Finite Group Databasebeta

← Group #7397

Character table — Group #7397

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size1111224444448888888888161616161616161616
order12442422244488888888882444816161616
χ11111111111111111111111111111111
χ21111111111111111111111-1-1-1-11-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-111-1-1-1-111111
χ5111111-1-111-1-1iiii−i−i−i−i-1-111-1-11ii−i−i
χ6111111-1-111-1-1iiii−i−i−i−i-1-1-1-1111−i−iii
χ7111111-1-111-1-1−i−i−i−iiiii-1-111-1-11−i−iii
χ8111111-1-111-1-1−i−i−i−iiiii-1-1-1-1111ii−i−i
χ922222222222200000000-2-20000-20000
χ10222222-2-222-2-200000000220000-20000
χ1122-2-22-200-22001+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i000000000
χ1222-2-22-200-22001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i000000000
χ1322-2-22-200-2200−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i000000000
χ1422-2-22-200-2200−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i000000000
χ1522-2-22-2222-2-2-2000000000000000i2−i2i2−i2
χ1622-2-22-2222-2-2-2000000000000000−i2i2−i2i2
χ1722-2-22-2-2-22-2220000000000000002−2−22
χ1822-2-22-2-2-22-222000000000000000−222−2
χ1944444400-4-4000000000000000000000
χ204444-4-40000000000000000002-200000
χ214444-4-4000000000000000000-2200000
χ2244-4-4-4400000000000000002-20000000
χ2344-4-4-440000000000000000-220000000
χ244-44i−4i002-2002i−2ii2−i22−2i2−i22−200000000000
χ254-44i−4i002-2002i−2i−i2i2−22−i2i2−2200000000000
χ264-44i−4i00-2200−2i2i2−2−i2i2−22i2−i200000000000
χ274-44i−4i00-2200−2i2i−22i2−i22−2−i2i200000000000
χ284-4−4i4i002-200−2i2ii2−i2−22i2−i2−2200000000000
χ294-4−4i4i002-200−2i2i−i2i22−2−i2i22−200000000000
χ304-4−4i4i00-22002i−2i2−2i2−i2−22−i2i200000000000
χ314-4−4i4i00-22002i−2i−22−i2i22−2i2−i200000000000

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