Subgroups — C₅₉×#60973 #28473082

Order 15104.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3461	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#3262	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#3260	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#3257	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#3243	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#3243	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#3242	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#3241	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#3222	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#3221	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#3203	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#3201	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#3200	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#3198	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#3183	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#3182	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#3181	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#3180	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#3117	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₉×#3116	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₉×#3115	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₉×#3114	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₉×#3112	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₉×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₉×#3111	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₉×#3110	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₉×#2923	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅₉×#544	C₂²	1	1	yes	characteristic
33	C₅₉×#544	C₂²	1	1	yes	characteristic, complemented
34	C₅₉×#542	—	2	1	no	—
35	C₅₉×#542	—	2	1	no	—
36	C₅₉×#542	C₂²	1	1	yes	characteristic
37	C₅₉×#542	C₂²	1	1	yes	characteristic
38	C₅₉×#542	C₂²	1	1	yes	characteristic
39	C₅₉×#542	C₂²	1	1	yes	characteristic, complemented
40	C₅₉×#541	—	2	1	no	—
41	C₅₉×#541	C₂²	1	1	yes	characteristic
42	C₅₉×#541	C₂²	1	1	yes	characteristic, complemented
43	C₅₉×#540	—	2	1	no	—
44	C₅₉×#540	C₂²	1	1	yes	characteristic
45	C₅₉×#540	C₂²	1	1	yes	characteristic
46	C₅₉×#539	—	2	1	no	—
47	C₅₉×#539	—	2	1	no	—
48	C₅₉×#538	—	2	1	no	—
49	C₅₉×#538	—	2	1	no	—
50	C₅₉×#537	C₂²	1	1	yes	characteristic
51	C₅₉×#537	C₂²	1	1	yes	characteristic
52	C₅₉×#536	C₂²	1	1	yes	characteristic
53	C₅₉×#536	C₂²	1	1	yes	characteristic, complemented
54	C₅₉×#535	C₂²	1	1	yes	characteristic
55	C₅₉×#535	C₂²	1	1	yes	characteristic
56	C₅₉×#533	—	2	1	no	—
57	C₅₉×#533	C₂²	1	1	yes	characteristic
58	C₅₉×#533	C₂²	1	1	yes	characteristic, complemented
59	C₅₉×#532	—	2	1	no	—
60	C₅₉×#532	C₂²	1	1	yes	characteristic
61	C₅₉×#532	C₂²	1	1	yes	characteristic
62	C₅₉×#529	—	2	1	no	—
63	C₅₉×#529	—	2	1	no	—
64	C₅₉×#529	—	2	1	no	—
65	C₅₉×#529	—	2	1	no	—
66	C₅₉×#529	C₂²	1	1	yes	characteristic
67	C₅₉×#529	C₂²	1	1	yes	characteristic
68	C₅₉×#529	C₂²	1	1	yes	characteristic
69	C₅₉×#529	C₂²	1	1	yes	characteristic, complemented
70	C₅₉×#525	—	2	1	no	—
71	C₅₉×#525	—	2	1	no	—
72	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic
73	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic
74	C₄×#41×C₅₉	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
77	C₅₉×#501	C₂²	1	1	yes	characteristic, complemented
78	C₅₉×#501	C₂²	1	1	yes	characteristic, complemented
79	C₅₉×#500	C₂²	1	1	yes	characteristic, complemented
80	C₅₉×#499	C₂²	1	1	yes	characteristic, complemented
81	C₅₉×#497	C₂²	1	1	yes	characteristic
82	C₅₉×#496	C₂²	1	1	yes	characteristic
83	C₅₉×#495	C₂²	1	1	yes	characteristic
84	C₅₉×#492	C₂²	1	1	yes	characteristic
85	C₅₉×#491	C₂²	1	1	yes	characteristic, complemented
86	C₅₉×#490	C₂²	1	1	yes	characteristic
87	C₅₉×#489	C₂²	1	1	yes	characteristic
88	C₅₉×#489	C₂²	1	1	yes	characteristic, complemented
89	C₅₉×#488	C₂²	1	1	yes	characteristic
90	C₅₉×#488	C₂²	1	1	yes	characteristic, complemented
91	C₅₉×#487	C₂²	1	1	yes	characteristic, complemented
92	C₅₉×#486	C₂²	1	1	yes	characteristic
93	C₅₉×#485	C₂²	1	1	yes	characteristic
94	C₅₉×#485	C₂²	1	1	yes	characteristic
95	C₅₉×#485	C₂²	1	1	yes	characteristic
96	C₅₉×#485	C₂²	1	1	yes	characteristic, complemented
97	C₅₉×#484	C₂²	1	1	yes	characteristic
98	C₅₉×#484	C₂²	1	1	yes	characteristic
99	C₅₉×#484	C₂²	1	1	yes	characteristic, complemented
100	C₅₉×#483	C₂²	1	1	yes	characteristic
101	C₅₉×#482	C₂²	1	1	yes	characteristic
102	C₅₉×#482	C₂²	1	1	yes	characteristic
103	C₅₉×#482	C₂²	1	1	yes	characteristic
104	C₅₉×#482	C₂²	1	1	yes	characteristic, complemented
105	C₅₉×#481	C₂²	1	1	yes	characteristic
106	C₅₉×#480	C₂²	1	1	yes	characteristic
107	C₅₉×#480	C₂²	1	1	yes	characteristic
108	C₅₉×#480	C₂²	1	1	yes	characteristic, complemented
109	C₅₉×#479	C₂²	1	1	yes	characteristic, complemented
110	C₅₉×#479	C₂²	1	1	yes	characteristic, complemented
111	C₅₉×#479	C₂²	1	1	yes	characteristic, complemented
112	C₅₉×#479	C₂²	1	1	yes	characteristic, complemented
113	C₅₉×#478	C₂²	1	1	yes	characteristic
114	C₅₉×#478	C₂²	1	1	yes	characteristic
115	C₅₉×#478	C₂²	1	1	yes	characteristic, complemented
116	C₅₉×#478	C₂²	1	1	yes	characteristic, complemented
117	C₅₉×#477	C₂²	1	1	yes	characteristic, complemented
118	C₅₉×#477	C₂²	1	1	yes	characteristic, complemented
119	C₅₉×#477	C₂²	1	1	yes	characteristic, complemented
120	C₅₉×#476	C₂²	1	1	yes	characteristic, complemented
121	C₅₉×#475	C₂²	1	1	yes	characteristic, complemented
122	C₅₉×#474	C₂²	1	1	yes	characteristic
123	C₅₉×#474	C₂²	1	1	yes	characteristic
124	C₅₉×#474	C₂²	1	1	yes	characteristic, complemented
125	C₅₉×#470	C₂²	1	1	yes	characteristic, complemented
126	C₅₉×#469	C₂²	1	1	yes	characteristic
127	C₅₉×#468	C₂²	1	1	yes	characteristic
128	C₅₉×#468	C₂²	1	1	yes	characteristic
129	C₅₉×#468	C₂²	1	1	yes	characteristic
130	C₅₉×#468	C₂²	1	1	yes	characteristic, complemented
131	C₅₉×#468	C₂²	1	1	yes	characteristic, complemented
132	C₅₉×#468	C₂²	1	1	yes	characteristic, complemented
133	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
134	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
135	C₅₉×#466	C₂²	1	1	yes	characteristic
136	C₅₉×#466	C₂²	1	1	yes	characteristic, complemented
137	C₅₉×#465	C₂²	1	1	yes	characteristic
