Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂×D₄

Direct product G=N×Q with N=C₁₈ and Q=C₂×D₄

		d	ρ	Label	ID
D₄×C₂×C₁₈		144		D4xC2xC18	288,368

Semidirect products G=N:Q with N=C₁₈ and Q=C₂×D₄

extension	φ:Q→Aut N	d	Label	ID
C₁₈⋊₁(C₂×D₄) = C₂²×D₃₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144	C18:1(C2xD4)	288,354
C₁₈⋊₂(C₂×D₄) = C₂×D₄×D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	72	C18:2(C2xD4)	288,356
C₁₈⋊₃(C₂×D₄) = C₂²×C₉⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144	C18:3(C2xD4)	288,366

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₂×D₄) = C₃₆⋊₂Q₈	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18.1(C2xD4)	288,79
C₁₈.₂(C₂×D₄) = C₄×D₃₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.2(C2xD4)	288,83
C₁₈.₃(C₂×D₄) = C₄²⋊₆D₉	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.3(C2xD4)	288,84
C₁₈.₄(C₂×D₄) = C₄²⋊₇D₉	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.4(C2xD4)	288,85
C₁₈.₅(C₂×D₄) = C₂²⋊₃D₃₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	72		C18.5(C2xD4)	288,92
C₁₈.₆(C₂×D₄) = C₂².₄D₃₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.6(C2xD4)	288,96
C₁₈.₇(C₂×D₄) = C₄⋊D₃₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.7(C2xD4)	288,105
C₁₈.₈(C₂×D₄) = D₁₈⋊₂Q₈	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.8(C2xD4)	288,107
C₁₈.₉(C₂×D₄) = C₂×Dic₃₆	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18.9(C2xD4)	288,109
C₁₈.₁₀(C₂×D₄) = C₂×C₇₂⋊C₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.10(C2xD4)	288,113
C₁₈.₁₁(C₂×D₄) = C₂×D₇₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.11(C2xD4)	288,114
C₁₈.₁₂(C₂×D₄) = D₇₂⋊₇C₂	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144	2	C18.12(C2xD4)	288,115
C₁₈.₁₃(C₂×D₄) = C₈⋊D₁₈	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	72	4+	C18.13(C2xD4)	288,118
C₁₈.₁₄(C₂×D₄) = C₈.D₁₈	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	144	4-	C18.14(C2xD4)	288,119
C₁₈.₁₅(C₂×D₄) = C₂×C₄⋊Dic₉	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18.15(C2xD4)	288,135
C₁₈.₁₆(C₂×D₄) = C₂²⋊₂Dic₁₈	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.16(C2xD4)	288,88
C₁₈.₁₇(C₂×D₄) = C₂²⋊C₄×D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	72		C18.17(C2xD4)	288,90
C₁₈.₁₈(C₂×D₄) = Dic₉⋊₄D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.18(C2xD4)	288,91
C₁₈.₁₉(C₂×D₄) = C₂³.₉D₁₈	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.19(C2xD4)	288,93
C₁₈.₂₀(C₂×D₄) = D₁₈⋊D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.20(C2xD4)	288,94
C₁₈.₂₁(C₂×D₄) = Dic₉.D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.21(C2xD4)	288,95
C₁₈.₂₂(C₂×D₄) = C₃₆⋊Q₈	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	288		C18.22(C2xD4)	288,98
C₁₈.₂₃(C₂×D₄) = C₄⋊C₄×D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.23(C2xD4)	288,101
C₁₈.₂₄(C₂×D₄) = D₃₆⋊C₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.24(C2xD4)	288,103
C₁₈.₂₅(C₂×D₄) = D₁₈.D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.25(C2xD4)	288,104
C₁₈.₂₆(C₂×D₄) = D₁₈⋊Q₈	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.26(C2xD4)	288,106
C₁₈.₂₇(C₂×D₄) = D₈×D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	72	4+	C18.27(C2xD4)	288,120
C₁₈.₂₈(C₂×D₄) = D₈⋊D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	72	4	C18.28(C2xD4)	288,121
C₁₈.₂₉(C₂×D₄) = D₈⋊₃D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144	4-	C18.29(C2xD4)	288,122
C₁₈.₃₀(C₂×D₄) = SD₁₆×D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	72	4	C18.30(C2xD4)	288,123
C₁₈.₃₁(C₂×D₄) = D₇₂⋊C₂	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	72	4+	C18.31(C2xD4)	288,124
C₁₈.₃₂(C₂×D₄) = SD₁₆⋊D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144	4-	C18.32(C2xD4)	288,125
C₁₈.₃₃(C₂×D₄) = SD₁₆⋊₃D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144	4	C18.33(C2xD4)	288,126
C₁₈.₃₄(C₂×D₄) = Q₁₆×D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144	4-	C18.34(C2xD4)	288,127
C₁₈.₃₅(C₂×D₄) = Q₁₆⋊D₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144	4	C18.35(C2xD4)	288,128
C₁₈.₃₆(C₂×D₄) = D₇₂⋊₅C₂	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144	4+	C18.36(C2xD4)	288,129
