Subgroups — C₅₉×#62213 #28474322

Order 15104.

1698 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3559	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#3388	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#3351	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#3346	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#3345	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#3339	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#3337	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3335	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#3326	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#3320	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#3308	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#3301	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#3301	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#3298	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#3244	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#3242	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₉×#3232	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₉×#3126	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₉×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₉×#3103	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₉×#3084	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₉×#3082	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₅₉×#479	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅₉×#563	—	2	1	no	—
33	C₅₉×#562	—	2	1	no	—
34	C₅₉×#557	C₂²	1	1	yes	characteristic
35	C₅₉×#556	—	2	1	no	—
36	C₅₉×#556	C₂²	1	1	yes	characteristic
37	C₅₉×#554	—	2	1	no	—
38	C₅₉×#554	C₂²	1	1	yes	characteristic
39	C₅₉×#554	C₂²	1	1	yes	characteristic
40	C₅₉×#554	C₂²	1	1	yes	characteristic
41	C₅₉×#553	—	2	1	no	—
42	C₅₉×#553	C₂²	1	1	yes	characteristic
43	C₅₉×#553	C₂²	1	1	yes	characteristic
44	C₅₉×#553	C₂²	1	1	yes	characteristic
45	C₅₉×#553	C₂²	1	1	yes	characteristic
46	C₅₉×#553	C₂²	1	1	yes	characteristic
47	C₅₉×#552	—	2	1	no	—
48	C₅₉×#552	C₂²	1	1	yes	characteristic
49	D₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
50	C₅₉×#548	C₂²	1	1	yes	characteristic
51	C₅₉×#548	C₂²	1	1	yes	characteristic
52	C₅₉×#547	—	2	1	no	—
53	C₅₉×#547	—	2	1	no	—
54	C₅₉×#547	C₂²	1	1	yes	characteristic
55	C₅₉×#547	C₂²	1	1	yes	characteristic
56	C₅₉×#544	C₂²	1	1	yes	characteristic
57	C₅₉×#544	C₂²	1	1	yes	characteristic
58	C₅₉×#542	—	2	1	no	—
59	C₅₉×#542	C₂²	1	1	yes	characteristic
60	C₅₉×#541	—	2	1	no	—
61	C₅₉×#541	C₂²	1	1	yes	characteristic
62	C₅₉×#540	C₂²	1	1	yes	characteristic
63	C₅₉×#540	C₂²	1	1	yes	characteristic
64	C₅₉×#539	—	2	1	no	—
65	C₅₉×#539	—	2	1	no	—
66	C₅₉×#539	—	2	1	no	—
67	C₅₉×#537	—	2	1	no	—
68	C₅₉×#532	C₂²	1	1	yes	characteristic
69	C₅₉×#529	—	2	1	no	—
70	C₅₉×#529	—	2	1	no	—
71	C₅₉×#529	C₂²	1	1	yes	characteristic
72	C₅₉×#529	C₂²	1	1	yes	characteristic
73	C₂×#125×C₅₉	C₂²	1	1	yes	characteristic
74	C₅₉×#520	C₂²	1	1	yes	characteristic
75	C₅₉×#519	C₂²	1	1	yes	characteristic
76	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
77	C₅₉×#501	C₂²	1	1	yes	characteristic
78	C₅₉×#501	C₂²	1	1	yes	characteristic
79	C₅₉×#499	C₂²	1	1	yes	characteristic
80	C₅₉×#499	C₂²	1	1	yes	characteristic
81	C₅₉×#499	C₂²	1	1	yes	characteristic
82	C₅₉×#498	C₂²	1	1	yes	characteristic
83	C₅₉×#491	C₂²	1	1	yes	characteristic
84	C₅₉×#489	C₂²	1	1	yes	characteristic
85	C₅₉×#488	C₂²	1	1	yes	characteristic
86	C₅₉×#488	C₂²	1	1	yes	characteristic
87	C₅₉×#488	C₂²	1	1	yes	characteristic
88	C₅₉×#487	C₂²	1	1	yes	characteristic
89	C₅₉×#485	C₂²	1	1	yes	characteristic
90	C₅₉×#485	C₂²	1	1	yes	characteristic
91	C₅₉×#485	C₂²	1	1	yes	characteristic
92	C₅₉×#484	C₂²	1	1	yes	characteristic
93	C₅₉×#484	C₂²	1	1	yes	characteristic
94	C₅₉×#483	C₂²	1	1	yes	characteristic
95	C₅₉×#483	C₂²	1	1	yes	characteristic
96	C₅₉×#483	C₂²	1	1	yes	characteristic
97	C₅₉×#482	C₂²	1	1	yes	characteristic
98	C₅₉×#482	C₂²	1	1	yes	characteristic
99	C₅₉×#482	C₂²	1	1	yes	characteristic
100	C₅₉×#481	C₂²	1	1	yes	characteristic
101	C₅₉×#481	C₂²	1	1	yes	characteristic
102	C₅₉×#481	C₂²	1	1	yes	characteristic
103	C₅₉×#481	C₂²	1	1	yes	characteristic
104	C₅₉×#481	C₂²	1	1	yes	characteristic
105	C₅₉×#480	C₂²	1	1	yes	characteristic
106	C₅₉×#480	C₂²	1	1	yes	characteristic
107	C₅₉×#479	C₂²	1	1	yes	characteristic
108	C₅₉×#479	C₂²	1	1	yes	characteristic
109	C₅₉×#479	C₂²	1	1	yes	characteristic
110	C₅₉×#479	C₂²	1	1	yes	characteristic
111	C₅₉×#479	C₂²	1	1	yes	characteristic
112	C₅₉×#479	C₂²	1	1	yes	characteristic
113	C₅₉×#479	C₂²	1	1	yes	characteristic
114	C₅₉×#479	C₂²	1	1	yes	characteristic
115	C₅₉×#479	C₂²	1	1	yes	characteristic
116	C₅₉×#479	C₂²	1	1	yes	characteristic
117	C₅₉×#479	C₂²	1	1	yes	characteristic
118	C₅₉×#479	C₂²	1	1	yes	characteristic
119	C₅₉×#479	C₂²	1	1	yes	characteristic