138	C₅₉×#465	C₂²	1	1	yes	characteristic
139	C₅₉×#465	C₂²	1	1	yes	characteristic
140	C₅₉×#465	C₂²	1	1	yes	characteristic, complemented
141	C₅₉×#464	C₂²	1	1	yes	characteristic
142	C₅₉×#464	C₂²	1	1	yes	characteristic
143	C₅₉×#464	C₂²	1	1	yes	characteristic
144	C₅₉×#464	C₂²	1	1	yes	characteristic, complemented
145	C₅₉×#463	C₂²	1	1	yes	characteristic
146	C₅₉×#463	C₂²	1	1	yes	characteristic
147	C₅₉×#463	C₂²	1	1	yes	characteristic
148	C₅₉×#463	C₂²	1	1	yes	characteristic, complemented
149	C₅₉×#462	C₂²	1	1	yes	characteristic, complemented
150	C₅₉×#461	C₂²	1	1	yes	characteristic
151	C₅₉×#461	C₂²	1	1	yes	characteristic
152	C₅₉×#461	C₂²	1	1	yes	characteristic, complemented
153	C₅₉×#460	C₂²	1	1	yes	characteristic
154	C₅₉×#460	C₂²	1	1	yes	characteristic
155	C₅₉×#460	C₂²	1	1	yes	characteristic
156	C₅₉×#459	C₂²	1	1	yes	characteristic
157	C₅₉×#452	C₂²	1	1	yes	characteristic
158	C₅₉×#452	C₂²	1	1	yes	characteristic
159	C₅₉×#452	C₂²	1	1	yes	characteristic
160	C₅₉×#452	C₂²	1	1	yes	characteristic, complemented
161	C₅₉×#451	C₂²	1	1	yes	characteristic, complemented
162	C₅₉×#450	C₂²	1	1	yes	characteristic
163	C₅₉×#450	C₂²	1	1	yes	characteristic
164	C₅₉×#450	C₂²	1	1	yes	characteristic
165	C₅₉×#449	C₂²	1	1	yes	characteristic
166	C₅₉×#449	C₂²	1	1	yes	characteristic
167	C₅₉×#449	C₂²	1	1	yes	characteristic
168	C₅₉×#449	C₂²	1	1	yes	characteristic, complemented
169	C₅₉×#448	C₂²	1	1	yes	characteristic
170	C₅₉×#448	C₂²	1	1	yes	characteristic
171	C₅₉×#448	C₂²	1	1	yes	characteristic, complemented
172	C₅₉×#447	C₂²	1	1	yes	characteristic
173	C₅₉×#442	C₂²	1	1	yes	characteristic
174	C₅₉×#442	C₂²	1	1	yes	characteristic
175	C₅₉×#442	C₂²	1	1	yes	characteristic, complemented
176	C₅₉×#441	C₂²	1	1	yes	characteristic, complemented
177	C₅₉×#441	C₂²	1	1	yes	characteristic, complemented
178	C₅₉×#441	C₂²	1	1	yes	characteristic, complemented
179	C₅₉×#440	C₂²	1	1	yes	characteristic
180	C₅₉×#440	C₂²	1	1	yes	characteristic
181	C₅₉×#440	C₂²	1	1	yes	characteristic
182	C₅₉×#440	C₂²	1	1	yes	characteristic
183	C₅₉×#440	C₂²	1	1	yes	characteristic
184	C₅₉×#440	C₂²	1	1	yes	characteristic
185	C₅₉×#440	C₂²	1	1	yes	characteristic, complemented
186	C₅₉×#440	C₂²	1	1	yes	characteristic, complemented
187	C₅₉×#440	C₂²	1	1	yes	characteristic, complemented
188	C₅₉×#440	C₂²	1	1	yes	characteristic, complemented
189	C₅₉×#433	C₂²	1	1	yes	characteristic
190	C₅₉×#433	C₂²	1	1	yes	characteristic
191	C₅₉×#433	C₂²	1	1	yes	characteristic, complemented
192	C₅₉×#433	C₂²	1	1	yes	characteristic, complemented
193	C₅₉×#432	C₂²	1	1	yes	characteristic
194	C₅₉×#432	C₂²	1	1	yes	characteristic
195	C₅₉×#432	C₂²	1	1	yes	characteristic, complemented
196	C₅₉×#432	C₂²	1	1	yes	characteristic, complemented
197	C₅₉×#424	C₂²	1	1	yes	characteristic, complemented
198	C₅₉×#424	C₂²	1	1	yes	characteristic, complemented
199	C₅₉×#408	C₂²	1	1	yes	characteristic
200	C₅₉×#408	C₂²	1	1	yes	characteristic
201	C₄×M₁₆×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	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₅₉	—	2	1	no	—
211	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
222	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
224	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
227	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₅₉	—	2	1	no	—
232	C₄⋊Q₈×C₅₉	—	2	1	no	—
233	C₄⋊Q₈×C₅₉	—	2	1	no	—
234	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
236	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
237	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
238	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
239	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
240	#127×C₅₉	—	2	1	no	—
241	#127×C₅₉	C₂³	1	1	yes	characteristic
242	#127×C₅₉	C₂³	1	1	yes	characteristic
243	#126×C₅₉	—	2	1	no	—
244	#126×C₅₉	—	2	1	no	—
245	#126×C₅₉	—	2	1	no	—
246	#126×C₅₉	—	2	1	no	—
247	#126×C₅₉	—	2	1	no	—
248	#126×C₅₉	—	2	1	no	—
249	#126×C₅₉	—	2	1	no	—
250	#126×C₅₉	—	2	1	no	—
251	#126×C₅₉	—	2	1	no	—
252	#126×C₅₉	—	2	1	no	—
253	#126×C₅₉	—	2	1	no	—
254	#126×C₅₉	—	2	1	no	—
255	#125×C₅₉	—	2	1	no	—
256	#125×C₅₉	—	2	1	no	—
257	#125×C₅₉	—	2	1	no	—
258	#125×C₅₉	—	2	1	no	—
259	#125×C₅₉	—	2	1	no	—
260	#125×C₅₉	—	2	1	no	—
261	#125×C₅₉	—	2	1	no	—
262	#125×C₅₉	—	2	1	no	—
263	#125×C₅₉	C₂³	1	1	yes	characteristic
264	#125×C₅₉	C₂³	1	1	yes	characteristic
265	#125×C₅₉	C₂³	1	1	yes	characteristic
266	#125×C₅₉	C₂³	1	1	yes	characteristic
267	#124×C₅₉	—	2	1	no	—
268	#124×C₅₉	—	2	1	no	—
269	#124×C₅₉	—	2	1	no	—
270	#124×C₅₉	—	2	1	no	—
271	#124×C₅₉	—	2	1	no	—
272	#124×C₅₉	—	2	1	no	—
273	#124×C₅₉	—	2	1	no	—
274	#124×C₅₉	—	2	1	no	—
275	#124×C₅₉	C₂³	1	1	yes	characteristic
276	#124×C₅₉	C₂³	1	1	yes	characteristic
277	#124×C₅₉	C₂³	1	1	yes	characteristic
278	#124×C₅₉	C₂³	1	1	yes	characteristic
279	#123×C₅₉	—	2	1	no	—
280	#123×C₅₉	—	2	1	no	—
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	C₂²⋊Q₈×C₅₉	—	2	1	no	—
296	C₂²⋊Q₈×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	#121×C₅₉	—	2	1	no	—
318	#121×C₅₉	—	2	1	no	—
319	#121×C₅₉	—	2	1	no	—
320	#121×C₅₉	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
332	#121×C₅₉	C₂³	1	1	yes	characteristic
333	#121×C₅₉	C₂³	1	1	yes	characteristic
334	#121×C₅₉	C₂³	1	1	yes	characteristic
335	#121×C₅₉	C₂³	1	1	yes	characteristic
336	#121×C₅₉	C₂³	1	1	yes	characteristic
337	#121×C₅₉	C₂³	1	1	yes	characteristic
338	#121×C₅₉	C₂³	1	1	yes	characteristic
339	#120×C₅₉	—	2	1	no	—
340	#120×C₅₉	—	2	1	no	—
341	#120×C₅₉	—	2	1	no	—
342	#120×C₅₉	—	2	1	no	—
343	C₄×Q₈×C₅₉	—	2	1	no	—
344	C₄×Q₈×C₅₉	—	2	1	no	—
345	C₄×Q₈×C₅₉	—	2	1	no	—
346	C₄×Q₈×C₅₉	—	2	1	no	—
347	C₄×Q₈×C₅₉	D₄	1	1	yes	characteristic
348	C₄×Q₈×C₅₉	D₄	1	1	yes	characteristic
349	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
354	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
355	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
356	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₅₉	—	2	1	no	—
358	C₄×D₄×C₅₉	—	2	1	no	—
359	C₄×D₄×C₅₉	—	2	1	no	—
360	C₄×D₄×C₅₉	—	2	1	no	—
361	C₄×D₄×C₅₉	—	2	1	no	—
362	C₄×D₄×C₅₉	—	2	1	no	—
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	D₄	1	1	yes	characteristic
370	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
371	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
372	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
