Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₁₄

Direct product G=N×Q with N=C₂⁴ and Q=D₁₄

		d	ρ	Label	ID
D₇×C₂⁵		224		D7xC2^5	448,1395

Semidirect products G=N:Q with N=C₂⁴ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊₁D₁₄ = C₂⁴⋊D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	56	4	C2^4:1D14	448,566
C₂⁴⋊₂D₁₄ = C₂⁴⋊₂D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112		C2^4:2D14	448,1042
C₂⁴⋊₃D₁₄ = C₂⁴⋊₃D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112		C2^4:3D14	448,1043
C₂⁴⋊₄D₁₄ = C₂⁴⋊₄D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112		C2^4:4D14	448,1047
C₂⁴⋊₅D₁₄ = C₂×C₂³⋊D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112		C2^4:5D14	448,1252
C₂⁴⋊₆D₁₄ = D₄×C₇⋊D₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112		C2^4:6D14	448,1254
C₂⁴⋊₇D₁₄ = C₂⁴⋊₇D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112		C2^4:7D14	448,1257
C₂⁴⋊₈D₁₄ = C₂×D₄⋊₆D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112		C2^4:8D14	448,1371
C₂⁴⋊₉D₁₄ = D₇×C₂²≀C₂	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	56		C2^4:9D14	448,1041
C₂⁴⋊₁₀D₁₄ = C₂²×D₄×D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	112		C2^4:10D14	448,1369
C₂⁴⋊₁₁D₁₄ = C₂×C₂⁴⋊D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	112		C2^4:11D14	448,1293
C₂⁴⋊₁₂D₁₄ = C₂³×C₇⋊D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224		C2^4:12D14	448,1384