120	C₅₉×#478	C₂²	1	1	yes	characteristic
121	C₅₉×#478	C₂²	1	1	yes	characteristic
122	C₅₉×#478	C₂²	1	1	yes	characteristic
123	C₅₉×#478	C₂²	1	1	yes	characteristic
124	C₅₉×#478	C₂²	1	1	yes	characteristic
125	C₅₉×#478	C₂²	1	1	yes	characteristic
126	C₅₉×#478	C₂²	1	1	yes	characteristic
127	C₅₉×#477	C₂²	1	1	yes	characteristic
128	C₅₉×#477	C₂²	1	1	yes	characteristic
129	C₅₉×#476	C₂²	1	1	yes	characteristic
130	C₅₉×#476	C₂²	1	1	yes	characteristic
131	C₅₉×#476	C₂²	1	1	yes	characteristic
132	C₅₉×#475	C₂²	1	1	yes	characteristic
133	C₅₉×#475	C₂²	1	1	yes	characteristic
134	C₅₉×#475	C₂²	1	1	yes	characteristic
135	C₅₉×#475	C₂²	1	1	yes	characteristic
136	C₅₉×#474	C₂²	1	1	yes	characteristic
137	C₅₉×#469	C₂²	1	1	yes	characteristic
138	C₅₉×#468	C₂²	1	1	yes	characteristic
139	C₅₉×#468	C₂²	1	1	yes	characteristic
140	C₅₉×#468	C₂²	1	1	yes	characteristic
141	C₅₉×#466	C₂²	1	1	yes	characteristic
142	C₅₉×#466	C₂²	1	1	yes	characteristic
143	C₅₉×#466	C₂²	1	1	yes	characteristic
144	C₅₉×#465	C₂²	1	1	yes	characteristic
145	C₅₉×#465	C₂²	1	1	yes	characteristic
146	C₅₉×#465	C₂²	1	1	yes	characteristic
147	C₅₉×#465	C₂²	1	1	yes	characteristic
148	C₅₉×#465	C₂²	1	1	yes	characteristic
149	C₅₉×#463	C₂²	1	1	yes	characteristic
150	C₅₉×#463	C₂²	1	1	yes	characteristic
151	C₅₉×#463	C₂²	1	1	yes	characteristic
152	C₅₉×#463	C₂²	1	1	yes	characteristic
153	C₅₉×#461	C₂²	1	1	yes	characteristic
154	C₅₉×#461	C₂²	1	1	yes	characteristic
155	C₅₉×#460	C₂²	1	1	yes	characteristic
156	C₅₉×#460	C₂²	1	1	yes	characteristic
157	C₅₉×#460	C₂²	1	1	yes	characteristic
158	C₅₉×#459	C₂²	1	1	yes	characteristic
159	C₅₉×#449	C₂²	1	1	yes	characteristic
160	C₅₉×#449	C₂²	1	1	yes	characteristic
161	C₅₉×#448	C₂²	1	1	yes	characteristic
162	C₅₉×#448	C₂²	1	1	yes	characteristic
163	C₅₉×#448	C₂²	1	1	yes	characteristic
164	C₅₉×#448	C₂²	1	1	yes	characteristic
165	C₅₉×#446	C₂²	1	1	yes	characteristic
166	C₈×Q₈×C₅₉	C₂²	1	1	yes	characteristic
167	C₅₉×#442	C₂²	1	1	yes	characteristic
168	C₅₉×#440	C₂²	1	1	yes	characteristic
169	C₅₉×#440	C₂²	1	1	yes	characteristic
170	C₅₉×#440	C₂²	1	1	yes	characteristic
171	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
172	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
173	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
174	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
175	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
176	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
177	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
178	C₄×D₈×C₅₉	C₂²	1	1	yes	characteristic
179	C₅₉×#436	C₂²	1	1	yes	characteristic
180	C₅₉×#435	C₂²	1	1	yes	characteristic
181	C₅₉×#435	C₂²	1	1	yes	characteristic
182	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
183	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
185	C₅₉×#433	C₂²	1	1	yes	characteristic
186	C₅₉×#433	C₂²	1	1	yes	characteristic
187	C₅₉×#431	C₂²	1	1	yes	characteristic
188	C₅₉×#428	C₂²	1	1	yes	characteristic
189	C₅₉×#428	C₂²	1	1	yes	characteristic
190	C₅₉×#427	C₂²	1	1	yes	characteristic
191	C₂×#107×C₅₉	C₂²	1	1	yes	characteristic
192	C₂×#106×C₅₉	C₂²	1	1	yes	characteristic
193	C₂×#106×C₅₉	C₂²	1	1	yes	characteristic
194	C₅₉×#424	C₂²	1	1	yes	characteristic
195	C₅₉×#424	C₂²	1	1	yes	characteristic
196	C₂×C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
197	C₅₉×#419	C₂²	1	1	yes	characteristic
198	C₅₉×#417	C₂²	1	1	yes	characteristic
199	C₅₉×#416	C₂²	1	1	yes	characteristic
200	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
201	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
202	C₂×#103×C₅₉	C₂²	1	1	yes	characteristic
203	C₂×#41×C₅₉	—	2	1	no	—
204	C₂×#41×C₅₉	—	2	1	no	—
205	C₂×#41×C₅₉	—	2	1	no	—
206	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
209	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
210	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
211	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
212	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
215	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
216	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
217	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
223	C₄⋊Q₈×C₅₉	—	2	1	no	—
224	C₄⋊Q₈×C₅₉	—	2	1	no	—
225	C₄⋊Q₈×C₅₉	—	2	1	no	—
226	C₄⋊Q₈×C₅₉	—	2	1	no	—
227	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
228	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
229	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
230	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
232	#127×C₅₉	C₂³	1	1	yes	characteristic
233	#126×C₅₉	—	2	1	no	—
234	#126×C₅₉	—	2	1	no	—
235	#126×C₅₉	—	2	1	no	—
236	#126×C₅₉	—	2	1	no	—
237	#126×C₅₉	—	2	1	no	—
238	#126×C₅₉	—	2	1	no	—
239	#126×C₅₉	—	2	1	no	—
240	#126×C₅₉	—	2	1	no	—
241	#126×C₅₉	—	2	1	no	—
242	#126×C₅₉	—	2	1	no	—
243	#126×C₅₉	—	2	1	no	—
