Finite Group Databasebeta

← Group #72318052

Character table — Group #72318052

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size112224444448888881616161616161616161616161632323232323232323232323232323264646464
order1222222444422222222244444444444444444444488888888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111-1-11111-1-111111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111-1-11111-1-1-111iiii−i−i−i−i-1-1-1-1ii−i−i
χ61111111111111-1-1-1-111111-1-11111-1-1-111−i−i−i−iiiii-1-1-1-1−i−iii
χ71111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1iiii−i−i−i−i1111−i−iii
χ81111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1−i−i−i−iiiii1111ii−i−i
χ911111111111-1-111-1-1-111111-111-1-1-1-11-1-1ii−i−iii−i−i11-1-1i−ii−i
χ1011111111111-1-111-1-1-111111-111-1-1-1-11-1-1−i−iii−i−iii11-1-1−ii−ii
χ1111111111111-1-111-1-1-1-1-1111-1-1-1-1-1-1-1111ii−i−iii−i−i-1-111−ii−ii
χ1211111111111-1-111-1-1-1-1-1111-1-1-1-1-1-1-1111−i−iii−i−iii-1-111i−ii−i
χ1311111111111-1-1-1-111-11111-1111-1-111-1-1-111-1-1-1-111-1-1111-1-11
χ1411111111111-1-1-1-111-11111-1111-1-111-1-1-1-1-11111-1-1-1-111-111-1
χ1511111111111-1-1-1-111-1-1-111-11-1-1-1-111-11111-1-1-1-11111-1-1-111-1
χ1611111111111-1-1-1-111-1-1-111-11-1-1-1-111-111-1-11111-1-111-1-11-1-11
χ1722222222222222222200-2-22200-2-2-2-2-2000000000000000000
χ182222222222222-2-2-2-2200-2-2-2-200-2-2222000000000000000000
χ1922222222222-2-222-2-2-200-2-22-2002222-2000000000000000000
χ2022222222222-2-2-2-222-200-2-2-220022-2-22000000000000000000
χ2122222-2-22-22-20000220002-20-200002-2000002-22-20000000000
χ2222222-2-22-22-20000220002-20-200002-200000-22-220000000000
χ2322222-2-22-22-2000022000-220-20000-220002-200002-200000000
χ2422222-2-22-22-2000022000-220-20000-22000-220000-2200000000
χ2522222-2-22-22-20000-2-20002-2020000-22000002i−2i−2i2i0000000000
χ2622222-2-22-22-20000-2-20002-2020000-2200000−2i2i2i−2i0000000000
χ2722222-2-22-22-20000-2-2000-220200002-20002i−2i0000−2i2i00000000
χ2822222-2-22-22-20000-2-2000-220200002-2000−2i2i00002i−2i00000000
χ294444444-4-4-4-4440000-40000000000000000000000000000000
χ304444444-4-4-4-4-4-4000040000000000000000000000000000000
χ3144444-4-4-44-4400440000000-400000000000000000000000000
χ3244444-4-4-44-4400-4-40000000400000000000000000000000000
χ33444-4-4000-404004-40002-200002-20000000000000002-2000000
χ34444-4-4000-404004-4000-220000-22000000000000000-22000000
χ35444-4-4000-40400-440002-200002-2000000000000000-22000000
χ36444-4-4000-40400-44000-220000-220000000000000002-2000000
χ3744-44-400-404000004-402-20000-22000000000000000002-20000
χ3844-44-400-404000004-40-2200002-200000000000000000-220000
χ3944-44-400-40400000-4402-20000-2200000000000000000-220000
χ4044-44-400-40400000-440-2200002-2000000000000000002-20000
χ4144-4-44-4400004-400000220000-2-2000002-20000000000000000
χ4244-4-44-4400004-400000-2-200002200000-220000000000000000
χ4344-4-44-440000-4400000220000-2-200000-220000000000000000
χ4444-4-44-440000-4400000-2-2000022000002-20000000000000000
χ45888-8-800080-800000000000000000000000000000000000000
χ4688-88-80080-8000000000000000000000000000000000000000
χ4788-8-888-8000000000000000000000000000000000000000000
χ4816-160000000000000000000000004i−4i000000000000000000000
χ4916-16000000000000000000000000−4i4i000000000000000000000

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