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Extensions 1→N→G→Q→1 with N=C21 and Q=C2×C6

Direct product G=N×Q with N=C21 and Q=C2×C6
dρLabelID
C6×C42252C6xC42252,46

Semidirect products G=N:Q with N=C21 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C21⋊(C2×C6) = S3×F7φ: C2×C6/C1 → C2×C6 ⊆ Aut C212112+C21:(C2xC6)252,26
C21⋊2(C2×C6) = C2×C3⋊F7φ: C2×C6/C2 → C6 ⊆ Aut C21426+C21:2(C2xC6)252,30
C21⋊3(C2×C6) = C6×F7φ: C2×C6/C2 → C6 ⊆ Aut C21426C21:3(C2xC6)252,28
C21⋊4(C2×C6) = C2×S3×C7⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C21426C21:4(C2xC6)252,29
C21⋊5(C2×C6) = C3×S3×D7φ: C2×C6/C3 → C22 ⊆ Aut C21424C21:5(C2xC6)252,33
C21⋊6(C2×C6) = C2×C6×C7⋊C3φ: C2×C6/C22 → C3 ⊆ Aut C2184C21:6(C2xC6)252,38
C21⋊7(C2×C6) = C6×D21φ: C2×C6/C6 → C2 ⊆ Aut C21842C21:7(C2xC6)252,43
C21⋊8(C2×C6) = D7×C3×C6φ: C2×C6/C6 → C2 ⊆ Aut C21126C21:8(C2xC6)252,41
C21⋊9(C2×C6) = S3×C42φ: C2×C6/C6 → C2 ⊆ Aut C21842C21:9(C2xC6)252,42

Non-split extensions G=N.Q with N=C21 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C21.(C2×C6) = C2×C7⋊C18φ: C2×C6/C2 → C6 ⊆ Aut C211266C21.(C2xC6)252,7
C21.2(C2×C6) = C22×C7⋊C9φ: C2×C6/C22 → C3 ⊆ Aut C21252C21.2(C2xC6)252,9
C21.3(C2×C6) = D7×C18φ: C2×C6/C6 → C2 ⊆ Aut C211262C21.3(C2xC6)252,12

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