Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄×D₅

Direct product G=N×Q with N=C₆ and Q=D₄×D₅

		d	ρ	Label	ID
C₆×D₄×D₅		120		C6xD4xD5	480,1139

Semidirect products G=N:Q with N=C₆ and Q=D₄×D₅

extension	φ:Q→Aut N	d	Label	ID
C₆⋊₁(D₄×D₅) = C₂×D₅×D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	120	C6:1(D4xD5)	480,1087
C₆⋊₂(D₄×D₅) = C₂×C₂₀⋊D₆	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	120	C6:2(D4xD5)	480,1089
C₆⋊₃(D₄×D₅) = C₂×D₁₀⋊D₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120	C6:3(D4xD5)	480,1124
C₆⋊₄(D₄×D₅) = C₂×D₄×D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	120	C6:4(D4xD5)	480,1169
C₆⋊₅(D₄×D₅) = C₂×D₅×C₃⋊D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120	C6:5(D4xD5)	480,1122

Non-split extensions G=N.Q with N=C₆ and Q=D₄×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(D₄×D₅) = D₅×C₂₄⋊C₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	120	4	C6.1(D4xD5)	480,323
C₆.₂(D₄×D₅) = D₅×D₂₄	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	120	4+	C6.2(D4xD5)	480,324
C₆.₃(D₄×D₅) = C₂₄⋊D₁₀	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	120	4+	C6.3(D4xD5)	480,325
C₆.₄(D₄×D₅) = D₂₄⋊D₅	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	120	4	C6.4(D4xD5)	480,326
C₆.₅(D₄×D₅) = D₅×Dic₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	4-	C6.5(D4xD5)	480,335
C₆.₆(D₄×D₅) = Dic₆₀⋊C₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	4-	C6.6(D4xD5)	480,336
C₆.₇(D₄×D₅) = C₂₄.₂D₁₀	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	4	C6.7(D4xD5)	480,337
C₆.₈(D₄×D₅) = C₄₀.₃₁D₆	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	4	C6.8(D4xD5)	480,345
C₆.₉(D₄×D₅) = D₂₄⋊₇D₅	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	4-	C6.9(D4xD5)	480,346
C₆.₁₀(D₄×D₅) = D₁₂₀⋊C₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240	4+	C6.10(D4xD5)	480,347
C₆.₁₁(D₄×D₅) = Dic₅.₈D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.11(D4xD5)	480,426
C₆.₁₂(D₄×D₅) = Dic₅⋊₄D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.12(D4xD5)	480,481
C₆.₁₃(D₄×D₅) = D₅×C₄⋊Dic₃	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.13(D4xD5)	480,488
C₆.₁₄(D₄×D₅) = D₁₀.₁₆D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.14(D4xD5)	480,489
C₆.₁₅(D₄×D₅) = D₁₀.₁₇D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.15(D4xD5)	480,490
C₆.₁₆(D₄×D₅) = Dic₅×D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.16(D4xD5)	480,491
C₆.₁₇(D₄×D₅) = Dic₅⋊D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.17(D4xD5)	480,492
C₆.₁₈(D₄×D₅) = D₆⋊₂Dic₁₀	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.18(D4xD5)	480,493
C₆.₁₉(D₄×D₅) = D₆₀⋊₁₇C₄	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.19(D4xD5)	480,494
C₆.₂₀(D₄×D₅) = D₃₀⋊₂Q₈	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.20(D4xD5)	480,495
