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

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

Semidirect products G=N:Q with N=C6×C7⋊C3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C6×C7⋊C3)⋊C3 = C2×C7⋊He3φ: C3/C1C3 ⊆ Out C6×C7⋊C31263(C6xC7:C3):C3378,28

Non-split extensions G=N.Q with N=C6×C7⋊C3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C6×C7⋊C3).1C3 = C2×C63⋊C3φ: C3/C1C3 ⊆ Out C6×C7⋊C31263(C6xC7:C3).1C3378,24
(C6×C7⋊C3).2C3 = C2×C633C3φ: C3/C1C3 ⊆ Out C6×C7⋊C31263(C6xC7:C3).2C3378,25
(C6×C7⋊C3).3C3 = C18×C7⋊C3φ: trivial image1263(C6xC7:C3).3C3378,23

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