Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×D₇

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

		d	ρ	Label	ID
D₇×C₂⁴		112		D7xC2^4	224,196

Semidirect products G=N:Q with N=C₂² and Q=C₂²×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂²×D₇) = C₂×D₄×D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₂²	56		C2^2:1(C2^2xD7)	224,178
C₂²⋊₂(C₂²×D₇) = C₂²×C₇⋊D₄	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2:2(C2^2xD7)	224,188

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²×D₇) = C₂×D₄⋊₂D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.1(C2^2xD7)	224,179
C₂².₂(C₂²×D₇) = D₇×C₄○D₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.2(C2^2xD7)	224,184
C₂².₃(C₂²×D₇) = D₄⋊₈D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₂²	56	4+	C2^2.3(C2^2xD7)	224,185
C₂².₄(C₂²×D₇) = D₄.₁₀D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₂²	112	4-	C2^2.4(C2^2xD7)	224,186
C₂².₅(C₂²×D₇) = C₂×C₄○D₂₈	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.5(C2^2xD7)	224,177
C₂².₆(C₂²×D₇) = D₄⋊₆D₁₄	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.6(C2^2xD7)	224,180
C₂².₇(C₂²×D₇) = Q₈.₁₀D₁₄	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.7(C2^2xD7)	224,183
C₂².₈(C₂²×D₇) = C₄×Dic₁₄	central extension (φ=1)	224		C2^2.8(C2^2xD7)	224,63
C₂².₉(C₂²×D₇) = D₇×C₄²	central extension (φ=1)	112		C2^2.9(C2^2xD7)	224,66
C₂².₁₀(C₂²×D₇) = C₄²⋊D₇	central extension (φ=1)	112		C2^2.10(C2^2xD7)	224,67
C₂².₁₁(C₂²×D₇) = C₄×D₂₈	central extension (φ=1)	112		C2^2.11(C2^2xD7)	224,68
C₂².₁₂(C₂²×D₇) = C₂³.₁₁D₁₄	central extension (φ=1)	112		C2^2.12(C2^2xD7)	224,72
C₂².₁₃(C₂²×D₇) = D₇×C₂²⋊C₄	central extension (φ=1)	56		C2^2.13(C2^2xD7)	224,75
C₂².₁₄(C₂²×D₇) = Dic₇⋊₄D₄	central extension (φ=1)	112		C2^2.14(C2^2xD7)	224,76
C₂².₁₅(C₂²×D₇) = Dic₇⋊₃Q₈	central extension (φ=1)	224		C2^2.15(C2^2xD7)	224,82
C₂².₁₆(C₂²×D₇) = D₇×C₄⋊C₄	central extension (φ=1)	112		C2^2.16(C2^2xD7)	224,86
C₂².₁₇(C₂²×D₇) = C₄⋊C₄⋊₇D₇	central extension (φ=1)	112		C2^2.17(C2^2xD7)	224,87
C₂².₁₈(C₂²×D₇) = D₂₈⋊C₄	central extension (φ=1)	112		C2^2.18(C2^2xD7)	224,88
C₂².₁₉(C₂²×D₇) = C₂×C₄×Dic₇	central extension (φ=1)	224		C2^2.19(C2^2xD7)	224,117
C₂².₂₀(C₂²×D₇) = C₂×Dic₇⋊C₄	central extension (φ=1)	224		C2^2.20(C2^2xD7)	224,118
C₂².₂₁(C₂²×D₇) = C₂×C₄⋊Dic₇	central extension (φ=1)	224		C2^2.21(C2^2xD7)	224,120
C₂².₂₂(C₂²×D₇) = C₂³.₂₁D₁₄	central extension (φ=1)	112		C2^2.22(C2^2xD7)	224,121
C₂².₂₃(C₂²×D₇) = C₂×D₁₄⋊C₄	central extension (φ=1)	112		C2^2.23(C2^2xD7)	224,122
C₂².₂₄(C₂²×D₇) = C₄×C₇⋊D₄	central extension (φ=1)	112		C2^2.24(C2^2xD7)	224,123
C₂².₂₅(C₂²×D₇) = D₄×Dic₇	central extension (φ=1)	112		C2^2.25(C2^2xD7)	224,129
C₂².₂₆(C₂²×D₇) = Q₈×Dic₇	central extension (φ=1)	224		C2^2.26(C2^2xD7)	224,140
C₂².₂₇(C₂²×D₇) = C₂×C₂³.D₇	central extension (φ=1)	112		C2^2.27(C2^2xD7)	224,147
C₂².₂₈(C₂²×D₇) = C₂²×Dic₁₄	central extension (φ=1)	224		C2^2.28(C2^2xD7)	224,174
C₂².₂₉(C₂²×D₇) = D₇×C₂²×C₄	central extension (φ=1)	112		C2^2.29(C2^2xD7)	224,175
C₂².₃₀(C₂²×D₇) = C₂²×D₂₈	central extension (φ=1)	112		C2^2.30(C2^2xD7)	224,176
C₂².₃₁(C₂²×D₇) = C₂×Q₈×D₇	central extension (φ=1)	112		C2^2.31(C2^2xD7)	224,181
