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Extensions 1→N→G→Q→1 with N=C3⋊Dic3 and Q=C2×C6

Direct product G=N×Q with N=C3⋊Dic3 and Q=C2×C6
dρLabelID
C2×C6×C3⋊Dic3144C2xC6xC3:Dic3432,718

Semidirect products G=N:Q with N=C3⋊Dic3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C3⋊Dic3⋊1(C2×C6) = D4×C32⋊C6φ: C2×C6/C2 → C6 ⊆ Out C3⋊Dic33612+C3:Dic3:1(C2xC6)432,360
C3⋊Dic3⋊2(C2×C6) = C2×He3⋊6D4φ: C2×C6/C2 → C6 ⊆ Out C3⋊Dic372C3:Dic3:2(C2xC6)432,377
C3⋊Dic3⋊3(C2×C6) = C3×S3×C3⋊D4φ: C2×C6/C3 → C22 ⊆ Out C3⋊Dic3244C3:Dic3:3(C2xC6)432,658
C3⋊Dic3⋊4(C2×C6) = C2×C4×C32⋊C6φ: C2×C6/C22 → C3 ⊆ Out C3⋊Dic372C3:Dic3:4(C2xC6)432,349
C3⋊Dic3⋊5(C2×C6) = C22×C32⋊C12φ: C2×C6/C22 → C3 ⊆ Out C3⋊Dic3144C3:Dic3:5(C2xC6)432,376
C3⋊Dic3⋊6(C2×C6) = S32×C12φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3484C3:Dic3:6(C2xC6)432,648
C3⋊Dic3⋊7(C2×C6) = C3×D6⋊D6φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3484C3:Dic3:7(C2xC6)432,650
C3⋊Dic3⋊8(C2×C6) = S3×C6×Dic3φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic348C3:Dic3:8(C2xC6)432,651
C3⋊Dic3⋊9(C2×C6) = C6×D6⋊S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic348C3:Dic3:9(C2xC6)432,655
C3⋊Dic3⋊10(C2×C6) = C3×D4×C3⋊S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic372C3:Dic3:10(C2xC6)432,714
C3⋊Dic3⋊11(C2×C6) = C6×C32⋊7D4φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic372C3:Dic3:11(C2xC6)432,719
C3⋊Dic3⋊12(C2×C6) = C3⋊S3×C2×C12φ: trivial image144C3:Dic3:12(C2xC6)432,711

Non-split extensions G=N.Q with N=C3⋊Dic3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C3⋊Dic3.1(C2×C6) = C2×He3⋊3Q8φ: C2×C6/C2 → C6 ⊆ Out C3⋊Dic3144C3:Dic3.1(C2xC6)432,348
C3⋊Dic3.2(C2×C6) = C62.36D6φ: C2×C6/C2 → C6 ⊆ Out C3⋊Dic3726C3:Dic3.2(C2xC6)432,351
C3⋊Dic3.3(C2×C6) = C62.13D6φ: C2×C6/C2 → C6 ⊆ Out C3⋊Dic37212-C3:Dic3.3(C2xC6)432,361
C3⋊Dic3.4(C2×C6) = Q8×C32⋊C6φ: C2×C6/C2 → C6 ⊆ Out C3⋊Dic37212-C3:Dic3.4(C2xC6)432,368
C3⋊Dic3.5(C2×C6) = C3×C32⋊D8φ: C2×C6/C3 → C22 ⊆ Out C3⋊Dic3244C3:Dic3.5(C2xC6)432,576
C3⋊Dic3.6(C2×C6) = C3×C32⋊2SD16φ: C2×C6/C3 → C22 ⊆ Out C3⋊Dic3244C3:Dic3.6(C2xC6)432,577
C3⋊Dic3.7(C2×C6) = C3×C32⋊Q16φ: C2×C6/C3 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.7(C2xC6)432,578
C3⋊Dic3.8(C2×C6) = C3×S3×Dic6φ: C2×C6/C3 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.8(C2xC6)432,642
C3⋊Dic3.9(C2×C6) = C3×D12⋊5S3φ: C2×C6/C3 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.9(C2xC6)432,643
C3⋊Dic3.10(C2×C6) = C3×D6.3D6φ: C2×C6/C3 → C22 ⊆ Out C3⋊Dic3244C3:Dic3.10(C2xC6)432,652
C3⋊Dic3.11(C2×C6) = (Q8×He3)⋊C2φ: C2×C6/C22 → C3 ⊆ Out C3⋊Dic37212+C3:Dic3.11(C2xC6)432,369
C3⋊Dic3.12(C2×C6) = C3×C3⋊S3⋊3C8φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.12(C2xC6)432,628
C3⋊Dic3.13(C2×C6) = C3×C32⋊M4(2)φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.13(C2xC6)432,629
C3⋊Dic3.14(C2×C6) = C6×C32⋊2C8φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic348C3:Dic3.14(C2xC6)432,632
C3⋊Dic3.15(C2×C6) = C3×C62.C4φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3244C3:Dic3.15(C2xC6)432,633
C3⋊Dic3.16(C2×C6) = C3×D12⋊S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.16(C2xC6)432,644
C3⋊Dic3.17(C2×C6) = C3×Dic3.D6φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.17(C2xC6)432,645
C3⋊Dic3.18(C2×C6) = C3×D6.D6φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.18(C2xC6)432,646
C3⋊Dic3.19(C2×C6) = C3×D6.4D6φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3244C3:Dic3.19(C2xC6)432,653
C3⋊Dic3.20(C2×C6) = C6×C32⋊2Q8φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic348C3:Dic3.20(C2xC6)432,657
C3⋊Dic3.21(C2×C6) = C6×C32⋊4Q8φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3144C3:Dic3.21(C2xC6)432,710
C3⋊Dic3.22(C2×C6) = C3×C12.59D6φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic372C3:Dic3.22(C2xC6)432,713
C3⋊Dic3.23(C2×C6) = C3×C12.D6φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic372C3:Dic3.23(C2xC6)432,715
C3⋊Dic3.24(C2×C6) = C3×Q8×C3⋊S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊Dic3144C3:Dic3.24(C2xC6)432,716
C3⋊Dic3.25(C2×C6) = C3×C12.26D6φ: trivial image144C3:Dic3.25(C2xC6)432,717

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