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Extensions 1→N→G→Q→1 with N=C10 and Q=C6×Q8

Direct product G=N×Q with N=C10 and Q=C6×Q8
dρLabelID
Q8×C2×C30480Q8xC2xC30480,1182

Semidirect products G=N:Q with N=C10 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C10⋊1(C6×Q8) = C2×C6×Dic10φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10480C10:1(C6xQ8)480,1135
C10⋊2(C6×Q8) = C6×Q8×D5φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10240C10:2(C6xQ8)480,1142

Non-split extensions G=N.Q with N=C10 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C10.1(C6×Q8) = C12×Dic10φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10480C10.1(C6xQ8)480,661
C10.2(C6×Q8) = C3×C20⋊2Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10480C10.2(C6xQ8)480,662
C10.3(C6×Q8) = C3×C20.6Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10480C10.3(C6xQ8)480,663
C10.4(C6×Q8) = C3×Dic5.14D4φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10240C10.4(C6xQ8)480,671
C10.5(C6×Q8) = C3×C4.Dic10φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10480C10.5(C6xQ8)480,683
C10.6(C6×Q8) = C6×C10.D4φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10480C10.6(C6xQ8)480,716
C10.7(C6×Q8) = C3×C20.48D4φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10240C10.7(C6xQ8)480,717
C10.8(C6×Q8) = C6×C4⋊Dic5φ: C6×Q8/C2×C12 → C2 ⊆ Aut C10480C10.8(C6xQ8)480,718
C10.9(C6×Q8) = C3×Dic5⋊3Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.9(C6xQ8)480,680
C10.10(C6×Q8) = C3×C20⋊Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.10(C6xQ8)480,681
C10.11(C6×Q8) = C3×Dic5.Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.11(C6xQ8)480,682
C10.12(C6×Q8) = C3×D5×C4⋊C4φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10240C10.12(C6xQ8)480,684
C10.13(C6×Q8) = C3×D10⋊Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10240C10.13(C6xQ8)480,689
C10.14(C6×Q8) = C3×D10⋊2Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10240C10.14(C6xQ8)480,690
C10.15(C6×Q8) = C3×Dic5⋊Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.15(C6xQ8)480,737
C10.16(C6×Q8) = C3×Q8×Dic5φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10480C10.16(C6xQ8)480,738
C10.17(C6×Q8) = C3×D10⋊3Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C10240C10.17(C6xQ8)480,739
C10.18(C6×Q8) = C4⋊C4×C30central extension (φ=1)480C10.18(C6xQ8)480,921
C10.19(C6×Q8) = Q8×C60central extension (φ=1)480C10.19(C6xQ8)480,924
C10.20(C6×Q8) = C15×C22⋊Q8central extension (φ=1)240C10.20(C6xQ8)480,927
C10.21(C6×Q8) = C15×C42.C2central extension (φ=1)480C10.21(C6xQ8)480,930
C10.22(C6×Q8) = C15×C4⋊Q8central extension (φ=1)480C10.22(C6xQ8)480,933

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