Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇×C₄○D₄

Direct product G=N×Q with N=C₂² and Q=C₇×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₄		224		C4oD4xC2xC14	448,1388

Semidirect products G=N:Q with N=C₂² and Q=C₇×C₄○D₄

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(C₇×C₄○D₄) = C₇×C₂².₁₉C₂⁴	φ: C₇×C₄○D₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112	C2^2:1(C7xC4oD4)	448,1308
C₂²⋊₂(C₇×C₄○D₄) = C₇×D₄⋊₅D₄	φ: C₇×C₄○D₄/C₇×D₄ → C₂ ⊆ Aut C₂²	112	C2^2:2(C7xC4oD4)	448,1329
C₂²⋊₃(C₇×C₄○D₄) = C₇×Q₈⋊₅D₄	φ: C₇×C₄○D₄/C₇×Q₈ → C₂ ⊆ Aut C₂²	224	C2^2:3(C7xC4oD4)	448,1331

Non-split extensions G=N.Q with N=C₂² and Q=C₇×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₇×C₄○D₄) = C₇×C₈○D₈	φ: C₇×C₄○D₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112	2	C2^2.1(C7xC4oD4)	448,851
C₂².₂(C₇×C₄○D₄) = C₇×C₈.₂₆D₄	φ: C₇×C₄○D₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112	4	C2^2.2(C7xC4oD4)	448,852
C₂².₃(C₇×C₄○D₄) = C₇×C₂³.₃₆C₂³	φ: C₇×C₄○D₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.3(C7xC4oD4)	448,1312
C₂².₄(C₇×C₄○D₄) = C₇×C₂².₃₂C₂⁴	φ: C₇×C₄○D₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2.4(C7xC4oD4)	448,1321
C₂².₅(C₇×C₄○D₄) = C₇×C₂².₃₃C₂⁴	φ: C₇×C₄○D₄/C₂×C₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.5(C7xC4oD4)	448,1322
C₂².₆(C₇×C₄○D₄) = C₇×D₄.₃D₄	φ: C₇×C₄○D₄/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.6(C7xC4oD4)	448,879
C₂².₇(C₇×C₄○D₄) = C₇×D₄.₄D₄	φ: C₇×C₄○D₄/C₇×D₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.7(C7xC4oD4)	448,880
C₂².₈(C₇×C₄○D₄) = C₇×D₄.₅D₄	φ: C₇×C₄○D₄/C₇×D₄ → C₂ ⊆ Aut C₂²	224	4	C2^2.8(C7xC4oD4)	448,881
C₂².₉(C₇×C₄○D₄) = C₇×C₂².₄₅C₂⁴	φ: C₇×C₄○D₄/C₇×D₄ → C₂ ⊆ Aut C₂²	112		C2^2.9(C7xC4oD4)	448,1334
C₂².₁₀(C₇×C₄○D₄) = C₇×C₂².₄₆C₂⁴	φ: C₇×C₄○D₄/C₇×D₄ → C₂ ⊆ Aut C₂²	224		C2^2.10(C7xC4oD4)	448,1335
C₂².₁₁(C₇×C₄○D₄) = C₇×C₂².₄₇C₂⁴	φ: C₇×C₄○D₄/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2.11(C7xC4oD4)	448,1336
C₂².₁₂(C₇×C₄○D₄) = C₇×C₄²⋊₄C₄	central extension (φ=1)	448		C2^2.12(C7xC4oD4)	448,784
C₂².₁₃(C₇×C₄○D₄) = C₂²⋊C₄×C₂₈	central extension (φ=1)	224		C2^2.13(C7xC4oD4)	448,785
C₂².₁₄(C₇×C₄○D₄) = C₄⋊C₄×C₂₈	central extension (φ=1)	448		C2^2.14(C7xC4oD4)	448,786
C₂².₁₅(C₇×C₄○D₄) = C₇×C₂³.₇Q₈	central extension (φ=1)	224		C2^2.15(C7xC4oD4)	448,788
C₂².₁₆(C₇×C₄○D₄) = C₇×C₂³.₃₄D₄	central extension (φ=1)	224		C2^2.16(C7xC4oD4)	448,789
C₂².₁₇(C₇×C₄○D₄) = C₇×C₄²⋊₈C₄	central extension (φ=1)	448		C2^2.17(C7xC4oD4)	448,790
