# Extensions 1→N→G→Q→1 with N=C4 and Q=Q8×C14

Direct product G=N×Q with N=C4 and Q=Q8×C14
dρLabelID
Q8×C2×C28448Q8xC2xC28448,1299

Semidirect products G=N:Q with N=C4 and Q=Q8×C14
extensionφ:Q→Aut NdρLabelID
C41(Q8×C14) = C14×C4⋊Q8φ: Q8×C14/C2×C28C2 ⊆ Aut C4448C4:1(Q8xC14)448,1314
C42(Q8×C14) = C7×D4×Q8φ: Q8×C14/C7×Q8C2 ⊆ Aut C4224C4:2(Q8xC14)448,1332

Non-split extensions G=N.Q with N=C4 and Q=Q8×C14
extensionφ:Q→Aut NdρLabelID
C4.1(Q8×C14) = C14×C4.Q8φ: Q8×C14/C2×C28C2 ⊆ Aut C4448C4.1(Q8xC14)448,833
C4.2(Q8×C14) = C14×C2.D8φ: Q8×C14/C2×C28C2 ⊆ Aut C4448C4.2(Q8xC14)448,834
C4.3(Q8×C14) = C7×C23.25D4φ: Q8×C14/C2×C28C2 ⊆ Aut C4224C4.3(Q8xC14)448,835
C4.4(Q8×C14) = C7×M4(2)⋊C4φ: Q8×C14/C2×C28C2 ⊆ Aut C4224C4.4(Q8xC14)448,836
C4.5(Q8×C14) = C7×C83Q8φ: Q8×C14/C2×C28C2 ⊆ Aut C4448C4.5(Q8xC14)448,906
C4.6(Q8×C14) = C7×C8.5Q8φ: Q8×C14/C2×C28C2 ⊆ Aut C4448C4.6(Q8xC14)448,907
C4.7(Q8×C14) = C7×C82Q8φ: Q8×C14/C2×C28C2 ⊆ Aut C4448C4.7(Q8xC14)448,908
C4.8(Q8×C14) = C7×C8⋊Q8φ: Q8×C14/C2×C28C2 ⊆ Aut C4448C4.8(Q8xC14)448,909
C4.9(Q8×C14) = C14×C42.C2φ: Q8×C14/C2×C28C2 ⊆ Aut C4448C4.9(Q8xC14)448,1310
C4.10(Q8×C14) = C7×C23.37C23φ: Q8×C14/C2×C28C2 ⊆ Aut C4224C4.10(Q8xC14)448,1316
C4.11(Q8×C14) = C7×C23.41C23φ: Q8×C14/C2×C28C2 ⊆ Aut C4224C4.11(Q8xC14)448,1327
C4.12(Q8×C14) = C7×D4⋊Q8φ: Q8×C14/C7×Q8C2 ⊆ Aut C4224C4.12(Q8xC14)448,882
C4.13(Q8×C14) = C7×Q8⋊Q8φ: Q8×C14/C7×Q8C2 ⊆ Aut C4448C4.13(Q8xC14)448,883
C4.14(Q8×C14) = C7×D42Q8φ: Q8×C14/C7×Q8C2 ⊆ Aut C4224C4.14(Q8xC14)448,884
C4.15(Q8×C14) = C7×C4.Q16φ: Q8×C14/C7×Q8C2 ⊆ Aut C4448C4.15(Q8xC14)448,885
C4.16(Q8×C14) = C7×D4.Q8φ: Q8×C14/C7×Q8C2 ⊆ Aut C4224C4.16(Q8xC14)448,886
C4.17(Q8×C14) = C7×Q8.Q8φ: Q8×C14/C7×Q8C2 ⊆ Aut C4448C4.17(Q8xC14)448,887
C4.18(Q8×C14) = C7×D43Q8φ: Q8×C14/C7×Q8C2 ⊆ Aut C4224C4.18(Q8xC14)448,1337
C4.19(Q8×C14) = C7×Q83Q8φ: Q8×C14/C7×Q8C2 ⊆ Aut C4448C4.19(Q8xC14)448,1340
C4.20(Q8×C14) = C7×Q82φ: Q8×C14/C7×Q8C2 ⊆ Aut C4448C4.20(Q8xC14)448,1341
C4.21(Q8×C14) = C14×C4⋊C8central extension (φ=1)448C4.21(Q8xC14)448,830
C4.22(Q8×C14) = C7×C4⋊M4(2)central extension (φ=1)224C4.22(Q8xC14)448,831
C4.23(Q8×C14) = C7×C42.6C22central extension (φ=1)224C4.23(Q8xC14)448,832
C4.24(Q8×C14) = Q8×C56central extension (φ=1)448C4.24(Q8xC14)448,853
C4.25(Q8×C14) = C7×C84Q8central extension (φ=1)448C4.25(Q8xC14)448,854

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