# Extensions 1→N→G→Q→1 with N=C3×C22⋊C4 and Q=C10

Direct product G=N×Q with N=C3×C22⋊C4 and Q=C10
dρLabelID
C22⋊C4×C30240C2^2:C4xC30480,920

Semidirect products G=N:Q with N=C3×C22⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C3×C22⋊C4)⋊1C10 = C5×C23.6D6φ: C10/C5C2 ⊆ Out C3×C22⋊C41204(C3xC2^2:C4):1C10480,125
(C3×C22⋊C4)⋊2C10 = C15×C23⋊C4φ: C10/C5C2 ⊆ Out C3×C22⋊C41204(C3xC2^2:C4):2C10480,202
(C3×C22⋊C4)⋊3C10 = C5×D6⋊D4φ: C10/C5C2 ⊆ Out C3×C22⋊C4120(C3xC2^2:C4):3C10480,761
(C3×C22⋊C4)⋊4C10 = C5×C23.21D6φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4):4C10480,765
(C3×C22⋊C4)⋊5C10 = C5×C23.9D6φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4):5C10480,762
(C3×C22⋊C4)⋊6C10 = C5×Dic3⋊D4φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4):6C10480,763
(C3×C22⋊C4)⋊7C10 = C5×C23.11D6φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4):7C10480,764
(C3×C22⋊C4)⋊8C10 = C5×S3×C22⋊C4φ: C10/C5C2 ⊆ Out C3×C22⋊C4120(C3xC2^2:C4):8C10480,759
(C3×C22⋊C4)⋊9C10 = C5×Dic34D4φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4):9C10480,760
(C3×C22⋊C4)⋊10C10 = C15×C22≀C2φ: C10/C5C2 ⊆ Out C3×C22⋊C4120(C3xC2^2:C4):10C10480,925
(C3×C22⋊C4)⋊11C10 = C15×C4⋊D4φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4):11C10480,926
(C3×C22⋊C4)⋊12C10 = C15×C22.D4φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4):12C10480,928
(C3×C22⋊C4)⋊13C10 = C15×C4.4D4φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4):13C10480,929
(C3×C22⋊C4)⋊14C10 = D4×C60φ: trivial image240(C3xC2^2:C4):14C10480,923

Non-split extensions G=N.Q with N=C3×C22⋊C4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C3×C22⋊C4).1C10 = C5×Dic3.D4φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4).1C10480,757
(C3×C22⋊C4).2C10 = C5×C23.8D6φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4).2C10480,758
(C3×C22⋊C4).3C10 = C5×C23.16D6φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4).3C10480,756
(C3×C22⋊C4).4C10 = C15×C22⋊Q8φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4).4C10480,927
(C3×C22⋊C4).5C10 = C15×C422C2φ: C10/C5C2 ⊆ Out C3×C22⋊C4240(C3xC2^2:C4).5C10480,931
(C3×C22⋊C4).6C10 = C15×C42⋊C2φ: trivial image240(C3xC2^2:C4).6C10480,922

׿
×
𝔽