Finite Group Databasebeta

← Group #28997

Character table — Group #28997

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888824444444444488882444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-111-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911111111-1-1-1-11111-1-11111-1-1-1-11-1-1111-1-111-1-111-1-11-1-11
χ1011111111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-1111-1-11111-1-1-111-1
χ1111111111-1-1-1-11111-1-11111-1-1-1-1-11111-1-1-111-1-1-1-111-111-1
χ1211111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-111-1-111-1-1111-1-11
χ1311111111-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1111-11-1
χ1411111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-11-11
χ1511111111-1-1-1-11111-1-1-1-1-1-11111-11111-1-1-1-1-11111-1-1-11-11
χ1611111111-1-1-1-11111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-11-11-1
χ17222222222222-2-2-2-2-2-20000000022-200-200000000000000
χ18222222222222-2-2-2-2-2-200000000-2-2200200000000000000
χ1922222222-2-2-2-2-2-2-2-222000000002-2200-200000000000000
χ2022222222-2-2-2-2-2-2-2-22200000000-22-200200000000000000
χ2122-2-2-222-22i2i−2i−2i2-2-222i−2i2i2i−2i−2i22-2-200000000000000000000
χ2222-2-2-222-22i2i−2i−2i2-2-222i−2i−2i−2i2i2i-2-22200000000000000000000
χ2322-2-2-222-22i2i−2i−2i-222-2−2i2i000000000000000000002-22i−2i0000
χ2422-2-2-222-22i2i−2i−2i-222-2−2i2i00000000000000000000-22−2i2i0000
χ2522-2-2-222-2−2i−2i2i2i2-2-22−2i2i2i2i−2i−2i-2-22200000000000000000000
χ2622-2-2-222-2−2i−2i2i2i2-2-22−2i2i−2i−2i2i2i22-2-200000000000000000000
χ2722-2-2-222-2−2i−2i2i2i-222-22i−2i000000000000000000002-2−2i2i0000
χ2822-2-2-222-2−2i−2i2i2i-222-22i−2i00000000000000000000-222i−2i0000
χ292-22-2-22-22000022-2-20000002i−2i2i−2i0000002i−2i2-20000000000
χ302-22-2-22-22000022-2-20000002i−2i2i−2i000000−2i2i-220000000000
χ312-22-2-22-22000022-2-2000000−2i2i−2i2i0000002i−2i-220000000000
χ322-22-2-22-22000022-2-2000000−2i2i−2i2i000000−2i2i2-20000000000
χ332-2-2222-2-200002-22-20000002i−2i−2i2i0002-2000002i−2i00000000
χ342-2-2222-2-200002-22-20000002i−2i−2i2i000-2200000−2i2i00000000
χ352-2-2222-2-200002-22-2000000−2i2i2i−2i0002-200000−2i2i00000000
χ362-2-2222-2-200002-22-2000000−2i2i2i−2i000-22000002i−2i00000000
χ374444-4-4-4-44-44-40000000000000000000000000000000000
χ384444-4-4-4-4-44-440000000000000000000000000000000000
χ3944-4-44-4-444i−4i−4i4i0000000000000000000000000000000000
χ4044-4-44-4-44−4i4i4i−4i0000000000000000000000000000000000
χ414-44-44-44-400000000002i2−2i22i2−2i2000000000000000000000000
χ424-44-44-44-40000000000−2i22i2−2i22i2000000000000000000000000
χ434-44-4-44-440000-4-444000000000000000000000000000000
χ444-4-4444-4-40000-44-44000000000000000000000000000000
χ454-4-44-4-444000000000022−22−2222000000000000000000000000
χ464-4-44-4-4440000000000−222222−22000000000000000000000000

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