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Extensions 1→N→G→Q→1 with N=C5×C22⋊C4 and Q=C6

Direct product G=N×Q with N=C5×C22⋊C4 and Q=C6
dρLabelID
C22⋊C4×C30240C2^2:C4xC30480,920

Semidirect products G=N:Q with N=C5×C22⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C4)⋊1C6 = C3×C23.1D10φ: C6/C3 → C2 ⊆ Out C5×C22⋊C41204(C5xC2^2:C4):1C6480,84
(C5×C22⋊C4)⋊2C6 = C15×C23⋊C4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C41204(C5xC2^2:C4):2C6480,202
(C5×C22⋊C4)⋊3C6 = C3×C22⋊D20φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4120(C5xC2^2:C4):3C6480,675
(C5×C22⋊C4)⋊4C6 = C3×C22.D20φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):4C6480,679
(C5×C22⋊C4)⋊5C6 = C3×D10.12D4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):5C6480,676
(C5×C22⋊C4)⋊6C6 = C3×D10⋊D4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):6C6480,677
(C5×C22⋊C4)⋊7C6 = C3×Dic5.5D4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):7C6480,678
(C5×C22⋊C4)⋊8C6 = C3×D5×C22⋊C4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4120(C5xC2^2:C4):8C6480,673
(C5×C22⋊C4)⋊9C6 = C3×Dic5⋊4D4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):9C6480,674
(C5×C22⋊C4)⋊10C6 = C15×C22≀C2φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4120(C5xC2^2:C4):10C6480,925
(C5×C22⋊C4)⋊11C6 = C15×C4⋊D4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):11C6480,926
(C5×C22⋊C4)⋊12C6 = C15×C22.D4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):12C6480,928
(C5×C22⋊C4)⋊13C6 = C15×C4.4D4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4):13C6480,929
(C5×C22⋊C4)⋊14C6 = D4×C60φ: trivial image240(C5xC2^2:C4):14C6480,923

Non-split extensions G=N.Q with N=C5×C22⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C4).1C6 = C3×Dic5.14D4φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).1C6480,671
(C5×C22⋊C4).2C6 = C3×C23.D10φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).2C6480,672
(C5×C22⋊C4).3C6 = C3×C23.11D10φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).3C6480,670
(C5×C22⋊C4).4C6 = C15×C22⋊Q8φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).4C6480,927
(C5×C22⋊C4).5C6 = C15×C42⋊2C2φ: C6/C3 → C2 ⊆ Out C5×C22⋊C4240(C5xC2^2:C4).5C6480,931
(C5×C22⋊C4).6C6 = C15×C42⋊C2φ: trivial image240(C5xC2^2:C4).6C6480,922

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