244	#126×C₅₉	—	2	1	no	—
245	#126×C₅₉	D₄	1	1	yes	characteristic
246	#126×C₅₉	D₄	1	1	yes	characteristic
247	#125×C₅₉	—	2	1	no	—
248	#125×C₅₉	—	2	1	no	—
249	#125×C₅₉	—	2	1	no	—
250	#125×C₅₉	—	2	1	no	—
251	#125×C₅₉	—	2	1	no	—
252	#125×C₅₉	—	2	1	no	—
253	#125×C₅₉	—	2	1	no	—
254	#125×C₅₉	—	2	1	no	—
255	#125×C₅₉	—	2	1	no	—
256	#125×C₅₉	—	2	1	no	—
257	#125×C₅₉	D₄	1	1	yes	characteristic
258	#125×C₅₉	C₂³	1	1	yes	characteristic
259	#125×C₅₉	C₂³	1	1	yes	characteristic
260	#125×C₅₉	C₂³	1	1	yes	characteristic
261	#125×C₅₉	C₂³	1	1	yes	characteristic
262	#125×C₅₉	C₂³	1	1	yes	characteristic
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	#124×C₅₉	—	2	1	no	—
267	#124×C₅₉	—	2	1	no	—
268	#124×C₅₉	—	2	1	no	—
269	#124×C₅₉	—	2	1	no	—
270	#124×C₅₉	D₄	1	1	yes	characteristic
271	#124×C₅₉	C₂³	1	1	yes	characteristic
272	#124×C₅₉	C₂³	1	1	yes	characteristic
273	#123×C₅₉	—	2	1	no	—
274	#123×C₅₉	—	2	1	no	—
275	#123×C₅₉	—	2	1	no	—
276	#123×C₅₉	—	2	1	no	—
277	#123×C₅₉	—	2	1	no	—
278	#123×C₅₉	—	2	1	no	—
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	D₄	1	1	yes	characteristic
290	#123×C₅₉	D₄	1	1	yes	characteristic
291	C₂²⋊Q₈×C₅₉	—	2	1	no	—
292	C₂²⋊Q₈×C₅₉	—	2	1	no	—
293	C₂²⋊Q₈×C₅₉	—	2	1	no	—
294	C₂²⋊Q₈×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	—	2	1	no	—
310	C₂²⋊Q₈×C₅₉	—	2	1	no	—
311	C₂²⋊Q₈×C₅₉	D₄	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	#121×C₅₉	—	2	1	no	—
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	D₄	1	1	yes	characteristic
329	#121×C₅₉	C₂³	1	1	yes	characteristic
330	#121×C₅₉	C₂³	1	1	yes	characteristic
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	C₄×Q₈×C₅₉	—	2	1	no	—
338	C₄×Q₈×C₅₉	—	2	1	no	—
339	C₄×Q₈×C₅₉	—	2	1	no	—
340	C₄×Q₈×C₅₉	—	2	1	no	—
341	C₄×Q₈×C₅₉	—	2	1	no	—
342	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
351	C₄×D₄×C₅₉	—	2	1	no	—
352	C₄×D₄×C₅₉	—	2	1	no	—
353	C₄×D₄×C₅₉	—	2	1	no	—
354	C₄×D₄×C₅₉	—	2	1	no	—
355	C₄×D₄×C₅₉	—	2	1	no	—
356	C₄×D₄×C₅₉	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
375	#117×C₅₉	—	2	1	no	—
376	#117×C₅₉	—	2	1	no	—
377	#117×C₅₉	—	2	1	no	—
378	#117×C₅₉	—	2	1	no	—
379	#117×C₅₉	—	2	1	no	—
380	#117×C₅₉	—	2	1	no	—
381	#117×C₅₉	C₂³	1	1	yes	characteristic
382	#117×C₅₉	C₂³	1	1	yes	characteristic
383	#117×C₅₉	C₂³	1	1	yes	characteristic
384	#117×C₅₉	C₂³	1	1	yes	characteristic
385	#117×C₅₉	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
387	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
388	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
389	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
390	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
391	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
392	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
398	C₂×C₄²×C₅₉	—	2	1	no	—
399	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
400	#107×C₅₉	C₂³	1	1	yes	characteristic
401	#107×C₅₉	C₂³	1	1	yes	characteristic
402	#107×C₅₉	C₂³	1	1	yes	characteristic
403	#107×C₅₉	C₂³	1	1	yes	characteristic
404	#107×C₅₉	C₂³	1	1	yes	characteristic
405	#107×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	#106×C₅₉	C₂³	1	1	yes	characteristic
411	#106×C₅₉	C₂³	1	1	yes	characteristic
412	#106×C₅₉	C₂³	1	1	yes	characteristic
413	#106×C₅₉	C₂³	1	1	yes	characteristic
414	#106×C₅₉	C₂³	1	1	yes	characteristic
415	#106×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	#106×C₅₉	C₂³	1	1	yes	characteristic
423	#106×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	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
433	C₄⋊C₈×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	#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	#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	#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	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	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
472	#97×C₅₉	C₂³	1	1	yes	characteristic
473	#97×C₅₉	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
475	C₄×C₈×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	#41×C₅₉	—	2	2	no	—
479	#41×C₅₉	—	4	1	no	—
480	#41×C₅₉	—	8	2	no	—
481	#41×C₅₉	—	8	2	no	—
482	#41×C₅₉	—	8	2	no	—
483	C₂×Q₈×C₅₉	—	2	1	no	—
484	C₂×Q₈×C₅₉	—	2	1	no	—
485	C₂×Q₈×C₅₉	—	2	1	no	—
486	C₂×Q₈×C₅₉	—	2	1	no	—
487	C₂×Q₈×C₅₉	—	2	1	no	—
488	C₂×Q₈×C₅₉	—	2	1	no	—
489	C₂×Q₈×C₅₉	—	2	2	no	—
490	C₂×Q₈×C₅₉	—	2	2	no	—
491	C₂×Q₈×C₅₉	—	4	1	no	—
492	C₂×Q₈×C₅₉	—	4	1	no	—
493	C₂×Q₈×C₅₉	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₅₉	—	2	1	no	—
498	C₂×D₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
510	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₅₉	—	2	1	no	—
515	C₂²×C₄×C₅₉	—	2	1	no	—
516	C₂²×C₄×C₅₉	—	2	1	no	—
517	C₂²×C₄×C₅₉	—	2	1	no	—
518	C₂²×C₄×C₅₉	—	2	1	no	—
519	C₂²×C₄×C₅₉	—	2	1	no	—
520	C₂²×C₄×C₅₉	—	2	1	no	—
521	C₂²×C₄×C₅₉	—	2	1	no	—
