Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂×C₁₄

Direct product G=N×Q with N=C₄² and Q=C₂×C₁₄

		d	ρ	Label	ID
C₂²×C₄×C₂₈		448		C2^2xC4xC28	448,1294

Semidirect products G=N:Q with N=C₄² and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁(C₂×C₁₄) = C₇×C₄²⋊C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112	4	C4^2:1(C2xC14)	448,829
C₄²⋊₂(C₂×C₁₄) = C₇×D₄⋊₄D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	56	4	C4^2:2(C2xC14)	448,861
C₄²⋊₃(C₂×C₁₄) = C₇×D₄.₉D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112	4	C4^2:3(C2xC14)	448,863
C₄²⋊₄(C₂×C₁₄) = C₇×C₂².₁₁C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:4(C2xC14)	448,1301
C₄²⋊₅(C₂×C₁₄) = C₇×C₂².₁₉C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:5(C2xC14)	448,1308
C₄²⋊₆(C₂×C₁₄) = C₇×C₂².₂₉C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:6(C2xC14)	448,1318
C₄²⋊₇(C₂×C₁₄) = C₇×C₂².₃₂C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:7(C2xC14)	448,1321
C₄²⋊₈(C₂×C₁₄) = C₇×D₄²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:8(C2xC14)	448,1328
C₄²⋊₉(C₂×C₁₄) = C₇×D₄⋊₅D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:9(C2xC14)	448,1329
C₄²⋊₁₀(C₂×C₁₄) = C₇×C₂².₄₅C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:10(C2xC14)	448,1334
C₄²⋊₁₁(C₂×C₁₄) = C₇×C₂².₅₄C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:11(C2xC14)	448,1343
C₄²⋊₁₂(C₂×C₁₄) = C₇×C₂⁴⋊C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112		C4^2:12(C2xC14)	448,1344
C₄²⋊₁₃(C₂×C₁₄) = C₁₄×C₄²⋊C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2:13(C2xC14)	448,1297
C₄²⋊₁₄(C₂×C₁₄) = C₁₄×C₄²⋊₂C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2:14(C2xC14)	448,1311
C₄²⋊₁₅(C₂×C₁₄) = C₁₄×C₄≀C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	112		C4^2:15(C2xC14)	448,828
C₄²⋊₁₆(C₂×C₁₄) = D₄×C₂×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2:16(C2xC14)	448,1298
C₄²⋊₁₇(C₂×C₁₄) = C₁₄×C₄.₄D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2:17(C2xC14)	448,1309
C₄²⋊₁₈(C₂×C₁₄) = C₁₄×C₄⋊₁D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2:18(C2xC14)	448,1313

