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Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=C3×D5

Direct product G=N×Q with N=C2×Q8 and Q=C3×D5
dρLabelID
C6×Q8×D5240C6xQ8xD5480,1142

Semidirect products G=N:Q with N=C2×Q8 and Q=C3×D5
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊(C3×D5) = SL2(𝔽3).11D10φ: C3×D5/C5 → C6 ⊆ Out C2×Q8804(C2xQ8):(C3xD5)480,1040
(C2×Q8)⋊2(C3×D5) = C2×D5×SL2(𝔽3)φ: C3×D5/D5 → C3 ⊆ Out C2×Q880(C2xQ8):2(C3xD5)480,1039
(C2×Q8)⋊3(C3×D5) = C6×Q8⋊D5φ: C3×D5/C15 → C2 ⊆ Out C2×Q8240(C2xQ8):3(C3xD5)480,734
(C2×Q8)⋊4(C3×D5) = C3×C20.C23φ: C3×D5/C15 → C2 ⊆ Out C2×Q82404(C2xQ8):4(C3xD5)480,735
(C2×Q8)⋊5(C3×D5) = C3×D10⋊3Q8φ: C3×D5/C15 → C2 ⊆ Out C2×Q8240(C2xQ8):5(C3xD5)480,739
(C2×Q8)⋊6(C3×D5) = C3×C20.23D4φ: C3×D5/C15 → C2 ⊆ Out C2×Q8240(C2xQ8):6(C3xD5)480,740
(C2×Q8)⋊7(C3×D5) = C3×Q8.10D10φ: C3×D5/C15 → C2 ⊆ Out C2×Q82404(C2xQ8):7(C3xD5)480,1144
(C2×Q8)⋊8(C3×D5) = C6×Q8⋊2D5φ: trivial image240(C2xQ8):8(C3xD5)480,1143

Non-split extensions G=N.Q with N=C2×Q8 and Q=C3×D5
extensionφ:Q→Out NdρLabelID
(C2×Q8).1(C3×D5) = Dic5×SL2(𝔽3)φ: C3×D5/D5 → C3 ⊆ Out C2×Q8160(C2xQ8).1(C3xD5)480,266
(C2×Q8).2(C3×D5) = C2×Dic5.A4φ: C3×D5/D5 → C3 ⊆ Out C2×Q8160(C2xQ8).2(C3xD5)480,1038
(C2×Q8).3(C3×D5) = C3×Q8⋊Dic5φ: C3×D5/C15 → C2 ⊆ Out C2×Q8480(C2xQ8).3(C3xD5)480,113
(C2×Q8).4(C3×D5) = C3×C20.10D4φ: C3×D5/C15 → C2 ⊆ Out C2×Q82404(C2xQ8).4(C3xD5)480,114
(C2×Q8).5(C3×D5) = C6×C5⋊Q16φ: C3×D5/C15 → C2 ⊆ Out C2×Q8480(C2xQ8).5(C3xD5)480,736
(C2×Q8).6(C3×D5) = C3×Dic5⋊Q8φ: C3×D5/C15 → C2 ⊆ Out C2×Q8480(C2xQ8).6(C3xD5)480,737
(C2×Q8).7(C3×D5) = C3×Q8×Dic5φ: trivial image480(C2xQ8).7(C3xD5)480,738

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