522	C₂²×C₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
533	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
536	SD₁₆×C₅₉	—	2	2	no	—
537	SD₁₆×C₅₉	—	2	2	no	—
538	SD₁₆×C₅₉	—	4	1	no	—
539	SD₁₆×C₅₉	—	4	1	no	—
540	SD₁₆×C₅₉	—	4	1	no	—
541	SD₁₆×C₅₉	—	4	1	no	—
542	D₈×C₅₉	—	4	1	no	—
543	D₈×C₅₉	—	4	1	no	—
544	M₁₆×C₅₉	—	4	1	no	—
545	M₁₆×C₅₉	—	4	1	no	—
546	C₂×C₈×C₅₉	—	4	1	no	—
547	C₂×C₈×C₅₉	—	4	1	no	—
548	C₂×C₈×C₅₉	—	4	1	no	—
549	C₂×C₈×C₅₉	—	4	1	no	—
550	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
558	C₄⋊C₄×C₅₉	—	2	1	no	—
559	C₄⋊C₄×C₅₉	—	2	1	no	—
560	C₄⋊C₄×C₅₉	—	2	1	no	—
561	C₄⋊C₄×C₅₉	—	2	1	no	—
562	C₄⋊C₄×C₅₉	—	2	1	no	—
563	C₄⋊C₄×C₅₉	—	2	1	no	—
564	C₄⋊C₄×C₅₉	—	2	1	no	—
565	C₄⋊C₄×C₅₉	—	2	1	no	—
566	C₄⋊C₄×C₅₉	—	2	1	no	—
567	C₄⋊C₄×C₅₉	—	2	1	no	—
568	C₄⋊C₄×C₅₉	—	2	1	no	—
569	C₄⋊C₄×C₅₉	—	2	1	no	—
570	C₄⋊C₄×C₅₉	—	2	1	no	—
571	C₄⋊C₄×C₅₉	—	2	1	no	—
572	C₄⋊C₄×C₅₉	—	2	1	no	—
573	C₄⋊C₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₅₉	C₂⁴	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	C₂²⋊C₄×C₅₉	—	2	1	no	—
619	C₂²⋊C₄×C₅₉	—	2	1	no	—
620	C₂²⋊C₄×C₅₉	—	2	1	no	—
621	C₂²⋊C₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
649	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
655	C₄²×C₅₉	—	2	1	no	—
656	C₄²×C₅₉	—	2	1	no	—
657	C₄²×C₅₉	—	2	1	no	—
658	C₄²×C₅₉	—	2	1	no	—
659	C₄²×C₅₉	—	2	1	no	—
660	C₄²×C₅₉	—	2	1	no	—
661	C₄²×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
669	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
670	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
671	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
672	C₂³×C₅₉	—	2	1	no	—
673	C₂³×C₅₉	—	2	1	no	—
674	C₂³×C₅₉	—	2	1	no	—
675	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
676	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
677	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
678	Q₈×C₅₉	—	2	1	no	—
679	Q₈×C₅₉	—	2	1	no	—
680	Q₈×C₅₉	—	2	1	no	—
681	Q₈×C₅₉	—	2	1	no	—
682	Q₈×C₅₉	—	2	1	no	—
683	Q₈×C₅₉	—	4	1	no	—
684	Q₈×C₅₉	—	4	2	no	—
685	Q₈×C₅₉	—	4	2	no	—
686	Q₈×C₅₉	—	8	1	no	—
687	Q₈×C₅₉	—	8	1	no	—
688	Q₈×C₅₉	—	8	1	no	—
689	Q₈×C₅₉	—	8	1	no	—
690	Q₈×C₅₉	2₋¹⁺⁴	1	2	yes	—
691	D₄×C₅₉	—	2	2	no	—
692	D₄×C₅₉	—	2	2	no	—
693	D₄×C₅₉	—	2	1	no	—
694	D₄×C₅₉	—	2	1	no	—
695	D₄×C₅₉	—	2	1	no	—
696	D₄×C₅₉	—	2	1	no	—
697	D₄×C₅₉	—	2	1	no	—
698	D₄×C₅₉	—	2	1	no	—
699	D₄×C₅₉	—	4	1	no	—
700	D₄×C₅₉	—	4	2	no	—
701	D₄×C₅₉	—	4	2	no	—
702	D₄×C₅₉	—	4	2	no	—
703	D₄×C₅₉	—	4	2	no	—
704	D₄×C₅₉	—	8	1	no	—
705	D₄×C₅₉	—	8	1	no	—
706	D₄×C₅₉	—	8	1	no	—
707	D₄×C₅₉	—	8	1	no	—
708	D₄×C₅₉	—	8	1	no	—
709	D₄×C₅₉	—	8	1	no	—
710	D₄×C₅₉	—	8	1	no	—
711	C₂×C₄×C₅₉	—	2	2	no	—
712	C₂×C₄×C₅₉	—	2	1	no	—
713	C₂×C₄×C₅₉	—	2	1	no	—
714	C₂×C₄×C₅₉	—	2	1	no	—
715	C₂×C₄×C₅₉	—	2	1	no	—
716	C₂×C₄×C₅₉	—	2	1	no	—
717	C₂×C₄×C₅₉	—	2	1	no	—
718	C₂×C₄×C₅₉	—	2	1	no	—
719	C₂×C₄×C₅₉	—	2	1	no	—
720	C₂×C₄×C₅₉	—	2	1	no	—
721	C₂×C₄×C₅₉	—	2	1	no	—
722	C₂×C₄×C₅₉	—	2	1	no	—
723	C₂×C₄×C₅₉	—	2	1	no	—
724	C₂×C₄×C₅₉	—	2	1	no	—
725	C₂×C₄×C₅₉	—	2	1	no	—
726	C₂×C₄×C₅₉	—	2	1	no	—
727	C₂×C₄×C₅₉	—	2	1	no	—
728	C₂×C₄×C₅₉	—	2	1	no	—
729	C₂×C₄×C₅₉	—	2	1	no	—
730	C₂×C₄×C₅₉	—	2	1	no	—
731	C₂×C₄×C₅₉	—	4	1	no	—
732	C₂×C₄×C₅₉	—	4	2	no	—
733	C₂×C₄×C₅₉	—	4	2	no	—
734	C₂×C₄×C₅₉	—	4	2	no	—
735	C₂×C₄×C₅₉	—	4	2	no	—
736	C₂×C₄×C₅₉	—	8	1	no	—
737	C₂×C₄×C₅₉	—	8	1	no	—
738	C₂×C₄×C₅₉	—	8	1	no	—
739	C₂×C₄×C₅₉	—	8	1	no	—
740	C₂×C₄×C₅₉	—	8	1	no	—
741	C₂×C₄×C₅₉	—	8	1	no	—
742	C₂×C₄×C₅₉	—	8	1	no	—
743	C₂×C₄×C₅₉	—	8	1	no	—
744	C₂×C₄×C₅₉	—	8	1	no	—
745	C₂×C₄×C₅₉	—	8	1	no	—
746	C₂×C₄×C₅₉	—	8	1	no	—
747	C₂×C₄×C₅₉	—	8	1	no	—
748	C₂×C₄×C₅₉	—	8	1	no	—
749	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
761	C₈×C₅₉	—	2	1	no	—
762	C₈×C₅₉	—	2	1	no	—
763	C₈×C₅₉	—	2	1	no	—
764	C₈×C₅₉	—	2	1	no	—
765	C₈×C₅₉	—	2	1	no	—
766	C₈×C₅₉	—	2	1	no	—
767	C₈×C₅₉	—	2	1	no	—
768	C₈×C₅₉	—	2	1	no	—
769	#62213	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
770	C₂²×C₅₉	—	2	1	no	—
771	C₂²×C₅₉	—	2	1	no	—
772	C₂²×C₅₉	—	2	1	no	—
773	C₂²×C₅₉	—	2	1	no	—
774	C₂²×C₅₉	—	2	1	no	—
775	C₂²×C₅₉	—	2	1	no	—
776	C₂²×C₅₉	—	2	1	no	—
777	C₂²×C₅₉	—	2	1	no	—
778	C₂²×C₅₉	—	4	1	no	—
779	C₂²×C₅₉	—	4	1	no	—
780	C₂²×C₅₉	—	4	1	no	—
781	C₂²×C₅₉	—	4	1	no	—
782	C₂²×C₅₉	—	4	1	no	—
783	C₂²×C₅₉	—	4	1	no	—
784	C₂²×C₅₉	—	4	1	no	—
785	C₂²×C₅₉	—	4	1	no	—
786	C₂²×C₅₉	—	4	1	no	—
787	C₂²×C₅₉	#577	1	2	yes	—
788	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
789	C₄×C₅₉	—	2	1	no	—
790	C₄×C₅₉	—	2	1	no	—
791	C₄×C₅₉	—	2	1	no	—
792	C₄×C₅₉	—	2	1	no	—
793	C₄×C₅₉	—	2	1	no	—
794	C₄×C₅₉	—	2	1	no	—
795	C₄×C₅₉	—	2	1	no	—
796	C₄×C₅₉	—	2	2	no	—
797	C₄×C₅₉	—	2	1	no	—
798	C₄×C₅₉	—	2	1	no	—
799	C₄×C₅₉	—	2	1	no	—
800	C₄×C₅₉	—	2	1	no	—
801	C₄×C₅₉	—	4	1	no	—
802	C₄×C₅₉	—	4	1	no	—
803	C₄×C₅₉	—	4	1	no	—
804	C₄×C₅₉	—	4	1	no	—
805	C₄×C₅₉	—	4	1	no	—
806	C₄×C₅₉	—	4	1	no	—
807	C₄×C₅₉	—	4	1	no	—