373	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
374	C₄×D₄×C₅₉	D₄	1	1	yes	characteristic
375	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
383	#117×C₅₉	—	2	1	no	—
384	#117×C₅₉	—	2	1	no	—
385	#117×C₅₉	—	2	1	no	—
386	#117×C₅₉	—	2	1	no	—
387	#117×C₅₉	—	2	1	no	—
388	#117×C₅₉	—	2	1	no	—
389	#117×C₅₉	—	2	1	no	—
390	#117×C₅₉	—	2	1	no	—
391	#117×C₅₉	C₂³	1	1	yes	characteristic
392	#117×C₅₉	C₂³	1	1	yes	characteristic
393	#117×C₅₉	C₂³	1	1	yes	characteristic
394	#117×C₅₉	C₂³	1	1	yes	characteristic
395	#117×C₅₉	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
397	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
399	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
400	C₂×C₄²×C₅₉	—	2	1	no	—
401	C₂×C₄²×C₅₉	—	2	1	no	—
402	C₂×C₄²×C₅₉	—	2	1	no	—
403	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
404	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
406	#107×C₅₉	C₂³	1	1	yes	characteristic
407	#107×C₅₉	C₂³	1	1	yes	characteristic
408	#107×C₅₉	C₂³	1	1	yes	characteristic
409	#107×C₅₉	C₂³	1	1	yes	characteristic
410	#107×C₅₉	C₂³	1	1	yes	characteristic
411	#107×C₅₉	C₂³	1	1	yes	characteristic
412	#107×C₅₉	C₂³	1	1	yes	characteristic
413	#107×C₅₉	C₂³	1	1	yes	characteristic
414	#107×C₅₉	C₂³	1	1	yes	characteristic
415	#107×C₅₉	C₂³	1	1	yes	characteristic
416	#106×C₅₉	C₂³	1	1	yes	characteristic
417	#106×C₅₉	C₂³	1	1	yes	characteristic
418	#106×C₅₉	C₂³	1	1	yes	characteristic
419	#106×C₅₉	C₂³	1	1	yes	characteristic
420	#106×C₅₉	C₂³	1	1	yes	characteristic
421	#106×C₅₉	C₂³	1	1	yes	characteristic
422	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
423	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
430	#103×C₅₉	C₂³	1	1	yes	characteristic
431	#103×C₅₉	C₂³	1	1	yes	characteristic
432	#103×C₅₉	C₂³	1	1	yes	characteristic
433	#103×C₅₉	C₂³	1	1	yes	characteristic
434	#103×C₅₉	C₂³	1	1	yes	characteristic
435	#103×C₅₉	C₂³	1	1	yes	characteristic
436	#103×C₅₉	C₂³	1	1	yes	characteristic
437	#103×C₅₉	C₂³	1	1	yes	characteristic
438	#103×C₅₉	C₂³	1	1	yes	characteristic
439	#103×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	#102×C₅₉	C₂³	1	1	yes	characteristic
447	#102×C₅₉	C₂³	1	1	yes	characteristic
448	#102×C₅₉	C₂³	1	1	yes	characteristic
449	#102×C₅₉	C₂³	1	1	yes	characteristic
450	#102×C₅₉	C₂³	1	1	yes	characteristic
451	#102×C₅₉	C₂³	1	1	yes	characteristic
452	#102×C₅₉	C₂³	1	1	yes	characteristic
453	#102×C₅₉	C₂³	1	1	yes	characteristic
454	#102×C₅₉	C₂³	1	1	yes	characteristic
455	#102×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	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
470	#97×C₅₉	C₂³	1	1	yes	characteristic
471	#97×C₅₉	C₂³	1	1	yes	characteristic
472	#97×C₅₉	C₂³	1	1	yes	characteristic
473	#97×C₅₉	C₂³	1	1	yes	characteristic
474	#97×C₅₉	C₂³	1	1	yes	characteristic
475	#97×C₅₉	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
478	C₂⁴×C₅₉	—	2	1	no	—
479	#41×C₅₉	—	4	1	no	—
480	#41×C₅₉	—	4	1	no	—
481	#41×C₅₉	—	4	1	no	—
482	#41×C₅₉	—	4	1	no	—
483	#41×C₅₉	—	4	1	no	—
484	#41×C₅₉	—	4	1	no	—
485	#41×C₅₉	—	8	2	no	—
486	#41×C₅₉	—	8	2	no	—
487	C₂×Q₈×C₅₉	—	2	1	no	—
488	C₂×Q₈×C₅₉	—	2	1	no	—
489	C₂×Q₈×C₅₉	—	2	1	no	—
490	C₂×Q₈×C₅₉	—	2	1	no	—
491	C₂×Q₈×C₅₉	—	2	1	no	—
492	C₂×Q₈×C₅₉	—	4	1	no	—
493	C₂×Q₈×C₅₉	—	4	1	no	—
494	C₂×Q₈×C₅₉	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₅₉	—	2	1	no	—
500	C₂×D₄×C₅₉	—	2	1	no	—
501	C₂×D₄×C₅₉	—	2	1	no	—
502	C₂×D₄×C₅₉	—	2	1	no	—
503	C₂×D₄×C₅₉	—	2	1	no	—
504	C₂×D₄×C₅₉	—	2	1	no	—
505	C₂×D₄×C₅₉	—	2	1	no	—
506	C₂×D₄×C₅₉	—	2	1	no	—
507	C₂×D₄×C₅₉	—	2	1	no	—
508	C₂×D₄×C₅₉	—	2	1	no	—
509	C₂×D₄×C₅₉	—	2	1	no	—
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	—	4	1	no	—
515	C₂×D₄×C₅₉	—	4	1	no	—
516	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅₉	—	2	1	no	—
524	C₂²×C₄×C₅₉	—	2	1	no	—
525	C₂²×C₄×C₅₉	—	2	1	no	—
526	C₂²×C₄×C₅₉	—	2	1	no	—
527	C₂²×C₄×C₅₉	—	2	1	no	—
528	C₂²×C₄×C₅₉	—	2	1	no	—
529	C₂²×C₄×C₅₉	—	2	1	no	—
530	C₂²×C₄×C₅₉	—	2	1	no	—
531	C₂²×C₄×C₅₉	—	2	1	no	—
532	C₂²×C₄×C₅₉	—	2	1	no	—
533	C₂²×C₄×C₅₉	—	2	1	no	—
534	C₂²×C₄×C₅₉	—	2	1	no	—
535	C₂²×C₄×C₅₉	—	2	1	no	—
536	C₂²×C₄×C₅₉	—	8	2	no	—
537	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
546	Q₁₆×C₅₉	—	4	1	no	—
547	Q₁₆×C₅₉	—	4	1	no	—
548	Q₁₆×C₅₉	—	4	1	no	—
549	SD₁₆×C₅₉	—	4	1	no	—
550	SD₁₆×C₅₉	—	4	1	no	—
551	SD₁₆×C₅₉	—	4	1	no	—
552	SD₁₆×C₅₉	—	4	1	no	—
553	SD₁₆×C₅₉	—	4	1	no	—
554	SD₁₆×C₅₉	—	4	1	no	—
555	SD₁₆×C₅₉	—	4	1	no	—
556	SD₁₆×C₅₉	—	4	1	no	—
557	SD₁₆×C₅₉	—	4	1	no	—
558	SD₁₆×C₅₉	—	4	1	no	—
559	D₈×C₅₉	—	4	1	no	—
560	D₈×C₅₉	—	4	1	no	—
561	D₈×C₅₉	—	4	1	no	—
562	M₁₆×C₅₉	—	4	1	no	—
563	M₁₆×C₅₉	—	4	1	no	—
564	C₂×C₈×C₅₉	—	4	1	no	—
565	C₂×C₈×C₅₉	—	4	1	no	—
566	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
574	C₄⋊C₄×C₅₉	—	2	1	no	—
575	C₄⋊C₄×C₅₉	—	2	1	no	—
576	C₄⋊C₄×C₅₉	—	2	1	no	—
577	C₄⋊C₄×C₅₉	—	2	1	no	—
578	C₄⋊C₄×C₅₉	—	2	1	no	—
579	C₄⋊C₄×C₅₉	—	2	1	no	—
580	C₄⋊C₄×C₅₉	—	2	1	no	—
581	C₄⋊C₄×C₅₉	—	2	1	no	—
582	C₄⋊C₄×C₅₉	—	2	1	no	—
583	C₄⋊C₄×C₅₉	—	2	1	no	—
584	C₄⋊C₄×C₅₉	—	2	1	no	—
585	C₄⋊C₄×C₅₉	—	2	1	no	—
586	C₄⋊C₄×C₅₉	—	2	1	no	—
587	C₄⋊C₄×C₅₉	—	2	1	no	—
588	C₄⋊C₄×C₅₉	—	2	1	no	—
589	C₄⋊C₄×C₅₉	—	2	1	no	—
590	C₄⋊C₄×C₅₉	—	2	1	no	—
591	C₄⋊C₄×C₅₉	—	2	1	no	—
592	C₄⋊C₄×C₅₉	—	2	1	no	—
593	C₄⋊C₄×C₅₉	—	2	1	no	—
594	C₄⋊C₄×C₅₉	—	2	1	no	—
595	C₄⋊C₄×C₅₉	—	2	1	no	—
596	C₄⋊C₄×C₅₉	—	2	1	no	—
597	C₄⋊C₄×C₅₉	—	2	1	no	—
598	C₄⋊C₄×C₅₉	—	2	1	no	—
599	C₄⋊C₄×C₅₉	—	2	1	no	—
600	C₄⋊C₄×C₅₉	—	2	1	no	—
601	C₄⋊C₄×C₅₉	—	2	1	no	—
602	C₄⋊C₄×C₅₉	—	2	1	no	—
603	C₄⋊C₄×C₅₉	—	2	1	no	—
604	C₄⋊C₄×C₅₉	—	2	1	no	—
605	C₄⋊C₄×C₅₉	—	2	1	no	—
606	C₄⋊C₄×C₅₉	—	2	1	no	—
607	C₄⋊C₄×C₅₉	—	2	1	no	—
608	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
622	C₂²⋊C₄×C₅₉	—	2	1	no	—
623	C₂²⋊C₄×C₅₉	—	2	1	no	—
624	C₂²⋊C₄×C₅₉	—	2	1	no	—
625	C₂²⋊C₄×C₅₉	—	2	1	no	—
626	C₂²⋊C₄×C₅₉	—	2	1	no	—
627	C₂²⋊C₄×C₅₉	—	2	1	no	—
628	C₂²⋊C₄×C₅₉	—	2	1	no	—
629	C₂²⋊C₄×C₅₉	—	2	1	no	—
630	C₂²⋊C₄×C₅₉	—	2	1	no	—
631	C₂²⋊C₄×C₅₉	—	2	1	no	—
632	C₂²⋊C₄×C₅₉	—	2	1	no	—
633	C₂²⋊C₄×C₅₉	—	2	1	no	—
634	C₂²⋊C₄×C₅₉	—	2	1	no	—
635	C₂²⋊C₄×C₅₉	—	2	1	no	—
636	C₂²⋊C₄×C₅₉	—	2	1	no	—
637	C₂²⋊C₄×C₅₉	—	2	1	no	—
638	C₂²⋊C₄×C₅₉	—	2	1	no	—
639	C₂²⋊C₄×C₅₉	—	2	1	no	—
640	C₂²⋊C₄×C₅₉	—	2	1	no	—
641	C₂²⋊C₄×C₅₉	—	2	1	no	—
642	C₂²⋊C₄×C₅₉	—	2	1	no	—
643	C₂²⋊C₄×C₅₉	—	2	1	no	—
644	C₂²⋊C₄×C₅₉	—	2	1	no	—
645	C₂²⋊C₄×C₅₉	—	2	1	no	—
646	C₂²⋊C₄×C₅₉	—	2	1	no	—
