Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₈

Direct product G=N×Q with N=C₂³ and Q=D₂₈

		d	ρ	Label	ID
C₂³×D₂₈		224		C2^3xD28	448,1367

Semidirect products G=N:Q with N=C₂³ and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₂₈ = C₂³⋊D₂₈	φ: D₂₈/C₇ → D₄ ⊆ Aut C₂³	56	8+	C2^3:D28	448,275
C₂³⋊₂D₂₈ = C₂³⋊₂D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3:2D28	448,494
C₂³⋊₃D₂₈ = C₂³⋊₃D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	112		C2^3:3D28	448,946
C₂³⋊₄D₂₈ = C₂×C₂₈⋊₇D₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3:4D28	448,1243
C₂³⋊₅D₂₈ = C₂×C₂²⋊D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3:5D28	448,940

Non-split extensions G=N.Q with N=C₂³ and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₂₈ = C₂³.D₂₈	φ: D₂₈/C₇ → D₄ ⊆ Aut C₂³	112	8-	C2^3.1D28	448,30
C₂³.₂D₂₈ = C₂³.₂D₂₈	φ: D₂₈/C₇ → D₄ ⊆ Aut C₂³	56	8+	C2^3.2D28	448,31
C₂³.₃D₂₈ = C₂³.₃D₂₈	φ: D₂₈/C₇ → D₄ ⊆ Aut C₂³	56	8+	C2^3.3D28	448,32
C₂³.₄D₂₈ = C₂³.₄D₂₈	φ: D₂₈/C₇ → D₄ ⊆ Aut C₂³	112	8-	C2^3.4D28	448,33
C₂³.₅D₂₈ = C₂³.₅D₂₈	φ: D₂₈/C₇ → D₄ ⊆ Aut C₂³	112	8-	C2^3.5D28	448,276
C₂³.₆D₂₈ = D₂₈.₁D₄	φ: D₂₈/C₇ → D₄ ⊆ Aut C₂³	112	8-	C2^3.6D28	448,280
C₂³.₇D₂₈ = D₂₈⋊₁D₄	φ: D₂₈/C₇ → D₄ ⊆ Aut C₂³	56	8+	C2^3.7D28	448,281
C₂³.₈D₂₈ = C₂⁴.D₁₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	112		C2^3.8D28	448,83
C₂³.₉D₂₈ = C₂³.₉D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	112	4	C2^3.9D28	448,114
C₂³.₁₀D₂₈ = C₂³.₁₀D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.10D28	448,257
C₂³.₁₁D₂₈ = D₂₈.₃₂D₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.11D28	448,267
C₂³.₁₂D₂₈ = D₂₈⋊₁₄D₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.12D28	448,268
C₂³.₁₃D₂₈ = C₂³.₁₃D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.13D28	448,271
C₂³.₁₄D₂₈ = C₂⁴.₁₀D₁₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.14D28	448,487
C₂³.₁₅D₂₈ = C₂×C₂³.₁D₁₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	112		C2^3.15D28	448,488
C₂³.₁₆D₂₈ = C₂³.₁₆D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.16D28	448,495
C₂³.₁₇D₂₈ = C₅₆⋊₂D₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.17D28	448,668
C₂³.₁₈D₂₈ = C₅₆⋊₃D₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.18D28	448,669
C₂³.₁₉D₂₈ = C₅₆.₄D₄	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	224		C2^3.19D28	448,671
C₂³.₂₀D₂₈ = C₂³.₂₀D₂₈	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	112	4	C2^3.20D28	448,673
C₂³.₂₁D₂₈ = C₅₆.₉C₂³	φ: D₂₈/C₁₄ → C₂² ⊆ Aut C₂³	112	4	C2^3.21D28	448,1201
C₂³.₂₂D₂₈ = C₂³.₂₂D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.22D28	448,640
C₂³.₂₃D₂₈ = C₂³.₂₃D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.23D28	448,647
C₂³.₂₄D₂₈ = C₅₆⋊₃₀D₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.24D28	448,648
C₂³.₂₅D₂₈ = C₅₆⋊₂₉D₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.25D28	448,649
C₂³.₂₆D₂₈ = C₅₆.₈₂D₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.26D28	448,650
C₂³.₂₇D₂₈ = C₂³.₂₇D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.27D28	448,746
C₂³.₂₈D₂₈ = C₂³.₂₈D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.28D28	448,747
C₂³.₂₉D₂₈ = C₂×D₅₆⋊₇C₂	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂³	224		C2^3.29D28	448,1194
C₂³.₃₀D₂₈ = C₂³.₃₀D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.30D28	448,24
C₂³.₃₁D₂₈ = C₂².₂D₅₆	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.31D28	448,27
C₂³.₃₂D₂₈ = C₂⁴.₂D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.32D28	448,84
C₂³.₃₃D₂₈ = C₂₈.₃C₄²	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.33D28	448,112
C₂³.₃₄D₂₈ = C₂³.₃₄D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.34D28	448,255
C₂³.₃₅D₂₈ = C₂³.₃₅D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.35D28	448,256
C₂³.₃₆D₂₈ = D₂₈.₃₁D₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.36D28	448,265
C₂³.₃₇D₂₈ = D₂₈⋊₁₃D₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.37D28	448,266
C₂³.₃₈D₂₈ = C₂³.₃₈D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.38D28	448,269
C₂³.₃₉D₂₈ = C₂².D₅₆	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.39D28	448,270
C₂³.₄₀D₂₈ = Dic₁₄⋊₁₄D₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.40D28	448,272
C₂³.₄₁D₂₈ = C₂²⋊Dic₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.41D28	448,273
C₂³.₄₂D₂₈ = C₂³.₄₂D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.42D28	448,477
C₂³.₄₃D₂₈ = C₂⁴.₄₇D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.43D28	448,484
C₂³.₄₄D₂₈ = C₂³.₄₄D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.44D28	448,489
C₂³.₄₅D₂₈ = C₂³.₄₅D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.45D28	448,492
C₂³.₄₆D₂₈ = C₂³.₄₆D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.46D28	448,654
C₂³.₄₇D₂₈ = C₂³.₄₇D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.47D28	448,655
C₂³.₄₈D₂₈ = C₂³.₄₈D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.48D28	448,665
C₂³.₄₉D₂₈ = C₂³.₄₉D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.49D28	448,667
C₂³.₅₀D₂₈ = C₂×D₂₈⋊₄C₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.50D28	448,672
C₂³.₅₁D₂₈ = C₂×C₂².D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.51D28	448,945
C₂³.₅₂D₂₈ = C₂×C₈⋊D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.52D28	448,1199
C₂³.₅₃D₂₈ = C₂×C₈.D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂³	224		C2^3.53D28	448,1200
C₂³.₅₄D₂₈ = C₂₈.₉C₄²	central extension (φ=1)	448		C2^3.54D28	448,108
C₂³.₅₅D₂₈ = C₂×C₂₈.₄₄D₄	central extension (φ=1)	448		C2^3.55D28	448,637
C₂³.₅₆D₂₈ = C₂×C₈⋊Dic₇	central extension (φ=1)	448		C2^3.56D28	448,638
C₂³.₅₇D₂₈ = C₂×C₅₆⋊₁C₄	central extension (φ=1)	448		C2^3.57D28	448,639
C₂³.₅₈D₂₈ = C₂×C₂.D₅₆	central extension (φ=1)	224		C2^3.58D28	448,646
C₂³.₅₉D₂₈ = C₂×C₁₄.C₄²	central extension (φ=1)	448		C2^3.59D28	448,742
C₂³.₆₀D₂₈ = C₂²×C₅₆⋊C₂	central extension (φ=1)	224		C2^3.60D28	448,1192
C₂³.₆₁D₂₈ = C₂²×D₅₆	central extension (φ=1)	224		C2^3.61D28	448,1193
C₂³.₆₂D₂₈ = C₂²×Dic₂₈	central extension (φ=1)	448		C2^3.62D28	448,1195
C₂³.₆₃D₂₈ = C₂²×C₄⋊Dic₇	central extension (φ=1)	448		C2^3.63D28	448,1238
C₂³.₆₄D₂₈ = C₂²×D₁₄⋊C₄	central extension (φ=1)	224		C2^3.64D28	448,1240

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Extensions 1→N→G→Q→1 with N=C23 and Q=D28

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₈