808	C₄×C₅₉	—	4	1	no	—
809	C₄×C₅₉	—	4	1	no	—
810	C₄×C₅₉	—	4	1	no	—
811	C₄×C₅₉	—	4	1	no	—
812	C₄×C₅₉	—	4	1	no	—
813	C₄×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
814	C₄×C₅₉	#585	1	1	yes	characteristic
815	#3559	C₂×C₅₉	1	1	yes	characteristic, complemented
816	#3516	C₂×C₅₉	1	1	yes	characteristic, complemented
817	#3388	C₂×C₅₉	1	1	yes	characteristic, complemented
818	#3381	C₂×C₅₉	1	1	yes	characteristic, complemented
819	#3376	C₂×C₅₉	1	1	yes	characteristic, complemented
820	#3360	C₂×C₅₉	1	1	yes	characteristic, complemented
821	#3351	C₂×C₅₉	1	1	yes	characteristic, complemented
822	#3346	C₂×C₅₉	1	1	yes	characteristic, complemented
823	#3345	C₂×C₅₉	1	1	yes	characteristic, complemented
824	#3339	C₂×C₅₉	1	1	yes	characteristic, complemented
825	#3337	C₂×C₅₉	1	1	yes	characteristic, complemented
826	#3335	C₂×C₅₉	1	1	yes	characteristic, complemented
827	#3326	C₂×C₅₉	1	1	yes	characteristic, complemented
828	#3320	C₂×C₅₉	1	1	yes	characteristic, complemented
829	#3308	C₂×C₅₉	1	1	yes	characteristic, complemented
830	#3301	C₂×C₅₉	1	1	yes	characteristic, complemented
831	#3301	C₂×C₅₉	1	1	yes	characteristic, complemented
832	#3298	C₂×C₅₉	1	1	yes	characteristic, complemented
833	#3260	C₂×C₅₉	1	1	yes	characteristic, complemented
834	#3257	C₂×C₅₉	1	1	yes	characteristic, complemented
835	#3247	C₂×C₅₉	1	1	yes	characteristic, complemented
836	#3244	C₂×C₅₉	1	1	yes	characteristic, complemented
837	#3242	C₂×C₅₉	1	1	yes	characteristic, complemented
838	#3232	C₂×C₅₉	1	1	yes	characteristic, complemented
839	#3126	C₂×C₅₉	1	1	yes	characteristic, complemented
840	#3119	C₂×C₅₉	1	1	yes	characteristic, complemented
841	#3103	C₂×C₅₉	1	1	yes	characteristic, complemented
842	#3084	C₂×C₅₉	1	1	yes	characteristic, complemented
843	#3082	C₂×C₅₉	1	1	yes	characteristic, complemented
844	C₂×#479	C₂×C₅₉	1	1	yes	characteristic, complemented
845	#2994	C₂×C₅₉	1	1	yes	characteristic, complemented
846	C₂×C₅₉	—	2	2	no	—
847	C₂×C₅₉	—	4	1	no	—
848	C₂×C₅₉	—	4	1	no	—
849	C₂×C₅₉	—	8	1	no	—
850	C₂×C₅₉	—	8	1	no	—
851	C₂×C₅₉	—	8	1	no	—
852	C₂×C₅₉	#3489	1	1	yes	characteristic
853	C₂×C₅₉	C₂×#577	1	1	yes	characteristic
854	C₂×C₅₉	#3584	1	1	yes	characteristic
855	#563	—	2	1	no	—
856	#562	—	2	1	no	—
857	#557	C₂²×C₅₉	1	1	yes	characteristic
858	#556	—	2	1	no	—
859	#556	C₂²×C₅₉	1	1	yes	characteristic
860	#554	—	2	1	no	—
861	#554	C₂²×C₅₉	1	1	yes	characteristic
862	#554	C₂²×C₅₉	1	1	yes	characteristic
863	#554	C₂²×C₅₉	1	1	yes	characteristic
864	#553	—	2	1	no	—
865	#553	C₂²×C₅₉	1	1	yes	characteristic
866	#553	C₂²×C₅₉	1	1	yes	characteristic
867	#553	C₂²×C₅₉	1	1	yes	characteristic
868	#553	C₂²×C₅₉	1	1	yes	characteristic
869	#553	C₂²×C₅₉	1	1	yes	characteristic
870	#552	—	2	1	no	—
871	#552	C₂²×C₅₉	1	1	yes	characteristic
872	D₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
873	#548	C₂²×C₅₉	1	1	yes	characteristic
874	#548	C₂²×C₅₉	1	1	yes	characteristic
875	#547	—	2	1	no	—
876	#547	—	2	1	no	—
877	#547	C₂²×C₅₉	1	1	yes	characteristic
878	#547	C₂²×C₅₉	1	1	yes	characteristic
879	#544	C₂²×C₅₉	1	1	yes	characteristic
880	#544	C₂²×C₅₉	1	1	yes	characteristic
881	#542	—	2	1	no	—
882	#542	C₂²×C₅₉	1	1	yes	characteristic
883	#541	—	2	1	no	—
884	#541	C₂²×C₅₉	1	1	yes	characteristic
885	#540	C₂²×C₅₉	1	1	yes	characteristic
886	#540	C₂²×C₅₉	1	1	yes	characteristic
887	#539	—	2	1	no	—
888	#539	—	2	1	no	—
889	#539	—	2	1	no	—
890	#537	—	2	1	no	—
891	#532	C₂²×C₅₉	1	1	yes	characteristic
892	#529	—	2	1	no	—
893	#529	—	2	1	no	—
894	#529	C₂²×C₅₉	1	1	yes	characteristic
895	#529	C₂²×C₅₉	1	1	yes	characteristic
896	C₂×#125	C₂²×C₅₉	1	1	yes	characteristic
897	#520	C₂²×C₅₉	1	1	yes	characteristic
898	#519	C₂²×C₅₉	1	1	yes	characteristic
899	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
900	#501	C₂²×C₅₉	1	1	yes	characteristic
901	#501	C₂²×C₅₉	1	1	yes	characteristic
902	#499	C₂²×C₅₉	1	1	yes	characteristic
903	#499	C₂²×C₅₉	1	1	yes	characteristic
904	#499	C₂²×C₅₉	1	1	yes	characteristic
905	#498	C₂²×C₅₉	1	1	yes	characteristic
906	#491	C₂²×C₅₉	1	1	yes	characteristic
907	#489	C₂²×C₅₉	1	1	yes	characteristic
908	#488	C₂²×C₅₉	1	1	yes	characteristic
909	#488	C₂²×C₅₉	1	1	yes	characteristic
910	#488	C₂²×C₅₉	1	1	yes	characteristic
911	#487	C₂²×C₅₉	1	1	yes	characteristic
912	#485	C₂²×C₅₉	1	1	yes	characteristic
913	#485	C₂²×C₅₉	1	1	yes	characteristic
914	#485	C₂²×C₅₉	1	1	yes	characteristic
915	#484	C₂²×C₅₉	1	1	yes	characteristic
916	#484	C₂²×C₅₉	1	1	yes	characteristic
917	#483	C₂²×C₅₉	1	1	yes	characteristic
918	#483	C₂²×C₅₉	1	1	yes	characteristic
919	#483	C₂²×C₅₉	1	1	yes	characteristic
920	#482	C₂²×C₅₉	1	1	yes	characteristic
921	#482	C₂²×C₅₉	1	1	yes	characteristic
922	#482	C₂²×C₅₉	1	1	yes	characteristic
923	#481	C₂²×C₅₉	1	1	yes	characteristic
924	#481	C₂²×C₅₉	1	1	yes	characteristic
925	#481	C₂²×C₅₉	1	1	yes	characteristic
