Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂²×D₉

Direct product G=N×Q with N=C₆ and Q=C₂²×D₉

		d	ρ	Label	ID
D₉×C₂²×C₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=C₆ and Q=C₂²×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₂²×D₉) = C₂²×S₃×D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72		C6:1(C2^2xD9)	432,544
C₆⋊₂(C₂²×D₉) = C₂³×C₉⋊S₃	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6:2(C2^2xD9)	432,560

Non-split extensions G=N.Q with N=C₆ and Q=C₂²×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂²×D₉) = D₉×Dic₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	144	4-	C6.1(C2^2xD9)	432,280
C₆.₂(C₂²×D₉) = D₁₈.D₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.2(C2^2xD9)	432,281
C₆.₃(C₂²×D₉) = Dic₆⋊₅D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4+	C6.3(C2^2xD9)	432,282
C₆.₄(C₂²×D₉) = Dic₁₈⋊S₃	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.4(C2^2xD9)	432,283
C₆.₅(C₂²×D₉) = S₃×Dic₁₈	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	144	4-	C6.5(C2^2xD9)	432,284
C₆.₆(C₂²×D₉) = D₁₂⋊₅D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	144	4-	C6.6(C2^2xD9)	432,285
C₆.₇(C₂²×D₉) = D₁₂⋊D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.7(C2^2xD9)	432,286
C₆.₈(C₂²×D₉) = D₆.D₁₈	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.8(C2^2xD9)	432,287
C₆.₉(C₂²×D₉) = D₃₆⋊₅S₃	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	144	4-	C6.9(C2^2xD9)	432,288
C₆.₁₀(C₂²×D₉) = Dic₉.D₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4+	C6.10(C2^2xD9)	432,289
C₆.₁₁(C₂²×D₉) = C₄×S₃×D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.11(C2^2xD9)	432,290
C₆.₁₂(C₂²×D₉) = S₃×D₃₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4+	C6.12(C2^2xD9)	432,291
C₆.₁₃(C₂²×D₉) = D₉×D₁₂	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4+	C6.13(C2^2xD9)	432,292
C₆.₁₄(C₂²×D₉) = C₃₆⋊D₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.14(C2^2xD9)	432,293
C₆.₁₅(C₂²×D₉) = C₂×C₉⋊Dic₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.15(C2^2xD9)	432,303
C₆.₁₆(C₂²×D₉) = C₂×Dic₃×D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.16(C2^2xD9)	432,304
C₆.₁₇(C₂²×D₉) = D₁₈.₃D₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.17(C2^2xD9)	432,305
C₆.₁₈(C₂²×D₉) = C₂×C₁₈.D₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72		C6.18(C2^2xD9)	432,306
C₆.₁₉(C₂²×D₉) = C₂×C₃⋊D₃₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72		C6.19(C2^2xD9)	432,307
C₆.₂₀(C₂²×D₉) = C₂×S₃×Dic₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.20(C2^2xD9)	432,308
C₆.₂₁(C₂²×D₉) = Dic₃.D₁₈	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.21(C2^2xD9)	432,309
C₆.₂₂(C₂²×D₉) = D₁₈.₄D₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4-	C6.22(C2^2xD9)	432,310
C₆.₂₃(C₂²×D₉) = C₂×D₆⋊D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.23(C2^2xD9)	432,311
C₆.₂₄(C₂²×D₉) = C₂×C₉⋊D₁₂	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72		C6.24(C2^2xD9)	432,312
C₆.₂₅(C₂²×D₉) = S₃×C₉⋊D₄	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.25(C2^2xD9)	432,313
C₆.₂₆(C₂²×D₉) = D₉×C₃⋊D₄	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	72	4	C6.26(C2^2xD9)	432,314
