Extensions 1→N→G→Q→1 with N=C32 and Q=C42⋊2C2

Direct product G=N×Q with N=C32 and Q=C42⋊2C2
dρLabelID
C32×C42⋊2C2144C3^2xC4^2:2C2288,823

Semidirect products G=N:Q with N=C32 and Q=C42⋊2C2
extensionφ:Q→Aut NdρLabelID
C32⋊1(C42⋊2C2) = C62.18C23φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C3248C3^2:1(C4^2:2C2)288,496
C32⋊2(C42⋊2C2) = C62.28C23φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C3296C3^2:2(C4^2:2C2)288,506
C32⋊3(C42⋊2C2) = C62.29C23φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C3296C3^2:3(C4^2:2C2)288,507
C32⋊4(C42⋊2C2) = C62.31C23φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C3296C3^2:4(C4^2:2C2)288,509
C32⋊5(C42⋊2C2) = C62.32C23φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C3296C3^2:5(C4^2:2C2)288,510
C32⋊6(C42⋊2C2) = C62.38C23φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C3248C3^2:6(C4^2:2C2)288,516
C32⋊7(C42⋊2C2) = C62.98C23φ: C42⋊2C2/C23 → C22 ⊆ Aut C3248C3^2:7(C4^2:2C2)288,604
C32⋊8(C42⋊2C2) = C3×C42⋊3S3φ: C42⋊2C2/C42 → C2 ⊆ Aut C3296C3^2:8(C4^2:2C2)288,647
C32⋊9(C42⋊2C2) = C122⋊2C2φ: C42⋊2C2/C42 → C2 ⊆ Aut C32144C3^2:9(C4^2:2C2)288,733
C32⋊10(C42⋊2C2) = C3×C23.8D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C3248C3^2:10(C4^2:2C2)288,650
C32⋊11(C42⋊2C2) = C62.223C23φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C32144C3^2:11(C4^2:2C2)288,736
C32⋊12(C42⋊2C2) = C3×C4⋊C4⋊S3φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C3296C3^2:12(C4^2:2C2)288,669
C32⋊13(C42⋊2C2) = C62.242C23φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C32144C3^2:13(C4^2:2C2)288,755


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