Extensions 1→N→G→Q→1 with N=C30 and Q=C4

Direct product G=N×Q with N=C30 and Q=C4
dρLabelID
C2×C60120C2xC60120,31

Semidirect products G=N:Q with N=C30 and Q=C4
extensionφ:Q→Aut NdρLabelID
C301C4 = C2×C3⋊F5φ: C4/C1C4 ⊆ Aut C30304C30:1C4120,41
C302C4 = C6×F5φ: C4/C1C4 ⊆ Aut C30304C30:2C4120,40
C303C4 = C2×Dic15φ: C4/C2C2 ⊆ Aut C30120C30:3C4120,29
C304C4 = C6×Dic5φ: C4/C2C2 ⊆ Aut C30120C30:4C4120,19
C305C4 = C10×Dic3φ: C4/C2C2 ⊆ Aut C30120C30:5C4120,24

Non-split extensions G=N.Q with N=C30 and Q=C4
extensionφ:Q→Aut NdρLabelID
C30.1C4 = C15⋊C8φ: C4/C1C4 ⊆ Aut C301204C30.1C4120,7
C30.2C4 = C3×C5⋊C8φ: C4/C1C4 ⊆ Aut C301204C30.2C4120,6
C30.3C4 = C153C8φ: C4/C2C2 ⊆ Aut C301202C30.3C4120,3
C30.4C4 = C3×C52C8φ: C4/C2C2 ⊆ Aut C301202C30.4C4120,2
C30.5C4 = C5×C3⋊C8φ: C4/C2C2 ⊆ Aut C301202C30.5C4120,1

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