926	#481	C₂²×C₅₉	1	1	yes	characteristic
927	#481	C₂²×C₅₉	1	1	yes	characteristic
928	#480	C₂²×C₅₉	1	1	yes	characteristic
929	#480	C₂²×C₅₉	1	1	yes	characteristic
930	#479	C₂²×C₅₉	1	1	yes	characteristic
931	#479	C₂²×C₅₉	1	1	yes	characteristic
932	#479	C₂²×C₅₉	1	1	yes	characteristic
933	#479	C₂²×C₅₉	1	1	yes	characteristic
934	#479	C₂²×C₅₉	1	1	yes	characteristic
935	#479	C₂²×C₅₉	1	1	yes	characteristic
936	#479	C₂²×C₅₉	1	1	yes	characteristic
937	#479	C₂²×C₅₉	1	1	yes	characteristic
938	#479	C₂²×C₅₉	1	1	yes	characteristic
939	#479	C₂²×C₅₉	1	1	yes	characteristic
940	#479	C₂²×C₅₉	1	1	yes	characteristic
941	#479	C₂²×C₅₉	1	1	yes	characteristic
942	#479	C₂²×C₅₉	1	1	yes	characteristic
943	#478	C₂²×C₅₉	1	1	yes	characteristic
944	#478	C₂²×C₅₉	1	1	yes	characteristic
945	#478	C₂²×C₅₉	1	1	yes	characteristic
946	#478	C₂²×C₅₉	1	1	yes	characteristic
947	#478	C₂²×C₅₉	1	1	yes	characteristic
948	#478	C₂²×C₅₉	1	1	yes	characteristic
949	#478	C₂²×C₅₉	1	1	yes	characteristic
950	#477	C₂²×C₅₉	1	1	yes	characteristic
951	#477	C₂²×C₅₉	1	1	yes	characteristic
952	#476	C₂²×C₅₉	1	1	yes	characteristic
953	#476	C₂²×C₅₉	1	1	yes	characteristic
954	#476	C₂²×C₅₉	1	1	yes	characteristic
955	#475	C₂²×C₅₉	1	1	yes	characteristic
956	#475	C₂²×C₅₉	1	1	yes	characteristic
957	#475	C₂²×C₅₉	1	1	yes	characteristic
958	#475	C₂²×C₅₉	1	1	yes	characteristic
959	#474	C₂²×C₅₉	1	1	yes	characteristic
960	#469	C₂²×C₅₉	1	1	yes	characteristic
961	#468	C₂²×C₅₉	1	1	yes	characteristic
962	#468	C₂²×C₅₉	1	1	yes	characteristic
963	#468	C₂²×C₅₉	1	1	yes	characteristic
964	#466	C₂²×C₅₉	1	1	yes	characteristic
965	#466	C₂²×C₅₉	1	1	yes	characteristic
966	#466	C₂²×C₅₉	1	1	yes	characteristic
967	#465	C₂²×C₅₉	1	1	yes	characteristic
968	#465	C₂²×C₅₉	1	1	yes	characteristic
969	#465	C₂²×C₅₉	1	1	yes	characteristic
970	#465	C₂²×C₅₉	1	1	yes	characteristic
971	#465	C₂²×C₅₉	1	1	yes	characteristic
972	#463	C₂²×C₅₉	1	1	yes	characteristic
973	#463	C₂²×C₅₉	1	1	yes	characteristic
974	#463	C₂²×C₅₉	1	1	yes	characteristic
975	#463	C₂²×C₅₉	1	1	yes	characteristic
976	#461	C₂²×C₅₉	1	1	yes	characteristic
977	#461	C₂²×C₅₉	1	1	yes	characteristic
978	#460	C₂²×C₅₉	1	1	yes	characteristic
979	#460	C₂²×C₅₉	1	1	yes	characteristic
980	#460	C₂²×C₅₉	1	1	yes	characteristic
981	#459	C₂²×C₅₉	1	1	yes	characteristic
982	#449	C₂²×C₅₉	1	1	yes	characteristic
983	#449	C₂²×C₅₉	1	1	yes	characteristic
984	#448	C₂²×C₅₉	1	1	yes	characteristic
985	#448	C₂²×C₅₉	1	1	yes	characteristic
986	#448	C₂²×C₅₉	1	1	yes	characteristic
987	#448	C₂²×C₅₉	1	1	yes	characteristic
988	#446	C₂²×C₅₉	1	1	yes	characteristic
989	C₈×Q₈	C₂²×C₅₉	1	1	yes	characteristic
990	#442	C₂²×C₅₉	1	1	yes	characteristic
991	#440	C₂²×C₅₉	1	1	yes	characteristic
992	#440	C₂²×C₅₉	1	1	yes	characteristic
993	#440	C₂²×C₅₉	1	1	yes	characteristic
994	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
995	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
996	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
997	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
998	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
999	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
1000	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
1001	C₄×D₈	C₂²×C₅₉	1	1	yes	characteristic
1002	#436	C₂²×C₅₉	1	1	yes	characteristic
1003	#435	C₂²×C₅₉	1	1	yes	characteristic
1004	#435	C₂²×C₅₉	1	1	yes	characteristic
1005	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
1006	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
1007	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
1008	#433	C₂²×C₅₉	1	1	yes	characteristic
1009	#433	C₂²×C₅₉	1	1	yes	characteristic
1010	#431	C₂²×C₅₉	1	1	yes	characteristic
1011	#428	C₂²×C₅₉	1	1	yes	characteristic
1012	#428	C₂²×C₅₉	1	1	yes	characteristic
1013	#427	C₂²×C₅₉	1	1	yes	characteristic
1014	C₂×#107	C₂²×C₅₉	1	1	yes	characteristic
1015	C₂×#106	C₂²×C₅₉	1	1	yes	characteristic
1016	C₂×#106	C₂²×C₅₉	1	1	yes	characteristic
1017	#424	C₂²×C₅₉	1	1	yes	characteristic
1018	#424	C₂²×C₅₉	1	1	yes	characteristic
1019	C₂×C₄⋊C₈	C₂²×C₅₉	1	1	yes	characteristic
1020	#419	C₂²×C₅₉	1	1	yes	characteristic
1021	#417	C₂²×C₅₉	1	1	yes	characteristic
1022	#416	C₂²×C₅₉	1	1	yes	characteristic
1023	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
1024	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
1025	C₂×#103	C₂²×C₅₉	1	1	yes	characteristic
1026	C₅₉	#62213	1	1	yes	characteristic, direct product factor, Sylow
1027	C₂×#41	—	2	1	no	—
1028	C₂×#41	—	2	1	no	—
1029	C₂×#41	—	2	1	no	—
