Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₄×D₇

Direct product G=N×Q with N=C₂³ and Q=C₄×D₇

		d	ρ	Label	ID
D₇×C₂³×C₄		224		D7xC2^3xC4	448,1366

Semidirect products G=N:Q with N=C₂³ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁(C₄×D₇) = D₇×C₂³⋊C₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂³	56	8+	C2^3:1(C4xD7)	448,277
C₂³⋊₂(C₄×D₇) = C₂⁴.₁₂D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3:2(C4xD7)	448,490
C₂³⋊₃(C₄×D₇) = C₂⁴.₂₄D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	112		C2^3:3(C4xD7)	448,939
C₂³⋊₄(C₄×D₇) = C₂×Dic₇⋊₄D₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3:4(C4xD7)	448,938
C₂³⋊₅(C₄×D₇) = C₂×C₄×C₇⋊D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3:5(C4xD7)	448,1241
C₂³⋊₆(C₄×D₇) = C₂×D₇×C₂²⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3:6(C4xD7)	448,937

Non-split extensions G=N.Q with N=C₂³ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₄×D₇) = C₇⋊C₂≀C₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂³	56	8+	C2^3.1(C4xD7)	448,28
C₂³.₂(C₄×D₇) = (C₂×C₂₈).D₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂³	112	8-	C2^3.2(C4xD7)	448,29
C₂³.₃(C₄×D₇) = C₂³.₃D₂₈	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂³	56	8+	C2^3.3(C4xD7)	448,32
C₂³.₄(C₄×D₇) = C₂³.₄D₂₈	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂³	112	8-	C2^3.4(C4xD7)	448,33
C₂³.₅(C₄×D₇) = C₂³⋊C₄⋊₅D₇	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂³	112	8-	C2^3.5(C4xD7)	448,274
C₂³.₆(C₄×D₇) = D₇×C₄.D₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂³	56	8+	C2^3.6(C4xD7)	448,278
C₂³.₇(C₄×D₇) = M₄(2).₁₉D₁₄	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₂³	112	8-	C2^3.7(C4xD7)	448,279
C₂³.₈(C₄×D₇) = C₂⁴.D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	112		C2^3.8(C4xD7)	448,83
C₂³.₉(C₄×D₇) = (C₂×C₅₆)⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	112	4	C2^3.9(C4xD7)	448,113
C₂³.₁₀(C₄×D₇) = M₄(2)⋊₄Dic₇	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	112	4	C2^3.10(C4xD7)	448,116
C₂³.₁₁(C₄×D₇) = C₅₆⋊C₄⋊C₂	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.11(C4xD7)	448,254
C₂³.₁₂(C₄×D₇) = D₁₄⋊C₈⋊C₂	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.12(C4xD7)	448,261
C₂³.₁₃(C₄×D₇) = D₁₄⋊₂M₄(2)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.13(C4xD7)	448,262
C₂³.₁₄(C₄×D₇) = Dic₇⋊M₄(2)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.14(C4xD7)	448,263
C₂³.₁₅(C₄×D₇) = C₂⁴.₃D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.15(C4xD7)	448,478
C₂³.₁₆(C₄×D₇) = C₂⁴.₄D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.16(C4xD7)	448,479
C₂³.₁₇(C₄×D₇) = C₂×C₂³.₁D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	112		C2^3.17(C4xD7)	448,488
C₂³.₁₈(C₄×D₇) = C₂⁴.₁₃D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.18(C4xD7)	448,491
C₂³.₁₉(C₄×D₇) = C₅₆⋊D₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.19(C4xD7)	448,661
C₂³.₂₀(C₄×D₇) = C₅₆⋊₁₈D₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.20(C4xD7)	448,662
C₂³.₂₁(C₄×D₇) = M₄(2).₃₁D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	112	4	C2^3.21(C4xD7)	448,666
C₂³.₂₂(C₄×D₇) = C₂₈.₇₀C₂⁴	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₂³	112	4	C2^3.22(C4xD7)	448,1198
C₂³.₂₃(C₄×D₇) = C₇⋊D₄⋊C₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3.23(C4xD7)	448,259
C₂³.₂₄(C₄×D₇) = C₇⋊C₈⋊₂₆D₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3.24(C4xD7)	448,264
C₂³.₂₅(C₄×D₇) = C₂⁴.₄₆D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3.25(C4xD7)	448,480
C₂³.₂₆(C₄×D₇) = C₂³.₄₅D₂₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3.26(C4xD7)	448,492
C₂³.₂₇(C₄×D₇) = C₂₈.₄₃₉(C₂×D₄)	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3.27(C4xD7)	448,653
C₂³.₂₈(C₄×D₇) = C₂₈.₇C₄²	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3.28(C4xD7)	448,656
C₂³.₂₉(C₄×D₇) = (C₂×D₂₈).₁₄C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3.29(C4xD7)	448,663
