Extensions 1→N→G→Q→1 with N=C4 and Q=C22xC7:C3

Direct product G=NxQ with N=C4 and Q=C22xC7:C3
dρLabelID
C22xC4xC7:C3112C2^2xC4xC7:C3336,164

Semidirect products G=N:Q with N=C4 and Q=C22xC7:C3
extensionφ:Q→Aut NdρLabelID
C4:(C22xC7:C3) = C2xD4xC7:C3φ: C22xC7:C3/C2xC7:C3C2 ⊆ Aut C456C4:(C2^2xC7:C3)336,165

Non-split extensions G=N.Q with N=C4 and Q=C22xC7:C3
extensionφ:Q→Aut NdρLabelID
C4.1(C22xC7:C3) = D8xC7:C3φ: C22xC7:C3/C2xC7:C3C2 ⊆ Aut C4566C4.1(C2^2xC7:C3)336,53
C4.2(C22xC7:C3) = SD16xC7:C3φ: C22xC7:C3/C2xC7:C3C2 ⊆ Aut C4566C4.2(C2^2xC7:C3)336,54
C4.3(C22xC7:C3) = Q16xC7:C3φ: C22xC7:C3/C2xC7:C3C2 ⊆ Aut C41126C4.3(C2^2xC7:C3)336,55
C4.4(C22xC7:C3) = C2xQ8xC7:C3φ: C22xC7:C3/C2xC7:C3C2 ⊆ Aut C4112C4.4(C2^2xC7:C3)336,166
C4.5(C22xC7:C3) = C4oD4xC7:C3φ: C22xC7:C3/C2xC7:C3C2 ⊆ Aut C4566C4.5(C2^2xC7:C3)336,167
C4.6(C22xC7:C3) = C2xC8xC7:C3central extension (φ=1)112C4.6(C2^2xC7:C3)336,51
C4.7(C22xC7:C3) = M4(2)xC7:C3central extension (φ=1)566C4.7(C2^2xC7:C3)336,52

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