Finite Group Databasebeta

← Group #72262710

Character table — Group #72262710

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224488888888816161616161616161616161616161616161616161616161632323232323232323264646464
order1222222222442222224442222444444444444444444442444488884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ311111111111111111111111-1-11111111111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1111111-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111
χ5111111111111111111111-1-11111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111111111-1-1
χ9111111111111-1-111111-1-11-111-1-111-1-1111-111-1-111-1-1-1-1-11-11-111-1-11-11-1
χ10111111111111-1-111111-1-11-111-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-11-1-1111-1-11
χ11111111111111-1-111111-1-11-1-1-1-1-111-1-1111-1-1-11111-1-111-1-11-1111-1-1-11-11
χ12111111111111-1-111111-1-11-1-1-1-1-111-1-1-1-11-11111-1-111-1-11-111-1-1-111-111-1
χ13111111111111-1-111111-1-1-1111-1-1-1-11111-1111-1-111-1-1-1-1-11-11-1-1-111-11-11
χ14111111111111-1-111111-1-1-1111-1-1-1-111-1-1-11-1-1-1-1-1-1111111-1-1111-1-1-111-1
χ15111111111111-1-111111-1-1-11-1-1-1-1-1-11111-11-1-11111-1-111-1-11-11-1-1111-11-1
χ16111111111111-1-111111-1-1-11-1-1-1-1-1-111-1-1-111111-1-111-1-11-111-111-1-11-1-11
χ1722222222222222-2-2-2-22220000-2-2000022000000-2-2-2-2002000000000000
χ1822222222222222-2-2-2-22220000-2-20000-2-2000000222200-2000000000000
χ19222222222222-2-2-2-2-2-22-2-2000022000022000000-2-22200-2000000000000
χ20222222222222-2-2-2-2-2-22-2-20000220000-2-200000022-2-2002000000000000
χ212222222222-2-22222-2-2-2-2-200002-20000000022000000-2-2000-2200000000
χ222222222222-2-22222-2-2-2-2-200002-200000000-2-2000000220002-200000000
χ232222222222-2-222-2-222-2-2-20022-220000000000-2-20000000-220000000000
χ242222222222-2-222-2-222-2-2-200-2-2-2200000000002200000002-20000000000
χ252222222222-2-2-2-222-2-2-2220000-22000000002200000022000-2-200000000
χ262222222222-2-2-2-222-2-2-2220000-2200000000-2-2000000-2-20002200000000
χ272222222222-2-2-2-2-2-222-22200222-20000000000220000000-2-20000000000
χ282222222222-2-2-2-2-2-222-22200-2-22-20000000000-2-20000000220000000000
χ292222-2-222-2-222002-22-2-20002000000-2-22-20200002-2000000000002-20000
χ302222-2-222-2-222002-22-2-20002000000-2-2-22020000-2200000000000-220000
χ312222-2-222-2-222002-22-2-2000-2000000222-20-200002-200000000000-220000
χ322222-2-222-2-222002-22-2-2000-200000022-220-20000-22000000000002-20000
χ332222-2-222-2-22200-22-22-200200000-2-2002-2200000-220000000002-2000000
χ342222-2-222-2-22200-22-22-200200000-2-200-222000002-2000000000-22000000
χ352222-2-222-2-22200-22-22-200-20000022002-2-200000-22000000000-22000000
χ362222-2-222-2-22200-22-22-200-2000002200-22-2000002-20000000002-2000000
χ3744444-4-4-44-40000000004-42200002-22-200-2-200000000000000000000000
χ3844444-4-4-44-40000000004-4-2-20000-22-22002200000000000000000000000
χ3944444-4-4-44-4000000000-442-200002-2-2200-2200000000000000000000000
χ4044444-4-4-44-4000000000-44-220000-222-2002-200000000000000000000000
χ414444-44-4-4-44004-40000000220000-22-2200-2-200000000000000000000000
χ424444-44-4-4-44004-40000000-2-200002-22-2002200000000000000000000000
χ434444-44-4-4-4400-4400000002-20000-222-200-2200000000000000000000000
χ444444-44-4-4-4400-440000000-2200002-2-22002-200000000000000000000000
χ454444-4-444-4-4-4-4004-4-444000000000000000000000000000000000000000
χ464444-4-444-4-4-4-400-444-44000000000000000000000000000000000000000
χ4788-8-808000-800000000000000000000000004i−4i000000000000000000000
χ4888-8-808000-80000000000000000000000000−4i4i000000000000000000000
χ4988-8-80-8000800000000000004-4000000000000000000000000000000000
χ5088-8-80-800080000000000000-44000000000000000000000000000000000
χ518-88-88000-800000000000000000000000000004i−4i0000000000000000000
χ528-88-88000-80000000000000000000000000000−4i4i0000000000000000000
χ538-88-8-8000800000000000000000000000000000000004-40000000000000
χ548-88-8-800080000000000000000000000000000000000-440000000000000
χ558-8-88008-80000000000000000000000000000000004-4000000000000000
χ568-8-88008-8000000000000000000000000000000000-44000000000000000
χ578-8-8800-88008-80000000000000000000000000000000000000000000000
χ588-8-8800-8800-880000000000000000000000000000000000000000000000

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