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

Direct product G=N×Q with N=C42.C2 and Q=C4
dρLabelID
C4×C42.C2128C4xC4^2.C2128,1037

Semidirect products G=N:Q with N=C42.C2 and Q=C4
extensionφ:Q→Out NdρLabelID
C42.C2⋊1C4 = C8⋊C4⋊5C4φ: C4/C1 → C4 ⊆ Out C42.C2168+C4^2.C2:1C4128,144
C42.C2⋊2C4 = (C4×C8)⋊C4φ: C4/C1 → C4 ⊆ Out C42.C2324C4^2.C2:2C4128,146
C42.C2⋊3C4 = C42.375D4φ: C4/C2 → C2 ⊆ Out C42.C232C4^2.C2:3C4128,232
C42.C2⋊4C4 = C42.57D4φ: C4/C2 → C2 ⊆ Out C42.C232C4^2.C2:4C4128,241
C42.C2⋊5C4 = C42.58D4φ: C4/C2 → C2 ⊆ Out C42.C232C4^2.C2:5C4128,244
C42.C2⋊6C4 = C42.63D4φ: C4/C2 → C2 ⊆ Out C42.C232C4^2.C2:6C4128,253
C42.C2⋊7C4 = M4(2)⋊7Q8φ: C4/C2 → C2 ⊆ Out C42.C232C4^2.C2:7C4128,718
C42.C2⋊8C4 = C42.123D4φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2:8C4128,721
C42.C2⋊9C4 = C42.437D4φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2:9C4128,723
C42.C2⋊10C4 = C42.124D4φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2:10C4128,724
C42.C2⋊11C4 = C42⋊16Q8φ: C4/C2 → C2 ⊆ Out C42.C232C4^2.C2:11C4128,726
C42.C2⋊12C4 = C42⋊Q8φ: C4/C2 → C2 ⊆ Out C42.C232C4^2.C2:12C4128,727
C42.C2⋊13C4 = C42.33Q8φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2:13C4128,1062
C42.C2⋊14C4 = C23.218C24φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2:14C4128,1068
C42.C2⋊15C4 = C23.252C24φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2:15C4128,1102
C42.C2⋊16C4 = C23.253C24φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2:16C4128,1103
C42.C2⋊17C4 = C23.264C24φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2:17C4128,1114

Non-split extensions G=N.Q with N=C42.C2 and Q=C4
extensionφ:Q→Out NdρLabelID
C42.C2.1C4 = C4.C4≀C2φ: C4/C1 → C4 ⊆ Out C42.C2168+C4^2.C2.1C4128,87
C42.C2.2C4 = C42.(C2×C4)φ: C4/C1 → C4 ⊆ Out C42.C2328-C4^2.C2.2C4128,88
C42.C2.3C4 = C8.1Q16φ: C4/C1 → C4 ⊆ Out C42.C2324C4^2.C2.3C4128,98
C42.C2.4C4 = C8⋊C4.C4φ: C4/C1 → C4 ⊆ Out C42.C2328-C4^2.C2.4C4128,145
C42.C2.5C4 = C42.373D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.5C4128,214
C42.C2.6C4 = C42.47D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.6C4128,215
C42.C2.7C4 = C42.305D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.7C4128,226
C42.C2.8C4 = C42.52D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.8C4128,227
C42.C2.9C4 = C2×C42.2C22φ: C4/C2 → C2 ⊆ Out C42.C2128C4^2.C2.9C4128,255
C42.C2.10C4 = C42.408D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.10C4128,260
C42.C2.11C4 = C42.71D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.11C4128,266
C42.C2.12C4 = C42.412D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.12C4128,276
C42.C2.13C4 = C42.81D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.13C4128,284
C42.C2.14C4 = C42.88D4φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.14C4128,293
C42.C2.15C4 = C42.287C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.15C4128,1693
C42.C2.16C4 = M4(2)⋊9Q8φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.16C4128,1694
C42.C2.17C4 = C42.292C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.17C4128,1699
C42.C2.18C4 = C42.293C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.18C4128,1700
C42.C2.19C4 = C42.294C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.19C4128,1701
C42.C2.20C4 = C42.696C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.20C4128,1717
C42.C2.21C4 = C42.304C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.21C4128,1718
C42.C2.22C4 = C42.305C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.22C4128,1719
C42.C2.23C4 = C42.307C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.23C4128,1724
C42.C2.24C4 = C42.308C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.24C4128,1725
C42.C2.25C4 = C42.309C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.25C4128,1726
C42.C2.26C4 = C42.310C23φ: C4/C2 → C2 ⊆ Out C42.C264C4^2.C2.26C4128,1727
C42.C2.27C4 = C42.286C23φ: trivial image64C4^2.C2.27C4128,1692
C42.C2.28C4 = C42.291C23φ: trivial image64C4^2.C2.28C4128,1698

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