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Extensions 1→N→G→Q→1 with N=C5×C3⋊C16 and Q=C2

Direct product G=N×Q with N=C5×C3⋊C16 and Q=C2
dρLabelID
C10×C3⋊C16480C10xC3:C16480,130

Semidirect products G=N:Q with N=C5×C3⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C3⋊C16)⋊1C2 = C3⋊D80φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404+(C5xC3:C16):1C2480,14
(C5×C3⋊C16)⋊2C2 = D40.S3φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404-(C5xC3:C16):2C2480,18
(C5×C3⋊C16)⋊3C2 = C24.D10φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404+(C5xC3:C16):3C2480,19
(C5×C3⋊C16)⋊4C2 = D5×C3⋊C16φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404(C5xC3:C16):4C2480,7
(C5×C3⋊C16)⋊5C2 = D15⋊2C16φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404(C5xC3:C16):5C2480,9
(C5×C3⋊C16)⋊6C2 = C40.51D6φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404(C5xC3:C16):6C2480,10
(C5×C3⋊C16)⋊7C2 = D30.5C8φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404(C5xC3:C16):7C2480,12
(C5×C3⋊C16)⋊8C2 = C5×C3⋊D16φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404(C5xC3:C16):8C2480,145
(C5×C3⋊C16)⋊9C2 = C5×D8.S3φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404(C5xC3:C16):9C2480,146
(C5×C3⋊C16)⋊10C2 = C5×C8.6D6φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162404(C5xC3:C16):10C2480,147
(C5×C3⋊C16)⋊11C2 = C5×D6.C8φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162402(C5xC3:C16):11C2480,117
(C5×C3⋊C16)⋊12C2 = C5×C12.C8φ: C2/C1 → C2 ⊆ Out C5×C3⋊C162402(C5xC3:C16):12C2480,131
(C5×C3⋊C16)⋊13C2 = S3×C80φ: trivial image2402(C5xC3:C16):13C2480,116

Non-split extensions G=N.Q with N=C5×C3⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C3⋊C16).1C2 = C3⋊Dic40φ: C2/C1 → C2 ⊆ Out C5×C3⋊C164804-(C5xC3:C16).1C2480,23
(C5×C3⋊C16).2C2 = C5×C3⋊Q32φ: C2/C1 → C2 ⊆ Out C5×C3⋊C164804(C5xC3:C16).2C2480,148

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