Finite Group Databasebeta

← Group #72316556

Character table — Group #72316556

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size112224444444488888888888161616161616161616161616323232323232323232323232323232323232323232323232323232323232646464646464646464646464128128128128128128128128128128128128128128128128
order1222222222222222222222222222224444442222444444444444444444444444444444444444444444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-111-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-11-1-1-1-1-1-11111-1111-1-1-1111-1-1-1111-1111-11-111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1ii−i−iii−i−i11-1-1ii−i−ii−ii−iii−i−i
χ101111111111-1-11-1-1-1-1-1-11111-1111-1-1-1111-1-1-1111-1111-11-111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−iii−ii−ii−i−iii
χ111111111111-1-11-1-1-1-1-1-11111-1111-1-1-1111-1-1-111-1111-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111ii−i−iii−i−i-1-111ii−i−i−ii−ii−i−iii
χ121111111111-1-11-1-1-1-1-1-11111-1111-1-1-1111-1-1-111-1111-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111−i−iii−i−iii-1-111−i−iiii−ii−iii−i−i
χ131111111111-1-11-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-1-11-1-1-11-11-111-1111111-1-1-1-1-1-11111-111-1-1ii−i−iii−i−i-1-111−i−iiii−ii−i−i−iii
χ141111111111-1-11-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-1-11-1-1-11-11-111-1111111-1-1-1-1-1-11111-111-1-1−i−iii−i−iii-1-111ii−i−i−ii−iiii−i−i
χ151111111111-1-11-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-1-1-11-1-1-111-111-11111-1-111-1-1-1-11111-1-1-111ii−i−iii−i−i11-1-1−i−iii−ii−iiii−i−i
χ161111111111-1-11-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-1-1-11-1-1-111-111-11111-1-111-1-1-1-11111-1-1-111−i−iii−i−iii11-1-1ii−i−ii−ii−i−i−iii
χ1722222222222222222222222222-222-222-222-222002200-2-2-2-2-222220000-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222222222222222222222-222-222-222-2-2-200-2-200-2-2-2-2-2-2-2-2-2000022222222-20000000000000000000000000000
χ192222222222222222222-2-2-2-22222-2-22-2-22-2-2200000000-2-22-2-2000000000000000020000000000000000000022-2-20000
χ202222222222222222222-2-2-2-22222-2-22-2-22-2-2200000000-2-22-2-20000000000000000200000000000000000000-2-2220000
χ212222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-20000000022-2220000000000000000-20000000000000000000000002i−2i2i−2i
χ222222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-20000000022-2220000000000000000-2000000000000000000000000−2i2i−2i2i
χ23222222222222222-2-2-2-222222-2-22-2-22-2-2222200220022-2-2-2220000222200000000-2-2-2-2-2000000000000000000000000
χ24222222222222222-2-2-2-222222-2-22-2-22-2-2222200-2-200-2-2-2-2-2220000-2-2-2-200000000-22222000000000000000000000000
χ25222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-200000000222-2-2000000000000000020000000000002-22-2000000000000
χ26222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-200000000222-2-200000000000000002000000000000-22-22000000000000
χ27222222222222222-2-2-2-2-2-2-2-22-2-22222222-2-220000000022-2-2-20000000000000000-200002222-2-2-2-20000000000000000
χ28222222222222222-2-2-2-2-2-2-2-22-2-22222222-2-220000000022-2-2-20000000000000000-20000-2-2-2-222220000000000000000
χ29222222222222222-2-2-2-2-2-2-2-22-2-2-222-222-2-2-2-200000000-2-22220000000000000000200000000000000002-22-200000000
χ30222222222222222-2-2-2-2-2-2-2-22-2-2-222-222-2-2-2-200000000-2-2222000000000000000020000000000000000-22-2200000000
χ312222222222-2-22-2-222222222-2-2-2222-2-2-22-2-2-2002-2002-2-22-22-2000022-2-2000000002-2-222000000000000000000000000
