Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C7⋊C8

Direct product G=N×Q with N=C4 and Q=C2×C7⋊C8
dρLabelID
C2×C4×C7⋊C8448C2xC4xC7:C8448,454

Semidirect products G=N:Q with N=C4 and Q=C2×C7⋊C8
extensionφ:Q→Aut NdρLabelID
C41(C2×C7⋊C8) = D4×C7⋊C8φ: C2×C7⋊C8/C7⋊C8C2 ⊆ Aut C4224C4:1(C2xC7:C8)448,544
C42(C2×C7⋊C8) = C2×C28⋊C8φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C4448C4:2(C2xC7:C8)448,457

Non-split extensions G=N.Q with N=C4 and Q=C2×C7⋊C8
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C7⋊C8) = C28.57D8φ: C2×C7⋊C8/C7⋊C8C2 ⊆ Aut C4224C4.1(C2xC7:C8)448,91
C4.2(C2×C7⋊C8) = C28.26Q16φ: C2×C7⋊C8/C7⋊C8C2 ⊆ Aut C4448C4.2(C2xC7:C8)448,92
C4.3(C2×C7⋊C8) = C56.92D4φ: C2×C7⋊C8/C7⋊C8C2 ⊆ Aut C42244C4.3(C2xC7:C8)448,118
C4.4(C2×C7⋊C8) = Q8×C7⋊C8φ: C2×C7⋊C8/C7⋊C8C2 ⊆ Aut C4448C4.4(C2xC7:C8)448,557
C4.5(C2×C7⋊C8) = C56.70C23φ: C2×C7⋊C8/C7⋊C8C2 ⊆ Aut C42244C4.5(C2xC7:C8)448,674
C4.6(C2×C7⋊C8) = C562C8φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C4448C4.6(C2xC7:C8)448,14
C4.7(C2×C7⋊C8) = C561C8φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C4448C4.7(C2xC7:C8)448,15
C4.8(C2×C7⋊C8) = C56.16Q8φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C41122C4.8(C2xC7:C8)448,20
C4.9(C2×C7⋊C8) = C2×C28.C8φ: C2×C7⋊C8/C2×C28C2 ⊆ Aut C4224C4.9(C2xC7:C8)448,631
C4.10(C2×C7⋊C8) = C8×C7⋊C8central extension (φ=1)448C4.10(C2xC7:C8)448,10
C4.11(C2×C7⋊C8) = C56⋊C8central extension (φ=1)448C4.11(C2xC7:C8)448,12
C4.12(C2×C7⋊C8) = C4×C7⋊C16central extension (φ=1)448C4.12(C2xC7:C8)448,17
C4.13(C2×C7⋊C8) = C56.C8central extension (φ=1)448C4.13(C2xC7:C8)448,18
C4.14(C2×C7⋊C8) = C2×C7⋊C32central extension (φ=1)448C4.14(C2xC7:C8)448,55
C4.15(C2×C7⋊C8) = C7⋊M6(2)central extension (φ=1)2242C4.15(C2xC7:C8)448,56
C4.16(C2×C7⋊C8) = C42.6Dic7central extension (φ=1)224C4.16(C2xC7:C8)448,459
C4.17(C2×C7⋊C8) = C22×C7⋊C16central extension (φ=1)448C4.17(C2xC7:C8)448,630

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