647	C₂²⋊C₄×C₅₉	—	2	1	no	—
648	C₂²⋊C₄×C₅₉	—	2	1	no	—
649	C₂²⋊C₄×C₅₉	—	2	1	no	—
650	C₂²⋊C₄×C₅₉	—	2	1	no	—
651	C₂²⋊C₄×C₅₉	—	2	1	no	—
652	C₂²⋊C₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
662	C₄²×C₅₉	—	2	1	no	—
663	C₄²×C₅₉	—	2	1	no	—
664	C₄²×C₅₉	—	2	1	no	—
665	C₄²×C₅₉	—	2	1	no	—
666	C₄²×C₅₉	—	2	1	no	—
667	C₄²×C₅₉	—	2	1	no	—
668	C₄²×C₅₉	—	2	1	no	—
669	C₄²×C₅₉	—	2	1	no	—
670	C₄²×C₅₉	—	2	1	no	—
671	C₄²×C₅₉	—	2	1	no	—
672	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
674	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
679	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
680	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
681	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
682	C₂³×C₅₉	—	2	1	no	—
683	C₂³×C₅₉	—	2	1	no	—
684	C₂³×C₅₉	—	2	1	no	—
685	C₂³×C₅₉	—	2	1	no	—
686	C₂³×C₅₉	—	4	2	no	—
687	C₂³×C₅₉	—	8	1	no	—
688	C₂³×C₅₉	—	8	1	no	—
689	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
690	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
691	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
692	Q₈×C₅₉	—	2	1	no	—
693	Q₈×C₅₉	—	2	1	no	—
694	Q₈×C₅₉	—	2	1	no	—
695	Q₈×C₅₉	—	2	1	no	—
696	Q₈×C₅₉	—	2	1	no	—
697	Q₈×C₅₉	—	2	1	no	—
698	Q₈×C₅₉	—	2	1	no	—
699	Q₈×C₅₉	—	2	1	no	—
700	Q₈×C₅₉	—	4	1	no	—
701	Q₈×C₅₉	—	4	2	no	—
702	Q₈×C₅₉	—	8	1	no	—
703	Q₈×C₅₉	—	8	1	no	—
704	Q₈×C₅₉	—	8	1	no	—
705	Q₈×C₅₉	—	8	1	no	—
706	D₄×C₅₉	—	2	1	no	—
707	D₄×C₅₉	—	2	1	no	—
708	D₄×C₅₉	—	2	1	no	—
709	D₄×C₅₉	—	2	1	no	—
710	D₄×C₅₉	—	2	1	no	—
711	D₄×C₅₉	—	2	1	no	—
712	D₄×C₅₉	—	2	1	no	—
713	D₄×C₅₉	—	2	1	no	—
714	D₄×C₅₉	—	4	1	no	—
715	D₄×C₅₉	—	4	1	no	—
716	D₄×C₅₉	—	4	1	no	—
717	D₄×C₅₉	—	4	2	no	—
718	D₄×C₅₉	—	4	2	no	—
719	D₄×C₅₉	—	4	2	no	—
720	D₄×C₅₉	—	8	1	no	—
721	D₄×C₅₉	—	8	1	no	—
722	D₄×C₅₉	—	8	1	no	—
723	D₄×C₅₉	—	8	1	no	—
724	D₄×C₅₉	—	8	1	no	—
725	D₄×C₅₉	—	8	1	no	—
726	D₄×C₅₉	—	8	1	no	—
727	D₄×C₅₉	—	8	1	no	—
728	D₄×C₅₉	—	8	1	no	—
729	D₄×C₅₉	—	8	1	no	—
730	D₄×C₅₉	—	8	1	no	—
731	D₄×C₅₉	—	8	1	no	—
732	C₂×C₄×C₅₉	—	2	1	no	—
733	C₂×C₄×C₅₉	—	2	1	no	—
734	C₂×C₄×C₅₉	—	2	1	no	—
735	C₂×C₄×C₅₉	—	2	1	no	—
736	C₂×C₄×C₅₉	—	2	1	no	—
737	C₂×C₄×C₅₉	—	2	1	no	—
738	C₂×C₄×C₅₉	—	2	1	no	—
739	C₂×C₄×C₅₉	—	2	1	no	—
740	C₂×C₄×C₅₉	—	2	1	no	—
741	C₂×C₄×C₅₉	—	2	1	no	—
742	C₂×C₄×C₅₉	—	2	1	no	—
743	C₂×C₄×C₅₉	—	2	1	no	—
744	C₂×C₄×C₅₉	—	2	1	no	—
745	C₂×C₄×C₅₉	—	2	1	no	—
746	C₂×C₄×C₅₉	—	2	1	no	—
747	C₂×C₄×C₅₉	—	2	1	no	—
748	C₂×C₄×C₅₉	—	2	1	no	—
749	C₂×C₄×C₅₉	—	2	1	no	—
750	C₂×C₄×C₅₉	—	4	1	no	—
751	C₂×C₄×C₅₉	—	4	1	no	—
752	C₂×C₄×C₅₉	—	4	1	no	—
753	C₂×C₄×C₅₉	—	4	1	no	—
754	C₂×C₄×C₅₉	—	4	1	no	—
755	C₂×C₄×C₅₉	—	4	1	no	—
756	C₂×C₄×C₅₉	—	4	2	no	—
757	C₂×C₄×C₅₉	—	4	2	no	—
758	C₂×C₄×C₅₉	—	4	2	no	—
759	C₂×C₄×C₅₉	—	4	2	no	—
760	C₂×C₄×C₅₉	—	4	2	no	—
761	C₂×C₄×C₅₉	—	4	2	no	—
762	C₂×C₄×C₅₉	—	4	2	no	—
763	C₂×C₄×C₅₉	—	8	1	no	—
764	C₂×C₄×C₅₉	—	8	1	no	—
765	C₂×C₄×C₅₉	—	8	1	no	—
766	C₂×C₄×C₅₉	—	8	1	no	—
767	C₂×C₄×C₅₉	—	8	1	no	—
768	C₂×C₄×C₅₉	—	8	1	no	—
769	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
781	C₈×C₅₉	—	2	1	no	—
782	C₈×C₅₉	—	2	1	no	—
783	C₈×C₅₉	—	2	1	no	—
784	C₈×C₅₉	—	2	1	no	—
785	C₈×C₅₉	—	2	1	no	—
786	C₈×C₅₉	—	2	1	no	—
787	C₈×C₅₉	—	2	1	no	—
788	C₈×C₅₉	—	2	1	no	—
789	#60973	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
790	C₂²×C₅₉	—	2	1	no	—
791	C₂²×C₅₉	—	2	1	no	—
792	C₂²×C₅₉	—	2	1	no	—
793	C₂²×C₅₉	—	2	1	no	—
794	C₂²×C₅₉	—	2	1	no	—
795	C₂²×C₅₉	—	2	1	no	—
796	C₂²×C₅₉	—	2	1	no	—
797	C₂²×C₅₉	—	2	1	no	—
798	C₂²×C₅₉	—	2	1	no	—
799	C₂²×C₅₉	—	4	1	no	—
800	C₂²×C₅₉	—	4	1	no	—
801	C₂²×C₅₉	—	4	1	no	—
802	C₂²×C₅₉	—	4	1	no	—
803	C₂²×C₅₉	—	4	1	no	—
804	C₂²×C₅₉	—	4	1	no	—
805	C₂²×C₅₉	—	4	1	no	—
806	C₂²×C₅₉	—	4	1	no	—
807	C₂²×C₅₉	—	4	1	no	—
808	C₂²×C₅₉	—	4	1	no	—
809	C₂²×C₅₉	—	4	1	no	—
810	C₂²×C₅₉	—	4	1	no	—
811	C₂²×C₅₉	—	8	4	no	—
812	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
813	C₄×C₅₉	—	2	1	no	—
814	C₄×C₅₉	—	2	1	no	—
815	C₄×C₅₉	—	2	1	no	—
816	C₄×C₅₉	—	2	1	no	—
817	C₄×C₅₉	—	2	1	no	—
818	C₄×C₅₉	—	2	1	no	—
819	C₄×C₅₉	—	2	1	no	—
820	C₄×C₅₉	—	2	1	no	—
821	C₄×C₅₉	—	2	1	no	—
822	C₄×C₅₉	—	2	1	no	—
823	C₄×C₅₉	—	2	1	no	—
824	C₄×C₅₉	—	4	1	no	—
825	C₄×C₅₉	—	4	1	no	—
826	C₄×C₅₉	—	4	1	no	—
827	C₄×C₅₉	—	4	1	no	—
828	C₄×C₅₉	—	4	1	no	—
829	C₄×C₅₉	—	4	1	no	—
830	C₄×C₅₉	—	4	1	no	—
831	C₄×C₅₉	—	4	1	no	—
832	C₄×C₅₉	—	4	1	no	—
833	C₄×C₅₉	—	4	1	no	—
834	C₄×C₅₉	—	4	1	no	—
835	C₄×C₅₉	—	4	1	no	—
836	C₄×C₅₉	#585	1	1	yes	characteristic
837	C₄×C₅₉	#585	1	1	yes	characteristic
838	#3461	C₂×C₅₉	1	1	yes	characteristic, complemented
839	#3460	C₂×C₅₉	1	1	yes	characteristic, complemented
840	#3262	C₂×C₅₉	1	1	yes	characteristic, complemented
841	#3260	C₂×C₅₉	1	1	yes	characteristic, complemented
842	#3258	C₂×C₅₉	1	1	yes	characteristic, complemented
843	#3257	C₂×C₅₉	1	1	yes	characteristic, complemented
844	#3243	C₂×C₅₉	1	1	yes	characteristic, complemented
845	#3243	C₂×C₅₉	1	1	yes	characteristic, complemented
846	#3242	C₂×C₅₉	1	1	yes	characteristic, complemented
847	#3241	C₂×C₅₉	1	1	yes	characteristic, complemented
848	#3225	C₂×C₅₉	1	1	yes	characteristic, complemented
849	#3224	C₂×C₅₉	1	1	yes	characteristic, complemented
850	#3222	C₂×C₅₉	1	1	yes	characteristic, complemented
851	#3221	C₂×C₅₉	1	1	yes	characteristic, complemented
852	#3203	C₂×C₅₉	1	1	yes	characteristic, complemented
853	#3201	C₂×C₅₉	1	1	yes	characteristic, complemented
854	#3200	C₂×C₅₉	1	1	yes	characteristic, complemented
855	#3198	C₂×C₅₉	1	1	yes	characteristic, complemented
856	#3183	C₂×C₅₉	1	1	yes	characteristic, complemented
857	#3182	C₂×C₅₉	1	1	yes	characteristic, complemented
858	#3181	C₂×C₅₉	1	1	yes	characteristic, complemented
859	#3180	C₂×C₅₉	1	1	yes	characteristic, complemented
860	#3117	C₂×C₅₉	1	1	yes	characteristic, complemented
861	#3116	C₂×C₅₉	1	1	yes	characteristic, complemented
862	#3115	C₂×C₅₉	1	1	yes	characteristic, complemented
863	#3114	C₂×C₅₉	1	1	yes	characteristic, complemented
864	#3112	C₂×C₅₉	1	1	yes	characteristic, complemented
865	#3111	C₂×C₅₉	1	1	yes	characteristic, complemented
866	#3111	C₂×C₅₉	1	1	yes	characteristic, complemented
867	#3110	C₂×C₅₉	1	1	yes	characteristic, complemented
868	#2923	C₂×C₅₉	1	1	yes	characteristic, complemented
869	C₂×C₅₉	—	4	1	no	—
870	C₂×C₅₉	—	4	1	no	—
871	C₂×C₅₉	—	4	1	no	—
872	C₂×C₅₉	—	8	1	no	—
873	C₂×C₅₉	—	8	1	no	—
874	C₂×C₅₉	—	8	1	no	—
875	C₂×C₅₉	—	8	1	no	—
