Extensions 1→N→G→Q→1 with N=C14 and Q=C3×C6

Direct product G=N×Q with N=C14 and Q=C3×C6
dρLabelID
C6×C42252C6xC42252,46

Semidirect products G=N:Q with N=C14 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
C14⋊(C3×C6) = C6×F7φ: C3×C6/C3 → C6 ⊆ Aut C14426C14:(C3xC6)252,28
C14⋊2(C3×C6) = C2×C6×C7⋊C3φ: C3×C6/C6 → C3 ⊆ Aut C1484C14:2(C3xC6)252,38
C14⋊3(C3×C6) = D7×C3×C6φ: C3×C6/C32 → C2 ⊆ Aut C14126C14:3(C3xC6)252,41

Non-split extensions G=N.Q with N=C14 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
C14.(C3×C6) = C3×C7⋊C12φ: C3×C6/C3 → C6 ⊆ Aut C14846C14.(C3xC6)252,16
C14.2(C3×C6) = C12×C7⋊C3φ: C3×C6/C6 → C3 ⊆ Aut C14843C14.2(C3xC6)252,19
C14.3(C3×C6) = C32×Dic7φ: C3×C6/C32 → C2 ⊆ Aut C14252C14.3(C3xC6)252,20

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