C₂².₁₈(C₇×C₄○D₄) = C₇×C₄²⋊₅C₄	central extension (φ=1)	448		C2^2.18(C7xC4oD4)	448,791
C₂².₁₉(C₇×C₄○D₄) = C₇×C₂³.₈Q₈	central extension (φ=1)	224		C2^2.19(C7xC4oD4)	448,793
C₂².₂₀(C₇×C₄○D₄) = C₇×C₂³.₂₃D₄	central extension (φ=1)	224		C2^2.20(C7xC4oD4)	448,794
C₂².₂₁(C₇×C₄○D₄) = C₇×C₂³.₆₃C₂³	central extension (φ=1)	448		C2^2.21(C7xC4oD4)	448,795
C₂².₂₂(C₇×C₄○D₄) = C₇×C₂⁴.C₂²	central extension (φ=1)	224		C2^2.22(C7xC4oD4)	448,796
C₂².₂₃(C₇×C₄○D₄) = C₇×C₂³.₆₅C₂³	central extension (φ=1)	448		C2^2.23(C7xC4oD4)	448,797
C₂².₂₄(C₇×C₄○D₄) = C₇×C₂⁴.₃C₂²	central extension (φ=1)	224		C2^2.24(C7xC4oD4)	448,798
C₂².₂₅(C₇×C₄○D₄) = C₇×C₂³.₆₇C₂³	central extension (φ=1)	448		C2^2.25(C7xC4oD4)	448,799
C₂².₂₆(C₇×C₄○D₄) = C₁₄×C₄²⋊C₂	central extension (φ=1)	224		C2^2.26(C7xC4oD4)	448,1297
C₂².₂₇(C₇×C₄○D₄) = D₄×C₂×C₂₈	central extension (φ=1)	224		C2^2.27(C7xC4oD4)	448,1298
C₂².₂₈(C₇×C₄○D₄) = Q₈×C₂×C₂₈	central extension (φ=1)	448		C2^2.28(C7xC4oD4)	448,1299
C₂².₂₉(C₇×C₄○D₄) = C₁₄×C₄⋊D₄	central extension (φ=1)	224		C2^2.29(C7xC4oD4)	448,1305
C₂².₃₀(C₇×C₄○D₄) = C₁₄×C₂²⋊Q₈	central extension (φ=1)	224		C2^2.30(C7xC4oD4)	448,1306
C₂².₃₁(C₇×C₄○D₄) = C₁₄×C₂².D₄	central extension (φ=1)	224		C2^2.31(C7xC4oD4)	448,1307
C₂².₃₂(C₇×C₄○D₄) = C₁₄×C₄.₄D₄	central extension (φ=1)	224		C2^2.32(C7xC4oD4)	448,1309
C₂².₃₃(C₇×C₄○D₄) = C₁₄×C₄².C₂	central extension (φ=1)	448		C2^2.33(C7xC4oD4)	448,1310
C₂².₃₄(C₇×C₄○D₄) = C₁₄×C₄²⋊₂C₂	central extension (φ=1)	224		C2^2.34(C7xC4oD4)	448,1311
C₂².₃₅(C₇×C₄○D₄) = C₇×C₂³⋊₂D₄	central stem extension (φ=1)	224		C2^2.35(C7xC4oD4)	448,800
C₂².₃₆(C₇×C₄○D₄) = C₇×C₂³⋊Q₈	central stem extension (φ=1)	224		C2^2.36(C7xC4oD4)	448,801
C₂².₃₇(C₇×C₄○D₄) = C₇×C₂³.₁₀D₄	central stem extension (φ=1)	224		C2^2.37(C7xC4oD4)	448,802
C₂².₃₈(C₇×C₄○D₄) = C₇×C₂³.₇₈C₂³	central stem extension (φ=1)	448		C2^2.38(C7xC4oD4)	448,803
C₂².₃₉(C₇×C₄○D₄) = C₇×C₂³.Q₈	central stem extension (φ=1)	224		C2^2.39(C7xC4oD4)	448,804
C₂².₄₀(C₇×C₄○D₄) = C₇×C₂³.₁₁D₄	central stem extension (φ=1)	224		C2^2.40(C7xC4oD4)	448,805
C₂².₄₁(C₇×C₄○D₄) = C₇×C₂³.₈₁C₂³	central stem extension (φ=1)	448		C2^2.41(C7xC4oD4)	448,806
C₂².₄₂(C₇×C₄○D₄) = C₇×C₂³.₄Q₈	central stem extension (φ=1)	224		C2^2.42(C7xC4oD4)	448,807
C₂².₄₃(C₇×C₄○D₄) = C₇×C₂³.₈₃C₂³	central stem extension (φ=1)	448		C2^2.43(C7xC4oD4)	448,808
C₂².₄₄(C₇×C₄○D₄) = C₇×C₂³.₈₄C₂³	central stem extension (φ=1)	448		C2^2.44(C7xC4oD4)	448,809

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C7×C4○D4

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇×C₄○D₄