Extensions 1→N→G→Q→1 with N=Dic5.A4 and Q=C2

Direct product G=N×Q with N=Dic5.A4 and Q=C2

Semidirect products G=N:Q with N=Dic5.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.A41C2 = Dic5.6S4φ: C2/C1C2 ⊆ Out Dic5.A4804Dic5.A4:1C2480,968
Dic5.A42C2 = Dic5.7S4φ: C2/C1C2 ⊆ Out Dic5.A4804+Dic5.A4:2C2480,969
Dic5.A43C2 = GL2(𝔽3)⋊D5φ: C2/C1C2 ⊆ Out Dic5.A4804+Dic5.A4:3C2480,970
Dic5.A44C2 = SL2(𝔽3).11D10φ: C2/C1C2 ⊆ Out Dic5.A4804Dic5.A4:4C2480,1040
Dic5.A45C2 = Dic10.A4φ: C2/C1C2 ⊆ Out Dic5.A41204+Dic5.A4:5C2480,1041
Dic5.A46C2 = D5×C4.A4φ: trivial image804Dic5.A4:6C2480,1042

Non-split extensions G=N.Q with N=Dic5.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.A4.1C2 = CSU2(𝔽3)⋊D5φ: C2/C1C2 ⊆ Out Dic5.A41604Dic5.A4.1C2480,967
Dic5.A4.2C2 = C5⋊U2(𝔽3)φ: C2/C1C2 ⊆ Out Dic5.A41208+Dic5.A4.2C2480,961
Dic5.A4.3C2 = SL2(𝔽3).F5φ: C2/C1C2 ⊆ Out Dic5.A41608+Dic5.A4.3C2480,964