Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×D₉

Direct product G=N×Q with N=C₂² and Q=C₂²×D₉

		d	ρ	Label	ID
C₂⁴×D₉		144		C2^4xD9	288,839

Semidirect products G=N:Q with N=C₂² and Q=C₂²×D₉

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊(C₂²×D₉) = C₂²×C₃.S₄	φ: C₂²×D₉/C₂×C₆ → S₃ ⊆ Aut C₂²	36	C2^2:(C2^2xD9)	288,835
C₂²⋊₂(C₂²×D₉) = C₂×D₄×D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₂²	72	C2^2:2(C2^2xD9)	288,356
C₂²⋊₃(C₂²×D₉) = C₂²×C₉⋊D₄	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144	C2^2:3(C2^2xD9)	288,366

Non-split extensions G=N.Q with N=C₂² and Q=C₂²×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²×D₉) = C₂×D₄⋊₂D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.1(C2^2xD9)	288,357
C₂².₂(C₂²×D₉) = C₄○D₄×D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.2(C2^2xD9)	288,362
C₂².₃(C₂²×D₉) = D₄⋊₈D₁₈	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₂²	72	4+	C2^2.3(C2^2xD9)	288,363
C₂².₄(C₂²×D₉) = D₄.₁₀D₁₈	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₂²	144	4-	C2^2.4(C2^2xD9)	288,364
C₂².₅(C₂²×D₉) = C₂×D₃₆⋊₅C₂	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.5(C2^2xD9)	288,355
C₂².₆(C₂²×D₉) = D₄⋊₆D₁₈	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.6(C2^2xD9)	288,358
C₂².₇(C₂²×D₉) = Q₈.₁₅D₁₈	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144	4	C2^2.7(C2^2xD9)	288,361
C₂².₈(C₂²×D₉) = C₄×Dic₁₈	central extension (φ=1)	288		C2^2.8(C2^2xD9)	288,78
C₂².₉(C₂²×D₉) = C₄²×D₉	central extension (φ=1)	144		C2^2.9(C2^2xD9)	288,81
C₂².₁₀(C₂²×D₉) = C₄²⋊₂D₉	central extension (φ=1)	144		C2^2.10(C2^2xD9)	288,82
C₂².₁₁(C₂²×D₉) = C₄×D₃₆	central extension (φ=1)	144		C2^2.11(C2^2xD9)	288,83
C₂².₁₂(C₂²×D₉) = C₂³.₁₆D₁₈	central extension (φ=1)	144		C2^2.12(C2^2xD9)	288,87
C₂².₁₃(C₂²×D₉) = C₂²⋊C₄×D₉	central extension (φ=1)	72		C2^2.13(C2^2xD9)	288,90
C₂².₁₄(C₂²×D₉) = Dic₉⋊₄D₄	central extension (φ=1)	144		C2^2.14(C2^2xD9)	288,91
C₂².₁₅(C₂²×D₉) = Dic₉⋊₃Q₈	central extension (φ=1)	288		C2^2.15(C2^2xD9)	288,97
C₂².₁₆(C₂²×D₉) = C₄⋊C₄×D₉	central extension (φ=1)	144		C2^2.16(C2^2xD9)	288,101
C₂².₁₇(C₂²×D₉) = C₄⋊C₄⋊₇D₉	central extension (φ=1)	144		C2^2.17(C2^2xD9)	288,102
C₂².₁₈(C₂²×D₉) = D₃₆⋊C₄	central extension (φ=1)	144		C2^2.18(C2^2xD9)	288,103
C₂².₁₉(C₂²×D₉) = C₂×C₄×Dic₉	central extension (φ=1)	288		C2^2.19(C2^2xD9)	288,132
C₂².₂₀(C₂²×D₉) = C₂×Dic₉⋊C₄	central extension (φ=1)	288		C2^2.20(C2^2xD9)	288,133
C₂².₂₁(C₂²×D₉) = C₂×C₄⋊Dic₉	central extension (φ=1)	288		C2^2.21(C2^2xD9)	288,135
C₂².₂₂(C₂²×D₉) = C₂³.₂₆D₁₈	central extension (φ=1)	144		C2^2.22(C2^2xD9)	288,136
C₂².₂₃(C₂²×D₉) = C₂×D₁₈⋊C₄	central extension (φ=1)	144		C2^2.23(C2^2xD9)	288,137
C₂².₂₄(C₂²×D₉) = C₄×C₉⋊D₄	central extension (φ=1)	144		C2^2.24(C2^2xD9)	288,138
C₂².₂₅(C₂²×D₉) = D₄×Dic₉	central extension (φ=1)	144		C2^2.25(C2^2xD9)	288,144
C₂².₂₆(C₂²×D₉) = Q₈×Dic₉	central extension (φ=1)	288		C2^2.26(C2^2xD9)	288,155
C₂².₂₇(C₂²×D₉) = C₂×C₁₈.D₄	central extension (φ=1)	144		C2^2.27(C2^2xD9)	288,162
C₂².₂₈(C₂²×D₉) = C₂²×Dic₁₈	central extension (φ=1)	288		C2^2.28(C2^2xD9)	288,352
C₂².₂₉(C₂²×D₉) = C₂²×C₄×D₉	central extension (φ=1)	144		C2^2.29(C2^2xD9)	288,353
C₂².₃₀(C₂²×D₉) = C₂²×D₃₆	central extension (φ=1)	144		C2^2.30(C2^2xD9)	288,354
