Extensions 1→N→G→Q→1 with N=C3×C7⋊C3 and Q=C6

Direct product G=N×Q with N=C3×C7⋊C3 and Q=C6
dρLabelID
C3×C6×C7⋊C3126C3xC6xC7:C3378,52

Semidirect products G=N:Q with N=C3×C7⋊C3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3×C7⋊C3)⋊C6 = D7⋊He3φ: C6/C1C6 ⊆ Out C3×C7⋊C3636(C3xC7:C3):C6378,12
(C3×C7⋊C3)⋊2C6 = C2×C7⋊He3φ: C6/C2C3 ⊆ Out C3×C7⋊C31263(C3xC7:C3):2C6378,28
(C3×C7⋊C3)⋊3C6 = C3×C3⋊F7φ: C6/C3C2 ⊆ Out C3×C7⋊C3426(C3xC7:C3):3C6378,49
(C3×C7⋊C3)⋊4C6 = C32×F7φ: C6/C3C2 ⊆ Out C3×C7⋊C363(C3xC7:C3):4C6378,47
(C3×C7⋊C3)⋊5C6 = C3×S3×C7⋊C3φ: C6/C3C2 ⊆ Out C3×C7⋊C3426(C3xC7:C3):5C6378,48

Non-split extensions G=N.Q with N=C3×C7⋊C3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3×C7⋊C3).1C6 = C93F7φ: C6/C1C6 ⊆ Out C3×C7⋊C3636(C3xC7:C3).1C6378,8
(C3×C7⋊C3).2C6 = C94F7φ: C6/C1C6 ⊆ Out C3×C7⋊C3636(C3xC7:C3).2C6378,9
(C3×C7⋊C3).3C6 = C2×C63⋊C3φ: C6/C2C3 ⊆ Out C3×C7⋊C31263(C3xC7:C3).3C6378,24
(C3×C7⋊C3).4C6 = C2×C633C3φ: C6/C2C3 ⊆ Out C3×C7⋊C31263(C3xC7:C3).4C6378,25
(C3×C7⋊C3).5C6 = C9×F7φ: C6/C3C2 ⊆ Out C3×C7⋊C3636(C3xC7:C3).5C6378,7
(C3×C7⋊C3).6C6 = C18×C7⋊C3φ: trivial image1263(C3xC7:C3).6C6378,23

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