Finite Group Databasebeta

← Group #72314760

Character table — Group #72314760

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112222222444444888888888888888888816161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323264646464646464646464
order12222222222222222222222222444444442222444444444444444424444444444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ101111111111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111
χ111111111111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ121111111111111111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ131111111111111111111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ141111111111111111111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ151111111111111111111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111
χ161111111111111111111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ1722222222222222222-2-222-2-22-2-2-2-2-222-2-2-20000000022-2-200000000000022-2-200000000000000000000002-2000000
χ1822222222222222222-2-222-2-22-2-2-2-2-222-2-2-20000000022-2-2000000000000-2-2220000000000000000000000-22000000
χ1922222222222222222-2-2-2-2222-2-2-2-2-2-2-222-200000000-2-22200000000000022-2-20000000000000000000000-22000000
χ2022222222222222222-2-2-2-2222-2-2-2-2-2-2-222-200000000-2-222000000000000-2-22200000000000000000000002-2000000
χ2122222222222-2-2-2-22-2-2-20000-2-2-222200002220022000000-2-2-2-2000000000000000000002i2i−2i−2i00002i2i−2i−2i0000000000
χ2222222222222-2-2-2-22-2-2-20000-2-2-222200002220022000000-2-2-2-200000000000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000
χ2322222222222-2-2-2-22-2-2-20000-2-2-222200002-2-200-2-20000002222000000000000000000002i2i−2i−2i0000−2i−2i2i2i0000000000
χ2422222222222-2-2-2-22-2-2-20000-2-2-222200002-2-200-2-2000000222200000000000000000000−2i−2i2i2i00002i2i−2i−2i0000000000
χ25222222222-2-22222-2-22-22222-2-2222-22222-200000000-2-2-2-20000000000000000000022-2-22-22-2000000000000000000
χ26222222222-2-22222-2-22-22222-2-2222-22222-200000000-2-2-2-200000000000000000000-2-222-22-22000000000000000000
χ27222222222-2-22222-2-22-2-2-2-2-2-2-2222-2-2-2-2-2-20000000022220000000000000000000022-2-2-22-22000000000000000000
χ28222222222-2-22222-2-22-2-2-2-2-2-2-2222-2-2-2-2-2-200000000222200000000000000000000-2-2222-22-2000000000000000000
χ29222222222-2-22222-2-2-2222-2-2-22-2-2-2222-2-2200000000-2-2220000000022-2-20000000000000000000000002-200000000
χ30222222222-2-22222-2-2-2222-2-2-22-2-2-2222-2-2200000000-2-22200000000-2-222000000000000000000000000-2200000000
χ31222222222-2-22222-2-2-22-2-222-22-2-2-22-2-22220000000022-2-20000000022-2-2000000000000000000000000-2200000000
χ32222222222-2-22222-2-2-22-2-222-22-2-2-22-2-22220000000022-2-200000000-2-2220000000000000000000000002-200000000
χ33222222222-2-2-2-2-2-2-22-22000022-222-20000-20022002200000000-2-2-2-200000000000000002i−2i−2i2i2i2i−2i−2i00000000000000
χ34222222222-2-2-2-2-2-2-22-22000022-222-20000-20022002200000000-2-2-2-20000000000000000−2i2i2i−2i−2i−2i2i2i00000000000000
χ35222222222-2-2-2-2-2-2-22-22000022-222-20000-200-2-200-2-200000000222200000000000000002i−2i−2i2i−2i−2i2i2i00000000000000
χ36222222222-2-2-2-2-2-2-22-22000022-222-20000-200-2-200-2-20000000022220000000000000000−2i2i2i−2i2i2i−2i−2i00000000000000
χ37222-2-2-2-2222222-2-2-22-220000-2-222-2-2000022200-2-200000022-2-200000000000000002-22-200002-22-200000000000000
χ38222-2-2-2-2222222-2-2-22-220000-2-222-2-2000022200-2-200000022-2-20000000000000000-22-220000-22-2200000000000000
χ39222-2-2-2-2222222-2-2-22-220000-2-222-2-200002-2-20022000000-2-22200000000000000002-22-20000-22-2200000000000000
χ40222-2-2-2-2222222-2-2-22-220000-2-222-2-200002-2-20022000000-2-2220000000000000000-22-2200002-22-200000000000000
χ41222-2-2-2-22222-2-222-2-22-22-22-222-22-2-22-22-22222-2-2-22-22-22-2-2-22222-2-200000000000000000000000000000000000000
χ42222-2-2-2-22222-2-222-2-22-22-22-222-22-2-22-22-22-2-2-2222-222-22-222-2-2-2-22200000000000000000000000000000000000000
χ43222-2-2-2-22222-2-222-2-22-2-22-2222-22-2-2-22-22222-22-2-2-22-22-22-2-222-2-22200000000000000000000000000000000000000
χ44222-2-2-2-22222-2-222-2-22-2-22-2222-22-2-2-22-222-2-22-2222-2-22-2222-2-222-2-200000000000000000000000000000000000000
χ45222-2-2-2-22222-2-222-2-2-222-2-222-22-2222-2-22-2000000002-2-22000000000000000022-2-200000000000000000000002-200
χ46222-2-2-2-22222-2-222-2-2-222-2-222-22-2222-2-22-2000000002-2-220000000000000000-2-2220000000000000000000000-2200
χ47222-2-2-2-22222-2-222-2-2-22-222-22-22-222-222-2-200000000-222-2000000000000000022-2-20000000000000000000000-2200
χ48222-2-2-2-22222-2-222-2-2-22-222-22-22-222-222-2-200000000-222-20000000000000000-2-22200000000000000000000002-200
χ49222-2-2-2-222-2-222-2-22-2-2-200002222-220000-2002-2002-200000000-2-2220000000000002-2-22000000002-22-20000000000