C₆.₂₁(D₄×D₅) = D₁₀⋊D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.21(D4xD5)	480,524
C₆.₂₂(D₄×D₅) = C₆₀⋊D₄	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.22(D4xD5)	480,525
C₆.₂₃(D₄×D₅) = C₁₂⋊₇D₂₀	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.23(D4xD5)	480,526
C₆.₂₄(D₄×D₅) = C₂₀⋊D₁₂	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	240		C6.24(D4xD5)	480,527
C₆.₂₅(D₄×D₅) = C₆₀⋊Q₈	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	480		C6.25(D4xD5)	480,544
C₆.₂₆(D₄×D₅) = D₃₀⋊₄D₄	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	120		C6.26(D4xD5)	480,551
C₆.₂₇(D₄×D₅) = D₃₀⋊₅D₄	φ: D₄×D₅/C₄×D₅ → C₂ ⊆ Aut C₆	120		C6.27(D4xD5)	480,552
C₆.₂₈(D₄×D₅) = C₄₀⋊₁₄D₆	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	120	4	C6.28(D4xD5)	480,331
C₆.₂₉(D₄×D₅) = C₄₀⋊₅D₆	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	120	4	C6.29(D4xD5)	480,332
C₆.₃₀(D₄×D₅) = D₂₄⋊₆D₅	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	120	4	C6.30(D4xD5)	480,333
C₆.₃₁(D₄×D₅) = C₄₀⋊₈D₆	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	120	4	C6.31(D4xD5)	480,334
C₆.₃₂(D₄×D₅) = Dic₁₀.D₆	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240	4	C6.32(D4xD5)	480,340
C₆.₃₃(D₄×D₅) = Dic₆.D₁₀	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240	4	C6.33(D4xD5)	480,352
C₆.₃₄(D₄×D₅) = D₄₀⋊₅S₃	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240	4	C6.34(D4xD5)	480,353
C₆.₃₅(D₄×D₅) = D₃₀.₃D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240	4	C6.35(D4xD5)	480,354
C₆.₃₆(D₄×D₅) = D₂₄⋊₅D₅	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240	4	C6.36(D4xD5)	480,355
C₆.₃₇(D₄×D₅) = D₃₀.₄D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240	4	C6.37(D4xD5)	480,356
C₆.₃₈(D₄×D₅) = D₃₀.D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.38(D4xD5)	480,432
C₆.₃₉(D₄×D₅) = Dic₁₅.D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.39(D4xD5)	480,506
C₆.₄₀(D₄×D₅) = D₂₀⋊₈Dic₃	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.40(D4xD5)	480,510
C₆.₄₁(D₄×D₅) = Dic₁₅⋊₈D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.41(D4xD5)	480,511
C₆.₄₂(D₄×D₅) = D₆⋊₄Dic₁₀	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.42(D4xD5)	480,512
C₆.₄₃(D₄×D₅) = D₃₀.₂Q₈	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.43(D4xD5)	480,513
C₆.₄₄(D₄×D₅) = D₃₀.₇D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.44(D4xD5)	480,514
C₆.₄₅(D₄×D₅) = Dic₁₅⋊₉D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.45(D4xD5)	480,518
C₆.₄₆(D₄×D₅) = Dic₁₅⋊₂D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.46(D4xD5)	480,529
C₆.₄₇(D₄×D₅) = C₆₀⋊₁₀D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.47(D4xD5)	480,539
C₆.₄₈(D₄×D₅) = Dic₁₅.₃₁D₄	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.48(D4xD5)	480,540
C₆.₄₉(D₄×D₅) = C₁₂⋊₂D₂₀	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.49(D4xD5)	480,541
