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Extensions 1→N→G→Q→1 with N=C5×C4.A4 and Q=C2

Direct product G=N×Q with N=C5×C4.A4 and Q=C2
dρLabelID
C10×C4.A4160C10xC4.A4480,1130

Semidirect products G=N:Q with N=C5×C4.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.A4)⋊1C2 = C20.3S4φ: C2/C1 → C2 ⊆ Out C5×C4.A4804+(C5xC4.A4):1C2480,1032
(C5×C4.A4)⋊2C2 = C20.6S4φ: C2/C1 → C2 ⊆ Out C5×C4.A4804(C5xC4.A4):2C2480,1031
(C5×C4.A4)⋊3C2 = Dic10.A4φ: C2/C1 → C2 ⊆ Out C5×C4.A41204+(C5xC4.A4):3C2480,1041
(C5×C4.A4)⋊4C2 = D20.A4φ: C2/C1 → C2 ⊆ Out C5×C4.A4804-(C5xC4.A4):4C2480,1043
(C5×C4.A4)⋊5C2 = C5×C4.3S4φ: C2/C1 → C2 ⊆ Out C5×C4.A4804(C5xC4.A4):5C2480,1021
(C5×C4.A4)⋊6C2 = D5×C4.A4φ: C2/C1 → C2 ⊆ Out C5×C4.A4804(C5xC4.A4):6C2480,1042
(C5×C4.A4)⋊7C2 = C5×C4.6S4φ: C2/C1 → C2 ⊆ Out C5×C4.A4802(C5xC4.A4):7C2480,1020
(C5×C4.A4)⋊8C2 = C5×Q8.A4φ: C2/C1 → C2 ⊆ Out C5×C4.A41204(C5xC4.A4):8C2480,1131
(C5×C4.A4)⋊9C2 = C5×D4.A4φ: C2/C1 → C2 ⊆ Out C5×C4.A4804(C5xC4.A4):9C2480,1132

Non-split extensions G=N.Q with N=C5×C4.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.A4).1C2 = C20.2S4φ: C2/C1 → C2 ⊆ Out C5×C4.A41604-(C5xC4.A4).1C2480,1030
(C5×C4.A4).2C2 = C5⋊2U2(𝔽3)φ: C2/C1 → C2 ⊆ Out C5×C4.A41204(C5xC4.A4).2C2480,261
(C5×C4.A4).3C2 = C5×C4.S4φ: C2/C1 → C2 ⊆ Out C5×C4.A41604(C5xC4.A4).3C2480,1019
(C5×C4.A4).4C2 = SL2(𝔽3).Dic5φ: C2/C1 → C2 ⊆ Out C5×C4.A41604(C5xC4.A4).4C2480,267
(C5×C4.A4).5C2 = C5×U2(𝔽3)φ: C2/C1 → C2 ⊆ Out C5×C4.A41202(C5xC4.A4).5C2480,257
(C5×C4.A4).6C2 = C5×C8.A4φ: trivial image1602(C5xC4.A4).6C2480,660

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