Extensions 1→N→G→Q→1 with N=He3 and Q=C4⋊C4

Direct product G=N×Q with N=He3 and Q=C4⋊C4
dρLabelID
C4⋊C4×He3144C4:C4xHe3432,207

Semidirect products G=N:Q with N=He3 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
He31(C4⋊C4) = C6.S3≀C2φ: C4⋊C4/C2D4 ⊆ Out He3726-He3:1(C4:C4)432,237
He32(C4⋊C4) = C2.SU3(𝔽2)φ: C4⋊C4/C2Q8 ⊆ Out He3723He3:2(C4:C4)432,239
He33(C4⋊C4) = C4⋊(He3⋊C4)φ: C4⋊C4/C4C4 ⊆ Out He3726He3:3(C4:C4)432,276
He34(C4⋊C4) = C62.D6φ: C4⋊C4/C22C22 ⊆ Out He3144He3:4(C4:C4)432,95
He35(C4⋊C4) = C62.3D6φ: C4⋊C4/C22C22 ⊆ Out He3144He3:5(C4:C4)432,96
He36(C4⋊C4) = C62.19D6φ: C4⋊C4/C2×C4C2 ⊆ Out He3144He3:6(C4:C4)432,139
He37(C4⋊C4) = C62.20D6φ: C4⋊C4/C2×C4C2 ⊆ Out He3144He3:7(C4:C4)432,140
He38(C4⋊C4) = C62.29D6φ: C4⋊C4/C2×C4C2 ⊆ Out He3144He3:8(C4:C4)432,187
He39(C4⋊C4) = C62.30D6φ: C4⋊C4/C2×C4C2 ⊆ Out He3144He3:9(C4:C4)432,188


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