# Extensions 1→N→G→Q→1 with N=C23×C10 and Q=C6

Direct product G=N×Q with N=C23×C10 and Q=C6
dρLabelID
C24×C30480C2^4xC30480,1213

Semidirect products G=N:Q with N=C23×C10 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C23×C10)⋊1C6 = C5×C24⋊C6φ: C6/C1C6 ⊆ Aut C23×C10406(C2^3xC10):1C6480,656
(C23×C10)⋊2C6 = C5×D4×A4φ: C6/C1C6 ⊆ Aut C23×C10606(C2^3xC10):2C6480,1127
(C23×C10)⋊3C6 = (C22×D5)⋊A4φ: C6/C1C6 ⊆ Aut C23×C10406(C2^3xC10):3C6480,268
(C23×C10)⋊4C6 = A4×C5⋊D4φ: C6/C1C6 ⊆ Aut C23×C10606(C2^3xC10):4C6480,1045
(C23×C10)⋊5C6 = C22×D5×A4φ: C6/C1C6 ⊆ Aut C23×C1060(C2^3xC10):5C6480,1202
(C23×C10)⋊6C6 = D5×C22⋊A4φ: C6/C1C6 ⊆ Aut C23×C1060(C2^3xC10):6C6480,1203
(C23×C10)⋊7C6 = A4×C22×C10φ: C6/C2C3 ⊆ Aut C23×C10120(C2^3xC10):7C6480,1208
(C23×C10)⋊8C6 = C10×C22⋊A4φ: C6/C2C3 ⊆ Aut C23×C1060(C2^3xC10):8C6480,1209
(C23×C10)⋊9C6 = C15×C22≀C2φ: C6/C3C2 ⊆ Aut C23×C10120(C2^3xC10):9C6480,925
(C23×C10)⋊10C6 = D4×C2×C30φ: C6/C3C2 ⊆ Aut C23×C10240(C2^3xC10):10C6480,1181
(C23×C10)⋊11C6 = C3×C242D5φ: C6/C3C2 ⊆ Aut C23×C10120(C2^3xC10):11C6480,746
(C23×C10)⋊12C6 = C2×C6×C5⋊D4φ: C6/C3C2 ⊆ Aut C23×C10240(C2^3xC10):12C6480,1149
(C23×C10)⋊13C6 = D5×C23×C6φ: C6/C3C2 ⊆ Aut C23×C10240(C2^3xC10):13C6480,1210

Non-split extensions G=N.Q with N=C23×C10 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C23×C10).C6 = C2×A4×Dic5φ: C6/C1C6 ⊆ Aut C23×C10120(C2^3xC10).C6480,1044
(C23×C10).2C6 = A4×C2×C20φ: C6/C2C3 ⊆ Aut C23×C10120(C2^3xC10).2C6480,1126
(C23×C10).3C6 = C22⋊C4×C30φ: C6/C3C2 ⊆ Aut C23×C10240(C2^3xC10).3C6480,920
(C23×C10).4C6 = C6×C23.D5φ: C6/C3C2 ⊆ Aut C23×C10240(C2^3xC10).4C6480,745
(C23×C10).5C6 = Dic5×C22×C6φ: C6/C3C2 ⊆ Aut C23×C10480(C2^3xC10).5C6480,1148

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