Extensions 1→N→G→Q→1 with N=C3xC7:C3 and Q=C6

Direct product G=NxQ with N=C3xC7:C3 and Q=C6
dρLabelID
C3xC6xC7:C3126C3xC6xC7:C3378,52

Semidirect products G=N:Q with N=C3xC7:C3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3xC7:C3):C6 = D7:He3φ: C6/C1C6 ⊆ Out C3xC7:C3636(C3xC7:C3):C6378,12
(C3xC7:C3):2C6 = C2xC7:He3φ: C6/C2C3 ⊆ Out C3xC7:C31263(C3xC7:C3):2C6378,28
(C3xC7:C3):3C6 = C3xC3:F7φ: C6/C3C2 ⊆ Out C3xC7:C3426(C3xC7:C3):3C6378,49
(C3xC7:C3):4C6 = C32xF7φ: C6/C3C2 ⊆ Out C3xC7:C363(C3xC7:C3):4C6378,47
(C3xC7:C3):5C6 = C3xS3xC7:C3φ: C6/C3C2 ⊆ Out C3xC7:C3426(C3xC7:C3):5C6378,48

Non-split extensions G=N.Q with N=C3xC7:C3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C3xC7:C3).1C6 = C9:3F7φ: C6/C1C6 ⊆ Out C3xC7:C3636(C3xC7:C3).1C6378,8
(C3xC7:C3).2C6 = C9:4F7φ: C6/C1C6 ⊆ Out C3xC7:C3636(C3xC7:C3).2C6378,9
(C3xC7:C3).3C6 = C2xC63:C3φ: C6/C2C3 ⊆ Out C3xC7:C31263(C3xC7:C3).3C6378,24
(C3xC7:C3).4C6 = C2xC63:3C3φ: C6/C2C3 ⊆ Out C3xC7:C31263(C3xC7:C3).4C6378,25
(C3xC7:C3).5C6 = C9xF7φ: C6/C3C2 ⊆ Out C3xC7:C3636(C3xC7:C3).5C6378,7
(C3xC7:C3).6C6 = C18xC7:C3φ: trivial image1263(C3xC7:C3).6C6378,23

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