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Extensions 1→N→G→Q→1 with N=C2xC7:C3 and Q=C2xC4

Direct product G=NxQ with N=C2xC7:C3 and Q=C2xC4
dρLabelID
C22xC4xC7:C3112C2^2xC4xC7:C3336,164

Semidirect products G=N:Q with N=C2xC7:C3 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
(C2xC7:C3):1(C2xC4) = C2xC4xF7φ: C2xC4/C4 → C2 ⊆ Out C2xC7:C356(C2xC7:C3):1(C2xC4)336,122
(C2xC7:C3):2(C2xC4) = C22xC7:C12φ: C2xC4/C22 → C2 ⊆ Out C2xC7:C3112(C2xC7:C3):2(C2xC4)336,129

Non-split extensions G=N.Q with N=C2xC7:C3 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
(C2xC7:C3).1(C2xC4) = C8xF7φ: C2xC4/C4 → C2 ⊆ Out C2xC7:C3566(C2xC7:C3).1(C2xC4)336,7
(C2xC7:C3).2(C2xC4) = C8:F7φ: C2xC4/C4 → C2 ⊆ Out C2xC7:C3566(C2xC7:C3).2(C2xC4)336,8
(C2xC7:C3).3(C2xC4) = Dic7:C12φ: C2xC4/C4 → C2 ⊆ Out C2xC7:C3112(C2xC7:C3).3(C2xC4)336,15
(C2xC7:C3).4(C2xC4) = D14:C12φ: C2xC4/C4 → C2 ⊆ Out C2xC7:C356(C2xC7:C3).4(C2xC4)336,17
(C2xC7:C3).5(C2xC4) = C2xC7:C24φ: C2xC4/C22 → C2 ⊆ Out C2xC7:C3112(C2xC7:C3).5(C2xC4)336,12
(C2xC7:C3).6(C2xC4) = C28.C12φ: C2xC4/C22 → C2 ⊆ Out C2xC7:C3566(C2xC7:C3).6(C2xC4)336,13
(C2xC7:C3).7(C2xC4) = C4xC7:C12φ: C2xC4/C22 → C2 ⊆ Out C2xC7:C3112(C2xC7:C3).7(C2xC4)336,14
(C2xC7:C3).8(C2xC4) = C28:C12φ: C2xC4/C22 → C2 ⊆ Out C2xC7:C3112(C2xC7:C3).8(C2xC4)336,16
(C2xC7:C3).9(C2xC4) = C23.2F7φ: C2xC4/C22 → C2 ⊆ Out C2xC7:C356(C2xC7:C3).9(C2xC4)336,22
(C2xC7:C3).10(C2xC4) = C42xC7:C3φ: trivial image112(C2xC7:C3).10(C2xC4)336,48
(C2xC7:C3).11(C2xC4) = C22:C4xC7:C3φ: trivial image56(C2xC7:C3).11(C2xC4)336,49
(C2xC7:C3).12(C2xC4) = C4:C4xC7:C3φ: trivial image112(C2xC7:C3).12(C2xC4)336,50
(C2xC7:C3).13(C2xC4) = C2xC8xC7:C3φ: trivial image112(C2xC7:C3).13(C2xC4)336,51
(C2xC7:C3).14(C2xC4) = M4(2)xC7:C3φ: trivial image566(C2xC7:C3).14(C2xC4)336,52

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