Extensions 1→N→G→Q→1 with N=C32:4C8 and Q=C4

Direct product G=NxQ with N=C32:4C8 and Q=C4
dρLabelID
C4xC32:4C8288C4xC3^2:4C8288,277

Semidirect products G=N:Q with N=C32:4C8 and Q=C4
extensionφ:Q→Out NdρLabelID
C32:4C8:1C4 = C12.6Dic6φ: C4/C2C2 ⊆ Out C32:4C896C3^2:4C8:1C4288,222
C32:4C8:2C4 = C12.8Dic6φ: C4/C2C2 ⊆ Out C32:4C896C3^2:4C8:2C4288,224
C32:4C8:3C4 = C12.9Dic6φ: C4/C2C2 ⊆ Out C32:4C8288C3^2:4C8:3C4288,282
C32:4C8:4C4 = C12.10Dic6φ: C4/C2C2 ⊆ Out C32:4C8288C3^2:4C8:4C4288,283
C32:4C8:5C4 = Dic3xC3:C8φ: C4/C2C2 ⊆ Out C32:4C896C3^2:4C8:5C4288,200
C32:4C8:6C4 = C3:C8:Dic3φ: C4/C2C2 ⊆ Out C32:4C896C3^2:4C8:6C4288,202
C32:4C8:7C4 = C122.C2φ: C4/C2C2 ⊆ Out C32:4C8288C3^2:4C8:7C4288,278
C32:4C8:8C4 = C24:Dic3φ: C4/C2C2 ⊆ Out C32:4C8288C3^2:4C8:8C4288,290
C32:4C8:9C4 = C8xC32:C4φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8:9C4288,414
C32:4C8:10C4 = (C3xC24):C4φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8:10C4288,415
C32:4C8:11C4 = C8:(C32:C4)φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8:11C4288,416
C32:4C8:12C4 = C3:S3.4D8φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8:12C4288,417
C32:4C8:13C4 = C8xC3:Dic3φ: trivial image288C3^2:4C8:13C4288,288

Non-split extensions G=N.Q with N=C32:4C8 and Q=C4
extensionφ:Q→Out NdρLabelID
C32:4C8.C4 = C32:C32φ: C4/C1C4 ⊆ Out C32:4C8968C3^2:4C8.C4288,373
C32:4C8.2C4 = C62.5Q8φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8.2C4288,226
C32:4C8.3C4 = C62.8Q8φ: C4/C2C2 ⊆ Out C32:4C8144C3^2:4C8.3C4288,297
C32:4C8.4C4 = C24.60D6φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8.4C4288,190
C32:4C8.5C4 = C24.62D6φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8.5C4288,192
C32:4C8.6C4 = C48:S3φ: C4/C2C2 ⊆ Out C32:4C8144C3^2:4C8.6C4288,273
C32:4C8.7C4 = (C3xC24).C4φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8.7C4288,418
C32:4C8.8C4 = C8.(C32:C4)φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8.8C4288,419
C32:4C8.9C4 = C2xC32:2C16φ: C4/C2C2 ⊆ Out C32:4C896C3^2:4C8.9C4288,420
C32:4C8.10C4 = C62.4C8φ: C4/C2C2 ⊆ Out C32:4C8484C3^2:4C8.10C4288,421
C32:4C8.11C4 = C16xC3:S3φ: trivial image144C3^2:4C8.11C4288,272

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