Finite Group Databasebeta

← Group #149837

Character table — Group #149837

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444222244444444444428888888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-111-1-111111-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ611111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ711111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1-111ii−i−i−i−iiii−i−ii
χ14111111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1-111−i−iiiii−i−i−iii−i
χ15111111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222222-2-2000000-2-20022-2-2-20000000000000000
χ1822222222222-2-222-2-2-2-2000000-2-200-2-22220000000000000000
χ19222222-2-2-2-2-2222222-2-20000002200-2-2-2-220000000000000000
χ20222222-2-2-2-2-2-2-222-2-2-2-200000022002222-20000000000000000
χ2122-2-22-2000002i−2i2-22i−2i2-200002i−2i002i−2i002i−2i0002-2000000000000
χ2222-2-22-2000002i−2i2-22i−2i2-20000−2i2i00−2i2i002i−2i000-22000000000000
χ2322-2-22-2000002i−2i2-22i−2i-222-22-200000000−2i2i02i−2i00000000000000
χ2422-2-22-2000002i−2i2-22i−2i-22-22-2200000000−2i2i0−2i2i00000000000000
χ2522-2-22-200000−2i2i2-2−2i2i2-200002i−2i002i−2i00−2i2i000-22000000000000
χ2622-2-22-200000−2i2i2-2−2i2i2-20000−2i2i00−2i2i00−2i2i0002-2000000000000
χ2722-2-22-200000−2i2i2-2−2i2i-222-22-2000000002i−2i0−2i2i00000000000000
χ2822-2-22-200000−2i2i2-2−2i2i-22-22-22000000002i−2i02i−2i00000000000000
χ2944444444-4-4400-4-400000000000000000000000000000000000
χ30444444-4-444-400-4-400000000000000000000000000000000000
χ314444-4-44400-40000000022-2-2-2-20022000000000000000000000
χ324444-4-44400-400000000-2-2222200-2-2000000000000000000000
χ334444-4-4-4-40040000000022-2-22200-2-2000000000000000000000
χ344444-4-4-4-400400000000-2-222-2-20022000000000000000000000
χ3544-4-44-40000000-4400000000004i−4i00000000000000000000000
χ3644-4-44-40000000-440000000000−4i4i00000000000000000000000
χ3744-4-4-44004i−4i0000000002-2-222i−2i00−2i2i000000000000000000000
χ3844-4-4-44004i−4i000000000-222-2−2i2i002i−2i000000000000000000000
χ3944-4-4-4400−4i4i0000000002-2-22−2i2i002i−2i000000000000000000000
χ4044-4-4-4400−4i4i000000000-222-22i−2i00−2i2i000000000000000000000
χ414-4-44004-40002200-2-20000000000002-20000000i2−i2i2−i2i2−i2i2−i20000
χ424-4-44004-40002200-2-20000000000002-20000000−i2i2−i2i2−i2i2−i2i20000
χ434-4-44004-4000-2-20022000000000000-2200000002−22−2−22−220000
χ444-4-44004-4000-2-20022000000000000-220000000−22−222−22−20000
χ454-4-4400-440002200-2-2000000000000-220000000i2−i2−i2i2i2−i2−i2i20000
χ464-4-4400-440002200-2-2000000000000-220000000−i2i2i2−i2−i2i2i2−i20000
χ474-4-4400-44000-2-200220000000000002-200000002−2−22−222−20000
χ484-4-4400-44000-2-200220000000000002-20000000−222−22−2−220000
χ498-88-800000004i−4i00−4i4i000000000000000000000000000000000
χ508-88-80000000−4i4i004i−4i000000000000000000000000000000000

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