Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂xF₅

Direct product G=NxQ with N=C₁₂ and Q=C₂xF₅

		d	ρ	Label	ID
F₅xC₂xC₁₂		120		F5xC2xC12	480,1050

Semidirect products G=N:Q with N=C₁₂ and Q=C₂xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂:₁(C₂xF₅) = S₃xC₄:F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	60	8	C12:1(C2xF5)	480,996
C₁₂:₂(C₂xF₅) = D₆₀:₃C₄	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	60	8+	C12:2(C2xF5)	480,997
C₁₂:₃(C₂xF₅) = D₄xC₃:F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	60	8	C12:3(C2xF5)	480,1067
C₁₂:₄(C₂xF₅) = F₅xD₁₂	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	60	8+	C12:4(C2xF5)	480,995
C₁₂:₅(C₂xF₅) = C₄xS₃xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	60	8	C12:5(C2xF5)	480,994
C₁₂:₆(C₂xF₅) = C₃xD₄xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	60	8	C12:6(C2xF5)	480,1054
C₁₂:₇(C₂xF₅) = C₂xC₆₀:C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120		C12:7(C2xF5)	480,1064
C₁₂:₈(C₂xF₅) = C₂xC₄xC₃:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120		C12:8(C2xF5)	480,1063
C₁₂:₉(C₂xF₅) = C₆xC₄:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120		C12:9(C2xF5)	480,1051

