Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃xD₄

Direct product G=NxQ with N=C₁₂ and Q=C₃xD₄

		d	ρ	Label	ID
D₄xC₃xC₁₂		144		D4xC3xC12	288,815

Semidirect products G=N:Q with N=C₁₂ and Q=C₃xD₄

extension	φ:Q→Aut N	d	Label	ID
C₁₂:₁(C₃xD₄) = C₃xC₁₂:D₄	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96	C12:1(C3xD4)	288,666
C₁₂:₂(C₃xD₄) = C₃xD₆:₃D₄	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48	C12:2(C3xD4)	288,709
C₁₂:₃(C₃xD₄) = C₃xC₁₂:₃D₄	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48	C12:3(C3xD4)	288,711
C₁₂:₄(C₃xD₄) = C₃xC₄:D₁₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96	C12:4(C3xD4)	288,645
C₁₂:₅(C₃xD₄) = C₁₂xD₁₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96	C12:5(C3xD4)	288,644
C₁₂:₆(C₃xD₄) = C₃²xC₄:₁D₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144	C12:6(C3xD4)	288,824
C₁₂:₇(C₃xD₄) = C₃xC₁₂:₇D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	C12:7(C3xD4)	288,701
C₁₂:₈(C₃xD₄) = C₁₂xC₃:D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	C12:8(C3xD4)	288,699
C₁₂:₉(C₃xD₄) = C₃²xC₄:D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144	C12:9(C3xD4)	288,818

