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Extensions 1→N→G→Q→1 with N=C15×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C15×C22⋊C4 and Q=C2
dρLabelID
C22⋊C4×C30240C2^2:C4xC30480,920

Semidirect products G=N:Q with N=C15×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C15×C22⋊C4)⋊1C2 = C3×C23.1D10φ: C2/C1 → C2 ⊆ Out C15×C22⋊C41204(C15xC2^2:C4):1C2480,84
(C15×C22⋊C4)⋊2C2 = C5×C23.6D6φ: C2/C1 → C2 ⊆ Out C15×C22⋊C41204(C15xC2^2:C4):2C2480,125
(C15×C22⋊C4)⋊3C2 = C23.6D30φ: C2/C1 → C2 ⊆ Out C15×C22⋊C41204(C15xC2^2:C4):3C2480,166
(C15×C22⋊C4)⋊4C2 = C15×C23⋊C4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C41204(C15xC2^2:C4):4C2480,202
(C15×C22⋊C4)⋊5C2 = D30⋊16D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4120(C15xC2^2:C4):5C2480,847
(C15×C22⋊C4)⋊6C2 = C22.D60φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):6C2480,851
(C15×C22⋊C4)⋊7C2 = D30.28D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):7C2480,848
(C15×C22⋊C4)⋊8C2 = D30⋊9D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):8C2480,849
(C15×C22⋊C4)⋊9C2 = C23.11D30φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):9C2480,850
(C15×C22⋊C4)⋊10C2 = C22⋊C4×D15φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4120(C15xC2^2:C4):10C2480,845
(C15×C22⋊C4)⋊11C2 = Dic15⋊19D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):11C2480,846
(C15×C22⋊C4)⋊12C2 = C3×C22⋊D20φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4120(C15xC2^2:C4):12C2480,675
(C15×C22⋊C4)⋊13C2 = C3×C22.D20φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):13C2480,679
(C15×C22⋊C4)⋊14C2 = C3×D10.12D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):14C2480,676
(C15×C22⋊C4)⋊15C2 = C3×D10⋊D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):15C2480,677
(C15×C22⋊C4)⋊16C2 = C3×Dic5.5D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):16C2480,678
(C15×C22⋊C4)⋊17C2 = C5×D6⋊D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4120(C15xC2^2:C4):17C2480,761
(C15×C22⋊C4)⋊18C2 = C5×C23.21D6φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):18C2480,765
(C15×C22⋊C4)⋊19C2 = C5×C23.9D6φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):19C2480,762
(C15×C22⋊C4)⋊20C2 = C5×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):20C2480,763
(C15×C22⋊C4)⋊21C2 = C5×C23.11D6φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):21C2480,764
(C15×C22⋊C4)⋊22C2 = C3×D5×C22⋊C4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4120(C15xC2^2:C4):22C2480,673
(C15×C22⋊C4)⋊23C2 = C3×Dic5⋊4D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):23C2480,674
(C15×C22⋊C4)⋊24C2 = C5×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4120(C15xC2^2:C4):24C2480,759
(C15×C22⋊C4)⋊25C2 = C5×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):25C2480,760
(C15×C22⋊C4)⋊26C2 = C15×C22≀C2φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4120(C15xC2^2:C4):26C2480,925
(C15×C22⋊C4)⋊27C2 = C15×C4⋊D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):27C2480,926
(C15×C22⋊C4)⋊28C2 = C15×C22.D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):28C2480,928
(C15×C22⋊C4)⋊29C2 = C15×C4.4D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4):29C2480,929
(C15×C22⋊C4)⋊30C2 = D4×C60φ: trivial image240(C15xC2^2:C4):30C2480,923

Non-split extensions G=N.Q with N=C15×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C15×C22⋊C4).1C2 = C22⋊2Dic30φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).1C2480,843
(C15×C22⋊C4).2C2 = C23.8D30φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).2C2480,844
(C15×C22⋊C4).3C2 = C23.15D30φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).3C2480,842
(C15×C22⋊C4).4C2 = C3×Dic5.14D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).4C2480,671
(C15×C22⋊C4).5C2 = C3×C23.D10φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).5C2480,672
(C15×C22⋊C4).6C2 = C5×Dic3.D4φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).6C2480,757
(C15×C22⋊C4).7C2 = C5×C23.8D6φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).7C2480,758
(C15×C22⋊C4).8C2 = C3×C23.11D10φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).8C2480,670
(C15×C22⋊C4).9C2 = C5×C23.16D6φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).9C2480,756
(C15×C22⋊C4).10C2 = C15×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).10C2480,927
(C15×C22⋊C4).11C2 = C15×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C15×C22⋊C4240(C15xC2^2:C4).11C2480,931
(C15×C22⋊C4).12C2 = C15×C42⋊C2φ: trivial image240(C15xC2^2:C4).12C2480,922

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