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

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

Semidirect products G=N:Q with N=Dic5 and Q=C2×A4
extensionφ:Q→Out NdρLabelID
Dic5⋊(C2×A4) = A4×C5⋊D4φ: C2×A4/A4C2 ⊆ Out Dic5606Dic5:(C2xA4)480,1045
Dic52(C2×A4) = C4×D5×A4φ: trivial image606Dic5:2(C2xA4)480,1036

Non-split extensions G=N.Q with N=Dic5 and Q=C2×A4
extensionφ:Q→Out NdρLabelID
Dic5.1(C2×A4) = A4×Dic10φ: C2×A4/A4C2 ⊆ Out Dic51206-Dic5.1(C2xA4)480,1035
Dic5.2(C2×A4) = SL2(𝔽3).11D10φ: C2×A4/A4C2 ⊆ Out Dic5804Dic5.2(C2xA4)480,1040
Dic5.3(C2×A4) = Dic10.A4φ: C2×A4/A4C2 ⊆ Out Dic51204+Dic5.3(C2xA4)480,1041
Dic5.4(C2×A4) = SL2(𝔽3).F5φ: C2×A4/A4C2 ⊆ Out Dic51608+Dic5.4(C2xA4)480,964
Dic5.5(C2×A4) = A4×C5⋊C8φ: C2×A4/A4C2 ⊆ Out Dic512012-Dic5.5(C2xA4)480,966
Dic5.6(C2×A4) = C2×Dic5.A4φ: trivial image160Dic5.6(C2xA4)480,1038
Dic5.7(C2×A4) = D5×C4.A4φ: trivial image804Dic5.7(C2xA4)480,1042