2-222-2-222-2-2-2222-22-2-20022000220-2-222000000-2-200000000000000000022000000-22-2-2000000200-200000000000000
χ38222222222-2-22-2-222222-22-2-222-2-222-2-2-2222-22-2-2002-20002-20-2-2-2-200000022000000000000000000-2-2000000-2222000000-200200000000000000
χ39222222222-2-22-2-222222-22-2-222-2-222-2-2-2222-22-2-200-22000-220222200000022000000000000000000-2-20000002-2-2-2000000-200200000000000000
χ40222222222-2-22-2-222222-22-2-222-2-222-2-2-2222-22-2-200-2-2000-2-2022-2-2000000-2-2000000000000000000220000002-222000000200-200000000000000
χ41222222222-2-22-2-222222-22-2-222-2-2-2-222-2-2-2-22-22200002000020000-2-20000220000-22-2-22-2000000002200002200002-20000-200-200000000000000
χ42222222222-2-22-2-222222-22-2-222-2-2-2-222-2-2-2-22-22200002000020000-2-20000-2-200002-222-2200000000-2-20000-2-200002-20000200200000000000000
χ43222222222-2-22-2-222222-22-2-222-2-2-2-222-2-2-2-22-2220000-20000-200002200002200002-222-2200000000220000-2-20000-220000-200-200000000000000
χ44222222222-2-22-2-222222-22-2-222-2-2-2-222-2-2-2-22-2220000-20000-20000220000-2-20000-22-2-22-200000000-2-20000220000-220000200200000000000000
χ45222222222-2-22-2-2-2-2-22-2-22-22-2-22222-2-22-2-22-2-222000000000000000000000000002i−2i2i−2i2i−2i00000000000000−2i2i0000002i2i−2i−2i00000000002-2000000
χ46222222222-2-22-2-2-2-2-22-2-22-22-2-22222-2-22-2-22-2-222000000000000000000000000002i−2i2i−2i2i−2i00000000000000−2i2i000000−2i−2i2i2i0000000000-22000000
χ47222222222-2-22-2-2-2-2-22-2-22-22-2-22222-2-22-2-22-2-22200000000000000000000000000−2i2i−2i2i−2i2i000000000000002i−2i0000002i2i−2i−2i0000000000-22000000
χ48222222222-2-22-2-2-2-2-22-2-22-22-2-22222-2-22-2-22-2-22200000000000000000000000000−2i2i−2i2i−2i2i000000000000002i−2i000000−2i−2i2i2i00000000002-2000000
χ49222222222-2-2-222222-22-2-22-2-2-22222-2-2-2-2-2-222-22000200002000-2-2000000002200-2-22-2-22000000000022002200-220000000-200-20000000000000
χ50222222222-2-2-222222-22-2-22-2-2-22222-2-2-2-2-2-222-22000200002000-2-200000000-2-20022-222-20000000000-2-200-2-200-22000000020020000000000000
χ51222222222-2-2-222222-22-2-22-2-2-22222-2-2-2-2-2-222-22000-20000-20002200000000220022-222-200000000002200-2-2002-20000000-200-20000000000000
χ52222222222-2-2-222222-22-2-22-2-2-22222-2-2-2-2-2-222-22000-20000-20002200000000-2-200-2-22-2-220000000000-2-20022002-2000000020020000000000000
χ53222222222-2-2-222222-22-2-22-2-2-222-2-222-2222-2-22-200202002022200-2-2000000-2-2000000000000000000220000-2-200-2200000200-20000000000000
χ54222222222-2-2-222222-22-2-22-2-2-222-2-222-2222-2-22-20020-20020-222002200000022000000000000000000-2-20000-2-2002-200000-20020000000000000
χ55222222222-2-2-222222-22-2-22-2-2-222-2-222-2222-2-22-200-20200-202-2-200-2-200000022000000000000000000-2-200002200-2200000-20020000000000000
χ56222222222-2-2-222222-22-2-22-2-2-222-2-222-2222-2-22-200-20-200-20-2-2-20022000000-2-200000000000000000022000022002-200000200-20000000000000
χ57222222222-2-2-222-2-2-2-2-2-2-22222-2-2-2-2222-2-22-22-22000000000000000000000000002i2i−2i−2i−2i2i2i2i2i2i−2i−2i−2i−2i000000−2i2i00000000000000000000002-20000
χ58222222222-2-2-222-2-2-2-2-2-2-22222-2-2-2-2222-2-22-22-22000000000000000000000000002i2i−2i−2i−2i2i−2i−2i−2i−2i2i2i2i2i000000−2i2i0000000000000000000000-220000
χ59222222222-2-2-222-2-2-2-2-2-2-22222-2-2-2-2222-2-22-22-2200000000000000000000000000−2i−2i2i2i2i−2i2i2i2i2i−2i−2i−2i−2i0000002i−2i0000000000000000000000-220000
χ60222222222-2-2-222-2-2-2-2-2-2-22222-2-2-2-2222-2-22-22-2200000000000000000000000000−2i−2i2i2i2i−2i−2i−2i−2i−2i2i2i2i2i0000002i−2i00000000000000000000002-20000
