# Extensions 1→N→G→Q→1 with N=C4×3- 1+2 and Q=C22

Direct product G=N×Q with N=C4×3- 1+2 and Q=C22
dρLabelID
C22×C4×3- 1+2144C2^2xC4xES-(3,1)432,402

Semidirect products G=N:Q with N=C4×3- 1+2 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×3- 1+2)⋊C22 = D4×C9⋊C6φ: C22/C1C22 ⊆ Out C4×3- 1+23612+(C4xES-(3,1)):C2^2432,362
(C4×3- 1+2)⋊2C22 = C2×D36⋊C3φ: C22/C2C2 ⊆ Out C4×3- 1+272(C4xES-(3,1)):2C2^2432,354
(C4×3- 1+2)⋊3C22 = C2×C4×C9⋊C6φ: C22/C2C2 ⊆ Out C4×3- 1+272(C4xES-(3,1)):3C2^2432,353
(C4×3- 1+2)⋊4C22 = C2×D4×3- 1+2φ: C22/C2C2 ⊆ Out C4×3- 1+272(C4xES-(3,1)):4C2^2432,405

Non-split extensions G=N.Q with N=C4×3- 1+2 and Q=C22
extensionφ:Q→Out NdρLabelID
(C4×3- 1+2).1C22 = Dic18⋊C6φ: C22/C1C22 ⊆ Out C4×3- 1+27212-(C4xES-(3,1)).1C2^2432,154
(C4×3- 1+2).2C22 = D36⋊C6φ: C22/C1C22 ⊆ Out C4×3- 1+27212+(C4xES-(3,1)).2C2^2432,155
(C4×3- 1+2).3C22 = Dic18.C6φ: C22/C1C22 ⊆ Out C4×3- 1+214412-(C4xES-(3,1)).3C2^2432,162
(C4×3- 1+2).4C22 = D36.C6φ: C22/C1C22 ⊆ Out C4×3- 1+27212+(C4xES-(3,1)).4C2^2432,163
(C4×3- 1+2).5C22 = Dic182C6φ: C22/C1C22 ⊆ Out C4×3- 1+27212-(C4xES-(3,1)).5C2^2432,363
(C4×3- 1+2).6C22 = Q8×C9⋊C6φ: C22/C1C22 ⊆ Out C4×3- 1+27212-(C4xES-(3,1)).6C2^2432,370
(C4×3- 1+2).7C22 = D363C6φ: C22/C1C22 ⊆ Out C4×3- 1+27212+(C4xES-(3,1)).7C2^2432,371
(C4×3- 1+2).8C22 = C72.C6φ: C22/C2C2 ⊆ Out C4×3- 1+21446-(C4xES-(3,1)).8C2^2432,119
(C4×3- 1+2).9C22 = C722C6φ: C22/C2C2 ⊆ Out C4×3- 1+2726(C4xES-(3,1)).9C2^2432,122
(C4×3- 1+2).10C22 = D72⋊C3φ: C22/C2C2 ⊆ Out C4×3- 1+2726+(C4xES-(3,1)).10C2^2432,123
(C4×3- 1+2).11C22 = C2×C36.C6φ: C22/C2C2 ⊆ Out C4×3- 1+2144(C4xES-(3,1)).11C2^2432,352
(C4×3- 1+2).12C22 = C8×C9⋊C6φ: C22/C2C2 ⊆ Out C4×3- 1+2726(C4xES-(3,1)).12C2^2432,120
(C4×3- 1+2).13C22 = C72⋊C6φ: C22/C2C2 ⊆ Out C4×3- 1+2726(C4xES-(3,1)).13C2^2432,121
(C4×3- 1+2).14C22 = C2×C9⋊C24φ: C22/C2C2 ⊆ Out C4×3- 1+2144(C4xES-(3,1)).14C2^2432,142
(C4×3- 1+2).15C22 = C36.C12φ: C22/C2C2 ⊆ Out C4×3- 1+2726(C4xES-(3,1)).15C2^2432,143
(C4×3- 1+2).16C22 = D366C6φ: C22/C2C2 ⊆ Out C4×3- 1+2726(C4xES-(3,1)).16C2^2432,355
(C4×3- 1+2).17C22 = D8×3- 1+2φ: C22/C2C2 ⊆ Out C4×3- 1+2726(C4xES-(3,1)).17C2^2432,217
(C4×3- 1+2).18C22 = SD16×3- 1+2φ: C22/C2C2 ⊆ Out C4×3- 1+2726(C4xES-(3,1)).18C2^2432,220
(C4×3- 1+2).19C22 = Q16×3- 1+2φ: C22/C2C2 ⊆ Out C4×3- 1+21446(C4xES-(3,1)).19C2^2432,223
(C4×3- 1+2).20C22 = C2×Q8×3- 1+2φ: C22/C2C2 ⊆ Out C4×3- 1+2144(C4xES-(3,1)).20C2^2432,408
(C4×3- 1+2).21C22 = C2×C8×3- 1+2φ: trivial image144(C4xES-(3,1)).21C2^2432,211
(C4×3- 1+2).22C22 = M4(2)×3- 1+2φ: trivial image726(C4xES-(3,1)).22C2^2432,214
(C4×3- 1+2).23C22 = C4○D4×3- 1+2φ: trivial image726(C4xES-(3,1)).23C2^2432,411

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