Extensions 1→N→G→Q→1 with N=C2×D4 and Q=C30

Direct product G=N×Q with N=C2×D4 and Q=C30
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C2×D4 and Q=C30
extensionφ:Q→Out NdρLabelID
(C2×D4)⋊1C30 = C15×C22≀C2φ: C30/C15C2 ⊆ Out C2×D4120(C2xD4):1C30480,925
(C2×D4)⋊2C30 = C15×C4⋊D4φ: C30/C15C2 ⊆ Out C2×D4240(C2xD4):2C30480,926
(C2×D4)⋊3C30 = C15×C41D4φ: C30/C15C2 ⊆ Out C2×D4240(C2xD4):3C30480,932
(C2×D4)⋊4C30 = D8×C30φ: C30/C15C2 ⊆ Out C2×D4240(C2xD4):4C30480,937
(C2×D4)⋊5C30 = C15×C8⋊C22φ: C30/C15C2 ⊆ Out C2×D41204(C2xD4):5C30480,941
(C2×D4)⋊6C30 = C15×2+ 1+4φ: C30/C15C2 ⊆ Out C2×D41204(C2xD4):6C30480,1184
(C2×D4)⋊7C30 = C4○D4×C30φ: trivial image240(C2xD4):7C30480,1183

Non-split extensions G=N.Q with N=C2×D4 and Q=C30
extensionφ:Q→Out NdρLabelID
(C2×D4).1C30 = C15×C23⋊C4φ: C30/C15C2 ⊆ Out C2×D41204(C2xD4).1C30480,202
(C2×D4).2C30 = C15×C4.D4φ: C30/C15C2 ⊆ Out C2×D41204(C2xD4).2C30480,203
(C2×D4).3C30 = C15×D4⋊C4φ: C30/C15C2 ⊆ Out C2×D4240(C2xD4).3C30480,205
(C2×D4).4C30 = C15×C22.D4φ: C30/C15C2 ⊆ Out C2×D4240(C2xD4).4C30480,928
(C2×D4).5C30 = C15×C4.4D4φ: C30/C15C2 ⊆ Out C2×D4240(C2xD4).5C30480,929
(C2×D4).6C30 = SD16×C30φ: C30/C15C2 ⊆ Out C2×D4240(C2xD4).6C30480,938
(C2×D4).7C30 = D4×C60φ: trivial image240(C2xD4).7C30480,923

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