Extensions 1→N→G→Q→1 with N=Dic₃⋊C₄ and Q=C₄

Direct product G=N×Q with N=Dic₃⋊C₄ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₃⋊C₄		192		C4xDic3:C4	192,490

Semidirect products G=N:Q with N=Dic₃⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊C₄⋊₁C₄ = (C₂×C₄²).₆S₃	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4:1C4	192,492
Dic₃⋊C₄⋊₂C₄ = C₆.(C₄×Q₈)	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4:2C4	192,206
Dic₃⋊C₄⋊₃C₄ = Dic₃⋊C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4:3C4	192,214
Dic₃⋊C₄⋊₄C₄ = Dic₃⋊C₄²	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4:4C4	192,208
Dic₃⋊C₄⋊₅C₄ = C₆.(C₄×D₄)	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4:5C4	192,211
Dic₃⋊C₄⋊₆C₄ = Dic₃⋊(C₄⋊C₄)	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4:6C4	192,535
Dic₃⋊C₄⋊₇C₄ = C₆.₆₇(C₄×D₄)	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4:7C4	192,537

Non-split extensions G=N.Q with N=Dic₃⋊C₄ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊C₄.₁C₄ = C₂₄⋊₁₂Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4.1C4	192,238
Dic₃⋊C₄.₂C₄ = C₄².₂₄₃D₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.2C4	192,249
Dic₃⋊C₄.₃C₄ = C₂₄⋊₃₃D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.3C4	192,670
Dic₃⋊C₄.₄C₄ = C₂₄⋊Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4.4C4	192,260
Dic₃⋊C₄.₅C₄ = D₆⋊₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.5C4	192,287
Dic₃⋊C₄.₆C₄ = Dic₃⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.6C4	192,288
Dic₃⋊C₄.₇C₄ = D₆.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.7C4	192,267
Dic₃⋊C₄.₈C₄ = C₄².₁₈₅D₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.8C4	192,268
Dic₃⋊C₄.₉C₄ = C₃⋊D₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.9C4	192,284
Dic₃⋊C₄.₁₀C₄ = C₃⋊C₈⋊₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.10C4	192,289
Dic₃⋊C₄.₁₁C₄ = Dic₆⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4.11C4	192,389
Dic₃⋊C₄.₁₂C₄ = C₄².₁₉₈D₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4.12C4	192,390
Dic₃⋊C₄.₁₃C₄ = C₄².₂₇D₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	192	Dic3:C4.13C4	192,387
Dic₃⋊C₄.₁₄C₄ = C₄².₃₀D₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.14C4	192,398
Dic₃⋊C₄.₁₅C₄ = C₄².₃₁D₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.15C4	192,399
Dic₃⋊C₄.₁₆C₄ = C₂₄⋊D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.16C4	192,686
Dic₃⋊C₄.₁₇C₄ = C₂₄⋊₂₁D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₃⋊C₄	96	Dic3:C4.17C4	192,687
Dic₃⋊C₄.₁₈C₄ = C₈×Dic₆	φ: trivial image	192	Dic3:C4.18C4	192,237
Dic₃⋊C₄.₁₉C₄ = D₆.C₄²	φ: trivial image	96	Dic3:C4.19C4	192,248
Dic₃⋊C₄.₂₀C₄ = C₈×C₃⋊D₄	φ: trivial image	96	Dic3:C4.20C4	192,668

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Dic3⋊C4 and Q=C4

Extensions 1→N→G→Q→1 with N=Dic₃⋊C₄ and Q=C₄