C₆.₅₀(D₄×D₅) = C₂₀⋊₂D₁₂	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	240		C6.50(D4xD5)	480,542
C₆.₅₁(D₄×D₅) = C₂₀⋊Dic₆	φ: D₄×D₅/D₂₀ → C₂ ⊆ Aut C₆	480		C6.51(D4xD5)	480,546
C₆.₅₂(D₄×D₅) = Dic₃⋊Dic₁₀	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	480		C6.52(D4xD5)	480,404
C₆.₅₃(D₄×D₅) = D₃₀.₃₄D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.53(D4xD5)	480,430
C₆.₅₄(D₄×D₅) = D₃₀.₃₅D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.54(D4xD5)	480,431
C₆.₅₅(D₄×D₅) = D₃₀⋊₈Q₈	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.55(D4xD5)	480,453
C₆.₅₆(D₄×D₅) = Dic₁₅⋊₁₃D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.56(D4xD5)	480,472
C₆.₅₇(D₄×D₅) = D₃₀.Q₈	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.57(D4xD5)	480,480
C₆.₅₈(D₄×D₅) = Dic₁₅⋊₁₄D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.58(D4xD5)	480,482
C₆.₅₉(D₄×D₅) = D₃₀⋊D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.59(D4xD5)	480,496
C₆.₆₀(D₄×D₅) = D₁₀⋊₄Dic₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.60(D4xD5)	480,507
C₆.₆₁(D₄×D₅) = D₆⋊₃Dic₁₀	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.61(D4xD5)	480,508
C₆.₆₂(D₄×D₅) = D₃₀.₆D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.62(D4xD5)	480,509
C₆.₆₃(D₄×D₅) = D₃₀⋊₂D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.63(D4xD5)	480,535
C₆.₆₄(D₄×D₅) = D₃₀⋊₁₂D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.64(D4xD5)	480,537
C₆.₆₅(D₄×D₅) = Dic₁₅.₁₀D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.65(D4xD5)	480,538
C₆.₆₆(D₄×D₅) = D₃₀.₂₇D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120		C6.66(D4xD5)	480,549
C₆.₆₇(D₄×D₅) = D₁₅⋊D₈	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120	8+	C6.67(D4xD5)	480,557
C₆.₆₈(D₄×D₅) = D₃₀.₈D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120	8-	C6.68(D4xD5)	480,558
C₆.₆₉(D₄×D₅) = Dic₁₀⋊D₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120	8+	C6.69(D4xD5)	480,563
C₆.₇₀(D₄×D₅) = D₃₀.₉D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8-	C6.70(D4xD5)	480,564
C₆.₇₁(D₄×D₅) = D₂₀.₁₀D₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8-	C6.71(D4xD5)	480,573
C₆.₇₂(D₄×D₅) = Dic₆⋊D₁₀	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120	8+	C6.72(D4xD5)	480,574
C₆.₇₃(D₄×D₅) = D₃₀.₁₁D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8-	C6.73(D4xD5)	480,575
C₆.₇₄(D₄×D₅) = D₁₂⋊₅D₁₀	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120	8+	C6.74(D4xD5)	480,576
C₆.₇₅(D₄×D₅) = D₁₅⋊SD₁₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120	8-	C6.75(D4xD5)	480,581
C₆.₇₆(D₄×D₅) = D₆₀⋊C₂²	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120	8+	C6.76(D4xD5)	480,582
C₆.₇₇(D₄×D₅) = D₁₅⋊Q₁₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8-	C6.77(D4xD5)	480,587
C₆.₇₈(D₄×D₅) = C₆₀.C₂³	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8+	C6.78(D4xD5)	480,588
