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

Direct product G=N×Q with N=C₃⋊Q₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₃⋊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 = S₃×C₈.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 = C₂×D₄.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Q₁₆	96		C3:Q16:6C2^2	192,1319
C₃⋊Q₁₆⋊₇C₂² = C₂×Q₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Q₁₆	96		C3:Q16:7C2^2	192,1320
C₃⋊Q₁₆⋊₈C₂² = C₂×S₃×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Q₁₆	96		C3:Q16:8C2^2	192,1322
C₃⋊Q₁₆⋊₉C₂² = C₂×Q₁₆⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊Q₁₆	96		C3:Q16:9C2^2	192,1323
C₃⋊Q₁₆⋊₁₀C₂² = S₃×C₄○D₈	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 = C₂×Q₈.₁₁D₆	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 = C₂×Q₈.₁₄D₆	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 = C₂×Q₈.₁₃D₆	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

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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