Non-split extensions G=N.Q with N=C₁₂ and Q=C₃xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₃xD₄) = C₃xC₆.D₈	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.1(C3xD4)	288,243
C₁₂.₂(C₃xD₄) = C₃xC₆.SD₁₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.2(C3xD4)	288,244
C₁₂.₃(C₃xD₄) = C₃xC₃:D₁₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.3(C3xD4)	288,260
C₁₂.₄(C₃xD₄) = C₃xD₈.S₃	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.4(C3xD4)	288,261
C₁₂.₅(C₃xD₄) = C₃xC₈.₆D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96	4	C12.5(C3xD4)	288,262
C₁₂.₆(C₃xD₄) = C₃xC₃:Q₃₂	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96	4	C12.6(C3xD4)	288,263
C₁₂.₇(C₃xD₄) = C₃xD₄:Dic₃	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48		C12.7(C3xD4)	288,266
C₁₂.₈(C₃xD₄) = C₃xC₁₂.D₄	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	24	4	C12.8(C3xD4)	288,267
C₁₂.₉(C₃xD₄) = C₃xQ₈:₂Dic₃	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.9(C3xD4)	288,269
C₁₂.₁₀(C₃xD₄) = C₃xC₁₂.₁₀D₄	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.10(C3xD4)	288,270
C₁₂.₁₁(C₃xD₄) = C₃xC₄.D₁₂	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.11(C3xD4)	288,668
C₁₂.₁₂(C₃xD₄) = C₃xC₈:D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.12(C3xD4)	288,679
C₁₂.₁₃(C₃xD₄) = C₃xC₈.D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.13(C3xD4)	288,680
C₁₂.₁₄(C₃xD₄) = C₆xD₄:S₃	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48		C12.14(C3xD4)	288,702
C₁₂.₁₅(C₃xD₄) = C₃xD₁₂:₆C₂²	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	24	4	C12.15(C3xD4)	288,703
C₁₂.₁₆(C₃xD₄) = C₆xD₄.S₃	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48		C12.16(C3xD4)	288,704
C₁₂.₁₇(C₃xD₄) = C₃xC₂³.₁₂D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48		C12.17(C3xD4)	288,707
C₁₂.₁₈(C₃xD₄) = C₆xQ₈:₂S₃	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.18(C3xD4)	288,712
C₁₂.₁₉(C₃xD₄) = C₃xQ₈.₁₁D₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.19(C3xD4)	288,713
C₁₂.₂₀(C₃xD₄) = C₆xC₃:Q₁₆	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.20(C3xD4)	288,714
C₁₂.₂₁(C₃xD₄) = C₃xDic₃:Q₈	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.21(C3xD4)	288,715
C₁₂.₂₂(C₃xD₄) = C₃xD₆:₃Q₈	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.22(C3xD4)	288,717
C₁₂.₂₃(C₃xD₄) = C₃xC₁₂.₂₃D₄	φ: C₃xD₄/C₆ → C₂² ⊆ Aut C₁₂	96		C12.23(C3xD4)	288,718
C₁₂.₂₄(C₃xD₄) = C₃xD₄₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96	2	C12.24(C3xD4)	288,233
C₁₂.₂₅(C₃xD₄) = C₃xC₄₈:C₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96	2	C12.25(C3xD4)	288,234
C₁₂.₂₆(C₃xD₄) = C₃xDic₂₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96	2	C12.26(C3xD4)	288,235
C₁₂.₂₇(C₃xD₄) = C₃xC₁₂:₂Q₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.27(C3xD4)	288,640
C₁₂.₂₈(C₃xD₄) = C₃xC₄²:₇S₃	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.28(C3xD4)	288,646
C₁₂.₂₉(C₃xD₄) = C₆xC₂₄:C₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.29(C3xD4)	288,673
C₁₂.₃₀(C₃xD₄) = C₆xD₂₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.30(C3xD4)	288,674
C₁₂.₃₁(C₃xD₄) = C₆xDic₁₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.31(C3xD4)	288,676
C₁₂.₃₂(C₃xD₄) = C₃xC₁₂:C₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.32(C3xD4)	288,238
C₁₂.₃₃(C₃xD₄) = C₃xC₄²:₄S₃	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	24	2	C12.33(C3xD4)	288,239
C₁₂.₃₄(C₃xD₄) = C₃xC₂₄.C₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	48	2	C12.34(C3xD4)	288,253
C₁₂.₃₅(C₃xD₄) = C₃xC₄oD₂₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	48	2	C12.35(C3xD4)	288,675
C₁₂.₃₆(C₃xD₄) = C₉xD₁₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144	2	C12.36(C3xD4)	288,61
C₁₂.₃₇(C₃xD₄) = C₉xSD₃₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144	2	C12.37(C3xD4)	288,62
C₁₂.₃₈(C₃xD₄) = C₉xQ₃₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	288	2	C12.38(C3xD4)	288,63
C₁₂.₃₉(C₃xD₄) = C₉xC₄.₄D₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.39(C3xD4)	288,174
C₁₂.₄₀(C₃xD₄) = C₉xC₄:₁D₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.40(C3xD4)	288,177
C₁₂.₄₁(C₃xD₄) = C₉xC₄:Q₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.41(C3xD4)	288,178
C₁₂.₄₂(C₃xD₄) = D₈xC₁₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.42(C3xD4)	288,182
C₁₂.₄₃(C₃xD₄) = SD₁₆xC₁₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.43(C3xD4)	288,183
C₁₂.₄₄(C₃xD₄) = Q₁₆xC₁₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.44(C3xD4)	288,184
C₁₂.₄₅(C₃xD₄) = C₃²xD₁₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.45(C3xD4)	288,329
