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Extensions 1→N→G→Q→1 with N=C10 and Q=C4×C12

Direct product G=N×Q with N=C10 and Q=C4×C12
dρLabelID
C2×C4×C60480C2xC4xC60480,919

Semidirect products G=N:Q with N=C10 and Q=C4×C12
extensionφ:Q→Aut NdρLabelID
C10⋊(C4×C12) = F5×C2×C12φ: C4×C12/C12 → C4 ⊆ Aut C10120C10:(C4xC12)480,1050
C10⋊2(C4×C12) = Dic5×C2×C12φ: C4×C12/C2×C12 → C2 ⊆ Aut C10480C10:2(C4xC12)480,715

Non-split extensions G=N.Q with N=C10 and Q=C4×C12
extensionφ:Q→Aut NdρLabelID
C10.1(C4×C12) = F5×C24φ: C4×C12/C12 → C4 ⊆ Aut C101204C10.1(C4xC12)480,271
C10.2(C4×C12) = C3×C8⋊F5φ: C4×C12/C12 → C4 ⊆ Aut C101204C10.2(C4xC12)480,272
C10.3(C4×C12) = C12×C5⋊C8φ: C4×C12/C12 → C4 ⊆ Aut C10480C10.3(C4xC12)480,280
C10.4(C4×C12) = C3×C10.C42φ: C4×C12/C12 → C4 ⊆ Aut C10480C10.4(C4xC12)480,282
C10.5(C4×C12) = C3×D10.3Q8φ: C4×C12/C12 → C4 ⊆ Aut C10120C10.5(C4xC12)480,286
C10.6(C4×C12) = C12×C5⋊2C8φ: C4×C12/C2×C12 → C2 ⊆ Aut C10480C10.6(C4xC12)480,80
C10.7(C4×C12) = C3×C42.D5φ: C4×C12/C2×C12 → C2 ⊆ Aut C10480C10.7(C4xC12)480,81
C10.8(C4×C12) = Dic5×C24φ: C4×C12/C2×C12 → C2 ⊆ Aut C10480C10.8(C4xC12)480,91
C10.9(C4×C12) = C3×C40⋊8C4φ: C4×C12/C2×C12 → C2 ⊆ Aut C10480C10.9(C4xC12)480,93
C10.10(C4×C12) = C3×C10.10C42φ: C4×C12/C2×C12 → C2 ⊆ Aut C10480C10.10(C4xC12)480,109
C10.11(C4×C12) = C15×C2.C42central extension (φ=1)480C10.11(C4xC12)480,198
C10.12(C4×C12) = C15×C8⋊C4central extension (φ=1)480C10.12(C4xC12)480,200

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