Subgroups — C₅₉×#62256 #28474365

Order 15104.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#3519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#3350	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#3348	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#3345	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#3344	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#3321	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#3320	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#3317	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#3316	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#3311	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3310	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#3307	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#3306	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#3267	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#3250	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#3246	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#3191	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#3190	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#3188	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₉×#3187	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₉×#3181	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₉×#3180	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₉×#3056	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₉×#3055	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₉×#3050	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₅₉×#465	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅₉×#435	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₅₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×AGL(1,ℤ/8)×C₅₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#135×C₅₉	C₂²	1	1	yes	characteristic, complemented
35	C₂²×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic, complemented
36	C₂²×M₁₆×C₅₉	C₂²	1	1	yes	characteristic, complemented
37	C₂³×C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
38	C₅₉×#556	C₂²	1	1	yes	characteristic, complemented
39	C₅₉×#555	C₂²	1	1	yes	characteristic
40	C₅₉×#554	—	2	1	no	—
41	C₅₉×#554	C₂²	1	1	yes	characteristic
42	C₅₉×#553	—	2	1	no	—
43	C₅₉×#553	C₂²	1	1	yes	characteristic
44	C₅₉×#553	C₂²	1	1	yes	characteristic
45	C₅₉×#552	C₂²	1	1	yes	characteristic
46	C₅₉×#552	C₂²	1	1	yes	characteristic, complemented
47	C₅₉×#551	—	2	1	no	—
48	C₅₉×#551	—	2	1	no	—
49	C₅₉×#550	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
51	C₅₉×#548	C₂²	1	1	yes	characteristic
52	C₅₉×#548	C₂²	1	1	yes	characteristic, complemented
53	C₅₉×#547	C₂²	1	1	yes	characteristic, complemented
54	C₅₉×#547	C₂²	1	1	yes	characteristic, complemented
55	C₅₉×#546	—	2	1	no	—
56	C₅₉×#546	—	2	1	no	—
57	C₅₉×#546	—	2	1	no	—
58	C₅₉×#546	C₂²	1	1	yes	characteristic
59	C₅₉×#546	C₂²	1	1	yes	characteristic
60	D₄²×C₅₉	—	2	1	no	—
61	D₄²×C₅₉	C₂²	1	1	yes	characteristic
62	C₅₉×#542	—	2	1	no	—
63	C₅₉×#540	—	2	1	no	—
64	C₅₉×#539	—	2	1	no	—
65	C₅₉×#539	—	2	1	no	—
66	C₅₉×#538	—	2	1	no	—
67	C₅₉×#538	—	2	1	no	—
68	C₅₉×#533	C₂²	1	1	yes	characteristic, complemented
69	C₅₉×#532	C₂²	1	1	yes	characteristic
70	C₅₉×#529	C₂²	1	1	yes	characteristic
71	C₅₉×#529	C₂²	1	1	yes	characteristic, complemented
72	C₅₉×#525	C₂²	1	1	yes	characteristic
73	C₅₉×#525	C₂²	1	1	yes	characteristic
74	C₅₉×#525	C₂²	1	1	yes	characteristic, complemented
75	C₅₉×#525	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
78	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
79	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
80	C₅₉×#520	—	2	1	no	—
81	C₅₉×#518	—	2	1	no	—
82	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
83	C₅₉×#501	C₂²	1	1	yes	characteristic, complemented
84	C₅₉×#501	C₂²	1	1	yes	characteristic, complemented
85	C₅₉×#497	C₂²	1	1	yes	characteristic, complemented
86	C₅₉×#496	C₂²	1	1	yes	characteristic, complemented
87	C₅₉×#491	C₂²	1	1	yes	characteristic, complemented
88	C₅₉×#490	C₂²	1	1	yes	characteristic, complemented
89	C₅₉×#489	C₂²	1	1	yes	characteristic, complemented
90	C₅₉×#489	C₂²	1	1	yes	characteristic, complemented
91	C₅₉×#485	C₂²	1	1	yes	characteristic, complemented
92	C₅₉×#485	C₂²	1	1	yes	characteristic, complemented
93	C₅₉×#485	C₂²	1	1	yes	characteristic, complemented
94	C₅₉×#485	C₂²	1	1	yes	characteristic, complemented
95	C₅₉×#484	C₂²	1	1	yes	characteristic, complemented
96	C₅₉×#483	C₂²	1	1	yes	characteristic, complemented
97	C₅₉×#483	C₂²	1	1	yes	characteristic, complemented
98	C₅₉×#483	C₂²	1	1	yes	characteristic, complemented
99	C₅₉×#482	C₂²	1	1	yes	characteristic, complemented
100	C₅₉×#482	C₂²	1	1	yes	characteristic, complemented
101	C₅₉×#482	C₂²	1	1	yes	characteristic, complemented
102	C₅₉×#482	C₂²	1	1	yes	characteristic, complemented
103	C₅₉×#481	C₂²	1	1	yes	characteristic, complemented
104	C₅₉×#481	C₂²	1	1	yes	characteristic, complemented
105	C₅₉×#481	C₂²	1	1	yes	characteristic, complemented
106	C₅₉×#480	C₂²	1	1	yes	characteristic, complemented
107	C₅₉×#479	C₂²	1	1	yes	characteristic, complemented
108	C₅₉×#479	C₂²	1	1	yes	characteristic, complemented
109	C₅₉×#478	C₂²	1	1	yes	characteristic, complemented
110	C₅₉×#478	C₂²	1	1	yes	characteristic, complemented
111	C₅₉×#476	C₂²	1	1	yes	characteristic, complemented
112	C₅₉×#476	C₂²	1	1	yes	characteristic, complemented
113	C₅₉×#475	C₂²	1	1	yes	characteristic, complemented
114	C₅₉×#475	C₂²	1	1	yes	characteristic, complemented
115	C₅₉×#470	C₂²	1	1	yes	characteristic, complemented
116	C₅₉×#470	C₂²	1	1	yes	characteristic, complemented
117	C₅₉×#469	C₂²	1	1	yes	characteristic, complemented
118	C₅₉×#469	C₂²	1	1	yes	characteristic, complemented
119	C₅₉×#468	C₂²	1	1	yes	characteristic, complemented
120	C₅₉×#468	C₂²	1	1	yes	characteristic, complemented
121	C₅₉×#468	C₂²	1	1	yes	characteristic, complemented
122	C₅₉×#468	C₂²	1	1	yes	characteristic, complemented
123	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
124	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
125	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
126	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
127	C₅₉×#466	C₂²	1	1	yes	characteristic
128	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
129	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
130	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
131	C₅₉×#465	C₂²	1	1	yes	characteristic
132	C₅₉×#465	C₂²	1	1	yes	characteristic
133	C₅₉×#465	C₂²	1	1	yes	characteristic
134	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
135	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
136	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
137	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
138	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
139	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
140	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
141	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
142	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
143	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
144	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
145	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
146	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
147	C₅₉×#464	C₂²	1	1	yes	characteristic, complemented
148	C₅₉×#464	C₂²	1	1	yes	characteristic, complemented
149	C₅₉×#463	C₂²	1	1	yes	characteristic, complemented
150	C₅₉×#463	C₂²	1	1	yes	characteristic, complemented
151	C₅₉×#461	C₂²	1	1	yes	characteristic, complemented
152	C₅₉×#461	C₂²	1	1	yes	characteristic, complemented
153	C₅₉×#460	C₂²	1	1	yes	characteristic, complemented
154	C₅₉×#460	C₂²	1	1	yes	characteristic, complemented
155	C₅₉×#452	C₂²	1	1	yes	characteristic, complemented
156	C₅₉×#452	C₂²	1	1	yes	characteristic, complemented
157	C₅₉×#452	C₂²	1	1	yes	characteristic, complemented
158	C₅₉×#452	C₂²	1	1	yes	characteristic, complemented
159	C₅₉×#451	C₂²	1	1	yes	characteristic, complemented
160	C₅₉×#450	C₂²	1	1	yes	characteristic, complemented
161	C₅₉×#450	C₂²	1	1	yes	characteristic, complemented
162	C₅₉×#450	C₂²	1	1	yes	characteristic, complemented
163	C₅₉×#449	C₂²	1	1	yes	characteristic, complemented
164	C₅₉×#449	C₂²	1	1	yes	characteristic, complemented
165	C₅₉×#449	C₂²	1	1	yes	characteristic, complemented
166	C₅₉×#449	C₂²	1	1	yes	characteristic, complemented
167	C₅₉×#448	C₂²	1	1	yes	characteristic, complemented
168	C₅₉×#448	C₂²	1	1	yes	characteristic, complemented
169	C₅₉×#448	C₂²	1	1	yes	characteristic, complemented
170	C₅₉×#447	C₂²	1	1	yes	characteristic, complemented
171	C₅₉×#442	C₂²	1	1	yes	characteristic, complemented
172	C₅₉×#442	C₂²	1	1	yes	characteristic, complemented
173	C₅₉×#441	C₂²	1	1	yes	characteristic, complemented
174	C₅₉×#441	C₂²	1	1	yes	characteristic, complemented
175	C₅₉×#440	C₂²	1	1	yes	characteristic, complemented
