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Extensions 1→N→G→Q→1 with N=C33 and Q=C2×Q8

Direct product G=N×Q with N=C33 and Q=C2×Q8
dρLabelID
Q8×C32×C6432Q8xC3^2xC6432,732

Semidirect products G=N:Q with N=C33 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C33⋊(C2×Q8) = S3×PSU3(𝔽2)φ: C2×Q8/C1 → C2×Q8 ⊆ Aut C332416+C3^3:(C2xQ8)432,742
C33⋊2(C2×Q8) = C6×PSU3(𝔽2)φ: C2×Q8/C2 → Q8 ⊆ Aut C33488C3^3:2(C2xQ8)432,757
C33⋊3(C2×Q8) = C2×C33⋊Q8φ: C2×Q8/C2 → Q8 ⊆ Aut C33488C3^3:3(C2xQ8)432,758
C33⋊4(C2×Q8) = S3×C32⋊2Q8φ: C2×Q8/C2 → C23 ⊆ Aut C33488-C3^3:4(C2xQ8)432,603
C33⋊5(C2×Q8) = C33⋊5(C2×Q8)φ: C2×Q8/C2 → C23 ⊆ Aut C33488-C3^3:5(C2xQ8)432,604
C33⋊6(C2×Q8) = C33⋊6(C2×Q8)φ: C2×Q8/C2 → C23 ⊆ Aut C33248+C3^3:6(C2xQ8)432,605
C33⋊7(C2×Q8) = C3×S3×Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C33484C3^3:7(C2xQ8)432,642
C33⋊8(C2×Q8) = C3×Dic3.D6φ: C2×Q8/C4 → C22 ⊆ Aut C33484C3^3:8(C2xQ8)432,645
C33⋊9(C2×Q8) = S3×C32⋊4Q8φ: C2×Q8/C4 → C22 ⊆ Aut C33144C3^3:9(C2xQ8)432,660
C33⋊10(C2×Q8) = C3⋊S3×Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C33144C3^3:10(C2xQ8)432,663
C33⋊11(C2×Q8) = C32⋊9(S3×Q8)φ: C2×Q8/C4 → C22 ⊆ Aut C3372C3^3:11(C2xQ8)432,666
C33⋊12(C2×Q8) = C3⋊S3⋊4Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C33484C3^3:12(C2xQ8)432,687
C33⋊13(C2×Q8) = C6×C32⋊2Q8φ: C2×Q8/C22 → C22 ⊆ Aut C3348C3^3:13(C2xQ8)432,657
C33⋊14(C2×Q8) = C2×C33⋊4Q8φ: C2×Q8/C22 → C22 ⊆ Aut C33144C3^3:14(C2xQ8)432,683
C33⋊15(C2×Q8) = C2×C33⋊5Q8φ: C2×Q8/C22 → C22 ⊆ Aut C3348C3^3:15(C2xQ8)432,695
C33⋊16(C2×Q8) = C3×C6×Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C33144C3^3:16(C2xQ8)432,700
C33⋊17(C2×Q8) = C6×C32⋊4Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C33144C3^3:17(C2xQ8)432,710
C33⋊18(C2×Q8) = C2×C33⋊8Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C33432C3^3:18(C2xQ8)432,720
C33⋊19(C2×Q8) = S3×Q8×C32φ: C2×Q8/Q8 → C2 ⊆ Aut C33144C3^3:19(C2xQ8)432,706
C33⋊20(C2×Q8) = C3×Q8×C3⋊S3φ: C2×Q8/Q8 → C2 ⊆ Aut C33144C3^3:20(C2xQ8)432,716
C33⋊21(C2×Q8) = Q8×C33⋊C2φ: C2×Q8/Q8 → C2 ⊆ Aut C33216C3^3:21(C2xQ8)432,726


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