Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₄xD₅

Direct product G=NxQ with N=C₆ and Q=C₂xC₄xD₅

		d	ρ	Label	ID
D₅xC₂²xC₁₂		240		D5xC2^2xC12	480,1136

Semidirect products G=N:Q with N=C₆ and Q=C₂xC₄xD₅

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(C₂xC₄xD₅) = S₃xC₂xC₄xD₅	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	120	C6:1(C2xC4xD5)	480,1086
C₆:₂(C₂xC₄xD₅) = C₂²xD₃₀.C₂	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240	C6:2(C2xC4xD5)	480,1117
C₆:₃(C₂xC₄xD₅) = C₂²xC₄xD₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	C6:3(C2xC4xD5)	480,1166
C₆:₄(C₂xC₄xD₅) = C₂²xD₅xDic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240	C6:4(C2xC4xD5)	480,1112

Non-split extensions G=N.Q with N=C₆ and Q=C₂xC₄xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xC₄xD₅) = S₃xC₈xD₅	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	120	4	C6.1(C2xC4xD5)	480,319
C₆.₂(C₂xC₄xD₅) = D₅xC₈:S₃	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	120	4	C6.2(C2xC4xD5)	480,320
C₆.₃(C₂xC₄xD₅) = S₃xC₈:D₅	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	120	4	C6.3(C2xC4xD5)	480,321
C₆.₄(C₂xC₄xD₅) = C₄₀:D₆	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	120	4	C6.4(C2xC4xD5)	480,322
C₆.₅(C₂xC₄xD₅) = C₄₀.₅₄D₆	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240	4	C6.5(C2xC4xD5)	480,341
C₆.₆(C₂xC₄xD₅) = C₄₀.₃₄D₆	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240	4	C6.6(C2xC4xD5)	480,342
C₆.₇(C₂xC₄xD₅) = C₄₀.₅₅D₆	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240	4	C6.7(C2xC4xD5)	480,343
C₆.₈(C₂xC₄xD₅) = C₄₀.₃₅D₆	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240	4	C6.8(C2xC4xD5)	480,344
C₆.₉(C₂xC₄xD₅) = Dic₅:₅Dic₆	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	480		C6.9(C2xC4xD5)	480,399
C₆.₁₀(C₂xC₄xD₅) = Dic₃:₅Dic₁₀	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	480		C6.10(C2xC4xD5)	480,400
C₆.₁₁(C₂xC₄xD₅) = Dic₁₅:₅Q₈	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	480		C6.11(C2xC4xD5)	480,401
C₆.₁₂(C₂xC₄xD₅) = D₅xDic₃:C₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.12(C2xC4xD5)	480,468
C₆.₁₃(C₂xC₄xD₅) = (D₅xDic₃):C₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.13(C2xC4xD5)	480,469
C₆.₁₄(C₂xC₄xD₅) = D₁₀.₁₉(C₄xS₃)	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.14(C2xC4xD5)	480,470
C₆.₁₅(C₂xC₄xD₅) = Dic₃:₄D₂₀	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.15(C2xC4xD5)	480,471
C₆.₁₆(C₂xC₄xD₅) = Dic₁₅:₁₃D₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.16(C2xC4xD5)	480,472
C₆.₁₇(C₂xC₄xD₅) = C₄xS₃xDic₅	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.17(C2xC4xD5)	480,473
C₆.₁₈(C₂xC₄xD₅) = D₆.(C₄xD₅)	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.18(C2xC4xD5)	480,474
C₆.₁₉(C₂xC₄xD₅) = S₃xC₁₀.D₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.19(C2xC4xD5)	480,475
C₆.₂₀(C₂xC₄xD₅) = (S₃xDic₅):C₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.20(C2xC4xD5)	480,476
C₆.₂₁(C₂xC₄xD₅) = D₃₀.C₂:C₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.21(C2xC4xD5)	480,478
C₆.₂₂(C₂xC₄xD₅) = D₃₀.₂₃(C₂xC₄)	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.22(C2xC4xD5)	480,479
