Extensions 1→N→G→Q→1 with N=C₃₀ and Q=D₈

Direct product G=N×Q with N=C₃₀ and Q=D₈

		d	ρ	Label	ID
D₈×C₃₀		240		D8xC30	480,937

Semidirect products G=N:Q with N=C₃₀ and Q=D₈

extension	φ:Q→Aut N	d	Label	ID
C₃₀⋊₁D₈ = C₂×C₁₅⋊D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	C30:1D8	480,372
C₃₀⋊₂D₈ = C₂×C₃⋊D₄₀	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	C30:2D8	480,376
C₃₀⋊₃D₈ = C₂×C₅⋊D₂₄	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	C30:3D8	480,378
C₃₀⋊₄D₈ = C₂×D₁₂₀	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	C30:4D8	480,868
C₃₀⋊₅D₈ = C₆×D₄₀	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	C30:5D8	480,696
C₃₀⋊₆D₈ = C₁₀×D₂₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	C30:6D8	480,782
C₃₀⋊₇D₈ = C₂×D₄⋊D₁₅	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	C30:7D8	480,896
C₃₀⋊₈D₈ = C₆×D₄⋊D₅	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	C30:8D8	480,724
C₃₀⋊₉D₈ = C₁₀×D₄⋊S₃	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	C30:9D8	480,810