1030	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1031	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1032	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1033	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1034	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1035	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1036	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1037	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1038	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1039	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1040	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1041	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1042	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1043	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1044	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1045	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1046	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1047	C₄⋊Q₈	—	2	1	no	—
1048	C₄⋊Q₈	—	2	1	no	—
1049	C₄⋊Q₈	—	2	1	no	—
1050	C₄⋊Q₈	—	2	1	no	—
1051	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1052	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1053	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1054	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1055	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1056	#127	C₂³×C₅₉	1	1	yes	characteristic
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	—	2	1	no	—
1061	#126	—	2	1	no	—
1062	#126	—	2	1	no	—
1063	#126	—	2	1	no	—
1064	#126	—	2	1	no	—
1065	#126	—	2	1	no	—
1066	#126	—	2	1	no	—
1067	#126	—	2	1	no	—
1068	#126	—	2	1	no	—
1069	#126	D₄×C₅₉	1	1	yes	characteristic
1070	#126	D₄×C₅₉	1	1	yes	characteristic
1071	#125	—	2	1	no	—
1072	#125	—	2	1	no	—
1073	#125	—	2	1	no	—
1074	#125	—	2	1	no	—
1075	#125	—	2	1	no	—
1076	#125	—	2	1	no	—
1077	#125	—	2	1	no	—
1078	#125	—	2	1	no	—
1079	#125	—	2	1	no	—
1080	#125	—	2	1	no	—
1081	#125	D₄×C₅₉	1	1	yes	characteristic
1082	#125	C₂³×C₅₉	1	1	yes	characteristic
1083	#125	C₂³×C₅₉	1	1	yes	characteristic
1084	#125	C₂³×C₅₉	1	1	yes	characteristic
1085	#125	C₂³×C₅₉	1	1	yes	characteristic
1086	#125	C₂³×C₅₉	1	1	yes	characteristic
1087	#125	C₂³×C₅₉	1	1	yes	characteristic
1088	#125	C₂³×C₅₉	1	1	yes	characteristic
1089	#125	C₂³×C₅₉	1	1	yes	characteristic
1090	#124	—	2	1	no	—
1091	#124	—	2	1	no	—
1092	#124	—	2	1	no	—
1093	#124	—	2	1	no	—
1094	#124	D₄×C₅₉	1	1	yes	characteristic
1095	#124	C₂³×C₅₉	1	1	yes	characteristic
1096	#124	C₂³×C₅₉	1	1	yes	characteristic
1097	#123	—	2	1	no	—
1098	#123	—	2	1	no	—
1099	#123	—	2	1	no	—
1100	#123	—	2	1	no	—
1101	#123	—	2	1	no	—
1102	#123	—	2	1	no	—
1103	#123	—	2	1	no	—
1104	#123	—	2	1	no	—
1105	#123	—	2	1	no	—
1106	#123	—	2	1	no	—
1107	#123	—	2	1	no	—
1108	#123	—	2	1	no	—
1109	#123	—	2	1	no	—
1110	#123	—	2	1	no	—
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	D₄×C₅₉	1	1	yes	characteristic
1114	#123	D₄×C₅₉	1	1	yes	characteristic
1115	C₂²⋊Q₈	—	2	1	no	—
1116	C₂²⋊Q₈	—	2	1	no	—
1117	C₂²⋊Q₈	—	2	1	no	—
1118	C₂²⋊Q₈	—	2	1	no	—
1119	C₂²⋊Q₈	—	2	1	no	—
1120	C₂²⋊Q₈	—	2	1	no	—
1121	C₂²⋊Q₈	—	2	1	no	—
1122	C₂²⋊Q₈	—	2	1	no	—
1123	C₂²⋊Q₈	—	2	1	no	—
1124	C₂²⋊Q₈	—	2	1	no	—
1125	C₂²⋊Q₈	—	2	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	D₄×C₅₉	1	1	yes	characteristic
1136	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1137	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1138	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1139	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1140	#121	—	2	1	no	—
1141	#121	—	2	1	no	—
1142	#121	—	2	1	no	—
1143	#121	—	2	1	no	—
1144	#121	—	2	1	no	—
1145	#121	—	2	1	no	—
1146	#121	—	2	1	no	—
1147	#121	—	2	1	no	—
1148	#121	—	2	1	no	—
1149	#121	—	2	1	no	—
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	D₄×C₅₉	1	1	yes	characteristic
1153	#121	C₂³×C₅₉	1	1	yes	characteristic
1154	#121	C₂³×C₅₉	1	1	yes	characteristic
1155	#121	C₂³×C₅₉	1	1	yes	characteristic
1156	#121	C₂³×C₅₉	1	1	yes	characteristic
1157	#121	C₂³×C₅₉	1	1	yes	characteristic
1158	#121	C₂³×C₅₉	1	1	yes	characteristic
1159	#121	C₂³×C₅₉	1	1	yes	characteristic
1160	#121	C₂³×C₅₉	1	1	yes	characteristic
1161	C₄×Q₈	—	2	1	no	—
1162	C₄×Q₈	—	2	1	no	—
1163	C₄×Q₈	—	2	1	no	—
1164	C₄×Q₈	—	2	1	no	—
1165	C₄×Q₈	—	2	1	no	—
1166	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1167	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1168	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1169	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1170	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1171	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1172	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1173	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1175	C₄×D₄	—	2	1	no	—
1176	C₄×D₄	—	2	1	no	—
1177	C₄×D₄	—	2	1	no	—
1178	C₄×D₄	—	2	1	no	—
1179	C₄×D₄	—	2	1	no	—
1180	C₄×D₄	—	2	1	no	—
1181	C₄×D₄	—	2	1	no	—
1182	C₄×D₄	—	2	1	no	—
1183	C₄×D₄	—	2	1	no	—
1184	C₄×D₄	—	2	1	no	—
