Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C34

Direct product G=NxQ with N=C2xC4 and Q=C34
dρLabelID
C22xC68272C2^2xC68272,46

Semidirect products G=N:Q with N=C2xC4 and Q=C34
extensionφ:Q→Aut NdρLabelID
(C2xC4):1C34 = C22:C4xC17φ: C34/C17C2 ⊆ Aut C2xC4136(C2xC4):1C34272,21
(C2xC4):2C34 = D4xC34φ: C34/C17C2 ⊆ Aut C2xC4136(C2xC4):2C34272,47
(C2xC4):3C34 = C4oD4xC17φ: C34/C17C2 ⊆ Aut C2xC41362(C2xC4):3C34272,49

Non-split extensions G=N.Q with N=C2xC4 and Q=C34
extensionφ:Q→Aut NdρLabelID
(C2xC4).1C34 = C4:C4xC17φ: C34/C17C2 ⊆ Aut C2xC4272(C2xC4).1C34272,22
(C2xC4).2C34 = M4(2)xC17φ: C34/C17C2 ⊆ Aut C2xC41362(C2xC4).2C34272,24
(C2xC4).3C34 = Q8xC34φ: C34/C17C2 ⊆ Aut C2xC4272(C2xC4).3C34272,48

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