876	C₂×C₅₉	#3449	1	1	yes	characteristic
877	C₂×C₅₉	#3585	1	1	yes	characteristic
878	C₂×C₅₉	#3586	1	1	yes	characteristic
879	#544	C₂²×C₅₉	1	1	yes	characteristic
880	#544	C₂²×C₅₉	1	1	yes	characteristic, complemented
881	#542	—	2	1	no	—
882	#542	—	2	1	no	—
883	#542	C₂²×C₅₉	1	1	yes	characteristic
884	#542	C₂²×C₅₉	1	1	yes	characteristic
885	#542	C₂²×C₅₉	1	1	yes	characteristic
886	#542	C₂²×C₅₉	1	1	yes	characteristic, complemented
887	#541	—	2	1	no	—
888	#541	C₂²×C₅₉	1	1	yes	characteristic
889	#541	C₂²×C₅₉	1	1	yes	characteristic, complemented
890	#540	—	2	1	no	—
891	#540	C₂²×C₅₉	1	1	yes	characteristic
892	#540	C₂²×C₅₉	1	1	yes	characteristic
893	#539	—	2	1	no	—
894	#539	—	2	1	no	—
895	#538	—	2	1	no	—
896	#538	—	2	1	no	—
897	#537	C₂²×C₅₉	1	1	yes	characteristic
898	#537	C₂²×C₅₉	1	1	yes	characteristic
899	#536	C₂²×C₅₉	1	1	yes	characteristic
900	#536	C₂²×C₅₉	1	1	yes	characteristic, complemented
901	#535	C₂²×C₅₉	1	1	yes	characteristic
902	#535	C₂²×C₅₉	1	1	yes	characteristic
903	#533	—	2	1	no	—
904	#533	C₂²×C₅₉	1	1	yes	characteristic
905	#533	C₂²×C₅₉	1	1	yes	characteristic, complemented
906	#532	—	2	1	no	—
907	#532	C₂²×C₅₉	1	1	yes	characteristic
908	#532	C₂²×C₅₉	1	1	yes	characteristic
909	#529	—	2	1	no	—
910	#529	—	2	1	no	—
911	#529	—	2	1	no	—
912	#529	—	2	1	no	—
913	#529	C₂²×C₅₉	1	1	yes	characteristic
914	#529	C₂²×C₅₉	1	1	yes	characteristic
915	#529	C₂²×C₅₉	1	1	yes	characteristic
916	#529	C₂²×C₅₉	1	1	yes	characteristic, complemented
917	#525	—	2	1	no	—
918	#525	—	2	1	no	—
919	C₄×#41	C₂²×C₅₉	1	1	yes	characteristic
920	C₄×#41	C₂²×C₅₉	1	1	yes	characteristic
921	C₄×#41	C₂²×C₅₉	1	1	yes	characteristic, complemented
922	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
923	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
924	#501	C₂²×C₅₉	1	1	yes	characteristic, complemented
925	#501	C₂²×C₅₉	1	1	yes	characteristic, complemented
926	#500	C₂²×C₅₉	1	1	yes	characteristic, complemented
927	#499	C₂²×C₅₉	1	1	yes	characteristic, complemented
928	#497	C₂²×C₅₉	1	1	yes	characteristic
929	#496	C₂²×C₅₉	1	1	yes	characteristic
930	#495	C₂²×C₅₉	1	1	yes	characteristic
931	#492	C₂²×C₅₉	1	1	yes	characteristic
932	#491	C₂²×C₅₉	1	1	yes	characteristic, complemented
933	#490	C₂²×C₅₉	1	1	yes	characteristic
934	#489	C₂²×C₅₉	1	1	yes	characteristic
935	#489	C₂²×C₅₉	1	1	yes	characteristic, complemented
936	#488	C₂²×C₅₉	1	1	yes	characteristic
937	#488	C₂²×C₅₉	1	1	yes	characteristic, complemented
938	#487	C₂²×C₅₉	1	1	yes	characteristic, complemented
939	#486	C₂²×C₅₉	1	1	yes	characteristic
940	#485	C₂²×C₅₉	1	1	yes	characteristic
941	#485	C₂²×C₅₉	1	1	yes	characteristic
942	#485	C₂²×C₅₉	1	1	yes	characteristic
943	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
944	#484	C₂²×C₅₉	1	1	yes	characteristic
945	#484	C₂²×C₅₉	1	1	yes	characteristic
946	#484	C₂²×C₅₉	1	1	yes	characteristic, complemented
947	#483	C₂²×C₅₉	1	1	yes	characteristic
948	#482	C₂²×C₅₉	1	1	yes	characteristic
949	#482	C₂²×C₅₉	1	1	yes	characteristic
950	#482	C₂²×C₅₉	1	1	yes	characteristic
951	#482	C₂²×C₅₉	1	1	yes	characteristic, complemented
952	#481	C₂²×C₅₉	1	1	yes	characteristic
953	#480	C₂²×C₅₉	1	1	yes	characteristic
954	#480	C₂²×C₅₉	1	1	yes	characteristic
955	#480	C₂²×C₅₉	1	1	yes	characteristic, complemented
956	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
957	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
958	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
959	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
960	#478	C₂²×C₅₉	1	1	yes	characteristic
961	#478	C₂²×C₅₉	1	1	yes	characteristic
962	#478	C₂²×C₅₉	1	1	yes	characteristic, complemented
963	#478	C₂²×C₅₉	1	1	yes	characteristic, complemented
964	#477	C₂²×C₅₉	1	1	yes	characteristic, complemented
965	#477	C₂²×C₅₉	1	1	yes	characteristic, complemented
966	#477	C₂²×C₅₉	1	1	yes	characteristic, complemented
967	#476	C₂²×C₅₉	1	1	yes	characteristic, complemented
968	#475	C₂²×C₅₉	1	1	yes	characteristic, complemented
969	#474	C₂²×C₅₉	1	1	yes	characteristic
970	#474	C₂²×C₅₉	1	1	yes	characteristic
971	#474	C₂²×C₅₉	1	1	yes	characteristic, complemented
972	#470	C₂²×C₅₉	1	1	yes	characteristic, complemented
973	#469	C₂²×C₅₉	1	1	yes	characteristic
974	#468	C₂²×C₅₉	1	1	yes	characteristic
975	#468	C₂²×C₅₉	1	1	yes	characteristic
976	#468	C₂²×C₅₉	1	1	yes	characteristic
977	#468	C₂²×C₅₉	1	1	yes	characteristic, complemented
978	#468	C₂²×C₅₉	1	1	yes	characteristic, complemented
979	#468	C₂²×C₅₉	1	1	yes	characteristic, complemented
980	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
981	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
982	#466	C₂²×C₅₉	1	1	yes	characteristic
983	#466	C₂²×C₅₉	1	1	yes	characteristic, complemented
984	#465	C₂²×C₅₉	1	1	yes	characteristic
985	#465	C₂²×C₅₉	1	1	yes	characteristic
986	#465	C₂²×C₅₉	1	1	yes	characteristic
987	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
988	#464	C₂²×C₅₉	1	1	yes	characteristic
989	#464	C₂²×C₅₉	1	1	yes	characteristic
990	#464	C₂²×C₅₉	1	1	yes	characteristic
991	#464	C₂²×C₅₉	1	1	yes	characteristic, complemented
992	#463	C₂²×C₅₉	1	1	yes	characteristic
993	#463	C₂²×C₅₉	1	1	yes	characteristic
994	#463	C₂²×C₅₉	1	1	yes	characteristic
995	#463	C₂²×C₅₉	1	1	yes	characteristic, complemented
996	#462	C₂²×C₅₉	1	1	yes	characteristic, complemented
997	#461	C₂²×C₅₉	1	1	yes	characteristic
998	#461	C₂²×C₅₉	1	1	yes	characteristic
999	#461	C₂²×C₅₉	1	1	yes	characteristic, complemented
1000	#460	C₂²×C₅₉	1	1	yes	characteristic
1001	#460	C₂²×C₅₉	1	1	yes	characteristic
1002	#460	C₂²×C₅₉	1	1	yes	characteristic
1003	#459	C₂²×C₅₉	1	1	yes	characteristic
1004	#452	C₂²×C₅₉	1	1	yes	characteristic
1005	#452	C₂²×C₅₉	1	1	yes	characteristic
1006	#452	C₂²×C₅₉	1	1	yes	characteristic
1007	#452	C₂²×C₅₉	1	1	yes	characteristic, complemented
1008	#451	C₂²×C₅₉	1	1	yes	characteristic, complemented
1009	#450	C₂²×C₅₉	1	1	yes	characteristic
1010	#450	C₂²×C₅₉	1	1	yes	characteristic
1011	#450	C₂²×C₅₉	1	1	yes	characteristic
1012	#449	C₂²×C₅₉	1	1	yes	characteristic
1013	#449	C₂²×C₅₉	1	1	yes	characteristic
1014	#449	C₂²×C₅₉	1	1	yes	characteristic
1015	#449	C₂²×C₅₉	1	1	yes	characteristic, complemented
1016	#448	C₂²×C₅₉	1	1	yes	characteristic
1017	#448	C₂²×C₅₉	1	1	yes	characteristic
1018	#448	C₂²×C₅₉	1	1	yes	characteristic, complemented