χ50222-2-2-2-222-2-222-2-22-2-2-200002222-220000-2002-2002-200000000-2-222000000000000-222-200000000-22-220000000000
χ51222-2-2-2-222-2-222-2-22-2-2-200002222-220000-200-2200-220000000022-2-20000000000002-2-2200000000-22-220000000000
χ52222-2-2-2-222-2-222-2-22-2-2-200002222-220000-200-2200-220000000022-2-2000000000000-222-2000000002-22-20000000000
χ53222-2-2-2-222-2-2-2-22222222-22-2-2-2-22-222-22-2-200000000-22-2200000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ54222-2-2-2-222-2-2-2-22222222-22-2-2-2-22-222-22-2-200000000-22-220000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ55222-2-2-2-222-2-2-2-2222222-22-22-2-2-22-22-22-22-2000000002-22-200000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ56222-2-2-2-222-2-2-2-2222222-22-22-2-2-22-22-22-22-2000000002-22-20000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ57222-2-2-2-222-2-2-2-22222-2-22-2-22-222-22-22-2-22200000000-222-200000000000000000000000000000000000000002-2002-2
χ58222-2-2-2-222-2-2-2-22222-2-22-2-22-222-22-22-2-22200000000-222-20000000000000000000000000000000000000000-2200-22
χ59222-2-2-2-222-2-2-2-22222-2-2-222-2-222-22-2-222-22000000002-2-2200000000000000000000000000000000000000002-200-22
χ60222-2-2-2-222-2-2-2-22222-2-2-222-2-222-22-2-222-22000000002-2-220000000000000000000000000000000000000000-22002-2
χ6144444444444-4-4-4-44-4440000-444-4-4-40000-40000000000000000000000000000000000000000000000000000000000
χ62444444444-4-4-4-4-4-4-444-400004-44-4-44000040000000000000000000000000000000000000000000000000000000000
χ63444-4-4-4-4444444-4-4-444-40000-44-4-4440000-40000000000000000000000000000000000000000000000000000000000
χ64444-4-4-4-444-4-444-4-44-44400004-4-4-44-4000040000000000000000000000000000000000000000000000000000000000
χ6544-444-4-4-44004-44-40000004400000000-4-402-22-22-2-2200002-22-22-22-200000000000000000000000000000000000000
χ6644-444-4-4-44004-44-40000004400000000-4-40-22-22-222-20000-22-22-22-2200000000000000000000000000000000000000
χ6744-444-4-4-44004-44-4000000-4-4000000004402-2-222-22-200002-22-2-22-2200000000000000000000000000000000000000
χ6844-444-4-4-44004-44-4000000-4-400000000440-222-2-22-220000-22-222-22-200000000000000000000000000000000000000
χ6944-444-4-4-4400-44-4400004400000000-4-40002-2-222-22-20000-22-222-22-200000000000000000000000000000000000000
χ7044-444-4-4-4400-44-4400004400000000-4-4000-222-2-22-2200002-22-2-22-2200000000000000000000000000000000000000
χ7144-444-4-4-4400-44-440000-4-400000000440002-22-22-2-220000-22-22-22-2200000000000000000000000000000000000000
χ7244-444-4-4-4400-44-440000-4-40000000044000-22-22-222-200002-22-22-22-200000000000000000000000000000000000000
χ7344-4-4-444-44004-4-4400004-400000000-440002-2-2-2-222200002-2-222-2-2200000000000000000000000000000000000000
χ7444-4-4-444-44004-4-4400004-400000000-44000-22222-2-2-20000-222-2-222-200000000000000000000000000000000000000
χ7544-4-4-444-44004-4-440000-44000000004-40002-222-22-2-200002-2-22-222-200000000000000000000000000000000000000
χ7644-4-4-444-44004-4-440000-44000000004-4000-22-2-22-2220000-222-22-2-2200000000000000000000000000000000000000
χ7744-4-4-444-4400-444-40000004-400000000-4402-222-22-2-20000-222-22-2-2200000000000000000000000000000000000000
χ7844-4-4-444-4400-444-40000004-400000000-440-22-2-22-22200002-2-22-222-200000000000000000000000000000000000000
χ7944-4-4-444-4400-444-4000000-44000000004-402-2-2-2-22220000-222-2-222-200000000000000000000000000000000000000
χ8044-4-4-444-4400-444-4000000-44000000004-40-22222-2-2-200002-2-222-2-2200000000000000000000000000000000000000
χ818888-88-8-8-80000000000000000000000000000000000000000000000000004i−4i000000000000000000000000000000
χ828888-88-8-8-8000000000000000000000000000000000000000000000000000−4i4i000000000000000000000000000000
χ83888-88-88-8-800000000000000000000000000000000000000000000000004i−4i00000000000000000000000000000000
χ84888-88-88-8-80000000000000000000000000000000000000000000000000−4i4i00000000000000000000000000000000
χ8588-88-8-888-80000000000000000000000000000000000000000000004-4000000000000000000000000000000000000
χ8688-88-8-888-8000000000000000000000000000000000000000000000-44000000000000000000000000000000000000
χ8788-8-888-88-8000000000000000000000000000000000000000000000004-40000000000000000000000000000000000
χ8888-8-888-88-800000000000000000000000000000000000000000000000-440000000000000000000000000000000000
χ8916-1600000008-8000000000000000000000000000000000000000000000000000004i−4i00000000000000000000000000
χ9016-1600000008-800000000000000000000000000000000000000000000000000000−4i4i00000000000000000000000000
χ9116-160000000-880000000000000000000000000000000000000000000000000004-40000000000000000000000000000
χ9216-160000000-88000000000000000000000000000000000000000000000000000-440000000000000000000000000000

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