C₆.₇₉(D₄×D₅) = D₂₀.₁₆D₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8+	C6.79(D4xD5)	480,597
C₆.₈₀(D₄×D₅) = D₂₀.₁₇D₆	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8-	C6.80(D4xD5)	480,598
C₆.₈₁(D₄×D₅) = D₁₂.D₁₀	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8+	C6.81(D4xD5)	480,599
C₆.₈₂(D₄×D₅) = D₃₀.₄₄D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240	8-	C6.82(D4xD5)	480,600
C₆.₈₃(D₄×D₅) = Dic₁₅.₁₉D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.83(D4xD5)	480,602
C₆.₈₄(D₄×D₅) = D₃₀⋊₆D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.84(D4xD5)	480,609
C₆.₈₅(D₄×D₅) = D₃₀⋊₇D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.85(D4xD5)	480,633
C₆.₈₆(D₄×D₅) = Dic₁₅⋊₄D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.86(D4xD5)	480,634
C₆.₈₇(D₄×D₅) = Dic₁₅⋊₁₆D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.87(D4xD5)	480,635
C₆.₈₈(D₄×D₅) = Dic₁₅⋊₁₇D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.88(D4xD5)	480,636
C₆.₈₉(D₄×D₅) = D₃₀.₄₅D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120		C6.89(D4xD5)	480,637
C₆.₉₀(D₄×D₅) = D₃₀.₁₆D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.90(D4xD5)	480,638
C₆.₉₁(D₄×D₅) = Dic₁₅⋊₁₈D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.91(D4xD5)	480,647
C₆.₉₂(D₄×D₅) = D₃₀⋊₁₈D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120		C6.92(D4xD5)	480,648
C₆.₉₃(D₄×D₅) = D₃₀⋊₁₉D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	120		C6.93(D4xD5)	480,649
C₆.₉₄(D₄×D₅) = Dic₁₅.₄₈D₄	φ: D₄×D₅/C₅⋊D₄ → C₂ ⊆ Aut C₆	240		C6.94(D4xD5)	480,652
C₆.₉₅(D₄×D₅) = C₂²⋊₂Dic₃₀	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.95(D4xD5)	480,843
C₆.₉₆(D₄×D₅) = C₂²⋊C₄×D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	120		C6.96(D4xD5)	480,845
C₆.₉₇(D₄×D₅) = Dic₁₅⋊₁₉D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.97(D4xD5)	480,846
C₆.₉₈(D₄×D₅) = D₃₀⋊₁₆D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	120		C6.98(D4xD5)	480,847
C₆.₉₉(D₄×D₅) = D₃₀.₂₈D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.99(D4xD5)	480,848
C₆.₁₀₀(D₄×D₅) = D₃₀⋊₉D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.100(D4xD5)	480,849
C₆.₁₀₁(D₄×D₅) = C₂³.₁₁D₃₀	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.101(D4xD5)	480,850
C₆.₁₀₂(D₄×D₅) = C₄⋊Dic₃₀	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	480		C6.102(D4xD5)	480,853
C₆.₁₀₃(D₄×D₅) = C₄⋊C₄×D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.103(D4xD5)	480,856
C₆.₁₀₄(D₄×D₅) = D₆₀⋊₁₁C₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.104(D4xD5)	480,858
C₆.₁₀₅(D₄×D₅) = D₃₀.₂₉D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.105(D4xD5)	480,859
C₆.₁₀₆(D₄×D₅) = C₄⋊D₆₀	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.106(D4xD5)	480,860
C₆.₁₀₇(D₄×D₅) = D₃₀⋊₅Q₈	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.107(D4xD5)	480,861
