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

Direct product G=N×Q with N=C3×C3⋊C16 and Q=C2
dρLabelID
C6×C3⋊C1696C6xC3:C16288,245

Semidirect products G=N:Q with N=C3×C3⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C16)⋊1C2 = C3⋊D48φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16484+(C3xC3:C16):1C2288,194
(C3×C3⋊C16)⋊2C2 = C32⋊3SD32φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16964-(C3xC3:C16):2C2288,196
(C3×C3⋊C16)⋊3C2 = C24.49D6φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16484+(C3xC3:C16):3C2288,197
(C3×C3⋊C16)⋊4C2 = C3×C3⋊D16φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16484(C3xC3:C16):4C2288,260
(C3×C3⋊C16)⋊5C2 = C3×D8.S3φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16484(C3xC3:C16):5C2288,261
(C3×C3⋊C16)⋊6C2 = C3×C8.6D6φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16964(C3xC3:C16):6C2288,262
(C3×C3⋊C16)⋊7C2 = S3×C3⋊C16φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16964(C3xC3:C16):7C2288,189
(C3×C3⋊C16)⋊8C2 = C24.60D6φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16484(C3xC3:C16):8C2288,190
(C3×C3⋊C16)⋊9C2 = C24.61D6φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16964(C3xC3:C16):9C2288,191
(C3×C3⋊C16)⋊10C2 = C24.62D6φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16484(C3xC3:C16):10C2288,192
(C3×C3⋊C16)⋊11C2 = C3×D6.C8φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16962(C3xC3:C16):11C2288,232
(C3×C3⋊C16)⋊12C2 = C3×C12.C8φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16482(C3xC3:C16):12C2288,246
(C3×C3⋊C16)⋊13C2 = S3×C48φ: trivial image962(C3xC3:C16):13C2288,231

Non-split extensions G=N.Q with N=C3×C3⋊C16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C3⋊C16).1C2 = C32⋊3Q32φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16964-(C3xC3:C16).1C2288,199
(C3×C3⋊C16).2C2 = C3×C3⋊Q32φ: C2/C1 → C2 ⊆ Out C3×C3⋊C16964(C3xC3:C16).2C2288,263

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