Finite Group Databasebeta

← Group #72311270

Character table — Group #72311270

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size112224444444444444488888888888816161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323264646464646464646464
order12222222222222244442222444444442222244444444488882224444444444444444488888888884444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ511111111111111111111111111111111-1-1-1-111-1-1-1-11111111-111-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-11-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111111111111111111111111-1-1-1-1-11111-1-11111-1-1-1111111-111-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1
χ10111111111111111111111111111-1-1-1-1-11111-1-11111-1-1-111111-111-1111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ11111111111111111111111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111
χ12111111111111111111111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ13111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111
χ14111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-111-1-111
χ15111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1
χ16111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1
χ1722222222222-2-2-2-2-2-2-2-22-22-222-2-200000000000000000000000020020000-2-22i2i−2i−2i00002i−2i0000002i−2i0000000000
χ1822222222222-2-2-2-2-2-2-2-22-22-222-2-200000000000000000000000020020000-2-2−2i−2i2i2i0000−2i2i000000−2i2i0000000000
χ1922222222222-2-2-2-2-2-2-2-22-22-222-2-2000000000000000000000000-200-20000222i2i−2i−2i0000−2i2i000000−2i2i0000000000
χ2022222222222-2-2-2-2-2-2-2-22-22-222-2-2000000000000000000000000-200-2000022−2i−2i2i2i00002i−2i0000002i−2i0000000000
χ21222222222-2-222-2-2-2-2-2-2-22-222-22-2000000000000000000000002002000-2-20000002i2i−2i−2i2i−2i000000−2i2i0000000000
χ22222222222-2-222-2-2-2-2-2-2-22-222-22-2000000000000000000000002002000-2-2000000−2i−2i2i2i−2i2i0000002i−2i0000000000
χ23222222222-2-222-2-2-2-2-2-2-22-222-22-200000000000000000000000-200-2000220000002i2i−2i−2i−2i2i0000002i−2i0000000000
χ24222222222-2-222-2-2-2-2-2-2-22-222-22-200000000000000000000000-200-200022000000−2i−2i2i2i2i−2i000000−2i2i0000000000
χ25222222222-2-2-2-2222222-2-2-2-22-2-2222-2-220000220000-2-2-2222200000000000000000000-2-20000-2-2220000000000
χ26222222222-2-2-2-2222222-2-2-2-22-2-2222-2-220000220000-2-2-2-2-2-2-20000000000000000000022000022-2-20000000000
χ27222222222-2-2-2-2222222-2-2-2-22-2-22-2-222-20000-2-20000222222200000000000000000000220000-2-2-2-20000000000
χ28222222222-2-2-2-2222222-2-2-2-22-2-22-2-222-20000-2-20000222-2-2-2-200000000000000000000-2-2000022220000000000
χ292222222-2-22222-2-22222-2-2-2-2-222-2222220000-2-200002-2-20000200200-2-2000000000000000000000000000000-22
χ302222222-2-22222-2-22222-2-2-2-2-222-2222220000-2-200002-2-20000-200-200220000000000000000000000000000002-2
χ312222222-2-22222-2-22222-2-2-2-2-222-2-2-2-2-2-20000220000-2220000200200-2-20000000000000000000000000000002-2
χ322222222-2-22222-2-22222-2-2-2-2-222-2-2-2-2-2-20000220000-2220000-200-20022000000000000000000000000000000-22
χ332222222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2222-2-2-2-222-2-2-2220000000000000000000000000022-2-200000000000000
χ342222222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-22-2-222-2-2-2-222-22200000000000000000000000000-2-22200000000000000
χ352222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-222-2-22222-2-22-2-200000000000000000000000000-2-22200000000000000
χ362222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-2-22222-2-2222-2-20000000000000000000000000022-2-200000000000000
χ3722222-2-2222222-2-22-22-2-2-222-2-2-222222-200002-20000-22-200000220-2-2002-22-20000000000000000000000000000
χ3822222-2-2222222-2-22-22-2-2-222-2-2-222222-200002-20000-22-200000-2-202200-22-220000000000000000000000000000
χ3922222-2-2222222-2-22-22-2-2-222-2-2-22-2-2-2-220000-2200002-22000002-20-22002-2-220000000000000000000000000000
χ4022222-2-2222222-2-22-22-2-2-222-2-2-22-2-2-2-220000-2200002-2200000-2202-200-222-20000000000000000000000000000
χ4122222-2-22222-2-222-22-22-222-2-2-22-200000000000000000022-2-200200-20000-2200002-22-20000002-2000000000000
χ4222222-2-22222-2-222-22-22-222-2-2-22-200000000000000000022-2-200-200200002-20000-22-220000002-2000000000000
χ4322222-2-22222-2-222-22-22-222-2-2-22-2000000000000000000-2-22200200-20000-220000-22-22000000-22000000000000
χ4422222-2-22222-2-222-22-22-222-2-2-22-2000000000000000000-2-22200-200200002-200002-22-2000000-22000000000000
χ4522222-2-222-2-22222-22-222-2-22-22-2-200000000000000000022-2-20200-2000-22002-22-20000000000-22000000000000
