# Extensions 1→N→G→Q→1 with N=C22×C4 and Q=Dic7

Direct product G=N×Q with N=C22×C4 and Q=Dic7
dρLabelID
C22×C4×Dic7448C2^2xC4xDic7448,1235

Semidirect products G=N:Q with N=C22×C4 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊1Dic7 = C24.D14φ: Dic7/C7C4 ⊆ Aut C22×C4112(C2^2xC4):1Dic7448,83
(C22×C4)⋊2Dic7 = (C22×C28)⋊C4φ: Dic7/C7C4 ⊆ Aut C22×C41124(C2^2xC4):2Dic7448,96
(C22×C4)⋊3Dic7 = C2×C23⋊Dic7φ: Dic7/C7C4 ⊆ Aut C22×C4112(C2^2xC4):3Dic7448,753
(C22×C4)⋊4Dic7 = (D4×C14)⋊10C4φ: Dic7/C7C4 ⊆ Aut C22×C41124(C2^2xC4):4Dic7448,774
(C22×C4)⋊5Dic7 = C2×C14.C42φ: Dic7/C14C2 ⊆ Aut C22×C4448(C2^2xC4):5Dic7448,742
(C22×C4)⋊6Dic7 = C4×C23.D7φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4):6Dic7448,743
(C22×C4)⋊7Dic7 = C24.63D14φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4):7Dic7448,745
(C22×C4)⋊8Dic7 = C23.27D28φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4):8Dic7448,746
(C22×C4)⋊9Dic7 = C22×C4⋊Dic7φ: Dic7/C14C2 ⊆ Aut C22×C4448(C2^2xC4):9Dic7448,1238
(C22×C4)⋊10Dic7 = C2×C23.21D14φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4):10Dic7448,1239

Non-split extensions G=N.Q with N=C22×C4 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
(C22×C4).1Dic7 = C24.Dic7φ: Dic7/C7C4 ⊆ Aut C22×C4112(C2^2xC4).1Dic7448,82
(C22×C4).2Dic7 = C28.(C4⋊C4)φ: Dic7/C7C4 ⊆ Aut C22×C4224(C2^2xC4).2Dic7448,87
(C22×C4).3Dic7 = (C2×C28)⋊C8φ: Dic7/C7C4 ⊆ Aut C22×C4224(C2^2xC4).3Dic7448,85
(C22×C4).4Dic7 = C56.D4φ: Dic7/C7C4 ⊆ Aut C22×C41124(C2^2xC4).4Dic7448,110
(C22×C4).5Dic7 = C2×C28.10D4φ: Dic7/C7C4 ⊆ Aut C22×C4224(C2^2xC4).5Dic7448,760
(C22×C4).6Dic7 = (D4×C14).16C4φ: Dic7/C7C4 ⊆ Aut C22×C41124(C2^2xC4).6Dic7448,771
(C22×C4).7Dic7 = (C2×C28)⋊3C8φ: Dic7/C14C2 ⊆ Aut C22×C4448(C2^2xC4).7Dic7448,81
(C22×C4).8Dic7 = C56.91D4φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4).8Dic7448,106
(C22×C4).9Dic7 = C2×C42.D7φ: Dic7/C14C2 ⊆ Aut C22×C4448(C2^2xC4).9Dic7448,455
(C22×C4).10Dic7 = C4×C4.Dic7φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4).10Dic7448,456
(C22×C4).11Dic7 = C42.7Dic7φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4).11Dic7448,460
(C22×C4).12Dic7 = C2×C28.55D4φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4).12Dic7448,740
(C22×C4).13Dic7 = C24.4Dic7φ: Dic7/C14C2 ⊆ Aut C22×C4112(C2^2xC4).13Dic7448,741
(C22×C4).14Dic7 = C2×C28⋊C8φ: Dic7/C14C2 ⊆ Aut C22×C4448(C2^2xC4).14Dic7448,457
(C22×C4).15Dic7 = C287M4(2)φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4).15Dic7448,458
(C22×C4).16Dic7 = C42.6Dic7φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4).16Dic7448,459
(C22×C4).17Dic7 = C2×C28.C8φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4).17Dic7448,631
(C22×C4).18Dic7 = C22×C4.Dic7φ: Dic7/C14C2 ⊆ Aut C22×C4224(C2^2xC4).18Dic7448,1234
(C22×C4).19Dic7 = C2×C4×C7⋊C8central extension (φ=1)448(C2^2xC4).19Dic7448,454
(C22×C4).20Dic7 = C22×C7⋊C16central extension (φ=1)448(C2^2xC4).20Dic7448,630
(C22×C4).21Dic7 = C23×C7⋊C8central extension (φ=1)448(C2^2xC4).21Dic7448,1233

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