Finite Group Databasebeta

← Group #24113

Character table — Group #24113

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1222222222444444444444444444224444444444444444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-111
χ51111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1
χ91111111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1-1-11111-1-11-11-1
χ101111111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-1-11-11
χ111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-11
χ121111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1
χ131111111111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-111-1-111-11-11
χ141111111111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-1111-11-1
χ151111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-11
χ1722222-2-2-2-222222-2-20000000022-2-200002-2000000000000
χ1822222-2-2-2-222222-2-200000000-2-2220000-22000000000000
χ1922222-2-2-2-22-2-2-2-2220000000022-2-20000-22000000000000
χ2022222-2-2-2-22-2-2-2-22200000000-2-22200002-2000000000000
χ212222-222-2-2-222-2-22-2000000000000020-200002-200000000
χ222222-222-2-2-222-2-22-20000000000000-2020000-2200000000
χ232222-222-2-2-2-2-222-22000000000000020-20000-2200000000
χ242222-222-2-2-2-2-222-220000000000000-20200002-200000000
χ252222-2-2-222-222-2-2-2200000000000020-20002-20000000000
χ262222-2-2-222-222-2-2-22000000000000-202000-220000000000
χ272222-2-2-222-2-2-2222-200000000000020-2000-220000000000
χ282222-2-2-222-2-2-2222-2000000000000-2020002-20000000000
χ2922-2-2-22-22-2200000000002i2i−2i−2i2i−2i2i−2i0000000000002-20000
χ3022-2-2-22-22-2200000000002i2i−2i−2i−2i2i−2i2i000000000000-220000
χ3122-2-2-22-22-220000000000−2i−2i2i2i2i−2i2i−2i000000000000-220000
χ3222-2-2-22-22-220000000000−2i−2i2i2i−2i2i−2i2i0000000000002-20000
χ3322-2-2-2-22-2220000002i2i−2i−2i00002i−2i−2i2i00000000002-2000000
χ3422-2-2-2-22-2220000002i2i−2i−2i0000−2i2i2i−2i0000000000-22000000
χ3522-2-2-2-22-222000000−2i−2i2i2i00002i−2i−2i2i0000000000-22000000
χ3622-2-2-2-22-222000000−2i−2i2i2i0000−2i2i2i−2i00000000002-2000000
χ3744-4-444-4-44-4000000000000000000000000000000000000
χ3844-4-44-444-4-4000000000000000000000000000000000000
χ394-44-4000000004i−4i002-22-22i−2i2i−2i0000000000000000000000
χ404-44-4000000004i−4i00-22-22−2i2i−2i2i0000000000000000000000
χ414-44-400000000−4i4i002-22-2−2i2i−2i2i0000000000000000000000
χ424-44-400000000−4i4i00-22-222i−2i2i−2i0000000000000000000000
χ434-4-440000004i−4i00002i−2i−2i2i2-2-220000000000000000000000
χ444-4-440000004i−4i0000−2i2i2i−2i-222-20000000000000000000000
χ454-4-44000000−4i4i00002i−2i−2i2i-222-20000000000000000000000
χ464-4-44000000−4i4i0000−2i2i2i−2i2-2-220000000000000000000000

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