# Extensions 1→N→G→Q→1 with N=C22.D4 and Q=C4

Direct product G=N×Q with N=C22.D4 and Q=C4
dρLabelID
C4×C22.D464C4xC2^2.D4128,1033

Semidirect products G=N:Q with N=C22.D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C22.D41C4 = C24.28D4φ: C4/C1C4 ⊆ Out C22.D4168+C2^2.D4:1C4128,645
C22.D42C4 = C24.36D4φ: C4/C1C4 ⊆ Out C22.D4168+C2^2.D4:2C4128,853
C22.D43C4 = C23.(C2×D4)φ: C4/C1C4 ⊆ Out C22.D4328-C2^2.D4:3C4128,855
C22.D44C4 = C24.26D4φ: C4/C2C2 ⊆ Out C22.D432C2^2.D4:4C4128,622
C22.D45C4 = C2×C23.D4φ: C4/C2C2 ⊆ Out C22.D432C2^2.D4:5C4128,851
C22.D46C4 = C4○C2≀C4φ: C4/C2C2 ⊆ Out C22.D4164C2^2.D4:6C4128,852
C22.D47C4 = C24.195C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4:7C4128,1054
C22.D48C4 = C24.204C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4:8C4128,1067
C22.D49C4 = C23.241C24φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4:9C4128,1091
C22.D410C4 = C24.223C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4:10C4128,1106
C22.D411C4 = C24.225C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4:11C4128,1108

Non-split extensions G=N.Q with N=C22.D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C22.D4.C4 = M4(2).50D4φ: C4/C1C4 ⊆ Out C22.D4328-C2^2.D4.C4128,647
C22.D4.2C4 = (C2×C8)⋊D4φ: C4/C2C2 ⊆ Out C22.D4164C2^2.D4.2C4128,623
C22.D4.3C4 = C42.265C23φ: C4/C2C2 ⊆ Out C22.D432C2^2.D4.3C4128,1662
C22.D4.4C4 = M4(2)⋊22D4φ: C4/C2C2 ⊆ Out C22.D432C2^2.D4.4C4128,1665
C22.D4.5C4 = C42.292C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4.5C4128,1699
C22.D4.6C4 = C42.293C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4.6C4128,1700
C22.D4.7C4 = C42.294C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4.7C4128,1701
C22.D4.8C4 = C42.297C23φ: C4/C2C2 ⊆ Out C22.D432C2^2.D4.8C4128,1708
C22.D4.9C4 = C42.298C23φ: C4/C2C2 ⊆ Out C22.D432C2^2.D4.9C4128,1709
C22.D4.10C4 = C42.299C23φ: C4/C2C2 ⊆ Out C22.D432C2^2.D4.10C4128,1710
C22.D4.11C4 = C42.307C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4.11C4128,1724
C22.D4.12C4 = C42.308C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4.12C4128,1725
C22.D4.13C4 = C42.309C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4.13C4128,1726
C22.D4.14C4 = C42.310C23φ: C4/C2C2 ⊆ Out C22.D464C2^2.D4.14C4128,1727
C22.D4.15C4 = C42.264C23φ: trivial image32C2^2.D4.15C4128,1661
C22.D4.16C4 = C42.291C23φ: trivial image64C2^2.D4.16C4128,1698

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