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Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=D4

Direct product G=N×Q with N=C2×C7⋊C3 and Q=D4
dρLabelID
C2×D4×C7⋊C356C2xD4xC7:C3336,165

Semidirect products G=N:Q with N=C2×C7⋊C3 and Q=D4
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3)⋊1D4 = C2×C4⋊F7φ: D4/C4 → C2 ⊆ Out C2×C7⋊C356(C2xC7:C3):1D4336,123
(C2×C7⋊C3)⋊2D4 = C2×Dic7⋊C6φ: D4/C22 → C2 ⊆ Out C2×C7⋊C356(C2xC7:C3):2D4336,130

Non-split extensions G=N.Q with N=C2×C7⋊C3 and Q=D4
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3).1D4 = C56⋊C6φ: D4/C4 → C2 ⊆ Out C2×C7⋊C3566(C2xC7:C3).1D4336,9
(C2×C7⋊C3).2D4 = D56⋊C3φ: D4/C4 → C2 ⊆ Out C2×C7⋊C3566+(C2xC7:C3).2D4336,10
(C2×C7⋊C3).3D4 = C8.F7φ: D4/C4 → C2 ⊆ Out C2×C7⋊C31126-(C2xC7:C3).3D4336,11
(C2×C7⋊C3).4D4 = C28⋊C12φ: D4/C4 → C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3).4D4336,16
(C2×C7⋊C3).5D4 = Dic7⋊C12φ: D4/C22 → C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3).5D4336,15
(C2×C7⋊C3).6D4 = D14⋊C12φ: D4/C22 → C2 ⊆ Out C2×C7⋊C356(C2xC7:C3).6D4336,17
(C2×C7⋊C3).7D4 = D4⋊F7φ: D4/C22 → C2 ⊆ Out C2×C7⋊C35612+(C2xC7:C3).7D4336,18
(C2×C7⋊C3).8D4 = D4.F7φ: D4/C22 → C2 ⊆ Out C2×C7⋊C35612-(C2xC7:C3).8D4336,19
(C2×C7⋊C3).9D4 = Q8⋊2F7φ: D4/C22 → C2 ⊆ Out C2×C7⋊C35612+(C2xC7:C3).9D4336,20
(C2×C7⋊C3).10D4 = Q8.2F7φ: D4/C22 → C2 ⊆ Out C2×C7⋊C311212-(C2xC7:C3).10D4336,21
(C2×C7⋊C3).11D4 = C23.2F7φ: D4/C22 → C2 ⊆ Out C2×C7⋊C356(C2xC7:C3).11D4336,22
(C2×C7⋊C3).12D4 = C22⋊C4×C7⋊C3φ: trivial image56(C2xC7:C3).12D4336,49
(C2×C7⋊C3).13D4 = C4⋊C4×C7⋊C3φ: trivial image112(C2xC7:C3).13D4336,50
(C2×C7⋊C3).14D4 = D8×C7⋊C3φ: trivial image566(C2xC7:C3).14D4336,53
(C2×C7⋊C3).15D4 = SD16×C7⋊C3φ: trivial image566(C2xC7:C3).15D4336,54
(C2×C7⋊C3).16D4 = Q16×C7⋊C3φ: trivial image1126(C2xC7:C3).16D4336,55

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