C₆.₂₃(C₂xC₄xD₅) = D₃₀.Q₈	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.23(C2xC4xD5)	480,480
C₆.₂₄(C₂xC₄xD₅) = Dic₅:₄D₁₂	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.24(C2xC4xD5)	480,481
C₆.₂₅(C₂xC₄xD₅) = Dic₁₅:₁₄D₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.25(C2xC4xD5)	480,482
C₆.₂₆(C₂xC₄xD₅) = C₄xC₁₅:D₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.26(C2xC4xD5)	480,515
C₆.₂₇(C₂xC₄xD₅) = D₆:(C₄xD₅)	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.27(C2xC4xD5)	480,516
C₆.₂₈(C₂xC₄xD₅) = C₁₅:₁₇(C₄xD₄)	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.28(C2xC4xD5)	480,517
C₆.₂₉(C₂xC₄xD₅) = Dic₁₅:₉D₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.29(C2xC4xD5)	480,518
C₆.₃₀(C₂xC₄xD₅) = C₄xC₃:D₂₀	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.30(C2xC4xD5)	480,519
C₆.₃₁(C₂xC₄xD₅) = C₁₅:₂₀(C₄xD₄)	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.31(C2xC4xD5)	480,520
C₆.₃₂(C₂xC₄xD₅) = C₄xC₅:D₁₂	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.32(C2xC4xD5)	480,521
C₆.₃₃(C₂xC₄xD₅) = C₁₅:₂₂(C₄xD₄)	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	240		C6.33(C2xC4xD5)	480,522
C₆.₃₄(C₂xC₄xD₅) = C₄xC₁₅:Q₈	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	480		C6.34(C2xC4xD5)	480,543
C₆.₃₅(C₂xC₄xD₅) = D₅xD₆:C₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	120		C6.35(C2xC4xD5)	480,547
C₆.₃₆(C₂xC₄xD₅) = S₃xD₁₀:C₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	120		C6.36(C2xC4xD5)	480,548
C₆.₃₇(C₂xC₄xD₅) = D₃₀.₂₇D₄	φ: C₂xC₄xD₅/C₄xD₅ → C₂ ⊆ Aut C₆	120		C6.37(C2xC4xD5)	480,549
C₆.₃₈(C₂xC₄xD₅) = C₂xD₁₅:₂C₈	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.38(C2xC4xD5)	480,365
C₆.₃₉(C₂xC₄xD₅) = D₆₀.₅C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240	4	C6.39(C2xC4xD5)	480,366
C₆.₄₀(C₂xC₄xD₅) = D₆₀.₄C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240	4	C6.40(C2xC4xD5)	480,367
C₆.₄₁(C₂xC₄xD₅) = D₁₅:₄M₄(2)	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	120	4	C6.41(C2xC4xD5)	480,368
C₆.₄₂(C₂xC₄xD₅) = C₂xD₃₀.₅C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.42(C2xC4xD5)	480,371
C₆.₄₃(C₂xC₄xD₅) = Dic₃₀:₁₇C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	480		C6.43(C2xC4xD5)	480,409
C₆.₄₄(C₂xC₄xD₅) = Dic₃₀:₁₄C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	480		C6.44(C2xC4xD5)	480,416
C₆.₄₅(C₂xC₄xD₅) = (C₄xD₁₅):₈C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.45(C2xC4xD5)	480,423
C₆.₄₆(C₂xC₄xD₅) = (C₄xD₁₅):₁₀C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.46(C2xC4xD5)	480,462
C₆.₄₇(C₂xC₄xD₅) = C₄xD₃₀.C₂	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.47(C2xC4xD5)	480,477
C₆.₄₈(C₂xC₄xD₅) = D₆₀:₁₇C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.48(C2xC4xD5)	480,494
C₆.₄₉(C₂xC₄xD₅) = D₆₀:₁₄C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.49(C2xC4xD5)	480,504
C₆.₅₀(C₂xC₄xD₅) = D₃₀.₂Q₈	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.50(C2xC4xD5)	480,513
C₆.₅₁(C₂xC₄xD₅) = C₂³.₄₈(S₃xD₅)	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.51(C2xC4xD5)	480,608
C₆.₅₂(C₂xC₄xD₅) = C₂xD₃₀:₄C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.52(C2xC4xD5)	480,616
C₆.₅₃(C₂xC₄xD₅) = C₂xDic₁₅:₅C₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	480		C6.53(C2xC4xD5)	480,620
