Finite Group Databasebeta

← Group #150668

Character table — Group #150668

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222244444444488881616161616161616161616161616161616161632323232
order12222244444444444444424444448888888888888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1iiii−i−i−i−iii−i−i
χ61111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1−i−i−i−iiiii−i−iii
χ71111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111iiii−i−i−i−i−i−iii
χ81111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-1-1-1-11111111-1-111-11-1-11-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-1-11111111-1-111-11-1-11-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-1-11111111-1-11-111-1-1-11-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-1-11111111-1-11-111-1-1-11-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-1-111-1-1-1-1-111-11-11-111-1-1-111ii−i−i−i−iiii−i−ii
χ14111111-1-1-1-1-111-1-1-1-1-111-11-11-111-1-1-111−i−iiiii−i−i−iii−i
χ15111111-1-1-1-1-111-1-1-1-1-111-1-111-11-1111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1-1-1-111-1-1-1-1-111-1-111-11-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222222-222-200-2-2-2000000000000000000
χ182222222222222-2-2-2-22-2-2200-2-22000000000000000000
χ19222222-2-2-2-2-2222222-2-2-2-200-222000000000000000000
χ20222222-2-2-2-2-222-2-2-2-2222200-22-2000000000000000000
χ21444444444-4-4-4-40000000000000000000000000000000
χ22444444-4-4-444-4-40000000000000000000000000000000
χ234444-4-444-400000000000022000-2-20000000000000000
χ244444-4-444-4000000000000-2-2000220000000000000000
χ254444-4-4-4-440000000000002-2000-220000000000000000
χ264444-4-4-4-44000000000000-220002-20000000000000000
χ274-44-4004i−4i000002i2i−2i−2i02-20000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ284-44-4004i−4i000002i2i−2i−2i02-2000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ294-44-4004i−4i00000−2i−2i2i2i0-220000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000
χ304-44-4004i−4i00000−2i−2i2i2i0-22000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000
χ314-44-400−4i4i000002i2i−2i−2i0-220000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000
χ324-44-400−4i4i000002i2i−2i−2i0-22000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000
χ334-44-400−4i4i00000−2i−2i2i2i02-20000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ344-44-400−4i4i00000−2i−2i2i2i02-2000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ354-4-444-4000004-40000400-400000000000000000000000
χ364-4-444-4000004-40000-400400000000000000000000000
χ374-4-444-400000-444i−4i4i−4i000000000000000000000000000
χ384-4-444-400000-44−4i4i−4i4i000000000000000000000000000
χ394-4-44-440004i−4i000000000000000002-22i−2i000000000000
χ404-4-44-440004i−4i00000000000000000-22−2i2i000000000000
χ414-4-44-44000−4i4i000000000000000002-2−2i2i000000000000
χ424-4-44-44000−4i4i00000000000000000-222i−2i000000000000
χ4388-8-80000000004-4-44000000000000000000000000000
χ4488-8-8000000000-444-4000000000000000000000000000

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