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Extensions 1→N→G→Q→1 with N=C14 and Q=C2xM4(2)

Direct product G=NxQ with N=C14 and Q=C2xM4(2)
dρLabelID
M4(2)xC2xC14224M4(2)xC2xC14448,1349

Semidirect products G=N:Q with N=C14 and Q=C2xM4(2)
extensionφ:Q→Aut NdρLabelID
C14:1(C2xM4(2)) = C22xC8:D7φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14:1(C2xM4(2))448,1190
C14:2(C2xM4(2)) = C2xD7xM4(2)φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14112C14:2(C2xM4(2))448,1196
C14:3(C2xM4(2)) = C22xC4.Dic7φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14224C14:3(C2xM4(2))448,1234

Non-split extensions G=N.Q with N=C14 and Q=C2xM4(2)
extensionφ:Q→Aut NdρLabelID
C14.1(C2xM4(2)) = C56:11Q8φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14448C14.1(C2xM4(2))448,213
C14.2(C2xM4(2)) = C42.282D14φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14.2(C2xM4(2))448,219
C14.3(C2xM4(2)) = C4xC8:D7φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14.3(C2xM4(2))448,221
C14.4(C2xM4(2)) = C8:6D28φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14.4(C2xM4(2))448,222
C14.5(C2xM4(2)) = D14:M4(2)φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14112C14.5(C2xM4(2))448,260
C14.6(C2xM4(2)) = C7:C8:26D4φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14.6(C2xM4(2))448,264
C14.7(C2xM4(2)) = C28.M4(2)φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14448C14.7(C2xM4(2))448,365
C14.8(C2xM4(2)) = C28:M4(2)φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14.8(C2xM4(2))448,371
C14.9(C2xM4(2)) = C28:2M4(2)φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14.9(C2xM4(2))448,372
C14.10(C2xM4(2)) = C2xDic7:C8φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14448C14.10(C2xM4(2))448,633
C14.11(C2xM4(2)) = C2xC56:C4φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14448C14.11(C2xM4(2))448,634
C14.12(C2xM4(2)) = C2xD14:C8φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14.12(C2xM4(2))448,642
C14.13(C2xM4(2)) = C56:32D4φ: C2xM4(2)/C2xC8 → C2 ⊆ Aut C14224C14.13(C2xM4(2))448,645
C14.14(C2xM4(2)) = C56:Q8φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14448C14.14(C2xM4(2))448,235
C14.15(C2xM4(2)) = D7xC8:C4φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.15(C2xM4(2))448,238
C14.16(C2xM4(2)) = C42.182D14φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.16(C2xM4(2))448,239
C14.17(C2xM4(2)) = C8:9D28φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.17(C2xM4(2))448,240
C14.18(C2xM4(2)) = Dic7.C42φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.18(C2xM4(2))448,241
C14.19(C2xM4(2)) = Dic7.5M4(2)φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.19(C2xM4(2))448,252
C14.20(C2xM4(2)) = Dic7.M4(2)φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.20(C2xM4(2))448,253
C14.21(C2xM4(2)) = D7xC22:C8φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14112C14.21(C2xM4(2))448,258
C14.22(C2xM4(2)) = D14:2M4(2)φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.22(C2xM4(2))448,262
C14.23(C2xM4(2)) = Dic7:M4(2)φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.23(C2xM4(2))448,263
C14.24(C2xM4(2)) = C42.27D14φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14448C14.24(C2xM4(2))448,362
C14.25(C2xM4(2)) = D7xC4:C8φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.25(C2xM4(2))448,366
C14.26(C2xM4(2)) = C42.200D14φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.26(C2xM4(2))448,367
C14.27(C2xM4(2)) = C42.202D14φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.27(C2xM4(2))448,369
C14.28(C2xM4(2)) = D14:3M4(2)φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.28(C2xM4(2))448,370
C14.29(C2xM4(2)) = M4(2)xDic7φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.29(C2xM4(2))448,651
C14.30(C2xM4(2)) = Dic7:4M4(2)φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.30(C2xM4(2))448,652
C14.31(C2xM4(2)) = D14:6M4(2)φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14112C14.31(C2xM4(2))448,660
C14.32(C2xM4(2)) = C56:D4φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.32(C2xM4(2))448,661
C14.33(C2xM4(2)) = C56:18D4φ: C2xM4(2)/M4(2) → C2 ⊆ Aut C14224C14.33(C2xM4(2))448,662
C14.34(C2xM4(2)) = C2xC42.D7φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14448C14.34(C2xM4(2))448,455
C14.35(C2xM4(2)) = C4xC4.Dic7φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14224C14.35(C2xM4(2))448,456
C14.36(C2xM4(2)) = C2xC28:C8φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14448C14.36(C2xM4(2))448,457
C14.37(C2xM4(2)) = C28:7M4(2)φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14224C14.37(C2xM4(2))448,458
C14.38(C2xM4(2)) = C42.6Dic7φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14224C14.38(C2xM4(2))448,459
C14.39(C2xM4(2)) = C42.7Dic7φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14224C14.39(C2xM4(2))448,460
C14.40(C2xM4(2)) = C42.47D14φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14224C14.40(C2xM4(2))448,545
C14.41(C2xM4(2)) = C28:3M4(2)φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14224C14.41(C2xM4(2))448,546
C14.42(C2xM4(2)) = C42.210D14φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14448C14.42(C2xM4(2))448,558
C14.43(C2xM4(2)) = C2xC28.55D4φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14224C14.43(C2xM4(2))448,740
C14.44(C2xM4(2)) = C24.4Dic7φ: C2xM4(2)/C22xC4 → C2 ⊆ Aut C14112C14.44(C2xM4(2))448,741
C14.45(C2xM4(2)) = C14xC8:C4central extension (φ=1)448C14.45(C2xM4(2))448,811
C14.46(C2xM4(2)) = M4(2)xC28central extension (φ=1)224C14.46(C2xM4(2))448,812
C14.47(C2xM4(2)) = C14xC22:C8central extension (φ=1)224C14.47(C2xM4(2))448,814
C14.48(C2xM4(2)) = C7xC24.4C4central extension (φ=1)112C14.48(C2xM4(2))448,815
C14.49(C2xM4(2)) = C14xC4:C8central extension (φ=1)448C14.49(C2xM4(2))448,830
C14.50(C2xM4(2)) = C7xC4:M4(2)central extension (φ=1)224C14.50(C2xM4(2))448,831
C14.51(C2xM4(2)) = C7xC42.12C4central extension (φ=1)224C14.51(C2xM4(2))448,839
C14.52(C2xM4(2)) = C7xC42.6C4central extension (φ=1)224C14.52(C2xM4(2))448,840
C14.53(C2xM4(2)) = C7xC8:9D4central extension (φ=1)224C14.53(C2xM4(2))448,843
C14.54(C2xM4(2)) = C7xC8:6D4central extension (φ=1)224C14.54(C2xM4(2))448,844
C14.55(C2xM4(2)) = C7xC8:4Q8central extension (φ=1)448C14.55(C2xM4(2))448,854

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