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

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

Semidirect products G=N:Q with N=C2×C4×C7⋊C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×C7⋊C3)⋊1C2 = D286C6φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3566(C2xC4xC7:C3):1C2336,124
(C2×C4×C7⋊C3)⋊2C2 = C2×C4⋊F7φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C356(C2xC4xC7:C3):2C2336,123
(C2×C4×C7⋊C3)⋊3C2 = C2×C4×F7φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C356(C2xC4xC7:C3):3C2336,122
(C2×C4×C7⋊C3)⋊4C2 = C2×D4×C7⋊C3φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C356(C2xC4xC7:C3):4C2336,165
(C2×C4×C7⋊C3)⋊5C2 = C4○D4×C7⋊C3φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3566(C2xC4xC7:C3):5C2336,167
(C2×C4×C7⋊C3)⋊6C2 = D14⋊C12φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C356(C2xC4xC7:C3):6C2336,17
(C2×C4×C7⋊C3)⋊7C2 = C22⋊C4×C7⋊C3φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C356(C2xC4xC7:C3):7C2336,49

Non-split extensions G=N.Q with N=C2×C4×C7⋊C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×C7⋊C3).1C2 = C28.C12φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3566(C2xC4xC7:C3).1C2336,13
(C2×C4×C7⋊C3).2C2 = C28⋊C12φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3112(C2xC4xC7:C3).2C2336,16
(C2×C4×C7⋊C3).3C2 = C2×C4.F7φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3112(C2xC4xC7:C3).3C2336,121
(C2×C4×C7⋊C3).4C2 = C2×C7⋊C24φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3112(C2xC4xC7:C3).4C2336,12
(C2×C4×C7⋊C3).5C2 = C4×C7⋊C12φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3112(C2xC4xC7:C3).5C2336,14
(C2×C4×C7⋊C3).6C2 = C4⋊C4×C7⋊C3φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3112(C2xC4xC7:C3).6C2336,50
(C2×C4×C7⋊C3).7C2 = M4(2)×C7⋊C3φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3566(C2xC4xC7:C3).7C2336,52
(C2×C4×C7⋊C3).8C2 = C2×Q8×C7⋊C3φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3112(C2xC4xC7:C3).8C2336,166
(C2×C4×C7⋊C3).9C2 = Dic7⋊C12φ: C2/C1C2 ⊆ Out C2×C4×C7⋊C3112(C2xC4xC7:C3).9C2336,15
(C2×C4×C7⋊C3).10C2 = C42×C7⋊C3φ: trivial image112(C2xC4xC7:C3).10C2336,48
(C2×C4×C7⋊C3).11C2 = C2×C8×C7⋊C3φ: trivial image112(C2xC4xC7:C3).11C2336,51

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