Extensions 1→N→G→Q→1 with N=Q8 and Q=C33⋊C2

Direct product G=N×Q with N=Q8 and Q=C33⋊C2
dρLabelID
Q8×C33⋊C2216Q8xC3^3:C2432,726

Semidirect products G=N:Q with N=Q8 and Q=C33⋊C2
extensionφ:Q→Out NdρLabelID
Q8⋊(C33⋊C2) = C325GL2(𝔽3)φ: C33⋊C2/C32S3 ⊆ Out Q872Q8:(C3^3:C2)432,620
Q82(C33⋊C2) = C3327SD16φ: C33⋊C2/C33C2 ⊆ Out Q8216Q8:2(C3^3:C2)432,509
Q83(C33⋊C2) = (Q8×C33)⋊C2φ: trivial image216Q8:3(C3^3:C2)432,727

Non-split extensions G=N.Q with N=Q8 and Q=C33⋊C2
extensionφ:Q→Out NdρLabelID
Q8.(C33⋊C2) = C324CSU2(𝔽3)φ: C33⋊C2/C32S3 ⊆ Out Q8144Q8.(C3^3:C2)432,619
Q8.2(C33⋊C2) = C3315Q16φ: C33⋊C2/C33C2 ⊆ Out Q8432Q8.2(C3^3:C2)432,510

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