# Extensions 1→N→G→Q→1 with N=D5×C2×C10 and Q=C2

Direct product G=N×Q with N=D5×C2×C10 and Q=C2
dρLabelID
D5×C22×C1080D5xC2^2xC10400,219

Semidirect products G=N:Q with N=D5×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C2×C10)⋊1C2 = C2×C522D4φ: C2/C1C2 ⊆ Out D5×C2×C1080(D5xC2xC10):1C2400,176
(D5×C2×C10)⋊2C2 = C2×C5⋊D20φ: C2/C1C2 ⊆ Out D5×C2×C1040(D5xC2xC10):2C2400,177
(D5×C2×C10)⋊3C2 = D5×C5⋊D4φ: C2/C1C2 ⊆ Out D5×C2×C10404(D5xC2xC10):3C2400,179
(D5×C2×C10)⋊4C2 = C10×D20φ: C2/C1C2 ⊆ Out D5×C2×C1080(D5xC2xC10):4C2400,183
(D5×C2×C10)⋊5C2 = C5×D4×D5φ: C2/C1C2 ⊆ Out D5×C2×C10404(D5xC2xC10):5C2400,185
(D5×C2×C10)⋊6C2 = C10×C5⋊D4φ: C2/C1C2 ⊆ Out D5×C2×C1040(D5xC2xC10):6C2400,190
(D5×C2×C10)⋊7C2 = C22×D52φ: C2/C1C2 ⊆ Out D5×C2×C1040(D5xC2xC10):7C2400,218

Non-split extensions G=N.Q with N=D5×C2×C10 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C2×C10).1C2 = D10⋊Dic5φ: C2/C1C2 ⊆ Out D5×C2×C1080(D5xC2xC10).1C2400,72
(D5×C2×C10).2C2 = C5×D10⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C1080(D5xC2xC10).2C2400,86
(D5×C2×C10).3C2 = C2×D5×Dic5φ: C2/C1C2 ⊆ Out D5×C2×C1080(D5xC2xC10).3C2400,172
(D5×C2×C10).4C2 = C5×C22⋊F5φ: C2/C1C2 ⊆ Out D5×C2×C10404(D5xC2xC10).4C2400,141
(D5×C2×C10).5C2 = D10.D10φ: C2/C1C2 ⊆ Out D5×C2×C10404(D5xC2xC10).5C2400,148
(D5×C2×C10).6C2 = F5×C2×C10φ: C2/C1C2 ⊆ Out D5×C2×C1080(D5xC2xC10).6C2400,214
(D5×C2×C10).7C2 = C22×D5.D5φ: C2/C1C2 ⊆ Out D5×C2×C1080(D5xC2xC10).7C2400,215
(D5×C2×C10).8C2 = D5×C2×C20φ: trivial image80(D5xC2xC10).8C2400,182

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