176	C₅₉×#440	C₂²	1	1	yes	characteristic, complemented
177	C₅₉×#440	C₂²	1	1	yes	characteristic, complemented
178	C₅₉×#440	C₂²	1	1	yes	characteristic, complemented
179	C₅₉×#435	C₂²	1	1	yes	characteristic
180	C₅₉×#435	C₂²	1	1	yes	characteristic
181	C₅₉×#435	C₂²	1	1	yes	characteristic, complemented
182	C₅₉×#435	C₂²	1	1	yes	characteristic, complemented
183	C₅₉×#435	C₂²	1	1	yes	characteristic, complemented
184	C₅₉×#435	C₂²	1	1	yes	characteristic, complemented
185	C₅₉×#435	C₂²	1	1	yes	characteristic, complemented
186	C₅₉×#435	C₂²	1	1	yes	characteristic, complemented
187	C₅₉×#428	C₂²	1	1	yes	characteristic, complemented
188	C₅₉×#428	C₂²	1	1	yes	characteristic, complemented
189	C₅₉×#427	C₂²	1	1	yes	characteristic, complemented
190	C₂×#106×C₅₉	C₂²	1	1	yes	characteristic, complemented
191	C₂×C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
192	C₅₉×#419	C₂²	1	1	yes	characteristic, complemented
193	C₅₉×#418	C₂²	1	1	yes	characteristic, complemented
194	C₅₉×#417	C₂²	1	1	yes	characteristic, complemented
195	C₅₉×#417	C₂²	1	1	yes	characteristic, complemented
196	C₅₉×#416	C₂²	1	1	yes	characteristic, complemented
197	C₅₉×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic, complemented
199	C₂×#102×C₅₉	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
202	C₂×#97×C₅₉	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₅₉	—	2	1	no	—
204	C₂×#41×C₅₉	—	2	1	no	—
205	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
206	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
207	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
208	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₅₉	—	2	1	no	—
212	C₂²×D₄×C₅₉	—	2	1	no	—
213	C₂²×D₄×C₅₉	—	2	1	no	—
214	C₂²×D₄×C₅₉	D₄	1	1	yes	characteristic
215	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
216	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
219	#137×C₅₉	—	4	2	no	—
220	AGL(1,ℤ/8)×C₅₉	—	4	2	no	—
221	#135×C₅₉	—	4	2	no	—
222	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₅₉	—	4	2	no	—
226	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
236	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
237	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
238	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
239	C₂×M₁₆×C₅₉	—	4	2	no	—
240	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
241	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
242	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
243	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
244	C₂²×C₈×C₅₉	—	4	2	no	—
245	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
251	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
252	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
253	C₄⋊Q₈×C₅₉	—	2	1	no	—
254	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
255	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
256	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
257	#127×C₅₉	—	2	1	no	—
258	#127×C₅₉	C₂³	1	1	yes	characteristic
259	#126×C₅₉	—	2	1	no	—
260	#126×C₅₉	—	2	1	no	—
261	#126×C₅₉	—	2	1	no	—
262	#126×C₅₉	—	2	1	no	—
263	#126×C₅₉	—	2	1	no	—
264	#126×C₅₉	—	2	1	no	—
265	#126×C₅₉	—	2	1	no	—
266	#126×C₅₉	—	2	1	no	—
267	#125×C₅₉	—	2	1	no	—
268	#125×C₅₉	—	2	1	no	—
269	#125×C₅₉	—	2	1	no	—
270	#125×C₅₉	—	2	1	no	—
271	#125×C₅₉	C₂³	1	1	yes	characteristic
272	#125×C₅₉	C₂³	1	1	yes	characteristic
273	#124×C₅₉	—	2	1	no	—
274	#124×C₅₉	—	2	1	no	—
275	#124×C₅₉	—	2	1	no	—
276	#124×C₅₉	—	2	1	no	—
277	#124×C₅₉	—	2	1	no	—
278	#124×C₅₉	—	2	1	no	—
279	#124×C₅₉	C₂³	1	1	yes	characteristic
280	#124×C₅₉	C₂³	1	1	yes	characteristic
281	#123×C₅₉	—	2	1	no	—
282	#123×C₅₉	—	2	1	no	—
283	#123×C₅₉	—	2	1	no	—
284	#123×C₅₉	—	2	1	no	—
285	#123×C₅₉	—	2	1	no	—
286	#123×C₅₉	—	2	1	no	—
287	#123×C₅₉	—	2	1	no	—
288	#123×C₅₉	—	2	1	no	—
289	#123×C₅₉	—	2	1	no	—
290	#123×C₅₉	—	2	1	no	—
291	#123×C₅₉	—	2	1	no	—
292	#123×C₅₉	—	2	1	no	—
293	#123×C₅₉	—	2	1	no	—
294	#123×C₅₉	—	2	1	no	—
295	#123×C₅₉	—	2	1	no	—
296	#123×C₅₉	—	2	1	no	—
297	C₂²⋊Q₈×C₅₉	—	2	1	no	—
298	C₂²⋊Q₈×C₅₉	—	2	1	no	—
299	C₂²⋊Q₈×C₅₉	—	2	1	no	—
300	C₂²⋊Q₈×C₅₉	—	2	1	no	—
301	C₂²⋊Q₈×C₅₉	—	2	1	no	—
302	C₂²⋊Q₈×C₅₉	—	2	1	no	—
303	C₂²⋊Q₈×C₅₉	—	2	1	no	—
304	C₂²⋊Q₈×C₅₉	—	2	1	no	—
305	C₂²⋊Q₈×C₅₉	—	2	1	no	—
306	C₂²⋊Q₈×C₅₉	—	2	1	no	—
307	C₂²⋊Q₈×C₅₉	—	2	1	no	—
308	C₂²⋊Q₈×C₅₉	—	2	1	no	—
309	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
310	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
311	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
312	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
313	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
314	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
315	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
316	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
321	#121×C₅₉	—	2	1	no	—
322	#121×C₅₉	—	2	1	no	—
323	#121×C₅₉	—	2	1	no	—
324	#121×C₅₉	—	2	1	no	—
325	#121×C₅₉	—	2	1	no	—
326	#121×C₅₉	—	2	1	no	—
327	#121×C₅₉	—	2	1	no	—
328	#121×C₅₉	—	2	1	no	—
329	#121×C₅₉	—	2	1	no	—
330	#121×C₅₉	—	2	1	no	—
331	#121×C₅₉	—	2	1	no	—
332	#121×C₅₉	—	2	1	no	—
333	#121×C₅₉	—	2	1	no	—
334	#121×C₅₉	—	2	1	no	—
335	#121×C₅₉	—	2	1	no	—
336	#121×C₅₉	—	2	1	no	—
337	#121×C₅₉	C₂³	1	1	yes	characteristic
338	#121×C₅₉	C₂³	1	1	yes	characteristic
339	#121×C₅₉	C₂³	1	1	yes	characteristic
340	#121×C₅₉	C₂³	1	1	yes	characteristic
341	#121×C₅₉	C₂³	1	1	yes	characteristic
342	#121×C₅₉	C₂³	1	1	yes	characteristic
343	#121×C₅₉	C₂³	1	1	yes	characteristic
344	#121×C₅₉	C₂³	1	1	yes	characteristic
345	#121×C₅₉	C₂³	1	1	yes	characteristic
346	#121×C₅₉	C₂³	1	1	yes	characteristic
347	#121×C₅₉	C₂³	1	1	yes	characteristic
348	#121×C₅₉	C₂³	1	1	yes	characteristic
349	#120×C₅₉	—	2	1	no	—
350	#120×C₅₉	—	2	1	no	—
351	#120×C₅₉	—	2	1	no	—
352	#120×C₅₉	—	2	1	no	—
353	#120×C₅₉	—	2	1	no	—
354	#120×C₅₉	—	2	1	no	—
355	#120×C₅₉	—	2	1	no	—
356	#120×C₅₉	—	2	1	no	—
357	C₄×Q₈×C₅₉	—	2	1	no	—
358	C₄×Q₈×C₅₉	—	2	1	no	—
359	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
360	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
361	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₅₉	—	2	1	no	—
364	C₄×D₄×C₅₉	—	2	1	no	—
365	C₄×D₄×C₅₉	—	2	1	no	—
366	C₄×D₄×C₅₉	—	2	1	no	—
367	C₄×D₄×C₅₉	—	2	1	no	—
368	C₄×D₄×C₅₉	—	2	1	no	—
369	C₄×D₄×C₅₉	—	2	1	no	—
370	C₄×D₄×C₅₉	—	2	1	no	—
371	C₄×D₄×C₅₉	—	2	1	no	—
372	C₄×D₄×C₅₉	—	2	1	no	—
373	C₄×D₄×C₅₉	—	2	1	no	—
374	C₄×D₄×C₅₉	—	2	1	no	—
375	C₄×D₄×C₅₉	—	2	1	no	—
376	C₄×D₄×C₅₉	—	2	1	no	—
377	C₄×D₄×C₅₉	—	2	1	no	—
378	C₄×D₄×C₅₉	—	2	1	no	—
379	C₄×D₄×C₅₉	—	2	1	no	—
380	C₄×D₄×C₅₉	—	2	1	no	—
381	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
382	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
383	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
384	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
385	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
386	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
387	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
391	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
393	#117×C₅₉	—	2	1	no	—
394	#117×C₅₉	—	2	1	no	—
395	#117×C₅₉	—	2	1	no	—
396	#117×C₅₉	—	2	1	no	—
397	#117×C₅₉	—	2	1	no	—
398	#117×C₅₉	—	2	1	no	—
399	#117×C₅₉	C₂³	1	1	yes	characteristic
400	#117×C₅₉	C₂³	1	1	yes	characteristic
401	#117×C₅₉	C₂³	1	1	yes	characteristic
402	#117×C₅₉	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
404	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
405	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
406	C₂×C₄⋊C₄×C₅₉	D₄	1	1	yes	characteristic
407	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
408	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
410	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
411	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
412	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
413	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
414	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
415	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
416	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
417	C₂×C₂²⋊C₄×C₅₉	D₄	1	1	yes	characteristic
418	C₂×C₂²⋊C₄×C₅₉	D₄	1	1	yes	characteristic
419	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
420	#107×C₅₉	C₂³	1	1	yes	characteristic
421	#107×C₅₉	C₂³	1	1	yes	characteristic
422	#107×C₅₉	C₂³	1	1	yes	characteristic
423	#107×C₅₉	C₂³	1	1	yes	characteristic
424	#107×C₅₉	C₂³	1	1	yes	characteristic
425	#107×C₅₉	C₂³	1	1	yes	characteristic
426	#106×C₅₉	C₂³	1	1	yes	characteristic
427	#106×C₅₉	C₂³	1	1	yes	characteristic
428	#106×C₅₉	C₂³	1	1	yes	characteristic
429	#106×C₅₉	C₂³	1	1	yes	characteristic
430	#106×C₅₉	C₂³	1	1	yes	characteristic
431	#106×C₅₉	C₂³	1	1	yes	characteristic
432	#106×C₅₉	C₂³	1	1	yes	characteristic
433	#106×C₅₉	C₂³	1	1	yes	characteristic
434	#106×C₅₉	C₂³	1	1	yes	characteristic
435	#106×C₅₉	C₂³	1	1	yes	characteristic
436	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
