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Extensions 1→N→G→Q→1 with N=C33 and Q=C4⋊C4

Direct product G=N×Q with N=C33 and Q=C4⋊C4
dρLabelID
C4⋊C4×C33432C4:C4xC3^3432,514

Semidirect products G=N:Q with N=C33 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C33⋊1(C4⋊C4) = C33⋊(C4⋊C4)φ: C4⋊C4/C2 → C2×C4 ⊆ Aut C33488-C3^3:1(C4:C4)432,569
C33⋊2(C4⋊C4) = C3×C3⋊S3.Q8φ: C4⋊C4/C2 → D4 ⊆ Aut C33484C3^3:2(C4:C4)432,575
C33⋊3(C4⋊C4) = C33⋊C4⋊C4φ: C4⋊C4/C2 → D4 ⊆ Aut C33484C3^3:3(C4:C4)432,581
C33⋊4(C4⋊C4) = (C3×C6).9D12φ: C4⋊C4/C2 → D4 ⊆ Aut C33488-C3^3:4(C4:C4)432,587
C33⋊5(C4⋊C4) = C3×C2.PSU3(𝔽2)φ: C4⋊C4/C2 → Q8 ⊆ Aut C33488C3^3:5(C4:C4)432,591
C33⋊6(C4⋊C4) = C6.PSU3(𝔽2)φ: C4⋊C4/C2 → Q8 ⊆ Aut C33488C3^3:6(C4:C4)432,592
C33⋊7(C4⋊C4) = C6.2PSU3(𝔽2)φ: C4⋊C4/C2 → Q8 ⊆ Aut C33488C3^3:7(C4:C4)432,593
C33⋊8(C4⋊C4) = C3×C4⋊(C32⋊C4)φ: C4⋊C4/C4 → C4 ⊆ Aut C33484C3^3:8(C4:C4)432,631
C33⋊9(C4⋊C4) = C33⋊9(C4⋊C4)φ: C4⋊C4/C4 → C4 ⊆ Aut C33484C3^3:9(C4:C4)432,638
C33⋊10(C4⋊C4) = C3×Dic3⋊Dic3φ: C4⋊C4/C22 → C22 ⊆ Aut C3348C3^3:10(C4:C4)432,428
C33⋊11(C4⋊C4) = C3×C62.C22φ: C4⋊C4/C22 → C22 ⊆ Aut C3348C3^3:11(C4:C4)432,429
C33⋊12(C4⋊C4) = C62.80D6φ: C4⋊C4/C22 → C22 ⊆ Aut C33144C3^3:12(C4:C4)432,452
C33⋊13(C4⋊C4) = C62.81D6φ: C4⋊C4/C22 → C22 ⊆ Aut C33144C3^3:13(C4:C4)432,453
C33⋊14(C4⋊C4) = C62.82D6φ: C4⋊C4/C22 → C22 ⊆ Aut C33144C3^3:14(C4:C4)432,454
C33⋊15(C4⋊C4) = C62.85D6φ: C4⋊C4/C22 → C22 ⊆ Aut C3348C3^3:15(C4:C4)432,462
C33⋊16(C4⋊C4) = C32×Dic3⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C33144C3^3:16(C4:C4)432,472
C33⋊17(C4⋊C4) = C32×C4⋊Dic3φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C33144C3^3:17(C4:C4)432,473
C33⋊18(C4⋊C4) = C3×C6.Dic6φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C33144C3^3:18(C4:C4)432,488
C33⋊19(C4⋊C4) = C3×C12⋊Dic3φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C33144C3^3:19(C4:C4)432,489
C33⋊20(C4⋊C4) = C62.146D6φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C33432C3^3:20(C4:C4)432,504
C33⋊21(C4⋊C4) = C62.147D6φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C33432C3^3:21(C4:C4)432,505


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