1019	#447	C₂²×C₅₉	1	1	yes	characteristic
1020	#442	C₂²×C₅₉	1	1	yes	characteristic
1021	#442	C₂²×C₅₉	1	1	yes	characteristic
1022	#442	C₂²×C₅₉	1	1	yes	characteristic, complemented
1023	#441	C₂²×C₅₉	1	1	yes	characteristic, complemented
1024	#441	C₂²×C₅₉	1	1	yes	characteristic, complemented
1025	#441	C₂²×C₅₉	1	1	yes	characteristic, complemented
1026	#440	C₂²×C₅₉	1	1	yes	characteristic
1027	#440	C₂²×C₅₉	1	1	yes	characteristic
1028	#440	C₂²×C₅₉	1	1	yes	characteristic
1029	#440	C₂²×C₅₉	1	1	yes	characteristic
1030	#440	C₂²×C₅₉	1	1	yes	characteristic
1031	#440	C₂²×C₅₉	1	1	yes	characteristic
1032	#440	C₂²×C₅₉	1	1	yes	characteristic, complemented
1033	#440	C₂²×C₅₉	1	1	yes	characteristic, complemented
1034	#440	C₂²×C₅₉	1	1	yes	characteristic, complemented
1035	#440	C₂²×C₅₉	1	1	yes	characteristic, complemented
1036	#433	C₂²×C₅₉	1	1	yes	characteristic
1037	#433	C₂²×C₅₉	1	1	yes	characteristic
1038	#433	C₂²×C₅₉	1	1	yes	characteristic, complemented
1039	#433	C₂²×C₅₉	1	1	yes	characteristic, complemented
1040	#432	C₂²×C₅₉	1	1	yes	characteristic
1041	#432	C₂²×C₅₉	1	1	yes	characteristic
1042	#432	C₂²×C₅₉	1	1	yes	characteristic, complemented
1043	#432	C₂²×C₅₉	1	1	yes	characteristic, complemented
1044	#424	C₂²×C₅₉	1	1	yes	characteristic, complemented
1045	#424	C₂²×C₅₉	1	1	yes	characteristic, complemented
1046	#408	C₂²×C₅₉	1	1	yes	characteristic
1047	#408	C₂²×C₅₉	1	1	yes	characteristic
1048	C₄×M₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
1049	C₂×#97	C₂²×C₅₉	1	1	yes	characteristic, complemented
1050	C₅₉	#60973	1	1	yes	characteristic, direct product factor, Sylow
1051	C₂×#41	—	2	1	no	—
1052	C₂×#41	—	2	1	no	—
1053	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1054	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1055	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1056	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1057	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
1058	C₂³×C₄	—	2	1	no	—
1059	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1060	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1061	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1064	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1072	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1073	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1074	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1075	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1076	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1077	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1078	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1079	C₄⋊Q₈	—	2	1	no	—
1080	C₄⋊Q₈	—	2	1	no	—
1081	C₄⋊Q₈	—	2	1	no	—
1082	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1083	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1084	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1085	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1086	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1087	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1088	#127	—	2	1	no	—
1089	#127	C₂³×C₅₉	1	1	yes	characteristic
1090	#127	C₂³×C₅₉	1	1	yes	characteristic
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	—	2	1	no	—
1106	#125	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	C₂³×C₅₉	1	1	yes	characteristic
1112	#125	C₂³×C₅₉	1	1	yes	characteristic
1113	#125	C₂³×C₅₉	1	1	yes	characteristic
1114	#125	C₂³×C₅₉	1	1	yes	characteristic
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	—	2	1	no	—
1123	#124	C₂³×C₅₉	1	1	yes	characteristic
1124	#124	C₂³×C₅₉	1	1	yes	characteristic
1125	#124	C₂³×C₅₉	1	1	yes	characteristic
1126	#124	C₂³×C₅₉	1	1	yes	characteristic
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	C₂³×C₅₉	1	1	yes	characteristic
1180	#121	C₂³×C₅₉	1	1	yes	characteristic
1181	#121	C₂³×C₅₉	1	1	yes	characteristic
1182	#121	C₂³×C₅₉	1	1	yes	characteristic
1183	#121	C₂³×C₅₉	1	1	yes	characteristic
1184	#121	C₂³×C₅₉	1	1	yes	characteristic
1185	#121	C₂³×C₅₉	1	1	yes	characteristic
1186	#121	C₂³×C₅₉	1	1	yes	characteristic
1187	#120	—	2	1	no	—
1188	#120	—	2	1	no	—
1189	#120	—	2	1	no	—
1190	#120	—	2	1	no	—
1191	C₄×Q₈	—	2	1	no	—
1192	C₄×Q₈	—	2	1	no	—
1193	C₄×Q₈	—	2	1	no	—
1194	C₄×Q₈	—	2	1	no	—
1195	C₄×Q₈	D₄×C₅₉	1	1	yes	characteristic
1196	C₄×Q₈	D₄×C₅₉	1	1	yes	characteristic
1197	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1198	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1199	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1200	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1201	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1202	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1203	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1204	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1218	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1219	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1220	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1221	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1222	C₄×D₄	D₄×C₅₉	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1225	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1226	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	2	1	no	—
1236	#117	—	2	1	no	—
1237	#117	—	2	1	no	—
1238	#117	—	2	1	no	—
1239	#117	C₂³×C₅₉	1	1	yes	characteristic
1240	#117	C₂³×C₅₉	1	1	yes	characteristic
1241	#117	C₂³×C₅₉	1	1	yes	characteristic
1242	#117	C₂³×C₅₉	1	1	yes	characteristic
1243	#117	C₂³×C₅₉	1	1	yes	characteristic
1244	C₂×C₄⋊C₄	—	2	1	no	—
1245	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1247	C₂×C₂²⋊C₄	—	2	1	no	—
1248	C₂×C₄²	—	2	1	no	—
1249	C₂×C₄²	—	2	1	no	—
1250	C₂×C₄²	—	2	1	no	—
1251	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1252	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1253	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1254	#107	C₂³×C₅₉	1	1	yes	characteristic
1255	#107	C₂³×C₅₉	1	1	yes	characteristic
1256	#107	C₂³×C₅₉	1	1	yes	characteristic
1257	#107	C₂³×C₅₉	1	1	yes	characteristic
1258	#107	C₂³×C₅₉	1	1	yes	characteristic
1259	#107	C₂³×C₅₉	1	1	yes	characteristic
1260	#107	C₂³×C₅₉	1	1	yes	characteristic
1261	#107	C₂³×C₅₉	1	1	yes	characteristic
1262	#107	C₂³×C₅₉	1	1	yes	characteristic
1263	#107	C₂³×C₅₉	1	1	yes	characteristic
