Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=C30

Direct product G=N×Q with N=C2×Q8 and Q=C30
dρLabelID
Q8×C2×C30480Q8xC2xC30480,1182

Semidirect products G=N:Q with N=C2×Q8 and Q=C30
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊C30 = C5×D4.A4φ: C30/C5C6 ⊆ Out C2×Q8804(C2xQ8):C30480,1132
(C2×Q8)⋊2C30 = C2×C10×SL2(𝔽3)φ: C30/C10C3 ⊆ Out C2×Q8160(C2xQ8):2C30480,1128
(C2×Q8)⋊3C30 = C15×C22⋊Q8φ: C30/C15C2 ⊆ Out C2×Q8240(C2xQ8):3C30480,927
(C2×Q8)⋊4C30 = C15×C4.4D4φ: C30/C15C2 ⊆ Out C2×Q8240(C2xQ8):4C30480,929
(C2×Q8)⋊5C30 = SD16×C30φ: C30/C15C2 ⊆ Out C2×Q8240(C2xQ8):5C30480,938
(C2×Q8)⋊6C30 = C15×C8.C22φ: C30/C15C2 ⊆ Out C2×Q82404(C2xQ8):6C30480,942
(C2×Q8)⋊7C30 = C15×2- 1+4φ: C30/C15C2 ⊆ Out C2×Q82404(C2xQ8):7C30480,1185
(C2×Q8)⋊8C30 = C4○D4×C30φ: trivial image240(C2xQ8):8C30480,1183

Non-split extensions G=N.Q with N=C2×Q8 and Q=C30
extensionφ:Q→Out NdρLabelID
(C2×Q8).1C30 = C20×SL2(𝔽3)φ: C30/C10C3 ⊆ Out C2×Q8160(C2xQ8).1C30480,655
(C2×Q8).2C30 = C10×C4.A4φ: C30/C10C3 ⊆ Out C2×Q8160(C2xQ8).2C30480,1130
(C2×Q8).3C30 = C15×C4.10D4φ: C30/C15C2 ⊆ Out C2×Q82404(C2xQ8).3C30480,204
(C2×Q8).4C30 = C15×Q8⋊C4φ: C30/C15C2 ⊆ Out C2×Q8480(C2xQ8).4C30480,206
(C2×Q8).5C30 = C15×C4⋊Q8φ: C30/C15C2 ⊆ Out C2×Q8480(C2xQ8).5C30480,933
(C2×Q8).6C30 = Q16×C30φ: C30/C15C2 ⊆ Out C2×Q8480(C2xQ8).6C30480,939
(C2×Q8).7C30 = Q8×C60φ: trivial image480(C2xQ8).7C30480,924

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