Finite Group Databasebeta

← Group #72318576

Character table — Group #72318576

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size112224444448888881616161616161616161616161632323232323232323232323232323264646464
order1222222444422222222244444488884444444444444884444
χ11111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-11-1-1-1-1-1-11111111-1-1-1-1iiii−i−i−i−i11ii−i−i
χ61111111111111-1-1-1-11-1-1-1-1-1-11111111-1-1-1-1−i−i−i−iiiii11−i−iii
χ71111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111iiii−i−i−i−i-1-1−i−iii
χ81111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111−i−i−i−iiiii-1-1ii−i−i
χ911111111111-1-111-1-1-1-1-11-111111111-1-1-111ii−i−iii−i−i-1-1i−ii−i
χ1011111111111-1-111-1-1-1-1-11-111111111-1-1-111−i−iii−i−iii-1-1−ii−ii
χ1111111111111-1-111-1-1-1-1-11-11111-1-1-1-1-111-1-1ii−i−iii−i−i11−ii−ii
χ1211111111111-1-111-1-1-1-1-11-11111-1-1-1-1-111-1-1−i−iii−i−iii11i−ii−i
χ1311111111111-1-1-1-111-111-11-1-1111111-111-1-111-1-1-1-111-1-11-1-11
χ1411111111111-1-1-1-111-111-11-1-1111111-111-1-1-1-11111-1-1-1-1-111-1
χ1511111111111-1-1-1-111-111-11-1-111-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ1611111111111-1-1-1-111-111-11-1-111-1-1-1-1-1-1-111-1-11111-1-1111-1-11
χ17222222222222222222-2-222-2-2-2-20000-2000000000000000000
χ182222222222222-2-2-2-2222-2-222-2-20000-2000000000000000000
χ1922222222222-2-222-2-2-2222-2-2-2-2-200002000000000000000000
χ2022222222222-2-2-2-222-2-2-2-2222-2-200002000000000000000000
χ2122222-2-22-22-200002202-20-2002-2000000000002-22-200000000
χ2222222-2-22-22-200002202-20-2002-200000000000-22-2200000000
χ2322222-2-22-22-20000220-220-200-220000000002-200002-2000000
χ2422222-2-22-22-20000220-220-200-22000000000-220000-22000000
χ2522222-2-22-22-20000-2-202-20200-220000000002i−2i0000−2i2i000000
χ2622222-2-22-22-20000-2-202-20200-22000000000−2i2i00002i−2i000000
χ2722222-2-22-22-20000-2-20-2202002-2000000000002i−2i−2i2i00000000
χ2822222-2-22-22-20000-2-20-2202002-200000000000−2i2i2i−2i00000000
χ294444444-4-4-4-4440000-40000000000000000000000000000000
χ304444444-4-4-4-4-4-4000040000000000000000000000000000000
χ3144444-4-4-44-44004400000-40000000000000000000000000000
χ3244444-4-4-44-4400-4-40000040000000000000000000000000000
χ33444-4-400040-4004-4000000000002i2i−2i−2i0002i−2i00000000000000
χ34444-4-400040-4004-400000000000−2i−2i2i2i000−2i2i00000000000000
χ35444-4-400040-400-44000000000002i2i−2i−2i000−2i2i00000000000000
χ36444-4-400040-400-4400000000000−2i−2i2i2i0002i−2i00000000000000
χ3744-44-44-400004-400000000000002i−2i2i−2i00000000000002i−2i0000
χ3844-44-44-400004-40000000000000−2i2i−2i2i0000000000000−2i2i0000
χ3944-44-44-40000-4400000000000002i−2i2i−2i0000000000000−2i2i0000
χ4044-44-44-40000-440000000000000−2i2i−2i2i00000000000002i−2i0000
χ4144-4-4400-404000004-40000000002-2-2202-20000000000000000
χ4244-4-4400-404000004-4000000000-222-20-220000000000000000
χ4344-4-4400-40400000-440000000002-2-220-220000000000000000
χ4444-4-4400-40400000-44000000000-222-202-20000000000000000
χ45888-8-8000-80800000000000000000000000000000000000000
χ4688-88-8-88000000000000000000000000000000000000000000
χ4788-8-880080-8000000000000000000000000000000000000000
χ4816-16000000000000000000004-40000000000000000000000000
χ4916-1600000000000000000000-440000000000000000000000000

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