Finite Group Databasebeta

← Group #149840

Character table — Group #149840

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444222244444444444448888888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ711111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11-1-111ii−i−i−i−iiii−i−ii
χ14111111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11-1-111−i−iiiii−i−i−iii−i
χ15111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222222-2-200-2-200000022-2-2-20000000000000000
χ1822222222222-2-222-2-2-2-200-2-2000000-2-22220000000000000000
χ19222222-2-2-2-2-2222222-2-20022000000-2-2-2-220000000000000000
χ20222222-2-2-2-2-2-2-222-2-2-2-200220000002222-20000000000000000
χ2122-2-22-2000002i−2i2-22i−2i2-20000002i2i−2i−2i002i−2i0002-2000000000000
χ2222-2-22-2000002i−2i2-22i−2i2-2000000−2i−2i2i2i002i−2i000-22000000000000
χ2322-2-22-2000002i−2i2-22i−2i-222-2002-2000000−2i2i02i−2i00000000000000
χ2422-2-22-2000002i−2i2-22i−2i-22-2200-22000000−2i2i0−2i2i00000000000000
χ2522-2-22-200000−2i2i2-2−2i2i2-20000002i2i−2i−2i00−2i2i000-22000000000000
χ2622-2-22-200000−2i2i2-2−2i2i2-2000000−2i−2i2i2i00−2i2i0002-2000000000000
χ2722-2-22-200000−2i2i2-2−2i2i-222-2002-20000002i−2i0−2i2i00000000000000
χ2822-2-22-200000−2i2i2-2−2i2i-22-2200-220000002i−2i02i−2i00000000000000
χ29444444444-4-400-4-400000000000000000000000000000000000
χ30444444-4-4-44400-4-400000000000000000000000000000000000
χ314444-4-444-400000000002200-2-22-22-2000000000000000000000
χ324444-4-444-40000000000-2-20022-22-22000000000000000000000
χ334444-4-4-4-4400000000002200-2-2-22-22000000000000000000000
χ344444-4-4-4-440000000000-2-200222-22-2000000000000000000000
χ3544-4-44-40000000-440000004i−4i000000000000000000000000000
χ3644-4-44-40000000-44000000−4i4i000000000000000000000000000
χ3744-4-4-440004i−4i000000002-200-222i−2i−2i2i000000000000000000000
χ3844-4-4-440004i−4i00000000-22002-2−2i2i2i−2i000000000000000000000
χ3944-4-4-44000−4i4i000000002-200-22−2i2i2i−2i000000000000000000000
χ4044-4-4-44000−4i4i00000000-22002-22i−2i−2i2i000000000000000000000
χ414-44-4004-40002i−2i00−2i2i0000000000002i−2i00000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ424-44-4004-40002i−2i00−2i2i0000000000002i−2i0000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ434-44-4004-4000−2i2i002i−2i000000000000−2i2i00000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ444-44-4004-4000−2i2i002i−2i000000000000−2i2i0000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ454-44-400-440002i−2i00−2i2i000000000000−2i2i00000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ464-44-400-440002i−2i00−2i2i000000000000−2i2i0000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ474-44-400-44000−2i2i002i−2i0000000000002i−2i00000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ484-44-400-44000−2i2i002i−2i0000000000002i−2i0000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ498-8-8800000004400-4-4000000000000000000000000000000000
χ508-8-880000000-4-40044000000000000000000000000000000000

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