C₁₂.₄₆(C₃xD₄) = C₃²xSD₃₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.46(C3xD4)	288,330
C₁₂.₄₇(C₃xD₄) = C₃²xQ₃₂	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.47(C3xD4)	288,331
C₁₂.₄₈(C₃xD₄) = C₃²xC₄.₄D₄	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.48(C3xD4)	288,821
C₁₂.₄₉(C₃xD₄) = C₃²xC₄:Q₈	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.49(C3xD4)	288,825
C₁₂.₅₀(C₃xD₄) = D₈xC₃xC₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.50(C3xD4)	288,829
C₁₂.₅₁(C₃xD₄) = SD₁₆xC₃xC₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.51(C3xD4)	288,830
C₁₂.₅₂(C₃xD₄) = Q₁₆xC₃xC₆	φ: C₃xD₄/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.52(C3xD4)	288,831
C₁₂.₅₃(C₃xD₄) = C₃xC₂.Dic₁₂	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	96		C12.53(C3xD4)	288,250
C₁₂.₅₄(C₃xD₄) = C₃xC₂.D₂₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	96		C12.54(C3xD4)	288,255
C₁₂.₅₅(C₃xD₄) = C₃xC₁₂.₄₆D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	4	C12.55(C3xD4)	288,257
C₁₂.₅₆(C₃xD₄) = C₃xC₁₂.₄₇D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	4	C12.56(C3xD4)	288,258
C₁₂.₅₇(C₃xD₄) = C₃xC₁₂.₄₈D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48		C12.57(C3xD4)	288,695
C₁₂.₅₈(C₃xD₄) = C₃xD₄:D₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	4	C12.58(C3xD4)	288,720
C₁₂.₅₉(C₃xD₄) = C₃xQ₈.₁₄D₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	4	C12.59(C3xD4)	288,722
C₁₂.₆₀(C₃xD₄) = C₃xDic₃:C₈	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	96		C12.60(C3xD4)	288,248
C₁₂.₆₁(C₃xD₄) = C₃xD₆:C₈	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	96		C12.61(C3xD4)	288,254
C₁₂.₆₂(C₃xD₄) = C₃xC₁₂.₅₃D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	4	C12.62(C3xD4)	288,256
C₁₂.₆₃(C₃xD₄) = C₃xD₁₂:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	4	C12.63(C3xD4)	288,259
C₁₂.₆₄(C₃xD₄) = C₃xC₁₂.₅₅D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48		C12.64(C3xD4)	288,264
C₁₂.₆₅(C₃xD₄) = C₃xQ₈:₃Dic₃	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	4	C12.65(C3xD4)	288,271
C₁₂.₆₆(C₃xD₄) = C₃xQ₈.₁₃D₆	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	48	4	C12.66(C3xD4)	288,721
C₁₂.₆₇(C₃xD₄) = C₉xC₄.D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	72	4	C12.67(C3xD4)	288,50
C₁₂.₆₈(C₃xD₄) = C₉xC₄.₁₀D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144	4	C12.68(C3xD4)	288,51
C₁₂.₆₉(C₃xD₄) = C₉xD₄:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144		C12.69(C3xD4)	288,52
C₁₂.₇₀(C₃xD₄) = C₉xQ₈:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	288		C12.70(C3xD4)	288,53
C₁₂.₇₁(C₃xD₄) = C₉xC₄:D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144		C12.71(C3xD4)	288,171
C₁₂.₇₂(C₃xD₄) = C₉xC₂²:Q₈	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144		C12.72(C3xD4)	288,172
C₁₂.₇₃(C₃xD₄) = C₉xC₈:C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	72	4	C12.73(C3xD4)	288,186
C₁₂.₇₄(C₃xD₄) = C₉xC₈.C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144	4	C12.74(C3xD4)	288,187
C₁₂.₇₅(C₃xD₄) = C₃²xC₄.D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	72		C12.75(C3xD4)	288,318
C₁₂.₇₆(C₃xD₄) = C₃²xC₄.₁₀D₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144		C12.76(C3xD4)	288,319
C₁₂.₇₇(C₃xD₄) = C₃²xD₄:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144		C12.77(C3xD4)	288,320
C₁₂.₇₈(C₃xD₄) = C₃²xQ₈:C₄	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	288		C12.78(C3xD4)	288,321
C₁₂.₇₉(C₃xD₄) = C₃²xC₂²:Q₈	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144		C12.79(C3xD4)	288,819
C₁₂.₈₀(C₃xD₄) = C₃²xC₈:C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	72		C12.80(C3xD4)	288,833
C₁₂.₈₁(C₃xD₄) = C₃²xC₈.C₂²	φ: C₃xD₄/C₂xC₆ → C₂ ⊆ Aut C₁₂	144		C12.81(C3xD4)	288,834
C₁₂.₈₂(C₃xD₄) = C₉xC₂²:C₈	central extension (φ=1)	144		C12.82(C3xD4)	288,48
C₁₂.₈₃(C₃xD₄) = C₉xC₄wrC₂	central extension (φ=1)	72	2	C12.83(C3xD4)	288,54
C₁₂.₈₄(C₃xD₄) = C₉xC₄:C₈	central extension (φ=1)	288		C12.84(C3xD4)	288,55
C₁₂.₈₅(C₃xD₄) = C₉xC₈.C₄	central extension (φ=1)	144	2	C12.85(C3xD4)	288,58
C₁₂.₈₆(C₃xD₄) = D₄xC₃₆	central extension (φ=1)	144		C12.86(C3xD4)	288,168
C₁₂.₈₇(C₃xD₄) = C₉xC₄oD₈	central extension (φ=1)	144	2	C12.87(C3xD4)	288,185
C₁₂.₈₈(C₃xD₄) = C₃²xC₂²:C₈	central extension (φ=1)	144		C12.88(C3xD4)	288,316
C₁₂.₈₉(C₃xD₄) = C₃²xC₄wrC₂	central extension (φ=1)	72		C12.89(C3xD4)	288,322
C₁₂.₉₀(C₃xD₄) = C₃²xC₄:C₈	central extension (φ=1)	288		C12.90(C3xD4)	288,323
C₁₂.₉₁(C₃xD₄) = C₃²xC₈.C₄	central extension (φ=1)	144		C12.91(C3xD4)	288,326
C₁₂.₉₂(C₃xD₄) = C₃²xC₄oD₈	central extension (φ=1)	144		C12.92(C3xD4)	288,832

Extensions 1→N→G→Q→1 with N=C12 and Q=C3xD4

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃xD₄