Extensions 1→N→G→Q→1 with N=C5×D24 and Q=C2

Direct product G=N×Q with N=C5×D24 and Q=C2
dρLabelID
C10×D24240C10xD24480,782

Semidirect products G=N:Q with N=C5×D24 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D24)⋊1C2 = C5⋊D48φ: C2/C1C2 ⊆ Out C5×D242404+(C5xD24):1C2480,15
(C5×D24)⋊2C2 = D5×D24φ: C2/C1C2 ⊆ Out C5×D241204+(C5xD24):2C2480,324
(C5×D24)⋊3C2 = D247D5φ: C2/C1C2 ⊆ Out C5×D242404-(C5xD24):3C2480,346
(C5×D24)⋊4C2 = D24⋊D5φ: C2/C1C2 ⊆ Out C5×D241204(C5xD24):4C2480,326
(C5×D24)⋊5C2 = C15⋊D16φ: C2/C1C2 ⊆ Out C5×D242404(C5xD24):5C2480,13
(C5×D24)⋊6C2 = C405D6φ: C2/C1C2 ⊆ Out C5×D241204(C5xD24):6C2480,332
(C5×D24)⋊7C2 = D245D5φ: C2/C1C2 ⊆ Out C5×D242404(C5xD24):7C2480,355
(C5×D24)⋊8C2 = D246D5φ: C2/C1C2 ⊆ Out C5×D241204(C5xD24):8C2480,333
(C5×D24)⋊9C2 = C5×D48φ: C2/C1C2 ⊆ Out C5×D242402(C5xD24):9C2480,118
(C5×D24)⋊10C2 = C5×C8⋊D6φ: C2/C1C2 ⊆ Out C5×D241204(C5xD24):10C2480,787
(C5×D24)⋊11C2 = C5×C3⋊D16φ: C2/C1C2 ⊆ Out C5×D242404(C5xD24):11C2480,145
(C5×D24)⋊12C2 = C5×S3×D8φ: C2/C1C2 ⊆ Out C5×D241204(C5xD24):12C2480,789
(C5×D24)⋊13C2 = C5×D24⋊C2φ: C2/C1C2 ⊆ Out C5×D242404(C5xD24):13C2480,798
(C5×D24)⋊14C2 = C5×Q83D6φ: C2/C1C2 ⊆ Out C5×D241204(C5xD24):14C2480,793
(C5×D24)⋊15C2 = C5×C4○D24φ: trivial image2402(C5xD24):15C2480,783

Non-split extensions G=N.Q with N=C5×D24 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D24).1C2 = D24.D5φ: C2/C1C2 ⊆ Out C5×D242404-(C5xD24).1C2480,20
(C5×D24).2C2 = C15⋊SD32φ: C2/C1C2 ⊆ Out C5×D242404(C5xD24).2C2480,17
(C5×D24).3C2 = C5×C48⋊C2φ: C2/C1C2 ⊆ Out C5×D242402(C5xD24).3C2480,119
(C5×D24).4C2 = C5×C8.6D6φ: C2/C1C2 ⊆ Out C5×D242404(C5xD24).4C2480,147

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