437	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
440	#103×C₅₉	C₂³	1	1	yes	characteristic
441	#103×C₅₉	C₂³	1	1	yes	characteristic
442	#103×C₅₉	C₂³	1	1	yes	characteristic
443	#103×C₅₉	C₂³	1	1	yes	characteristic
444	#103×C₅₉	C₂³	1	1	yes	characteristic
445	#103×C₅₉	C₂³	1	1	yes	characteristic
446	#103×C₅₉	C₂³	1	1	yes	characteristic
447	#103×C₅₉	C₂³	1	1	yes	characteristic
448	#103×C₅₉	C₂³	1	1	yes	characteristic
449	#103×C₅₉	C₂³	1	1	yes	characteristic
450	#103×C₅₉	C₂³	1	1	yes	characteristic
451	#103×C₅₉	C₂³	1	1	yes	characteristic
452	#103×C₅₉	C₂³	1	1	yes	characteristic
453	#103×C₅₉	C₂³	1	1	yes	characteristic
454	#103×C₅₉	C₂³	1	1	yes	characteristic
455	#103×C₅₉	C₂³	1	1	yes	characteristic
456	#102×C₅₉	C₂³	1	1	yes	characteristic
457	#102×C₅₉	C₂³	1	1	yes	characteristic
458	#102×C₅₉	C₂³	1	1	yes	characteristic
459	#102×C₅₉	C₂³	1	1	yes	characteristic
460	#102×C₅₉	C₂³	1	1	yes	characteristic
461	#102×C₅₉	C₂³	1	1	yes	characteristic
462	#102×C₅₉	C₂³	1	1	yes	characteristic
463	#102×C₅₉	C₂³	1	1	yes	characteristic
464	#102×C₅₉	C₂³	1	1	yes	characteristic
465	#102×C₅₉	C₂³	1	1	yes	characteristic
466	#102×C₅₉	C₂³	1	1	yes	characteristic
467	#102×C₅₉	C₂³	1	1	yes	characteristic
468	#102×C₅₉	C₂³	1	1	yes	characteristic
469	#102×C₅₉	C₂³	1	1	yes	characteristic
470	#102×C₅₉	C₂³	1	1	yes	characteristic
471	#102×C₅₉	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
478	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
479	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
480	#97×C₅₉	C₂³	1	1	yes	characteristic
481	#97×C₅₉	C₂³	1	1	yes	characteristic
482	#97×C₅₉	C₂³	1	1	yes	characteristic
483	#97×C₅₉	C₂³	1	1	yes	characteristic
484	C₂⁴×C₅₉	—	2	1	no	—
485	C₂⁴×C₅₉	—	2	1	no	—
486	C₂⁴×C₅₉	C₂×D₄	1	1	yes	characteristic
487	C₂⁴×C₅₉	C₂×D₄	1	1	yes	characteristic
488	#41×C₅₉	—	4	1	no	—
489	#41×C₅₉	—	4	1	no	—
490	#41×C₅₉	—	4	1	no	—
491	#41×C₅₉	—	4	1	no	—
492	#41×C₅₉	—	4	1	no	—
493	#41×C₅₉	—	4	1	no	—
494	#41×C₅₉	—	4	1	no	—
495	#41×C₅₉	—	4	1	no	—
496	#41×C₅₉	—	4	4	no	—
497	#41×C₅₉	—	8	2	no	—
498	C₂×Q₈×C₅₉	—	2	1	no	—
499	C₂×Q₈×C₅₉	—	2	1	no	—
500	C₂×Q₈×C₅₉	—	2	1	no	—
501	C₂×Q₈×C₅₉	—	2	1	no	—
502	C₂×Q₈×C₅₉	—	4	1	no	—
503	C₂×Q₈×C₅₉	—	4	1	no	—
504	C₂×Q₈×C₅₉	—	4	1	no	—
505	C₂×Q₈×C₅₉	—	4	1	no	—
506	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₅₉	—	2	1	no	—
511	C₂×D₄×C₅₉	—	2	1	no	—
512	C₂×D₄×C₅₉	—	2	1	no	—
513	C₂×D₄×C₅₉	—	2	1	no	—
514	C₂×D₄×C₅₉	—	2	1	no	—
515	C₂×D₄×C₅₉	—	2	1	no	—
516	C₂×D₄×C₅₉	—	2	1	no	—
517	C₂×D₄×C₅₉	—	2	1	no	—
518	C₂×D₄×C₅₉	—	2	1	no	—
519	C₂×D₄×C₅₉	—	2	1	no	—
520	C₂×D₄×C₅₉	—	2	1	no	—
521	C₂×D₄×C₅₉	—	2	1	no	—
522	C₂×D₄×C₅₉	—	2	1	no	—
523	C₂×D₄×C₅₉	—	2	1	no	—
524	C₂×D₄×C₅₉	—	2	1	no	—
525	C₂×D₄×C₅₉	—	2	1	no	—
526	C₂×D₄×C₅₉	—	2	1	no	—
527	C₂×D₄×C₅₉	—	2	1	no	—
528	C₂×D₄×C₅₉	—	2	1	no	—
529	C₂×D₄×C₅₉	—	2	1	no	—
530	C₂×D₄×C₅₉	—	4	1	no	—
531	C₂×D₄×C₅₉	—	4	1	no	—
532	C₂×D₄×C₅₉	—	4	1	no	—
533	C₂×D₄×C₅₉	—	4	1	no	—
534	C₂×D₄×C₅₉	—	4	2	no	—
535	C₂×D₄×C₅₉	—	4	4	no	—
536	C₂×D₄×C₅₉	—	8	2	no	—
537	C₂×D₄×C₅₉	—	8	2	no	—
538	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
539	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
540	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
541	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
542	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
543	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
544	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
545	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₅₉	—	2	1	no	—
547	C₂²×C₄×C₅₉	—	2	1	no	—
548	C₂²×C₄×C₅₉	—	2	1	no	—
549	C₂²×C₄×C₅₉	—	2	1	no	—
550	C₂²×C₄×C₅₉	—	2	1	no	—
551	C₂²×C₄×C₅₉	—	2	1	no	—
552	C₂²×C₄×C₅₉	—	2	1	no	—
553	C₂²×C₄×C₅₉	—	2	1	no	—
554	C₂²×C₄×C₅₉	—	2	1	no	—
555	C₂²×C₄×C₅₉	—	2	1	no	—
556	C₂²×C₄×C₅₉	—	2	1	no	—
557	C₂²×C₄×C₅₉	—	2	1	no	—
558	C₂²×C₄×C₅₉	—	2	1	no	—
559	C₂²×C₄×C₅₉	—	2	1	no	—
560	C₂²×C₄×C₅₉	—	4	1	no	—
561	C₂²×C₄×C₅₉	—	4	1	no	—
562	C₂²×C₄×C₅₉	—	4	1	no	—
563	C₂²×C₄×C₅₉	—	4	1	no	—
564	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
565	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
566	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
567	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
568	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
571	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
572	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
577	Q₁₆×C₅₉	—	2	2	no	—
578	Q₁₆×C₅₉	—	4	1	no	—
579	Q₁₆×C₅₉	—	4	1	no	—
580	SD₁₆×C₅₉	—	2	2	no	—
581	SD₁₆×C₅₉	—	2	2	no	—
582	SD₁₆×C₅₉	—	4	1	no	—
583	SD₁₆×C₅₉	—	4	1	no	—
584	SD₁₆×C₅₉	—	4	1	no	—
585	SD₁₆×C₅₉	—	4	1	no	—
586	SD₁₆×C₅₉	—	4	1	no	—
587	SD₁₆×C₅₉	—	4	1	no	—
588	SD₁₆×C₅₉	—	4	1	no	—
589	SD₁₆×C₅₉	—	4	1	no	—
590	D₈×C₅₉	—	2	2	no	—
591	D₈×C₅₉	—	4	1	no	—
592	D₈×C₅₉	—	4	1	no	—
593	M₁₆×C₅₉	—	2	2	no	—
594	M₁₆×C₅₉	—	2	2	no	—
595	M₁₆×C₅₉	—	4	1	no	—
596	M₁₆×C₅₉	—	4	1	no	—
597	C₂×C₈×C₅₉	—	2	2	no	—
598	C₂×C₈×C₅₉	—	2	2	no	—
599	C₂×C₈×C₅₉	—	2	2	no	—
600	C₂×C₈×C₅₉	—	4	1	no	—
601	C₂×C₈×C₅₉	—	4	1	no	—
602	C₂×C₈×C₅₉	—	4	1	no	—
603	C₂×C₈×C₅₉	—	4	1	no	—
604	C₂×C₈×C₅₉	—	4	1	no	—
605	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
606	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
607	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
610	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
612	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₅₉	—	2	1	no	—
614	C₄⋊C₄×C₅₉	—	2	1	no	—
615	C₄⋊C₄×C₅₉	—	2	1	no	—
616	C₄⋊C₄×C₅₉	—	2	1	no	—
617	C₄⋊C₄×C₅₉	—	2	1	no	—
618	C₄⋊C₄×C₅₉	—	2	1	no	—
619	C₄⋊C₄×C₅₉	—	2	1	no	—
620	C₄⋊C₄×C₅₉	—	2	1	no	—
621	C₄⋊C₄×C₅₉	—	2	1	no	—
622	C₄⋊C₄×C₅₉	—	2	1	no	—
623	C₄⋊C₄×C₅₉	—	2	1	no	—
624	C₄⋊C₄×C₅₉	—	2	1	no	—
625	C₄⋊C₄×C₅₉	—	2	1	no	—
626	C₄⋊C₄×C₅₉	—	2	1	no	—
627	C₄⋊C₄×C₅₉	—	2	1	no	—
628	C₄⋊C₄×C₅₉	—	2	1	no	—
629	C₄⋊C₄×C₅₉	—	2	1	no	—
630	C₄⋊C₄×C₅₉	—	2	1	no	—
631	C₄⋊C₄×C₅₉	—	2	1	no	—
632	C₄⋊C₄×C₅₉	—	2	1	no	—
633	C₄⋊C₄×C₅₉	—	2	1	no	—
634	C₄⋊C₄×C₅₉	—	2	1	no	—
635	C₄⋊C₄×C₅₉	—	2	1	no	—
636	C₄⋊C₄×C₅₉	—	2	1	no	—
637	C₄⋊C₄×C₅₉	—	2	1	no	—
638	C₄⋊C₄×C₅₉	—	2	1	no	—
639	C₄⋊C₄×C₅₉	—	2	1	no	—
640	C₄⋊C₄×C₅₉	—	2	1	no	—
641	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
643	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
644	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
645	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
648	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
649	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
650	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
651	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
652	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
653	C₂²⋊C₄×C₅₉	—	2	1	no	—
654	C₂²⋊C₄×C₅₉	—	2	1	no	—
655	C₂²⋊C₄×C₅₉	—	2	1	no	—
656	C₂²⋊C₄×C₅₉	—	2	1	no	—
657	C₂²⋊C₄×C₅₉	—	2	1	no	—
658	C₂²⋊C₄×C₅₉	—	2	1	no	—
659	C₂²⋊C₄×C₅₉	—	2	1	no	—
660	C₂²⋊C₄×C₅₉	—	2	1	no	—
661	C₂²⋊C₄×C₅₉	—	2	1	no	—
662	C₂²⋊C₄×C₅₉	—	2	1	no	—
663	C₂²⋊C₄×C₅₉	—	2	1	no	—
664	C₂²⋊C₄×C₅₉	—	2	1	no	—
665	C₂²⋊C₄×C₅₉	—	2	1	no	—
666	C₂²⋊C₄×C₅₉	—	2	1	no	—
667	C₂²⋊C₄×C₅₉	—	2	1	no	—
668	C₂²⋊C₄×C₅₉	—	2	1	no	—
669	C₂²⋊C₄×C₅₉	—	2	1	no	—
670	C₂²⋊C₄×C₅₉	—	2	1	no	—
671	C₂²⋊C₄×C₅₉	—	2	1	no	—
672	C₂²⋊C₄×C₅₉	—	2	1	no	—
673	C₂²⋊C₄×C₅₉	—	2	1	no	—
674	C₂²⋊C₄×C₅₉	—	2	1	no	—
675	C₂²⋊C₄×C₅₉	—	2	1	no	—
676	C₂²⋊C₄×C₅₉	—	2	1	no	—
677	C₂²⋊C₄×C₅₉	—	2	1	no	—
678	C₂²⋊C₄×C₅₉	—	2	1	no	—
679	C₂²⋊C₄×C₅₉	—	2	1	no	—
680	C₂²⋊C₄×C₅₉	—	2	1	no	—
681	C₂²⋊C₄×C₅₉	—	2	1	no	—
682	C₂²⋊C₄×C₅₉	—	2	1	no	—
683	C₂²⋊C₄×C₅₉	—	2	1	no	—
684	C₂²⋊C₄×C₅₉	—	2	1	no	—
685	C₂²⋊C₄×C₅₉	—	2	1	no	—
686	C₂²⋊C₄×C₅₉	—	2	1	no	—
687	C₂²⋊C₄×C₅₉	—	2	1	no	—
688	C₂²⋊C₄×C₅₉	—	2	1	no	—
689	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
693	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
694	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
695	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
696	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
697	C₄²×C₅₉	—	2	1	no	—
698	C₄²×C₅₉	—	2	1	no	—
699	C₄²×C₅₉	—	2	1	no	—
700	C₄²×C₅₉	—	2	1	no	—
701	C₄²×C₅₉	—	2	1	no	—
702	C₄²×C₅₉	—	2	1	no	—
703	C₄²×C₅₉	—	2	1	no	—
704	C₄²×C₅₉	—	2	1	no	—
705	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
706	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
707	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
708	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
709	C₂³×C₅₉	—	2	2	no	—
710	C₂³×C₅₉	—	2	2	no	—
711	C₂³×C₅₉	—	2	2	no	—
712	C₂³×C₅₉	—	2	1	no	—
713	C₂³×C₅₉	—	2	1	no	—
714	C₂³×C₅₉	—	2	1	no	—
715	C₂³×C₅₉	—	2	1	no	—
716	C₂³×C₅₉	—	4	1	no	—
717	C₂³×C₅₉	—	4	1	no	—
718	C₂³×C₅₉	—	4	1	no	—
719	C₂³×C₅₉	—	4	2	no	—
720	C₂³×C₅₉	—	4	2	no	—
721	C₂³×C₅₉	—	8	1	no	—
722	C₂³×C₅₉	—	8	1	no	—
723	C₂³×C₅₉	—	8	1	no	—
724	C₂³×C₅₉	—	8	1	no	—
725	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
726	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
727	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
728	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
