Extensions 1→N→G→Q→1 with N=D₄⋊D₇ and Q=C₂²

Direct product G=N×Q with N=D₄⋊D₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄⋊D₇		224		C2^2xD4:D7	448,1245

Semidirect products G=N:Q with N=D₄⋊D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₇⋊₁C₂² = D₈⋊₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊D₇	112	4	D4:D7:1C2^2	448,1210
D₄⋊D₇⋊₂C₂² = D₂₈.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊D₇	112	4	D4:D7:2C2^2	448,1215
D₄⋊D₇⋊₃C₂² = D₈⋊₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊D₇	112	4+	D4:D7:3C2^2	448,1222
D₄⋊D₇⋊₄C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊D₇	112	4	D4:D7:4C2^2	448,1223
D₄⋊D₇⋊₅C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊D₇	56	8+	D4:D7:5C2^2	448,1225
D₄⋊D₇⋊₆C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊D₇	112	8-	D4:D7:6C2^2	448,1226
D₄⋊D₇⋊₇C₂² = D₅₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊D₇	112	8+	D4:D7:7C2^2	448,1230
D₄⋊D₇⋊₈C₂² = C₂×D₇×D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112		D4:D7:8C2^2	448,1207
D₄⋊D₇⋊₉C₂² = C₂×D₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112		D4:D7:9C2^2	448,1208
D₄⋊D₇⋊₁₀C₂² = C₂×D₅₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112		D4:D7:10C2^2	448,1212
D₄⋊D₇⋊₁₁C₂² = C₂×SD₁₆⋊₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	224		D4:D7:11C2^2	448,1214
D₄⋊D₇⋊₁₂C₂² = D₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	4	D4:D7:12C2^2	448,1220
D₄⋊D₇⋊₁₃C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	4	D4:D7:13C2^2	448,1221
D₄⋊D₇⋊₁₄C₂² = D₈⋊₅D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	8+	D4:D7:14C2^2	448,1227
D₄⋊D₇⋊₁₅C₂² = D₈⋊₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	8-	D4:D7:15C2^2	448,1228
D₄⋊D₇⋊₁₆C₂² = C₅₆.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	8+	D4:D7:16C2^2	448,1231
D₄⋊D₇⋊₁₇C₂² = C₂×D₄.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112		D4:D7:17C2^2	448,1246
D₄⋊D₇⋊₁₈C₂² = C₂×D₄⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112		D4:D7:18C2^2	448,1273
D₄⋊D₇⋊₁₉C₂² = C₂₈.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	4	D4:D7:19C2^2	448,1275
D₄⋊D₇⋊₂₀C₂² = D₂₈.₃₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	8+	D4:D7:20C2^2	448,1288
D₄⋊D₇⋊₂₁C₂² = D₂₈.₃₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	8-	D4:D7:21C2^2	448,1289
D₄⋊D₇⋊₂₂C₂² = D₂₈.₃₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	112	8+	D4:D7:22C2^2	448,1290
D₄⋊D₇⋊₂₃C₂² = C₂×D₄.₈D₁₄	φ: trivial image	224		D4:D7:23C2^2	448,1274

Non-split extensions G=N.Q with N=D₄⋊D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₇.C₂² = D₂₈.₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊D₇	224	8-	D4:D7.C2^2	448,1232
D₄⋊D₇.₂C₂² = D₂₈.₃₅C₂³	φ: trivial image	224	8-	D4:D7.2C2^2	448,1291

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D4⋊D7 and Q=C22

Extensions 1→N→G→Q→1 with N=D₄⋊D₇ and Q=C₂²