# Extensions 1→N→G→Q→1 with N=C2×C24 and Q=D5

Direct product G=N×Q with N=C2×C24 and Q=D5
dρLabelID
D5×C2×C24240D5xC2xC24480,692

Semidirect products G=N:Q with N=C2×C24 and Q=D5
extensionφ:Q→Aut NdρLabelID
(C2×C24)⋊1D5 = C3×D101C8φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):1D5480,98
(C2×C24)⋊2D5 = C3×D205C4φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):2D5480,99
(C2×C24)⋊3D5 = D303C8φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):3D5480,180
(C2×C24)⋊4D5 = D608C4φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):4D5480,181
(C2×C24)⋊5D5 = C2×D120φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):5D5480,868
(C2×C24)⋊6D5 = C40.69D6φ: D5/C5C2 ⊆ Aut C2×C242402(C2xC24):6D5480,869
(C2×C24)⋊7D5 = C2×C24⋊D5φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):7D5480,867
(C2×C24)⋊8D5 = C6×D40φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):8D5480,696
(C2×C24)⋊9D5 = C3×D407C2φ: D5/C5C2 ⊆ Aut C2×C242402(C2xC24):9D5480,697
(C2×C24)⋊10D5 = C2×C8×D15φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):10D5480,864
(C2×C24)⋊11D5 = C2×C40⋊S3φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):11D5480,865
(C2×C24)⋊12D5 = D60.6C4φ: D5/C5C2 ⊆ Aut C2×C242402(C2xC24):12D5480,866
(C2×C24)⋊13D5 = C6×C40⋊C2φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):13D5480,695
(C2×C24)⋊14D5 = C6×C8⋊D5φ: D5/C5C2 ⊆ Aut C2×C24240(C2xC24):14D5480,693
(C2×C24)⋊15D5 = C3×D20.3C4φ: D5/C5C2 ⊆ Aut C2×C242402(C2xC24):15D5480,694

Non-split extensions G=N.Q with N=C2×C24 and Q=D5
extensionφ:Q→Aut NdρLabelID
(C2×C24).1D5 = C3×C20.8Q8φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).1D5480,92
(C2×C24).2D5 = C3×C20.44D4φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).2D5480,94
(C2×C24).3D5 = C60.26Q8φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).3D5480,174
(C2×C24).4D5 = Dic308C4φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).4D5480,176
(C2×C24).5D5 = C1209C4φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).5D5480,178
(C2×C24).6D5 = C2×Dic60φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).6D5480,870
(C2×C24).7D5 = C4.18D60φ: D5/C5C2 ⊆ Aut C2×C242402(C2xC24).7D5480,179
(C2×C24).8D5 = C12010C4φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).8D5480,177
(C2×C24).9D5 = C3×C405C4φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).9D5480,96
(C2×C24).10D5 = C6×Dic20φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).10D5480,698
(C2×C24).11D5 = C3×C40.6C4φ: D5/C5C2 ⊆ Aut C2×C242402(C2xC24).11D5480,97
(C2×C24).12D5 = C2×C153C16φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).12D5480,171
(C2×C24).13D5 = C60.7C8φ: D5/C5C2 ⊆ Aut C2×C242402(C2xC24).13D5480,172
(C2×C24).14D5 = C8×Dic15φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).14D5480,173
(C2×C24).15D5 = C12013C4φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).15D5480,175
(C2×C24).16D5 = C3×C406C4φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).16D5480,95
(C2×C24).17D5 = C3×C20.4C8φ: D5/C5C2 ⊆ Aut C2×C242402(C2xC24).17D5480,90
(C2×C24).18D5 = C3×C408C4φ: D5/C5C2 ⊆ Aut C2×C24480(C2xC24).18D5480,93
(C2×C24).19D5 = C6×C52C16central extension (φ=1)480(C2xC24).19D5480,89
(C2×C24).20D5 = Dic5×C24central extension (φ=1)480(C2xC24).20D5480,91

׿
×
𝔽