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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C4⋊C4

Direct product G=N×Q with N=Dic3 and Q=C4⋊C4
dρLabelID
Dic3×C4⋊C4192Dic3xC4:C4192,533

Semidirect products G=N:Q with N=Dic3 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
Dic3⋊1(C4⋊C4) = C6.(C4×Q8)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic3192Dic3:1(C4:C4)192,206
Dic3⋊2(C4⋊C4) = (C4×Dic3)⋊8C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic3192Dic3:2(C4:C4)192,534
Dic3⋊3(C4⋊C4) = Dic3⋊(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic3192Dic3:3(C4:C4)192,535
Dic3⋊4(C4⋊C4) = Dic3⋊C42φ: trivial image192Dic3:4(C4:C4)192,208

Non-split extensions G=N.Q with N=Dic3 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
Dic3.1(C4⋊C4) = C3⋊(C42⋊8C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic3192Dic3.1(C4:C4)192,209
Dic3.2(C4⋊C4) = C12⋊M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic396Dic3.2(C4:C4)192,396
Dic3.3(C4⋊C4) = C42.30D6φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic396Dic3.3(C4:C4)192,398
Dic3.4(C4⋊C4) = S3×C4.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic396Dic3.4(C4:C4)192,418
Dic3.5(C4⋊C4) = C8⋊(C4×S3)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic396Dic3.5(C4:C4)192,420
Dic3.6(C4⋊C4) = S3×C2.D8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic396Dic3.6(C4:C4)192,438
Dic3.7(C4⋊C4) = C8⋊S3⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic396Dic3.7(C4:C4)192,440
Dic3.8(C4⋊C4) = S3×C8.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic3484Dic3.8(C4:C4)192,451
Dic3.9(C4⋊C4) = M4(2).25D6φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic3484Dic3.9(C4:C4)192,452
Dic3.10(C4⋊C4) = S3×C4⋊C8φ: trivial image96Dic3.10(C4:C4)192,391
Dic3.11(C4⋊C4) = (S3×C8)⋊C4φ: trivial image96Dic3.11(C4:C4)192,419
Dic3.12(C4⋊C4) = C8.27(C4×S3)φ: trivial image96Dic3.12(C4:C4)192,439

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