C₆.₁₀₈(D₄×D₅) = D₈×D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	120	4+	C6.108(D4xD5)	480,875
C₆.₁₀₉(D₄×D₅) = D₈⋊D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	120	4	C6.109(D4xD5)	480,876
C₆.₁₁₀(D₄×D₅) = D₈⋊₃D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240	4-	C6.110(D4xD5)	480,877
C₆.₁₁₁(D₄×D₅) = SD₁₆×D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	120	4	C6.111(D4xD5)	480,878
C₆.₁₁₂(D₄×D₅) = Q₈⋊₃D₃₀	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	120	4+	C6.112(D4xD5)	480,879
C₆.₁₁₃(D₄×D₅) = SD₁₆⋊D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240	4-	C6.113(D4xD5)	480,880
C₆.₁₁₄(D₄×D₅) = D₄.₅D₃₀	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240	4	C6.114(D4xD5)	480,881
C₆.₁₁₅(D₄×D₅) = Q₁₆×D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240	4-	C6.115(D4xD5)	480,882
C₆.₁₁₆(D₄×D₅) = Q₁₆⋊D₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240	4	C6.116(D4xD5)	480,883
C₆.₁₁₇(D₄×D₅) = D₁₂₀⋊₈C₂	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240	4+	C6.117(D4xD5)	480,884
C₆.₁₁₈(D₄×D₅) = D₄×Dic₁₅	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.118(D4xD5)	480,899
C₆.₁₁₉(D₄×D₅) = D₃₀⋊₁₇D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	120		C6.119(D4xD5)	480,902
C₆.₁₂₀(D₄×D₅) = C₆₀⋊₂D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.120(D4xD5)	480,903
C₆.₁₂₁(D₄×D₅) = Dic₁₅⋊₁₂D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.121(D4xD5)	480,904
C₆.₁₂₂(D₄×D₅) = C₆₀⋊₃D₄	φ: D₄×D₅/C₅×D₄ → C₂ ⊆ Aut C₆	240		C6.122(D4xD5)	480,905
C₆.₁₂₃(D₄×D₅) = (C₂×C₂₀).D₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.123(D4xD5)	480,402
C₆.₁₂₄(D₄×D₅) = Dic₁₅⋊₁Q₈	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	480		C6.124(D4xD5)	480,403
C₆.₁₂₅(D₄×D₅) = Dic₃⋊C₄⋊D₅	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.125(D4xD5)	480,424
C₆.₁₂₆(D₄×D₅) = D₁₀⋊Dic₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.126(D4xD5)	480,425
C₆.₁₂₇(D₄×D₅) = D₅×Dic₃⋊C₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.127(D4xD5)	480,468
C₆.₁₂₈(D₄×D₅) = (C₆×D₅).D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.128(D4xD5)	480,483
C₆.₁₂₉(D₄×D₅) = Dic₁₅⋊D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.129(D4xD5)	480,484
C₆.₁₃₀(D₄×D₅) = Dic₃⋊D₂₀	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.130(D4xD5)	480,485
C₆.₁₃₁(D₄×D₅) = D₆⋊₁Dic₁₀	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.131(D4xD5)	480,486
C₆.₁₃₂(D₄×D₅) = D₃₀⋊Q₈	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.132(D4xD5)	480,487
C₆.₁₃₃(D₄×D₅) = D₆⋊(C₄×D₅)	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.133(D4xD5)	480,516
C₆.₁₃₄(D₄×D₅) = C₁₅⋊₂₀(C₄×D₄)	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.134(D4xD5)	480,520
C₆.₁₃₅(D₄×D₅) = D₆⋊C₄⋊D₅	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.135(D4xD5)	480,523
