Extensions 1→N→G→Q→1 with N=C₈ and Q=C₄×D₇

Direct product G=N×Q with N=C₈ and Q=C₄×D₇

		d	ρ	Label	ID
D₇×C₄×C₈		224		D7xC4xC8	448,218

Semidirect products G=N:Q with N=C₈ and Q=C₄×D₇

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₄×D₇) = C₄².₁₆D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:1(C4xD7)	448,244
C₈⋊₂(C₄×D₇) = D₅₆⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:2(C4xD7)	448,245
C₈⋊₃(C₄×D₇) = C₈⋊(C₄×D₇)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:3(C4xD7)	448,395
C₈⋊₄(C₄×D₇) = D₅₆⋊₉C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:4(C4xD7)	448,403
C₈⋊₅(C₄×D₇) = C₅₆⋊(C₂×C₄)	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:5(C4xD7)	448,415
C₈⋊₆(C₄×D₇) = C₅₆⋊C₂⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:6(C4xD7)	448,423
C₈⋊₇(C₄×D₇) = Dic₇⋊₅D₈	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	224	C8:7(C4xD7)	448,406
C₈⋊₈(C₄×D₇) = Dic₇⋊₈SD₁₆	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	224	C8:8(C4xD7)	448,386
C₈⋊₉(C₄×D₇) = Dic₇.C₄²	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	224	C8:9(C4xD7)	448,241
C₈⋊₁₀(C₄×D₇) = C₄×D₅₆	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	224	C8:10(C4xD7)	448,226
C₈⋊₁₁(C₄×D₇) = C₄×C₅₆⋊C₂	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	224	C8:11(C4xD7)	448,225
C₈⋊₁₂(C₄×D₇) = C₄×C₈⋊D₇	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	224	C8:12(C4xD7)	448,221
C₈⋊₁₃(C₄×D₇) = D₇×C₂.D₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	C8:13(C4xD7)	448,413
C₈⋊₁₄(C₄×D₇) = D₇×C₄.Q₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	C8:14(C4xD7)	448,393
C₈⋊₁₅(C₄×D₇) = D₇×C₈⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	C8:15(C4xD7)	448,238