χ322222222222-2-22-2-222222222-2-2-2222-2-2-22-2-2-200-2200-22-22-22-20000-2-22200000000222-2-2000000000000000000000000
χ332222222222-2-22-2-222222222-2-2-2-2222-2-2-2-2-22000000002-22-220000000000000000-20000000000002-2-22000000000000
χ342222222222-2-22-2-222222222-2-2-2-2222-2-2-2-2-22000000002-22-220000000000000000-2000000000000-222-2000000000000
χ352222222222-2-22-2-22222-2-2-2-2-2-2-22-2-2-222222-2000000002-2-2-220000000000000000200002i2i−2i−2i−2i−2i2i2i0000000000000000
χ362222222222-2-22-2-22222-2-2-2-2-2-2-22-2-2-222222-2000000002-2-2-22000000000000000020000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ372222222222-2-22-2-22222-2-2-2-2-2-2-2-2-2-2222-222200000000-2222-20000000000000000-200000000000000002i−2i−2i2i00000000
χ382222222222-2-22-2-22222-2-2-2-2-2-2-2-2-2-2222-222200000000-2222-20000000000000000-20000000000000000−2i2i2i−2i00000000
χ392222222222-2-22-2-2-2-2-2-22222-222-2-2-2222-2-2-2222002200-22-2-22-2-2-2-20000-2-2-2-2222220000000000000000000000000000
χ402222222222-2-22-2-2-2-2-2-22222-222-2-2-2222-2-2-22-2-200-2-200-22-2-22222200002222-2-2-2-220000000000000000000000000000
χ412222222222-2-22-2-2-2-2-2-2-2-2-2-2-222222-2-2-2222-200000000-222-220000000000000000-2000000000000000000002i−2i−2i2i0000
χ422222222222-2-22-2-2-2-2-2-2-2-2-2-2-222222-2-2-2222-200000000-222-220000000000000000-200000000000000000000−2i2i2i−2i0000
χ432222222222-2-22-2-2-2-2-2-2-2-2-2-2-222-2222-2-2-2222000000002-2-22-2000000000000000020000000000000000000000002-2-22
χ442222222222-2-22-2-2-2-2-2-2-2-2-2-2-222-2222-2-2-2222000000002-2-22-200000000000000002000000000000000000000000-222-2
χ454444444-4-4-444-4-4-4000044-4-440000000004-4000000000000000000000000000000000002-22-22-22-20000000000000000
χ464444444-4-4-444-4-4-4000044-4-440000000004-400000000000000000000000000000000000-22-22-22-220000000000000000
χ474444444-4-4-444-4-4-40000-4-4444000000000-44000000000000000000000000000000000002-22-2-22-220000000000000000
χ484444444-4-4-444-4-4-40000-4-4444000000000-4400000000000000000000000000000000000-22-222-22-20000000000000000
χ494444444-4-4-4-4-4-444000044-4-4-4000000000-44000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ504444444-4-4-4-4-4-444000044-4-4-4000000000-4400000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ514444444-4-4-4-4-4-4440000-4-444-40000000004-4000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ524444444-4-4-4-4-4-4440000-4-444-40000000004-400000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ5344444-4-44-4-44444-400000000-400400400-400-42200-2-2000000022-2-2000022-2-222-2-200000000000000000000000000000
χ5444444-4-44-4-44444-400000000-400400400-400-4-2-200220000000-2-2220000-2-222-2-22200000000000000000000000000000
χ5544444-4-44-4-44444-400000000-400-400-40040042200-2-2000000022-2-20000-2-222-2-22200000000000000000000000000000
χ5644444-4-44-4-44444-400000000-400-400-4004004-2-200220000000-2-222000022-2-222-2-200000000000000000000000000000
χ5744444-4-44-4-4-4-44-4400000000400400-400-40042200-2-20000000-2-222000022-2-2-2-22200000000000000000000000000000
χ5844444-4-44-4-4-4-44-4400000000400400-400-4004-2-20022000000022-2-20000-2-22222-2-200000000000000000000000000000
χ5944444-4-44-4-4-4-44-4400000000400-400400400-42200-2-20000000-2-2220000-2-22222-2-200000000000000000000000000000
χ6044444-4-44-4-4-4-44-4400000000400-400400400-4-2-20022000000022-2-2000022-2-2-2-22200000000000000000000000000000
χ6144444-4-4-44444-4-4400000000-40004-404-4000000220022000000000-2-2-2-20000000002-22-2000000000000000000000000
