Extensions 1→N→G→Q→1 with N=Dic₁₂ and Q=C₂²

Direct product G=N×Q with N=Dic₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₁₂		192		C2^2xDic12	192,1301

Semidirect products G=N:Q with N=Dic₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂⋊₁C₂² = D₈⋊₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	48	8-	Dic12:1C2^2	192,1332
Dic₁₂⋊₂C₂² = D₈⋊₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	48	8-	Dic12:2C2^2	192,1334
Dic₁₂⋊₃C₂² = S₃×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	48	8-	Dic12:3C2^2	192,1335
Dic₁₂⋊₄C₂² = D₈⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	48	4	Dic12:4C2^2	192,470
Dic₁₂⋊₅C₂² = S₃×SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	48	4	Dic12:5C2^2	192,472
Dic₁₂⋊₆C₂² = C₂×C₄₈⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96		Dic12:6C2^2	192,462
Dic₁₂⋊₇C₂² = C₁₆⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	48	4+	Dic12:7C2^2	192,467
Dic₁₂⋊₈C₂² = C₂×C₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96		Dic12:8C2^2	192,1306
Dic₁₂⋊₉C₂² = C₂₄.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:9C2^2	192,1307
Dic₁₂⋊₁₀C₂² = D₄.₁₁D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:10C2^2	192,1310
Dic₁₂⋊₁₁C₂² = D₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:11C2^2	192,706
Dic₁₂⋊₁₂C₂² = C₂×D₈.S₃	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96		Dic12:12C2^2	192,707
Dic₁₂⋊₁₃C₂² = C₂×D₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96		Dic12:13C2^2	192,1315
Dic₁₂⋊₁₄C₂² = D₈⋊₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:14C2^2	192,1316
Dic₁₂⋊₁₅C₂² = C₂×S₃×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96		Dic12:15C2^2	192,1322
Dic₁₂⋊₁₆C₂² = S₃×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:16C2^2	192,1326
Dic₁₂⋊₁₇C₂² = C₂×D₄.D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96		Dic12:17C2^2	192,1319
Dic₁₂⋊₁₈C₂² = SD₁₆⋊₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:18C2^2	192,1321
Dic₁₂⋊₁₉C₂² = SD₁₆⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:19C2^2	192,1327
Dic₁₂⋊₂₀C₂² = C₂×C₄○D₂₄	φ: trivial image	96		Dic12:20C2^2	192,1300
Dic₁₂⋊₂₁C₂² = D₄.₁₂D₁₂	φ: trivial image	48	4+	Dic12:21C2^2	192,1311

Non-split extensions G=N.Q with N=Dic₁₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂.₁C₂² = SD₁₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	96	8-	Dic12.1C2^2	192,1338
Dic₁₂.₂C₂² = D₁₆⋊₃S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	96	4-	Dic12.2C2^2	192,471
Dic₁₂.₃C₂² = SD₃₂⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	96	4-	Dic12.3C2^2	192,474
Dic₁₂.₄C₂² = D₆.₂D₈	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	96	4	Dic12.4C2^2	192,475
Dic₁₂.₅C₂² = S₃×Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	96	4-	Dic12.5C2^2	192,476
Dic₁₂.₆C₂² = Q₃₂⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out Dic₁₂	96	4	Dic12.6C2^2	192,477
Dic₁₂.₇C₂² = D₄₈⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96	2	Dic12.7C2^2	192,463
Dic₁₂.₈C₂² = C₂×Dic₂₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	192		Dic12.8C2^2	192,464
Dic₁₂.₉C₂² = C₁₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96	4-	Dic12.9C2^2	192,468
Dic₁₂.₁₀C₂² = D₄.₁₃D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96	4-	Dic12.10C2^2	192,1312
Dic₁₂.₁₁C₂² = C₂₄.₂₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96	4	Dic12.11C2^2	192,738
Dic₁₂.₁₂C₂² = C₂×C₃⋊Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	192		Dic12.12C2^2	192,739
Dic₁₂.₁₃C₂² = Q₁₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96	4	Dic12.13C2^2	192,753
Dic₁₂.₁₄C₂² = D₈.₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96	4-	Dic12.14C2^2	192,754
Dic₁₂.₁₅C₂² = D₁₂.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96	4	Dic12.15C2^2	192,1325
Dic₁₂.₁₆C₂² = D₈.₁₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₁₂	96	4-	Dic12.16C2^2	192,1330

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Extensions 1→N→G→Q→1 with N=Dic12 and Q=C22

Extensions 1→N→G→Q→1 with N=Dic₁₂ and Q=C₂²