Finite Group Databasebeta

← Group #7251

Character table — Group #7251

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222222224444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111-1-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-1-111-111-1-111-1-1-111-11-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-1-1-111-111-1-111-1-1-111-11-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ1111-1-1-111-111-1-111-1-1-111-11-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1211-1-1-111-111-1-111-1-1-111-11-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ1311-1-1-111-111-1-1-1-1111-1-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1
χ1411-1-1-111-111-1-1-1-1111-1-111-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ1511-1-1-111-111-1-1-1-1111-1-111-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ1611-1-1-111-111-1-1-1-1111-1-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1
χ17222222222222222-2-2-2-22-2-2000000000000000000000000
χ18222222222222-2-2-22222-2-2-2000000000000000000000000
χ1922-2-2-222-222-2-222-222-2-2-2-22000000000000000000000000
χ2022-2-2-222-222-2-2-2-22-2-2222-22000000000000000000000000
χ212-222-22-2-22-22-22-220000-200000000002−22−22−22−200000000
χ222-222-22-2-22-22-22-220000-20000000000−22−22−22−2200000000
χ232-222-22-2-22-22-2-22-2000020000000000i2−i2i2−i2−i2i2−i2i200000000
χ242-222-22-2-22-22-2-22-2000020000000000−i2i2−i2i2i2−i2i2−i200000000
χ252-222-22-2-2-22-220002i−2i2i−2i00000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i
χ262-222-22-2-2-22-220002i−2i2i−2i0000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i
χ272-222-22-2-2-22-22000−2i2i−2i2i00000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i
χ282-222-22-2-2-22-22000−2i2i−2i2i0000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i
χ292-2-2-222-222-2-222-2-20000200000000002−2−222−2−2200000000
χ302-2-2-222-222-2-222-2-2000020000000000−222−2−222−200000000
χ312-2-2-222-222-2-22-2220000-20000000000i2−i2−i2i2−i2i2i2−i200000000
χ322-2-2-222-222-2-22-2220000-20000000000−i2i2i2−i2i2−i2−i2i200000000
χ332-2-2-222-22-222-20002i−2i−2i2i00000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i
χ342-2-2-222-22-222-20002i−2i−2i2i0000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i
χ352-2-2-222-22-222-2000−2i2i2i−2i00000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i
χ362-2-2-222-22-222-2000−2i2i2i−2i0000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i
χ3744444444-4-4-4-40000000000000000000000000000000000
χ38444-44-4-4-40000000000000000002-22-20000000000000000
χ39444-44-4-4-4000000000000000000-22-220000000000000000
χ4044-44-4-4-440000000000000000002i−2i−2i2i0000000000000000
χ4144-44-4-4-44000000000000000000−2i2i2i−2i0000000000000000
χ4244-4-4-444-4-4-4440000000000000000000000000000000000
χ434-44-4-4-444000000000000002-22-200000000000000000000
χ444-44-4-4-44400000000000000-22-2200000000000000000000
χ454-4-444-44-4000000000000002i−2i−2i2i00000000000000000000
χ464-4-444-44-400000000000000−2i2i2i−2i00000000000000000000

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