Extensions 1→N→G→Q→1 with N=C42:2C2 and Q=C4

Direct product G=NxQ with N=C42:2C2 and Q=C4
dρLabelID
C4xC42:2C264C4xC4^2:2C2128,1036

Semidirect products G=N:Q with N=C42:2C2 and Q=C4
extensionφ:Q→Out NdρLabelID
C42:2C2:1C4 = C24.203C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2:1C4128,1066
C42:2C2:2C4 = C23.255C24φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2:2C4128,1105
C42:2C2:3C4 = C24.230C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2:3C4128,1115

Non-split extensions G=N.Q with N=C42:2C2 and Q=C4
extensionφ:Q→Out NdρLabelID
C42:2C2.1C4 = C42.292C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2.1C4128,1699
C42:2C2.2C4 = C42.293C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2.2C4128,1700
C42:2C2.3C4 = C42.294C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2.3C4128,1701
C42:2C2.4C4 = C42.307C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2.4C4128,1724
C42:2C2.5C4 = C42.308C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2.5C4128,1725
C42:2C2.6C4 = C42.309C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2.6C4128,1726
C42:2C2.7C4 = C42.310C23φ: C4/C2C2 ⊆ Out C42:2C264C4^2:2C2.7C4128,1727
C42:2C2.8C4 = C42.291C23φ: trivial image64C4^2:2C2.8C4128,1698

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