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Extensions 1→N→G→Q→1 with N=C33:5C4 and Q=C22

Direct product G=NxQ with N=C33:5C4 and Q=C22
dρLabelID
C22xC33:5C4432C2^2xC3^3:5C4432,728

Semidirect products G=N:Q with N=C33:5C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C33:5C4:1C22 = S32xDic3φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4:1C2^2432,594
C33:5C4:2C22 = Dic3:6S32φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4:2C2^2432,596
C33:5C4:3C22 = S3xD6:S3φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4:3C2^2432,597
C33:5C4:4C22 = D6:S32φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4:4C2^2432,600
C33:5C4:5C22 = S3xC32:7D4φ: C22/C1 → C22 ⊆ Out C33:5C472C3^3:5C4:5C2^2432,684
C33:5C4:6C22 = C3:S3xC3:D4φ: C22/C1 → C22 ⊆ Out C33:5C472C3^3:5C4:6C2^2432,685
C33:5C4:7C22 = C4xS3xC3:S3φ: C22/C2 → C2 ⊆ Out C33:5C472C3^3:5C4:7C2^2432,670
C33:5C4:8C22 = C12:S32φ: C22/C2 → C2 ⊆ Out C33:5C472C3^3:5C4:8C2^2432,673
C33:5C4:9C22 = C2xS3xC3:Dic3φ: C22/C2 → C2 ⊆ Out C33:5C4144C3^3:5C4:9C2^2432,674
C33:5C4:10C22 = C2xDic3xC3:S3φ: C22/C2 → C2 ⊆ Out C33:5C4144C3^3:5C4:10C2^2432,677
C33:5C4:11C22 = C2xC33:6D4φ: C22/C2 → C2 ⊆ Out C33:5C4144C3^3:5C4:11C2^2432,680
C33:5C4:12C22 = D4xC33:C2φ: C22/C2 → C2 ⊆ Out C33:5C4108C3^3:5C4:12C2^2432,724
C33:5C4:13C22 = C2xC33:15D4φ: C22/C2 → C2 ⊆ Out C33:5C4216C3^3:5C4:13C2^2432,729
C33:5C4:14C22 = C2xC4xC33:C2φ: trivial image216C3^3:5C4:14C2^2432,721

Non-split extensions G=N.Q with N=C33:5C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C33:5C4.1C22 = S3xC32:2Q8φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4.1C2^2432,603
C33:5C4.2C22 = C33:5(C2xQ8)φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4.2C2^2432,604
C33:5C4.3C22 = D6.S32φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4.3C2^2432,607
C33:5C4.4C22 = D6.4S32φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4.4C2^2432,608
C33:5C4.5C22 = D6:S3:S3φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4.5C2^2432,610
C33:5C4.6C22 = D6.6S32φ: C22/C1 → C22 ⊆ Out C33:5C4488-C3^3:5C4.6C2^2432,611
C33:5C4.7C22 = S3xC32:4Q8φ: C22/C1 → C22 ⊆ Out C33:5C4144C3^3:5C4.7C2^2432,660
C33:5C4.8C22 = (C3xD12):S3φ: C22/C1 → C22 ⊆ Out C33:5C4144C3^3:5C4.8C2^2432,661
C33:5C4.9C22 = C3:S3xDic6φ: C22/C1 → C22 ⊆ Out C33:5C4144C3^3:5C4.9C2^2432,663
C33:5C4.10C22 = C12.57S32φ: C22/C1 → C22 ⊆ Out C33:5C4144C3^3:5C4.10C2^2432,668
C33:5C4.11C22 = C62.90D6φ: C22/C1 → C22 ⊆ Out C33:5C472C3^3:5C4.11C2^2432,675
C33:5C4.12C22 = C62.93D6φ: C22/C1 → C22 ⊆ Out C33:5C472C3^3:5C4.12C2^2432,678
C33:5C4.13C22 = D12:(C3:S3)φ: C22/C2 → C2 ⊆ Out C33:5C472C3^3:5C4.13C2^2432,662
C33:5C4.14C22 = C12.39S32φ: C22/C2 → C2 ⊆ Out C33:5C472C3^3:5C4.14C2^2432,664
C33:5C4.15C22 = C32:9(S3xQ8)φ: C22/C2 → C2 ⊆ Out C33:5C472C3^3:5C4.15C2^2432,666
C33:5C4.16C22 = C12.73S32φ: C22/C2 → C2 ⊆ Out C33:5C472C3^3:5C4.16C2^2432,667
C33:5C4.17C22 = C62.91D6φ: C22/C2 → C2 ⊆ Out C33:5C472C3^3:5C4.17C2^2432,676
C33:5C4.18C22 = C2xC33:4Q8φ: C22/C2 → C2 ⊆ Out C33:5C4144C3^3:5C4.18C2^2432,683
C33:5C4.19C22 = C2xC33:8Q8φ: C22/C2 → C2 ⊆ Out C33:5C4432C3^3:5C4.19C2^2432,720
C33:5C4.20C22 = C62.160D6φ: C22/C2 → C2 ⊆ Out C33:5C4216C3^3:5C4.20C2^2432,723
C33:5C4.21C22 = C62.100D6φ: C22/C2 → C2 ⊆ Out C33:5C4216C3^3:5C4.21C2^2432,725
C33:5C4.22C22 = Q8xC33:C2φ: C22/C2 → C2 ⊆ Out C33:5C4216C3^3:5C4.22C2^2432,726
C33:5C4.23C22 = (Q8xC33):C2φ: trivial image216C3^3:5C4.23C2^2432,727

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