Finite Group Databasebeta

← Group #72286961

Character table — Group #72286961

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11222222244444488888888888888816161616161616161616161616163232323232323232323232323232323232323232
order1222244442244442222224444444442222444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ7111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ91111111111111-1-111-111-111-111-1-1-1-11111-1-111-1-11111ii−i−i-1-1-1-1ii−i−iii−i−iii−i−i
χ101111111111111-1-111-111-111-111-1-1-1-11111-1-111-1-11111−i−iii-1-1-1-1−i−iii−i−iii−i−iii
χ111111111111111-1-111-111-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111−i−iiiii−i−i−i−iii
χ121111111111111-1-111-111-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111ii−i−i−i−iiiii−i−i
χ131111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i-1-111ii−i−i−i−iii−i−iii
χ141111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iii-1-111−i−iiiii−i−iii−i−i
χ151111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111ii−i−i11-1-1−i−iii−i−iiiii−i−i
χ161111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111−i−iii11-1-1ii−i−iii−i−i−i−iii
χ17222222222222222-2-2-222-2-2-2-22222-22-2-200-2-20022000000000000000000000000
χ18222222222222222-2-2-2-2-2-2-2-2-2-2-222-2222002200-2-2000000000000000000000000
χ192222222222222-2-2-2-22222-2-2222-2-22-2-2-2002200-2-2000000000000000000000000
χ202222222222222-2-2-2-22-2-22-2-22-2-2-2-22-22200-2-20022000000000000000000000000
χ2122222-2-2-2-2-2-2222222-200-2-2-22002-22-2000000000022-2-20000002-2000000000000
χ2222222-2-2-2-2-2-2222222-200-2-2-22002-22-20000000000-2-222000000-22000000000000
χ2322222-2-2-2-2-2-22222-2-2200222-2002-2-2-2002-2002-200000000002-200000000000000
χ2422222-2-2-2-2-2-22222-2-2200222-2002-2-2-200-2200-220000000000-2200000000000000
χ2522222-2-2-2-2-2-222-2-2222002-2-2-200-22-22000000000022-2-2000000-22000000000000
χ2622222-2-2-2-2-2-222-2-2222002-2-2-200-22-220000000000-2-2220000002-2000000000000
χ2722222-2-2-2-2-2-222-2-2-2-2-200-222200-2222002-2002-20000000000-2200000000000000
χ2822222-2-2-2-2-2-222-2-2-2-2-200-222200-222200-2200-2200000000002-200000000000000
χ2922-22-222-2-22-22-2222-2200-22-2200-22-2-2000000000000000000000000002i−2i2i−2i0000
χ3022-22-222-2-22-22-2222-2200-22-2200-22-2-200000000000000000000000000−2i2i−2i2i0000
χ3122-22-222-2-22-22-222-22-2002-22-200-222-2000000000000002-22-20000000000000000
χ3222-22-222-2-22-22-222-22-2002-22-200-222-200000000000000-22-220000000000000000
χ3322-22-222-2-22-22-2-2-22-2-20022-2-2002-222000000000000000000000000002-2-220000
χ3422-22-222-2-22-22-2-2-22-2-20022-2-2002-22200000000000000000000000000-222-20000
χ3522-22-222-2-22-22-2-2-2-22200-2-222002-2-22000000000000002i−2i−2i2i0000000000000000
χ3622-22-222-2-22-22-2-2-2-22200-2-222002-2-2200000000000000−2i2i2i−2i0000000000000000
χ3722-22-2-2-222-222-2222-2-2002-22200-2-2-2200000000000000000000002-22-200000000
χ3822-22-2-2-222-222-2222-2-2002-22200-2-2-220000000000000000000000-22-2200000000
χ3922-22-2-2-222-222-222-22200-22-2-200-2-2220000000000000000000000000000002-22-2
χ4022-22-2-2-222-222-222-22200-22-2-200-2-222000000000000000000000000000000-22-22
χ4122-22-2-2-222-222-2-2-22-2200-2-22-200222-200000000000000000000002i−2i−2i2i00000000
χ4222-22-2-2-222-222-2-2-22-2200-2-22-200222-20000000000000000000000−2i2i2i−2i00000000
χ4322-22-2-2-222-222-2-2-2-22-20022-220022-2-20000000000000000000000000000002i−2i−2i2i
χ4422-22-2-2-222-222-2-2-2-22-20022-220022-2-2000000000000000000000000000000−2i2i2i−2i
χ45444444444-4-4-4-400000440000-4-400000000000000000000000000000000000000
χ46444444444-4-4-4-400000-4-400004400000000000000000000000000000000000000
χ4744444-4-4-4-444-4-4000000000000000004-400000000000000000000000000000000
χ4844444-4-4-4-444-4-400000000000000000-4400000000000000000000000000000000
χ4944-44-444-4-4-44-440000000000000000000004-40000000000000000000000000000
χ5044-44-444-4-4-44-44000000000000000000000-440000000000000000000000000000
χ5144-44-4-4-4444-4-4400000000000000000000000004-4000000000000000000000000
χ5244-44-4-4-4444-4-440000000000000000000000000-44000000000000000000000000
χ5344-4-444-44-40000000000000004-40000002200-2-2002-22-200000000000000000000
χ5444-4-444-44-40000000000000004-4000000-2-2002200-22-2200000000000000000000
χ5544-4-444-44-4000000000000000-440000002200-2-200-22-2200000000000000000000
χ5644-4-444-44-4000000000000000-44000000-2-20022002-22-200000000000000000000
χ5744-4-44-44-440000000004-40000000000002-200-22002-2-2200000000000000000000
χ5844-4-44-44-440000000004-4000000000000-22002-200-222-200000000000000000000
χ5944-4-44-44-44000000000-440000000000002-200-2200-222-200000000000000000000
χ6044-4-44-44-44000000000-44000000000000-22002-2002-2-2200000000000000000000
χ61888-8-88-8-880000000000000000000000000000000000000000000000000000000
χ62888-8-8-888-80000000000000000000000000000000000000000000000000000000
χ6316-16000000000008i−8i0000000000000000000000000000000000000000000000000
χ6416-1600000000000−8i8i0000000000000000000000000000000000000000000000000

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