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Extensions 1→N→G→Q→1 with N=C22×C30 and Q=C4

Direct product G=N×Q with N=C22×C30 and Q=C4
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C22×C30 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C30)⋊1C4 = C15×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30):1C4480,202
(C22×C30)⋊2C4 = C23.7D30φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30):2C4480,194
(C22×C30)⋊3C4 = C3×C23⋊Dic5φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30):3C4480,112
(C22×C30)⋊4C4 = C3⋊(C23⋊F5)φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30):4C4480,316
(C22×C30)⋊5C4 = C2×D10.D6φ: C4/C1 → C4 ⊆ Aut C22×C30120(C2^2xC30):5C4480,1072
(C22×C30)⋊6C4 = C23×C3⋊F5φ: C4/C1 → C4 ⊆ Aut C22×C30120(C2^2xC30):6C4480,1206
(C22×C30)⋊7C4 = C3×C23⋊F5φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30):7C4480,291
(C22×C30)⋊8C4 = C6×C22⋊F5φ: C4/C1 → C4 ⊆ Aut C22×C30120(C2^2xC30):8C4480,1059
(C22×C30)⋊9C4 = F5×C22×C6φ: C4/C1 → C4 ⊆ Aut C22×C30120(C2^2xC30):9C4480,1205
(C22×C30)⋊10C4 = C5×C23.7D6φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30):10C4480,153
(C22×C30)⋊11C4 = C22⋊C4×C30φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30):11C4480,920
(C22×C30)⋊12C4 = C2×C30.38D4φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30):12C4480,917
(C22×C30)⋊13C4 = C23×Dic15φ: C4/C2 → C2 ⊆ Aut C22×C30480(C2^2xC30):13C4480,1178
(C22×C30)⋊14C4 = C6×C23.D5φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30):14C4480,745
(C22×C30)⋊15C4 = Dic5×C22×C6φ: C4/C2 → C2 ⊆ Aut C22×C30480(C2^2xC30):15C4480,1148
(C22×C30)⋊16C4 = C10×C6.D4φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30):16C4480,831
(C22×C30)⋊17C4 = Dic3×C22×C10φ: C4/C2 → C2 ⊆ Aut C22×C30480(C2^2xC30):17C4480,1163

Non-split extensions G=N.Q with N=C22×C30 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C22×C30).1C4 = C15×C4.D4φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30).1C4480,203
(C22×C30).2C4 = C60.8D4φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30).2C4480,193
(C22×C30).3C4 = C3×C20.D4φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30).3C4480,111
(C22×C30).4C4 = C30.22M4(2)φ: C4/C1 → C4 ⊆ Aut C22×C30240(C2^2xC30).4C4480,317
(C22×C30).5C4 = C5⋊(C12.D4)φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30).5C4480,318
(C22×C30).6C4 = C22×C15⋊C8φ: C4/C1 → C4 ⊆ Aut C22×C30480(C2^2xC30).6C4480,1070
(C22×C30).7C4 = C2×C15⋊8M4(2)φ: C4/C1 → C4 ⊆ Aut C22×C30240(C2^2xC30).7C4480,1071
(C22×C30).8C4 = C3×C23.2F5φ: C4/C1 → C4 ⊆ Aut C22×C30240(C2^2xC30).8C4480,292
(C22×C30).9C4 = C3×C23.F5φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30).9C4480,293
(C22×C30).10C4 = C2×C6×C5⋊C8φ: C4/C1 → C4 ⊆ Aut C22×C30480(C2^2xC30).10C4480,1057
(C22×C30).11C4 = C6×C22.F5φ: C4/C1 → C4 ⊆ Aut C22×C30240(C2^2xC30).11C4480,1058
(C22×C30).12C4 = C5×C12.D4φ: C4/C1 → C4 ⊆ Aut C22×C301204(C2^2xC30).12C4480,152
(C22×C30).13C4 = C15×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30).13C4480,201
(C22×C30).14C4 = M4(2)×C30φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30).14C4480,935
(C22×C30).15C4 = C60.212D4φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30).15C4480,190
(C22×C30).16C4 = C22×C15⋊3C8φ: C4/C2 → C2 ⊆ Aut C22×C30480(C2^2xC30).16C4480,885
(C22×C30).17C4 = C2×C60.7C4φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30).17C4480,886
(C22×C30).18C4 = C3×C20.55D4φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30).18C4480,108
(C22×C30).19C4 = C2×C6×C5⋊2C8φ: C4/C2 → C2 ⊆ Aut C22×C30480(C2^2xC30).19C4480,713
(C22×C30).20C4 = C6×C4.Dic5φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30).20C4480,714
(C22×C30).21C4 = C5×C12.55D4φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30).21C4480,149
(C22×C30).22C4 = C2×C10×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C22×C30480(C2^2xC30).22C4480,799
(C22×C30).23C4 = C10×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C22×C30240(C2^2xC30).23C4480,800

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