Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C46

Direct product G=NxQ with N=C2xC4 and Q=C46
dρLabelID
C22xC92368C2^2xC92368,37

Semidirect products G=N:Q with N=C2xC4 and Q=C46
extensionφ:Q→Aut NdρLabelID
(C2xC4):1C46 = C22:C4xC23φ: C46/C23C2 ⊆ Aut C2xC4184(C2xC4):1C46368,20
(C2xC4):2C46 = D4xC46φ: C46/C23C2 ⊆ Aut C2xC4184(C2xC4):2C46368,38
(C2xC4):3C46 = C4oD4xC23φ: C46/C23C2 ⊆ Aut C2xC41842(C2xC4):3C46368,40

Non-split extensions G=N.Q with N=C2xC4 and Q=C46
extensionφ:Q→Aut NdρLabelID
(C2xC4).1C46 = C4:C4xC23φ: C46/C23C2 ⊆ Aut C2xC4368(C2xC4).1C46368,21
(C2xC4).2C46 = M4(2)xC23φ: C46/C23C2 ⊆ Aut C2xC41842(C2xC4).2C46368,23
(C2xC4).3C46 = Q8xC46φ: C46/C23C2 ⊆ Aut C2xC4368(C2xC4).3C46368,39

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