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₂xF₅) = D₆₀:C₄	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8+	C12.1(C2xF5)	480,227
C₁₂.₂(C₂xF₅) = Dic₆:F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8-	C12.2(C2xF5)	480,229
C₁₂.₃(C₂xF₅) = D₁₂:₄F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8-	C12.3(C2xF5)	480,231
C₁₂.₄(C₂xF₅) = D₆₀:₂C₄	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8+	C12.4(C2xF5)	480,233
C₁₂.₅(C₂xF₅) = Dic₅.Dic₆	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.5(C2xF5)	480,235
C₁₂.₆(C₂xF₅) = Dic₅.₄Dic₆	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.6(C2xF5)	480,236
C₁₂.₇(C₂xF₅) = D₁₀.Dic₆	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	240	8	C12.7(C2xF5)	480,237
C₁₂.₈(C₂xF₅) = D₁₀.₂Dic₆	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	240	8	C12.8(C2xF5)	480,238
C₁₂.₉(C₂xF₅) = D₂₀:Dic₃	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.9(C2xF5)	480,312
C₁₂.₁₀(C₂xF₅) = Dic₁₀:Dic₃	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.10(C2xF5)	480,313
C₁₂.₁₁(C₂xF₅) = Dic₁₀:₂Dic₃	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.11(C2xF5)	480,314
C₁₂.₁₂(C₂xF₅) = D₂₀:₂Dic₃	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.12(C2xF5)	480,315
C₁₂.₁₃(C₂xF₅) = C₄:F₅:₃S₃	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.13(C2xF5)	480,983
C₁₂.₁₄(C₂xF₅) = Dic₆:₅F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8-	C12.14(C2xF5)	480,984
C₁₂.₁₅(C₂xF₅) = S₃xC₄.F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.15(C2xF5)	480,988
C₁₂.₁₆(C₂xF₅) = D₁₂.F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	240	8-	C12.16(C2xF5)	480,989
C₁₂.₁₇(C₂xF₅) = D₁₅:M₄(2)	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.17(C2xF5)	480,991
C₁₂.₁₈(C₂xF₅) = Dic₆.F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	240	8+	C12.18(C2xF5)	480,992
C₁₂.₁₉(C₂xF₅) = Dic₁₀.Dic₃	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	240	8	C12.19(C2xF5)	480,1066
C₁₂.₂₀(C₂xF₅) = D₂₀.Dic₃	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	240	8	C12.20(C2xF5)	480,1068
C₁₂.₂₁(C₂xF₅) = Q₈xC₃:F₅	φ: C₂xF₅/D₅ → C₂² ⊆ Aut C₁₂	120	8	C12.21(C2xF5)	480,1069
C₁₂.₂₂(C₂xF₅) = D₁₂:F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8+	C12.22(C2xF5)	480,228
C₁₂.₂₃(C₂xF₅) = Dic₃₀:C₄	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8-	C12.23(C2xF5)	480,230
C₁₂.₂₄(C₂xF₅) = D₁₂:₂F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8-	C12.24(C2xF5)	480,232
C₁₂.₂₅(C₂xF₅) = D₆₀:₅C₄	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8+	C12.25(C2xF5)	480,234
C₁₂.₂₆(C₂xF₅) = F₅xDic₆	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8-	C12.26(C2xF5)	480,982
C₁₂.₂₇(C₂xF₅) = D₁₂.₂F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	240	8-	C12.27(C2xF5)	480,987
C₁₂.₂₈(C₂xF₅) = D₆₀.C₄	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	240	8+	C12.28(C2xF5)	480,990
C₁₂.₂₉(C₂xF₅) = F₅xC₃:C₈	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.29(C2xF5)	480,223
C₁₂.₃₀(C₂xF₅) = C₃₀.C₄²	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.30(C2xF5)	480,224
C₁₂.₃₁(C₂xF₅) = C₃₀.₃C₄²	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.31(C2xF5)	480,225
C₁₂.₃₂(C₂xF₅) = C₃₀.₄C₄²	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.32(C2xF5)	480,226
C₁₂.₃₃(C₂xF₅) = S₃xC₅:C₁₆	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	240	8	C12.33(C2xF5)	480,239
C₁₂.₃₄(C₂xF₅) = D₁₅:C₁₆	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	240	8	C12.34(C2xF5)	480,240
C₁₂.₃₅(C₂xF₅) = C₁₅:M₅(2)	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	240	8	C12.35(C2xF5)	480,241
C₁₂.₃₆(C₂xF₅) = D₃₀.C₈	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	240	8	C12.36(C2xF5)	480,242
C₁₂.₃₇(C₂xF₅) = (C₄xS₃):F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.37(C2xF5)	480,985
C₁₂.₃₈(C₂xF₅) = S₃xD₅:C₈	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.38(C2xF5)	480,986
C₁₂.₃₉(C₂xF₅) = C₅:C₈:D₆	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.39(C2xF5)	480,993
C₁₂.₄₀(C₂xF₅) = C₃xD₂₀:C₄	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.40(C2xF5)	480,287
C₁₂.₄₁(C₂xF₅) = C₃xD₄:F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.41(C2xF5)	480,288
C₁₂.₄₂(C₂xF₅) = C₃xQ₈:F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.42(C2xF5)	480,289
C₁₂.₄₃(C₂xF₅) = C₃xQ₈:₂F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.43(C2xF5)	480,290
C₁₂.₄₄(C₂xF₅) = C₃xD₄.F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	240	8	C12.44(C2xF5)	480,1053
C₁₂.₄₅(C₂xF₅) = C₃xQ₈.F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	240	8	C12.45(C2xF5)	480,1055
C₁₂.₄₆(C₂xF₅) = C₃xQ₈xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Aut C₁₂	120	8	C12.46(C2xF5)	480,1056
C₁₂.₄₇(C₂xF₅) = C₁₂₀:C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.47(C2xF5)	480,298
C₁₂.₄₈(C₂xF₅) = D₅.D₂₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.48(C2xF5)	480,299
C₁₂.₄₉(C₂xF₅) = C₄₀.Dic₃	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.49(C2xF5)	480,300
C₁₂.₅₀(C₂xF₅) = C₂₄.₁F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.50(C2xF5)	480,301
C₁₂.₅₁(C₂xF₅) = C₂xC₁₂.F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.51(C2xF5)	480,1061
C₁₂.₅₂(C₂xF₅) = C₆₀.₅₉(C₂xC₄)	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.52(C2xF5)	480,1062
C₁₂.₅₃(C₂xF₅) = (C₂xC₁₂):₆F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.53(C2xF5)	480,1065
C₁₂.₅₄(C₂xF₅) = C₂₄.F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.54(C2xF5)	480,294
C₁₂.₅₅(C₂xF₅) = C₁₂₀.C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.55(C2xF5)	480,295
C₁₂.₅₆(C₂xF₅) = C₈xC₃:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.56(C2xF5)	480,296
C₁₂.₅₇(C₂xF₅) = C₂₄:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.57(C2xF5)	480,297
C₁₂.₅₈(C₂xF₅) = C₂xC₁₅:C₁₆	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	480		C12.58(C2xF5)	480,302
C₁₂.₅₉(C₂xF₅) = C₆₀.C₈	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.59(C2xF5)	480,303
C₁₂.₆₀(C₂xF₅) = C₂xC₆₀.C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.60(C2xF5)	480,1060
C₁₂.₆₁(C₂xF₅) = C₃xC₄₀:C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.61(C2xF5)	480,273
C₁₂.₆₂(C₂xF₅) = C₃xD₅.D₈	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	120	4	C12.62(C2xF5)	480,274
C₁₂.₆₃(C₂xF₅) = C₃xC₄₀.C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.63(C2xF5)	480,275
C₁₂.₆₄(C₂xF₅) = C₃xD₁₀.Q₈	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240	4	C12.64(C2xF5)	480,276
C₁₂.₆₅(C₂xF₅) = C₆xC₄.F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Aut C₁₂	240		C12.65(C2xF5)	480,1048
C₁₂.₆₆(C₂xF₅) = C₃xD₅:C₁₆	central extension (φ=1)	240	4	C12.66(C2xF5)	480,269
C₁₂.₆₇(C₂xF₅) = C₃xC₈.F₅	central extension (φ=1)	240	4	C12.67(C2xF5)	480,270
C₁₂.₆₈(C₂xF₅) = F₅xC₂₄	central extension (φ=1)	120	4	C12.68(C2xF5)	480,271
C₁₂.₆₉(C₂xF₅) = C₃xC₈:F₅	central extension (φ=1)	120	4	C12.69(C2xF5)	480,272
C₁₂.₇₀(C₂xF₅) = C₆xC₅:C₁₆	central extension (φ=1)	480		C12.70(C2xF5)	480,277
C₁₂.₇₁(C₂xF₅) = C₃xC₂₀.C₈	central extension (φ=1)	240	4	C12.71(C2xF5)	480,278
C₁₂.₇₂(C₂xF₅) = C₆xD₅:C₈	central extension (φ=1)	240		C12.72(C2xF5)	480,1047
C₁₂.₇₃(C₂xF₅) = C₃xD₅:M₄(2)	central extension (φ=1)	120	4	C12.73(C2xF5)	480,1049
C₁₂.₇₄(C₂xF₅) = C₃xD₁₀.C₂³	central extension (φ=1)	120	4	C12.74(C2xF5)	480,1052

Extensions 1→N→G→Q→1 with N=C12 and Q=C2xF5

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂xF₅