Extensions 1→N→G→Q→1 with N=M4(2) and Q=C28

Direct product G=N×Q with N=M4(2) and Q=C28

Semidirect products G=N:Q with N=M4(2) and Q=C28
extensionφ:Q→Out NdρLabelID
M4(2)⋊1C28 = C7×M4(2)⋊C4φ: C28/C14C2 ⊆ Out M4(2)224M4(2):1C28448,836
M4(2)⋊2C28 = C7×C426C4φ: C28/C14C2 ⊆ Out M4(2)112M4(2):2C28448,143
M4(2)⋊3C28 = C7×C22.C42φ: C28/C14C2 ⊆ Out M4(2)224M4(2):3C28448,147
M4(2)⋊4C28 = C7×M4(2)⋊4C4φ: C28/C14C2 ⊆ Out M4(2)1124M4(2):4C28448,148
M4(2)⋊5C28 = C7×C82M4(2)φ: trivial image224M4(2):5C28448,813

Non-split extensions G=N.Q with N=M4(2) and Q=C28
extensionφ:Q→Out NdρLabelID
M4(2).1C28 = C7×M4(2).C4φ: C28/C14C2 ⊆ Out M4(2)1124M4(2).1C28448,838
M4(2).2C28 = C7×C4.C42φ: C28/C14C2 ⊆ Out M4(2)224M4(2).2C28448,145
M4(2).3C28 = C7×D4.C8φ: C28/C14C2 ⊆ Out M4(2)2242M4(2).3C28448,154
M4(2).4C28 = C7×D4○C16φ: trivial image2242M4(2).4C28448,912