Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×Dic₇

Direct product G=N×Q with N=C₂² and Q=C₂²×Dic₇

		d	ρ	Label	ID
C₂⁴×Dic₇		448		C2^4xDic7	448,1383

Semidirect products G=N:Q with N=C₂² and Q=C₂²×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂²×Dic₇) = C₂×D₄×Dic₇	φ: C₂²×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	224		C2^2:1(C2^2xDic7)	448,1248
C₂²⋊₂(C₂²×Dic₇) = C₂²×C₂³.D₇	φ: C₂²×Dic₇/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	224		C2^2:2(C2^2xDic7)	448,1292

Non-split extensions G=N.Q with N=C₂² and Q=C₂²×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²×Dic₇) = C₂⁴.₃₈D₁₄	φ: C₂²×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	112		C2^2.1(C2^2xDic7)	448,1251
C₂².₂(C₂²×Dic₇) = C₂₈.₇₆C₂⁴	φ: C₂²×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.2(C2^2xDic7)	448,1272
C₂².₃(C₂²×Dic₇) = C₄○D₄×Dic₇	φ: C₂²×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	224		C2^2.3(C2^2xDic7)	448,1279
C₂².₄(C₂²×Dic₇) = C₁₄.₁₀₆2_-¹⁺⁴	φ: C₂²×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₂²	224		C2^2.4(C2^2xDic7)	448,1280
C₂².₅(C₂²×Dic₇) = C₂×C₂₈.D₄	φ: C₂²×Dic₇/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.5(C2^2xDic7)	448,750
C₂².₆(C₂²×Dic₇) = C₂×C₂³⋊Dic₇	φ: C₂²×Dic₇/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.6(C2^2xDic7)	448,753
C₂².₇(C₂²×Dic₇) = C₂×C₂₈.₁₀D₄	φ: C₂²×Dic₇/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.7(C2^2xDic7)	448,760
C₂².₈(C₂²×Dic₇) = (D₄×C₁₄).₁₆C₄	φ: C₂²×Dic₇/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.8(C2^2xDic7)	448,771
C₂².₉(C₂²×Dic₇) = (D₄×C₁₄)⋊₁₀C₄	φ: C₂²×Dic₇/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.9(C2^2xDic7)	448,774
C₂².₁₀(C₂²×Dic₇) = C₁₄.₄₂2_-¹⁺⁴	φ: C₂²×Dic₇/C₂²×C₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.10(C2^2xDic7)	448,1265
C₂².₁₁(C₂²×Dic₇) = C₂×C₄×C₇⋊C₈	central extension (φ=1)	448		C2^2.11(C2^2xDic7)	448,454
C₂².₁₂(C₂²×Dic₇) = C₂×C₄².D₇	central extension (φ=1)	448		C2^2.12(C2^2xDic7)	448,455
C₂².₁₃(C₂²×Dic₇) = C₄×C₄.Dic₇	central extension (φ=1)	224		C2^2.13(C2^2xDic7)	448,456
C₂².₁₄(C₂²×Dic₇) = C₂×C₂₈⋊C₈	central extension (φ=1)	448		C2^2.14(C2^2xDic7)	448,457
C₂².₁₅(C₂²×Dic₇) = C₄².₆Dic₇	central extension (φ=1)	224		C2^2.15(C2^2xDic7)	448,459
C₂².₁₆(C₂²×Dic₇) = C₄²×Dic₇	central extension (φ=1)	448		C2^2.16(C2^2xDic7)	448,464
C₂².₁₇(C₂²×Dic₇) = C₄²⋊₄Dic₇	central extension (φ=1)	448		C2^2.17(C2^2xDic7)	448,466
C₂².₁₈(C₂²×Dic₇) = C₄×C₄⋊Dic₇	central extension (φ=1)	448		C2^2.18(C2^2xDic7)	448,468
C₂².₁₉(C₂²×Dic₇) = C₂²⋊C₄×Dic₇	central extension (φ=1)	224		C2^2.19(C2^2xDic7)	448,475
C₂².₂₀(C₂²×Dic₇) = C₄⋊C₄×Dic₇	central extension (φ=1)	448		C2^2.20(C2^2xDic7)	448,509
C₂².₂₁(C₂²×Dic₇) = C₂₈.₅C₄²	central extension (φ=1)	224		C2^2.21(C2^2xDic7)	448,531
C₂².₂₂(C₂²×Dic₇) = D₄×C₇⋊C₈	central extension (φ=1)	224		C2^2.22(C2^2xDic7)	448,544
C₂².₂₃(C₂²×Dic₇) = Q₈×C₇⋊C₈	central extension (φ=1)	448		C2^2.23(C2^2xDic7)	448,557
C₂².₂₄(C₂²×Dic₇) = C₂×C₂₈.₅₅D₄	central extension (φ=1)	224		C2^2.24(C2^2xDic7)	448,740