729	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
730	Q₈×C₅₉	—	2	1	no	—
731	Q₈×C₅₉	—	2	1	no	—
732	Q₈×C₅₉	—	2	1	no	—
733	Q₈×C₅₉	—	2	1	no	—
734	Q₈×C₅₉	—	2	1	no	—
735	Q₈×C₅₉	—	2	1	no	—
736	Q₈×C₅₉	—	2	1	no	—
737	Q₈×C₅₉	—	2	1	no	—
738	Q₈×C₅₉	—	4	2	no	—
739	Q₈×C₅₉	—	8	1	no	—
740	Q₈×C₅₉	—	8	1	no	—
741	Q₈×C₅₉	—	8	1	no	—
742	D₄×C₅₉	—	2	2	no	—
743	D₄×C₅₉	—	2	2	no	—
744	D₄×C₅₉	—	2	1	no	—
745	D₄×C₅₉	—	2	1	no	—
746	D₄×C₅₉	—	2	1	no	—
747	D₄×C₅₉	—	2	1	no	—
748	D₄×C₅₉	—	2	1	no	—
749	D₄×C₅₉	—	2	1	no	—
750	D₄×C₅₉	—	2	1	no	—
751	D₄×C₅₉	—	2	1	no	—
752	D₄×C₅₉	—	4	1	no	—
753	D₄×C₅₉	—	4	1	no	—
754	D₄×C₅₉	—	4	2	no	—
755	D₄×C₅₉	—	4	2	no	—
756	D₄×C₅₉	—	4	2	no	—
757	D₄×C₅₉	—	4	2	no	—
758	D₄×C₅₉	—	4	2	no	—
759	D₄×C₅₉	—	4	2	no	—
760	D₄×C₅₉	—	4	2	no	—
761	D₄×C₅₉	—	4	2	no	—
762	D₄×C₅₉	—	4	2	no	—
763	D₄×C₅₉	—	8	1	no	—
764	D₄×C₅₉	—	8	1	no	—
765	D₄×C₅₉	—	8	1	no	—
766	D₄×C₅₉	—	8	1	no	—
767	D₄×C₅₉	—	8	1	no	—
768	D₄×C₅₉	—	8	1	no	—
769	D₄×C₅₉	—	8	1	no	—
770	D₄×C₅₉	—	8	1	no	—
771	D₄×C₅₉	—	8	1	no	—
772	D₄×C₅₉	—	8	1	no	—
773	D₄×C₅₉	—	8	1	no	—
774	C₂×C₄×C₅₉	—	2	2	no	—
775	C₂×C₄×C₅₉	—	2	1	no	—
776	C₂×C₄×C₅₉	—	2	1	no	—
777	C₂×C₄×C₅₉	—	2	1	no	—
778	C₂×C₄×C₅₉	—	2	1	no	—
779	C₂×C₄×C₅₉	—	2	1	no	—
780	C₂×C₄×C₅₉	—	2	1	no	—
781	C₂×C₄×C₅₉	—	2	1	no	—
782	C₂×C₄×C₅₉	—	2	1	no	—
783	C₂×C₄×C₅₉	—	2	1	no	—
784	C₂×C₄×C₅₉	—	2	1	no	—
785	C₂×C₄×C₅₉	—	2	1	no	—
786	C₂×C₄×C₅₉	—	2	1	no	—
787	C₂×C₄×C₅₉	—	2	1	no	—
788	C₂×C₄×C₅₉	—	2	1	no	—
789	C₂×C₄×C₅₉	—	2	1	no	—
790	C₂×C₄×C₅₉	—	2	1	no	—
791	C₂×C₄×C₅₉	—	2	1	no	—
792	C₂×C₄×C₅₉	—	2	1	no	—
793	C₂×C₄×C₅₉	—	2	1	no	—
794	C₂×C₄×C₅₉	—	2	1	no	—
795	C₂×C₄×C₅₉	—	2	1	no	—
796	C₂×C₄×C₅₉	—	2	1	no	—
797	C₂×C₄×C₅₉	—	4	1	no	—
798	C₂×C₄×C₅₉	—	4	1	no	—
799	C₂×C₄×C₅₉	—	4	1	no	—
800	C₂×C₄×C₅₉	—	4	1	no	—
801	C₂×C₄×C₅₉	—	4	1	no	—
802	C₂×C₄×C₅₉	—	4	1	no	—
803	C₂×C₄×C₅₉	—	4	1	no	—
804	C₂×C₄×C₅₉	—	4	2	no	—
805	C₂×C₄×C₅₉	—	4	2	no	—
806	C₂×C₄×C₅₉	—	4	2	no	—
807	C₂×C₄×C₅₉	—	4	2	no	—
808	C₂×C₄×C₅₉	—	8	1	no	—
809	C₂×C₄×C₅₉	—	8	1	no	—
810	C₂×C₄×C₅₉	—	8	1	no	—
811	C₂×C₄×C₅₉	—	8	1	no	—
812	C₂×C₄×C₅₉	—	8	1	no	—
813	C₂×C₄×C₅₉	—	8	1	no	—
814	C₂×C₄×C₅₉	—	8	1	no	—
815	C₂×C₄×C₅₉	—	8	1	no	—
816	C₂×C₄×C₅₉	—	8	1	no	—
817	C₂×C₄×C₅₉	—	8	1	no	—
818	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
828	C₈×C₅₉	—	2	1	no	—
829	C₈×C₅₉	—	2	1	no	—
830	C₈×C₅₉	—	2	1	no	—
831	C₈×C₅₉	—	2	1	no	—
832	C₈×C₅₉	—	2	1	no	—
833	C₈×C₅₉	—	2	1	no	—
834	C₈×C₅₉	—	2	1	no	—
835	C₈×C₅₉	H(5,𝔽₂)	1	2	yes	—
836	#62256	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
837	C₂²×C₅₉	—	2	1	no	—
838	C₂²×C₅₉	—	2	1	no	—
839	C₂²×C₅₉	—	2	1	no	—
840	C₂²×C₅₉	—	2	1	no	—
841	C₂²×C₅₉	—	2	1	no	—
842	C₂²×C₅₉	—	2	1	no	—
843	C₂²×C₅₉	—	2	1	no	—
844	C₂²×C₅₉	—	2	1	no	—
845	C₂²×C₅₉	—	2	1	no	—
846	C₂²×C₅₉	—	2	1	no	—
847	C₂²×C₅₉	—	2	1	no	—
848	C₂²×C₅₉	—	2	1	no	—
849	C₂²×C₅₉	—	2	1	no	—
850	C₂²×C₅₉	—	4	4	no	—
851	C₂²×C₅₉	—	4	1	no	—
852	C₂²×C₅₉	—	4	1	no	—
853	C₂²×C₅₉	—	4	1	no	—
854	C₂²×C₅₉	—	4	1	no	—
855	C₂²×C₅₉	—	4	1	no	—
856	C₂²×C₅₉	—	4	1	no	—
857	C₂²×C₅₉	—	4	1	no	—
858	C₂²×C₅₉	—	4	1	no	—
859	C₂²×C₅₉	—	4	1	no	—
860	C₂²×C₅₉	—	4	1	no	—
861	C₂²×C₅₉	—	4	1	no	—
862	C₂²×C₅₉	—	4	1	no	—
863	C₂²×C₅₉	—	8	2	no	—
864	C₂²×C₅₉	—	16	2	no	—
865	C₂²×C₅₉	—	16	2	no	—
866	C₂²×C₅₉	#575	1	2	yes	—
867	C₂²×C₅₉	#577	1	2	yes	—
868	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
869	C₄×C₅₉	—	2	1	no	—
870	C₄×C₅₉	—	2	1	no	—
871	C₄×C₅₉	—	2	1	no	—
872	C₄×C₅₉	—	2	1	no	—
873	C₄×C₅₉	—	2	1	no	—
874	C₄×C₅₉	—	2	1	no	—
875	C₄×C₅₉	—	2	1	no	—
876	C₄×C₅₉	—	2	1	no	—
877	C₄×C₅₉	—	2	1	no	—
878	C₄×C₅₉	—	4	1	no	—
879	C₄×C₅₉	—	4	1	no	—
880	C₄×C₅₉	—	4	1	no	—
881	C₄×C₅₉	—	4	1	no	—
882	C₄×C₅₉	—	4	1	no	—
883	C₄×C₅₉	—	4	1	no	—
884	C₄×C₅₉	—	4	1	no	—
885	C₄×C₅₉	—	4	1	no	—
886	C₄×C₅₉	—	4	1	no	—
887	C₄×C₅₉	—	4	1	no	—
888	C₄×C₅₉	—	4	1	no	—
889	C₄×C₅₉	—	4	1	no	—
890	C₄×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
891	C₄×C₅₉	#585	1	1	yes	characteristic
892	#3520	C₂×C₅₉	1	1	yes	characteristic, complemented
893	#3519	C₂×C₅₉	1	1	yes	characteristic, complemented
894	#3350	C₂×C₅₉	1	1	yes	characteristic, complemented
895	#3348	C₂×C₅₉	1	1	yes	characteristic, complemented
896	#3345	C₂×C₅₉	1	1	yes	characteristic, complemented
897	#3344	C₂×C₅₉	1	1	yes	characteristic, complemented
898	#3321	C₂×C₅₉	1	1	yes	characteristic, complemented
899	#3320	C₂×C₅₉	1	1	yes	characteristic, complemented
900	#3317	C₂×C₅₉	1	1	yes	characteristic, complemented
901	#3316	C₂×C₅₉	1	1	yes	characteristic, complemented
902	#3311	C₂×C₅₉	1	1	yes	characteristic, complemented
903	#3310	C₂×C₅₉	1	1	yes	characteristic, complemented
904	#3307	C₂×C₅₉	1	1	yes	characteristic, complemented
905	#3306	C₂×C₅₉	1	1	yes	characteristic, complemented
906	#3271	C₂×C₅₉	1	1	yes	characteristic, complemented
907	#3267	C₂×C₅₉	1	1	yes	characteristic, complemented
908	#3266	C₂×C₅₉	1	1	yes	characteristic, complemented
909	#3265	C₂×C₅₉	1	1	yes	characteristic, complemented
910	#3250	C₂×C₅₉	1	1	yes	characteristic, complemented
911	#3246	C₂×C₅₉	1	1	yes	characteristic, complemented
912	#3191	C₂×C₅₉	1	1	yes	characteristic, complemented
913	#3190	C₂×C₅₉	1	1	yes	characteristic, complemented
914	#3188	C₂×C₅₉	1	1	yes	characteristic, complemented
915	#3187	C₂×C₅₉	1	1	yes	characteristic, complemented
916	#3181	C₂×C₅₉	1	1	yes	characteristic, complemented
917	#3180	C₂×C₅₉	1	1	yes	characteristic, complemented
918	#3056	C₂×C₅₉	1	1	yes	characteristic, complemented
919	#3055	C₂×C₅₉	1	1	yes	characteristic, complemented
920	#3050	C₂×C₅₉	1	1	yes	characteristic, complemented
921	C₂×#465	C₂×C₅₉	1	1	yes	characteristic, complemented
922	C₂×#435	C₂×C₅₉	1	1	yes	characteristic, complemented
923	C₂×C₅₉	—	2	2	no	—
924	C₂×C₅₉	—	2	2	no	—
925	C₂×C₅₉	—	4	1	no	—
926	C₂×C₅₉	—	4	1	no	—
927	C₂×C₅₉	—	4	1	no	—
928	C₂×C₅₉	—	8	1	no	—
929	C₂×C₅₉	—	8	1	no	—
930	C₂×C₅₉	—	8	1	no	—
931	C₂×C₅₉	—	8	1	no	—
932	C₂×C₅₉	#3496	1	1	yes	characteristic
933	C₂×C₅₉	C₂×#575	1	1	yes	characteristic
934	C₂×C₅₉	C₂×#577	1	1	yes	characteristic
935	C₂×#137	C₂²×C₅₉	1	1	yes	characteristic, complemented
936	C₂×AGL(1,ℤ/8)	C₂²×C₅₉	1	1	yes	characteristic, complemented
937	C₂×#135	C₂²×C₅₉	1	1	yes	characteristic, complemented
938	C₂²×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
939	C₂²×M₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
940	C₂³×C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
941	#556	C₂²×C₅₉	1	1	yes	characteristic, complemented
942	#555	C₂²×C₅₉	1	1	yes	characteristic
943	#554	—	2	1	no	—
944	#554	C₂²×C₅₉	1	1	yes	characteristic
945	#553	—	2	1	no	—
946	#553	C₂²×C₅₉	1	1	yes	characteristic
947	#553	C₂²×C₅₉	1	1	yes	characteristic
948	#552	C₂²×C₅₉	1	1	yes	characteristic
949	#552	C₂²×C₅₉	1	1	yes	characteristic, complemented
950	#551	—	2	1	no	—
951	#551	—	2	1	no	—
952	#550	C₂²×C₅₉	1	1	yes	characteristic
953	D₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
954	#548	C₂²×C₅₉	1	1	yes	characteristic
955	#548	C₂²×C₅₉	1	1	yes	characteristic, complemented
956	#547	C₂²×C₅₉	1	1	yes	characteristic, complemented
957	#547	C₂²×C₅₉	1	1	yes	characteristic, complemented
958	#546	—	2	1	no	—
959	#546	—	2	1	no	—
960	#546	—	2	1	no	—
961	#546	C₂²×C₅₉	1	1	yes	characteristic
962	#546	C₂²×C₅₉	1	1	yes	characteristic
963	D₄²	—	2	1	no	—
964	D₄²	C₂²×C₅₉	1	1	yes	characteristic
965	#542	—	2	1	no	—
966	#540	—	2	1	no	—
967	#539	—	2	1	no	—
968	#539	—	2	1	no	—
969	#538	—	2	1	no	—
970	#538	—	2	1	no	—
971	#533	C₂²×C₅₉	1	1	yes	characteristic, complemented
972	#532	C₂²×C₅₉	1	1	yes	characteristic
973	#529	C₂²×C₅₉	1	1	yes	characteristic
974	#529	C₂²×C₅₉	1	1	yes	characteristic, complemented
975	#525	C₂²×C₅₉	1	1	yes	characteristic
976	#525	C₂²×C₅₉	1	1	yes	characteristic
977	#525	C₂²×C₅₉	1	1	yes	characteristic, complemented
978	#525	C₂²×C₅₉	1	1	yes	characteristic, complemented
979	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
980	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
981	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
982	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
983	#520	—	2	1	no	—
984	#518	—	2	1	no	—
985	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
986	#501	C₂²×C₅₉	1	1	yes	characteristic, complemented
987	#501	C₂²×C₅₉	1	1	yes	characteristic, complemented
988	#497	C₂²×C₅₉	1	1	yes	characteristic, complemented
989	#496	C₂²×C₅₉	1	1	yes	characteristic, complemented
990	#491	C₂²×C₅₉	1	1	yes	characteristic, complemented
991	#490	C₂²×C₅₉	1	1	yes	characteristic, complemented
992	#489	C₂²×C₅₉	1	1	yes	characteristic, complemented
993	#489	C₂²×C₅₉	1	1	yes	characteristic, complemented
994	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
995	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
996	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
997	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
998	#484	C₂²×C₅₉	1	1	yes	characteristic, complemented
999	#483	C₂²×C₅₉	1	1	yes	characteristic, complemented
1000	#483	C₂²×C₅₉	1	1	yes	characteristic, complemented
1001	#483	C₂²×C₅₉	1	1	yes	characteristic, complemented