χ6144444444444444-4-4-44-4444-4-4-4-4-44444-4-4-444-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ6244444444444-4-4-4-4-4-4-4-44-4-4-44444-4-4-4-4-4-4-44444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ63444444444-4-44-4-4-4-4-44-4-44-44-4-444-4-444444-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ64444444444-4-4-444-4-4-4-4-4-4-44444-4-444-4-4444-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ65444-4-444-4-4000444-4-40400-40004-40000000000002-20002-200000000022-2-200000000000000000000004-400000000002-22-2000000000000000000
χ66444-4-444-4-4000444-4-40400-40004-40000000000002-20002-200000000022-2-20000000000000000000000-440000000000-22-22000000000000000000
χ67444-4-444-4-4000444-4-40400-40004-4000000000000-22000-22000000000-2-22200000000000000000000004-40000000000-22-22000000000000000000
χ68444-4-444-4-4000444-4-40400-40004-4000000000000-22000-22000000000-2-2220000000000000000000000-4400000000002-22-2000000000000000000
χ69444-4-444-4-4000-4-4-4440-40040004-40000000000002-20002-2000000000-2-222004i−4i0000000000000000000000000000002i−2i−2i2i000000000000000000
χ70444-4-444-4-4000-4-4-4440-40040004-40000000000002-20002-2000000000-2-22200−4i4i000000000000000000000000000000−2i2i2i−2i000000000000000000
χ71444-4-444-4-4000-4-4-4440-40040004-4000000000000-22000-2200000000022-2-2004i−4i000000000000000000000000000000−2i2i2i−2i000000000000000000
χ72444-4-444-4-4000-4-4-4440-40040004-4000000000000-22000-2200000000022-2-200−4i4i0000000000000000000000000000002i−2i−2i2i000000000000000000
χ7344-44-44-44-400400-44-4440-4004-4000000000000002-2000-220000000002-22-200000000000022-2-222-2-24-40000000000000000000000000000000000
χ7444-44-44-44-400400-44-4440-4004-4000000000000002-2000-220000000002-22-2000000000000-2-222-2-222-440000000000000000000000000000000000
χ7544-44-44-44-400400-44-4440-4004-400000000000000-220002-2000000000-22-2200000000000022-2-222-2-2-440000000000000000000000000000000000
χ7644-44-44-44-400400-44-4440-4004-400000000000000-220002-2000000000-22-22000000000000-2-222-2-2224-40000000000000000000000000000000000
χ7744-44-44-44-400-4004-44-4-404004-4000000000000002-2000-22000000000-22-224i−4i00000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ7844-44-44-44-400-4004-44-4-404004-4000000000000002-2000-22000000000-22-22−4i4i0000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ7944-44-44-44-400-4004-44-4-404004-400000000000000-220002-20000000002-22-24i−4i0000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ8044-44-44-44-400-4004-44-4-404004-400000000000000-220002-20000000002-22-2−4i4i00000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ8144-4-444-4-444400044-40-4-400400000000-4000000022000-2-2000000000-222-200004i−4i000000000000000000000000000000000000002i−2i2i−2i00000000
χ8244-4-444-4-444400044-40-4-400400000000-4000000022000-2-2000000000-222-20000−4i4i00000000000000000000000000000000000000−2i2i−2i2i00000000
χ8344-4-444-4-444400044-40-4-400400000000-40000000-2-2000220000000002-2-2200004i−4i00000000000000000000000000000000000000−2i2i−2i2i00000000
χ8444-4-444-4-444400044-40-4-400400000000-40000000-2-2000220000000002-2-220000−4i4i000000000000000000000000000000000000002i−2i2i−2i00000000
χ8544-4-444-4-4444000-4-4404-400-4000000004000000022000-2-20000000002-2-220000000000000000000000004-40000000000000000002-2-2200000000
χ8644-4-444-4-4444000-4-4404-400-4000000004000000022000-2-20000000002-2-22000000000000000000000000-44000000000000000000-222-200000000
