# Extensions 1→N→G→Q→1 with N=C2.C42 and Q=C4

Direct product G=N×Q with N=C2.C42 and Q=C4
dρLabelID
C4×C2.C42128C4xC2.C4^2128,164

Semidirect products G=N:Q with N=C2.C42 and Q=C4
extensionφ:Q→Out NdρLabelID
C2.C421C4 = C24.46D4φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2:1C4128,16
C2.C422C4 = C23.8D8φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2:2C4128,21
C2.C423C4 = C24.D4φ: C4/C1C4 ⊆ Out C2.C4216C2.C4^2:3C4128,75
C2.C424C4 = C23.4D8φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2:4C4128,76
C2.C425C4 = C23.Q16φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2:5C4128,83
C2.C426C4 = C24.4D4φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2:6C4128,84
C2.C427C4 = C24.624C23φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2:7C4128,166
C2.C428C4 = C24.633C23φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2:8C4128,175
C2.C429C4 = C23.30D8φ: C4/C2C2 ⊆ Out C2.C4232C2.C4^2:9C4128,26
C2.C4210C4 = C24.48D4φ: C4/C2C2 ⊆ Out C2.C4232C2.C4^2:10C4128,29
C2.C4211C4 = C24.626C23φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2:11C4128,168
C2.C4212C4 = C24.632C23φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2:12C4128,174
C2.C4213C4 = C24.634C23φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2:13C4128,176

Non-split extensions G=N.Q with N=C2.C42 and Q=C4
extensionφ:Q→Out NdρLabelID
C2.C42.1C4 = C42.5Q8φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2.1C4128,18
C2.C42.2C4 = C42.6Q8φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2.2C4128,20
C2.C42.3C4 = C2.C2≀C4φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2.3C4128,77
C2.C42.4C4 = (C2×C4).D8φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2.4C4128,78
C2.C42.5C4 = (C2×C4).Q16φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2.5C4128,85
C2.C42.6C4 = C2.7C2≀C4φ: C4/C1C4 ⊆ Out C2.C4232C2.C4^2.6C4128,86
C2.C42.7C4 = (C4×C8)⋊12C4φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.7C4128,478
C2.C42.8C4 = C23.36C42φ: C4/C2C2 ⊆ Out C2.C4264C2.C4^2.8C4128,484
C2.C42.9C4 = C4⋊C813C4φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.9C4128,502
C2.C42.10C4 = C424C4.C2φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.10C4128,572
C2.C42.11C4 = C22⋊C44C8φ: C4/C2C2 ⊆ Out C2.C4264C2.C4^2.11C4128,655
C2.C42.12C4 = C42.9Q8φ: C4/C2C2 ⊆ Out C2.C4232C2.C4^2.12C4128,32
C2.C42.13C4 = C42.10Q8φ: C4/C2C2 ⊆ Out C2.C4232C2.C4^2.13C4128,35
C2.C42.14C4 = C23.17C42φ: C4/C2C2 ⊆ Out C2.C4264C2.C4^2.14C4128,485
C2.C42.15C4 = C42.45Q8φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.15C4128,500
C2.C42.16C4 = C4⋊C814C4φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.16C4128,503
C2.C42.17C4 = C42.23Q8φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.17C4128,564
C2.C42.18C4 = C42.25Q8φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.18C4128,575
C2.C42.19C4 = C23.21M4(2)φ: C4/C2C2 ⊆ Out C2.C4264C2.C4^2.19C4128,582
C2.C42.20C4 = (C2×C8).195D4φ: C4/C2C2 ⊆ Out C2.C4264C2.C4^2.20C4128,583
C2.C42.21C4 = C4⋊C43C8φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.21C4128,648
C2.C42.22C4 = (C2×C8).Q8φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.22C4128,649
C2.C42.23C4 = C23.9M4(2)φ: C4/C2C2 ⊆ Out C2.C4264C2.C4^2.23C4128,656
C2.C42.24C4 = C42.61Q8φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.24C4128,671
C2.C42.25C4 = C42.27Q8φ: C4/C2C2 ⊆ Out C2.C42128C2.C4^2.25C4128,672
C2.C42.26C4 = C2.C43φ: trivial image128C2.C4^2.26C4128,458
C2.C42.27C4 = C8×C22⋊C4φ: trivial image64C2.C4^2.27C4128,483
C2.C42.28C4 = C8×C4⋊C4φ: trivial image128C2.C4^2.28C4128,501

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