Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=Dic3

Direct product G=N×Q with N=C2×Q8 and Q=Dic3
dρLabelID
C2×Q8×Dic3192C2xQ8xDic3192,1370

Semidirect products G=N:Q with N=C2×Q8 and Q=Dic3
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1Dic3 = C2×Q8⋊Dic3φ: Dic3/C2S3 ⊆ Out C2×Q864(C2xQ8):1Dic3192,977
(C2×Q8)⋊2Dic3 = C23.15S4φ: Dic3/C2S3 ⊆ Out C2×Q832(C2xQ8):2Dic3192,979
(C2×Q8)⋊3Dic3 = (C6×Q8)⋊C4φ: Dic3/C3C4 ⊆ Out C2×Q848(C2xQ8):3Dic3192,97
(C2×Q8)⋊4Dic3 = C424Dic3φ: Dic3/C3C4 ⊆ Out C2×Q8484(C2xQ8):4Dic3192,100
(C2×Q8)⋊5Dic3 = C2×Q82Dic3φ: Dic3/C6C2 ⊆ Out C2×Q8192(C2xQ8):5Dic3192,783
(C2×Q8)⋊6Dic3 = (C6×Q8)⋊6C4φ: Dic3/C6C2 ⊆ Out C2×Q896(C2xQ8):6Dic3192,784
(C2×Q8)⋊7Dic3 = (C6×Q8)⋊7C4φ: Dic3/C6C2 ⊆ Out C2×Q8192(C2xQ8):7Dic3192,788
(C2×Q8)⋊8Dic3 = C2×Q83Dic3φ: Dic3/C6C2 ⊆ Out C2×Q848(C2xQ8):8Dic3192,794
(C2×Q8)⋊9Dic3 = (C6×D4)⋊9C4φ: Dic3/C6C2 ⊆ Out C2×Q8484(C2xQ8):9Dic3192,795
(C2×Q8)⋊10Dic3 = (C6×D4)⋊10C4φ: Dic3/C6C2 ⊆ Out C2×Q8484(C2xQ8):10Dic3192,799
(C2×Q8)⋊11Dic3 = C6.422- 1+4φ: Dic3/C6C2 ⊆ Out C2×Q896(C2xQ8):11Dic3192,1371

Non-split extensions G=N.Q with N=C2×Q8 and Q=Dic3
extensionφ:Q→Out NdρLabelID
(C2×Q8).1Dic3 = C2.U2(𝔽3)φ: Dic3/C2S3 ⊆ Out C2×Q864(C2xQ8).1Dic3192,183
(C2×Q8).2Dic3 = C2×U2(𝔽3)φ: Dic3/C2S3 ⊆ Out C2×Q848(C2xQ8).2Dic3192,981
(C2×Q8).3Dic3 = U2(𝔽3)⋊C2φ: Dic3/C2S3 ⊆ Out C2×Q8324(C2xQ8).3Dic3192,982
(C2×Q8).4Dic3 = C42.7D6φ: Dic3/C3C4 ⊆ Out C2×Q896(C2xQ8).4Dic3192,99
(C2×Q8).5Dic3 = C12.5Q16φ: Dic3/C3C4 ⊆ Out C2×Q8192(C2xQ8).5Dic3192,105
(C2×Q8).6Dic3 = C42.3Dic3φ: Dic3/C3C4 ⊆ Out C2×Q8484(C2xQ8).6Dic3192,107
(C2×Q8).7Dic3 = C12.26Q16φ: Dic3/C6C2 ⊆ Out C2×Q8192(C2xQ8).7Dic3192,94
(C2×Q8).8Dic3 = C42.210D6φ: Dic3/C6C2 ⊆ Out C2×Q8192(C2xQ8).8Dic3192,583
(C2×Q8).9Dic3 = C2×C12.10D4φ: Dic3/C6C2 ⊆ Out C2×Q896(C2xQ8).9Dic3192,785
(C2×Q8).10Dic3 = (C6×D4).11C4φ: Dic3/C6C2 ⊆ Out C2×Q896(C2xQ8).10Dic3192,793
(C2×Q8).11Dic3 = C12.76C24φ: Dic3/C6C2 ⊆ Out C2×Q8484(C2xQ8).11Dic3192,1378
(C2×Q8).12Dic3 = Q8×C3⋊C8φ: trivial image192(C2xQ8).12Dic3192,582
(C2×Q8).13Dic3 = C2×D4.Dic3φ: trivial image96(C2xQ8).13Dic3192,1377

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