1002	#482	C₂²×C₅₉	1	1	yes	characteristic, complemented
1003	#482	C₂²×C₅₉	1	1	yes	characteristic, complemented
1004	#482	C₂²×C₅₉	1	1	yes	characteristic, complemented
1005	#482	C₂²×C₅₉	1	1	yes	characteristic, complemented
1006	#481	C₂²×C₅₉	1	1	yes	characteristic, complemented
1007	#481	C₂²×C₅₉	1	1	yes	characteristic, complemented
1008	#481	C₂²×C₅₉	1	1	yes	characteristic, complemented
1009	#480	C₂²×C₅₉	1	1	yes	characteristic, complemented
1010	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
1011	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
1012	#478	C₂²×C₅₉	1	1	yes	characteristic, complemented
1013	#478	C₂²×C₅₉	1	1	yes	characteristic, complemented
1014	#476	C₂²×C₅₉	1	1	yes	characteristic, complemented
1015	#476	C₂²×C₅₉	1	1	yes	characteristic, complemented
1016	#475	C₂²×C₅₉	1	1	yes	characteristic, complemented
1017	#475	C₂²×C₅₉	1	1	yes	characteristic, complemented
1018	#470	C₂²×C₅₉	1	1	yes	characteristic, complemented
1019	#470	C₂²×C₅₉	1	1	yes	characteristic, complemented
1020	#469	C₂²×C₅₉	1	1	yes	characteristic, complemented
1021	#469	C₂²×C₅₉	1	1	yes	characteristic, complemented
1022	#468	C₂²×C₅₉	1	1	yes	characteristic, complemented
1023	#468	C₂²×C₅₉	1	1	yes	characteristic, complemented
1024	#468	C₂²×C₅₉	1	1	yes	characteristic, complemented
1025	#468	C₂²×C₅₉	1	1	yes	characteristic, complemented
1026	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
1027	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
1028	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
1029	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
1030	#466	C₂²×C₅₉	1	1	yes	characteristic
1031	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
1032	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
1033	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
1034	#465	C₂²×C₅₉	1	1	yes	characteristic
1035	#465	C₂²×C₅₉	1	1	yes	characteristic
1036	#465	C₂²×C₅₉	1	1	yes	characteristic
1037	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1038	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1039	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1040	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1041	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1042	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1043	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1044	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1045	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1046	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1047	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1048	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1049	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
1050	#464	C₂²×C₅₉	1	1	yes	characteristic, complemented
1051	#464	C₂²×C₅₉	1	1	yes	characteristic, complemented
1052	#463	C₂²×C₅₉	1	1	yes	characteristic, complemented
1053	#463	C₂²×C₅₉	1	1	yes	characteristic, complemented
1054	#461	C₂²×C₅₉	1	1	yes	characteristic, complemented
1055	#461	C₂²×C₅₉	1	1	yes	characteristic, complemented
1056	#460	C₂²×C₅₉	1	1	yes	characteristic, complemented
1057	#460	C₂²×C₅₉	1	1	yes	characteristic, complemented
1058	#452	C₂²×C₅₉	1	1	yes	characteristic, complemented
1059	#452	C₂²×C₅₉	1	1	yes	characteristic, complemented
1060	#452	C₂²×C₅₉	1	1	yes	characteristic, complemented
1061	#452	C₂²×C₅₉	1	1	yes	characteristic, complemented
1062	#451	C₂²×C₅₉	1	1	yes	characteristic, complemented
1063	#450	C₂²×C₅₉	1	1	yes	characteristic, complemented
1064	#450	C₂²×C₅₉	1	1	yes	characteristic, complemented
1065	#450	C₂²×C₅₉	1	1	yes	characteristic, complemented
1066	#449	C₂²×C₅₉	1	1	yes	characteristic, complemented
1067	#449	C₂²×C₅₉	1	1	yes	characteristic, complemented
1068	#449	C₂²×C₅₉	1	1	yes	characteristic, complemented
1069	#449	C₂²×C₅₉	1	1	yes	characteristic, complemented
1070	#448	C₂²×C₅₉	1	1	yes	characteristic, complemented
1071	#448	C₂²×C₅₉	1	1	yes	characteristic, complemented
1072	#448	C₂²×C₅₉	1	1	yes	characteristic, complemented
1073	#447	C₂²×C₅₉	1	1	yes	characteristic, complemented
1074	#442	C₂²×C₅₉	1	1	yes	characteristic, complemented
1075	#442	C₂²×C₅₉	1	1	yes	characteristic, complemented
1076	#441	C₂²×C₅₉	1	1	yes	characteristic, complemented
1077	#441	C₂²×C₅₉	1	1	yes	characteristic, complemented
1078	#440	C₂²×C₅₉	1	1	yes	characteristic, complemented
1079	#440	C₂²×C₅₉	1	1	yes	characteristic, complemented
1080	#440	C₂²×C₅₉	1	1	yes	characteristic, complemented
1081	#440	C₂²×C₅₉	1	1	yes	characteristic, complemented
1082	#435	C₂²×C₅₉	1	1	yes	characteristic
1083	#435	C₂²×C₅₉	1	1	yes	characteristic
1084	#435	C₂²×C₅₉	1	1	yes	characteristic, complemented
1085	#435	C₂²×C₅₉	1	1	yes	characteristic, complemented
1086	#435	C₂²×C₅₉	1	1	yes	characteristic, complemented
1087	#435	C₂²×C₅₉	1	1	yes	characteristic, complemented
1088	#435	C₂²×C₅₉	1	1	yes	characteristic, complemented
1089	#435	C₂²×C₅₉	1	1	yes	characteristic, complemented
1090	#428	C₂²×C₅₉	1	1	yes	characteristic, complemented
1091	#428	C₂²×C₅₉	1	1	yes	characteristic, complemented
1092	#427	C₂²×C₅₉	1	1	yes	characteristic, complemented
1093	C₂×#106	C₂²×C₅₉	1	1	yes	characteristic, complemented
1094	C₂×C₄⋊C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
1095	#419	C₂²×C₅₉	1	1	yes	characteristic, complemented
1096	#418	C₂²×C₅₉	1	1	yes	characteristic, complemented
1097	#417	C₂²×C₅₉	1	1	yes	characteristic, complemented
1098	#417	C₂²×C₅₉	1	1	yes	characteristic, complemented
1099	#416	C₂²×C₅₉	1	1	yes	characteristic, complemented
1100	#416	C₂²×C₅₉	1	1	yes	characteristic, complemented
1101	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic, complemented
1102	C₂×#102	C₂²×C₅₉	1	1	yes	characteristic, complemented
1103	C₂×C₂²⋊C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
1104	C₂×C₂²⋊C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
1105	C₂×#97	C₂²×C₅₉	1	1	yes	characteristic, complemented
1106	C₅₉	#62256	1	1	yes	characteristic, direct product factor, Sylow
1107	C₂×#41	—	2	1	no	—
1108	C₂×#41	—	2	1	no	—
1109	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1110	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1111	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1112	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1113	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1114	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1115	C₂²×D₄	—	2	1	no	—
1116	C₂²×D₄	—	2	1	no	—
1117	C₂²×D₄	—	2	1	no	—
1118	C₂²×D₄	D₄×C₅₉	1	1	yes	characteristic
1119	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
1120	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
1121	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
1122	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
1123	#137	—	4	2	no	—
1124	AGL(1,ℤ/8)	—	4	2	no	—
1125	#135	—	4	2	no	—
1126	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1127	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1128	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1129	C₂×SD₁₆	—	4	2	no	—
1130	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1131	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1132	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1133	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1134	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1135	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1136	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1137	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1138	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1139	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1140	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1141	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1142	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1143	C₂×M₁₆	—	4	2	no	—
1144	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1145	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1146	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1147	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1148	C₂²×C₈	—	4	2	no	—
1149	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1150	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1151	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1152	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1153	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1154	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1155	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1156	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1157	C₄⋊Q₈	—	2	1	no	—
1158	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1159	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1160	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1161	#127	—	2	1	no	—
1162	#127	C₂³×C₅₉	1	1	yes	characteristic
1163	#126	—	2	1	no	—
1164	#126	—	2	1	no	—
1165	#126	—	2	1	no	—
1166	#126	—	2	1	no	—
1167	#126	—	2	1	no	—
