Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=A4

Direct product G=N×Q with N=C2×Q8 and Q=A4
dρLabelID
C2×Q8×A448C2xQ8xA4192,1499

Semidirect products G=N:Q with N=C2×Q8 and Q=A4
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1A4 = C24.7A4φ: A4/C1A4 ⊆ Out C2×Q816(C2xQ8):1A4192,1021
(C2×Q8)⋊2A4 = C245A4φ: A4/C1A4 ⊆ Out C2×Q816(C2xQ8):2A4192,1024
(C2×Q8)⋊3A4 = C2×Q8⋊A4φ: A4/C22C3 ⊆ Out C2×Q848(C2xQ8):3A4192,1506
(C2×Q8)⋊4A4 = C2×C23⋊A4φ: A4/C22C3 ⊆ Out C2×Q816(C2xQ8):4A4192,1508

Non-split extensions G=N.Q with N=C2×Q8 and Q=A4
extensionφ:Q→Out NdρLabelID
(C2×Q8).A4 = Q8⋊SL2(𝔽3)φ: A4/C22C3 ⊆ Out C2×Q864(C2xQ8).A4192,1022
(C2×Q8).2A4 = Q8×SL2(𝔽3)φ: trivial image64(C2xQ8).2A4192,1007
(C2×Q8).3A4 = C2×Q8.A4φ: trivial image48(C2xQ8).3A4192,1502

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