Finite Group Databasebeta

← Group #25129

Character table — Group #25129

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444228888888822244444444488884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11-1-1-1-111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111111-11-1
χ91111111111-1-1-1-111-1-11111-1-1-1-1111-111-1-1-1-1-1111-1-1-111-1
χ101111111111-1-1-1-111-1-11111-1-1-1-111-11111-1-1-1-1-1-1-1111-1-11
χ111111111111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-1-11111111-1-11-1-11
χ121111111111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111111-1-1-111-111-1
χ131111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-11-1-111-1-111
χ141111111111-1-1-1-111-1-1-1-1-1-1111111-11-1-1111-1-1-111-1-111-1-1
χ151111111111-1-1-1-111-1-1-1-1-1-11111-1-11-111-1-1-1111-1-11111-1-1
χ161111111111-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-111-111-1-1-1-111
χ1722222222-2-22222-2-2-2-200000000002200-20000-200000000
χ1822222222-2-22222-2-2-2-20000000000-2-20020000200000000
χ1922222222-2-2-2-2-2-2-2-22200000000002-20020000-200000000
χ2022222222-2-2-2-2-2-2-2-2220000000000-2200-20000200000000
χ2122-22-2-2-222-200002-20000002i2i−2i−2i00002i−2i0002-2000000000
χ2222-22-2-2-222-200002-20000002i2i−2i−2i0000−2i2i000-22000000000
χ2322-22-2-2-222-200002-2000000−2i−2i2i2i00002i−2i000-22000000000
χ2422-22-2-2-222-200002-2000000−2i−2i2i2i0000−2i2i0002-2000000000
χ252-22-2-22-222222-2-2-2-22-22i2i−2i−2i2i−2i2i−2i00000000000000000000
χ262-22-2-22-222222-2-2-2-22-2−2i−2i2i2i−2i2i−2i2i00000000000000000000
χ272-22-2-22-2222-2-222-2-2-222i2i−2i−2i−2i2i−2i2i00000000000000000000
χ282-22-2-22-2222-2-222-2-2-22−2i−2i2i2i2i−2i2i−2i00000000000000000000
χ292-22-2-22-22-2-222-2-222-22000000000000000000002-22-20000
χ302-22-2-22-22-2-222-2-222-2200000000000000000000-22-220000
χ312-22-2-22-22-2-2-2-222222-2000000000000000000002-2-220000
χ322-22-2-22-22-2-2-2-222222-200000000000000000000-222-20000
χ332-2-2-22-2222-20000-220000002-2-222-2000002-200000000000
χ342-2-2-22-2222-20000-220000002-2-22-2200000-2200000000000
χ352-2-2-22-2222-20000-22000000-222-22-200000-2200000000000
χ362-2-2-22-2222-20000-22000000-222-2-22000002-200000000000
χ37444-44-4-4-4000000000022−2222−22000000000000000000000000
χ38444-44-4-4-40000000000−2222−2222000000000000000000000000
χ3944-44-4-4-44-440000-44000000000000000000000000000000
χ4044-4-4-444-4004i−4i4i−4i00000000000000000000000000000000
χ4144-4-4-444-400−4i4i−4i4i00000000000000000000000000000000
χ424-444-4-44-400000000002i2−2i2−2i22i2000000000000000000000000
χ434-444-4-44-40000000000−2i22i22i2−2i2000000000000000000000000
χ444-4-4444-4-4004i−4i−4i4i00000000000000000000000000000000
χ454-4-4444-4-400−4i4i4i−4i00000000000000000000000000000000
χ464-4-4-44-444-4400004-4000000000000000000000000000000

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