C₂².₃₂(C₂²×D₇) = C₂×Q₈⋊₂D₇	central extension (φ=1)	112		C2^2.32(C2^2xD7)	224,182
C₂².₃₃(C₂²×D₇) = C₂³×Dic₇	central extension (φ=1)	224		C2^2.33(C2^2xD7)	224,187
C₂².₃₄(C₂²×D₇) = C₂₈⋊₂Q₈	central stem extension (φ=1)	224		C2^2.34(C2^2xD7)	224,64
C₂².₃₅(C₂²×D₇) = C₂₈.₆Q₈	central stem extension (φ=1)	224		C2^2.35(C2^2xD7)	224,65
C₂².₃₆(C₂²×D₇) = C₂₈⋊₄D₄	central stem extension (φ=1)	112		C2^2.36(C2^2xD7)	224,69
C₂².₃₇(C₂²×D₇) = C₄.D₂₈	central stem extension (φ=1)	112		C2^2.37(C2^2xD7)	224,70
C₂².₃₈(C₂²×D₇) = C₄²⋊₂D₇	central stem extension (φ=1)	112		C2^2.38(C2^2xD7)	224,71
C₂².₃₉(C₂²×D₇) = C₂²⋊Dic₁₄	central stem extension (φ=1)	112		C2^2.39(C2^2xD7)	224,73
C₂².₄₀(C₂²×D₇) = C₂³.D₁₄	central stem extension (φ=1)	112		C2^2.40(C2^2xD7)	224,74
C₂².₄₁(C₂²×D₇) = C₂²⋊D₂₈	central stem extension (φ=1)	56		C2^2.41(C2^2xD7)	224,77
C₂².₄₂(C₂²×D₇) = D₁₄.D₄	central stem extension (φ=1)	112		C2^2.42(C2^2xD7)	224,78
C₂².₄₃(C₂²×D₇) = D₁₄⋊D₄	central stem extension (φ=1)	112		C2^2.43(C2^2xD7)	224,79
C₂².₄₄(C₂²×D₇) = Dic₇.D₄	central stem extension (φ=1)	112		C2^2.44(C2^2xD7)	224,80
C₂².₄₅(C₂²×D₇) = C₂².D₂₈	central stem extension (φ=1)	112		C2^2.45(C2^2xD7)	224,81
C₂².₄₆(C₂²×D₇) = C₂₈⋊Q₈	central stem extension (φ=1)	224		C2^2.46(C2^2xD7)	224,83
C₂².₄₇(C₂²×D₇) = Dic₇.Q₈	central stem extension (φ=1)	224		C2^2.47(C2^2xD7)	224,84
C₂².₄₈(C₂²×D₇) = C₂₈.₃Q₈	central stem extension (φ=1)	224		C2^2.48(C2^2xD7)	224,85
C₂².₄₉(C₂²×D₇) = D₁₄.₅D₄	central stem extension (φ=1)	112		C2^2.49(C2^2xD7)	224,89
C₂².₅₀(C₂²×D₇) = C₄⋊D₂₈	central stem extension (φ=1)	112		C2^2.50(C2^2xD7)	224,90
C₂².₅₁(C₂²×D₇) = D₁₄⋊Q₈	central stem extension (φ=1)	112		C2^2.51(C2^2xD7)	224,91
C₂².₅₂(C₂²×D₇) = D₁₄⋊₂Q₈	central stem extension (φ=1)	112		C2^2.52(C2^2xD7)	224,92
C₂².₅₃(C₂²×D₇) = C₄⋊C₄⋊D₇	central stem extension (φ=1)	112		C2^2.53(C2^2xD7)	224,93
C₂².₅₄(C₂²×D₇) = C₂₈.₄₈D₄	central stem extension (φ=1)	112		C2^2.54(C2^2xD7)	224,119
C₂².₅₅(C₂²×D₇) = C₂³.₂₃D₁₄	central stem extension (φ=1)	112		C2^2.55(C2^2xD7)	224,124
C₂².₅₆(C₂²×D₇) = C₂₈⋊₇D₄	central stem extension (φ=1)	112		C2^2.56(C2^2xD7)	224,125
C₂².₅₇(C₂²×D₇) = C₂³.₁₈D₁₄	central stem extension (φ=1)	112		C2^2.57(C2^2xD7)	224,130
C₂².₅₈(C₂²×D₇) = C₂₈.₁₇D₄	central stem extension (φ=1)	112		C2^2.58(C2^2xD7)	224,131
C₂².₅₉(C₂²×D₇) = C₂³⋊D₁₄	central stem extension (φ=1)	56		C2^2.59(C2^2xD7)	224,132
C₂².₆₀(C₂²×D₇) = C₂₈⋊₂D₄	central stem extension (φ=1)	112		C2^2.60(C2^2xD7)	224,133
C₂².₆₁(C₂²×D₇) = Dic₇⋊D₄	central stem extension (φ=1)	112		C2^2.61(C2^2xD7)	224,134
C₂².₆₂(C₂²×D₇) = C₂₈⋊D₄	central stem extension (φ=1)	112		C2^2.62(C2^2xD7)	224,135
C₂².₆₃(C₂²×D₇) = Dic₇⋊Q₈	central stem extension (φ=1)	224		C2^2.63(C2^2xD7)	224,139
C₂².₆₄(C₂²×D₇) = D₁₄⋊₃Q₈	central stem extension (φ=1)	112		C2^2.64(C2^2xD7)	224,141
C₂².₆₅(C₂²×D₇) = C₂₈.₂₃D₄	central stem extension (φ=1)	112		C2^2.65(C2^2xD7)	224,142
C₂².₆₆(C₂²×D₇) = C₂⁴⋊D₇	central stem extension (φ=1)	56		C2^2.66(C2^2xD7)	224,148

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Extensions 1→N→G→Q→1 with N=C22 and Q=C22×D7

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×D₇