Finite Group Databasebeta

← Group #1350

Character table — Group #1350

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29
size1111222222224444444444488881616
order1222444488882881616161616161616888844
χ111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111-1-1-1-1-1-1-111iiii−i−i−i−iii−i−i1-1
χ6111111-1-1-1-1-1-1-111iiii−i−i−i−i−i−iii-11
χ7111111-1-1-1-1-1-1-111−i−i−i−iiiiiii−i−i-11
χ8111111-1-1-1-1-1-1-111−i−i−i−iiiii−i−iii1-1
χ922222222-2-2-2-22-2-200000000000000
χ10222222-2-22222-2-2-200000000000000
χ112222-2-2220000-20022−2−222−2−2000000
χ122222-2-2220000-200−2−222−2−222000000
χ132222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i2000000
χ142222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i2000000
χ152-22-2002i−2ii2i2−i2−i202−2ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3000000
χ162-22-2002i−2ii2i2−i2−i202−2−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3000000
χ172-22-2002i−2i−i2−i2i2i20−22ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7000000
χ182-22-2002i−2i−i2−i2i2i20−22−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7000000
χ192-22-200−2i2ii2i2−i2−i20−22ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3000000
χ202-22-200−2i2ii2i2−i2−i20−22−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3000000
χ212-22-200−2i2i−i2−i2i2i202−2ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7000000
χ222-22-200−2i2i−i2−i2i2i202−2−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7000000
χ232-2-222-2002i−2i2i−2i000000000001−i−1+i1+i−1−i00
χ242-2-222-2002i−2i2i−2i00000000000−1+i1−i−1−i1+i00
χ252-2-222-200−2i2i−2i2i000000000001+i−1−i1−i−1+i00
χ262-2-222-200−2i2i−2i2i00000000000−1−i1+i−1+i1−i00
χ2744-4-4000022−22−222200000000000000000
χ2844-4-40000−222222−2200000000000000000
χ294-4-44-4400000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.