C₆.₁₃₆(D₄×D₅) = D₅×D₆⋊C₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120		C6.136(D4xD5)	480,547
C₆.₁₃₇(D₄×D₅) = D₆⋊₄D₂₀	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120		C6.137(D4xD5)	480,550
C₆.₁₃₈(D₄×D₅) = D₅×D₄⋊S₃	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120	8+	C6.138(D4xD5)	480,553
C₆.₁₃₉(D₄×D₅) = Dic₁₀⋊₃D₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120	8+	C6.139(D4xD5)	480,554
C₆.₁₄₀(D₄×D₅) = D₅×D₄.S₃	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120	8-	C6.140(D4xD5)	480,559
C₆.₁₄₁(D₄×D₅) = C₆₀.₈C₂³	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8-	C6.141(D4xD5)	480,560
C₆.₁₄₂(D₄×D₅) = D₁₂⋊₁₀D₁₀	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120	8-	C6.142(D4xD5)	480,565
C₆.₁₄₃(D₄×D₅) = D₁₂.₂₄D₁₀	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8-	C6.143(D4xD5)	480,566
C₆.₁₄₄(D₄×D₅) = D₂₀.₉D₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120	8+	C6.144(D4xD5)	480,567
C₆.₁₄₅(D₄×D₅) = C₆₀.₁₆C₂³	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8+	C6.145(D4xD5)	480,568
C₆.₁₄₆(D₄×D₅) = D₅×Q₈⋊₂S₃	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120	8+	C6.146(D4xD5)	480,577
C₆.₁₄₇(D₄×D₅) = D₂₀⋊D₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120	8+	C6.147(D4xD5)	480,578
C₆.₁₄₈(D₄×D₅) = D₅×C₃⋊Q₁₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8-	C6.148(D4xD5)	480,583
C₆.₁₄₉(D₄×D₅) = D₂₀.₁₃D₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8-	C6.149(D4xD5)	480,584
C₆.₁₅₀(D₄×D₅) = D₁₂.₂₇D₁₀	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8-	C6.150(D4xD5)	480,589
C₆.₁₅₁(D₄×D₅) = D₂₀.₁₄D₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8-	C6.151(D4xD5)	480,590
C₆.₁₅₂(D₄×D₅) = C₆₀.₃₉C₂³	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8+	C6.152(D4xD5)	480,591
C₆.₁₅₃(D₄×D₅) = D₂₀.D₆	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240	8+	C6.153(D4xD5)	480,592
C₆.₁₅₄(D₄×D₅) = C₆.(D₄×D₅)	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.154(D4xD5)	480,610
C₆.₁₅₅(D₄×D₅) = D₅×C₆.D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120		C6.155(D4xD5)	480,623
C₆.₁₅₆(D₄×D₅) = C₂³.₁₇(S₃×D₅)	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.156(D4xD5)	480,624
C₆.₁₅₇(D₄×D₅) = (C₆×D₅)⋊D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.157(D4xD5)	480,625
C₆.₁₅₈(D₄×D₅) = Dic₁₅⋊₃D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.158(D4xD5)	480,626
C₆.₁₅₉(D₄×D₅) = Dic₅×C₃⋊D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.159(D4xD5)	480,627
C₆.₁₆₀(D₄×D₅) = C₁₅⋊₂₆(C₄×D₄)	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.160(D4xD5)	480,628
C₆.₁₆₁(D₄×D₅) = (C₂×C₃₀)⋊D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120		C6.161(D4xD5)	480,639
C₆.₁₆₂(D₄×D₅) = (C₂×C₆)⋊₈D₂₀	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120		C6.162(D4xD5)	480,640
