Extensions 1→N→G→Q→1 with N=C42.C22 and Q=C2

Direct product G=N×Q with N=C42.C22 and Q=C2
dρLabelID
C2×C42.C2264C2xC4^2.C2^2128,254

Semidirect products G=N:Q with N=C42.C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.C221C2 = C42.C23φ: C2/C1C2 ⊆ Out C42.C2232C4^2.C2^2:1C2128,387
C42.C222C2 = C42.2C23φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:2C2128,388
C42.C223C2 = C42.5C23φ: C2/C1C2 ⊆ Out C42.C2232C4^2.C2^2:3C2128,391
C42.C224C2 = C42.7C23φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:4C2128,393
C42.C225C2 = C42.2D4φ: C2/C1C2 ⊆ Out C42.C22164C4^2.C2^2:5C2128,135
C42.C226C2 = C42.3D4φ: C2/C1C2 ⊆ Out C42.C22164C4^2.C2^2:6C2128,136
C42.C227C2 = C42.407D4φ: C2/C1C2 ⊆ Out C42.C2232C4^2.C2^2:7C2128,259
C42.C228C2 = C42.376D4φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:8C2128,261
C42.C229C2 = C42.67D4φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:9C2128,262
C42.C2210C2 = C42.69D4φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:10C2128,264
C42.C2211C2 = C42.70D4φ: C2/C1C2 ⊆ Out C42.C2232C4^2.C2^2:11C2128,265
C42.C2212C2 = C42.72D4φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:12C2128,267
C42.C2213C2 = C42.73D4φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:13C2128,268
C42.C2214C2 = C42.3C23φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:14C2128,389
C42.C2215C2 = C42.8C23φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2:15C2128,394
C42.C2216C2 = C42.66D4φ: trivial image64C4^2.C2^2:16C2128,256
C42.C2217C2 = C42.405D4φ: trivial image64C4^2.C2^2:17C2128,257

Non-split extensions G=N.Q with N=C42.C22 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.C22.1C2 = C42.6C23φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2.1C2128,392
C42.C22.2C2 = C42.10C23φ: C2/C1C2 ⊆ Out C42.C2264C4^2.C2^2.2C2128,396

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