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Extensions 1→N→G→Q→1 with N=C3×C5⋊2C16 and Q=C2

Direct product G=N×Q with N=C3×C5⋊2C16 and Q=C2
dρLabelID
C6×C5⋊2C16480C6xC5:2C16480,89

Semidirect products G=N:Q with N=C3×C5⋊2C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C5⋊2C16)⋊1C2 = C5⋊D48φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404+(C3xC5:2C16):1C2480,15
(C3×C5⋊2C16)⋊2C2 = D24.D5φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404-(C3xC5:2C16):2C2480,20
(C3×C5⋊2C16)⋊3C2 = Dic12⋊D5φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404+(C3xC5:2C16):3C2480,21
(C3×C5⋊2C16)⋊4C2 = C3×C5⋊D16φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404(C3xC5:2C16):4C2480,104
(C3×C5⋊2C16)⋊5C2 = C3×D8.D5φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404(C3xC5:2C16):5C2480,105
(C3×C5⋊2C16)⋊6C2 = C3×C5⋊SD32φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404(C3xC5:2C16):6C2480,106
(C3×C5⋊2C16)⋊7C2 = S3×C5⋊2C16φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404(C3xC5:2C16):7C2480,8
(C3×C5⋊2C16)⋊8C2 = D15⋊2C16φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404(C3xC5:2C16):8C2480,9
(C3×C5⋊2C16)⋊9C2 = C40.52D6φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404(C3xC5:2C16):9C2480,11
(C3×C5⋊2C16)⋊10C2 = D30.5C8φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162404(C3xC5:2C16):10C2480,12
(C3×C5⋊2C16)⋊11C2 = C3×C80⋊C2φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162402(C3xC5:2C16):11C2480,76
(C3×C5⋊2C16)⋊12C2 = C3×C20.4C8φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C162402(C3xC5:2C16):12C2480,90
(C3×C5⋊2C16)⋊13C2 = D5×C48φ: trivial image2402(C3xC5:2C16):13C2480,75

Non-split extensions G=N.Q with N=C3×C5⋊2C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C5⋊2C16).1C2 = C5⋊Dic24φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C164804-(C3xC5:2C16).1C2480,24
(C3×C5⋊2C16).2C2 = C3×C5⋊Q32φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C164804(C3xC5:2C16).2C2480,107
(C3×C5⋊2C16).3C2 = C15⋊C32φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C164804(C3xC5:2C16).3C2480,6
(C3×C5⋊2C16).4C2 = C3×C5⋊C32φ: C2/C1 → C2 ⊆ Out C3×C5⋊2C164804(C3xC5:2C16).4C2480,5

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