Non-split extensions G=N.Q with N=C₄² and Q=C₂×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁(C₂×C₁₄) = C₇×C₄².C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.1(C2xC14)	448,133
C₄².₂(C₂×C₁₄) = C₇×C₄².₂C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.2(C2xC14)	448,134
C₄².₃(C₂×C₁₄) = C₇×C₄.D₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.3(C2xC14)	448,135
C₄².₄(C₂×C₁₄) = C₇×C₄.₁₀D₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.4(C2xC14)	448,136
C₄².₅(C₂×C₁₄) = C₇×C₄.₆Q₁₆	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.5(C2xC14)	448,137
C₄².₆(C₂×C₁₄) = C₇×C₄².₆C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.6(C2xC14)	448,832
C₄².₇(C₂×C₁₄) = C₇×C₈⋊₉D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.7(C2xC14)	448,843
C₄².₈(C₂×C₁₄) = C₇×SD₁₆⋊C₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.8(C2xC14)	448,848
C₄².₉(C₂×C₁₄) = C₇×Q₁₆⋊C₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.9(C2xC14)	448,849
C₄².₁₀(C₂×C₁₄) = C₇×D₈⋊C₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.10(C2xC14)	448,850
C₄².₁₁(C₂×C₁₄) = C₇×C₈.₂₆D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112	4	C4^2.11(C2xC14)	448,852
C₄².₁₂(C₂×C₁₄) = C₇×D₄.₈D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112	4	C4^2.12(C2xC14)	448,862
C₄².₁₃(C₂×C₁₄) = C₇×D₄.₁₀D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	112	4	C4^2.13(C2xC14)	448,864
C₄².₁₄(C₂×C₁₄) = C₇×C₄⋊D₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.14(C2xC14)	448,867
C₄².₁₅(C₂×C₁₄) = C₇×C₄⋊SD₁₆	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.15(C2xC14)	448,868
C₄².₁₆(C₂×C₁₄) = C₇×D₄.D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.16(C2xC14)	448,869
C₄².₁₇(C₂×C₁₄) = C₇×C₄⋊₂Q₁₆	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.17(C2xC14)	448,870
C₄².₁₈(C₂×C₁₄) = C₇×D₄.₂D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.18(C2xC14)	448,871
C₄².₁₉(C₂×C₁₄) = C₇×Q₈.D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.19(C2xC14)	448,872
C₄².₂₀(C₂×C₁₄) = C₇×D₄⋊Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.20(C2xC14)	448,882
C₄².₂₁(C₂×C₁₄) = C₇×Q₈⋊Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.21(C2xC14)	448,883
C₄².₂₂(C₂×C₁₄) = C₇×D₄⋊₂Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.22(C2xC14)	448,884
C₄².₂₃(C₂×C₁₄) = C₇×C₄.Q₁₆	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.23(C2xC14)	448,885
C₄².₂₄(C₂×C₁₄) = C₇×D₄.Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.24(C2xC14)	448,886
C₄².₂₅(C₂×C₁₄) = C₇×Q₈.Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.25(C2xC14)	448,887
C₄².₂₆(C₂×C₁₄) = C₇×C₄².₂₈C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.26(C2xC14)	448,897
C₄².₂₇(C₂×C₁₄) = C₇×C₄².₂₉C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.27(C2xC14)	448,898
C₄².₂₈(C₂×C₁₄) = C₇×C₄².₃₀C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.28(C2xC14)	448,899
C₄².₂₉(C₂×C₁₄) = C₇×C₈⋊₃D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.29(C2xC14)	448,904
C₄².₃₀(C₂×C₁₄) = C₇×C₈.₂D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.30(C2xC14)	448,905
C₄².₃₁(C₂×C₁₄) = C₇×C₈⋊Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.31(C2xC14)	448,909
C₄².₃₂(C₂×C₁₄) = C₇×C₂³.₃₂C₂³	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.32(C2xC14)	448,1302
C₄².₃₃(C₂×C₁₄) = C₇×C₂³.₃₃C₂³	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.33(C2xC14)	448,1303
C₄².₃₄(C₂×C₁₄) = C₇×C₂³.₃₆C₂³	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.34(C2xC14)	448,1312
C₄².₃₅(C₂×C₁₄) = C₇×C₂³.₃₇C₂³	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.35(C2xC14)	448,1316
C₄².₃₆(C₂×C₁₄) = C₇×C₂³.₃₈C₂³	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.36(C2xC14)	448,1319
C₄².₃₇(C₂×C₁₄) = C₇×C₂².₃₃C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.37(C2xC14)	448,1322
C₄².₃₈(C₂×C₁₄) = C₇×C₂².₃₄C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.38(C2xC14)	448,1323
C₄².₃₉(C₂×C₁₄) = C₇×C₂².₃₅C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.39(C2xC14)	448,1324
C₄².₄₀(C₂×C₁₄) = C₇×C₂².₃₆C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.40(C2xC14)	448,1325
C₄².₄₁(C₂×C₁₄) = C₇×C₂³.₄₁C₂³	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.41(C2xC14)	448,1327
C₄².₄₂(C₂×C₁₄) = C₇×D₄⋊₆D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.42(C2xC14)	448,1330
C₄².₄₃(C₂×C₁₄) = C₇×Q₈⋊₅D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.43(C2xC14)	448,1331
C₄².₄₄(C₂×C₁₄) = C₇×D₄×Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.44(C2xC14)	448,1332
C₄².₄₅(C₂×C₁₄) = C₇×Q₈⋊₆D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.45(C2xC14)	448,1333
C₄².₄₆(C₂×C₁₄) = C₇×C₂².₄₆C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.46(C2xC14)	448,1335
