# Extensions 1→N→G→Q→1 with N=C32 and Q=C4.4D4

Direct product G=N×Q with N=C32 and Q=C4.4D4
dρLabelID
C32×C4.4D4144C3^2xC4.4D4288,821

Semidirect products G=N:Q with N=C32 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C32⋊(C4.4D4) = C4.4S3≀C2φ: C4.4D4/C4D4 ⊆ Aut C32248+C3^2:(C4.4D4)288,869
C322(C4.4D4) = Dic3.D12φ: C4.4D4/C2×C4C22 ⊆ Aut C3248C3^2:2(C4.4D4)288,500
C323(C4.4D4) = C12.27D12φ: C4.4D4/C2×C4C22 ⊆ Aut C3296C3^2:3(C4.4D4)288,508
C324(C4.4D4) = C62.33C23φ: C4.4D4/C2×C4C22 ⊆ Aut C3296C3^2:4(C4.4D4)288,511
C325(C4.4D4) = C12.28D12φ: C4.4D4/C2×C4C22 ⊆ Aut C3248C3^2:5(C4.4D4)288,512
C326(C4.4D4) = C62.77C23φ: C4.4D4/C2×C4C22 ⊆ Aut C3248C3^2:6(C4.4D4)288,555
C327(C4.4D4) = C62.83C23φ: C4.4D4/C2×C4C22 ⊆ Aut C3296C3^2:7(C4.4D4)288,561
C328(C4.4D4) = C62.85C23φ: C4.4D4/C2×C4C22 ⊆ Aut C3296C3^2:8(C4.4D4)288,563
C329(C4.4D4) = C62.95C23φ: C4.4D4/C23C22 ⊆ Aut C3248C3^2:9(C4.4D4)288,601
C3210(C4.4D4) = C62.101C23φ: C4.4D4/C23C22 ⊆ Aut C3248C3^2:10(C4.4D4)288,607
C3211(C4.4D4) = C3×C427S3φ: C4.4D4/C42C2 ⊆ Aut C3296C3^2:11(C4.4D4)288,646
C3212(C4.4D4) = C1226C2φ: C4.4D4/C42C2 ⊆ Aut C32144C3^2:12(C4.4D4)288,732
C3213(C4.4D4) = C3×C23.11D6φ: C4.4D4/C22⋊C4C2 ⊆ Aut C3248C3^2:13(C4.4D4)288,656
C3214(C4.4D4) = C62.229C23φ: C4.4D4/C22⋊C4C2 ⊆ Aut C32144C3^2:14(C4.4D4)288,742
C3215(C4.4D4) = C3×C23.12D6φ: C4.4D4/C2×D4C2 ⊆ Aut C3248C3^2:15(C4.4D4)288,707
C3216(C4.4D4) = C62.254C23φ: C4.4D4/C2×D4C2 ⊆ Aut C32144C3^2:16(C4.4D4)288,793
C3217(C4.4D4) = C3×C12.23D4φ: C4.4D4/C2×Q8C2 ⊆ Aut C3296C3^2:17(C4.4D4)288,718
C3218(C4.4D4) = C62.262C23φ: C4.4D4/C2×Q8C2 ⊆ Aut C32144C3^2:18(C4.4D4)288,804

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