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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×Dic7448C2^2xC4xDic7448,1235

Semidirect products G=N:Q with N=C22 and Q=C4×Dic7
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4×Dic7) = C22⋊C4×Dic7φ: C4×Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2:1(C4xDic7)448,475
C22⋊2(C4×Dic7) = C4×C23.D7φ: C4×Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2:2(C4xDic7)448,743

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(C4xDic7)448,84
C22.2(C4×Dic7) = (C2×C28).Q8φ: C4×Dic7/C2×Dic7 → C2 ⊆ Aut C221124C2^2.2(C4xDic7)448,90
C22.3(C4×Dic7) = M4(2)⋊Dic7φ: C4×Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2.3(C4xDic7)448,111
C22.4(C4×Dic7) = M4(2)⋊4Dic7φ: C4×Dic7/C2×Dic7 → C2 ⊆ Aut C221124C2^2.4(C4xDic7)448,116
C22.5(C4×Dic7) = C28.5C42φ: C4×Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2.5(C4xDic7)448,531
C22.6(C4×Dic7) = M4(2)×Dic7φ: C4×Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2.6(C4xDic7)448,651
C22.7(C4×Dic7) = C28.7C42φ: C4×Dic7/C2×Dic7 → C2 ⊆ Aut C22224C2^2.7(C4xDic7)448,656
C22.8(C4×Dic7) = C24.D14φ: C4×Dic7/C2×C28 → C2 ⊆ Aut C22112C2^2.8(C4xDic7)448,83
C22.9(C4×Dic7) = C28.(C4⋊C4)φ: C4×Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2.9(C4xDic7)448,87
C22.10(C4×Dic7) = (C2×C56)⋊C4φ: C4×Dic7/C2×C28 → C2 ⊆ Aut C221124C2^2.10(C4xDic7)448,113
C22.11(C4×Dic7) = C4×C4.Dic7φ: C4×Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2.11(C4xDic7)448,456
C22.12(C4×Dic7) = C28.12C42φ: C4×Dic7/C2×C28 → C2 ⊆ Aut C22224C2^2.12(C4xDic7)448,635
C22.13(C4×Dic7) = C8×C7⋊C8central extension (φ=1)448C2^2.13(C4xDic7)448,10
C22.14(C4×Dic7) = C42.279D14central extension (φ=1)448C2^2.14(C4xDic7)448,11
C22.15(C4×Dic7) = C56⋊C8central extension (φ=1)448C2^2.15(C4xDic7)448,12
C22.16(C4×Dic7) = (C2×C28)⋊3C8central extension (φ=1)448C2^2.16(C4xDic7)448,81
C22.17(C4×Dic7) = (C2×C56)⋊5C4central extension (φ=1)448C2^2.17(C4xDic7)448,107
C22.18(C4×Dic7) = C2×C4×C7⋊C8central extension (φ=1)448C2^2.18(C4xDic7)448,454
C22.19(C4×Dic7) = C2×C42.D7central extension (φ=1)448C2^2.19(C4xDic7)448,455
C22.20(C4×Dic7) = C2×C8×Dic7central extension (φ=1)448C2^2.20(C4xDic7)448,632
C22.21(C4×Dic7) = C2×C56⋊C4central extension (φ=1)448C2^2.21(C4xDic7)448,634
C22.22(C4×Dic7) = C2×C14.C42central extension (φ=1)448C2^2.22(C4xDic7)448,742

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