# Extensions 1→N→G→Q→1 with N=C22 and Q=C4≀C2

Direct product G=N×Q with N=C22 and Q=C4≀C2
dρLabelID
C22×C4≀C232C2^2xC4wrC2128,1631

Semidirect products G=N:Q with N=C22 and Q=C4≀C2
extensionφ:Q→Aut NdρLabelID
C221C4≀C2 = (C2×C4)≀C2φ: C4≀C2/C42C2 ⊆ Aut C2216C2^2:1C4wrC2128,628
C222C4≀C2 = C24.72D4φ: C4≀C2/M4(2)C2 ⊆ Aut C2232C2^2:2C4wrC2128,603
C223C4≀C2 = C24.66D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2:3C4wrC2128,521

Non-split extensions G=N.Q with N=C22 and Q=C4≀C2
extensionφ:Q→Aut NdρLabelID
C22.1C4≀C2 = C8≀C2φ: C4≀C2/C42C2 ⊆ Aut C22162C2^2.1C4wrC2128,67
C22.2C4≀C2 = C8.32D8φ: C4≀C2/C42C2 ⊆ Aut C22164C2^2.2C4wrC2128,68
C22.3C4≀C2 = C42.305D4φ: C4≀C2/C42C2 ⊆ Aut C2264C2^2.3C4wrC2128,226
C22.4C4≀C2 = C24.150D4φ: C4≀C2/C42C2 ⊆ Aut C2216C2^2.4C4wrC2128,236
C22.5C4≀C2 = C42.69D4φ: C4≀C2/C42C2 ⊆ Aut C2264C2^2.5C4wrC2128,264
C22.6C4≀C2 = C42.47D4φ: C4≀C2/M4(2)C2 ⊆ Aut C2264C2^2.6C4wrC2128,215
C22.7C4≀C2 = C24.53D4φ: C4≀C2/M4(2)C2 ⊆ Aut C2232C2^2.7C4wrC2128,233
C22.8C4≀C2 = C42.66D4φ: C4≀C2/M4(2)C2 ⊆ Aut C2264C2^2.8C4wrC2128,256
C22.9C4≀C2 = C24.46D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.9C4wrC2128,16
C22.10C4≀C2 = C42.6Q8φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.10C4wrC2128,20
C22.11C4≀C2 = C24.48D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.11C4wrC2128,29
C22.12C4≀C2 = C42.9Q8φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.12C4wrC2128,32
C22.13C4≀C2 = C24.D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2216C2^2.13C4wrC2128,75
C22.14C4≀C2 = C23.4D8φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.14C4wrC2128,76
C22.15C4≀C2 = C2.C2≀C4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.15C4wrC2128,77
C22.16C4≀C2 = (C2×C4).D8φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.16C4wrC2128,78
C22.17C4≀C2 = C23.Q16φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.17C4wrC2128,83
C22.18C4≀C2 = C24.4D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.18C4wrC2128,84
C22.19C4≀C2 = (C2×C4).Q16φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.19C4wrC2128,85
C22.20C4≀C2 = C2.7C2≀C4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.20C4wrC2128,86
C22.21C4≀C2 = D45M4(2)φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.21C4wrC2128,222
C22.22C4≀C2 = Q85M4(2)φ: C4≀C2/C4○D4C2 ⊆ Aut C2264C2^2.22C4wrC2128,223
C22.23C4≀C2 = C24.54D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.23C4wrC2128,239
C22.24C4≀C2 = C24.55D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.24C4wrC2128,240
C22.25C4≀C2 = C42.407D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.25C4wrC2128,259
C22.26C4≀C2 = C42.408D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2264C2^2.26C4wrC2128,260
C22.27C4≀C2 = C24.70D4φ: C4≀C2/C4○D4C2 ⊆ Aut C2232C2^2.27C4wrC2128,558
C22.28C4≀C2 = (C2×C4).98D8central extension (φ=1)64C2^2.28C4wrC2128,2
C22.29C4≀C2 = C4⋊C4⋊C8central extension (φ=1)128C2^2.29C4wrC2128,3
C22.30C4≀C2 = (C2×Q8)⋊C8central extension (φ=1)128C2^2.30C4wrC2128,4
C22.31C4≀C2 = C42.46Q8central extension (φ=1)128C2^2.31C4wrC2128,11
C22.32C4≀C2 = C23.30D8central extension (φ=1)32C2^2.32C4wrC2128,26
C22.33C4≀C2 = C42.7Q8central extension (φ=1)128C2^2.33C4wrC2128,27
C22.34C4≀C2 = C2×D4⋊C8central extension (φ=1)64C2^2.34C4wrC2128,206
C22.35C4≀C2 = C2×Q8⋊C8central extension (φ=1)128C2^2.35C4wrC2128,207
C22.36C4≀C2 = C2×C22.SD16central extension (φ=1)32C2^2.36C4wrC2128,230
C22.37C4≀C2 = C2×C23.31D4central extension (φ=1)32C2^2.37C4wrC2128,231
C22.38C4≀C2 = C2×C42.C22central extension (φ=1)64C2^2.38C4wrC2128,254
C22.39C4≀C2 = C2×C42.2C22central extension (φ=1)128C2^2.39C4wrC2128,255
C22.40C4≀C2 = C2×C426C4central extension (φ=1)32C2^2.40C4wrC2128,464

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