1168	#126	—	2	1	no	—
1169	#126	—	2	1	no	—
1170	#126	—	2	1	no	—
1171	#125	—	2	1	no	—
1172	#125	—	2	1	no	—
1173	#125	—	2	1	no	—
1174	#125	—	2	1	no	—
1175	#125	C₂³×C₅₉	1	1	yes	characteristic
1176	#125	C₂³×C₅₉	1	1	yes	characteristic
1177	#124	—	2	1	no	—
1178	#124	—	2	1	no	—
1179	#124	—	2	1	no	—
1180	#124	—	2	1	no	—
1181	#124	—	2	1	no	—
1182	#124	—	2	1	no	—
1183	#124	C₂³×C₅₉	1	1	yes	characteristic
1184	#124	C₂³×C₅₉	1	1	yes	characteristic
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	2	1	no	—
1198	#123	—	2	1	no	—
1199	#123	—	2	1	no	—
1200	#123	—	2	1	no	—
1201	C₂²⋊Q₈	—	2	1	no	—
1202	C₂²⋊Q₈	—	2	1	no	—
1203	C₂²⋊Q₈	—	2	1	no	—
1204	C₂²⋊Q₈	—	2	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	2	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1214	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1215	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1216	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1217	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1218	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1222	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1223	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1224	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	C₂³×C₅₉	1	1	yes	characteristic
1242	#121	C₂³×C₅₉	1	1	yes	characteristic
1243	#121	C₂³×C₅₉	1	1	yes	characteristic
1244	#121	C₂³×C₅₉	1	1	yes	characteristic
1245	#121	C₂³×C₅₉	1	1	yes	characteristic
1246	#121	C₂³×C₅₉	1	1	yes	characteristic
1247	#121	C₂³×C₅₉	1	1	yes	characteristic
1248	#121	C₂³×C₅₉	1	1	yes	characteristic
1249	#121	C₂³×C₅₉	1	1	yes	characteristic
1250	#121	C₂³×C₅₉	1	1	yes	characteristic
1251	#121	C₂³×C₅₉	1	1	yes	characteristic
1252	#121	C₂³×C₅₉	1	1	yes	characteristic
1253	#120	—	2	1	no	—
1254	#120	—	2	1	no	—
1255	#120	—	2	1	no	—
1256	#120	—	2	1	no	—
1257	#120	—	2	1	no	—
1258	#120	—	2	1	no	—
1259	#120	—	2	1	no	—
1260	#120	—	2	1	no	—
1261	C₄×Q₈	—	2	1	no	—
1262	C₄×Q₈	—	2	1	no	—
1263	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1264	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1265	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1266	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1267	C₄×D₄	—	2	1	no	—
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	2	1	no	—
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	—	2	1	no	—
1282	C₄×D₄	—	2	1	no	—
1283	C₄×D₄	—	2	1	no	—
1284	C₄×D₄	—	2	1	no	—
1285	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1286	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1287	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1288	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1289	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1290	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1291	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1292	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1293	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1294	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1295	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1296	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1297	#117	—	2	1	no	—
1298	#117	—	2	1	no	—
1299	#117	—	2	1	no	—
1300	#117	—	2	1	no	—
1301	#117	—	2	1	no	—
1302	#117	—	2	1	no	—
1303	#117	C₂³×C₅₉	1	1	yes	characteristic
1304	#117	C₂³×C₅₉	1	1	yes	characteristic
1305	#117	C₂³×C₅₉	1	1	yes	characteristic
1306	#117	C₂³×C₅₉	1	1	yes	characteristic
1307	C₂×C₄⋊C₄	—	2	1	no	—
1308	C₂×C₄⋊C₄	—	2	1	no	—
1309	C₂×C₄⋊C₄	—	2	1	no	—
1310	C₂×C₄⋊C₄	D₄×C₅₉	1	1	yes	characteristic
1311	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1312	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1313	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1314	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1315	C₂×C₂²⋊C₄	—	2	1	no	—
1316	C₂×C₂²⋊C₄	—	2	1	no	—
1317	C₂×C₂²⋊C₄	—	2	1	no	—
1318	C₂×C₂²⋊C₄	—	2	1	no	—
1319	C₂×C₂²⋊C₄	—	2	1	no	—
1320	C₂×C₂²⋊C₄	—	2	1	no	—
1321	C₂×C₂²⋊C₄	D₄×C₅₉	1	1	yes	characteristic
1322	C₂×C₂²⋊C₄	D₄×C₅₉	1	1	yes	characteristic
1323	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1324	#107	C₂³×C₅₉	1	1	yes	characteristic
1325	#107	C₂³×C₅₉	1	1	yes	characteristic
1326	#107	C₂³×C₅₉	1	1	yes	characteristic
1327	#107	C₂³×C₅₉	1	1	yes	characteristic
1328	#107	C₂³×C₅₉	1	1	yes	characteristic
1329	#107	C₂³×C₅₉	1	1	yes	characteristic
1330	#106	C₂³×C₅₉	1	1	yes	characteristic
1331	#106	C₂³×C₅₉	1	1	yes	characteristic
1332	#106	C₂³×C₅₉	1	1	yes	characteristic
1333	#106	C₂³×C₅₉	1	1	yes	characteristic
1334	#106	C₂³×C₅₉	1	1	yes	characteristic
1335	#106	C₂³×C₅₉	1	1	yes	characteristic
1336	#106	C₂³×C₅₉	1	1	yes	characteristic
1337	#106	C₂³×C₅₉	1	1	yes	characteristic
1338	#106	C₂³×C₅₉	1	1	yes	characteristic
1339	#106	C₂³×C₅₉	1	1	yes	characteristic
1340	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1341	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1342	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1343	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1344	#103	C₂³×C₅₉	1	1	yes	characteristic
1345	#103	C₂³×C₅₉	1	1	yes	characteristic
1346	#103	C₂³×C₅₉	1	1	yes	characteristic
1347	#103	C₂³×C₅₉	1	1	yes	characteristic
1348	#103	C₂³×C₅₉	1	1	yes	characteristic
1349	#103	C₂³×C₅₉	1	1	yes	characteristic
1350	#103	C₂³×C₅₉	1	1	yes	characteristic
1351	#103	C₂³×C₅₉	1	1	yes	characteristic
1352	#103	C₂³×C₅₉	1	1	yes	characteristic
1353	#103	C₂³×C₅₉	1	1	yes	characteristic
1354	#103	C₂³×C₅₉	1	1	yes	characteristic
1355	#103	C₂³×C₅₉	1	1	yes	characteristic
1356	#103	C₂³×C₅₉	1	1	yes	characteristic
1357	#103	C₂³×C₅₉	1	1	yes	characteristic
1358	#103	C₂³×C₅₉	1	1	yes	characteristic
1359	#103	C₂³×C₅₉	1	1	yes	characteristic
1360	#102	C₂³×C₅₉	1	1	yes	characteristic
1361	#102	C₂³×C₅₉	1	1	yes	characteristic
1362	#102	C₂³×C₅₉	1	1	yes	characteristic
1363	#102	C₂³×C₅₉	1	1	yes	characteristic
1364	#102	C₂³×C₅₉	1	1	yes	characteristic
1365	#102	C₂³×C₅₉	1	1	yes	characteristic
1366	#102	C₂³×C₅₉	1	1	yes	characteristic
1367	#102	C₂³×C₅₉	1	1	yes	characteristic
1368	#102	C₂³×C₅₉	1	1	yes	characteristic
1369	#102	C₂³×C₅₉	1	1	yes	characteristic
1370	#102	C₂³×C₅₉	1	1	yes	characteristic
1371	#102	C₂³×C₅₉	1	1	yes	characteristic
1372	#102	C₂³×C₅₉	1	1	yes	characteristic
1373	#102	C₂³×C₅₉	1	1	yes	characteristic
1374	#102	C₂³×C₅₉	1	1	yes	characteristic
1375	#102	C₂³×C₅₉	1	1	yes	characteristic
1376	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1377	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1378	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1379	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1380	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1381	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1382	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1383	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1384	#97	C₂³×C₅₉	1	1	yes	characteristic
1385	#97	C₂³×C₅₉	1	1	yes	characteristic
1386	#97	C₂³×C₅₉	1	1	yes	characteristic
1387	#97	C₂³×C₅₉	1	1	yes	characteristic
1388	C₂⁴	—	2	1	no	—
1389	C₂⁴	—	2	1	no	—
1390	C₂⁴	C₂×D₄×C₅₉	1	1	yes	characteristic
1391	C₂⁴	C₂×D₄×C₅₉	1	1	yes	characteristic
1392	#41	—	4	1	no	—
1393	#41	—	4	1	no	—
1394	#41	—	4	1	no	—
1395	#41	—	4	1	no	—
1396	#41	—	4	1	no	—
1397	#41	—	4	1	no	—
1398	#41	—	4	1	no	—
1399	#41	—	4	1	no	—
1400	#41	—	4	4	no	—
1401	#41	—	8	2	no	—
1402	C₂×Q₈	—	2	1	no	—
1403	C₂×Q₈	—	2	1	no	—
1404	C₂×Q₈	—	2	1	no	—
1405	C₂×Q₈	—	2	1	no	—
1406	C₂×Q₈	—	4	1	no	—
1407	C₂×Q₈	—	4	1	no	—
1408	C₂×Q₈	—	4	1	no	—
1409	C₂×Q₈	—	4	1	no	—
1410	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1411	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1412	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1413	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	4	1	no	—
1435	C₂×D₄	—	4	1	no	—
1436	C₂×D₄	—	4	1	no	—
1437	C₂×D₄	—	4	1	no	—
1438	C₂×D₄	—	4	2	no	—
1439	C₂×D₄	—	4	4	no	—
1440	C₂×D₄	—	8	2	no	—
1441	C₂×D₄	—	8	2	no	—
1442	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1443	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1444	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1445	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1446	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1447	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1448	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1449	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	2	1	no	—
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	2	1	no	—
1457	C₂²×C₄	—	2	1	no	—
1458	C₂²×C₄	—	2	1	no	—
1459	C₂²×C₄	—	2	1	no	—
1460	C₂²×C₄	—	2	1	no	—
1461	C₂²×C₄	—	2	1	no	—
1462	C₂²×C₄	—	2	1	no	—
1463	C₂²×C₄	—	2	1	no	—
1464	C₂²×C₄	—	4	1	no	—
1465	C₂²×C₄	—	4	1	no	—
1466	C₂²×C₄	—	4	1	no	—
1467	C₂²×C₄	—	4	1	no	—