C₆.₂₇(C₂²×D₉) = D₁₈⋊D₆	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₆	36	4+	C6.27(C2^2xD9)	432,315
C₆.₂₈(C₂²×D₉) = C₂×Dic₅₄	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	432		C6.28(C2^2xD9)	432,43
C₆.₂₉(C₂²×D₉) = C₂×C₄×D₂₇	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.29(C2^2xD9)	432,44
C₆.₃₀(C₂²×D₉) = C₂×D₁₀₈	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.30(C2^2xD9)	432,45
C₆.₃₁(C₂²×D₉) = D₁₀₈⋊₅C₂	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216	2	C6.31(C2^2xD9)	432,46
C₆.₃₂(C₂²×D₉) = D₄×D₂₇	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	108	4+	C6.32(C2^2xD9)	432,47
C₆.₃₃(C₂²×D₉) = D₄⋊₂D₂₇	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216	4-	C6.33(C2^2xD9)	432,48
C₆.₃₄(C₂²×D₉) = Q₈×D₂₇	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216	4-	C6.34(C2^2xD9)	432,49
C₆.₃₅(C₂²×D₉) = Q₈⋊₃D₂₇	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216	4+	C6.35(C2^2xD9)	432,50
C₆.₃₆(C₂²×D₉) = C₂²×Dic₂₇	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	432		C6.36(C2^2xD9)	432,51
C₆.₃₇(C₂²×D₉) = C₂×C₂₇⋊D₄	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.37(C2^2xD9)	432,52
C₆.₃₈(C₂²×D₉) = C₂³×D₂₇	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.38(C2^2xD9)	432,227
C₆.₃₉(C₂²×D₉) = C₂×C₁₂.D₉	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	432		C6.39(C2^2xD9)	432,380
C₆.₄₀(C₂²×D₉) = C₂×C₄×C₉⋊S₃	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.40(C2^2xD9)	432,381
C₆.₄₁(C₂²×D₉) = C₂×C₃₆⋊S₃	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.41(C2^2xD9)	432,382
C₆.₄₂(C₂²×D₉) = C₃₆.₇₀D₆	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.42(C2^2xD9)	432,383
C₆.₄₃(C₂²×D₉) = D₄×C₉⋊S₃	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	108		C6.43(C2^2xD9)	432,388
C₆.₄₄(C₂²×D₉) = C₃₆.₂₇D₆	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.44(C2^2xD9)	432,389
C₆.₄₅(C₂²×D₉) = Q₈×C₉⋊S₃	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.45(C2^2xD9)	432,392
C₆.₄₆(C₂²×D₉) = C₃₆.₂₉D₆	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.46(C2^2xD9)	432,393
C₆.₄₇(C₂²×D₉) = C₂²×C₉⋊Dic₃	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	432		C6.47(C2^2xD9)	432,396
C₆.₄₈(C₂²×D₉) = C₂×C₆.D₁₈	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₆	216		C6.48(C2^2xD9)	432,397
C₆.₄₉(C₂²×D₉) = C₆×Dic₁₈	central extension (φ=1)	144		C6.49(C2^2xD9)	432,340
C₆.₅₀(C₂²×D₉) = D₉×C₂×C₁₂	central extension (φ=1)	144		C6.50(C2^2xD9)	432,342
C₆.₅₁(C₂²×D₉) = C₆×D₃₆	central extension (φ=1)	144		C6.51(C2^2xD9)	432,343
C₆.₅₂(C₂²×D₉) = C₃×D₃₆⋊₅C₂	central extension (φ=1)	72	2	C6.52(C2^2xD9)	432,344
C₆.₅₃(C₂²×D₉) = C₃×D₄×D₉	central extension (φ=1)	72	4	C6.53(C2^2xD9)	432,356
C₆.₅₄(C₂²×D₉) = C₃×D₄⋊₂D₉	central extension (φ=1)	72	4	C6.54(C2^2xD9)	432,357
C₆.₅₅(C₂²×D₉) = C₃×Q₈×D₉	central extension (φ=1)	144	4	C6.55(C2^2xD9)	432,364
C₆.₅₆(C₂²×D₉) = C₃×Q₈⋊₃D₉	central extension (φ=1)	144	4	C6.56(C2^2xD9)	432,365
C₆.₅₇(C₂²×D₉) = C₂×C₆×Dic₉	central extension (φ=1)	144		C6.57(C2^2xD9)	432,372
C₆.₅₈(C₂²×D₉) = C₆×C₉⋊D₄	central extension (φ=1)	72		C6.58(C2^2xD9)	432,374

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Extensions 1→N→G→Q→1 with N=C6 and Q=C22×D9

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂²×D₉