χ4622222-2-222-2-22222-22-222-2-22-22-2-200000000000000000022-2-20-20020002-200-22-220000000000-22000000000000
χ4722222-2-222-2-22222-22-222-2-22-22-2-2000000000000000000-2-2220200-2000-2200-22-2200000000002-2000000000000
χ4822222-2-222-2-22222-22-222-2-22-22-2-2000000000000000000-2-2220-20020002-2002-22-200000000002-2000000000000
χ4922222-2-222-2-2-2-2-2-22-22-222-2-2-222222-2-2-200002-200002-2200000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ5022222-2-222-2-2-2-2-2-22-22-222-2-2-222222-2-2-200002-200002-220000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ5122222-2-222-2-2-2-2-2-22-22-222-2-2-2222-2-22220000-220000-22-200000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ5222222-2-222-2-2-2-2-2-22-22-222-2-2-2222-2-22220000-220000-22-20000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ5322222-2-2-2-22222222-22-222-2-22-2-2-22222-20000-220000-2-2200000000000000000000000000000000002-22-2000000
χ5422222-2-2-2-22222222-22-222-2-22-2-2-22222-20000-220000-2-220000000000000000000000000000000000-22-22000000
χ5522222-2-2-2-22222222-22-222-2-22-2-2-2-2-2-2-2200002-2000022-200000000000000000000000000000000002-2-22000000
χ5622222-2-2-2-22222222-22-222-2-22-2-2-2-2-2-2-2200002-2000022-20000000000000000000000000000000000-222-2000000
χ5722222-2-2-2-2-2-2-2-2222-22-2-2-222222-222-2-2-20000-22000022-2000000000000000000000000000000000000002-22-200
χ5822222-2-2-2-2-2-2-2-2222-22-2-2-222222-222-2-2-20000-22000022-200000000000000000000000000000000000000-22-2200
χ5922222-2-2-2-2-2-2-2-2222-22-2-2-222222-2-2-222200002-20000-2-22000000000000000000000000000000000000002-2-2200
χ6022222-2-2-2-2-2-2-2-2222-22-2-2-222222-2-2-222200002-20000-2-2200000000000000000000000000000000000000-222-200
χ614444444-4-444-4-444-4-4-4-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000
χ624444444-4-4-4-44444-4-4-4-44-44-4-4-44400000000000000000000000000000000000000000000000000000000000000
χ6344444-4-4-4-444-4-4-4-4-44-444-4-444-44400000000000000000000000000000000000000000000000000000000000000
χ6444444-4-4-4-4-4-444-4-4-44-44-444-444-4400000000000000000000000000000000000000000000000000000000000000
χ6544-44-400004-44-400-4040000000004-44-402-22-2002-22-2000000000000000000000000000002-22-200000000000000
χ6644-44-400004-44-400-4040000000004-44-40-22-2200-22-2200000000000000000000000000000-22-2200000000000000
χ6744-44-400004-44-400-404000000000-44-4402-22-2002-22-200000000000000000000000000000-22-2200000000000000
χ6844-44-400004-44-400-404000000000-44-440-22-2200-22-22000000000000000000000000000002-22-200000000000000
χ6944-44-40000-44-4400-4040000000004-4-4402-2-22002-2-22000000000000000000000000000002-2-2200000000000000
χ7044-44-40000-44-4400-4040000000004-4-440-222-200-222-200000000000000000000000000000-222-200000000000000
χ7144-44-40000-44-4400-404000000000-444-402-2-22002-2-2200000000000000000000000000000-222-200000000000000
χ7244-44-40000-44-4400-404000000000-444-40-222-200-222-2000000000000000000000000000002-2-2200000000000000
χ7344-4-44004-400004-40-40400000000000002-22-200-22-22000004-4200-2002-200000000000000000000000000000000
χ7444-4-44004-400004-40-40400000000000002-22-200-22-2200000-44-200200-2200000000000000000000000000000000
χ7544-4-44004-400004-40-4040000000000000-22-22002-22-2000004-4-200200-2200000000000000000000000000000000
χ7644-4-44004-400004-40-4040000000000000-22-22002-22-200000-44200-2002-200000000000000000000000000000000
χ7744-4-4400-440000-440-40400000000000002-2-2200-222-20004-400200-200-2200000000000000000000000000000000
χ7844-4-4400-440000-440-40400000000000002-2-2200-222-2000-4400-2002002-200000000000000000000000000000000
χ7944-4-4400-440000-440-4040000000000000-222-2002-2-220004-400-2002002-200000000000000000000000000000000
χ8044-4-4400-440000-440-4040000000000000-222-2002-2-22000-4400200-200-2200000000000000000000000000000000
χ81888-8-88-8000000000000000000000000000440000-4-400000000000000000000000000000000000000000000000
χ82888-8-88-8000000000000000000000000000-4-400004400000000000000000000000000000000000000000000000
χ83888-8-8-880000000000000000000000000440000-4-40000000000000000000000000000000000000000000000000
χ84888-8-8-880000000000000000000000000-4-40000440000000000000000000000000000000000000000000000000
χ8588-88-800008-8-880080-800000000000000000000000000000000000000000000000000000000000000000000000
χ8688-88-80000-888-80080-800000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-88008-80000-88080-80000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8800-8800008-8080-80000000000000000000000000000000000000000000000000000000000000000000000
χ8932-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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