Finite Group Databasebeta

← Group #72338815

Character table — Group #72338815

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111144488888888161616161616161616161616161616323232323232323232323232323264646464646464646464646464646464128128
order12222222244444422222222222224444444444444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111111-1111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-11-1
χ31111111111111111111111-1-111111111-11111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-11
χ41111111111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ5111111111111111111-1-1-1-111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111-1-11111-1-11-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-11
χ7111111111111111111-1-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111111-1
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ91111111111111111-1-111-1-1111111-1-11-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ101111111111111111-1-111-1-111-1-111-1-11-11-1-1-111-1-111111-1-1-111-1-11111-1-111-1-1
χ111111111111111111-1-111-1-1-1-11111-1-11-1-11-1-111-1-11111-1111-1-1-1-1-1-1-1-1-1-11111
χ121111111111111111-1-111-1-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-11-1
χ131111111111111111-1-1-1-111111111-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1111-1
χ141111111111111111-1-1-1-11111-1-111-1-1-111-1-1-1-1-11111111-1-1-111-1-1-1-1-1-111-1-111
χ151111111111111111-1-1-1-111-1-11111-1-1-11-11-1-1-1-1111111-1111-1-1-1-1111111-1-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-111-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-11
χ172222222222-2-2-22-2-22-2000000222-22-200022-2000000000-2002-2000000000000
χ182222222222-2-2-22-2-22-2000000-2-22-22-2000-22-2000000000200-22000000000000
χ192222222222-2-2-22-2-2-22000000222-2-220002-22000000000-200-22000000000000
χ202222222222-2-2-22-2-2-22000000-2-22-2-22000-2-220000000002002-2000000000000
χ21222222222-22-2-2-22-22-200002200-222-20020-2200000000-202-200000000000000
χ22222222222-22-2-2-22-22-20000-2-200-222-200-20-220000000020-2200000000000000
χ23222222222-22-2-2-22-2-2200002200-22-2200202-200000000-20-2200000000000000
χ24222222222-22-2-2-22-2-220000-2-200-22-2200-202-200000000202-200000000000000
χ25222222222-2-222-2-222200000000-2-2220000-2-2000022-2-20000002-20000000000
χ26222222222-2-222-2-222200000000-2-2220000-2-20000-2-222000000-220000000000
χ27222222222-2-222-2-22-2-200000000-2-2-2-2000022000022-2-2000000-220000000000
χ28222222222-2-222-2-22-2-200000000-2-2-2-20000220000-2-2220000002-20000000000
χ292222222-2-22-2-2-22-220000220000-220002000000-2-22i−2i2i−2i0000000000002i−2i0000
χ302222222-2-22-2-2-22-220000220000-220002000000-2-2−2i2i−2i2i000000000000−2i2i0000
χ312222222-2-22-2-2-22-220000-2-20000-22000-2000000222i−2i2i−2i000000000000−2i2i0000
χ322222222-2-22-2-2-22-220000-2-20000-22000-200000022−2i2i−2i2i0000000000002i−2i0000
χ332222222-2-2-22-2-2-22200220000002-200200000-2-2002i−2i−2i2i000000000000002i−2i00
χ342222222-2-2-22-2-2-22200220000002-200200000-2-200−2i2i2i−2i00000000000000−2i2i00
χ352222222-2-2-22-2-2-22200-2-20000002-200-20000022002i−2i−2i2i00000000000000−2i2i00
χ362222222-2-2-22-2-2-22200-2-20000002-200-2000002200−2i2i2i−2i000000000000002i−2i00
χ374444444-4-4444444-40000000000-4-40000000000000000000000000000000000
χ384444444-4-4-4-444-4-4-40000000000440000000000000000000000000000000000
χ394444-4-444-400000000422220000000-4-2-200002-22-20000000000000000000000
χ404444-4-444-4000000004-2-2-2-20000000-4220000-22-220000000000000000000000
χ414444-4-444-400000000-422-2-200000004-2200002-2-220000000000000000000000
χ424444-4-444-400000000-4-2-222000000042-20000-222-20000000000000000000000
χ434444-4-44-440000000402222000000-40-2-20000-22-220000000000000000000000
χ444444-4-44-44000000040-2-2-2-2000000-402200002-22-20000000000000000000000
χ454444-4-44-440000000-4022-2-200000040-220000-222-20000000000000000000000
χ464444-4-44-440000000-40-2-222000000402-200002-2-220000000000000000000000
χ4788888-8-800000000000000000440000000-40000000000000000000000000000
χ4888888-8-800000000000000000-4-4000000040000000000000000000000000000
χ498888-88-80000000000000004400000000-400000000000000000000000000000
χ508888-88-8000000000000000-4-400000000400000000000000000000000000000
χ518-88-8000000-400040004-4004-400000000000000000000000000002-200000000
χ528-88-8000000-400040004-400-440000000000000000000000000000-2200000000
χ538-88-8000000-40004000-44004-40000000000000000000000000000-2200000000
χ548-88-8000000-40004000-4400-4400000000000000000000000000002-200000000
χ558-8-8800000-400040000004-4004-400000000000000000000000000002-2000000
χ568-8-8800000-400040000004-400-440000000000000000000000000000-22000000
χ578-8-8800000-40004000000-44004-40000000000000000000000000000-22000000
χ588-8-8800000-40004000000-4400-4400000000000000000000000000002-2000000
χ591616-16-1600000008-80000000000000000000000000000000000000000000000000
χ601616-16-160000000-880000000000000000000000000000000000000000000000000
χ6116-1616-160000008000-800000000000000000000000000000000000000000000000
χ6216-16-1616000008000-8000000000000000000000000000000000000000000000000

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