Extensions 1→N→G→Q→1 with N=C₃₀ and Q=C₄²

Direct product G=N×Q with N=C₃₀ and Q=C₄²

		d	ρ	Label	ID
C₂×C₄×C₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₃₀ and Q=C₄²

extension	φ:Q→Aut N	d	Label	ID
C₃₀⋊C₄² = C₂×Dic₃×F₅	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃₀	120	C30:C4^2	480,998
C₃₀⋊₂C₄² = C₂×C₄×C₃⋊F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	120	C30:2C4^2	480,1063
C₃₀⋊₃C₄² = F₅×C₂×C₁₂	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	120	C30:3C4^2	480,1050
C₃₀⋊₄C₄² = C₂×Dic₃×Dic₅	φ: C₄²/C₂² → C₂² ⊆ Aut C₃₀	480	C30:4C4^2	480,603
C₃₀⋊₅C₄² = C₂×C₄×Dic₁₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480	C30:5C4^2	480,887
C₃₀⋊₆C₄² = Dic₅×C₂×C₁₂	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480	C30:6C4^2	480,715
C₃₀⋊₇C₄² = Dic₃×C₂×C₂₀	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480	C30:7C4^2	480,801

Non-split extensions G=N.Q with N=C₃₀ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁C₄² = F₅×C₃⋊C₈	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃₀	120	8	C30.1C4^2	480,223
C₃₀.₂C₄² = C₃₀.C₄²	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃₀	120	8	C30.2C4^2	480,224
C₃₀.₃C₄² = C₃₀.₃C₄²	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃₀	120	8	C30.3C4^2	480,225
C₃₀.₄C₄² = C₃₀.₄C₄²	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃₀	120	8	C30.4C4^2	480,226
C₃₀.₅C₄² = D₁₀.₂₀D₁₂	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃₀	120		C30.5C4^2	480,243
C₃₀.₆C₄² = Dic₃×C₅⋊C₈	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃₀	480		C30.6C4^2	480,244
C₃₀.₇C₄² = C₃₀.M₄(2)	φ: C₄²/C₂ → C₂×C₄ ⊆ Aut C₃₀	480		C30.7C4^2	480,245
C₃₀.₈C₄² = C₈×C₃⋊F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	120	4	C30.8C4^2	480,296
C₃₀.₉C₄² = C₂₄⋊F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	120	4	C30.9C4^2	480,297
C₃₀.₁₀C₄² = C₄×C₁₅⋊C₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	480		C30.10C4^2	480,305
C₃₀.₁₁C₄² = C₃₀.₁₁C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	480		C30.11C4^2	480,307
C₃₀.₁₂C₄² = D₁₀.₁₀D₁₂	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	120		C30.12C4^2	480,311
C₃₀.₁₃C₄² = F₅×C₂₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	120	4	C30.13C4^2	480,271
C₃₀.₁₄C₄² = C₃×C₈⋊F₅	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	120	4	C30.14C4^2	480,272
C₃₀.₁₅C₄² = C₁₂×C₅⋊C₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	480		C30.15C4^2	480,280
C₃₀.₁₆C₄² = C₃×C₁₀.C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	480		C30.16C4^2	480,282
C₃₀.₁₇C₄² = C₃×D₁₀.₃Q₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₃₀	120		C30.17C4^2	480,286
C₃₀.₁₈C₄² = Dic₅×C₃⋊C₈	φ: C₄²/C₂² → C₂² ⊆ Aut C₃₀	480		C30.18C4^2	480,25
C₃₀.₁₉C₄² = Dic₃×C₅⋊₂C₈	φ: C₄²/C₂² → C₂² ⊆ Aut C₃₀	480		C30.19C4^2	480,26
C₃₀.₂₀C₄² = Dic₁₅⋊₄C₈	φ: C₄²/C₂² → C₂² ⊆ Aut C₃₀	480		C30.20C4^2	480,27
C₃₀.₂₁C₄² = C₃₀.₂₁C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₃₀	480		C30.21C4^2	480,28
C₃₀.₂₂C₄² = C₃₀.₂₂C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₃₀	480		C30.22C4^2	480,29
C₃₀.₂₃C₄² = C₃₀.₂₃C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₃₀	480		C30.23C4^2	480,30
C₃₀.₂₄C₄² = C₃₀.₂₄C₄²	φ: C₄²/C₂² → C₂² ⊆ Aut C₃₀	480		C30.24C4^2	480,70
C₃₀.₂₅C₄² = C₄×C₁₅⋊₃C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.25C4^2	480,162
C₃₀.₂₆C₄² = C₄².D₁₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.26C4^2	480,163
C₃₀.₂₇C₄² = C₈×Dic₁₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.27C4^2	480,173
C₃₀.₂₈C₄² = C₁₂₀⋊₁₃C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.28C4^2	480,175
C₃₀.₂₉C₄² = C₃₀.₂₉C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.29C4^2	480,191
C₃₀.₃₀C₄² = C₁₂×C₅⋊₂C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.30C4^2	480,80
C₃₀.₃₁C₄² = C₃×C₄².D₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.31C4^2	480,81
C₃₀.₃₂C₄² = Dic₅×C₂₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.32C4^2	480,91
C₃₀.₃₃C₄² = C₃×C₄₀⋊₈C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.33C4^2	480,93
C₃₀.₃₄C₄² = C₃×C₁₀.₁₀C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.34C4^2	480,109
C₃₀.₃₅C₄² = C₂₀×C₃⋊C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.35C4^2	480,121
C₃₀.₃₆C₄² = C₅×C₄².S₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.36C4^2	480,122
C₃₀.₃₇C₄² = Dic₃×C₄₀	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.37C4^2	480,132
C₃₀.₃₈C₄² = C₅×C₂₄⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.38C4^2	480,134
C₃₀.₃₉C₄² = C₅×C₆.C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₃₀	480		C30.39C4^2	480,150
C₃₀.₄₀C₄² = C₁₅×C₂.C₄²	central extension (φ=1)	480		C30.40C4^2	480,198
C₃₀.₄₁C₄² = C₁₅×C₈⋊C₄	central extension (φ=1)	480		C30.41C4^2	480,200

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Extensions 1→N→G→Q→1 with N=C30 and Q=C42

Extensions 1→N→G→Q→1 with N=C₃₀ and Q=C₄²