Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×M₄(2)

Direct product G=N×Q with N=C₂² and Q=C₃×M₄(2)

		d	ρ	Label	ID
C₂×C₆×M₄(2)		96		C2xC6xM4(2)	192,1455

Semidirect products G=N:Q with N=C₂² and Q=C₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×M₄(2)) = A₄×M₄(2)	φ: C₃×M₄(2)/M₄(2) → C₃ ⊆ Aut C₂²	24	6	C2^2:(C3xM4(2))	192,1011
C₂²⋊₂(C₃×M₄(2)) = C₃×C₈⋊₉D₄	φ: C₃×M₄(2)/C₂₄ → C₂ ⊆ Aut C₂²	96		C2^2:2(C3xM4(2))	192,868
C₂²⋊₃(C₃×M₄(2)) = C₃×C₂⁴.₄C₄	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:3(C3xM4(2))	192,840

Non-split extensions G=N.Q with N=C₂² and Q=C₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₃×M₄(2)) = C₃×D₄.C₈	φ: C₃×M₄(2)/C₂₄ → C₂ ⊆ Aut C₂²	96	2	C2^2.1(C3xM4(2))	192,156
C₂².₂(C₃×M₄(2)) = C₃×C₂³⋊C₈	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2.2(C3xM4(2))	192,129
C₂².₃(C₃×M₄(2)) = C₃×C₂².M₄(2)	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.3(C3xM4(2))	192,130
C₂².₄(C₃×M₄(2)) = C₃×C₁₆⋊C₄	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₂²	48	4	C2^2.4(C3xM4(2))	192,153
C₂².₅(C₃×M₄(2)) = C₃×C₈.C₈	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₂²	48	2	C2^2.5(C3xM4(2))	192,170
C₂².₆(C₃×M₄(2)) = C₃×C₄².₆C₄	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₂²	96		C2^2.6(C3xM4(2))	192,865
C₂².₇(C₃×M₄(2)) = C₃×C₂².₇C₄²	central extension (φ=1)	192		C2^2.7(C3xM4(2))	192,142
C₂².₈(C₃×M₄(2)) = C₆×C₈⋊C₄	central extension (φ=1)	192		C2^2.8(C3xM4(2))	192,836
C₂².₉(C₃×M₄(2)) = C₆×C₂²⋊C₈	central extension (φ=1)	96		C2^2.9(C3xM4(2))	192,839
C₂².₁₀(C₃×M₄(2)) = C₆×C₄⋊C₈	central extension (φ=1)	192		C2^2.10(C3xM4(2))	192,855

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