Extensions 1→N→G→Q→1 with N=Dic5 and Q=S4

Direct product G=N×Q with N=Dic5 and Q=S4

Semidirect products G=N:Q with N=Dic5 and Q=S4
extensionφ:Q→Out NdρLabelID
Dic5⋊S4 = Dic5⋊S4φ: S4/A4C2 ⊆ Out Dic5606Dic5:S4480,978
Dic52S4 = Dic52S4φ: trivial image606Dic5:2S4480,977

Non-split extensions G=N.Q with N=Dic5 and Q=S4
extensionφ:Q→Out NdρLabelID
Dic5.1S4 = CSU2(𝔽3)⋊D5φ: S4/A4C2 ⊆ Out Dic51604Dic5.1S4480,967
Dic5.2S4 = GL2(𝔽3)⋊D5φ: S4/A4C2 ⊆ Out Dic5804+Dic5.2S4480,970
Dic5.3S4 = A4⋊Dic10φ: S4/A4C2 ⊆ Out Dic51206-Dic5.3S4480,975
Dic5.4S4 = C5⋊U2(𝔽3)φ: S4/A4C2 ⊆ Out Dic51208+Dic5.4S4480,961
Dic5.5S4 = Dic5.S4φ: S4/A4C2 ⊆ Out Dic512012-Dic5.5S4480,963
Dic5.6S4 = Dic5.6S4φ: trivial image804Dic5.6S4480,968
Dic5.7S4 = Dic5.7S4φ: trivial image804+Dic5.7S4480,969