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Extensions 1→N→G→Q→1 with N=C2×C3⋊Q16 and Q=C2

Direct product G=N×Q with N=C2×C3⋊Q16 and Q=C2
dρLabelID
C22×C3⋊Q16192C2^2xC3:Q16192,1368

Semidirect products G=N:Q with N=C2×C3⋊Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C3⋊Q16)⋊1C2 = D12.7D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16968-(C2xC3:Q16):1C2192,314
(C2×C3⋊Q16)⋊2C2 = Dic6.11D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):2C2192,357
(C2×C3⋊Q16)⋊3C2 = Q8.11D12φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):3C2192,367
(C2×C3⋊Q16)⋊4C2 = D6⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):4C2192,368
(C2×C3⋊Q16)⋊5C2 = D6⋊1Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):5C2192,372
(C2×C3⋊Q16)⋊6C2 = C3⋊C8.D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):6C2192,375
(C2×C3⋊Q16)⋊7C2 = Q8.6D12φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):7C2192,587
(C2×C3⋊Q16)⋊8C2 = D12.37D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):8C2192,606
(C2×C3⋊Q16)⋊9C2 = Dic6.37D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):9C2192,609
(C2×C3⋊Q16)⋊10C2 = C3⋊C8.29D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):10C2192,610
(C2×C3⋊Q16)⋊11C2 = C3⋊C8.6D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):11C2192,611
(C2×C3⋊Q16)⋊12C2 = C42.61D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):12C2192,613
(C2×C3⋊Q16)⋊13C2 = C42.214D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):13C2192,618
(C2×C3⋊Q16)⋊14C2 = C42.65D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):14C2192,619
(C2×C3⋊Q16)⋊15C2 = C42.80D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):15C2192,645
(C2×C3⋊Q16)⋊16C2 = (C3×Q8).D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):16C2192,725
(C2×C3⋊Q16)⋊17C2 = C24.31D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):17C2192,726
(C2×C3⋊Q16)⋊18C2 = C24.43D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):18C2192,727
(C2×C3⋊Q16)⋊19C2 = Dic6.16D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):19C2192,732
(C2×C3⋊Q16)⋊20C2 = D6⋊5Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):20C2192,745
(C2×C3⋊Q16)⋊21C2 = C24.37D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):21C2192,749
(C2×C3⋊Q16)⋊22C2 = M4(2).16D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16968-(C2xC3:Q16):22C2192,763
(C2×C3⋊Q16)⋊23C2 = (C2×C6)⋊8Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):23C2192,787
(C2×C3⋊Q16)⋊24C2 = (C3×D4).32D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):24C2192,798
(C2×C3⋊Q16)⋊25C2 = C2×D4.D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):25C2192,1319
(C2×C3⋊Q16)⋊26C2 = C2×Q8.7D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):26C2192,1320
(C2×C3⋊Q16)⋊27C2 = C2×S3×Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):27C2192,1322
(C2×C3⋊Q16)⋊28C2 = C2×Q16⋊S3φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):28C2192,1323
(C2×C3⋊Q16)⋊29C2 = SD16.D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16968-(C2xC3:Q16):29C2192,1338
(C2×C3⋊Q16)⋊30C2 = C2×Q8.11D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):30C2192,1367
(C2×C3⋊Q16)⋊31C2 = C2×Q8.14D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q1696(C2xC3:Q16):31C2192,1382
(C2×C3⋊Q16)⋊32C2 = D12.35C23φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16968-(C2xC3:Q16):32C2192,1397
(C2×C3⋊Q16)⋊33C2 = C2×Q8.13D6φ: trivial image96(C2xC3:Q16):33C2192,1380

Non-split extensions G=N.Q with N=C2×C3⋊Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C3⋊Q16).1C2 = C3⋊Q16⋊C4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).1C2192,348
(C2×C3⋊Q16).2C2 = Dic3⋊4Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).2C2192,349
(C2×C3⋊Q16).3C2 = Dic3⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).3C2192,354
(C2×C3⋊Q16).4C2 = C42.59D6φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).4C2192,589
(C2×C3⋊Q16).5C2 = C12⋊7Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).5C2192,590
(C2×C3⋊Q16).6C2 = C12⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).6C2192,649
(C2×C3⋊Q16).7C2 = C12⋊3Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).7C2192,651
(C2×C3⋊Q16).8C2 = Dic3⋊3Q16φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).8C2192,741
(C2×C3⋊Q16).9C2 = C24.26D4φ: C2/C1 → C2 ⊆ Out C2×C3⋊Q16192(C2xC3:Q16).9C2192,742
(C2×C3⋊Q16).10C2 = C4×C3⋊Q16φ: trivial image192(C2xC3:Q16).10C2192,588

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