1264	#106	C₂³×C₅₉	1	1	yes	characteristic
1265	#106	C₂³×C₅₉	1	1	yes	characteristic
1266	#106	C₂³×C₅₉	1	1	yes	characteristic
1267	#106	C₂³×C₅₉	1	1	yes	characteristic
1268	#106	C₂³×C₅₉	1	1	yes	characteristic
1269	#106	C₂³×C₅₉	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1278	#103	C₂³×C₅₉	1	1	yes	characteristic
1279	#103	C₂³×C₅₉	1	1	yes	characteristic
1280	#103	C₂³×C₅₉	1	1	yes	characteristic
1281	#103	C₂³×C₅₉	1	1	yes	characteristic
1282	#103	C₂³×C₅₉	1	1	yes	characteristic
1283	#103	C₂³×C₅₉	1	1	yes	characteristic
1284	#103	C₂³×C₅₉	1	1	yes	characteristic
1285	#103	C₂³×C₅₉	1	1	yes	characteristic
1286	#103	C₂³×C₅₉	1	1	yes	characteristic
1287	#103	C₂³×C₅₉	1	1	yes	characteristic
1288	#103	C₂³×C₅₉	1	1	yes	characteristic
1289	#103	C₂³×C₅₉	1	1	yes	characteristic
1290	#103	C₂³×C₅₉	1	1	yes	characteristic
1291	#103	C₂³×C₅₉	1	1	yes	characteristic
1292	#103	C₂³×C₅₉	1	1	yes	characteristic
1293	#103	C₂³×C₅₉	1	1	yes	characteristic
1294	#102	C₂³×C₅₉	1	1	yes	characteristic
1295	#102	C₂³×C₅₉	1	1	yes	characteristic
1296	#102	C₂³×C₅₉	1	1	yes	characteristic
1297	#102	C₂³×C₅₉	1	1	yes	characteristic
1298	#102	C₂³×C₅₉	1	1	yes	characteristic
1299	#102	C₂³×C₅₉	1	1	yes	characteristic
1300	#102	C₂³×C₅₉	1	1	yes	characteristic
1301	#102	C₂³×C₅₉	1	1	yes	characteristic
1302	#102	C₂³×C₅₉	1	1	yes	characteristic
1303	#102	C₂³×C₅₉	1	1	yes	characteristic
1304	#102	C₂³×C₅₉	1	1	yes	characteristic
1305	#102	C₂³×C₅₉	1	1	yes	characteristic
1306	#102	C₂³×C₅₉	1	1	yes	characteristic
1307	#102	C₂³×C₅₉	1	1	yes	characteristic
1308	#102	C₂³×C₅₉	1	1	yes	characteristic
1309	#102	C₂³×C₅₉	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1318	#97	C₂³×C₅₉	1	1	yes	characteristic
1319	#97	C₂³×C₅₉	1	1	yes	characteristic
1320	#97	C₂³×C₅₉	1	1	yes	characteristic
1321	#97	C₂³×C₅₉	1	1	yes	characteristic
1322	#97	C₂³×C₅₉	1	1	yes	characteristic
1323	#97	C₂³×C₅₉	1	1	yes	characteristic
1324	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1325	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1326	C₂⁴	—	2	1	no	—
1327	#41	—	4	1	no	—
1328	#41	—	4	1	no	—
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	4	1	no	—
1333	#41	—	8	2	no	—
1334	#41	—	8	2	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	2	1	no	—
1340	C₂×Q₈	—	4	1	no	—
1341	C₂×Q₈	—	4	1	no	—
1342	C₂×Q₈	C₂×D₄×C₅₉	1	1	yes	characteristic
1343	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1344	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1345	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1346	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	4	1	no	—
1363	C₂×D₄	—	4	1	no	—
1364	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1365	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1366	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1367	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1368	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1369	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1370	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	8	2	no	—
1385	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1386	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1387	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1388	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1389	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1390	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1392	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1393	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	4	1	no	—
1396	Q₁₆	—	4	1	no	—
1397	SD₁₆	—	4	1	no	—
1398	SD₁₆	—	4	1	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	4	1	no	—
1401	SD₁₆	—	4	1	no	—
1402	SD₁₆	—	4	1	no	—
1403	SD₁₆	—	4	1	no	—
1404	SD₁₆	—	4	1	no	—
1405	SD₁₆	—	4	1	no	—
1406	SD₁₆	—	4	1	no	—
1407	D₈	—	4	1	no	—
1408	D₈	—	4	1	no	—
1409	D₈	—	4	1	no	—
1410	M₁₆	—	4	1	no	—
1411	M₁₆	—	4	1	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	—	4	1	no	—
1414	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1420	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1421	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1505	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1521	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1522	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1523	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1524	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1525	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1526	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1527	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1528	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1529	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1530	C₂³	—	2	1	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	4	2	no	—
1535	C₂³	—	8	1	no	—
1536	C₂³	—	8	1	no	—
1537	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1538	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1539	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	4	1	no	—
1549	Q₈	—	4	2	no	—
1550	Q₈	—	8	1	no	—
1551	Q₈	—	8	1	no	—
1552	Q₈	—	8	1	no	—
1553	Q₈	—	8	1	no	—
1554	D₄	—	2	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	4	1	no	—
1563	D₄	—	4	1	no	—
1564	D₄	—	4	1	no	—
1565	D₄	—	4	2	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	8	1	no	—
1570	D₄	—	8	1	no	—
1571	D₄	—	8	1	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	2	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	4	2	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1618	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1619	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1620	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1626	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1627	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1628	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	8	4	no	—
1659	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	C₅₉×#585	1	1	yes	characteristic
1684	C₄	C₅₉×#585	1	1	yes	characteristic
1685	C₂	—	4	1	no	—
1686	C₂	—	4	1	no	—
1687	C₂	—	4	1	no	—
1688	C₂	—	8	1	no	—
1689	C₂	—	8	1	no	—
1690	C₂	—	8	1	no	—
1691	C₂	—	8	1	no	—
1692	C₂	C₅₉×#3449	1	1	yes	characteristic
1693	C₂	C₅₉×#3585	1	1	yes	characteristic
