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×C56.C4φ: C8.C4/C2×C8C2 ⊆ Aut C14224C14:1(C8.C4)448,641
C142(C8.C4) = C2×C28.53D4φ: C8.C4/M4(2)C2 ⊆ Aut C14224C14:2(C8.C4)448,657

Non-split extensions G=N.Q with N=C14 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C14.1(C8.C4) = C562C8φ: C8.C4/C2×C8C2 ⊆ Aut C14448C14.1(C8.C4)448,14
C14.2(C8.C4) = C561C8φ: C8.C4/C2×C8C2 ⊆ Aut C14448C14.2(C8.C4)448,15
C14.3(C8.C4) = C28.10C42φ: C8.C4/C2×C8C2 ⊆ Aut C14224C14.3(C8.C4)448,109
C14.4(C8.C4) = C28.53D8φ: C8.C4/M4(2)C2 ⊆ Aut C14448C14.4(C8.C4)448,36
C14.5(C8.C4) = C28.39SD16φ: C8.C4/M4(2)C2 ⊆ Aut C14448C14.5(C8.C4)448,37
C14.6(C8.C4) = C28.4C42φ: C8.C4/M4(2)C2 ⊆ Aut C14224C14.6(C8.C4)448,115
C14.7(C8.C4) = C7×C82C8central extension (φ=1)448C14.7(C8.C4)448,138
C14.8(C8.C4) = C7×C81C8central extension (φ=1)448C14.8(C8.C4)448,139
C14.9(C8.C4) = C7×C4.C42central extension (φ=1)224C14.9(C8.C4)448,145