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Extensions 1→N→G→Q→1 with N=C3×Q8 and Q=C3×C6

Direct product G=N×Q with N=C3×Q8 and Q=C3×C6
dρLabelID
Q8×C32×C6432Q8xC3^2xC6432,732

Semidirect products G=N:Q with N=C3×Q8 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
(C3×Q8)⋊(C3×C6) = C3×S3×SL2(𝔽3)φ: C3×C6/C3 → C6 ⊆ Out C3×Q8484(C3xQ8):(C3xC6)432,623
(C3×Q8)⋊2(C3×C6) = C3×C6×SL2(𝔽3)φ: C3×C6/C6 → C3 ⊆ Out C3×Q8144(C3xQ8):2(C3xC6)432,698
(C3×Q8)⋊3(C3×C6) = C32×Q8⋊2S3φ: C3×C6/C32 → C2 ⊆ Out C3×Q8144(C3xQ8):3(C3xC6)432,477
(C3×Q8)⋊4(C3×C6) = S3×Q8×C32φ: C3×C6/C32 → C2 ⊆ Out C3×Q8144(C3xQ8):4(C3xC6)432,706
(C3×Q8)⋊5(C3×C6) = C32×Q8⋊3S3φ: C3×C6/C32 → C2 ⊆ Out C3×Q8144(C3xQ8):5(C3xC6)432,707
(C3×Q8)⋊6(C3×C6) = SD16×C33φ: C3×C6/C32 → C2 ⊆ Out C3×Q8216(C3xQ8):6(C3xC6)432,518
(C3×Q8)⋊7(C3×C6) = C4○D4×C33φ: trivial image216(C3xQ8):7(C3xC6)432,733

Non-split extensions G=N.Q with N=C3×Q8 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
(C3×Q8).(C3×C6) = C3×Dic3.A4φ: C3×C6/C3 → C6 ⊆ Out C3×Q8484(C3xQ8).(C3xC6)432,622
(C3×Q8).2(C3×C6) = C18×SL2(𝔽3)φ: C3×C6/C6 → C3 ⊆ Out C3×Q8144(C3xQ8).2(C3xC6)432,327
(C3×Q8).3(C3×C6) = C2×C18.A4φ: C3×C6/C6 → C3 ⊆ Out C3×Q8144(C3xQ8).3(C3xC6)432,328
(C3×Q8).4(C3×C6) = C9×C4.A4φ: C3×C6/C6 → C3 ⊆ Out C3×Q81442(C3xQ8).4(C3xC6)432,329
(C3×Q8).5(C3×C6) = C36.A4φ: C3×C6/C6 → C3 ⊆ Out C3×Q81446(C3xQ8).5(C3xC6)432,330
(C3×Q8).6(C3×C6) = C6×Q8⋊C9φ: C3×C6/C6 → C3 ⊆ Out C3×Q8432(C3xQ8).6(C3xC6)432,334
(C3×Q8).7(C3×C6) = C2×Q8⋊3- 1+2φ: C3×C6/C6 → C3 ⊆ Out C3×Q8144(C3xQ8).7(C3xC6)432,335
(C3×Q8).8(C3×C6) = C2×Q8⋊He3φ: C3×C6/C6 → C3 ⊆ Out C3×Q8144(C3xQ8).8(C3xC6)432,336
(C3×Q8).9(C3×C6) = C3×Q8.C18φ: C3×C6/C6 → C3 ⊆ Out C3×Q8216(C3xQ8).9(C3xC6)432,337
(C3×Q8).10(C3×C6) = Q8⋊C9⋊4C6φ: C3×C6/C6 → C3 ⊆ Out C3×Q8726(C3xQ8).10(C3xC6)432,338
(C3×Q8).11(C3×C6) = C4○D4⋊He3φ: C3×C6/C6 → C3 ⊆ Out C3×Q8726(C3xQ8).11(C3xC6)432,339
(C3×Q8).12(C3×C6) = C32×C4.A4φ: C3×C6/C6 → C3 ⊆ Out C3×Q8144(C3xQ8).12(C3xC6)432,699
(C3×Q8).13(C3×C6) = C32×C3⋊Q16φ: C3×C6/C32 → C2 ⊆ Out C3×Q8144(C3xQ8).13(C3xC6)432,478
(C3×Q8).14(C3×C6) = SD16×C3×C9φ: C3×C6/C32 → C2 ⊆ Out C3×Q8216(C3xQ8).14(C3xC6)432,218
(C3×Q8).15(C3×C6) = SD16×He3φ: C3×C6/C32 → C2 ⊆ Out C3×Q8726(C3xQ8).15(C3xC6)432,219
(C3×Q8).16(C3×C6) = SD16×3- 1+2φ: C3×C6/C32 → C2 ⊆ Out C3×Q8726(C3xQ8).16(C3xC6)432,220
(C3×Q8).17(C3×C6) = Q16×C3×C9φ: C3×C6/C32 → C2 ⊆ Out C3×Q8432(C3xQ8).17(C3xC6)432,221
(C3×Q8).18(C3×C6) = Q16×He3φ: C3×C6/C32 → C2 ⊆ Out C3×Q81446(C3xQ8).18(C3xC6)432,222
(C3×Q8).19(C3×C6) = Q16×3- 1+2φ: C3×C6/C32 → C2 ⊆ Out C3×Q81446(C3xQ8).19(C3xC6)432,223
(C3×Q8).20(C3×C6) = Q16×C33φ: C3×C6/C32 → C2 ⊆ Out C3×Q8432(C3xQ8).20(C3xC6)432,519
(C3×Q8).21(C3×C6) = Q8×C3×C18φ: trivial image432(C3xQ8).21(C3xC6)432,406
(C3×Q8).22(C3×C6) = C2×Q8×He3φ: trivial image144(C3xQ8).22(C3xC6)432,407
(C3×Q8).23(C3×C6) = C2×Q8×3- 1+2φ: trivial image144(C3xQ8).23(C3xC6)432,408
(C3×Q8).24(C3×C6) = C4○D4×C3×C9φ: trivial image216(C3xQ8).24(C3xC6)432,409
(C3×Q8).25(C3×C6) = C4○D4×He3φ: trivial image726(C3xQ8).25(C3xC6)432,410
(C3×Q8).26(C3×C6) = C4○D4×3- 1+2φ: trivial image726(C3xQ8).26(C3xC6)432,411

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