Extensions 1→N→G→Q→1 with N=C₆ and Q=D₂₄

Direct product G=N×Q with N=C₆ and Q=D₂₄

		d	ρ	Label	ID
C₆×D₂₄		96		C6xD24	288,674

Semidirect products G=N:Q with N=C₆ and Q=D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₂₄ = C₂×C₃²⋊₅D₈	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	144		C6:1D24	288,760
C₆⋊₂D₂₄ = C₂×C₃⋊D₂₄	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₆	48		C6:2D24	288,472

Non-split extensions G=N.Q with N=C₆ and Q=D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₂₄ = D₁₄₄	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	144	2+	C6.1D24	288,6
C₆.₂D₂₄ = C₁₄₄⋊C₂	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	144	2	C6.2D24	288,7
C₆.₃D₂₄ = Dic₇₂	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	288	2-	C6.3D24	288,8
C₆.₄D₂₄ = C₇₂⋊₁C₄	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	288		C6.4D24	288,26
C₆.₅D₂₄ = C₂.D₇₂	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	144		C6.5D24	288,28
C₆.₆D₂₄ = C₂×D₇₂	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	144		C6.6D24	288,114
C₆.₇D₂₄ = C₃²⋊₅D₁₆	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	144		C6.7D24	288,274
C₆.₈D₂₄ = C₆.D₂₄	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	144		C6.8D24	288,275
C₆.₉D₂₄ = C₃²⋊₅Q₃₂	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	288		C6.9D24	288,276
C₆.₁₀D₂₄ = C₂₄⋊₁Dic₃	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	288		C6.10D24	288,293
C₆.₁₁D₂₄ = C₆².₈₄D₄	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₆	144		C6.11D24	288,296
C₆.₁₂D₂₄ = C₃⋊D₄₈	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₆	48	4+	C6.12D24	288,194
C₆.₁₃D₂₄ = C₃²⋊₃SD₃₂	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₆	96	4-	C6.13D24	288,196
C₆.₁₄D₂₄ = C₂₄.₄₉D₆	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₆	48	4+	C6.14D24	288,197
C₆.₁₅D₂₄ = C₃²⋊₃Q₃₂	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₆	96	4-	C6.15D24	288,199
C₆.₁₆D₂₄ = C₆.₁₆D₂₄	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₆	96		C6.16D24	288,211
C₆.₁₇D₂₄ = C₆.₁₇D₂₄	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₆	48		C6.17D24	288,212
C₆.₁₈D₂₄ = C₆.₁₈D₂₄	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₆	96		C6.18D24	288,223
C₆.₁₉D₂₄ = C₃×D₄₈	central extension (φ=1)	96	2	C6.19D24	288,233
C₆.₂₀D₂₄ = C₃×C₄₈⋊C₂	central extension (φ=1)	96	2	C6.20D24	288,234
C₆.₂₁D₂₄ = C₃×Dic₂₄	central extension (φ=1)	96	2	C6.21D24	288,235
C₆.₂₂D₂₄ = C₃×C₂₄⋊₁C₄	central extension (φ=1)	96		C6.22D24	288,252
C₆.₂₃D₂₄ = C₃×C₂.D₂₄	central extension (φ=1)	96		C6.23D24	288,255

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Extensions 1→N→G→Q→1 with N=C6 and Q=D24

Extensions 1→N→G→Q→1 with N=C₆ and Q=D₂₄