Extensions 1→N→G→Q→1 with N=C₆² and Q=Q₈

Direct product G=N×Q with N=C₆² and Q=Q₈

		d	ρ	Label	ID
Q₈×C₆²		288		Q8xC6^2	288,1020

Semidirect products G=N:Q with N=C₆² and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²⋊₁Q₈ = C₆²⋊Q₈	φ: Q₈/C₁ → Q₈ ⊆ Aut C₆²	24	8+	C6^2:1Q8	288,895
C₆²⋊₂Q₈ = C₂²×PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₆²	36		C6^2:2Q8	288,1032
C₆²⋊₃Q₈ = C₆²⋊₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	48		C6^2:3Q8	288,612
C₆²⋊₄Q₈ = C₆²⋊₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	48		C6^2:4Q8	288,630
C₆²⋊₅Q₈ = C₃×Dic₃.D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	48		C6^2:5Q8	288,649
C₆²⋊₆Q₈ = C₆²⋊₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	144		C6^2:6Q8	288,735
C₆²⋊₇Q₈ = C₂²×C₃²⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	96		C6^2:7Q8	288,975
C₆²⋊₈Q₈ = C₃²×C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	144		C6^2:8Q8	288,819
C₆²⋊₉Q₈ = C₃×C₁₂.₄₈D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	48		C6^2:9Q8	288,695
C₆²⋊₁₀Q₈ = C₆²⋊₁₀Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	144		C6^2:10Q8	288,781
C₆²⋊₁₁Q₈ = C₂×C₆×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	96		C6^2:11Q8	288,988
C₆²⋊₁₂Q₈ = C₂²×C₃²⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	288		C6^2:12Q8	288,1003

Non-split extensions G=N.Q with N=C₆² and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁Q₈ = C₆².Q₈	φ: Q₈/C₁ → Q₈ ⊆ Aut C₆²	48		C6^2.1Q8	288,395
C₆².₂Q₈ = C₆².₂Q₈	φ: Q₈/C₁ → Q₈ ⊆ Aut C₆²	48	8-	C6^2.2Q8	288,396
C₆².₃Q₈ = C₂×C₂.PSU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Aut C₆²	48		C6^2.3Q8	288,894
C₆².₄Q₈ = C₁₂.₈₂D₁₂	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	48	4	C6^2.4Q8	288,225
C₆².₅Q₈ = C₆².₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	48	4	C6^2.5Q8	288,226
C₆².₆Q₈ = C₆².₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	96		C6^2.6Q8	288,227
C₆².₇Q₈ = C₃×C₁₂.₅₃D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	48	4	C6^2.7Q8	288,256
C₆².₈Q₈ = C₆².₈Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	144		C6^2.8Q8	288,297
C₆².₉Q₈ = C₂×Dic₃⋊Dic₃	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	96		C6^2.9Q8	288,613
C₆².₁₀Q₈ = C₂×C₆².C₂²	φ: Q₈/C₂ → C₂² ⊆ Aut C₆²	96		C6^2.10Q8	288,615
C₆².₁₁Q₈ = C₃²×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	144		C6^2.11Q8	288,326
C₆².₁₂Q₈ = C₃×C₂₄.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	48	2	C6^2.12Q8	288,253
C₆².₁₃Q₈ = C₃×C₆.C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	96		C6^2.13Q8	288,265
C₆².₁₄Q₈ = C₁₂.₅₉D₁₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	144		C6^2.14Q8	288,294
C₆².₁₅Q₈ = C₆².₁₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	288		C6^2.15Q8	288,306
C₆².₁₆Q₈ = C₆×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	96		C6^2.16Q8	288,694
C₆².₁₇Q₈ = C₆×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	96		C6^2.17Q8	288,696
C₆².₁₈Q₈ = C₂×C₆.Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	288		C6^2.18Q8	288,780
C₆².₁₉Q₈ = C₂×C₁₂⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₆²	288		C6^2.19Q8	288,782
C₆².₂₀Q₈ = C₃²×C₂.C₄²	central extension (φ=1)	288		C6^2.20Q8	288,313
C₆².₂₁Q₈ = C₄⋊C₄×C₃×C₆	central extension (φ=1)	288		C6^2.21Q8	288,813

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C62 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₆² and Q=Q₈