Finite Group Databasebeta

← Group #7250

Character table — Group #7250

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1111111122224444444488888888888888888888888888
order1222222222222222444444444444444444444488888888
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
χ911-1-1-111-111-1-111-1-1-1-1111-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ1011-1-1-111-111-1-111-1-1-1-1111-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ1111-1-1-111-111-1-111-1-1-1-1111-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ1211-1-1-111-111-1-111-1-1-1-1111-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ1311-1-1-111-111-1-1-1-11111-1-11-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ1411-1-1-111-111-1-1-1-11111-1-11-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ1511-1-1-111-111-1-1-1-11111-1-11-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ1611-1-1-111-111-1-1-1-11111-1-11-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ172222222222222222-2-2-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-22222-2-2000000000000000000000000
χ192222-2-2-2-22-22-22-22-200000000000000000000002−22−22−22−2
χ202222-2-2-2-22-22-22-22-20000000000000000000000−22−22−22−22
χ212222-2-2-2-22-22-2-22-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ222222-2-2-2-22-22-2-22-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ232222-2-2-2-2-22-2200002i−2i2i−2i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ242222-2-2-2-2-22-2200002i−2i2i−2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ252222-2-2-2-2-22-220000−2i2i−2i2i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ262222-2-2-2-2-22-220000−2i2i−2i2i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ2722-2-22-2-222-2-222-2-2200000000000000000000002−2−222−2−22
χ2822-2-22-2-222-2-222-2-220000000000000000000000−222−2−222−2
χ2922-2-22-2-222-2-22-222-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ3022-2-22-2-222-2-22-222-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ3122-2-22-2-22-222-200002i−2i−2i2i00000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ3222-2-22-2-22-222-200002i−2i−2i2i0000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ3322-2-22-2-22-222-20000−2i2i2i−2i00000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ3422-2-22-2-22-222-20000−2i2i2i−2i0000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ3522-2-2-222-222-2-222-2-222-2-2-22000000000000000000000000
χ3622-2-2-222-222-2-2-2-222-2-222-22000000000000000000000000
χ3744444444-4-4-4-40000000000000000000000000000000000
χ3844-4-4-444-4-4-4440000000000000000000000000000000000
χ394-44-444-4-40000000000000000002i−2i2i−2i0000000000000000
χ404-44-444-4-4000000000000000000−2i2i−2i2i0000000000000000
χ414-44-4-4-444000000000000002-22-200000000000000000000
χ424-44-4-4-44400000000000000-22-2200000000000000000000
χ434-4-444-44-4000000000000002i−2i−2i2i00000000000000000000
χ444-4-444-44-400000000000000−2i2i2i−2i00000000000000000000
χ454-4-44-44-440000000000000000002-2-220000000000000000
χ464-4-44-44-44000000000000000000-222-20000000000000000

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