Extensions 1→N→G→Q→1 with N=C7:C16 and Q=C4

Direct product G=NxQ with N=C7:C16 and Q=C4
dρLabelID
C4xC7:C16448C4xC7:C16448,17

Semidirect products G=N:Q with N=C7:C16 and Q=C4
extensionφ:Q→Out NdρLabelID
C7:C16:1C4 = C56.Q8φ: C4/C1C4 ⊆ Out C7:C161124C7:C16:1C4448,44
C7:C16:2C4 = C8.Dic14φ: C4/C1C4 ⊆ Out C7:C161124C7:C16:2C4448,51
C7:C16:3C4 = C28.15C42φ: C4/C1C4 ⊆ Out C7:C161124C7:C16:3C4448,23
C7:C16:4C4 = C112:C4φ: C4/C1C4 ⊆ Out C7:C161124C7:C16:4C4448,69
C7:C16:5C4 = C8.4Dic14φ: C4/C2C2 ⊆ Out C7:C16448C7:C16:5C4448,46
C7:C16:6C4 = C8.5Dic14φ: C4/C2C2 ⊆ Out C7:C16448C7:C16:6C4448,47
C7:C16:7C4 = C56.C8φ: C4/C2C2 ⊆ Out C7:C16448C7:C16:7C4448,18
C7:C16:8C4 = C112:9C4φ: C4/C2C2 ⊆ Out C7:C16448C7:C16:8C4448,59
C7:C16:9C4 = C16xDic7φ: trivial image448C7:C16:9C4448,57

Non-split extensions G=N.Q with N=C7:C16 and Q=C4
extensionφ:Q→Out NdρLabelID
C7:C16.1C4 = C8.7Dic14φ: C4/C2C2 ⊆ Out C7:C162244C7:C16.1C4448,50
C7:C16.2C4 = C32:D7φ: C4/C2C2 ⊆ Out C7:C162242C7:C16.2C4448,4
C7:C16.3C4 = D7xC32φ: trivial image2242C7:C16.3C4448,3

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