C₁₈.₃₇(C₂×D₄) = D₄×Dic₉	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.37(C2xD4)	288,144
C₁₈.₃₈(C₂×D₄) = Dic₉⋊D₄	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₁₈	144		C18.38(C2xD4)	288,149
C₁₈.₃₉(C₂×D₄) = C₂×Dic₉⋊C₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	288		C18.39(C2xD4)	288,133
C₁₈.₄₀(C₂×D₄) = C₃₆.₄₉D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.40(C2xD4)	288,134
C₁₈.₄₁(C₂×D₄) = C₂×D₁₈⋊C₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.41(C2xD4)	288,137
C₁₈.₄₂(C₂×D₄) = C₄×C₉⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.42(C2xD4)	288,138
C₁₈.₄₃(C₂×D₄) = C₂³.₂₈D₁₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.43(C2xD4)	288,139
C₁₈.₄₄(C₂×D₄) = C₃₆⋊₇D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.44(C2xD4)	288,140
C₁₈.₄₅(C₂×D₄) = C₂×D₄.D₉	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.45(C2xD4)	288,141
C₁₈.₄₆(C₂×D₄) = C₂×D₄⋊D₉	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.46(C2xD4)	288,142
C₁₈.₄₇(C₂×D₄) = D₃₆⋊₆C₂²	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	72	4	C18.47(C2xD4)	288,143
C₁₈.₄₈(C₂×D₄) = C₂³.₂₃D₁₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.48(C2xD4)	288,145
C₁₈.₄₉(C₂×D₄) = C₃₆.₁₇D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.49(C2xD4)	288,146
C₁₈.₅₀(C₂×D₄) = C₂³⋊₂D₁₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	72		C18.50(C2xD4)	288,147
C₁₈.₅₁(C₂×D₄) = C₃₆⋊₂D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.51(C2xD4)	288,148
C₁₈.₅₂(C₂×D₄) = C₃₆⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.52(C2xD4)	288,150
C₁₈.₅₃(C₂×D₄) = C₂×C₉⋊Q₁₆	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	288		C18.53(C2xD4)	288,151
C₁₈.₅₄(C₂×D₄) = C₂×Q₈⋊₂D₉	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.54(C2xD4)	288,152
C₁₈.₅₅(C₂×D₄) = C₃₆.C₂³	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144	4	C18.55(C2xD4)	288,153
C₁₈.₅₆(C₂×D₄) = Dic₉⋊Q₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	288		C18.56(C2xD4)	288,154
C₁₈.₅₇(C₂×D₄) = D₁₈⋊₃Q₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.57(C2xD4)	288,156
C₁₈.₅₈(C₂×D₄) = C₃₆.₂₃D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.58(C2xD4)	288,157
C₁₈.₅₉(C₂×D₄) = D₄.D₁₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144	4-	C18.59(C2xD4)	288,159
C₁₈.₆₀(C₂×D₄) = D₄⋊D₁₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	72	4+	C18.60(C2xD4)	288,160
C₁₈.₆₁(C₂×D₄) = D₄.₉D₁₈	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144	4	C18.61(C2xD4)	288,161
C₁₈.₆₂(C₂×D₄) = C₂×C₁₈.D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	144		C18.62(C2xD4)	288,162
C₁₈.₆₃(C₂×D₄) = C₂⁴⋊₄D₉	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₁₈	72		C18.63(C2xD4)	288,163
C₁₈.₆₄(C₂×D₄) = C₂²⋊C₄×C₁₈	central extension (φ=1)	144		C18.64(C2xD4)	288,165
C₁₈.₆₅(C₂×D₄) = C₄⋊C₄×C₁₈	central extension (φ=1)	288		C18.65(C2xD4)	288,166
C₁₈.₆₆(C₂×D₄) = D₄×C₃₆	central extension (φ=1)	144		C18.66(C2xD4)	288,168
C₁₈.₆₇(C₂×D₄) = C₉×C₂²≀C₂	central extension (φ=1)	72		C18.67(C2xD4)	288,170
C₁₈.₆₈(C₂×D₄) = C₉×C₄⋊D₄	central extension (φ=1)	144		C18.68(C2xD4)	288,171
C₁₈.₆₉(C₂×D₄) = C₉×C₂²⋊Q₈	central extension (φ=1)	144		C18.69(C2xD4)	288,172
C₁₈.₇₀(C₂×D₄) = C₉×C₂².D₄	central extension (φ=1)	144		C18.70(C2xD4)	288,173
C₁₈.₇₁(C₂×D₄) = C₉×C₄.₄D₄	central extension (φ=1)	144		C18.71(C2xD4)	288,174
C₁₈.₇₂(C₂×D₄) = C₉×C₄⋊₁D₄	central extension (φ=1)	144		C18.72(C2xD4)	288,177
C₁₈.₇₃(C₂×D₄) = C₉×C₄⋊Q₈	central extension (φ=1)	288		C18.73(C2xD4)	288,178
C₁₈.₇₄(C₂×D₄) = D₈×C₁₈	central extension (φ=1)	144		C18.74(C2xD4)	288,182
C₁₈.₇₅(C₂×D₄) = SD₁₆×C₁₈	central extension (φ=1)	144		C18.75(C2xD4)	288,183
C₁₈.₇₆(C₂×D₄) = Q₁₆×C₁₈	central extension (φ=1)	288		C18.76(C2xD4)	288,184
C₁₈.₇₇(C₂×D₄) = C₉×C₄○D₈	central extension (φ=1)	144	2	C18.77(C2xD4)	288,185
C₁₈.₇₈(C₂×D₄) = C₉×C₈⋊C₂²	central extension (φ=1)	72	4	C18.78(C2xD4)	288,186
C₁₈.₇₉(C₂×D₄) = C₉×C₈.C₂²	central extension (φ=1)	144	4	C18.79(C2xD4)	288,187

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Extensions 1→N→G→Q→1 with N=C18 and Q=C2×D4

Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂×D₄