Extensions 1→N→G→Q→1 with N=C₂₈⋊D₄ and Q=C₂

Direct product G=N×Q with N=C₂₈⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈⋊D₄		224		C2xC28:D4	448,1256

Semidirect products G=N:Q with N=C₂₈⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₈⋊D₄⋊₁C₂ = D₂₈⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	56	8+	C28:D4:1C2	448,281
C₂₈⋊D₄⋊₂C₂ = D₂₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:2C2	448,320
C₂₈⋊D₄⋊₃C₂ = Dic₇⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:3C2	448,684
C₂₈⋊D₄⋊₄C₂ = C₅₆⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:4C2	448,685
C₂₈⋊D₄⋊₅C₂ = C₅₆⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:5C2	448,688
C₂₈⋊D₄⋊₆C₂ = C₅₆⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:6C2	448,710
C₂₈⋊D₄⋊₇C₂ = D₂₈⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	56	8+	C28:D4:7C2	448,732
C₂₈⋊D₄⋊₈C₂ = 2₊¹⁺⁴⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	56	8+	C28:D4:8C2	448,775
C₂₈⋊D₄⋊₉C₂ = Dic₁₄⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:9C2	448,1006
C₂₈⋊D₄⋊₁₀C₂ = C₄².₁₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:10C2	448,1015
C₂₈⋊D₄⋊₁₁C₂ = C₂⁴⋊₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:11C2	448,1043
C₂₈⋊D₄⋊₁₂C₂ = C₂⁴.₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:12C2	448,1045
C₂₈⋊D₄⋊₁₃C₂ = C₂⁴.₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:13C2	448,1048
C₂₈⋊D₄⋊₁₄C₂ = C₂₈⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:14C2	448,1049
C₂₈⋊D₄⋊₁₅C₂ = Dic₁₄⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:15C2	448,1052
C₂₈⋊D₄⋊₁₆C₂ = C₁₄.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:16C2	448,1060
C₂₈⋊D₄⋊₁₇C₂ = D₂₈⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:17C2	448,1062
C₂₈⋊D₄⋊₁₈C₂ = C₁₄.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:18C2	448,1068
C₂₈⋊D₄⋊₁₉C₂ = C₁₄.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:19C2	448,1072
C₂₈⋊D₄⋊₂₀C₂ = C₁₄.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:20C2	448,1073
C₂₈⋊D₄⋊₂₁C₂ = C₁₄.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:21C2	448,1116
C₂₈⋊D₄⋊₂₂C₂ = C₁₄.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:22C2	448,1119
C₂₈⋊D₄⋊₂₃C₂ = C₄².₂₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:23C2	448,1121
C₂₈⋊D₄⋊₂₄C₂ = C₄²⋊₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:24C2	448,1127
C₂₈⋊D₄⋊₂₅C₂ = D₇×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:25C2	448,1167
C₂₈⋊D₄⋊₂₆C₂ = C₄²⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:26C2	448,1168
C₂₈⋊D₄⋊₂₇C₂ = Dic₁₄⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:27C2	448,1171
C₂₈⋊D₄⋊₂₈C₂ = D₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:28C2	448,1254
C₂₈⋊D₄⋊₂₉C₂ = C₂⁴.₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:29C2	448,1258
C₂₈⋊D₄⋊₃₀C₂ = C₁₄.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	112		C28:D4:30C2	448,1283
C₂₈⋊D₄⋊₃₁C₂ = C₁₄.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4:31C2	448,1287
C₂₈⋊D₄⋊₃₂C₂ = C₄².₂₂₈D₁₄	φ: trivial image	224		C28:D4:32C2	448,1001
C₂₈⋊D₄⋊₃₃C₂ = (C₂×C₂₈)⋊₁₇D₄	φ: trivial image	224		C28:D4:33C2	448,1285

Non-split extensions G=N.Q with N=C₂₈⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₈⋊D₄.₁C₂ = C₂³.₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	56	8+	C28:D4.1C2	448,31
C₂₈⋊D₄.₂C₂ = Dic₇.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4.2C2	448,294
C₂₈⋊D₄.₃C₂ = Dic₁₄⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4.3C2	448,296
C₂₈⋊D₄.₄C₂ = C₄⋊C₄.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4.4C2	448,298
C₂₈⋊D₄.₅C₂ = Dic₇⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4.5C2	448,697
C₂₈⋊D₄.₆C₂ = C₅₆⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4.6C2	448,709
C₂₈⋊D₄.₇C₂ = C₄².₁₁₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4.7C2	448,1012
C₂₈⋊D₄.₈C₂ = C₁₄.₆₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4.8C2	448,1117
C₂₈⋊D₄.₉C₂ = C₄².₁₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊D₄	224		C28:D4.9C2	448,1134

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Extensions 1→N→G→Q→1 with N=C28⋊D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₈⋊D₄ and Q=C₂