Extensions 1→N→G→Q→1 with N=C22 and Q=C7×Q16

Direct product G=N×Q with N=C22 and Q=C7×Q16

Semidirect products G=N:Q with N=C22 and Q=C7×Q16
extensionφ:Q→Aut NdρLabelID
C221(C7×Q16) = C7×C8.18D4φ: C7×Q16/C56C2 ⊆ Aut C22224C2^2:1(C7xQ16)448,875
C222(C7×Q16) = C7×C22⋊Q16φ: C7×Q16/C7×Q8C2 ⊆ Aut C22224C2^2:2(C7xQ16)448,859

Non-split extensions G=N.Q with N=C22 and Q=C7×Q16
extensionφ:Q→Aut NdρLabelID
C22.1(C7×Q16) = C7×C8.4Q8φ: C7×Q16/C56C2 ⊆ Aut C222242C2^2.1(C7xQ16)448,172
C22.2(C7×Q16) = C7×C23.31D4φ: C7×Q16/C7×Q8C2 ⊆ Aut C22112C2^2.2(C7xQ16)448,132
C22.3(C7×Q16) = C7×C23.48D4φ: C7×Q16/C7×Q8C2 ⊆ Aut C22224C2^2.3(C7xQ16)448,892
C22.4(C7×Q16) = C7×C22.4Q16central extension (φ=1)448C2^2.4(C7xQ16)448,144
C22.5(C7×Q16) = C14×Q8⋊C4central extension (φ=1)448C2^2.5(C7xQ16)448,823
C22.6(C7×Q16) = C14×C2.D8central extension (φ=1)448C2^2.6(C7xQ16)448,834