Extensions 1→N→G→Q→1 with N=Q8 and Q=C3×C6

Direct product G=N×Q with N=Q8 and Q=C3×C6
dρLabelID
Q8×C3×C6144Q8xC3xC6144,180

Semidirect products G=N:Q with N=Q8 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
Q8⋊(C3×C6) = C6×SL2(𝔽3)φ: C3×C6/C6C3 ⊆ Out Q848Q8:(C3xC6)144,156
Q82(C3×C6) = C32×SD16φ: C3×C6/C32C2 ⊆ Out Q872Q8:2(C3xC6)144,107
Q83(C3×C6) = C32×C4○D4φ: trivial image72Q8:3(C3xC6)144,181

Non-split extensions G=N.Q with N=Q8 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
Q8.(C3×C6) = C3×C4.A4φ: C3×C6/C6C3 ⊆ Out Q8482Q8.(C3xC6)144,157
Q8.2(C3×C6) = C32×Q16φ: C3×C6/C32C2 ⊆ Out Q8144Q8.2(C3xC6)144,108

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