χ8744-4-444-4-4444000-4-4404-400-40000000040000000-2-200022000000000-222-20000000000000000000000004-4000000000000000000-222-200000000
χ8844-4-444-4-4444000-4-4404-400-40000000040000000-2-200022000000000-222-2000000000000000000000000-440000000000000000002-2-2200000000
χ89888-8-888-8-800088-8880-800-8000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ90888-8-888-8-8000-8-88-8-808008000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ91888-8-8-8-888000000000000000000008-8000000000040000-4004-40000000000000000000000000000000000000000000000000000000000000000
χ92888-8-8-8-888000000000000000000008-80000000000-40000400-440000000000000000000000000000000000000000000000000000000000000000
χ93888-8-8-8-88800000000000000000000-88000000000040000-400-440000000000000000000000000000000000000000000000000000000000000000
χ94888-8-8-8-88800000000000000000000-880000000000-400004004-40000000000000000000000000000000000000000000000000000000000000000
χ9588-88-88-88-8008008-888-80-800-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-88-88-88-800-800-88-8-880800-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9788-88-8-88-88000000000000000000000008-80000000040000-40004-400000000000000000000000000000000000000000000000000000000000000
χ9888-88-8-88-88000000000000000000000008-800000000-400004000-4400000000000000000000000000000000000000000000000000000000000000
χ9988-88-8-88-8800000000000000000000000-880000000040000-4000-4400000000000000000000000000000000000000000000000000000000000000
χ10088-88-8-88-8800000000000000000000000-8800000000-4000040004-400000000000000000000000000000000000000000000000000000000000000
χ10188-8-888-8-88-8-800088-80-8800-800000000800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-888-8-88-8-8000-8-8808800800000000-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-888-80000000000000000008-80000000000000040000-400004-4000000000000000000000000000000000000000000000000000000000000
χ10488-8-88-888-80000000000000000008-800000000000000-4000040000-44000000000000000000000000000000000000000000000000000000000000
χ10588-8-88-888-8000000000000000000-880000000000000040000-40000-44000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-888-8000000000000000000-8800000000000000-40000400004-4000000000000000000000000000000000000000000000000000000000000
χ1071616161616-16-16-16-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10816-1600000008-888-8000-800000000000000000000000000000000000000000000000000000004i−4i004i−4i000000000000000000000000000000000000
χ10916-1600000008-888-8000-80000000000000000000000000000000000000000000000000000000−4i4i00−4i4i000000000000000000000000000000000000
χ11016-1600000008-8-8-880008000000000000000000000000000000000000000000000000000004-4004-400000000000000000000000000000000000000
χ11116-1600000008-8-8-88000800000000000000000000000000000000000000000000000000000-4400-4400000000000000000000000000000000000000
χ11216-160000000-888-88000-8000000000000000000000000000000000000000000000000000004i−4i00−4i4i00000000000000000000000000000000000000
χ11316-160000000-888-88000-800000000000000000000000000000000000000000000000000000−4i4i004i−4i00000000000000000000000000000000000000
χ11416-160000000-88-88-8000800000000000000000000000000000000000000000000000000000004-400-44000000000000000000000000000000000000
χ11516-160000000-88-88-800080000000000000000000000000000000000000000000000000000000-44004-4000000000000000000000000000000000000

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