C₆.₁₆₃(D₄×D₅) = (S₃×C₁₀)⋊D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.163(D4xD5)	480,641
C₆.₁₆₄(D₄×D₅) = (C₂×C₁₀)⋊₄D₁₂	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.164(D4xD5)	480,642
C₆.₁₆₅(D₄×D₅) = Dic₁₅⋊₅D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.165(D4xD5)	480,643
C₆.₁₆₆(D₄×D₅) = (C₂×C₃₀)⋊Q₈	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	240		C6.166(D4xD5)	480,650
C₆.₁₆₇(D₄×D₅) = D₃₀⋊₈D₄	φ: D₄×D₅/C₂²×D₅ → C₂ ⊆ Aut C₆	120		C6.167(D4xD5)	480,653
C₆.₁₆₈(D₄×D₅) = C₃×Dic₅.₁₄D₄	central extension (φ=1)	240		C6.168(D4xD5)	480,671
C₆.₁₆₉(D₄×D₅) = C₃×D₅×C₂²⋊C₄	central extension (φ=1)	120		C6.169(D4xD5)	480,673
C₆.₁₇₀(D₄×D₅) = C₃×Dic₅⋊₄D₄	central extension (φ=1)	240		C6.170(D4xD5)	480,674
C₆.₁₇₁(D₄×D₅) = C₃×C₂²⋊D₂₀	central extension (φ=1)	120		C6.171(D4xD5)	480,675
C₆.₁₇₂(D₄×D₅) = C₃×D₁₀.₁₂D₄	central extension (φ=1)	240		C6.172(D4xD5)	480,676
C₆.₁₇₃(D₄×D₅) = C₃×D₁₀⋊D₄	central extension (φ=1)	240		C6.173(D4xD5)	480,677
C₆.₁₇₄(D₄×D₅) = C₃×Dic₅.₅D₄	central extension (φ=1)	240		C6.174(D4xD5)	480,678
C₆.₁₇₅(D₄×D₅) = C₃×C₂₀⋊Q₈	central extension (φ=1)	480		C6.175(D4xD5)	480,681
C₆.₁₇₆(D₄×D₅) = C₃×D₅×C₄⋊C₄	central extension (φ=1)	240		C6.176(D4xD5)	480,684
C₆.₁₇₇(D₄×D₅) = C₃×D₂₀⋊₈C₄	central extension (φ=1)	240		C6.177(D4xD5)	480,686
C₆.₁₇₈(D₄×D₅) = C₃×D₁₀.₁₃D₄	central extension (φ=1)	240		C6.178(D4xD5)	480,687
C₆.₁₇₉(D₄×D₅) = C₃×C₄⋊D₂₀	central extension (φ=1)	240		C6.179(D4xD5)	480,688
C₆.₁₈₀(D₄×D₅) = C₃×D₁₀⋊Q₈	central extension (φ=1)	240		C6.180(D4xD5)	480,689
C₆.₁₈₁(D₄×D₅) = C₃×D₅×D₈	central extension (φ=1)	120	4	C6.181(D4xD5)	480,703
C₆.₁₈₂(D₄×D₅) = C₃×D₈⋊D₅	central extension (φ=1)	120	4	C6.182(D4xD5)	480,704
C₆.₁₈₃(D₄×D₅) = C₃×D₈⋊₃D₅	central extension (φ=1)	240	4	C6.183(D4xD5)	480,705
C₆.₁₈₄(D₄×D₅) = C₃×D₅×SD₁₆	central extension (φ=1)	120	4	C6.184(D4xD5)	480,706
C₆.₁₈₅(D₄×D₅) = C₃×D₄₀⋊C₂	central extension (φ=1)	120	4	C6.185(D4xD5)	480,707
C₆.₁₈₆(D₄×D₅) = C₃×SD₁₆⋊D₅	central extension (φ=1)	240	4	C6.186(D4xD5)	480,708
C₆.₁₈₇(D₄×D₅) = C₃×SD₁₆⋊₃D₅	central extension (φ=1)	240	4	C6.187(D4xD5)	480,709
C₆.₁₈₈(D₄×D₅) = C₃×D₅×Q₁₆	central extension (φ=1)	240	4	C6.188(D4xD5)	480,710
C₆.₁₈₉(D₄×D₅) = C₃×Q₁₆⋊D₅	central extension (φ=1)	240	4	C6.189(D4xD5)	480,711
C₆.₁₉₀(D₄×D₅) = C₃×Q₈.D₁₀	central extension (φ=1)	240	4	C6.190(D4xD5)	480,712
C₆.₁₉₁(D₄×D₅) = C₃×D₄×Dic₅	central extension (φ=1)	240		C6.191(D4xD5)	480,727
C₆.₁₉₂(D₄×D₅) = C₃×C₂³⋊D₁₀	central extension (φ=1)	120		C6.192(D4xD5)	480,730
C₆.₁₉₃(D₄×D₅) = C₃×C₂₀⋊₂D₄	central extension (φ=1)	240		C6.193(D4xD5)	480,731
C₆.₁₉₄(D₄×D₅) = C₃×Dic₅⋊D₄	central extension (φ=1)	240		C6.194(D4xD5)	480,732
C₆.₁₉₅(D₄×D₅) = C₃×C₂₀⋊D₄	central extension (φ=1)	240		C6.195(D4xD5)	480,733

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Extensions 1→N→G→Q→1 with N=C6 and Q=D4×D5

Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄×D₅