Extensions 1→N→G→Q→1 with N=C4.S4 and Q=C2

Direct product G=N×Q with N=C4.S4 and Q=C2
dρLabelID
C2×C4.S464C2xC4.S4192,1479

Semidirect products G=N:Q with N=C4.S4 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.S41C2 = C8.4S4φ: C2/C1C2 ⊆ Out C4.S4324C4.S4:1C2192,965
C4.S42C2 = Q8.4S4φ: C2/C1C2 ⊆ Out C4.S4484C4.S4:2C2192,987
C4.S43C2 = D4.S4φ: C2/C1C2 ⊆ Out C4.S4324-C4.S4:3C2192,989
C4.S44C2 = Q8.6S4φ: C2/C1C2 ⊆ Out C4.S4324C4.S4:4C2192,1483
C4.S45C2 = D4.5S4φ: C2/C1C2 ⊆ Out C4.S4324-C4.S4:5C2192,1486
C4.S46C2 = GL2(𝔽3)⋊C22φ: trivial image324C4.S4:6C2192,1482

Non-split extensions G=N.Q with N=C4.S4 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.S4.C2 = C8.S4φ: C2/C1C2 ⊆ Out C4.S4644-C4.S4.C2192,962

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