C₂³.₃₀(C₄×D₇) = C₂×D₂₈.C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₂³	224		C2^3.30(C4xD7)	448,1197
C₂³.₃₁(C₄×D₇) = C₂₈.₁₂C₄²	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.31(C4xD7)	448,635
C₂³.₃₂(C₄×D₇) = Dic₇⋊C₈⋊C₂	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.32(C4xD7)	448,636
C₂³.₃₃(C₄×D₇) = C₈×C₇⋊D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.33(C4xD7)	448,643
C₂³.₃₄(C₄×D₇) = (C₂²×C₈)⋊D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.34(C4xD7)	448,644
C₂³.₃₅(C₄×D₇) = C₅₆⋊₃₂D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.35(C4xD7)	448,645
C₂³.₃₆(C₄×D₇) = C₄×C₂³.D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.36(C4xD7)	448,743
C₂³.₃₇(C₄×D₇) = C₂⁴.₆₂D₁₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.37(C4xD7)	448,744
C₂³.₃₈(C₄×D₇) = C₂³.₂₈D₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.38(C4xD7)	448,747
C₂³.₃₉(C₄×D₇) = C₂×D₂₈.₂C₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.39(C4xD7)	448,1191
C₂³.₄₀(C₄×D₇) = (C₂²×D₇)⋊C₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.40(C4xD7)	448,25
C₂³.₄₁(C₄×D₇) = (C₂×Dic₇)⋊C₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.41(C4xD7)	448,26
C₂³.₄₂(C₄×D₇) = C₂⁴.₂D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.42(C4xD7)	448,84
C₂³.₄₃(C₄×D₇) = M₄(2)⋊Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.43(C4xD7)	448,111
C₂³.₄₄(C₄×D₇) = Dic₇.₅M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.44(C4xD7)	448,252
C₂³.₄₅(C₄×D₇) = Dic₇.M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.45(C4xD7)	448,253
C₂³.₄₆(C₄×D₇) = D₇×C₂²⋊C₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.46(C4xD7)	448,258
C₂³.₄₇(C₄×D₇) = D₁₄⋊M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.47(C4xD7)	448,260
C₂³.₄₈(C₄×D₇) = C₂²⋊C₄×Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.48(C4xD7)	448,475
C₂³.₄₉(C₄×D₇) = C₂⁴.₄₄D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.49(C4xD7)	448,476
C₂³.₅₀(C₄×D₇) = C₂³.₄₂D₂₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.50(C4xD7)	448,477
C₂³.₅₁(C₄×D₇) = C₂³.₄₄D₂₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.51(C4xD7)	448,489
C₂³.₅₂(C₄×D₇) = M₄(2)×Dic₇	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.52(C4xD7)	448,651
C₂³.₅₃(C₄×D₇) = Dic₇⋊₄M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.53(C4xD7)	448,652
C₂³.₅₄(C₄×D₇) = D₁₄⋊₆M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.54(C4xD7)	448,660
C₂³.₅₅(C₄×D₇) = C₂×C₂₈.₄₆D₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.55(C4xD7)	448,664
C₂³.₅₆(C₄×D₇) = C₂×C₄.₁₂D₂₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.56(C4xD7)	448,670
C₂³.₅₇(C₄×D₇) = C₂×C₂³.₁₁D₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.57(C4xD7)	448,933
C₂³.₅₈(C₄×D₇) = C₂×D₇×M₄(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.58(C4xD7)	448,1196
C₂³.₅₉(C₄×D₇) = (C₂×C₅₆)⋊₅C₄	central extension (φ=1)	448		C2^3.59(C4xD7)	448,107
C₂³.₆₀(C₄×D₇) = C₂×C₈×Dic₇	central extension (φ=1)	448		C2^3.60(C4xD7)	448,632
C₂³.₆₁(C₄×D₇) = C₂×Dic₇⋊C₈	central extension (φ=1)	448		C2^3.61(C4xD7)	448,633
C₂³.₆₂(C₄×D₇) = C₂×C₅₆⋊C₄	central extension (φ=1)	448		C2^3.62(C4xD7)	448,634
C₂³.₆₃(C₄×D₇) = C₂×D₁₄⋊C₈	central extension (φ=1)	224		C2^3.63(C4xD7)	448,642
C₂³.₆₄(C₄×D₇) = C₂×C₁₄.C₄²	central extension (φ=1)	448		C2^3.64(C4xD7)	448,742
C₂³.₆₅(C₄×D₇) = D₇×C₂²×C₈	central extension (φ=1)	224		C2^3.65(C4xD7)	448,1189
C₂³.₆₆(C₄×D₇) = C₂²×C₈⋊D₇	central extension (φ=1)	224		C2^3.66(C4xD7)	448,1190
C₂³.₆₇(C₄×D₇) = C₂²×C₄×Dic₇	central extension (φ=1)	448		C2^3.67(C4xD7)	448,1235
C₂³.₆₈(C₄×D₇) = C₂²×Dic₇⋊C₄	central extension (φ=1)	448		C2^3.68(C4xD7)	448,1236
C₂³.₆₉(C₄×D₇) = C₂²×D₁₄⋊C₄	central extension (φ=1)	224		C2^3.69(C4xD7)	448,1240

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Extensions 1→N→G→Q→1 with N=C23 and Q=C4×D7

Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₄×D₇