Extensions 1→N→G→Q→1 with N=C4×Q8 and Q=C2

Direct product G=N×Q with N=C4×Q8 and Q=C2
dρLabelID
C2×C4×Q864C2xC4xQ864,197

Semidirect products G=N:Q with N=C4×Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×Q8)⋊1C2 = C4×SD16φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):1C264,119
(C4×Q8)⋊2C2 = SD16⋊C4φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):2C264,121
(C4×Q8)⋊3C2 = C4⋊SD16φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):3C264,141
(C4×Q8)⋊4C2 = Q8.D4φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):4C264,145
(C4×Q8)⋊5C2 = C23.32C23φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):5C264,200
(C4×Q8)⋊6C2 = C23.33C23φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):6C264,201
(C4×Q8)⋊7C2 = C23.36C23φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):7C264,210
(C4×Q8)⋊8C2 = C23.37C23φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):8C264,214
(C4×Q8)⋊9C2 = C22.35C24φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):9C264,222
(C4×Q8)⋊10C2 = C22.36C24φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):10C264,223
(C4×Q8)⋊11C2 = Q85D4φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):11C264,229
(C4×Q8)⋊12C2 = D4×Q8φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):12C264,230
(C4×Q8)⋊13C2 = Q86D4φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):13C264,231
(C4×Q8)⋊14C2 = C22.46C24φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):14C264,233
(C4×Q8)⋊15C2 = D43Q8φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):15C264,235
(C4×Q8)⋊16C2 = C22.50C24φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):16C264,237
(C4×Q8)⋊17C2 = C22.53C24φ: C2/C1C2 ⊆ Out C4×Q832(C4xQ8):17C264,240
(C4×Q8)⋊18C2 = C4×C4○D4φ: trivial image32(C4xQ8):18C264,198

Non-split extensions G=N.Q with N=C4×Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×Q8).1C2 = Q8⋊C8φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).1C264,7
(C4×Q8).2C2 = C4×Q16φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).2C264,120
(C4×Q8).3C2 = Q16⋊C4φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).3C264,122
(C4×Q8).4C2 = C84Q8φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).4C264,127
(C4×Q8).5C2 = C42Q16φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).5C264,143
(C4×Q8).6C2 = Q8⋊Q8φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).6C264,156
(C4×Q8).7C2 = C4.Q16φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).7C264,158
(C4×Q8).8C2 = Q8.Q8φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).8C264,160
(C4×Q8).9C2 = Q83Q8φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).9C264,238
(C4×Q8).10C2 = Q82φ: C2/C1C2 ⊆ Out C4×Q864(C4xQ8).10C264,239
(C4×Q8).11C2 = C8×Q8φ: trivial image64(C4xQ8).11C264,126

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