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

Direct product G=N×Q with N=C22 and Q=C4⋊Dic7
dρLabelID
C22×C4⋊Dic7448C2^2xC4:Dic7448,1238

Semidirect products G=N:Q with N=C22 and Q=C4⋊Dic7
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4⋊Dic7) = C24.47D14φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2:1(C4:Dic7)448,484
C22⋊2(C4⋊Dic7) = C23.27D28φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2:2(C4:Dic7)448,746

Non-split extensions G=N.Q with N=C22 and Q=C4⋊Dic7
extensionφ:Q→Aut NdρLabelID
C22.1(C4⋊Dic7) = C24.2D14φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C22112C2^2.1(C4:Dic7)448,84
C22.2(C4⋊Dic7) = (C2×C28).Q8φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C221124C2^2.2(C4:Dic7)448,90
C22.3(C4⋊Dic7) = C28.3C42φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C22112C2^2.3(C4:Dic7)448,112
C22.4(C4⋊Dic7) = C28.4C42φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2.4(C4:Dic7)448,115
C22.5(C4⋊Dic7) = C42.43D14φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2.5(C4:Dic7)448,533
C22.6(C4⋊Dic7) = C23.47D28φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2.6(C4:Dic7)448,655
C22.7(C4⋊Dic7) = M4(2).Dic7φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C221124C2^2.7(C4:Dic7)448,659
C22.8(C4⋊Dic7) = C24.D14φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C22112C2^2.8(C4:Dic7)448,83
C22.9(C4⋊Dic7) = C28.(C4⋊C4)φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2.9(C4:Dic7)448,87
C22.10(C4⋊Dic7) = C23.9D28φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C221124C2^2.10(C4:Dic7)448,114
C22.11(C4⋊Dic7) = C28.21C42φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C221124C2^2.11(C4:Dic7)448,117
C22.12(C4⋊Dic7) = C28⋊7M4(2)φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2.12(C4:Dic7)448,458
C22.13(C4⋊Dic7) = C23.22D28φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2.13(C4:Dic7)448,640
C22.14(C4⋊Dic7) = C2×C56.C4φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2.14(C4:Dic7)448,641
C22.15(C4⋊Dic7) = C56⋊2C8central extension (φ=1)448C2^2.15(C4:Dic7)448,14
C22.16(C4⋊Dic7) = C56⋊1C8central extension (φ=1)448C2^2.16(C4:Dic7)448,15
C22.17(C4⋊Dic7) = (C2×C28)⋊3C8central extension (φ=1)448C2^2.17(C4:Dic7)448,81
C22.18(C4⋊Dic7) = C28.9C42central extension (φ=1)448C2^2.18(C4:Dic7)448,108
C22.19(C4⋊Dic7) = C28.10C42central extension (φ=1)224C2^2.19(C4:Dic7)448,109
C22.20(C4⋊Dic7) = C2×C28⋊C8central extension (φ=1)448C2^2.20(C4:Dic7)448,457
C22.21(C4⋊Dic7) = C2×C8⋊Dic7central extension (φ=1)448C2^2.21(C4:Dic7)448,638
C22.22(C4⋊Dic7) = C2×C56⋊1C4central extension (φ=1)448C2^2.22(C4:Dic7)448,639
C22.23(C4⋊Dic7) = C2×C14.C42central extension (φ=1)448C2^2.23(C4:Dic7)448,742

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