Extensions 1→N→G→Q→1 with N=C₂₄⋊C₂ and Q=C₂²

Direct product G=N×Q with N=C₂₄⋊C₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₂₄⋊C₂		96		C2^2xC24:C2	192,1298

Semidirect products G=N:Q with N=C₂₄⋊C₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₄⋊C₂⋊₁C₂² = S₃×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂₄⋊C₂	24	8+	C24:C2:1C2^2	192,1331
C₂₄⋊C₂⋊₂C₂² = D₈⋊₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂₄⋊C₂	48	8-	C24:C2:2C2^2	192,1332
C₂₄⋊C₂⋊₃C₂² = D₈⋊₅D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂₄⋊C₂	48	8+	C24:C2:3C2^2	192,1333
C₂₄⋊C₂⋊₄C₂² = D₈⋊₆D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂₄⋊C₂	48	8-	C24:C2:4C2^2	192,1334
C₂₄⋊C₂⋊₅C₂² = S₃×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂₄⋊C₂	48	8-	C24:C2:5C2^2	192,1335
C₂₄⋊C₂⋊₆C₂² = D₂₄⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂₄⋊C₂	48	8+	C24:C2:6C2^2	192,1336
C₂₄⋊C₂⋊₇C₂² = C₂₄.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₂₄⋊C₂	48	8+	C24:C2:7C2^2	192,1337
C₂₄⋊C₂⋊₈C₂² = C₂×C₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48		C24:C2:8C2^2	192,1305
C₂₄⋊C₂⋊₉C₂² = C₂×C₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	96		C24:C2:9C2^2	192,1306
C₂₄⋊C₂⋊₁₀C₂² = C₂₄.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48	4	C24:C2:10C2^2	192,1307
C₂₄⋊C₂⋊₁₁C₂² = D₄.₁₁D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48	4	C24:C2:11C2^2	192,1310
C₂₄⋊C₂⋊₁₂C₂² = D₄.₁₂D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48	4+	C24:C2:12C2^2	192,1311
C₂₄⋊C₂⋊₁₃C₂² = C₂×D₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48		C24:C2:13C2^2	192,1314
C₂₄⋊C₂⋊₁₄C₂² = D₈⋊₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48	4	C24:C2:14C2^2	192,1316
C₂₄⋊C₂⋊₁₅C₂² = C₂×Q₁₆⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	96		C24:C2:15C2^2	192,1323
C₂₄⋊C₂⋊₁₆C₂² = SD₁₆⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48	4	C24:C2:16C2^2	192,1327
C₂₄⋊C₂⋊₁₇C₂² = C₂×S₃×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48		C24:C2:17C2^2	192,1317
C₂₄⋊C₂⋊₁₈C₂² = C₂×Q₈.₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	96		C24:C2:18C2^2	192,1320
C₂₄⋊C₂⋊₁₉C₂² = SD₁₆⋊₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48	4	C24:C2:19C2^2	192,1321
C₂₄⋊C₂⋊₂₀C₂² = S₃×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48	4	C24:C2:20C2^2	192,1326
C₂₄⋊C₂⋊₂₁C₂² = D₈⋊₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	48	4	C24:C2:21C2^2	192,1329
C₂₄⋊C₂⋊₂₂C₂² = C₂×C₄○D₂₄	φ: trivial image	96		C24:C2:22C2^2	192,1300

Non-split extensions G=N.Q with N=C₂₄⋊C₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₄⋊C₂.C₂² = SD₁₆.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂₄⋊C₂	96	8-	C24:C2.C2^2	192,1338
C₂₄⋊C₂.₂C₂² = D₄.₁₃D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	96	4-	C24:C2.2C2^2	192,1312
C₂₄⋊C₂.₃C₂² = D₁₂.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂₄⋊C₂	96	4	C24:C2.3C2^2	192,1325

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Extensions 1→N→G→Q→1 with N=C24⋊C2 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂₄⋊C₂ and Q=C₂²