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Extensions 1→N→G→Q→1 with N=C2×C3⋊D4 and Q=C10

Direct product G=N×Q with N=C2×C3⋊D4 and Q=C10
dρLabelID
C2×C10×C3⋊D4240C2xC10xC3:D4480,1164

Semidirect products G=N:Q with N=C2×C3⋊D4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×C3⋊D4)⋊1C10 = C5×D6⋊D4φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4120(C2xC3:D4):1C10480,761
(C2×C3⋊D4)⋊2C10 = C5×Dic3⋊D4φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4):2C10480,763
(C2×C3⋊D4)⋊3C10 = C5×C12⋊7D4φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4):3C10480,809
(C2×C3⋊D4)⋊4C10 = C5×C23⋊2D6φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4120(C2xC3:D4):4C10480,816
(C2×C3⋊D4)⋊5C10 = C5×D6⋊3D4φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4):5C10480,817
(C2×C3⋊D4)⋊6C10 = C5×C23.14D6φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4):6C10480,818
(C2×C3⋊D4)⋊7C10 = C5×C12⋊3D4φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4):7C10480,819
(C2×C3⋊D4)⋊8C10 = C5×C24⋊4S3φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4120(C2xC3:D4):8C10480,832
(C2×C3⋊D4)⋊9C10 = S3×D4×C10φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4120(C2xC3:D4):9C10480,1154
(C2×C3⋊D4)⋊10C10 = C10×D4⋊2S3φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4):10C10480,1155
(C2×C3⋊D4)⋊11C10 = C5×D4⋊6D6φ: C10/C5 → C2 ⊆ Out C2×C3⋊D41204(C2xC3:D4):11C10480,1156
(C2×C3⋊D4)⋊12C10 = C10×C4○D12φ: trivial image240(C2xC3:D4):12C10480,1153

Non-split extensions G=N.Q with N=C2×C3⋊D4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×C3⋊D4).1C10 = C5×C23.6D6φ: C10/C5 → C2 ⊆ Out C2×C3⋊D41204(C2xC3:D4).1C10480,125
(C2×C3⋊D4).2C10 = C5×Dic3⋊4D4φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4).2C10480,760
(C2×C3⋊D4).3C10 = C5×C23.9D6φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4).3C10480,762
(C2×C3⋊D4).4C10 = C5×C23.11D6φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4).4C10480,764
(C2×C3⋊D4).5C10 = C5×C23.21D6φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4).5C10480,765
(C2×C3⋊D4).6C10 = C5×C23.28D6φ: C10/C5 → C2 ⊆ Out C2×C3⋊D4240(C2xC3:D4).6C10480,808
(C2×C3⋊D4).7C10 = C20×C3⋊D4φ: trivial image240(C2xC3:D4).7C10480,807

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