# Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C5×Q8

Direct product G=N×Q with N=C2×C6 and Q=C5×Q8
dρLabelID
Q8×C2×C30480Q8xC2xC30480,1182

Semidirect products G=N:Q with N=C2×C6 and Q=C5×Q8
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊(C5×Q8) = C5×Dic3.D4φ: C5×Q8/C10C22 ⊆ Aut C2×C6240(C2xC6):(C5xQ8)480,757
(C2×C6)⋊2(C5×Q8) = C15×C22⋊Q8φ: C5×Q8/C20C2 ⊆ Aut C2×C6240(C2xC6):2(C5xQ8)480,927
(C2×C6)⋊3(C5×Q8) = C5×C12.48D4φ: C5×Q8/C20C2 ⊆ Aut C2×C6240(C2xC6):3(C5xQ8)480,803
(C2×C6)⋊4(C5×Q8) = C2×C10×Dic6φ: C5×Q8/C20C2 ⊆ Aut C2×C6480(C2xC6):4(C5xQ8)480,1150

Non-split extensions G=N.Q with N=C2×C6 and Q=C5×Q8
extensionφ:Q→Aut NdρLabelID
(C2×C6).(C5×Q8) = C5×C12.53D4φ: C5×Q8/C10C22 ⊆ Aut C2×C62404(C2xC6).(C5xQ8)480,141
(C2×C6).2(C5×Q8) = C15×C8.C4φ: C5×Q8/C20C2 ⊆ Aut C2×C62402(C2xC6).2(C5xQ8)480,211
(C2×C6).3(C5×Q8) = C5×C24.C4φ: C5×Q8/C20C2 ⊆ Aut C2×C62402(C2xC6).3(C5xQ8)480,138
(C2×C6).4(C5×Q8) = C5×C6.C42φ: C5×Q8/C20C2 ⊆ Aut C2×C6480(C2xC6).4(C5xQ8)480,150
(C2×C6).5(C5×Q8) = C10×Dic3⋊C4φ: C5×Q8/C20C2 ⊆ Aut C2×C6480(C2xC6).5(C5xQ8)480,802
(C2×C6).6(C5×Q8) = C10×C4⋊Dic3φ: C5×Q8/C20C2 ⊆ Aut C2×C6480(C2xC6).6(C5xQ8)480,804
(C2×C6).7(C5×Q8) = C15×C2.C42central extension (φ=1)480(C2xC6).7(C5xQ8)480,198
(C2×C6).8(C5×Q8) = C4⋊C4×C30central extension (φ=1)480(C2xC6).8(C5xQ8)480,921

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