C₄².₄₇(C₂×C₁₄) = C₇×C₂².₄₇C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.47(C2xC14)	448,1336
C₄².₄₈(C₂×C₁₄) = C₇×D₄⋊₃Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.48(C2xC14)	448,1337
C₄².₄₉(C₂×C₁₄) = C₇×C₂².₄₉C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.49(C2xC14)	448,1338
C₄².₅₀(C₂×C₁₄) = C₇×C₂².₅₀C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.50(C2xC14)	448,1339
C₄².₅₁(C₂×C₁₄) = C₇×Q₈⋊₃Q₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.51(C2xC14)	448,1340
C₄².₅₂(C₂×C₁₄) = C₇×Q₈²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.52(C2xC14)	448,1341
C₄².₅₃(C₂×C₁₄) = C₇×C₂².₅₃C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.53(C2xC14)	448,1342
C₄².₅₄(C₂×C₁₄) = C₇×C₂².₅₆C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.54(C2xC14)	448,1345
C₄².₅₅(C₂×C₁₄) = C₇×C₂².₅₇C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	224		C4^2.55(C2xC14)	448,1346
C₄².₅₆(C₂×C₁₄) = C₇×C₂².₅₈C₂⁴	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₄²	448		C4^2.56(C2xC14)	448,1347
C₄².₅₇(C₂×C₁₄) = C₁₄×C₈⋊C₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.57(C2xC14)	448,811
C₄².₅₈(C₂×C₁₄) = M₄(2)×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.58(C2xC14)	448,812
C₄².₅₉(C₂×C₁₄) = C₇×C₈○₂M₄(2)	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.59(C2xC14)	448,813
C₄².₆₀(C₂×C₁₄) = C₇×C₄².₆C₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.60(C2xC14)	448,840
C₄².₆₁(C₂×C₁₄) = C₇×C₄².₇C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.61(C2xC14)	448,841
C₄².₆₂(C₂×C₁₄) = C₇×D₄⋊C₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.62(C2xC14)	448,129
C₄².₆₃(C₂×C₁₄) = C₇×Q₈⋊C₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.63(C2xC14)	448,130
C₄².₆₄(C₂×C₁₄) = C₇×C₈⋊₂C₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.64(C2xC14)	448,138
C₄².₆₅(C₂×C₁₄) = C₇×C₈⋊₁C₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.65(C2xC14)	448,139
C₄².₆₆(C₂×C₁₄) = C₁₄×C₄⋊C₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.66(C2xC14)	448,830
C₄².₆₇(C₂×C₁₄) = C₇×C₄⋊M₄(2)	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.67(C2xC14)	448,831
C₄².₆₈(C₂×C₁₄) = D₄×C₅₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.68(C2xC14)	448,842
C₄².₆₉(C₂×C₁₄) = C₇×C₈⋊₆D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.69(C2xC14)	448,844
C₄².₇₀(C₂×C₁₄) = D₈×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.70(C2xC14)	448,845
C₄².₇₁(C₂×C₁₄) = SD₁₆×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.71(C2xC14)	448,846
C₄².₇₂(C₂×C₁₄) = Q₁₆×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.72(C2xC14)	448,847
C₄².₇₃(C₂×C₁₄) = C₇×C₈○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	112	2	C4^2.73(C2xC14)	448,851
C₄².₇₄(C₂×C₁₄) = Q₈×C₅₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.74(C2xC14)	448,853
C₄².₇₅(C₂×C₁₄) = C₇×C₈⋊₄Q₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.75(C2xC14)	448,854
C₄².₇₆(C₂×C₁₄) = C₇×C₄.₄D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.76(C2xC14)	448,894
C₄².₇₇(C₂×C₁₄) = C₇×C₄.SD₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.77(C2xC14)	448,895
C₄².₇₈(C₂×C₁₄) = C₇×C₄².₇₈C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.78(C2xC14)	448,896
C₄².₇₉(C₂×C₁₄) = C₇×C₈⋊₅D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.79(C2xC14)	448,900
C₄².₈₀(C₂×C₁₄) = C₇×C₈⋊₄D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.80(C2xC14)	448,901
C₄².₈₁(C₂×C₁₄) = C₇×C₄⋊Q₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.81(C2xC14)	448,902
C₄².₈₂(C₂×C₁₄) = C₇×C₈.₁₂D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.82(C2xC14)	448,903
C₄².₈₃(C₂×C₁₄) = C₇×C₈⋊₃Q₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.83(C2xC14)	448,906
C₄².₈₄(C₂×C₁₄) = C₇×C₈.₅Q₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.84(C2xC14)	448,907
C₄².₈₅(C₂×C₁₄) = C₇×C₈⋊₂Q₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.85(C2xC14)	448,908
C₄².₈₆(C₂×C₁₄) = Q₈×C₂×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.86(C2xC14)	448,1299
C₄².₈₇(C₂×C₁₄) = C₄○D₄×C₂₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.87(C2xC14)	448,1300
C₄².₈₈(C₂×C₁₄) = C₁₄×C₄².C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.88(C2xC14)	448,1310
C₄².₈₉(C₂×C₁₄) = C₁₄×C₄⋊Q₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	448		C4^2.89(C2xC14)	448,1314
C₄².₉₀(C₂×C₁₄) = C₇×C₂².₂₆C₂⁴	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₄²	224		C4^2.90(C2xC14)	448,1315
C₄².₉₁(C₂×C₁₄) = C₇×C₈⋊C₈	central extension (φ=1)	448		C4^2.91(C2xC14)	448,126
C₄².₉₂(C₂×C₁₄) = C₇×C₄².₁₂C₄	central extension (φ=1)	224		C4^2.92(C2xC14)	448,839

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Extensions 1→N→G→Q→1 with N=C42 and Q=C2×C14

Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂×C₁₄