Finite Group Databasebeta

← Group #149842

Character table — Group #149842

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444224444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-111111111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ61111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ71111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ81111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-1-1-1-111111111-1-111-1-111-1-1-1-111-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-1-111111111-1-111-1-111-1-1-1-111-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11-1-111ii−i−i−i−iiii−i−ii
χ14111111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11-1-111−i−iiiii−i−i−iii−i
χ15111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222222220000-2-2-2-2000022-2-2-20000000000000000
χ182222222222222-2-2-2-20000-2-2-2-20000-2-22220000000000000000
χ19222222-2-2-2-2-22222220000-2-2220000-2-2-2-220000000000000000
χ20222222-2-2-2-2-222-2-2-2-20000-2-22200002222-20000000000000000
χ212-22-22-2000002-22i2i−2i−2i002i−2i2-200002i−2i002i−2i0002-2000000000000
χ222-22-22-2000002-22i2i−2i−2i00−2i2i2-20000−2i2i002i−2i000-22000000000000
χ232-22-22-2000002-22i2i−2i−2i2-200-22002-20000−2i2i02i−2i00000000000000
χ242-22-22-2000002-22i2i−2i−2i-2200-2200-220000−2i2i0−2i2i00000000000000
χ252-22-22-2000002-2−2i−2i2i2i002i−2i2-200002i−2i00−2i2i000-22000000000000
χ262-22-22-2000002-2−2i−2i2i2i00−2i2i2-20000−2i2i00−2i2i0002-2000000000000
χ272-22-22-2000002-2−2i−2i2i2i2-200-22002-200002i−2i0−2i2i00000000000000
χ282-22-22-2000002-2−2i−2i2i2i-2200-2200-2200002i−2i02i−2i00000000000000
χ29444444444-4-4-4-40000000000000000000000000000000000000
χ30444444-4-4-444-4-40000000000000000000000000000000000000
χ314444-4-444-40000000022220000-2-2-2-2000000000000000000000
χ324444-4-444-400000000-2-2-2-200002222000000000000000000000
χ334444-4-4-4-440000000022-2-20000-2-222000000000000000000000
χ344444-4-4-4-4400000000-2-222000022-2-2000000000000000000000
χ354-44-44-400000-4400000000004i−4i0000000000000000000000000
χ364-44-44-400000-440000000000−4i4i0000000000000000000000000
χ374-44-4-440004i−4i0000002-22i−2i0000-22−2i2i000000000000000000000
χ384-44-4-440004i−4i000000-22−2i2i00002-22i−2i000000000000000000000
χ394-44-4-44000−4i4i0000002-2−2i2i0000-222i−2i000000000000000000000
χ404-44-4-44000−4i4i000000-222i−2i00002-2−2i2i000000000000000000000
χ414-4-44004i−4i000002i−2i2i−2i0000000000002-200000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ424-4-44004i−4i000002i−2i2i−2i0000000000002-20000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ434-4-44004i−4i00000−2i2i−2i2i000000000000-2200000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000
χ444-4-44004i−4i00000−2i2i−2i2i000000000000-220000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000
χ454-4-4400−4i4i000002i−2i2i−2i000000000000-2200000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000
χ464-4-4400−4i4i000002i−2i2i−2i000000000000-220000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000
χ474-4-4400−4i4i00000−2i2i−2i2i0000000000002-200000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ484-4-4400−4i4i00000−2i2i−2i2i0000000000002-20000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ4988-8-80000000004-4-44000000000000000000000000000000000
χ5088-8-8000000000-444-4000000000000000000000000000000000

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