Non-split extensions G=N.Q with N=C₃₀ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁D₈ = C₁₅⋊D₁₆	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4	C30.1D8	480,13
C₃₀.₂D₈ = C₃⋊D₈₀	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4+	C30.2D8	480,14
C₃₀.₃D₈ = C₅⋊D₄₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4+	C30.3D8	480,15
C₃₀.₄D₈ = C₄₀.D₆	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4	C30.4D8	480,16
C₃₀.₅D₈ = C₁₅⋊SD₃₂	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4	C30.5D8	480,17
C₃₀.₆D₈ = D₄₀.S₃	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4-	C30.6D8	480,18
C₃₀.₇D₈ = C₂₄.D₁₀	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4+	C30.7D8	480,19
C₃₀.₈D₈ = D₂₄.D₅	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4-	C30.8D8	480,20
C₃₀.₉D₈ = Dic₁₂⋊D₅	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240	4+	C30.9D8	480,21
C₃₀.₁₀D₈ = C₁₅⋊Q₃₂	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	480	4	C30.10D8	480,22
C₃₀.₁₁D₈ = C₃⋊Dic₄₀	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	480	4-	C30.11D8	480,23
C₃₀.₁₂D₈ = C₅⋊Dic₂₄	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	480	4-	C30.12D8	480,24
C₃₀.₁₃D₈ = C₃₀.D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240		C30.13D8	480,40
C₃₀.₁₄D₈ = C₆.D₄₀	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240		C30.14D8	480,41
C₃₀.₁₅D₈ = D₁₂⋊Dic₅	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240		C30.15D8	480,42
C₃₀.₁₆D₈ = C₁₀.D₂₄	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240		C30.16D8	480,43
C₃₀.₁₇D₈ = D₆₀⋊₁₂C₄	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240		C30.17D8	480,44
C₃₀.₁₈D₈ = D₆₀⋊₁₅C₄	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	240		C30.18D8	480,45
C₃₀.₁₉D₈ = C₆₀.₈Q₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	480		C30.19D8	480,64
C₃₀.₂₀D₈ = C₃₀.₂₀D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	480		C30.20D8	480,65
C₃₀.₂₁D₈ = C₆₀.₅Q₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃₀	480		C30.21D8	480,66
C₃₀.₂₂D₈ = D₂₄₀	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	2+	C30.22D8	480,159
C₃₀.₂₃D₈ = C₄₈⋊D₅	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	2	C30.23D8	480,160
C₃₀.₂₄D₈ = Dic₁₂₀	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	480	2-	C30.24D8	480,161
C₃₀.₂₅D₈ = C₁₂₀⋊₉C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	480		C30.25D8	480,178
C₃₀.₂₆D₈ = D₆₀⋊₈C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240		C30.26D8	480,181
C₃₀.₂₇D₈ = C₃×D₈₀	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	2	C30.27D8	480,77
C₃₀.₂₈D₈ = C₃×C₁₆⋊D₅	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	2	C30.28D8	480,78
C₃₀.₂₉D₈ = C₃×Dic₄₀	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	480	2	C30.29D8	480,79
C₃₀.₃₀D₈ = C₃×C₄₀⋊₅C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	480		C30.30D8	480,96
C₃₀.₃₁D₈ = C₃×D₂₀⋊₅C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240		C30.31D8	480,99
C₃₀.₃₂D₈ = C₅×D₄₈	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	2	C30.32D8	480,118
C₃₀.₃₃D₈ = C₅×C₄₈⋊C₂	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240	2	C30.33D8	480,119
C₃₀.₃₄D₈ = C₅×Dic₂₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	480	2	C30.34D8	480,120
C₃₀.₃₅D₈ = C₅×C₂₄⋊₁C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	480		C30.35D8	480,137
C₃₀.₃₆D₈ = C₅×C₂.D₂₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃₀	240		C30.36D8	480,140
C₃₀.₃₇D₈ = C₆₀.₁Q₈	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	480		C30.37D8	480,167
C₃₀.₃₈D₈ = D₆₀⋊₉C₄	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240		C30.38D8	480,169
C₃₀.₃₉D₈ = C₁₅⋊₇D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4+	C30.39D8	480,186
C₃₀.₄₀D₈ = D₈.D₁₅	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4-	C30.40D8	480,187
C₃₀.₄₁D₈ = C₈.₆D₃₀	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4+	C30.41D8	480,188
C₃₀.₄₂D₈ = C₁₅⋊₇Q₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	480	4-	C30.42D8	480,189
C₃₀.₄₃D₈ = D₄⋊Dic₁₅	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240		C30.43D8	480,192
C₃₀.₄₄D₈ = C₃×C₁₀.D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	480		C30.44D8	480,85
C₃₀.₄₅D₈ = C₃×D₂₀⋊₆C₄	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240		C30.45D8	480,87
C₃₀.₄₆D₈ = C₃×C₅⋊D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4	C30.46D8	480,104
C₃₀.₄₇D₈ = C₃×D₈.D₅	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4	C30.47D8	480,105
C₃₀.₄₈D₈ = C₃×C₅⋊SD₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4	C30.48D8	480,106
C₃₀.₄₉D₈ = C₃×C₅⋊Q₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	480	4	C30.49D8	480,107
C₃₀.₅₀D₈ = C₃×D₄⋊Dic₅	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240		C30.50D8	480,110
C₃₀.₅₁D₈ = C₅×C₆.Q₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	480		C30.51D8	480,126
C₃₀.₅₂D₈ = C₅×C₆.D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240		C30.52D8	480,128
C₃₀.₅₃D₈ = C₅×C₃⋊D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4	C30.53D8	480,145
C₃₀.₅₄D₈ = C₅×D₈.S₃	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4	C30.54D8	480,146
C₃₀.₅₅D₈ = C₅×C₈.₆D₆	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240	4	C30.55D8	480,147
C₃₀.₅₆D₈ = C₅×C₃⋊Q₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	480	4	C30.56D8	480,148
C₃₀.₅₇D₈ = C₅×D₄⋊Dic₃	φ: D₈/D₄ → C₂ ⊆ Aut C₃₀	240		C30.57D8	480,151
C₃₀.₅₈D₈ = C₁₅×D₄⋊C₄	central extension (φ=1)	240		C30.58D8	480,205
C₃₀.₅₉D₈ = C₁₅×C₂.D₈	central extension (φ=1)	480		C30.59D8	480,210
C₃₀.₆₀D₈ = C₁₅×D₁₆	central extension (φ=1)	240	2	C30.60D8	480,214
C₃₀.₆₁D₈ = C₁₅×SD₃₂	central extension (φ=1)	240	2	C30.61D8	480,215
C₃₀.₆₂D₈ = C₁₅×Q₃₂	central extension (φ=1)	480	2	C30.62D8	480,216

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Extensions 1→N→G→Q→1 with N=C30 and Q=D8

Extensions 1→N→G→Q→1 with N=C₃₀ and Q=D₈