C₂².₃₁(C₂²×D₉) = C₂×Q₈×D₉	central extension (φ=1)	144		C2^2.31(C2^2xD9)	288,359
C₂².₃₂(C₂²×D₉) = C₂×Q₈⋊₃D₉	central extension (φ=1)	144		C2^2.32(C2^2xD9)	288,360
C₂².₃₃(C₂²×D₉) = C₂³×Dic₉	central extension (φ=1)	288		C2^2.33(C2^2xD9)	288,365
C₂².₃₄(C₂²×D₉) = C₃₆⋊₂Q₈	central stem extension (φ=1)	288		C2^2.34(C2^2xD9)	288,79
C₂².₃₅(C₂²×D₉) = C₃₆.₆Q₈	central stem extension (φ=1)	288		C2^2.35(C2^2xD9)	288,80
C₂².₃₆(C₂²×D₉) = C₄²⋊₆D₉	central stem extension (φ=1)	144		C2^2.36(C2^2xD9)	288,84
C₂².₃₇(C₂²×D₉) = C₄²⋊₇D₉	central stem extension (φ=1)	144		C2^2.37(C2^2xD9)	288,85
C₂².₃₈(C₂²×D₉) = C₄²⋊₃D₉	central stem extension (φ=1)	144		C2^2.38(C2^2xD9)	288,86
C₂².₃₉(C₂²×D₉) = C₂²⋊₂Dic₁₈	central stem extension (φ=1)	144		C2^2.39(C2^2xD9)	288,88
C₂².₄₀(C₂²×D₉) = C₂³.₈D₁₈	central stem extension (φ=1)	144		C2^2.40(C2^2xD9)	288,89
C₂².₄₁(C₂²×D₉) = C₂²⋊₃D₃₆	central stem extension (φ=1)	72		C2^2.41(C2^2xD9)	288,92
C₂².₄₂(C₂²×D₉) = C₂³.₉D₁₈	central stem extension (φ=1)	144		C2^2.42(C2^2xD9)	288,93
C₂².₄₃(C₂²×D₉) = D₁₈⋊D₄	central stem extension (φ=1)	144		C2^2.43(C2^2xD9)	288,94
C₂².₄₄(C₂²×D₉) = Dic₉.D₄	central stem extension (φ=1)	144		C2^2.44(C2^2xD9)	288,95
C₂².₄₅(C₂²×D₉) = C₂².₄D₃₆	central stem extension (φ=1)	144		C2^2.45(C2^2xD9)	288,96
C₂².₄₆(C₂²×D₉) = C₃₆⋊Q₈	central stem extension (φ=1)	288		C2^2.46(C2^2xD9)	288,98
C₂².₄₇(C₂²×D₉) = Dic₉.Q₈	central stem extension (φ=1)	288		C2^2.47(C2^2xD9)	288,99
C₂².₄₈(C₂²×D₉) = C₃₆.₃Q₈	central stem extension (φ=1)	288		C2^2.48(C2^2xD9)	288,100
C₂².₄₉(C₂²×D₉) = D₁₈.D₄	central stem extension (φ=1)	144		C2^2.49(C2^2xD9)	288,104
C₂².₅₀(C₂²×D₉) = C₄⋊D₃₆	central stem extension (φ=1)	144		C2^2.50(C2^2xD9)	288,105
C₂².₅₁(C₂²×D₉) = D₁₈⋊Q₈	central stem extension (φ=1)	144		C2^2.51(C2^2xD9)	288,106
C₂².₅₂(C₂²×D₉) = D₁₈⋊₂Q₈	central stem extension (φ=1)	144		C2^2.52(C2^2xD9)	288,107
C₂².₅₃(C₂²×D₉) = C₄⋊C₄⋊D₉	central stem extension (φ=1)	144		C2^2.53(C2^2xD9)	288,108
C₂².₅₄(C₂²×D₉) = C₃₆.₄₉D₄	central stem extension (φ=1)	144		C2^2.54(C2^2xD9)	288,134
C₂².₅₅(C₂²×D₉) = C₂³.₂₈D₁₈	central stem extension (φ=1)	144		C2^2.55(C2^2xD9)	288,139
C₂².₅₆(C₂²×D₉) = C₃₆⋊₇D₄	central stem extension (φ=1)	144		C2^2.56(C2^2xD9)	288,140
C₂².₅₇(C₂²×D₉) = C₂³.₂₃D₁₈	central stem extension (φ=1)	144		C2^2.57(C2^2xD9)	288,145
C₂².₅₈(C₂²×D₉) = C₃₆.₁₇D₄	central stem extension (φ=1)	144		C2^2.58(C2^2xD9)	288,146
C₂².₅₉(C₂²×D₉) = C₂³⋊₂D₁₈	central stem extension (φ=1)	72		C2^2.59(C2^2xD9)	288,147
C₂².₆₀(C₂²×D₉) = C₃₆⋊₂D₄	central stem extension (φ=1)	144		C2^2.60(C2^2xD9)	288,148
C₂².₆₁(C₂²×D₉) = Dic₉⋊D₄	central stem extension (φ=1)	144		C2^2.61(C2^2xD9)	288,149
C₂².₆₂(C₂²×D₉) = C₃₆⋊D₄	central stem extension (φ=1)	144		C2^2.62(C2^2xD9)	288,150
C₂².₆₃(C₂²×D₉) = Dic₉⋊Q₈	central stem extension (φ=1)	288		C2^2.63(C2^2xD9)	288,154
C₂².₆₄(C₂²×D₉) = D₁₈⋊₃Q₈	central stem extension (φ=1)	144		C2^2.64(C2^2xD9)	288,156
C₂².₆₅(C₂²×D₉) = C₃₆.₂₃D₄	central stem extension (φ=1)	144		C2^2.65(C2^2xD9)	288,157
C₂².₆₆(C₂²×D₉) = C₂⁴⋊₄D₉	central stem extension (φ=1)	72		C2^2.66(C2^2xD9)	288,163

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Extensions 1→N→G→Q→1 with N=C22 and Q=C22×D9

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×D₉