χ6244444-4-4-44444-4-4400000000-40004-404-4000000-2-200-2-20000000002222000000000-22-22000000000000000000000000
χ6344444-4-4-44444-4-4400000000-4000-440-44000000220022000000000-2-2-2-2000000000-22-22000000000000000000000000
χ6444444-4-4-44444-4-4400000000-4000-440-44000000-2-200-2-200000000022220000000002-22-2000000000000000000000000
χ6544444-4-4-444-4-4-44-40000000040004-40-440000002-2002-2000000000-2-222000000000-222-2000000000000000000000000
χ6644444-4-4-444-4-4-44-40000000040004-40-44000000-2200-2200000000022-2-20000000002-2-22000000000000000000000000
χ6744444-4-4-444-4-4-44-4000000004000-4404-40000002-2002-2000000000-2-2220000000002-2-22000000000000000000000000
χ6844444-4-4-444-4-4-44-4000000004000-4404-4000000-2200-2200000000022-2-2000000000-222-2000000000000000000000000
χ6988-88-8000008-800044-4-4000004-4000000000000004-40000000004-400000000000000000000000000000000000000000
χ7088-88-8000008-800044-4-4000004-400000000000000-44000000000-4400000000000000000000000000000000000000000
χ7188-88-8000008-8000-4-44400000-4400000000004-4000000000004-40000000000000000000000000000000000000000000
χ7288-88-8000008-8000-4-44400000-440000000000-4400000000000-440000000000000000000000000000000000000000000
χ7388-88-800000-8800044-4-400000-4400000000004-400000000000-440000000000000000000000000000000000000000000
χ7488-88-800000-8800044-4-400000-440000000000-44000000000004-40000000000000000000000000000000000000000000
χ7588-88-800000-88000-4-444000004-4000000000000004-4000000000-4400000000000000000000000000000000000000000
χ7688-88-800000-88000-4-444000004-400000000000000-440000000004-400000000000000000000000000000000000000000
χ7788-8-888-8000000000000008-800000000000000004000-4000000000004-40000000000000000000000000000000000000
χ7888-8-888-8000000000000008-80000000000000000-4000400000000000-440000000000000000000000000000000000000
χ7988-8-888-800000000000000-880000000000000004000-400000000004-4000000000000000000000000000000000000000
χ8088-8-888-800000000000000-88000000000000000-400040000000000-44000000000000000000000000000000000000000
χ8188-8-88-880000000000008-80000000000000000004000-400000000000-440000000000000000000000000000000000000
χ8288-8-88-880000000000008-8000000000000000000-40004000000000004-40000000000000000000000000000000000000
χ8388-8-88-88000000000000-88000000000000000004000-40000000000-44000000000000000000000000000000000000000
χ8488-8-88-88000000000000-8800000000000000000-4000400000000004-4000000000000000000000000000000000000000
χ85161616-16-1600016-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ86161616-16-16000-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8716-160000080000-800008-800000000000000000000000000000000000000004i−4i004i−4i00000000000000000000000000000
χ8816-160000080000-800008-80000000000000000000000000000000000000000−4i4i00−4i4i00000000000000000000000000000
χ8916-160000080000-80000-8800000000000000000000000000000000000000004i−4i00−4i4i00000000000000000000000000000
χ9016-160000080000-80000-880000000000000000000000000000000000000000−4i4i004i−4i00000000000000000000000000000
χ9116-1600000-800008008-800000000000000000000000000000000000000004-4004-40000000000000000000000000000000
χ9216-1600000-800008008-80000000000000000000000000000000000000000-4400-440000000000000000000000000000000
χ9316-1600000-80000800-8800000000000000000000000000000000000000004-400-440000000000000000000000000000000
χ9416-1600000-80000800-880000000000000000000000000000000000000000-44004-40000000000000000000000000000000

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