C₆.₅₄(C₂xC₄xD₅) = C₁₅:₂₆(C₄xD₄)	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.54(C2xC4xD5)	480,628
C₆.₅₅(C₂xC₄xD₅) = C₁₅:₂₈(C₄xD₄)	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	240		C6.55(C2xC4xD5)	480,632
C₆.₅₆(C₂xC₄xD₅) = D₃₀.₄₅D₄	φ: C₂xC₄xD₅/C₂xDic₅ → C₂ ⊆ Aut C₆	120		C6.56(C2xC4xD5)	480,637
C₆.₅₇(C₂xC₄xD₅) = C₄xDic₃₀	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.57(C2xC4xD5)	480,833
C₆.₅₈(C₂xC₄xD₅) = C₄²xD₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.58(C2xC4xD5)	480,836
C₆.₅₉(C₂xC₄xD₅) = C₄²:₂D₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.59(C2xC4xD5)	480,837
C₆.₆₀(C₂xC₄xD₅) = C₄xD₆₀	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.60(C2xC4xD5)	480,838
C₆.₆₁(C₂xC₄xD₅) = C₂³.₁₅D₃₀	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.61(C2xC4xD5)	480,842
C₆.₆₂(C₂xC₄xD₅) = C₂²:C₄xD₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	120		C6.62(C2xC4xD5)	480,845
C₆.₆₃(C₂xC₄xD₅) = Dic₁₅:₁₉D₄	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.63(C2xC4xD5)	480,846
C₆.₆₄(C₂xC₄xD₅) = Dic₁₅:₁₀Q₈	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.64(C2xC4xD5)	480,852
C₆.₆₅(C₂xC₄xD₅) = C₄:C₄xD₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.65(C2xC4xD5)	480,856
C₆.₆₆(C₂xC₄xD₅) = C₄:C₄:₇D₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.66(C2xC4xD5)	480,857
C₆.₆₇(C₂xC₄xD₅) = D₆₀:₁₁C₄	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.67(C2xC4xD5)	480,858
C₆.₆₈(C₂xC₄xD₅) = C₂xC₈xD₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.68(C2xC4xD5)	480,864
C₆.₆₉(C₂xC₄xD₅) = C₂xC₄₀:S₃	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.69(C2xC4xD5)	480,865
C₆.₇₀(C₂xC₄xD₅) = D₆₀.₆C₄	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	2	C6.70(C2xC4xD5)	480,866
C₆.₇₁(C₂xC₄xD₅) = M₄(2)xD₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	120	4	C6.71(C2xC4xD5)	480,871
C₆.₇₂(C₂xC₄xD₅) = D₆₀.₃C₄	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240	4	C6.72(C2xC4xD5)	480,872
C₆.₇₃(C₂xC₄xD₅) = C₂xC₄xDic₁₅	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.73(C2xC4xD5)	480,887
C₆.₇₄(C₂xC₄xD₅) = C₂xC₃₀.₄Q₈	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	480		C6.74(C2xC4xD5)	480,888
C₆.₇₅(C₂xC₄xD₅) = C₂xD₃₀:₃C₄	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.75(C2xC4xD5)	480,892
C₆.₇₆(C₂xC₄xD₅) = C₄xC₁₅:₇D₄	φ: C₂xC₄xD₅/C₂xC₂₀ → C₂ ⊆ Aut C₆	240		C6.76(C2xC4xD5)	480,893
C₆.₇₇(C₂xC₄xD₅) = C₂xD₅xC₃:C₈	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.77(C2xC4xD5)	480,357
C₆.₇₈(C₂xC₄xD₅) = D₅xC₄.Dic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	120	4	C6.78(C2xC4xD5)	480,358
C₆.₇₉(C₂xC₄xD₅) = D₂₀.₃Dic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240	4	C6.79(C2xC4xD5)	480,359
C₆.₈₀(C₂xC₄xD₅) = D₂₀.₂Dic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240	4	C6.80(C2xC4xD5)	480,360
C₆.₈₁(C₂xC₄xD₅) = C₂xC₂₀.₃₂D₆	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.81(C2xC4xD5)	480,369
C₆.₈₂(C₂xC₄xD₅) = Dic₃xDic₁₀	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	480		C6.82(C2xC4xD5)	480,406
C₆.₈₃(C₂xC₄xD₅) = Dic₁₅:₆Q₈	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	480		C6.83(C2xC4xD5)	480,407