1468	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1469	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1470	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1471	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1472	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1473	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1474	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1475	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1476	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1477	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1478	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1479	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1480	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1481	Q₁₆	—	2	2	no	—
1482	Q₁₆	—	4	1	no	—
1483	Q₁₆	—	4	1	no	—
1484	SD₁₆	—	2	2	no	—
1485	SD₁₆	—	2	2	no	—
1486	SD₁₆	—	4	1	no	—
1487	SD₁₆	—	4	1	no	—
1488	SD₁₆	—	4	1	no	—
1489	SD₁₆	—	4	1	no	—
1490	SD₁₆	—	4	1	no	—
1491	SD₁₆	—	4	1	no	—
1492	SD₁₆	—	4	1	no	—
1493	SD₁₆	—	4	1	no	—
1494	D₈	—	2	2	no	—
1495	D₈	—	4	1	no	—
1496	D₈	—	4	1	no	—
1497	M₁₆	—	2	2	no	—
1498	M₁₆	—	2	2	no	—
1499	M₁₆	—	4	1	no	—
1500	M₁₆	—	4	1	no	—
1501	C₂×C₈	—	2	2	no	—
1502	C₂×C₈	—	2	2	no	—
1503	C₂×C₈	—	2	2	no	—
1504	C₂×C₈	—	4	1	no	—
1505	C₂×C₈	—	4	1	no	—
1506	C₂×C₈	—	4	1	no	—
1507	C₂×C₈	—	4	1	no	—
1508	C₂×C₈	—	4	1	no	—
1509	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1510	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1511	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1512	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1513	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1514	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1515	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1516	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	2	1	no	—
1530	C₄⋊C₄	—	2	1	no	—
1531	C₄⋊C₄	—	2	1	no	—
1532	C₄⋊C₄	—	2	1	no	—
1533	C₄⋊C₄	—	2	1	no	—
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	2	1	no	—
1542	C₄⋊C₄	—	2	1	no	—
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1546	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1547	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1548	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1549	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1550	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1551	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1552	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1553	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1554	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1555	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1556	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1594	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1595	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1596	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1597	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1598	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1599	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1600	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1601	C₄²	—	2	1	no	—
1602	C₄²	—	2	1	no	—
1603	C₄²	—	2	1	no	—
1604	C₄²	—	2	1	no	—
1605	C₄²	—	2	1	no	—
1606	C₄²	—	2	1	no	—
1607	C₄²	—	2	1	no	—
1608	C₄²	—	2	1	no	—
1609	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1610	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1611	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1612	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1613	C₂³	—	2	2	no	—
1614	C₂³	—	2	2	no	—
1615	C₂³	—	2	2	no	—
1616	C₂³	—	2	1	no	—
1617	C₂³	—	2	1	no	—
1618	C₂³	—	2	1	no	—
1619	C₂³	—	2	1	no	—
1620	C₂³	—	4	1	no	—
1621	C₂³	—	4	1	no	—
1622	C₂³	—	4	1	no	—
1623	C₂³	—	4	2	no	—
1624	C₂³	—	4	2	no	—
1625	C₂³	—	8	1	no	—
1626	C₂³	—	8	1	no	—
1627	C₂³	—	8	1	no	—
1628	C₂³	—	8	1	no	—
1629	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1630	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1631	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1632	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1633	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1634	Q₈	—	2	1	no	—
1635	Q₈	—	2	1	no	—
1636	Q₈	—	2	1	no	—
1637	Q₈	—	2	1	no	—
1638	Q₈	—	2	1	no	—
1639	Q₈	—	2	1	no	—
1640	Q₈	—	2	1	no	—
1641	Q₈	—	2	1	no	—
1642	Q₈	—	4	2	no	—
1643	Q₈	—	8	1	no	—
1644	Q₈	—	8	1	no	—
1645	Q₈	—	8	1	no	—
1646	D₄	—	2	2	no	—
1647	D₄	—	2	2	no	—
1648	D₄	—	2	1	no	—
1649	D₄	—	2	1	no	—
1650	D₄	—	2	1	no	—
1651	D₄	—	2	1	no	—
1652	D₄	—	2	1	no	—
1653	D₄	—	2	1	no	—
1654	D₄	—	2	1	no	—
1655	D₄	—	2	1	no	—
1656	D₄	—	4	1	no	—
1657	D₄	—	4	1	no	—
1658	D₄	—	4	2	no	—
1659	D₄	—	4	2	no	—
1660	D₄	—	4	2	no	—
1661	D₄	—	4	2	no	—
1662	D₄	—	4	2	no	—
1663	D₄	—	4	2	no	—
1664	D₄	—	4	2	no	—
1665	D₄	—	4	2	no	—
1666	D₄	—	4	2	no	—
1667	D₄	—	8	1	no	—
1668	D₄	—	8	1	no	—
1669	D₄	—	8	1	no	—
1670	D₄	—	8	1	no	—
1671	D₄	—	8	1	no	—
1672	D₄	—	8	1	no	—
1673	D₄	—	8	1	no	—
1674	D₄	—	8	1	no	—
1675	D₄	—	8	1	no	—
1676	D₄	—	8	1	no	—
1677	D₄	—	8	1	no	—
1678	C₂×C₄	—	2	2	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	4	1	no	—
1702	C₂×C₄	—	4	1	no	—
1703	C₂×C₄	—	4	1	no	—
1704	C₂×C₄	—	4	1	no	—
1705	C₂×C₄	—	4	1	no	—
1706	C₂×C₄	—	4	1	no	—
1707	C₂×C₄	—	4	1	no	—
1708	C₂×C₄	—	4	2	no	—
1709	C₂×C₄	—	4	2	no	—
1710	C₂×C₄	—	4	2	no	—
1711	C₂×C₄	—	4	2	no	—
1712	C₂×C₄	—	8	1	no	—
1713	C₂×C₄	—	8	1	no	—
1714	C₂×C₄	—	8	1	no	—
1715	C₂×C₄	—	8	1	no	—
1716	C₂×C₄	—	8	1	no	—
1717	C₂×C₄	—	8	1	no	—
1718	C₂×C₄	—	8	1	no	—
1719	C₂×C₄	—	8	1	no	—
1720	C₂×C₄	—	8	1	no	—
1721	C₂×C₄	—	8	1	no	—
1722	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1723	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1724	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1725	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1726	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1727	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1728	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1729	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1730	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1731	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1732	C₈	—	2	1	no	—
1733	C₈	—	2	1	no	—
1734	C₈	—	2	1	no	—
1735	C₈	—	2	1	no	—
1736	C₈	—	2	1	no	—
1737	C₈	—	2	1	no	—
1738	C₈	—	2	1	no	—
1739	C₈	H(5,𝔽₂)×C₅₉	1	2	yes	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	1	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	4	4	no	—
1754	C₂²	—	4	1	no	—
1755	C₂²	—	4	1	no	—
1756	C₂²	—	4	1	no	—
1757	C₂²	—	4	1	no	—
1758	C₂²	—	4	1	no	—
1759	C₂²	—	4	1	no	—
1760	C₂²	—	4	1	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	8	2	no	—
1767	C₂²	—	16	2	no	—
1768	C₂²	—	16	2	no	—
1769	C₂²	C₅₉×#575	1	2	yes	—
1770	C₂²	C₅₉×#577	1	2	yes	—
1771	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	4	1	no	—
1782	C₄	—	4	1	no	—
1783	C₄	—	4	1	no	—
1784	C₄	—	4	1	no	—
1785	C₄	—	4	1	no	—
1786	C₄	—	4	1	no	—
1787	C₄	—	4	1	no	—
1788	C₄	—	4	1	no	—
1789	C₄	—	4	1	no	—
1790	C₄	—	4	1	no	—
1791	C₄	—	4	1	no	—
1792	C₄	—	4	1	no	—
1793	C₄	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1794	C₄	C₅₉×#585	1	1	yes	characteristic
1795	C₂	—	2	2	no	—
1796	C₂	—	2	2	no	—
1797	C₂	—	4	1	no	—
1798	C₂	—	4	1	no	—
1799	C₂	—	4	1	no	—
1800	C₂	—	8	1	no	—
1801	C₂	—	8	1	no	—
1802	C₂	—	8	1	no	—
1803	C₂	—	8	1	no	—
1804	C₂	C₅₉×#3496	1	1	yes	characteristic
1805	C₂	C₂×C₅₉×#575	1	1	yes	characteristic
1806	C₂	C₂×C₅₉×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅₉ ◁ C₂×C₄×D₄×C₅₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₅₉×#3520	C₂	semidirect
2. C₅₉×#3519	C₂	semidirect
3. C₅₉×#3350	C₂	semidirect
4. C₅₉×#3348	C₂	semidirect
5. C₅₉×#3345	C₂	semidirect
6. C₅₉×#3344	C₂	semidirect
7. C₅₉×#3321	C₂	semidirect
8. C₅₉×#3320	C₂	semidirect
9. C₅₉×#3317	C₂	semidirect
10. C₅₉×#3316	C₂	semidirect
11. C₅₉×#3311	C₂	semidirect
12. C₅₉×#3310	C₂	semidirect
13. C₅₉×#3307	C₂	semidirect
14. C₅₉×#3306	C₂	semidirect
15. C₅₉×#3271	C₂	semidirect
16. C₅₉×#3267	C₂	semidirect
17. C₅₉×#3266	C₂	semidirect
18. C₅₉×#3265	C₂	semidirect
19. C₅₉×#3250	C₂	semidirect
20. C₅₉×#3246	C₂	semidirect
21. C₅₉×#3191	C₂	semidirect
22. C₅₉×#3190	C₂	semidirect
23. C₅₉×#3188	C₂	semidirect
24. C₅₉×#3187	C₂	semidirect
25. C₅₉×#3181	C₂	semidirect
26. C₅₉×#3180	C₂	semidirect
27. C₅₉×#3056	C₂	semidirect
28. C₅₉×#3055	C₂	semidirect
29. C₅₉×#3050	C₂	semidirect
30. C₂×C₅₉×#465	C₂	semidirect
31. C₂×C₅₉×#435	C₂	semidirect
32. C₂×#137×C₅₉	C₂²	semidirect
33. C₂×AGL(1,ℤ/8)×C₅₉	C₂²	semidirect
34. C₂×#135×C₅₉	C₂²	semidirect
35. C₂²×SD₁₆×C₅₉	C₂²	semidirect
36. C₂²×M₁₆×C₅₉	C₂²	semidirect
37. C₂³×C₈×C₅₉	C₂²	semidirect
38. C₅₉×#556	C₂²	semidirect
46. C₅₉×#552	C₂²	semidirect
50. D₄×Q₈×C₅₉	C₂²	semidirect
52. C₅₉×#548	C₂²	semidirect
53. C₅₉×#547	C₂²	semidirect
54. C₅₉×#547	C₂²	semidirect
68. C₅₉×#533	C₂²	semidirect
71. C₅₉×#529	C₂²	semidirect
74. C₅₉×#525	C₂²	semidirect
75. C₅₉×#525	C₂²	semidirect
76. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
77. C₂×C₂²⋊Q₈×C₅₉	C₂²	semidirect
83. C₅₉×#501	C₂²	semidirect
84. C₅₉×#501	C₂²	semidirect
85. C₅₉×#497	C₂²	semidirect
86. C₅₉×#496	C₂²	semidirect