Non-split extensions G=N.Q with N=C₂⁴ and Q=D₁₄

extension	φ:Q→Aut N	d	Label	ID
C₂⁴.₁D₁₄ = C₂⁴.D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.1D14	448,83
C₂⁴.₂D₁₄ = C₂⁴.₂D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.2D14	448,84
C₂⁴.₃D₁₄ = C₂⁴.₃D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.3D14	448,478
C₂⁴.₄D₁₄ = C₂⁴.₄D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.4D14	448,479
C₂⁴.₅D₁₄ = C₂³⋊Dic₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.5D14	448,481
C₂⁴.₆D₁₄ = C₂⁴.₆D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.6D14	448,482
C₂⁴.₇D₁₄ = C₂⁴.₇D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.7D14	448,483
C₂⁴.₈D₁₄ = C₂⁴.₈D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.8D14	448,485
C₂⁴.₉D₁₄ = C₂⁴.₉D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.9D14	448,486
C₂⁴.₁₀D₁₄ = C₂⁴.₁₀D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.10D14	448,487
C₂⁴.₁₁D₁₄ = C₂×C₂³.₁D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.11D14	448,488
C₂⁴.₁₂D₁₄ = C₂⁴.₁₂D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.12D14	448,490
C₂⁴.₁₃D₁₄ = C₂⁴.₁₃D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.13D14	448,491
C₂⁴.₁₄D₁₄ = C₂⁴.₁₄D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.14D14	448,493
C₂⁴.₁₅D₁₄ = C₂³⋊₂D₂₈	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.15D14	448,494
C₂⁴.₁₆D₁₄ = C₂³.₁₆D₂₈	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.16D14	448,495
C₂⁴.₁₇D₁₄ = C₂×C₂³⋊Dic₇	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.17D14	448,753
C₂⁴.₁₈D₁₄ = C₂⁴.₁₈D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.18D14	448,754
C₂⁴.₁₉D₁₄ = C₂⁴.₁₉D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.19D14	448,755
C₂⁴.₂₀D₁₄ = C₂⁴.₂₀D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.20D14	448,756
C₂⁴.₂₁D₁₄ = C₂⁴.₂₁D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.21D14	448,757
C₂⁴.₂₂D₁₄ = C₂×C₂³.D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.22D14	448,935
C₂⁴.₂₃D₁₄ = C₂³⋊₂Dic₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.23D14	448,936
C₂⁴.₂₄D₁₄ = C₂⁴.₂₄D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.24D14	448,939
C₂⁴.₂₅D₁₄ = C₂×D₁₄.D₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.25D14	448,941
C₂⁴.₂₆D₁₄ = C₂×D₁₄⋊D₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.26D14	448,942
C₂⁴.₂₇D₁₄ = C₂⁴.₂₇D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.27D14	448,943
C₂⁴.₂₈D₁₄ = C₂×Dic₇.D₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.28D14	448,944
C₂⁴.₂₉D₁₄ = C₂³⋊₃D₂₈	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.29D14	448,946
C₂⁴.₃₀D₁₄ = C₂⁴.₃₀D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.30D14	448,947
C₂⁴.₃₁D₁₄ = C₂⁴.₃₁D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.31D14	448,948
C₂⁴.₃₂D₁₄ = C₂⁴.₃₂D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.32D14	448,1040
C₂⁴.₃₃D₁₄ = C₂⁴.₃₃D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.33D14	448,1044
C₂⁴.₃₄D₁₄ = C₂⁴.₃₄D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.34D14	448,1045
C₂⁴.₃₅D₁₄ = C₂⁴.₃₅D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.35D14	448,1046
C₂⁴.₃₆D₁₄ = C₂⁴.₃₆D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.36D14	448,1048
C₂⁴.₃₇D₁₄ = C₂×C₂₈.₁₇D₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.37D14	448,1250
C₂⁴.₃₈D₁₄ = C₂⁴.₃₈D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.38D14	448,1251
C₂⁴.₃₉D₁₄ = C₂×C₂₈⋊₂D₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.39D14	448,1253
C₂⁴.₄₀D₁₄ = C₂×C₂₈⋊D₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	224	C2^4.40D14	448,1256
C₂⁴.₄₁D₁₄ = C₂⁴.₄₁D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.41D14	448,1258
C₂⁴.₄₂D₁₄ = C₂⁴.₄₂D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₂⁴	112	C2^4.42D14	448,1259
C₂⁴.₄₃D₁₄ = C₂²⋊C₄×Dic₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.43D14	448,475
C₂⁴.₄₄D₁₄ = C₂⁴.₄₄D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.44D14	448,476
C₂⁴.₄₅D₁₄ = C₂³.₄₂D₂₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.45D14	448,477
C₂⁴.₄₆D₁₄ = C₂⁴.₄₆D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.46D14	448,480
C₂⁴.₄₇D₁₄ = C₂⁴.₄₇D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.47D14	448,484
C₂⁴.₄₈D₁₄ = C₂³.₄₄D₂₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	112	C2^4.48D14	448,489
C₂⁴.₄₉D₁₄ = C₂³.₄₅D₂₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.49D14	448,492
C₂⁴.₅₀D₁₄ = C₂×C₂³.₁₁D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.50D14	448,933
C₂⁴.₅₁D₁₄ = C₂×C₂²⋊Dic₁₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.51D14	448,934
C₂⁴.₅₂D₁₄ = C₂×D₇×C₂²⋊C₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	112	C2^4.52D14	448,937
C₂⁴.₅₃D₁₄ = C₂×Dic₇⋊₄D₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.53D14	448,938
C₂⁴.₅₄D₁₄ = C₂×C₂²⋊D₂₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	112	C2^4.54D14	448,940
C₂⁴.₅₅D₁₄ = C₂×C₂².D₂₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.55D14	448,945
C₂⁴.₅₆D₁₄ = C₂⁴.₅₆D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	112	C2^4.56D14	448,1039
C₂⁴.₅₇D₁₄ = C₂×D₄×Dic₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.57D14	448,1248
C₂⁴.₅₈D₁₄ = C₂×C₂³.₁₈D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.58D14	448,1249
C₂⁴.₅₉D₁₄ = C₂×Dic₇⋊D₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.59D14	448,1255
C₂⁴.₆₀D₁₄ = C₂²×D₄⋊₂D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₂⁴	224	C2^4.60D14	448,1370
C₂⁴.₆₁D₁₄ = C₄×C₂³.D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.61D14	448,743
C₂⁴.₆₂D₁₄ = C₂⁴.₆₂D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.62D14	448,744
C₂⁴.₆₃D₁₄ = C₂⁴.₆₃D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.63D14	448,745
C₂⁴.₆₄D₁₄ = C₂³.₂₇D₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.64D14	448,746
C₂⁴.₆₅D₁₄ = C₂³.₂₈D₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.65D14	448,747
C₂⁴.₆₆D₁₄ = C₂⁵.D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	112	C2^4.66D14	448,781
C₂⁴.₆₇D₁₄ = C₂×C₂₈.₄₈D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.67D14	448,1237
C₂⁴.₆₈D₁₄ = C₂×C₂³.₂₁D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.68D14	448,1239
C₂⁴.₆₉D₁₄ = C₂×C₄×C₇⋊D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.69D14	448,1241
C₂⁴.₇₀D₁₄ = C₂×C₂³.₂₃D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.70D14	448,1242
C₂⁴.₇₁D₁₄ = C₂×C₂₈⋊₇D₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.71D14	448,1243
C₂⁴.₇₂D₁₄ = C₂⁴.₇₂D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	112	C2^4.72D14	448,1244
C₂⁴.₇₃D₁₄ = C₂²×C₄○D₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₂⁴	224	C2^4.73D14	448,1368
C₂⁴.₇₄D₁₄ = C₂×C₁₄.C₄²	central extension (φ=1)	448	C2^4.74D14	448,742
C₂⁴.₇₅D₁₄ = C₂²×C₄×Dic₇	central extension (φ=1)	448	C2^4.75D14	448,1235
C₂⁴.₇₆D₁₄ = C₂²×Dic₇⋊C₄	central extension (φ=1)	448	C2^4.76D14	448,1236
C₂⁴.₇₇D₁₄ = C₂²×C₄⋊Dic₇	central extension (φ=1)	448	C2^4.77D14	448,1238
C₂⁴.₇₈D₁₄ = C₂²×D₁₄⋊C₄	central extension (φ=1)	224	C2^4.78D14	448,1240
C₂⁴.₇₉D₁₄ = C₂²×C₂³.D₇	central extension (φ=1)	224	C2^4.79D14	448,1292
C₂⁴.₈₀D₁₄ = C₂³×Dic₁₄	central extension (φ=1)	448	C2^4.80D14	448,1365
C₂⁴.₈₁D₁₄ = D₇×C₂³×C₄	central extension (φ=1)	224	C2^4.81D14	448,1366
C₂⁴.₈₂D₁₄ = C₂³×D₂₈	central extension (φ=1)	224	C2^4.82D14	448,1367
C₂⁴.₈₃D₁₄ = C₂⁴×Dic₇	central extension (φ=1)	448	C2^4.83D14	448,1383

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Extensions 1→N→G→Q→1 with N=C24 and Q=D14

Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₁₄