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Extensions 1→N→G→Q→1 with N=C2×C3⋊C8 and Q=C4

Direct product G=N×Q with N=C2×C3⋊C8 and Q=C4
dρLabelID
C2×C4×C3⋊C8192C2xC4xC3:C8192,479

Semidirect products G=N:Q with N=C2×C3⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C8)⋊1C4 = C42⋊3Dic3φ: C4/C1 → C4 ⊆ Out C2×C3⋊C8484(C2xC3:C8):1C4192,90
(C2×C3⋊C8)⋊2C4 = (C2×C12).Q8φ: C4/C1 → C4 ⊆ Out C2×C3⋊C8484(C2xC3:C8):2C4192,92
(C2×C3⋊C8)⋊3C4 = M4(2)⋊4Dic3φ: C4/C1 → C4 ⊆ Out C2×C3⋊C8484(C2xC3:C8):3C4192,118
(C2×C3⋊C8)⋊4C4 = C12.C42φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8):4C4192,88
(C2×C3⋊C8)⋊5C4 = C2×C6.Q16φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8):5C4192,521
(C2×C3⋊C8)⋊6C4 = C2×C12.Q8φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8):6C4192,522
(C2×C3⋊C8)⋊7C4 = C12.5C42φ: C4/C2 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):7C4192,556
(C2×C3⋊C8)⋊8C4 = C4⋊C4.234D6φ: C4/C2 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):8C4192,557
(C2×C3⋊C8)⋊9C4 = C12.7C42φ: C4/C2 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8):9C4192,681
(C2×C3⋊C8)⋊10C4 = (C2×C12)⋊3C8φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8):10C4192,83
(C2×C3⋊C8)⋊11C4 = (C2×C24)⋊5C4φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8):11C4192,109
(C2×C3⋊C8)⋊12C4 = C2×C42.S3φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8):12C4192,480
(C2×C3⋊C8)⋊13C4 = C2×C24⋊C4φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8):13C4192,659
(C2×C3⋊C8)⋊14C4 = Dic3×C2×C8φ: trivial image192(C2xC3:C8):14C4192,657

Non-split extensions G=N.Q with N=C2×C3⋊C8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C3⋊C8).1C4 = C48⋊C4φ: C4/C1 → C4 ⊆ Out C2×C3⋊C8484(C2xC3:C8).1C4192,71
(C2×C3⋊C8).2C4 = C8.25D12φ: C4/C1 → C4 ⊆ Out C2×C3⋊C8484(C2xC3:C8).2C4192,73
(C2×C3⋊C8).3C4 = C12.21C42φ: C4/C1 → C4 ⊆ Out C2×C3⋊C8484(C2xC3:C8).3C4192,119
(C2×C3⋊C8).4C4 = C12.53D8φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8).4C4192,38
(C2×C3⋊C8).5C4 = C12.39SD16φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8).5C4192,39
(C2×C3⋊C8).6C4 = C24.97D4φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8).6C4192,70
(C2×C3⋊C8).7C4 = C12.4C42φ: C4/C2 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).7C4192,117
(C2×C3⋊C8).8C4 = S3×M5(2)φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8484(C2xC3:C8).8C4192,465
(C2×C3⋊C8).9C4 = C2×C12.53D4φ: C4/C2 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).9C4192,682
(C2×C3⋊C8).10C4 = C42.279D6φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8).10C4192,13
(C2×C3⋊C8).11C4 = C24⋊C8φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8).11C4192,14
(C2×C3⋊C8).12C4 = Dic3⋊C16φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8).12C4192,60
(C2×C3⋊C8).13C4 = C48⋊10C4φ: C4/C2 → C2 ⊆ Out C2×C3⋊C8192(C2xC3:C8).13C4192,61
(C2×C3⋊C8).14C4 = D6⋊C16φ: C4/C2 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).14C4192,66
(C2×C3⋊C8).15C4 = C2×D6.C8φ: C4/C2 → C2 ⊆ Out C2×C3⋊C896(C2xC3:C8).15C4192,459
(C2×C3⋊C8).16C4 = C8×C3⋊C8φ: trivial image192(C2xC3:C8).16C4192,12
(C2×C3⋊C8).17C4 = Dic3×C16φ: trivial image192(C2xC3:C8).17C4192,59
(C2×C3⋊C8).18C4 = S3×C2×C16φ: trivial image96(C2xC3:C8).18C4192,458

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