87. C₅₉×#491	C₂²	semidirect
88. C₅₉×#490	C₂²	semidirect
89. C₅₉×#489	C₂²	semidirect
90. C₅₉×#489	C₂²	semidirect
91. C₅₉×#485	C₂²	semidirect
92. C₅₉×#485	C₂²	semidirect
93. C₅₉×#485	C₂²	semidirect
94. C₅₉×#485	C₂²	semidirect
95. C₅₉×#484	C₂²	semidirect
96. C₅₉×#483	C₂²	semidirect
97. C₅₉×#483	C₂²	semidirect
98. C₅₉×#483	C₂²	semidirect
99. C₅₉×#482	C₂²	semidirect
100. C₅₉×#482	C₂²	semidirect
101. C₅₉×#482	C₂²	semidirect
102. C₅₉×#482	C₂²	semidirect
103. C₅₉×#481	C₂²	semidirect
104. C₅₉×#481	C₂²	semidirect
105. C₅₉×#481	C₂²	semidirect
106. C₅₉×#480	C₂²	semidirect
107. C₅₉×#479	C₂²	semidirect
108. C₅₉×#479	C₂²	semidirect
109. C₅₉×#478	C₂²	semidirect
110. C₅₉×#478	C₂²	semidirect
111. C₅₉×#476	C₂²	semidirect
112. C₅₉×#476	C₂²	semidirect
113. C₅₉×#475	C₂²	semidirect
114. C₅₉×#475	C₂²	semidirect
115. C₅₉×#470	C₂²	semidirect
116. C₅₉×#470	C₂²	semidirect
117. C₅₉×#469	C₂²	semidirect
118. C₅₉×#469	C₂²	semidirect
119. C₅₉×#468	C₂²	semidirect
120. C₅₉×#468	C₂²	semidirect
121. C₅₉×#468	C₂²	semidirect
122. C₅₉×#468	C₂²	semidirect
123. C₅₉×#467	C₂²	semidirect
124. C₅₉×#467	C₂²	semidirect
125. C₅₉×#467	C₂²	semidirect
126. C₅₉×#467	C₂²	semidirect
128. C₅₉×#466	C₂²	semidirect
129. C₅₉×#466	C₂²	semidirect
130. C₅₉×#466	C₂²	semidirect
134. C₅₉×#465	C₂²	semidirect
135. C₅₉×#465	C₂²	semidirect
136. C₅₉×#465	C₂²	semidirect
137. C₅₉×#465	C₂²	semidirect
138. C₅₉×#465	C₂²	semidirect
139. C₅₉×#465	C₂²	semidirect
140. C₅₉×#465	C₂²	semidirect
141. C₅₉×#465	C₂²	semidirect
142. C₅₉×#465	C₂²	semidirect
143. C₅₉×#465	C₂²	semidirect
144. C₅₉×#465	C₂²	semidirect
145. C₅₉×#465	C₂²	semidirect
146. C₅₉×#465	C₂²	semidirect
147. C₅₉×#464	C₂²	semidirect
148. C₅₉×#464	C₂²	semidirect
149. C₅₉×#463	C₂²	semidirect
150. C₅₉×#463	C₂²	semidirect
151. C₅₉×#461	C₂²	semidirect
152. C₅₉×#461	C₂²	semidirect
153. C₅₉×#460	C₂²	semidirect
154. C₅₉×#460	C₂²	semidirect
155. C₅₉×#452	C₂²	semidirect
156. C₅₉×#452	C₂²	semidirect
157. C₅₉×#452	C₂²	semidirect
158. C₅₉×#452	C₂²	semidirect
159. C₅₉×#451	C₂²	semidirect
160. C₅₉×#450	C₂²	semidirect
161. C₅₉×#450	C₂²	semidirect
162. C₅₉×#450	C₂²	semidirect
163. C₅₉×#449	C₂²	semidirect
164. C₅₉×#449	C₂²	semidirect
165. C₅₉×#449	C₂²	semidirect
166. C₅₉×#449	C₂²	semidirect
167. C₅₉×#448	C₂²	semidirect
168. C₅₉×#448	C₂²	semidirect
169. C₅₉×#448	C₂²	semidirect
170. C₅₉×#447	C₂²	semidirect
171. C₅₉×#442	C₂²	semidirect
172. C₅₉×#442	C₂²	semidirect
173. C₅₉×#441	C₂²	semidirect
174. C₅₉×#441	C₂²	semidirect
175. C₅₉×#440	C₂²	semidirect
176. C₅₉×#440	C₂²	semidirect
177. C₅₉×#440	C₂²	semidirect
178. C₅₉×#440	C₂²	semidirect
181. C₅₉×#435	C₂²	semidirect
182. C₅₉×#435	C₂²	semidirect
183. C₅₉×#435	C₂²	semidirect
184. C₅₉×#435	C₂²	semidirect
185. C₅₉×#435	C₂²	semidirect
186. C₅₉×#435	C₂²	semidirect
187. C₅₉×#428	C₂²	semidirect
188. C₅₉×#428	C₂²	semidirect
189. C₅₉×#427	C₂²	semidirect
190. C₂×#106×C₅₉	C₂²	semidirect
191. C₂×C₄⋊C₈×C₅₉	C₂²	semidirect
192. C₅₉×#419	C₂²	semidirect
193. C₅₉×#418	C₂²	semidirect
194. C₅₉×#417	C₂²	semidirect
195. C₅₉×#417	C₂²	semidirect
196. C₅₉×#416	C₂²	semidirect
197. C₅₉×#416	C₂²	semidirect
198. C₂×#103×C₅₉	C₂²	semidirect
199. C₂×#102×C₅₉	C₂²	semidirect
200. C₂×C₂²⋊C₈×C₅₉	C₂²	semidirect
201. C₂×C₂²⋊C₈×C₅₉	C₂²	semidirect
202. C₂×#97×C₅₉	C₂²	semidirect
836. #62256	C₅₉	direct (N × H)
892. #3520	C₂×C₅₉	semidirect
893. #3519	C₂×C₅₉	semidirect
894. #3350	C₂×C₅₉	semidirect
895. #3348	C₂×C₅₉	semidirect
896. #3345	C₂×C₅₉	semidirect
897. #3344	C₂×C₅₉	semidirect
898. #3321	C₂×C₅₉	semidirect
899. #3320	C₂×C₅₉	semidirect
900. #3317	C₂×C₅₉	semidirect
901. #3316	C₂×C₅₉	semidirect
902. #3311	C₂×C₅₉	semidirect
903. #3310	C₂×C₅₉	semidirect
904. #3307	C₂×C₅₉	semidirect
905. #3306	C₂×C₅₉	semidirect
906. #3271	C₂×C₅₉	semidirect
907. #3267	C₂×C₅₉	semidirect
908. #3266	C₂×C₅₉	semidirect
909. #3265	C₂×C₅₉	semidirect
910. #3250	C₂×C₅₉	semidirect
911. #3246	C₂×C₅₉	semidirect
912. #3191	C₂×C₅₉	semidirect
913. #3190	C₂×C₅₉	semidirect
914. #3188	C₂×C₅₉	semidirect
915. #3187	C₂×C₅₉	semidirect
916. #3181	C₂×C₅₉	semidirect
917. #3180	C₂×C₅₉	semidirect
918. #3056	C₂×C₅₉	semidirect
919. #3055	C₂×C₅₉	semidirect
920. #3050	C₂×C₅₉	semidirect
921. C₂×#465	C₂×C₅₉	semidirect
922. C₂×#435	C₂×C₅₉	semidirect
935. C₂×#137	C₂²×C₅₉	semidirect
936. C₂×AGL(1,ℤ/8)	C₂²×C₅₉	semidirect
937. C₂×#135	C₂²×C₅₉	semidirect
938. C₂²×SD₁₆	C₂²×C₅₉	semidirect
939. C₂²×M₁₆	C₂²×C₅₉	semidirect
940. C₂³×C₈	C₂²×C₅₉	semidirect
941. #556	C₂²×C₅₉	semidirect
949. #552	C₂²×C₅₉	semidirect
953. D₄×Q₈	C₂²×C₅₉	semidirect
955. #548	C₂²×C₅₉	semidirect
956. #547	C₂²×C₅₉	semidirect
957. #547	C₂²×C₅₉	semidirect
971. #533	C₂²×C₅₉	semidirect
974. #529	C₂²×C₅₉	semidirect
977. #525	C₂²×C₅₉	semidirect
978. #525	C₂²×C₅₉	semidirect
979. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
980. C₂×C₂²⋊Q₈	C₂²×C₅₉	semidirect
986. #501	C₂²×C₅₉	semidirect
987. #501	C₂²×C₅₉	semidirect
988. #497	C₂²×C₅₉	semidirect
989. #496	C₂²×C₅₉	semidirect
990. #491	C₂²×C₅₉	semidirect
991. #490	C₂²×C₅₉	semidirect
992. #489	C₂²×C₅₉	semidirect
993. #489	C₂²×C₅₉	semidirect
994. #485	C₂²×C₅₉	semidirect
995. #485	C₂²×C₅₉	semidirect
996. #485	C₂²×C₅₉	semidirect
997. #485	C₂²×C₅₉	semidirect
998. #484	C₂²×C₅₉	semidirect
999. #483	C₂²×C₅₉	semidirect
1000. #483	C₂²×C₅₉	semidirect
1001. #483	C₂²×C₅₉	semidirect
1002. #482	C₂²×C₅₉	semidirect
1003. #482	C₂²×C₅₉	semidirect
1004. #482	C₂²×C₅₉	semidirect
1005. #482	C₂²×C₅₉	semidirect
1006. #481	C₂²×C₅₉	semidirect
1007. #481	C₂²×C₅₉	semidirect
1008. #481	C₂²×C₅₉	semidirect
1009. #480	C₂²×C₅₉	semidirect
1010. #479	C₂²×C₅₉	semidirect
1011. #479	C₂²×C₅₉	semidirect
1012. #478	C₂²×C₅₉	semidirect
1013. #478	C₂²×C₅₉	semidirect
1014. #476	C₂²×C₅₉	semidirect
1015. #476	C₂²×C₅₉	semidirect
1016. #475	C₂²×C₅₉	semidirect
1017. #475	C₂²×C₅₉	semidirect
1018. #470	C₂²×C₅₉	semidirect
1019. #470	C₂²×C₅₉	semidirect
1020. #469	C₂²×C₅₉	semidirect
1021. #469	C₂²×C₅₉	semidirect
1022. #468	C₂²×C₅₉	semidirect
1023. #468	C₂²×C₅₉	semidirect
1024. #468	C₂²×C₅₉	semidirect
1025. #468	C₂²×C₅₉	semidirect
1026. #467	C₂²×C₅₉	semidirect
1027. #467	C₂²×C₅₉	semidirect
1028. #467	C₂²×C₅₉	semidirect
1029. #467	C₂²×C₅₉	semidirect
1031. #466	C₂²×C₅₉	semidirect
1032. #466	C₂²×C₅₉	semidirect
1033. #466	C₂²×C₅₉	semidirect
1037. #465	C₂²×C₅₉	semidirect
1038. #465	C₂²×C₅₉	semidirect
1039. #465	C₂²×C₅₉	semidirect
1040. #465	C₂²×C₅₉	semidirect
1041. #465	C₂²×C₅₉	semidirect
1042. #465	C₂²×C₅₉	semidirect
1043. #465	C₂²×C₅₉	semidirect
1044. #465	C₂²×C₅₉	semidirect
1045. #465	C₂²×C₅₉	semidirect
1046. #465	C₂²×C₅₉	semidirect
1047. #465	C₂²×C₅₉	semidirect
1048. #465	C₂²×C₅₉	semidirect
1049. #465	C₂²×C₅₉	semidirect
1050. #464	C₂²×C₅₉	semidirect
1051. #464	C₂²×C₅₉	semidirect
1052. #463	C₂²×C₅₉	semidirect
1053. #463	C₂²×C₅₉	semidirect
1054. #461	C₂²×C₅₉	semidirect
1055. #461	C₂²×C₅₉	semidirect
1056. #460	C₂²×C₅₉	semidirect
1057. #460	C₂²×C₅₉	semidirect
1058. #452	C₂²×C₅₉	semidirect
1059. #452	C₂²×C₅₉	semidirect
1060. #452	C₂²×C₅₉	semidirect
1061. #452	C₂²×C₅₉	semidirect
1062. #451	C₂²×C₅₉	semidirect
1063. #450	C₂²×C₅₉	semidirect
1064. #450	C₂²×C₅₉	semidirect
1065. #450	C₂²×C₅₉	semidirect
1066. #449	C₂²×C₅₉	semidirect
1067. #449	C₂²×C₅₉	semidirect
1068. #449	C₂²×C₅₉	semidirect
1069. #449	C₂²×C₅₉	semidirect
1070. #448	C₂²×C₅₉	semidirect
1071. #448	C₂²×C₅₉	semidirect
1072. #448	C₂²×C₅₉	semidirect
1073. #447	C₂²×C₅₉	semidirect
1074. #442	C₂²×C₅₉	semidirect
1075. #442	C₂²×C₅₉	semidirect
1076. #441	C₂²×C₅₉	semidirect
1077. #441	C₂²×C₅₉	semidirect
1078. #440	C₂²×C₅₉	semidirect
1079. #440	C₂²×C₅₉	semidirect
1080. #440	C₂²×C₅₉	semidirect
1081. #440	C₂²×C₅₉	semidirect
1084. #435	C₂²×C₅₉	semidirect
1085. #435	C₂²×C₅₉	semidirect
1086. #435	C₂²×C₅₉	semidirect
1087. #435	C₂²×C₅₉	semidirect
1088. #435	C₂²×C₅₉	semidirect
1089. #435	C₂²×C₅₉	semidirect
1090. #428	C₂²×C₅₉	semidirect
1091. #428	C₂²×C₅₉	semidirect
1092. #427	C₂²×C₅₉	semidirect
1093. C₂×#106	C₂²×C₅₉	semidirect
1094. C₂×C₄⋊C₈	C₂²×C₅₉	semidirect
1095. #419	C₂²×C₅₉	semidirect
1096. #418	C₂²×C₅₉	semidirect
1097. #417	C₂²×C₅₉	semidirect
1098. #417	C₂²×C₅₉	semidirect
1099. #416	C₂²×C₅₉	semidirect
1100. #416	C₂²×C₅₉	semidirect
1101. C₂×#103	C₂²×C₅₉	semidirect
1102. C₂×#102	C₂²×C₅₉	semidirect
1103. C₂×C₂²⋊C₈	C₂²×C₅₉	semidirect
1104. C₂×C₂²⋊C₈	C₂²×C₅₉	semidirect
1105. C₂×#97	C₂²×C₅₉	semidirect
1106. C₅₉	#62256	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₅₉×#3520	2
C₅₉×#3519	2
C₅₉×#3350	2
C₅₉×#3348	2
C₅₉×#3345	2
C₅₉×#3344	2
C₅₉×#3321	2
C₅₉×#3320	2
C₅₉×#3317	2
C₅₉×#3316	2
C₅₉×#3311	2
C₅₉×#3310	2
C₅₉×#3307	2
C₅₉×#3306	2
C₅₉×#3271	2
C₅₉×#3267	2
C₅₉×#3266	2
C₅₉×#3265	2
C₅₉×#3250	2
C₅₉×#3246	2
C₅₉×#3191	2
C₅₉×#3190	2
C₅₉×#3188	2
C₅₉×#3187	2
C₅₉×#3181	2
C₅₉×#3180	2
C₅₉×#3056	2
C₅₉×#3055	2
C₅₉×#3050	2
C₂×C₅₉×#465	2
C₂×C₅₉×#435	2
#62256	59

Subgroups — C59×#62256 #28474365

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62256 #28474365