Extensions 1→N→G→Q→1 with N=C4xC7:C3 and Q=C4

Direct product G=NxQ with N=C4xC7:C3 and Q=C4
dρLabelID
C42xC7:C3112C4^2xC7:C3336,48

Semidirect products G=N:Q with N=C4xC7:C3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4xC7:C3):1C4 = C28:C12φ: C4/C2C2 ⊆ Out C4xC7:C3112(C4xC7:C3):1C4336,16
(C4xC7:C3):2C4 = C4xC7:C12φ: C4/C2C2 ⊆ Out C4xC7:C3112(C4xC7:C3):2C4336,14
(C4xC7:C3):3C4 = C4:C4xC7:C3φ: C4/C2C2 ⊆ Out C4xC7:C3112(C4xC7:C3):3C4336,50

Non-split extensions G=N.Q with N=C4xC7:C3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4xC7:C3).1C4 = C28.C12φ: C4/C2C2 ⊆ Out C4xC7:C3566(C4xC7:C3).1C4336,13
(C4xC7:C3).2C4 = C7:C48φ: C4/C2C2 ⊆ Out C4xC7:C31126(C4xC7:C3).2C4336,1
(C4xC7:C3).3C4 = C2xC7:C24φ: C4/C2C2 ⊆ Out C4xC7:C3112(C4xC7:C3).3C4336,12
(C4xC7:C3).4C4 = M4(2)xC7:C3φ: C4/C2C2 ⊆ Out C4xC7:C3566(C4xC7:C3).4C4336,52
(C4xC7:C3).5C4 = C16xC7:C3φ: trivial image1123(C4xC7:C3).5C4336,2
(C4xC7:C3).6C4 = C2xC8xC7:C3φ: trivial image112(C4xC7:C3).6C4336,51

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