Extensions 1→N→G→Q→1 with N=C14 and Q=C8⋊C4

Direct product G=N×Q with N=C14 and Q=C8⋊C4

Semidirect products G=N:Q with N=C14 and Q=C8⋊C4
extensionφ:Q→Aut NdρLabelID
C141(C8⋊C4) = C2×C42.D7φ: C8⋊C4/C42C2 ⊆ Aut C14448C14:1(C8:C4)448,455
C142(C8⋊C4) = C2×C56⋊C4φ: C8⋊C4/C2×C8C2 ⊆ Aut C14448C14:2(C8:C4)448,634

Non-split extensions G=N.Q with N=C14 and Q=C8⋊C4
extensionφ:Q→Aut NdρLabelID
C14.1(C8⋊C4) = C42.279D14φ: C8⋊C4/C42C2 ⊆ Aut C14448C14.1(C8:C4)448,11
C14.2(C8⋊C4) = C28.15C42φ: C8⋊C4/C42C2 ⊆ Aut C141124C14.2(C8:C4)448,23
C14.3(C8⋊C4) = (C2×C28)⋊3C8φ: C8⋊C4/C42C2 ⊆ Aut C14448C14.3(C8:C4)448,81
C14.4(C8⋊C4) = C56⋊C8φ: C8⋊C4/C2×C8C2 ⊆ Aut C14448C14.4(C8:C4)448,12
C14.5(C8⋊C4) = C112⋊C4φ: C8⋊C4/C2×C8C2 ⊆ Aut C141124C14.5(C8:C4)448,69
C14.6(C8⋊C4) = (C2×C56)⋊5C4φ: C8⋊C4/C2×C8C2 ⊆ Aut C14448C14.6(C8:C4)448,107
C14.7(C8⋊C4) = C7×C8⋊C8central extension (φ=1)448C14.7(C8:C4)448,126
C14.8(C8⋊C4) = C7×C22.7C42central extension (φ=1)448C14.8(C8:C4)448,140
C14.9(C8⋊C4) = C7×C16⋊C4central extension (φ=1)1124C14.9(C8:C4)448,151