# Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C28

Direct product G=N×Q with N=C22⋊C4 and Q=C28
dρLabelID
C22⋊C4×C28224C2^2:C4xC28448,785

Semidirect products G=N:Q with N=C22⋊C4 and Q=C28
extensionφ:Q→Out NdρLabelID
C22⋊C41C28 = C7×C2≀C4φ: C28/C7C4 ⊆ Out C22⋊C4564C2^2:C4:1C28448,155
C22⋊C42C28 = C7×C23.D4φ: C28/C7C4 ⊆ Out C22⋊C41124C2^2:C4:2C28448,156
C22⋊C43C28 = C7×C23.9D4φ: C28/C14C2 ⊆ Out C22⋊C4112C2^2:C4:3C28448,146
C22⋊C44C28 = C7×C23.8Q8φ: C28/C14C2 ⊆ Out C22⋊C4224C2^2:C4:4C28448,793
C22⋊C45C28 = C7×C24.C22φ: C28/C14C2 ⊆ Out C22⋊C4224C2^2:C4:5C28448,796

Non-split extensions G=N.Q with N=C22⋊C4 and Q=C28
extensionφ:Q→Out NdρLabelID
C22⋊C4.1C28 = C7×M4(2)⋊4C4φ: C28/C14C2 ⊆ Out C22⋊C41124C2^2:C4.1C28448,148
C22⋊C4.2C28 = C7×C42.6C22φ: C28/C14C2 ⊆ Out C22⋊C4224C2^2:C4.2C28448,832
C22⋊C4.3C28 = C7×C42.7C22φ: C28/C14C2 ⊆ Out C22⋊C4224C2^2:C4.3C28448,841
C22⋊C4.4C28 = C7×C89D4φ: C28/C14C2 ⊆ Out C22⋊C4224C2^2:C4.4C28448,843
C22⋊C4.5C28 = C7×C86D4φ: C28/C14C2 ⊆ Out C22⋊C4224C2^2:C4.5C28448,844
C22⋊C4.6C28 = C7×C82M4(2)φ: trivial image224C2^2:C4.6C28448,813
C22⋊C4.7C28 = D4×C56φ: trivial image224C2^2:C4.7C28448,842

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