Extensions 1→N→G→Q→1 with N=SD16 and Q=C23

Direct product G=N×Q with N=SD16 and Q=C23
dρLabelID
C23×SD1664C2^3xSD16128,2307

Semidirect products G=N:Q with N=SD16 and Q=C23
extensionφ:Q→Out NdρLabelID
SD161C23 = C22×C8⋊C22φ: C23/C22C2 ⊆ Out SD1632SD16:1C2^3128,2310
SD162C23 = C22×C8.C22φ: C23/C22C2 ⊆ Out SD1664SD16:2C2^3128,2311
SD163C23 = C2×D8⋊C22φ: C23/C22C2 ⊆ Out SD1632SD16:3C2^3128,2312
SD164C23 = C2×D4○D8φ: C23/C22C2 ⊆ Out SD1632SD16:4C2^3128,2313
SD165C23 = D8⋊C23φ: C23/C22C2 ⊆ Out SD16168+SD16:5C2^3128,2317
SD166C23 = C22×C4○D8φ: trivial image64SD16:6C2^3128,2309
SD167C23 = C2×D4○SD16φ: trivial image32SD16:7C2^3128,2314

Non-split extensions G=N.Q with N=SD16 and Q=C23
extensionφ:Q→Out NdρLabelID
SD16.1C23 = C2×Q8○D8φ: C23/C22C2 ⊆ Out SD1664SD16.1C2^3128,2315
SD16.2C23 = C4.C25φ: C23/C22C2 ⊆ Out SD16328-SD16.2C2^3128,2318
SD16.3C23 = C8.C24φ: trivial image324SD16.3C2^3128,2316

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