Finite Group Databasebeta

← Group #72318572

Character table — Group #72318572

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size112224444448888881616161616161616161616161632323232323232323232323232323264646464
order1222222444422222222244444444444444444444488888888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111-1-1111111-1-1-111iiii−i−i−i−i-1-1-1-1ii−i−i
χ61111111111111-1-1-1-1111-1-1111111-1-1-111−i−i−i−iiiii-1-1-1-1−i−iii
χ71111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111−i−iii
χ81111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111ii−i−i
χ911111111111-1-111-1-111-11-1-1-11111-1-11-1-1ii−i−iii−i−i11-1-1i−ii−i
χ1011111111111-1-111-1-111-11-1-1-11111-1-11-1-1−i−iii−i−iii11-1-1−ii−ii
χ1111111111111-1-111-1-111-11-1-1-1-1-1-1-1-1-1111ii−i−iii−i−i-1-111−ii−ii
χ1211111111111-1-111-1-111-11-1-1-1-1-1-1-1-1-1111−i−iii−i−iii-1-111i−ii−i
χ1311111111111-1-1-1-11111-1-11-1-1111111-1-1-111-1-1-1-111-1-1111-1-11
χ1411111111111-1-1-1-11111-1-11-1-1111111-1-1-1-1-11111-1-1-1-111-111-1
χ1511111111111-1-1-1-11111-1-11-1-1-1-1-1-111-11111-1-1-1-11111-1-1-111-1
χ1611111111111-1-1-1-11111-1-11-1-1-1-1-1-111-111-1-11111-1-111-1-11-1-11
χ1722222222222222222-2-2222-2-20000-2-2-2000000000000000000
χ182222222222222-2-2-2-2-2-22-2-2-2-20000222000000000000000000
χ1922222222222-2-222-2-2-2-2-22-222000022-2000000000000000000
χ2022222222222-2-2-2-222-2-2-2-22220000-2-22000000000000000000
χ2122222-2-22-22-20000222-200-20000002-2000002-22-20000000000
χ2222222-2-22-22-20000222-200-20000002-200000-22-220000000000
χ2322222-2-22-22-2000022-2200-2000000-220002-200002-200000000
χ2422222-2-22-22-2000022-2200-2000000-22000-220000-2200000000
χ2522222-2-22-22-20000-2-22-2002000000-22000002i−2i−2i2i0000000000
χ2622222-2-22-22-20000-2-22-2002000000-2200000−2i2i2i−2i0000000000
χ2722222-2-22-22-20000-2-2-220020000002-20002i−2i0000−2i2i00000000
χ2822222-2-22-22-20000-2-2-220020000002-2000−2i2i00002i−2i00000000
χ294444444-4-4-4-444000000-400000000000000000000000000000
χ304444444-4-4-4-4-4-4000000400000000000000000000000000000
χ3144444-4-4-44-44004400000-40000000000000000000000000000
χ3244444-4-4-44-4400-4-40000040000000000000000000000000000
χ33444-4-400040-4004-40000000002i2i−2i−2i00000000000002i−2i000000
χ34444-4-400040-4004-4000000000−2i−2i2i2i0000000000000−2i2i000000
χ35444-4-400040-400-440000000002i2i−2i−2i0000000000000−2i2i000000
χ36444-4-400040-400-44000000000−2i−2i2i2i00000000000002i−2i000000
χ3744-44-40040-4000004-400000002i−2i2i−2i0000000000000002i−2i0000
χ3844-44-40040-4000004-40000000−2i2i−2i2i000000000000000−2i2i0000
χ3944-44-40040-400000-4400000002i−2i2i−2i000000000000000−2i2i0000
χ4044-44-40040-400000-440000000−2i2i−2i2i0000000000000002i−2i0000
χ4144-4-44-4400004-4000000000002-2-220002-20000000000000000
χ4244-4-44-4400004-400000000000-222-2000-220000000000000000
χ4344-4-44-440000-44000000000002-2-22000-220000000000000000
χ4444-4-44-440000-4400000000000-222-20002-20000000000000000
χ45888-8-8000-80800000000000000000000000000000000000000
χ4688-88-800-808000000000000000000000000000000000000000
χ4788-8-888-8000000000000000000000000000000000000000000
χ4816-16000000000000000000004-40000000000000000000000000
χ4916-1600000000000000000000-440000000000000000000000000

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