Extensions 1→N→G→Q→1 with N=C4xD23 and Q=C2

Direct product G=NxQ with N=C4xD23 and Q=C2
dρLabelID
C2xC4xD23184C2xC4xD23368,28

Semidirect products G=N:Q with N=C4xD23 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xD23):1C2 = D4xD23φ: C2/C1C2 ⊆ Out C4xD23924+(C4xD23):1C2368,31
(C4xD23):2C2 = D4:2D23φ: C2/C1C2 ⊆ Out C4xD231844-(C4xD23):2C2368,32
(C4xD23):3C2 = D92:C2φ: C2/C1C2 ⊆ Out C4xD231844+(C4xD23):3C2368,34
(C4xD23):4C2 = D92:5C2φ: C2/C1C2 ⊆ Out C4xD231842(C4xD23):4C2368,30

Non-split extensions G=N.Q with N=C4xD23 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4xD23).1C2 = Q8xD23φ: C2/C1C2 ⊆ Out C4xD231844-(C4xD23).1C2368,33
(C4xD23).2C2 = C8:D23φ: C2/C1C2 ⊆ Out C4xD231842(C4xD23).2C2368,4
(C4xD23).3C2 = C8xD23φ: trivial image1842(C4xD23).3C2368,3

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