Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=C6

Direct product G=N×Q with N=C2×C7⋊C3 and Q=C6
dρLabelID
C2×C6×C7⋊C384C2xC6xC7:C3252,38

Semidirect products G=N:Q with N=C2×C7⋊C3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3)⋊C6 = C6×F7φ: C6/C3C2 ⊆ Out C2×C7⋊C3426(C2xC7:C3):C6252,28

Non-split extensions G=N.Q with N=C2×C7⋊C3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3).C6 = C3×C7⋊C12φ: C6/C3C2 ⊆ Out C2×C7⋊C3846(C2xC7:C3).C6252,16
(C2×C7⋊C3).2C6 = C12×C7⋊C3φ: trivial image843(C2xC7:C3).2C6252,19

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