C₆.₈₄(C₂xC₄xD₅) = (D₅xC₁₂):C₄	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.84(C2xC4xD5)	480,433
C₆.₈₅(C₂xC₄xD₅) = (C₄xD₅):Dic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.85(C2xC4xD5)	480,434
C₆.₈₆(C₂xC₄xD₅) = C₄xD₅xDic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.86(C2xC4xD5)	480,467
C₆.₈₇(C₂xC₄xD₅) = D₅xC₄:Dic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.87(C2xC4xD5)	480,488
C₆.₈₈(C₂xC₄xD₅) = Dic₃xD₂₀	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.88(C2xC4xD5)	480,501
C₆.₈₉(C₂xC₄xD₅) = D₂₀:₈Dic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.89(C2xC4xD5)	480,510
C₆.₉₀(C₂xC₄xD₅) = C₂xDic₃xDic₅	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	480		C6.90(C2xC4xD5)	480,603
C₆.₉₁(C₂xC₄xD₅) = (C₆xDic₅):₇C₄	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.91(C2xC4xD5)	480,604
C₆.₉₂(C₂xC₄xD₅) = C₂xD₁₀:Dic₃	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.92(C2xC4xD5)	480,611
C₆.₉₃(C₂xC₄xD₅) = C₂xC₃₀.Q₈	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	480		C6.93(C2xC4xD5)	480,617
C₆.₉₄(C₂xC₄xD₅) = D₅xC₆.D₄	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	120		C6.94(C2xC4xD5)	480,623
C₆.₉₅(C₂xC₄xD₅) = Dic₃xC₅:D₄	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.95(C2xC4xD5)	480,629
C₆.₉₆(C₂xC₄xD₅) = Dic₁₅:₁₆D₄	φ: C₂xC₄xD₅/C₂²xD₅ → C₂ ⊆ Aut C₆	240		C6.96(C2xC4xD5)	480,635
C₆.₉₇(C₂xC₄xD₅) = C₁₂xDic₁₀	central extension (φ=1)	480		C6.97(C2xC4xD5)	480,661
C₆.₉₈(C₂xC₄xD₅) = D₅xC₄xC₁₂	central extension (φ=1)	240		C6.98(C2xC4xD5)	480,664
C₆.₉₉(C₂xC₄xD₅) = C₃xC₄²:D₅	central extension (φ=1)	240		C6.99(C2xC4xD5)	480,665
C₆.₁₀₀(C₂xC₄xD₅) = C₁₂xD₂₀	central extension (φ=1)	240		C6.100(C2xC4xD5)	480,666
C₆.₁₀₁(C₂xC₄xD₅) = C₃xC₂³.₁₁D₁₀	central extension (φ=1)	240		C6.101(C2xC4xD5)	480,670
C₆.₁₀₂(C₂xC₄xD₅) = C₃xD₅xC₂²:C₄	central extension (φ=1)	120		C6.102(C2xC4xD5)	480,673
C₆.₁₀₃(C₂xC₄xD₅) = C₃xDic₅:₄D₄	central extension (φ=1)	240		C6.103(C2xC4xD5)	480,674
C₆.₁₀₄(C₂xC₄xD₅) = C₃xDic₅:₃Q₈	central extension (φ=1)	480		C6.104(C2xC4xD5)	480,680
C₆.₁₀₅(C₂xC₄xD₅) = C₃xD₅xC₄:C₄	central extension (φ=1)	240		C6.105(C2xC4xD5)	480,684
C₆.₁₀₆(C₂xC₄xD₅) = C₃xC₄:C₄:₇D₅	central extension (φ=1)	240		C6.106(C2xC4xD5)	480,685
C₆.₁₀₇(C₂xC₄xD₅) = C₃xD₂₀:₈C₄	central extension (φ=1)	240		C6.107(C2xC4xD5)	480,686
C₆.₁₀₈(C₂xC₄xD₅) = D₅xC₂xC₂₄	central extension (φ=1)	240		C6.108(C2xC4xD5)	480,692
C₆.₁₀₉(C₂xC₄xD₅) = C₆xC₈:D₅	central extension (φ=1)	240		C6.109(C2xC4xD5)	480,693
C₆.₁₁₀(C₂xC₄xD₅) = C₃xD₂₀.₃C₄	central extension (φ=1)	240	2	C6.110(C2xC4xD5)	480,694
C₆.₁₁₁(C₂xC₄xD₅) = C₃xD₅xM₄(2)	central extension (φ=1)	120	4	C6.111(C2xC4xD5)	480,699
C₆.₁₁₂(C₂xC₄xD₅) = C₃xD₂₀.₂C₄	central extension (φ=1)	240	4	C6.112(C2xC4xD5)	480,700
C₆.₁₁₃(C₂xC₄xD₅) = Dic₅xC₂xC₁₂	central extension (φ=1)	480		C6.113(C2xC4xD5)	480,715
C₆.₁₁₄(C₂xC₄xD₅) = C₆xC₁₀.D₄	central extension (φ=1)	480		C6.114(C2xC4xD5)	480,716
C₆.₁₁₅(C₂xC₄xD₅) = C₆xD₁₀:C₄	central extension (φ=1)	240		C6.115(C2xC4xD5)	480,720
C₆.₁₁₆(C₂xC₄xD₅) = C₁₂xC₅:D₄	central extension (φ=1)	240		C6.116(C2xC4xD5)	480,721

Extensions 1→N→G→Q→1 with N=C6 and Q=C2xC4xD5

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₄xD₅