Extensions 1→N→G→Q→1 with N=C₂₈ and Q=D₈

Direct product G=N×Q with N=C₂₈ and Q=D₈

		d	ρ	Label	ID
D₈×C₂₈		224		D8xC28	448,845

Semidirect products G=N:Q with N=C₂₈ and Q=D₈

extension	φ:Q→Aut N	d	Label	ID
C₂₈⋊₁D₈ = C₄⋊D₅₆	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	C28:1D8	448,377
C₂₈⋊₂D₈ = C₂₈⋊₂D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	C28:2D8	448,606
C₂₈⋊₃D₈ = C₂₈⋊D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	C28:3D8	448,607
C₂₈⋊₄D₈ = C₂₈⋊₄D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	C28:4D8	448,229
C₂₈⋊₅D₈ = C₄×D₅₆	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	C28:5D8	448,226
C₂₈⋊₆D₈ = C₇×C₈⋊₄D₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	C28:6D8	448,901
C₂₈⋊₇D₈ = C₂₈⋊₇D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	C28:7D8	448,549
C₂₈⋊₈D₈ = C₄×D₄⋊D₇	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	C28:8D8	448,547
C₂₈⋊₉D₈ = C₇×C₄⋊D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	C28:9D8	448,867

Non-split extensions G=N.Q with N=C₂₈ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁D₈ = C₄.D₅₆	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.1D8	448,42
C₂₈.₂D₈ = C₂₈.₂D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.2D8	448,43
C₂₈.₃D₈ = C₂₈.₃D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	112	4+	C28.3D8	448,73
C₂₈.₄D₈ = C₂₈.₄D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	4-	C28.4D8	448,74
C₂₈.₅D₈ = C₇⋊D₃₂	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	4+	C28.5D8	448,76
C₂₈.₆D₈ = D₁₆.D₇	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	4-	C28.6D8	448,77
C₂₈.₇D₈ = C₇⋊SD₆₄	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	4+	C28.7D8	448,78
C₂₈.₈D₈ = C₇⋊Q₆₄	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	448	4-	C28.8D8	448,79
C₂₈.₉D₈ = C₂₈.₉D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.9D8	448,101
C₂₈.₁₀D₈ = C₂₈.₁₀D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.10D8	448,104
C₂₈.₁₁D₈ = D₈.Dic₇	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	112	4	C28.11D8	448,120
C₂₈.₁₂D₈ = Q₁₆.Dic₇	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	4	C28.12D8	448,122
C₂₈.₁₃D₈ = D₂₈⋊₄Q₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.13D8	448,380
C₂₈.₁₄D₈ = C₁₆⋊D₁₄	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	112	4+	C28.14D8	448,442
C₂₈.₁₅D₈ = C₁₆.D₁₄	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	4-	C28.15D8	448,443
C₂₈.₁₆D₈ = C₂₈.₁₆D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.16D8	448,604
C₂₈.₁₇D₈ = C₂₈.₁₇D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.17D8	448,612
C₂₈.₁₈D₈ = D₂₈⋊₆Q₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.18D8	448,621
C₂₈.₁₉D₈ = C₂₈.D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.19D8	448,622
C₂₈.₂₀D₈ = C₂×C₇⋊D₁₆	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.20D8	448,680
C₂₈.₂₁D₈ = D₈.D₁₄	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	112	4	C28.21D8	448,681
C₂₈.₂₂D₈ = C₂×D₈.D₇	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.22D8	448,682
C₂₈.₂₃D₈ = C₂×C₇⋊SD₃₂	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.23D8	448,712
C₂₈.₂₄D₈ = Q₁₆.D₁₄	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	224	4	C28.24D8	448,713
C₂₈.₂₅D₈ = C₂×C₇⋊Q₃₂	φ: D₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.25D8	448,714
C₂₈.₂₆D₈ = D₂₂₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	2+	C28.26D8	448,5
C₂₈.₂₇D₈ = C₂₂₄⋊C₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.27D8	448,6
C₂₈.₂₈D₈ = Dic₁₁₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	448	2-	C28.28D8	448,7
C₂₈.₂₉D₈ = C₅₆⋊₈Q₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.29D8	448,216
C₂₈.₃₀D₈ = C₄.₅D₅₆	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.30D8	448,228
C₂₈.₃₁D₈ = C₂×D₁₁₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.31D8	448,436
C₂₈.₃₂D₈ = C₂×C₁₁₂⋊C₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.32D8	448,437
C₂₈.₃₃D₈ = C₂×Dic₅₆	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.33D8	448,439
C₂₈.₃₄D₈ = C₅₆⋊₁C₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.34D8	448,15
C₂₈.₃₅D₈ = C₄.₁₇D₅₆	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.35D8	448,16
C₂₈.₃₆D₈ = C₁₁₂.C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.36D8	448,63
C₂₈.₃₇D₈ = D₅₆.₁C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.37D8	448,67
C₂₈.₃₈D₈ = D₁₁₂⋊₇C₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.38D8	448,438
C₂₈.₃₉D₈ = C₇×D₃₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.39D8	448,175
C₂₈.₄₀D₈ = C₇×SD₆₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.40D8	448,176
C₂₈.₄₁D₈ = C₇×Q₆₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	448	2	C28.41D8	448,177
C₂₈.₄₂D₈ = C₇×C₄.₄D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.42D8	448,894
C₂₈.₄₃D₈ = C₇×C₈⋊₂Q₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.43D8	448,908
C₂₈.₄₄D₈ = C₁₄×D₁₆	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.44D8	448,913
C₂₈.₄₅D₈ = C₁₄×SD₃₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.45D8	448,914
C₂₈.₄₆D₈ = C₁₄×Q₃₂	φ: D₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.46D8	448,915
C₂₈.₄₇D₈ = C₂₈.₄₇D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	448		C28.47D8	448,39
C₂₈.₄₈D₈ = D₅₆.C₄	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	112	4+	C28.48D8	448,52
C₂₈.₄₉D₈ = C₅₆.₈D₄	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	4-	C28.49D8	448,53
C₂₈.₅₀D₈ = C₂₈.₅₀D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224		C28.50D8	448,541
C₂₈.₅₁D₈ = Q₁₆⋊D₁₄	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	112	4+	C28.51D8	448,727
C₂₈.₅₂D₈ = C₅₆.₃₁C₂³	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	4-	C28.52D8	448,729
C₂₈.₅₃D₈ = C₂₈.₅₃D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	448		C28.53D8	448,36
C₂₈.₅₄D₈ = D₂₈⋊₂C₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224		C28.54D8	448,40
C₂₈.₅₅D₈ = C₈.₇Dic₁₄	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	4	C28.55D8	448,50
C₂₈.₅₆D₈ = Dic₂₈.C₄	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	4	C28.56D8	448,54
C₂₈.₅₇D₈ = C₂₈.₅₇D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224		C28.57D8	448,91
C₂₈.₅₈D₈ = C₂₈.₅₈D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	4	C28.58D8	448,124
C₂₈.₅₉D₈ = C₅₆.₃₀C₂³	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	4	C28.59D8	448,728
C₂₈.₆₀D₈ = C₇×C₄.D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224		C28.60D8	448,135
C₂₈.₆₁D₈ = C₇×C₄.₁₀D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	448		C28.61D8	448,136
C₂₈.₆₂D₈ = C₇×M₅(2)⋊C₂	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	112	4	C28.62D8	448,165
C₂₈.₆₃D₈ = C₇×C₈.₁₇D₄	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	4	C28.63D8	448,166
C₂₈.₆₄D₈ = C₇×D₄⋊Q₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224		C28.64D8	448,882
C₂₈.₆₅D₈ = C₇×C₁₆⋊C₂²	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	112	4	C28.65D8	448,917
C₂₈.₆₆D₈ = C₇×Q₃₂⋊C₂	φ: D₈/D₄ → C₂ ⊆ Aut C₂₈	224	4	C28.66D8	448,918
C₂₈.₆₇D₈ = C₇×D₄⋊C₈	central extension (φ=1)	224		C28.67D8	448,129
C₂₈.₆₈D₈ = C₇×C₈⋊₁C₈	central extension (φ=1)	448		C28.68D8	448,139
C₂₈.₆₉D₈ = C₇×D₈.C₄	central extension (φ=1)	224	2	C28.69D8	448,163
C₂₈.₇₀D₈ = C₇×C₈.₄Q₈	central extension (φ=1)	224	2	C28.70D8	448,172
C₂₈.₇₁D₈ = C₇×C₄○D₁₆	central extension (φ=1)	224	2	C28.71D8	448,916

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Extensions 1→N→G→Q→1 with N=C28 and Q=D8

Extensions 1→N→G→Q→1 with N=C₂₈ and Q=D₈