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

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

Semidirect products G=N:Q with N=C6 and Q=Q8×C10
extensionφ:Q→Aut NdρLabelID
C6⋊1(Q8×C10) = C2×C10×Dic6φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6480C6:1(Q8xC10)480,1150
C6⋊2(Q8×C10) = S3×Q8×C10φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6240C6:2(Q8xC10)480,1157

Non-split extensions G=N.Q with N=C6 and Q=Q8×C10
extensionφ:Q→Aut NdρLabelID
C6.1(Q8×C10) = C20×Dic6φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6480C6.1(Q8xC10)480,747
C6.2(Q8×C10) = C5×C12⋊2Q8φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6480C6.2(Q8xC10)480,748
C6.3(Q8×C10) = C5×C12.6Q8φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6480C6.3(Q8xC10)480,749
C6.4(Q8×C10) = C5×Dic3.D4φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6240C6.4(Q8xC10)480,757
C6.5(Q8×C10) = C5×C12⋊Q8φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6480C6.5(Q8xC10)480,767
C6.6(Q8×C10) = C5×C4.Dic6φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6480C6.6(Q8xC10)480,769
C6.7(Q8×C10) = C10×Dic3⋊C4φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6480C6.7(Q8xC10)480,802
C6.8(Q8×C10) = C5×C12.48D4φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6240C6.8(Q8xC10)480,803
C6.9(Q8×C10) = C10×C4⋊Dic3φ: Q8×C10/C2×C20 → C2 ⊆ Aut C6480C6.9(Q8xC10)480,804
C6.10(Q8×C10) = C5×Dic6⋊C4φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6480C6.10(Q8xC10)480,766
C6.11(Q8×C10) = C5×Dic3.Q8φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6480C6.11(Q8xC10)480,768
C6.12(Q8×C10) = C5×S3×C4⋊C4φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6240C6.12(Q8xC10)480,770
C6.13(Q8×C10) = C5×D6⋊Q8φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6240C6.13(Q8xC10)480,775
C6.14(Q8×C10) = C5×C4.D12φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6240C6.14(Q8xC10)480,776
C6.15(Q8×C10) = C5×Dic3⋊Q8φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6480C6.15(Q8xC10)480,823
C6.16(Q8×C10) = C5×Q8×Dic3φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6480C6.16(Q8xC10)480,824
C6.17(Q8×C10) = C5×D6⋊3Q8φ: Q8×C10/C5×Q8 → C2 ⊆ Aut C6240C6.17(Q8xC10)480,825
C6.18(Q8×C10) = C4⋊C4×C30central extension (φ=1)480C6.18(Q8xC10)480,921
C6.19(Q8×C10) = Q8×C60central extension (φ=1)480C6.19(Q8xC10)480,924
C6.20(Q8×C10) = C15×C22⋊Q8central extension (φ=1)240C6.20(Q8xC10)480,927
C6.21(Q8×C10) = C15×C42.C2central extension (φ=1)480C6.21(Q8xC10)480,930
C6.22(Q8×C10) = C15×C4⋊Q8central extension (φ=1)480C6.22(Q8xC10)480,933

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