# Extensions 1→N→G→Q→1 with N=C3×C32⋊4Q8 and Q=C2

Direct product G=N×Q with N=C3×C324Q8 and Q=C2
dρLabelID
C6×C324Q8144C6xC3^2:4Q8432,710

Semidirect products G=N:Q with N=C3×C324Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C324Q8)⋊1C2 = C3×D12.S3φ: C2/C1C2 ⊆ Out C3×C324Q8484(C3xC3^2:4Q8):1C2432,421
(C3×C324Q8)⋊2C2 = C3312SD16φ: C2/C1C2 ⊆ Out C3×C324Q8144(C3xC3^2:4Q8):2C2432,439
(C3×C324Q8)⋊3C2 = C3317SD16φ: C2/C1C2 ⊆ Out C3×C324Q872(C3xC3^2:4Q8):3C2432,444
(C3×C324Q8)⋊4C2 = C3318SD16φ: C2/C1C2 ⊆ Out C3×C324Q8484(C3xC3^2:4Q8):4C2432,458
(C3×C324Q8)⋊5C2 = C3×C329SD16φ: C2/C1C2 ⊆ Out C3×C324Q872(C3xC3^2:4Q8):5C2432,492
(C3×C324Q8)⋊6C2 = C3×S3×Dic6φ: C2/C1C2 ⊆ Out C3×C324Q8484(C3xC3^2:4Q8):6C2432,642
(C3×C324Q8)⋊7C2 = C3×D125S3φ: C2/C1C2 ⊆ Out C3×C324Q8484(C3xC3^2:4Q8):7C2432,643
(C3×C324Q8)⋊8C2 = S3×C324Q8φ: C2/C1C2 ⊆ Out C3×C324Q8144(C3xC3^2:4Q8):8C2432,660
(C3×C324Q8)⋊9C2 = D12⋊(C3⋊S3)φ: C2/C1C2 ⊆ Out C3×C324Q872(C3xC3^2:4Q8):9C2432,662
(C3×C324Q8)⋊10C2 = C329(S3×Q8)φ: C2/C1C2 ⊆ Out C3×C324Q872(C3xC3^2:4Q8):10C2432,666
(C3×C324Q8)⋊11C2 = C12.58S32φ: C2/C1C2 ⊆ Out C3×C324Q872(C3xC3^2:4Q8):11C2432,669
(C3×C324Q8)⋊12C2 = C3⋊S34Dic6φ: C2/C1C2 ⊆ Out C3×C324Q8484(C3xC3^2:4Q8):12C2432,687
(C3×C324Q8)⋊13C2 = C12⋊S312S3φ: C2/C1C2 ⊆ Out C3×C324Q8484(C3xC3^2:4Q8):13C2432,688
(C3×C324Q8)⋊14C2 = C3×C12.D6φ: C2/C1C2 ⊆ Out C3×C324Q872(C3xC3^2:4Q8):14C2432,715
(C3×C324Q8)⋊15C2 = C3×Q8×C3⋊S3φ: C2/C1C2 ⊆ Out C3×C324Q8144(C3xC3^2:4Q8):15C2432,716
(C3×C324Q8)⋊16C2 = C3×C242S3φ: C2/C1C2 ⊆ Out C3×C324Q8144(C3xC3^2:4Q8):16C2432,482
(C3×C324Q8)⋊17C2 = C3×C12.59D6φ: trivial image72(C3xC3^2:4Q8):17C2432,713

Non-split extensions G=N.Q with N=C3×C324Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C324Q8).1C2 = C3×C323Q16φ: C2/C1C2 ⊆ Out C3×C324Q8484(C3xC3^2:4Q8).1C2432,424
(C3×C324Q8).2C2 = C336Q16φ: C2/C1C2 ⊆ Out C3×C324Q8144(C3xC3^2:4Q8).2C2432,445
(C3×C324Q8).3C2 = C338Q16φ: C2/C1C2 ⊆ Out C3×C324Q8144(C3xC3^2:4Q8).3C2432,447
(C3×C324Q8).4C2 = C339Q16φ: C2/C1C2 ⊆ Out C3×C324Q8484(C3xC3^2:4Q8).4C2432,459
(C3×C324Q8).5C2 = C3×C327Q16φ: C2/C1C2 ⊆ Out C3×C324Q8144(C3xC3^2:4Q8).5C2432,494
(C3×C324Q8).6C2 = C3×C325Q16φ: C2/C1C2 ⊆ Out C3×C324Q8144(C3xC3^2:4Q8).6C2432,484

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