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Extensions 1→N→G→Q→1 with N=C3×C2.C42 and Q=C2

Direct product G=N×Q with N=C3×C2.C42 and Q=C2
dρLabelID
C6×C2.C42192C6xC2.C4^2192,808

Semidirect products G=N:Q with N=C3×C2.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C2.C42)⋊1C2 = C6.(C4⋊D4)φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):1C2192,234
(C3×C2.C42)⋊2C2 = (C22×C4).37D6φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):2C2192,235
(C3×C2.C42)⋊3C2 = C3×C23.7Q8φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):3C2192,813
(C3×C2.C42)⋊4C2 = C3×C23.34D4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):4C2192,814
(C3×C2.C42)⋊5C2 = C3×C24.C22φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):5C2192,821
(C3×C2.C42)⋊6C2 = C3×C23.Q8φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):6C2192,829
(C3×C2.C42)⋊7C2 = C3×C23.11D4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):7C2192,830
(C3×C2.C42)⋊8C2 = (C2×C12)⋊5D4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):8C2192,230
(C3×C2.C42)⋊9C2 = C6.C22≀C2φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):9C2192,231
(C3×C2.C42)⋊10C2 = (C22×S3)⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):10C2192,232
(C3×C2.C42)⋊11C2 = (C2×C4).21D12φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):11C2192,233
(C3×C2.C42)⋊12C2 = (C2×C12).33D4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):12C2192,236
(C3×C2.C42)⋊13C2 = C6.C4≀C2φ: C2/C1 → C2 ⊆ Out C3×C2.C4248(C3xC2.C4^2):13C2192,10
(C3×C2.C42)⋊14C2 = (C2×C4)⋊9D12φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):14C2192,224
(C3×C2.C42)⋊15C2 = D6⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):15C2192,227
(C3×C2.C42)⋊16C2 = D6⋊C4⋊3C4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):16C2192,229
(C3×C2.C42)⋊17C2 = S3×C2.C42φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):17C2192,222
(C3×C2.C42)⋊18C2 = C22.58(S3×D4)φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):18C2192,223
(C3×C2.C42)⋊19C2 = D6⋊C42φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):19C2192,225
(C3×C2.C42)⋊20C2 = D6⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):20C2192,226
(C3×C2.C42)⋊21C2 = D6⋊C4⋊5C4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):21C2192,228
(C3×C2.C42)⋊22C2 = C3×C22.SD16φ: C2/C1 → C2 ⊆ Out C3×C2.C4248(C3xC2.C4^2):22C2192,133
(C3×C2.C42)⋊23C2 = C3×C23.8Q8φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):23C2192,818
(C3×C2.C42)⋊24C2 = C3×C23.23D4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):24C2192,819
(C3×C2.C42)⋊25C2 = C3×C23⋊2D4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):25C2192,825
(C3×C2.C42)⋊26C2 = C3×C23⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):26C2192,826
(C3×C2.C42)⋊27C2 = C3×C23.10D4φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):27C2192,827
(C3×C2.C42)⋊28C2 = C3×C23.4Q8φ: C2/C1 → C2 ⊆ Out C3×C2.C4296(C3xC2.C4^2):28C2192,832
(C3×C2.C42)⋊29C2 = C12×C22⋊C4φ: trivial image96(C3xC2.C4^2):29C2192,810

Non-split extensions G=N.Q with N=C3×C2.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C2.C42).1C2 = (C2×Dic3).9D4φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).1C2192,217
(C3×C2.C42).2C2 = (C22×C4).30D6φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).2C2192,221
(C3×C2.C42).3C2 = C3×C42⋊8C4φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).3C2192,815
(C3×C2.C42).4C2 = C3×C42⋊5C4φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).4C2192,816
(C3×C2.C42).5C2 = C3×C23.63C23φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).5C2192,820
(C3×C2.C42).6C2 = C3×C23.83C23φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).6C2192,833
(C3×C2.C42).7C2 = C3×C23.84C23φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).7C2192,834
(C3×C2.C42).8C2 = (C2×C4)⋊Dic6φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).8C2192,215
(C3×C2.C42).9C2 = C6.(C4⋊Q8)φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).9C2192,216
(C3×C2.C42).10C2 = (C2×C4).17D12φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).10C2192,218
(C3×C2.C42).11C2 = (C2×C4).Dic6φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).11C2192,219
(C3×C2.C42).12C2 = (C22×C4).85D6φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).12C2192,220
(C3×C2.C42).13C2 = C4⋊Dic3⋊C4φ: C2/C1 → C2 ⊆ Out C3×C2.C4248(C3xC2.C4^2).13C2192,11
(C3×C2.C42).14C2 = (C2×C12)⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).14C2192,205
(C3×C2.C42).15C2 = C6.(C4×Q8)φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).15C2192,206
(C3×C2.C42).16C2 = C2.(C4×D12)φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).16C2192,212
(C3×C2.C42).17C2 = C2.(C4×Dic6)φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).17C2192,213
(C3×C2.C42).18C2 = Dic3⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).18C2192,214
(C3×C2.C42).19C2 = Dic3.5C42φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).19C2192,207
(C3×C2.C42).20C2 = Dic3⋊C42φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).20C2192,208
(C3×C2.C42).21C2 = C3⋊(C42⋊8C4)φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).21C2192,209
(C3×C2.C42).22C2 = C3⋊(C42⋊5C4)φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).22C2192,210
(C3×C2.C42).23C2 = C6.(C4×D4)φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).23C2192,211
(C3×C2.C42).24C2 = C3×C23.31D4φ: C2/C1 → C2 ⊆ Out C3×C2.C4248(C3xC2.C4^2).24C2192,134
(C3×C2.C42).25C2 = C3×C23.65C23φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).25C2192,822
(C3×C2.C42).26C2 = C3×C23.67C23φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).26C2192,824
(C3×C2.C42).27C2 = C3×C23.78C23φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).27C2192,828
(C3×C2.C42).28C2 = C3×C23.81C23φ: C2/C1 → C2 ⊆ Out C3×C2.C42192(C3xC2.C4^2).28C2192,831
(C3×C2.C42).29C2 = C3×C42⋊4C4φ: trivial image192(C3xC2.C4^2).29C2192,809
(C3×C2.C42).30C2 = C12×C4⋊C4φ: trivial image192(C3xC2.C4^2).30C2192,811

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