Extensions 1→N→G→Q→1 with N=C₃:Q₁₆ and Q=C₂²

Direct product G=NxQ with N=C₃:Q₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₃:Q₁₆		192		C2^2xC3:Q16	192,1368

Semidirect products G=N:Q with N=C₃:Q₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:Q₁₆:₁C₂² = SD₁₆:₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Q₁₆	48	4	C3:Q16:1C2^2	192,1321
C₃:Q₁₆:₂C₂² = D₈:₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Q₁₆	48	4	C3:Q16:2C2^2	192,1329
C₃:Q₁₆:₃C₂² = D₈:₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Q₁₆	48	8-	C3:Q16:3C2^2	192,1332
C₃:Q₁₆:₄C₂² = S₃xC₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Q₁₆	48	8-	C3:Q16:4C2^2	192,1335
C₃:Q₁₆:₅C₂² = D₂₄:C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Q₁₆	48	8+	C3:Q16:5C2^2	192,1336
C₃:Q₁₆:₆C₂² = C₂xD₄.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	96		C3:Q16:6C2^2	192,1319
C₃:Q₁₆:₇C₂² = C₂xQ₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	96		C3:Q16:7C2^2	192,1320
C₃:Q₁₆:₈C₂² = C₂xS₃xQ₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	96		C3:Q16:8C2^2	192,1322
C₃:Q₁₆:₉C₂² = C₂xQ₁₆:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	96		C3:Q16:9C2^2	192,1323
C₃:Q₁₆:₁₀C₂² = S₃xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	48	4	C3:Q16:10C2^2	192,1326
C₃:Q₁₆:₁₁C₂² = SD₁₆:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	48	4	C3:Q16:11C2^2	192,1327
C₃:Q₁₆:₁₂C₂² = D₈:₅D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	48	8+	C3:Q16:12C2^2	192,1333
C₃:Q₁₆:₁₃C₂² = D₈:₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	48	8-	C3:Q16:13C2^2	192,1334
C₃:Q₁₆:₁₄C₂² = C₂₄.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	48	8+	C3:Q16:14C2^2	192,1337
C₃:Q₁₆:₁₅C₂² = C₂xQ₈.₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	96		C3:Q16:15C2^2	192,1367
C₃:Q₁₆:₁₆C₂² = C₁₂.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	48	4	C3:Q16:16C2^2	192,1381
C₃:Q₁₆:₁₇C₂² = C₂xQ₈.₁₄D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	96		C3:Q16:17C2^2	192,1382
C₃:Q₁₆:₁₈C₂² = D₁₂.₃₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	48	8-	C3:Q16:18C2^2	192,1395
C₃:Q₁₆:₁₉C₂² = D₁₂.₃₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	48	8+	C3:Q16:19C2^2	192,1396
C₃:Q₁₆:₂₀C₂² = C₂xQ₈.₁₃D₆	φ: trivial image	96		C3:Q16:20C2^2	192,1380
C₃:Q₁₆:₂₁C₂² = D₁₂.₃₂C₂³	φ: trivial image	48	8+	C3:Q16:21C2^2	192,1394

Non-split extensions G=N.Q with N=C₃:Q₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:Q₁₆.₁C₂² = D₁₂.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Q₁₆	96	4	C3:Q16.1C2^2	192,1325
C₃:Q₁₆.₂C₂² = D₈.₁₀D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃:Q₁₆	96	4-	C3:Q16.2C2^2	192,1330
C₃:Q₁₆.₃C₂² = SD₁₆.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃:Q₁₆	96	8-	C3:Q16.3C2^2	192,1338
C₃:Q₁₆.₄C₂² = D₁₂.₃₅C₂³	φ: trivial image	96	8-	C3:Q16.4C2^2	192,1397

Extensions 1→N→G→Q→1 with N=C3:Q16 and Q=C22

Extensions 1→N→G→Q→1 with N=C₃:Q₁₆ and Q=C₂²