Non-split extensions G=N.Q with N=C₈ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₄×D₇) = D₅₆⋊₈C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.1(C4xD7)	448,45
C₈.₂(C₄×D₇) = D₅₆.C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4+	C8.2(C4xD7)	448,52
C₈.₃(C₄×D₇) = C₅₆.₈D₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	4-	C8.3(C4xD7)	448,53
C₈.₄(C₄×D₇) = C₂₈.₃D₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4+	C8.4(C4xD7)	448,73
C₈.₅(C₄×D₇) = C₂₈.₄D₈	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	4-	C8.5(C4xD7)	448,74
C₈.₆(C₄×D₇) = D₅₆⋊₂C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.6(C4xD7)	448,75
C₈.₇(C₄×D₇) = Dic₂₈⋊C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	448		C8.7(C4xD7)	448,250
C₈.₈(C₄×D₇) = D₅₆⋊₄C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.8(C4xD7)	448,251
C₈.₉(C₄×D₇) = Dic₂₈⋊₉C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	448		C8.9(C4xD7)	448,387
C₈.₁₀(C₄×D₇) = M₄(2).₂₅D₁₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.10(C4xD7)	448,427
C₈.₁₁(C₄×D₇) = D₅₆⋊₁₀C₄	φ: C₄×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.11(C4xD7)	448,428
C₈.₁₂(C₄×D₇) = C₁₄.D₁₆	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	224		C8.12(C4xD7)	448,48
C₈.₁₃(C₄×D₇) = C₅₆.₆D₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	448		C8.13(C4xD7)	448,49
C₈.₁₄(C₄×D₇) = Dic₂₈.C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	224	4	C8.14(C4xD7)	448,54
C₈.₁₅(C₄×D₇) = Dic₂₈⋊₆C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	448		C8.15(C4xD7)	448,407
C₈.₁₆(C₄×D₇) = D₅₆⋊₇C₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	112	4	C8.16(C4xD7)	448,429
C₈.₁₇(C₄×D₇) = C₁₆.₁₂D₁₄	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₈	224	4	C8.17(C4xD7)	448,441
C₈.₁₈(C₄×D₇) = C₅₆.₇₈D₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	448		C8.18(C4xD7)	448,60
C₈.₁₉(C₄×D₇) = C₂.D₁₁₂	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	224		C8.19(C4xD7)	448,66
C₈.₂₀(C₄×D₇) = D₅₆.₁C₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	224	2	C8.20(C4xD7)	448,67
C₈.₂₁(C₄×D₇) = C₄×Dic₂₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	448		C8.21(C4xD7)	448,232
C₈.₂₂(C₄×D₇) = D₅₆⋊₁₁C₄	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	112	2	C8.22(C4xD7)	448,234
C₈.₂₃(C₄×D₇) = D₂₈.₄C₈	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₈	224	2	C8.23(C4xD7)	448,435
C₈.₂₄(C₄×D₇) = C₈.₄Dic₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	448		C8.24(C4xD7)	448,46
C₈.₂₅(C₄×D₇) = C₈.₅Dic₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	448		C8.25(C4xD7)	448,47
C₈.₂₆(C₄×D₇) = C₈.₇Dic₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4	C8.26(C4xD7)	448,50
C₈.₂₇(C₄×D₇) = C₈.₂₇(C₄×D₇)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.27(C4xD7)	448,414
C₈.₂₈(C₄×D₇) = C₅₆.Q₈	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.28(C4xD7)	448,44
C₈.₂₉(C₄×D₇) = C₈.Dic₁₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.29(C4xD7)	448,51
C₈.₃₀(C₄×D₇) = (C₈×D₇)⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.30(C4xD7)	448,394
C₈.₃₁(C₄×D₇) = D₇×C₈.C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.31(C4xD7)	448,426
C₈.₃₂(C₄×D₇) = C₂₈.₁₅C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.32(C4xD7)	448,23
C₈.₃₃(C₄×D₇) = C₁₁₂⋊C₄	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.33(C4xD7)	448,69
C₈.₃₄(C₄×D₇) = D₁₄.₄C₄²	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.34(C4xD7)	448,242
C₈.₃₅(C₄×D₇) = D₇×M₅(2)	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.35(C4xD7)	448,440
C₈.₃₆(C₄×D₇) = D₇×C₃₂	central extension (φ=1)	224	2	C8.36(C4xD7)	448,3
C₈.₃₇(C₄×D₇) = C₃₂⋊D₇	central extension (φ=1)	224	2	C8.37(C4xD7)	448,4
C₈.₃₈(C₄×D₇) = C₄×C₇⋊C₁₆	central extension (φ=1)	448		C8.38(C4xD7)	448,17
C₈.₃₉(C₄×D₇) = C₅₆.C₈	central extension (φ=1)	448		C8.39(C4xD7)	448,18
C₈.₄₀(C₄×D₇) = C₁₆×Dic₇	central extension (φ=1)	448		C8.40(C4xD7)	448,57
C₈.₄₁(C₄×D₇) = C₁₁₂⋊₉C₄	central extension (φ=1)	448		C8.41(C4xD7)	448,59
C₈.₄₂(C₄×D₇) = D₁₄.C₄²	central extension (φ=1)	224		C8.42(C4xD7)	448,223
C₈.₄₃(C₄×D₇) = D₇×C₂×C₁₆	central extension (φ=1)	224		C8.43(C4xD7)	448,433
C₈.₄₄(C₄×D₇) = C₂×C₁₆⋊D₇	central extension (φ=1)	224		C8.44(C4xD7)	448,434

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Extensions 1→N→G→Q→1 with N=C8 and Q=C4×D7

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₄×D₇