1694	C₂	C₅₉×#3586	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 ◁ C₄×#41×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₉×#3461	C₂	semidirect
2. C₅₉×#3460	C₂	semidirect
3. C₅₉×#3262	C₂	semidirect
4. C₅₉×#3260	C₂	semidirect
5. C₅₉×#3258	C₂	semidirect
6. C₅₉×#3257	C₂	semidirect
7. C₅₉×#3243	C₂	semidirect
8. C₅₉×#3243	C₂	semidirect
9. C₅₉×#3242	C₂	semidirect
10. C₅₉×#3241	C₂	semidirect
11. C₅₉×#3225	C₂	semidirect
12. C₅₉×#3224	C₂	semidirect
13. C₅₉×#3222	C₂	semidirect
14. C₅₉×#3221	C₂	semidirect
15. C₅₉×#3203	C₂	semidirect
16. C₅₉×#3201	C₂	semidirect
17. C₅₉×#3200	C₂	semidirect
18. C₅₉×#3198	C₂	semidirect
19. C₅₉×#3183	C₂	semidirect
20. C₅₉×#3182	C₂	semidirect
21. C₅₉×#3181	C₂	semidirect
22. C₅₉×#3180	C₂	semidirect
23. C₅₉×#3117	C₂	semidirect
24. C₅₉×#3116	C₂	semidirect
25. C₅₉×#3115	C₂	semidirect
26. C₅₉×#3114	C₂	semidirect
27. C₅₉×#3112	C₂	semidirect
28. C₅₉×#3111	C₂	semidirect
29. C₅₉×#3111	C₂	semidirect
30. C₅₉×#3110	C₂	semidirect
31. C₅₉×#2923	C₂	semidirect
33. C₅₉×#544	C₂²	semidirect
39. C₅₉×#542	C₂²	semidirect
42. C₅₉×#541	C₂²	semidirect
53. C₅₉×#536	C₂²	semidirect
58. C₅₉×#533	C₂²	semidirect
69. C₅₉×#529	C₂²	semidirect
74. C₄×#41×C₅₉	C₂²	semidirect
75. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
77. C₅₉×#501	C₂²	semidirect
78. C₅₉×#501	C₂²	semidirect
79. C₅₉×#500	C₂²	semidirect
80. C₅₉×#499	C₂²	semidirect
85. C₅₉×#491	C₂²	semidirect
88. C₅₉×#489	C₂²	semidirect
90. C₅₉×#488	C₂²	semidirect
91. C₅₉×#487	C₂²	semidirect
96. C₅₉×#485	C₂²	semidirect
99. C₅₉×#484	C₂²	semidirect
104. C₅₉×#482	C₂²	semidirect
108. C₅₉×#480	C₂²	semidirect
109. C₅₉×#479	C₂²	semidirect
110. C₅₉×#479	C₂²	semidirect
111. C₅₉×#479	C₂²	semidirect
112. C₅₉×#479	C₂²	semidirect
115. C₅₉×#478	C₂²	semidirect
116. C₅₉×#478	C₂²	semidirect
117. C₅₉×#477	C₂²	semidirect
118. C₅₉×#477	C₂²	semidirect
119. C₅₉×#477	C₂²	semidirect
120. C₅₉×#476	C₂²	semidirect
121. C₅₉×#475	C₂²	semidirect
124. C₅₉×#474	C₂²	semidirect
125. C₅₉×#470	C₂²	semidirect
130. C₅₉×#468	C₂²	semidirect
131. C₅₉×#468	C₂²	semidirect
132. C₅₉×#468	C₂²	semidirect
133. C₅₉×#467	C₂²	semidirect
134. C₅₉×#467	C₂²	semidirect
136. C₅₉×#466	C₂²	semidirect
140. C₅₉×#465	C₂²	semidirect
144. C₅₉×#464	C₂²	semidirect
148. C₅₉×#463	C₂²	semidirect
149. C₅₉×#462	C₂²	semidirect
152. C₅₉×#461	C₂²	semidirect
160. C₅₉×#452	C₂²	semidirect
161. C₅₉×#451	C₂²	semidirect
168. C₅₉×#449	C₂²	semidirect
171. C₅₉×#448	C₂²	semidirect
175. C₅₉×#442	C₂²	semidirect
176. C₅₉×#441	C₂²	semidirect
177. C₅₉×#441	C₂²	semidirect
178. C₅₉×#441	C₂²	semidirect
185. C₅₉×#440	C₂²	semidirect
186. C₅₉×#440	C₂²	semidirect
187. C₅₉×#440	C₂²	semidirect
188. C₅₉×#440	C₂²	semidirect
191. C₅₉×#433	C₂²	semidirect
192. C₅₉×#433	C₂²	semidirect
195. C₅₉×#432	C₂²	semidirect
196. C₅₉×#432	C₂²	semidirect
197. C₅₉×#424	C₂²	semidirect
198. C₅₉×#424	C₂²	semidirect
201. C₄×M₁₆×C₅₉	C₂²	semidirect
202. C₂×#97×C₅₉	C₂²	semidirect
789. #60973	C₅₉	direct (N × H)
838. #3461	C₂×C₅₉	semidirect
839. #3460	C₂×C₅₉	semidirect
840. #3262	C₂×C₅₉	semidirect
841. #3260	C₂×C₅₉	semidirect
842. #3258	C₂×C₅₉	semidirect
843. #3257	C₂×C₅₉	semidirect
844. #3243	C₂×C₅₉	semidirect
845. #3243	C₂×C₅₉	semidirect
846. #3242	C₂×C₅₉	semidirect
847. #3241	C₂×C₅₉	semidirect
848. #3225	C₂×C₅₉	semidirect
849. #3224	C₂×C₅₉	semidirect
850. #3222	C₂×C₅₉	semidirect
851. #3221	C₂×C₅₉	semidirect
852. #3203	C₂×C₅₉	semidirect
853. #3201	C₂×C₅₉	semidirect
854. #3200	C₂×C₅₉	semidirect
855. #3198	C₂×C₅₉	semidirect
856. #3183	C₂×C₅₉	semidirect
857. #3182	C₂×C₅₉	semidirect
858. #3181	C₂×C₅₉	semidirect
859. #3180	C₂×C₅₉	semidirect
860. #3117	C₂×C₅₉	semidirect
861. #3116	C₂×C₅₉	semidirect
862. #3115	C₂×C₅₉	semidirect
863. #3114	C₂×C₅₉	semidirect
864. #3112	C₂×C₅₉	semidirect
865. #3111	C₂×C₅₉	semidirect
866. #3111	C₂×C₅₉	semidirect
867. #3110	C₂×C₅₉	semidirect
868. #2923	C₂×C₅₉	semidirect
880. #544	C₂²×C₅₉	semidirect
886. #542	C₂²×C₅₉	semidirect
889. #541	C₂²×C₅₉	semidirect
900. #536	C₂²×C₅₉	semidirect
905. #533	C₂²×C₅₉	semidirect
916. #529	C₂²×C₅₉	semidirect
921. C₄×#41	C₂²×C₅₉	semidirect
922. C₂×C₄×Q₈	C₂²×C₅₉	semidirect
924. #501	C₂²×C₅₉	semidirect
925. #501	C₂²×C₅₉	semidirect
926. #500	C₂²×C₅₉	semidirect
927. #499	C₂²×C₅₉	semidirect
932. #491	C₂²×C₅₉	semidirect
935. #489	C₂²×C₅₉	semidirect
937. #488	C₂²×C₅₉	semidirect
938. #487	C₂²×C₅₉	semidirect
943. #485	C₂²×C₅₉	semidirect
946. #484	C₂²×C₅₉	semidirect
951. #482	C₂²×C₅₉	semidirect
955. #480	C₂²×C₅₉	semidirect
956. #479	C₂²×C₅₉	semidirect
957. #479	C₂²×C₅₉	semidirect
958. #479	C₂²×C₅₉	semidirect
959. #479	C₂²×C₅₉	semidirect
962. #478	C₂²×C₅₉	semidirect
963. #478	C₂²×C₅₉	semidirect
964. #477	C₂²×C₅₉	semidirect
965. #477	C₂²×C₅₉	semidirect
966. #477	C₂²×C₅₉	semidirect
967. #476	C₂²×C₅₉	semidirect
968. #475	C₂²×C₅₉	semidirect
971. #474	C₂²×C₅₉	semidirect
972. #470	C₂²×C₅₉	semidirect
977. #468	C₂²×C₅₉	semidirect
978. #468	C₂²×C₅₉	semidirect
979. #468	C₂²×C₅₉	semidirect
980. #467	C₂²×C₅₉	semidirect
981. #467	C₂²×C₅₉	semidirect
983. #466	C₂²×C₅₉	semidirect
987. #465	C₂²×C₅₉	semidirect
991. #464	C₂²×C₅₉	semidirect
995. #463	C₂²×C₅₉	semidirect
996. #462	C₂²×C₅₉	semidirect
999. #461	C₂²×C₅₉	semidirect
1007. #452	C₂²×C₅₉	semidirect
1008. #451	C₂²×C₅₉	semidirect
1015. #449	C₂²×C₅₉	semidirect
1018. #448	C₂²×C₅₉	semidirect
1022. #442	C₂²×C₅₉	semidirect
1023. #441	C₂²×C₅₉	semidirect
1024. #441	C₂²×C₅₉	semidirect
1025. #441	C₂²×C₅₉	semidirect
1032. #440	C₂²×C₅₉	semidirect
1033. #440	C₂²×C₅₉	semidirect
1034. #440	C₂²×C₅₉	semidirect
1035. #440	C₂²×C₅₉	semidirect
1038. #433	C₂²×C₅₉	semidirect
1039. #433	C₂²×C₅₉	semidirect
1042. #432	C₂²×C₅₉	semidirect
1043. #432	C₂²×C₅₉	semidirect
1044. #424	C₂²×C₅₉	semidirect
1045. #424	C₂²×C₅₉	semidirect
1048. C₄×M₁₆	C₂²×C₅₉	semidirect
1049. C₂×#97	C₂²×C₅₉	semidirect
1050. C₅₉	#60973	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×#3461	2
C₅₉×#3460	2
C₅₉×#3262	2
C₅₉×#3260	2
C₅₉×#3258	2
C₅₉×#3257	2
C₅₉×#3243	2
C₅₉×#3242	2
C₅₉×#3241	2
C₅₉×#3225	2
C₅₉×#3224	2
C₅₉×#3222	2
C₅₉×#3221	2
C₅₉×#3203	2
C₅₉×#3201	2
C₅₉×#3200	2
C₅₉×#3198	2
C₅₉×#3183	2
C₅₉×#3182	2
C₅₉×#3181	2
C₅₉×#3180	2
C₅₉×#3117	2
C₅₉×#3116	2
C₅₉×#3115	2
C₅₉×#3114	2
C₅₉×#3112	2
C₅₉×#3111	2
C₅₉×#3110	2
C₅₉×#2923	2
#60973	59

Subgroups — C59×#60973 #28473082

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#60973 #28473082