Extensions 1→N→G→Q→1 with N=D10 and Q=C2×A4

Direct product G=N×Q with N=D10 and Q=C2×A4

Semidirect products G=N:Q with N=D10 and Q=C2×A4
extensionφ:Q→Out NdρLabelID
D101(C2×A4) = A4×D20φ: C2×A4/A4C2 ⊆ Out D10606+D10:1(C2xA4)480,1037
D102(C2×A4) = A4×C5⋊D4φ: C2×A4/A4C2 ⊆ Out D10606D10:2(C2xA4)480,1045

Non-split extensions G=N.Q with N=D10 and Q=C2×A4
extensionφ:Q→Out NdρLabelID
D10.1(C2×A4) = SL2(𝔽3).11D10φ: C2×A4/A4C2 ⊆ Out D10804D10.1(C2xA4)480,1040
D10.2(C2×A4) = D20.A4φ: C2×A4/A4C2 ⊆ Out D10804-D10.2(C2xA4)480,1043
D10.3(C2×A4) = F5×SL2(𝔽3)φ: C2×A4/A4C2 ⊆ Out D10408-D10.3(C2xA4)480,965
D10.4(C2×A4) = C2×A4×F5φ: C2×A4/A4C2 ⊆ Out D103012+D10.4(C2xA4)480,1192
D10.5(C2×A4) = C4×D5×A4φ: trivial image606D10.5(C2xA4)480,1036
D10.6(C2×A4) = C2×D5×SL2(𝔽3)φ: trivial image80D10.6(C2xA4)480,1039
D10.7(C2×A4) = D5×C4.A4φ: trivial image804D10.7(C2xA4)480,1042