# Extensions 1→N→G→Q→1 with N=C5×C15 and Q=C4

Direct product G=N×Q with N=C5×C15 and Q=C4
dρLabelID
C5×C60300C5xC60300,21

Semidirect products G=N:Q with N=C5×C15 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C5×C15)⋊1C4 = D5.D15φ: C4/C1C4 ⊆ Aut C5×C15604(C5xC15):1C4300,33
(C5×C15)⋊2C4 = C5×C3⋊F5φ: C4/C1C4 ⊆ Aut C5×C15604(C5xC15):2C4300,32
(C5×C15)⋊3C4 = C15⋊F5φ: C4/C1C4 ⊆ Aut C5×C1575(C5xC15):3C4300,34
(C5×C15)⋊4C4 = C152F5φ: C4/C1C4 ⊆ Aut C5×C15304(C5xC15):4C4300,35
(C5×C15)⋊5C4 = C15×F5φ: C4/C1C4 ⊆ Aut C5×C15604(C5xC15):5C4300,28
(C5×C15)⋊6C4 = C3×D5.D5φ: C4/C1C4 ⊆ Aut C5×C15604(C5xC15):6C4300,29
(C5×C15)⋊7C4 = C3×C5⋊F5φ: C4/C1C4 ⊆ Aut C5×C1575(C5xC15):7C4300,30
(C5×C15)⋊8C4 = C3×C52⋊C4φ: C4/C1C4 ⊆ Aut C5×C15304(C5xC15):8C4300,31
(C5×C15)⋊9C4 = C30.D5φ: C4/C2C2 ⊆ Aut C5×C15300(C5xC15):9C4300,20
(C5×C15)⋊10C4 = C5×Dic15φ: C4/C2C2 ⊆ Aut C5×C15602(C5xC15):10C4300,19
(C5×C15)⋊11C4 = C15×Dic5φ: C4/C2C2 ⊆ Aut C5×C15602(C5xC15):11C4300,16
(C5×C15)⋊12C4 = C3×C526C4φ: C4/C2C2 ⊆ Aut C5×C15300(C5xC15):12C4300,17
(C5×C15)⋊13C4 = Dic3×C52φ: C4/C2C2 ⊆ Aut C5×C15300(C5xC15):13C4300,18

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