Finite Group Databasebeta

← Group #150577

Character table — Group #150577

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222244444444488881616161616161616161616161616161616161632323232
order12222244224444444224422444448888888888884444
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-1111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11-1-1-1-11111-111iiii−i−i−i−i-1-1-1-1ii−i−i
χ6111111111111-1-1-1-11-1-1-1-11111-111−i−i−i−iiiii-1-1-1-1−i−iii
χ7111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1iiii−i−i−i−i1111−i−iii
χ8111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1−i−i−i−iiiii1111ii−i−i
χ9111111-1-1-1-11-11111111-1-11-11-1-11-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-11-11111111-1-11-11-1-11-1-1-111-1-11111-1-1-11-11
χ11111111-1-1-1-11-11111111-1-1-111-1-1-1111-1-111-1-1-1-111-11-11
χ12111111-1-1-1-11-11111111-1-1-111-1-1-11-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-11-1-1-1-1-11-1-1111-11-111-1ii−i−i−i−iii-1-111i−i−ii
χ14111111-1-1-1-11-1-1-1-1-11-1-1111-11-111-1−i−iiiii−i−i-1-111−iii−i
χ15111111-1-1-1-11-1-1-1-1-11-1-111-111-11-11ii−i−i−i−iii11-1-1−iii−i
χ16111111-1-1-1-11-1-1-1-1-11-1-111-111-11-11−i−iiiii−i−i11-1-1i−i−ii
χ1722222222222222222-2-22200-2-2-2000000000000000000
χ18222222222222-2-2-2-2222-2-200-2-22000000000000000000
χ19222222-2-2-2-22-222222-2-2-2-200-222000000000000000000
χ20222222-2-2-2-22-2-2-2-2-22222200-22-2000000000000000000
χ2144444444-4-4-440000-4000000000000000000000000000
χ22444444-4-444-4-40000-4000000000000000000000000000
χ234444-4-444000-40000000002-2000-220000000000000000
χ244444-4-444000-4000000000-220002-20000000000000000
χ254444-4-4-4-4000400000000022000-2-20000000000000000
χ264444-4-4-4-40004000000000-2-2000220000000000000000
χ2744-4-4004i−4i000022-2-20002i−2i0000000i2−i22−2i2−i22−200000000
χ2844-4-4004i−4i000022-2-20002i−2i0000000−i2i2−22−i2i2−2200000000
χ2944-4-4004i−4i0000-2-222000−2i2i00000002−2−i2i2−22i2−i200000000
χ3044-4-4004i−4i0000-2-222000−2i2i0000000−22i2−i22−2−i2i200000000
χ3144-4-400−4i4i000022-2-2000−2i2i0000000i2−i2−22i2−i2−2200000000
χ3244-4-400−4i4i000022-2-2000−2i2i0000000−i2i22−2−i2i22−200000000
χ3344-4-400−4i4i0000-2-2220002i−2i00000002−2i2−i2−22−i2i200000000
χ3444-4-400−4i4i0000-2-2220002i−2i0000000−22−i2i22−2i2−i200000000
χ354-4-444-40000404i−4i4i−4i-4000000000000000000000000000
χ364-4-444-4000040−4i4i−4i4i-4000000000000000000000000000
χ374-4-444-40000-40000044-40000000000000000000000000
χ384-4-444-40000-4000004-440000000000000000000000000
χ394-4-44-44004-4000000000000000000000000002-22-20000
χ404-4-44-44004-400000000000000000000000000-22-220000
χ414-4-44-4400-44000000000000000000000000002-2-220000
χ424-4-44-4400-4400000000000000000000000000-222-20000
χ438-88-8000000004i−4i−4i4i0000000000000000000000000000
χ448-88-800000000−4i4i4i−4i0000000000000000000000000000

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