Extensions 1→N→G→Q→1 with N=D10 and Q=S4

Direct product G=N×Q with N=D10 and Q=S4

Semidirect products G=N:Q with N=D10 and Q=S4
extensionφ:Q→Out NdρLabelID
D101S4 = D10⋊S4φ: S4/A4C2 ⊆ Out D10606D10:1S4480,980
D102S4 = A4⋊D20φ: S4/A4C2 ⊆ Out D10606+D10:2S4480,981

Non-split extensions G=N.Q with N=D10 and Q=S4
extensionφ:Q→Out NdρLabelID
D10.1S4 = D10.1S4φ: S4/A4C2 ⊆ Out D10804-D10.1S4480,972
D10.2S4 = D10.2S4φ: S4/A4C2 ⊆ Out D10804D10.2S4480,973
D10.3S4 = D10.S4φ: S4/A4C2 ⊆ Out D10408-D10.3S4480,962
D10.4S4 = C2×A4⋊F5φ: S4/A4C2 ⊆ Out D103012+D10.4S4480,1191
D10.5S4 = D5×CSU2(𝔽3)φ: trivial image804-D10.5S4480,971
D10.6S4 = D5×GL2(𝔽3)φ: trivial image404D10.6S4480,974
D10.7S4 = D5×A4⋊C4φ: trivial image606D10.7S4480,979