# Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C7⋊C8

Direct product G=N×Q with N=C22 and Q=C2×C7⋊C8
dρLabelID
C23×C7⋊C8448C2^3xC7:C8448,1233

Semidirect products G=N:Q with N=C22 and Q=C2×C7⋊C8
extensionφ:Q→Aut NdρLabelID
C221(C2×C7⋊C8) = D4×C7⋊C8φ: C2×C7⋊C8/C7⋊C8C2 ⊆ Aut C22224C2^2:1(C2xC7:C8)448,544
C222(C2×C7⋊C8) = C2×C28.55D4φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C22224C2^2:2(C2xC7:C8)448,740

Non-split extensions G=N.Q with N=C22 and Q=C2×C7⋊C8
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C7⋊C8) = C56.70C23φ: C2×C7⋊C8/C7⋊C8C2 ⊆ Aut C222244C2^2.1(C2xC7:C8)448,674
C22.2(C2×C7⋊C8) = C24.Dic7φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C22112C2^2.2(C2xC7:C8)448,82
C22.3(C2×C7⋊C8) = (C2×C28)⋊C8φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C22224C2^2.3(C2xC7:C8)448,85
C22.4(C2×C7⋊C8) = C56.D4φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C221124C2^2.4(C2xC7:C8)448,110
C22.5(C2×C7⋊C8) = C42.6Dic7φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C22224C2^2.5(C2xC7:C8)448,459
C22.6(C2×C7⋊C8) = C2×C28.C8φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C22224C2^2.6(C2xC7:C8)448,631
C22.7(C2×C7⋊C8) = C4×C7⋊C16central extension (φ=1)448C2^2.7(C2xC7:C8)448,17
C22.8(C2×C7⋊C8) = C56.C8central extension (φ=1)448C2^2.8(C2xC7:C8)448,18
C22.9(C2×C7⋊C8) = C28⋊C16central extension (φ=1)448C2^2.9(C2xC7:C8)448,19
C22.10(C2×C7⋊C8) = (C2×C28)⋊3C8central extension (φ=1)448C2^2.10(C2xC7:C8)448,81
C22.11(C2×C7⋊C8) = C56.91D4central extension (φ=1)224C2^2.11(C2xC7:C8)448,106
C22.12(C2×C7⋊C8) = C2×C4×C7⋊C8central extension (φ=1)448C2^2.12(C2xC7:C8)448,454
C22.13(C2×C7⋊C8) = C2×C28⋊C8central extension (φ=1)448C2^2.13(C2xC7:C8)448,457
C22.14(C2×C7⋊C8) = C22×C7⋊C16central extension (φ=1)448C2^2.14(C2xC7:C8)448,630

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