C₂².₂₅(C₂²×Dic₇) = C₂×C₁₄.C₄²	central extension (φ=1)	448		C2^2.25(C2^2xDic7)	448,742
C₂².₂₆(C₂²×Dic₇) = C₄×C₂³.D₇	central extension (φ=1)	224		C2^2.26(C2^2xDic7)	448,743
C₂².₂₇(C₂²×Dic₇) = C₂³×C₇⋊C₈	central extension (φ=1)	448		C2^2.27(C2^2xDic7)	448,1233
C₂².₂₈(C₂²×Dic₇) = C₂²×C₄.Dic₇	central extension (φ=1)	224		C2^2.28(C2^2xDic7)	448,1234
C₂².₂₉(C₂²×Dic₇) = C₂²×C₄×Dic₇	central extension (φ=1)	448		C2^2.29(C2^2xDic7)	448,1235
C₂².₃₀(C₂²×Dic₇) = C₂²×C₄⋊Dic₇	central extension (φ=1)	448		C2^2.30(C2^2xDic7)	448,1238
C₂².₃₁(C₂²×Dic₇) = C₂×C₂³.₂₁D₁₄	central extension (φ=1)	224		C2^2.31(C2^2xDic7)	448,1239
C₂².₃₂(C₂²×Dic₇) = C₂×Q₈×Dic₇	central extension (φ=1)	448		C2^2.32(C2^2xDic7)	448,1264
C₂².₃₃(C₂²×Dic₇) = C₂×Q₈.Dic₇	central extension (φ=1)	224		C2^2.33(C2^2xDic7)	448,1271
C₂².₃₄(C₂²×Dic₇) = C₂₈⋊₇M₄(2)	central stem extension (φ=1)	224		C2^2.34(C2^2xDic7)	448,458
C₂².₃₅(C₂²×Dic₇) = C₄².₇Dic₇	central stem extension (φ=1)	224		C2^2.35(C2^2xDic7)	448,460
C₂².₃₆(C₂²×Dic₇) = C₄²⋊₈Dic₇	central stem extension (φ=1)	448		C2^2.36(C2^2xDic7)	448,469
C₂².₃₇(C₂²×Dic₇) = C₄²⋊₉Dic₇	central stem extension (φ=1)	448		C2^2.37(C2^2xDic7)	448,470
C₂².₃₈(C₂²×Dic₇) = C₄²⋊₅Dic₇	central stem extension (φ=1)	448		C2^2.38(C2^2xDic7)	448,471
C₂².₃₉(C₂²×Dic₇) = C₂⁴.₄₇D₁₄	central stem extension (φ=1)	224		C2^2.39(C2^2xDic7)	448,484
C₂².₄₀(C₂²×Dic₇) = C₂⁴.₈D₁₄	central stem extension (φ=1)	224		C2^2.40(C2^2xDic7)	448,485
C₂².₄₁(C₂²×Dic₇) = C₄⋊C₄⋊₅Dic₇	central stem extension (φ=1)	448		C2^2.41(C2^2xDic7)	448,515
C₂².₄₂(C₂²×Dic₇) = C₄⋊(C₄⋊Dic₇)	central stem extension (φ=1)	448		C2^2.42(C2^2xDic7)	448,519
C₂².₄₃(C₂²×Dic₇) = C₄².₄₃D₁₄	central stem extension (φ=1)	224		C2^2.43(C2^2xDic7)	448,533
C₂².₄₄(C₂²×Dic₇) = C₄².₁₈₇D₁₄	central stem extension (φ=1)	224		C2^2.44(C2^2xDic7)	448,534
C₂².₄₅(C₂²×Dic₇) = C₄².₄₇D₁₄	central stem extension (φ=1)	224		C2^2.45(C2^2xDic7)	448,545
C₂².₄₆(C₂²×Dic₇) = C₂₈⋊₃M₄(2)	central stem extension (φ=1)	224		C2^2.46(C2^2xDic7)	448,546
C₂².₄₇(C₂²×Dic₇) = C₄².₂₁₀D₁₄	central stem extension (φ=1)	448		C2^2.47(C2^2xDic7)	448,558
C₂².₄₈(C₂²×Dic₇) = C₂⁴.₄Dic₇	central stem extension (φ=1)	112		C2^2.48(C2^2xDic7)	448,741
C₂².₄₉(C₂²×Dic₇) = C₂⁴.₆₃D₁₄	central stem extension (φ=1)	224		C2^2.49(C2^2xDic7)	448,745
C₂².₅₀(C₂²×Dic₇) = C₂³.₂₇D₂₈	central stem extension (φ=1)	224		C2^2.50(C2^2xDic7)	448,746
C₂².₅₁(C₂²×Dic₇) = C₂⁴.₁₈D₁₄	central stem extension (φ=1)	224		C2^2.51(C2^2xDic7)	448,754
C₂².₅₂(C₂²×Dic₇) = C₂⁴.₁₉D₁₄	central stem extension (φ=1)	224		C2^2.52(C2^2xDic7)	448,755
C₂².₅₃(C₂²×Dic₇) = (Q₈×C₁₄)⋊₇C₄	central stem extension (φ=1)	448		C2^2.53(C2^2xDic7)	448,764
C₂².₅₄(C₂²×Dic₇) = (D₄×C₁₄).₁₁C₄	central stem extension (φ=1)	224		C2^2.54(C2^2xDic7)	448,768
C₂².₅₅(C₂²×Dic₇) = C₂⁵.D₇	central stem extension (φ=1)	112		C2^2.55(C2^2xDic7)	448,781

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Extensions 1→N→G→Q→1 with N=C22 and Q=C22×Dic7

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×Dic₇