# Extensions 1→N→G→Q→1 with N=C3×C32⋊4C8 and Q=C2

Direct product G=N×Q with N=C3×C324C8 and Q=C2
dρLabelID
C6×C324C8144C6xC3^2:4C8432,485

Semidirect products G=N:Q with N=C3×C324C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C324C8)⋊1C2 = C3×S3×C3⋊C8φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8):1C2432,414
(C3×C324C8)⋊2C2 = C337D8φ: C2/C1C2 ⊆ Out C3×C324C872(C3xC3^2:4C8):2C2432,437
(C3×C324C8)⋊3C2 = C339D8φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8):3C2432,457
(C3×C324C8)⋊4C2 = C3314SD16φ: C2/C1C2 ⊆ Out C3×C324C8144(C3xC3^2:4C8):4C2432,441
(C3×C324C8)⋊5C2 = C3315SD16φ: C2/C1C2 ⊆ Out C3×C324C872(C3xC3^2:4C8):5C2432,442
(C3×C324C8)⋊6C2 = C3318SD16φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8):6C2432,458
(C3×C324C8)⋊7C2 = C3×C322D8φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8):7C2432,418
(C3×C324C8)⋊8C2 = C3×C327D8φ: C2/C1C2 ⊆ Out C3×C324C872(C3xC3^2:4C8):8C2432,491
(C3×C324C8)⋊9C2 = S3×C324C8φ: C2/C1C2 ⊆ Out C3×C324C8144(C3xC3^2:4C8):9C2432,430
(C3×C324C8)⋊10C2 = C12.69S32φ: C2/C1C2 ⊆ Out C3×C324C872(C3xC3^2:4C8):10C2432,432
(C3×C324C8)⋊11C2 = C337M4(2)φ: C2/C1C2 ⊆ Out C3×C324C8144(C3xC3^2:4C8):11C2432,433
(C3×C324C8)⋊12C2 = C339M4(2)φ: C2/C1C2 ⊆ Out C3×C324C872(C3xC3^2:4C8):12C2432,435
(C3×C324C8)⋊13C2 = C12.93S32φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8):13C2432,455
(C3×C324C8)⋊14C2 = C3310M4(2)φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8):14C2432,456
(C3×C324C8)⋊15C2 = C3×Dic6⋊S3φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8):15C2432,420
(C3×C324C8)⋊16C2 = C3×C329SD16φ: C2/C1C2 ⊆ Out C3×C324C872(C3xC3^2:4C8):16C2432,492
(C3×C324C8)⋊17C2 = C3×C3211SD16φ: C2/C1C2 ⊆ Out C3×C324C8144(C3xC3^2:4C8):17C2432,493
(C3×C324C8)⋊18C2 = C3×D6.Dic3φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8):18C2432,416
(C3×C324C8)⋊19C2 = C3×C24⋊S3φ: C2/C1C2 ⊆ Out C3×C324C8144(C3xC3^2:4C8):19C2432,481
(C3×C324C8)⋊20C2 = C3×C12.58D6φ: C2/C1C2 ⊆ Out C3×C324C872(C3xC3^2:4C8):20C2432,486
(C3×C324C8)⋊21C2 = C3⋊S3×C24φ: trivial image144(C3xC3^2:4C8):21C2432,480

Non-split extensions G=N.Q with N=C3×C324C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C324C8).1C2 = C3×C322C16φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8).1C2432,412
(C3×C324C8).2C2 = C337Q16φ: C2/C1C2 ⊆ Out C3×C324C8144(C3xC3^2:4C8).2C2432,446
(C3×C324C8).3C2 = C339Q16φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8).3C2432,459
(C3×C324C8).4C2 = C3×C322Q16φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8).4C2432,423
(C3×C324C8).5C2 = C3×C327Q16φ: C2/C1C2 ⊆ Out C3×C324C8144(C3xC3^2:4C8).5C2432,494
(C3×C324C8).6C2 = C334C16φ: C2/C1C2 ⊆ Out C3×C324C8484(C3xC3^2:4C8).6C2432,413

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