# Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=C2×C4

Direct product G=N×Q with N=C2×C7⋊C3 and Q=C2×C4
dρLabelID
C22×C4×C7⋊C3112C2^2xC4xC7:C3336,164

Semidirect products G=N:Q with N=C2×C7⋊C3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3)⋊1(C2×C4) = C2×C4×F7φ: C2×C4/C4C2 ⊆ Out C2×C7⋊C356(C2xC7:C3):1(C2xC4)336,122
(C2×C7⋊C3)⋊2(C2×C4) = C22×C7⋊C12φ: C2×C4/C22C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3):2(C2xC4)336,129

Non-split extensions G=N.Q with N=C2×C7⋊C3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3).1(C2×C4) = C8×F7φ: C2×C4/C4C2 ⊆ Out C2×C7⋊C3566(C2xC7:C3).1(C2xC4)336,7
(C2×C7⋊C3).2(C2×C4) = C8⋊F7φ: C2×C4/C4C2 ⊆ Out C2×C7⋊C3566(C2xC7:C3).2(C2xC4)336,8
(C2×C7⋊C3).3(C2×C4) = Dic7⋊C12φ: C2×C4/C4C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3).3(C2xC4)336,15
(C2×C7⋊C3).4(C2×C4) = D14⋊C12φ: C2×C4/C4C2 ⊆ Out C2×C7⋊C356(C2xC7:C3).4(C2xC4)336,17
(C2×C7⋊C3).5(C2×C4) = C2×C7⋊C24φ: C2×C4/C22C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3).5(C2xC4)336,12
(C2×C7⋊C3).6(C2×C4) = C28.C12φ: C2×C4/C22C2 ⊆ Out C2×C7⋊C3566(C2xC7:C3).6(C2xC4)336,13
(C2×C7⋊C3).7(C2×C4) = C4×C7⋊C12φ: C2×C4/C22C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3).7(C2xC4)336,14
(C2×C7⋊C3).8(C2×C4) = C28⋊C12φ: C2×C4/C22C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3).8(C2xC4)336,16
(C2×C7⋊C3).9(C2×C4) = C23.2F7φ: C2×C4/C22C2 ⊆ Out C2×C7⋊C356(C2xC7:C3).9(C2xC4)336,22
(C2×C7⋊C3).10(C2×C4) = C42×C7⋊C3φ: trivial image112(C2xC7:C3).10(C2xC4)336,48
(C2×C7⋊C3).11(C2×C4) = C22⋊C4×C7⋊C3φ: trivial image56(C2xC7:C3).11(C2xC4)336,49
(C2×C7⋊C3).12(C2×C4) = C4⋊C4×C7⋊C3φ: trivial image112(C2xC7:C3).12(C2xC4)336,50
(C2×C7⋊C3).13(C2×C4) = C2×C8×C7⋊C3φ: trivial image112(C2xC7:C3).13(C2xC4)336,51
(C2×C7⋊C3).14(C2×C4) = M4(2)×C7⋊C3φ: trivial image566(C2xC7:C3).14(C2xC4)336,52

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