Finite Group Databasebeta

← Group #7213

Character table — Group #7213

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222244444444444444448888881616161616161616
order1222222222224444444444444424444444448888
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111-1-1111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ61111111111-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii
χ71111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111-1-1-1-11111-1-1iiii−i−i−i−i-1-1-11ii−i−i1-11-1i−ii−i
χ10111111-1-1-1-11111-1-1iiii−i−i−i−i-1-1-11ii−i−i-11-11−ii−ii
χ11111111-1-1-1-11111-1-1−i−i−i−iiiii-1-1-11−i−iii1-11-1−ii−ii
χ12111111-1-1-1-11111-1-1−i−i−i−iiiii-1-1-11−i−iii-11-11i−ii−i
χ13111111-1-1-1-1-1-111-1-1iiii−i−i−i−i111-1−i−iiii−i−ii-111-1
χ14111111-1-1-1-1-1-111-1-1iiii−i−i−i−i111-1−i−iii−iii−i1-1-11
χ15111111-1-1-1-1-1-111-1-1−i−i−i−iiiii111-1ii−i−ii−i−ii1-1-11
χ16111111-1-1-1-1-1-111-1-1−i−i−i−iiiii111-1ii−i−i−iii−i-111-1
χ17222222222222-2-2-2-200000000-2-22-2000000000000
χ182222222222-2-2-2-2-2-20000000022-22000000000000
χ19222222-2-2-2-222-2-2220000000022-2-2000000000000
χ20222222-2-2-2-2-2-2-2-22200000000-2-222000000000000
χ2122-2-22-200002-2002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i001+i−1−i1−i−1+i00000000
χ2222-2-22-200002-2002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i00−1−i1+i−1+i1−i00000000
χ2322-2-22-200002-200−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i001−i−1+i1+i−1−i00000000
χ2422-2-22-200002-200−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i00−1+i1−i−1−i1+i00000000
χ2522-2-22-20000-22002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−2i2i00−1−i1+i−1+i1−i00000000
χ2622-2-22-20000-22002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2i2i001+i−1−i1−i−1+i00000000
χ2722-2-22-20000-2200−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2i−2i00−1+i1−i−1−i1+i00000000
χ2822-2-22-20000-2200−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2i−2i001−i−1+i1+i−1−i00000000
χ294444-4-44-44-4000000000000000000000000000000
χ304444-4-4-44-44000000000000000000000000000000
χ3144-4-4-440000004i−4i00000000000000000000000000
χ3244-4-4-44000000−4i4i00000000000000000000000000
χ334-44-400040-40000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ344-44-400040-4000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ354-44-4000-4040000002-22-2-22-220000000000000000
χ364-44-4000-404000000-22-222-22-20000000000000000
χ374-4-440040-400000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ384-4-440040-40000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ394-4-4400-40400000002-2-22-222-20000000000000000
χ404-4-4400-4040000000-222-22-2-220000000000000000

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