Finite Group Databasebeta

← Group #72314650

Character table — Group #72314650

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size112224444444488888881616161616161616161616161616161616161616161616161616323232323232323264646464
order1222222224444222444422224444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1111-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-11-1
χ31111111111111111111111-1111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11-11
χ41111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1
χ511111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ611111111111111111111-1-11-1-1-11-111-1-1-1-111111111-1-1-1-11-111-1-1-1-1-11-11
χ711111111111111111111-1-1-11-1-1-1111-1-1-1-111111111-1-1-1-1-11-1-111-1-11-11-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ9111111111-1-1-1-1111-1-1111-1111-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11
χ10111111111-1-1-1-1111-1-1111-11-11-11-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-111-1-1
χ11111111111-1-1-1-1111-1-1111-1-111-1-11-1-111-1-1-1-1-1-111111111-1111-1-1-1-1-1-111
χ12111111111-1-1-1-1111-1-1111-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-111-1
χ13111111111-1-1-1-1111-1-111-1111-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-111-1
χ14111111111-1-1-1-1111-1-111-111-1-111-1-1-1-1-1111111-1-1-1-111111-1-1-111-1-1-1-111
χ15111111111-1-1-1-1111-1-111-11-11-11-11-1-1-1-1111111-1-1-1-11111-1111-1-1-1-111-1-1
χ16111111111-1-1-1-1111-1-111-11-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111-1-11
χ1722222222222222-2-222-2-200000000-2-200000000000022-2-20000002-20000
χ1822222222222222-2-222-2-200000000-2-2000000000000-2-222000000-220000
χ19222222222-2-2-2-22-2-2-2-2-2-2000000002200000000000022-2-2000000-220000
χ20222222222-2-2-2-22-2-2-2-2-2-20000000022000000000000-2-2220000002-20000
χ2122222-2-22222-2-2-22-22-22-2000200022-200000000000000000-2002-2000000
χ2222222-2-22222-2-2-22-22-22-2000-2000-22-200000000000000000200-22000000
χ2322222-2-22222-2-2-2-222-2-2200200020-220000000000000000-202-200000000
χ2422222-2-22222-2-2-2-222-2-2200-2000-20-22000000000000000020-2200000000
χ2522222-2-222-2-222-22-2-222-200020002-2200000000000000000-200-22000000
χ2622222-2-222-2-222-22-2-222-2000-2000-2-22000000000000000002002-2000000
χ2722222-2-222-2-222-2-22-22-22002000202-20000000000000000-20-2200000000
χ2822222-2-222-2-222-2-22-22-2200-2000-202-20000000000000000202-200000000
χ2922222-2-2-2-2000022-200-22020002000000-2-22i2i−2i−2i00002i−2i2i−2i000000000000
χ3022222-2-2-2-2000022-200-22020002000000-2-2−2i−2i2i2i0000−2i2i−2i2i000000000000
χ3122222-2-2-2-2000022-200-220-2000-2000000222i2i−2i−2i0000−2i2i−2i2i000000000000
χ3222222-2-2-2-2000022-200-220-2000-200000022−2i−2i2i2i00002i−2i2i−2i000000000000
χ3322222-2-2-2-200002-22002-22000200000-2-20000002i2i−2i−2i2i−2i−2i2i000000000000
χ3422222-2-2-2-200002-22002-22000200000-2-2000000−2i−2i2i2i−2i2i2i−2i000000000000
χ3522222-2-2-2-200002-22002-2-2000-200000220000002i2i−2i−2i−2i2i2i−2i000000000000
χ3622222-2-2-2-200002-22002-2-2000-20000022000000−2i−2i2i2i2i−2i−2i2i000000000000
χ374444444-4-40000-44400-4-400000000000000000000000000000000000000
χ384444444-4-40000-4-4-4004400000000000000000000000000000000000000
χ3944-4-44004-400440000-4002-200-2200002-22-2000000000000000000000000
χ4044-4-44004-400440000-400-22002-20000-22-22000000000000000000000000
χ4144-4-44004-400-4-400004002200-2-200002-2-22000000000000000000000000
χ4244-4-44004-400-4-40000400-2-200220000-222-2000000000000000000000000
χ4344-4-4400-444400000-40002-200-220000-22-22000000000000000000000000
χ4444-4-4400-444400000-4000-22002-200002-22-2000000000000000000000000
χ4544-4-4400-44-4-40000040002200-2-20000-222-2000000000000000000000000
χ4644-4-4400-44-4-4000004000-2-2002200002-2-22000000000000000000000000
χ47888-8-80000000000000000004000-4000000000000000000000000000000
χ48888-8-8000000000000000000-40004000000000000000000000000000000
χ4988-88-8000000000000000004000-40000000000000000000000000000000
χ5088-88-800000000000000000-400040000000000000000000000000000000
χ518-80004-4004i−4i4i−4i0000000000000000000002-22-22i−2i2i−2i0000000000000000
χ528-80004-4004i−4i4i−4i000000000000000000000-22-22−2i2i−2i2i0000000000000000
χ538-80004-400−4i4i−4i4i0000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ548-80004-400−4i4i−4i4i000000000000000000000-22-222i−2i2i−2i0000000000000000
χ558-8000-44004i−4i−4i4i0000000000000000000002i−2i−2i2i-222-20000000000000000
χ568-8000-44004i−4i−4i4i000000000000000000000−2i2i2i−2i2-2-220000000000000000
χ578-8000-4400−4i4i4i−4i0000000000000000000002i−2i−2i2i2-2-220000000000000000
χ588-8000-4400−4i4i4i−4i000000000000000000000−2i2i2i−2i-222-20000000000000000

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