Extensions 1→N→G→Q→1 with N=Q8×C2×C10 and Q=C3

Direct product G=N×Q with N=Q8×C2×C10 and Q=C3
dρLabelID
Q8×C2×C30480Q8xC2xC30480,1182

Semidirect products G=N:Q with N=Q8×C2×C10 and Q=C3
extensionφ:Q→Out NdρLabelID
(Q8×C2×C10)⋊1C3 = C2×C10×SL2(𝔽3)φ: C3/C1C3 ⊆ Out Q8×C2×C10160(Q8xC2xC10):1C3480,1128
(Q8×C2×C10)⋊2C3 = C5×Q8×A4φ: C3/C1C3 ⊆ Out Q8×C2×C101206(Q8xC2xC10):2C3480,1129
(Q8×C2×C10)⋊3C3 = C5×Q8⋊A4φ: C3/C1C3 ⊆ Out Q8×C2×C101206(Q8xC2xC10):3C3480,1133


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