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Extensions 1→N→G→Q→1 with N=C2×Dic12 and Q=C2

Direct product G=N×Q with N=C2×Dic12 and Q=C2
dρLabelID
C22×Dic12192C2^2xDic12192,1301

Semidirect products G=N:Q with N=C2×Dic12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic12)⋊1C2 = C8.8D12φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):1C2192,255
(C2×Dic12)⋊2C2 = D12.32D4φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):2C2192,292
(C2×Dic12)⋊3C2 = Dic6.32D4φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):3C2192,298
(C2×Dic12)⋊4C2 = Dic6.D4φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):4C2192,326
(C2×Dic12)⋊5C2 = D4.D12φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):5C2192,342
(C2×Dic12)⋊6C2 = D6⋊Q16φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):6C2192,368
(C2×Dic12)⋊7C2 = C42.36D6φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):7C2192,404
(C2×Dic12)⋊8C2 = C2×C48⋊C2φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):8C2192,462
(C2×Dic12)⋊9C2 = C24.82D4φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):9C2192,675
(C2×Dic12)⋊10C2 = C8.D12φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):10C2192,274
(C2×Dic12)⋊11C2 = C16.D6φ: C2/C1 → C2 ⊆ Out C2×Dic12964-(C2xDic12):11C2192,468
(C2×Dic12)⋊12C2 = C24.4D4φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):12C2192,696
(C2×Dic12)⋊13C2 = Q8.10D12φ: C2/C1 → C2 ⊆ Out C2×Dic12964-(C2xDic12):13C2192,702
(C2×Dic12)⋊14C2 = C2×C8.D6φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):14C2192,1306
(C2×Dic12)⋊15C2 = D4.13D12φ: C2/C1 → C2 ⊆ Out C2×Dic12964-(C2xDic12):15C2192,1312
(C2×Dic12)⋊16C2 = D6⋊2Q16φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):16C2192,446
(C2×Dic12)⋊17C2 = C2×D8.S3φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):17C2192,707
(C2×Dic12)⋊18C2 = C24.22D4φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):18C2192,714
(C2×Dic12)⋊19C2 = C2×D8⋊3S3φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):19C2192,1315
(C2×Dic12)⋊20C2 = C2×S3×Q16φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):20C2192,1322
(C2×Dic12)⋊21C2 = C24.18D4φ: C2/C1 → C2 ⊆ Out C2×Dic12964-(C2xDic12):21C2192,455
(C2×Dic12)⋊22C2 = D8.9D6φ: C2/C1 → C2 ⊆ Out C2×Dic12964-(C2xDic12):22C2192,754
(C2×Dic12)⋊23C2 = D8.10D6φ: C2/C1 → C2 ⊆ Out C2×Dic12964-(C2xDic12):23C2192,1330
(C2×Dic12)⋊24C2 = C8.2D12φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):24C2192,426
(C2×Dic12)⋊25C2 = C24.31D4φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):25C2192,726
(C2×Dic12)⋊26C2 = C2×D4.D6φ: C2/C1 → C2 ⊆ Out C2×Dic1296(C2xDic12):26C2192,1319
(C2×Dic12)⋊27C2 = C2×C4○D24φ: trivial image96(C2xDic12):27C2192,1300

Non-split extensions G=N.Q with N=C2×Dic12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic12).1C2 = C2.Dic24φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).1C2192,62
(C2×Dic12).2C2 = C12⋊4Q16φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).2C2192,258
(C2×Dic12).3C2 = Dic3⋊Q16φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).3C2192,354
(C2×Dic12).4C2 = C4⋊Dic12φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).4C2192,408
(C2×Dic12).5C2 = C2×Dic24φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).5C2192,464
(C2×Dic12).6C2 = C12.4D8φ: C2/C1 → C2 ⊆ Out C2×Dic12964-(C2xDic12).6C2192,76
(C2×Dic12).7C2 = Dic12⋊C4φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).7C2192,275
(C2×Dic12).8C2 = C6.Q32φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).8C2192,51
(C2×Dic12).9C2 = Dic3⋊5Q16φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).9C2192,432
(C2×Dic12).10C2 = C2×C3⋊Q32φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).10C2192,739
(C2×Dic12).11C2 = C24.26D4φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).11C2192,742
(C2×Dic12).12C2 = C24.8D4φ: C2/C1 → C2 ⊆ Out C2×Dic12964-(C2xDic12).12C2192,55
(C2×Dic12).13C2 = Dic12⋊9C4φ: C2/C1 → C2 ⊆ Out C2×Dic12192(C2xDic12).13C2192,412
(C2×Dic12).14C2 = C4×Dic12φ: trivial image192(C2xDic12).14C2192,257

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