Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₈

Direct product G=N×Q with N=C₈ and Q=D₂₈

		d	ρ	Label	ID
C₈×D₂₈		224		C8xD28	448,220

Semidirect products G=N:Q with N=C₈ and Q=D₂₈

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁D₂₈ = C₈⋊D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₈	224	C8:1D28	448,246
C₈⋊₂D₂₈ = C₅₆⋊₇D₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₈	224	C8:2D28	448,399
C₈⋊₃D₂₈ = C₈⋊₃D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₈	224	C8:3D28	448,420
C₈⋊₄D₂₈ = C₂₈⋊₄D₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224	C8:4D28	448,229
C₈⋊₅D₂₈ = C₈⋊₅D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224	C8:5D28	448,227
C₈⋊₆D₂₈ = C₈⋊₆D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224	C8:6D28	448,222
C₈⋊₇D₂₈ = C₈⋊₇D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224	C8:7D28	448,417
C₈⋊₈D₂₈ = C₈⋊₈D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224	C8:8D28	448,398
C₈⋊₉D₂₈ = C₈⋊₉D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224	C8:9D28	448,240

Non-split extensions G=N.Q with N=C₈ and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₂₈ = C₈.D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₈	224		C8.1D28	448,249
C₈.₂D₂₈ = C₈.₂D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₈	224		C8.2D28	448,402
C₈.₃D₂₈ = C₁₆⋊D₁₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₈	112	4+	C8.3D28	448,442
C₈.₄D₂₈ = C₁₆.D₁₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₈	224	4-	C8.4D28	448,443
C₈.₅D₂₈ = D₂₂₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224	2+	C8.5D28	448,5
C₈.₆D₂₈ = C₂₂₄⋊C₂	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224	2	C8.6D28	448,6
C₈.₇D₂₈ = Dic₁₁₂	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	448	2-	C8.7D28	448,7
C₈.₈D₂₈ = C₈.₈D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224		C8.8D28	448,230
C₈.₉D₂₈ = C₂₈⋊₄Q₁₆	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8.9D28	448,233
C₈.₁₀D₂₈ = C₂×D₁₁₂	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224		C8.10D28	448,436
C₈.₁₁D₂₈ = C₂×C₁₁₂⋊C₂	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224		C8.11D28	448,437
C₈.₁₂D₂₈ = C₂×Dic₅₆	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	448		C8.12D28	448,439
C₈.₁₃D₂₈ = D₁₁₂⋊₇C₂	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	224	2	C8.13D28	448,438
C₈.₁₄D₂₈ = D₅₆⋊₁₁C₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₈	112	2	C8.14D28	448,234
C₈.₁₅D₂₈ = C₁₄.D₁₆	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224		C8.15D28	448,48
C₈.₁₆D₂₈ = C₅₆.₆D₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	448		C8.16D28	448,49
C₈.₁₇D₂₈ = D₅₆.C₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	112	4+	C8.17D28	448,52
C₈.₁₈D₂₈ = C₅₆.₈D₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224	4-	C8.18D28	448,53
C₈.₁₉D₂₈ = D₁₄⋊₂Q₁₆	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224		C8.19D28	448,421
C₈.₂₀D₂₈ = C₈.₂₀D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224	4-	C8.20D28	448,430
C₈.₂₁D₂₈ = C₈.₂₁D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	112	4+	C8.21D28	448,431
C₈.₂₂D₂₈ = D₅₆⋊₈C₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.22D28	448,45
C₈.₂₃D₂₈ = Dic₂₈.C₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224	4	C8.23D28	448,54
C₈.₂₄D₂₈ = C₈.₂₄D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.24D28	448,432
C₈.₂₅D₂₈ = M₅(2)⋊D₇	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.25D28	448,71
C₈.₂₆D₂₈ = Dic₁₄.C₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	224	4	C8.26D28	448,72
C₈.₂₇D₂₈ = D₅₆⋊₄C₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.27D28	448,251
C₈.₂₈D₂₈ = C₂₈⋊C₁₆	central extension (φ=1)	448		C8.28D28	448,19
C₈.₂₉D₂₈ = C₅₆.₁₆Q₈	central extension (φ=1)	112	2	C8.29D28	448,20
C₈.₃₀D₂₈ = D₁₄⋊C₁₆	central extension (φ=1)	224		C8.30D28	448,64
C₈.₃₁D₂₈ = D₂₈.C₈	central extension (φ=1)	224	2	C8.31D28	448,65

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Extensions 1→N→G→Q→1 with N=C8 and Q=D28

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₈