Extensions 1→N→G→Q→1 with N=C₈⋊D₇ and Q=C₂²

Direct product G=N×Q with N=C₈⋊D₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₈⋊D₇		224		C2^2xC8:D7	448,1190

Semidirect products G=N:Q with N=C₈⋊D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₇⋊₁C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₇	56	8+	C8:D7:1C2^2	448,1225
C₈⋊D₇⋊₂C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₇	112	8-	C8:D7:2C2^2	448,1226
C₈⋊D₇⋊₃C₂² = D₈⋊₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₇	112	8+	C8:D7:3C2^2	448,1227
C₈⋊D₇⋊₄C₂² = D₈⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₇	112	8-	C8:D7:4C2^2	448,1228
C₈⋊D₇⋊₅C₂² = D₇×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₇	112	8-	C8:D7:5C2^2	448,1229
C₈⋊D₇⋊₆C₂² = D₅₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₇	112	8+	C8:D7:6C2^2	448,1230
C₈⋊D₇⋊₇C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₇	112	8+	C8:D7:7C2^2	448,1231
C₈⋊D₇⋊₈C₂² = C₂×D₅₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112		C8:D7:8C2^2	448,1212
C₈⋊D₇⋊₉C₂² = C₂×SD₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	224		C8:D7:9C2^2	448,1213
C₈⋊D₇⋊₁₀C₂² = D₂₈.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112	4	C8:D7:10C2^2	448,1215
C₈⋊D₇⋊₁₁C₂² = D₈⋊₁₅D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112	4+	C8:D7:11C2^2	448,1222
C₈⋊D₇⋊₁₂C₂² = C₂×D₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112		C8:D7:12C2^2	448,1208
C₈⋊D₇⋊₁₃C₂² = D₈⋊₁₃D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112	4	C8:D7:13C2^2	448,1210
C₈⋊D₇⋊₁₄C₂² = C₂×Q₁₆⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	224		C8:D7:14C2^2	448,1217
C₈⋊D₇⋊₁₅C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112	4	C8:D7:15C2^2	448,1221
C₈⋊D₇⋊₁₆C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112	4	C8:D7:16C2^2	448,1223
C₈⋊D₇⋊₁₇C₂² = C₂×D₇×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112		C8:D7:17C2^2	448,1196
C₈⋊D₇⋊₁₈C₂² = C₂×D₂₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	224		C8:D7:18C2^2	448,1197
C₈⋊D₇⋊₁₉C₂² = C₂₈.₇₀C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112	4	C8:D7:19C2^2	448,1198
C₈⋊D₇⋊₂₀C₂² = D₇×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	112	4	C8:D7:20C2^2	448,1202
C₈⋊D₇⋊₂₁C₂² = C₂×D₂₈.₂C₄	φ: trivial image	224		C8:D7:21C2^2	448,1191
C₈⋊D₇⋊₂₂C₂² = C₅₆.₄₉C₂³	φ: trivial image	112	4	C8:D7:22C2^2	448,1203

Non-split extensions G=N.Q with N=C₈⋊D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₇.C₂² = D₂₈.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₇	224	8-	C8:D7.C2^2	448,1232
C₈⋊D₇.₂C₂² = D₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	224	4-	C8:D7.2C2^2	448,1224
C₈⋊D₇.₃C₂² = D₂₈.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₇	224	4	C8:D7.3C2^2	448,1219

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Extensions 1→N→G→Q→1 with N=C8⋊D7 and Q=C22

Extensions 1→N→G→Q→1 with N=C₈⋊D₇ and Q=C₂²