Finite Group Databasebeta

← Group #29232

Character table — Group #29232

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order1244222444444444444444444422444444888888884488
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-111-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1
χ611111111111-1-1-1-111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-11-11
χ711111111111-1-1-1-111111-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-11-11
χ811111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1
χ91111111-1-1-1-11111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-111-1
χ101111111-1-1-1-11111111-1-111-1-1-1-11-11-1-1-1-1-11111-1-1111-1-11
χ111111111-1-1-1-11111111-1-111-1-1-1-1-11-111111-1-1-1-111-1-11-1-11
χ121111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1
χ131111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ141111111-1-1-1-1-1-1-1-1111-1-1-1-111111-11-1-1-111-1-11111-1-111-1-1
χ151111111-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1111-1-111-1-1-1-11111-1-1
χ161111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1722222-2-2000022222-2-200-2-2000000002i−2i0000002i−2i000000
χ1822222-2-2000022222-2-200-2-200000000−2i2i000000−2i2i000000
χ1922222-2-20000-2-2-2-22-2-20022000000002i−2i000000−2i2i000000
χ2022222-2-20000-2-2-2-22-2-2002200000000−2i2i0000002i−2i000000
χ212222-22-222220000-22-2-2-20000000000002i−2i0000002i−2i0000
χ222222-22-222220000-22-2-2-2000000000000−2i2i000000−2i2i0000
χ232222-22-2-2-2-2-20000-22-2220000000000002i−2i000000−2i2i0000
χ242222-22-2-2-2-2-20000-22-222000000000000−2i2i0000002i−2i0000
χ2522-2-22-2-22i2i−2i−2i0000-2222i−2i000000020-20000002i−2i00000000
χ2622-2-22-2-22i2i−2i−2i0000-2222i−2i0000000-202000000−2i2i00000000
χ2722-2-22-2-2−2i−2i2i2i0000-222−2i2i000000020-2000000−2i2i00000000
χ2822-2-22-2-2−2i−2i2i2i0000-222−2i2i0000000-2020000002i−2i00000000
χ2922-2-2-22-200002i2i−2i−2i2-22002i−2i000020-2000002i−2i0000000000
χ3022-2-2-22-200002i2i−2i−2i2-22002i−2i0000-20200000−2i2i0000000000
χ3122-2-2-22-20000−2i−2i2i2i2-2200−2i2i000020-200000−2i2i0000000000
χ3222-2-2-22-20000−2i−2i2i2i2-2200−2i2i0000-202000002i−2i0000000000
χ3322-2-2-2-222i2i−2i−2i2i2i−2i−2i22-2−2i2i−2i2i22-2-200000000000000000000
χ3422-2-2-2-222i2i−2i−2i−2i−2i2i2i22-2−2i2i2i−2i-2-22200000000000000000000
χ3522-2-2-2-22−2i−2i2i2i2i2i−2i−2i22-22i−2i−2i2i-2-22200000000000000000000
χ3622-2-2-2-22−2i−2i2i2i−2i−2i2i2i22-22i−2i2i−2i22-2-200000000000000000000
χ374444-4-4400000000-4-440000000000000000000000000000
χ3844-4-444400000000-4-4-40000000000000000000000000000
χ394-44i−4i0002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i00000002-22i−2i00000000000000000000
χ404-44i−4i0002+2i−2−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i0000000-22−2i2i00000000000000000000
χ414-44i−4i000−2−2i2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i0000000-22−2i2i00000000000000000000
χ424-44i−4i000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i00000002-22i−2i00000000000000000000
χ434-4−4i4i0002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00000002-2−2i2i00000000000000000000
χ444-4−4i4i0002−2i−2+2i2+2i−2−2i−2+2i2−2i−2−2i2+2i0000000-222i−2i00000000000000000000
χ454-4−4i4i000−2+2i2−2i−2−2i2+2i2−2i−2+2i2+2i−2−2i0000000-222i−2i00000000000000000000
χ464-4−4i4i000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i00000002-2−2i2i00000000000000000000

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