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1189	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1190	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1191	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1192	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1193	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1194	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1195	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1196	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1197	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1198	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1199	#117	—	2	1	no	—
1200	#117	—	2	1	no	—
1201	#117	—	2	1	no	—
1202	#117	—	2	1	no	—
1203	#117	—	2	1	no	—
1204	#117	—	2	1	no	—
1205	#117	C₂³×C₅₉	1	1	yes	characteristic
1206	#117	C₂³×C₅₉	1	1	yes	characteristic
1207	#117	C₂³×C₅₉	1	1	yes	characteristic
1208	#117	C₂³×C₅₉	1	1	yes	characteristic
1209	#117	C₂³×C₅₉	1	1	yes	characteristic
1210	C₂×C₄⋊C₄	—	2	1	no	—
1211	C₂×C₄⋊C₄	—	2	1	no	—
1212	C₂×C₄⋊C₄	—	2	1	no	—
1213	C₂×C₄⋊C₄	—	2	1	no	—
1214	C₂×C₄⋊C₄	—	2	1	no	—
1215	C₂×C₄⋊C₄	—	2	1	no	—
1216	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1217	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1218	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1219	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1220	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1221	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1222	C₂×C₄²	—	2	1	no	—
1223	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1224	#107	C₂³×C₅₉	1	1	yes	characteristic
1225	#107	C₂³×C₅₉	1	1	yes	characteristic
1226	#107	C₂³×C₅₉	1	1	yes	characteristic
1227	#107	C₂³×C₅₉	1	1	yes	characteristic
1228	#107	C₂³×C₅₉	1	1	yes	characteristic
1229	#107	C₂³×C₅₉	1	1	yes	characteristic
1230	#107	C₂³×C₅₉	1	1	yes	characteristic
1231	#107	C₂³×C₅₉	1	1	yes	characteristic
1232	#107	C₂³×C₅₉	1	1	yes	characteristic
1233	#107	C₂³×C₅₉	1	1	yes	characteristic
1234	#106	C₂³×C₅₉	1	1	yes	characteristic
1235	#106	C₂³×C₅₉	1	1	yes	characteristic
1236	#106	C₂³×C₅₉	1	1	yes	characteristic
1237	#106	C₂³×C₅₉	1	1	yes	characteristic
1238	#106	C₂³×C₅₉	1	1	yes	characteristic
1239	#106	C₂³×C₅₉	1	1	yes	characteristic
1240	#106	C₂³×C₅₉	1	1	yes	characteristic
1241	#106	C₂³×C₅₉	1	1	yes	characteristic
1242	#106	C₂³×C₅₉	1	1	yes	characteristic
1243	#106	C₂³×C₅₉	1	1	yes	characteristic
1244	#106	C₂³×C₅₉	1	1	yes	characteristic
1245	#106	C₂³×C₅₉	1	1	yes	characteristic
1246	#106	C₂³×C₅₉	1	1	yes	characteristic
1247	#106	C₂³×C₅₉	1	1	yes	characteristic
1248	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1249	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1257	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1258	#103	C₂³×C₅₉	1	1	yes	characteristic
1259	#103	C₂³×C₅₉	1	1	yes	characteristic
1260	#103	C₂³×C₅₉	1	1	yes	characteristic
1261	#103	C₂³×C₅₉	1	1	yes	characteristic
1262	#103	C₂³×C₅₉	1	1	yes	characteristic
1263	#103	C₂³×C₅₉	1	1	yes	characteristic
1264	#103	C₂³×C₅₉	1	1	yes	characteristic
1265	#103	C₂³×C₅₉	1	1	yes	characteristic
1266	#103	C₂³×C₅₉	1	1	yes	characteristic
1267	#103	C₂³×C₅₉	1	1	yes	characteristic
1268	#103	C₂³×C₅₉	1	1	yes	characteristic
1269	#103	C₂³×C₅₉	1	1	yes	characteristic
1270	#103	C₂³×C₅₉	1	1	yes	characteristic
1271	#103	C₂³×C₅₉	1	1	yes	characteristic
1272	#103	C₂³×C₅₉	1	1	yes	characteristic
1273	#103	C₂³×C₅₉	1	1	yes	characteristic
1274	#103	C₂³×C₅₉	1	1	yes	characteristic
1275	#103	C₂³×C₅₉	1	1	yes	characteristic
1276	#102	C₂³×C₅₉	1	1	yes	characteristic
1277	#102	C₂³×C₅₉	1	1	yes	characteristic
1278	#102	C₂³×C₅₉	1	1	yes	characteristic
1279	#102	C₂³×C₅₉	1	1	yes	characteristic
1280	#102	C₂³×C₅₉	1	1	yes	characteristic
1281	#102	C₂³×C₅₉	1	1	yes	characteristic
1282	#102	C₂³×C₅₉	1	1	yes	characteristic
1283	#102	C₂³×C₅₉	1	1	yes	characteristic
1284	#102	C₂³×C₅₉	1	1	yes	characteristic
1285	#102	C₂³×C₅₉	1	1	yes	characteristic
1286	#102	C₂³×C₅₉	1	1	yes	characteristic
1287	#102	C₂³×C₅₉	1	1	yes	characteristic
1288	#102	C₂³×C₅₉	1	1	yes	characteristic
1289	#102	C₂³×C₅₉	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1294	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1295	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1296	#97	C₂³×C₅₉	1	1	yes	characteristic
1297	#97	C₂³×C₅₉	1	1	yes	characteristic
1298	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1299	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1300	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1301	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1302	#41	—	2	2	no	—
1303	#41	—	4	1	no	—
1304	#41	—	8	2	no	—
1305	#41	—	8	2	no	—
1306	#41	—	8	2	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	2	1	no	—
1309	C₂×Q₈	—	2	1	no	—
1310	C₂×Q₈	—	2	1	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	—	2	1	no	—
1313	C₂×Q₈	—	2	2	no	—
1314	C₂×Q₈	—	2	2	no	—
1315	C₂×Q₈	—	4	1	no	—
1316	C₂×Q₈	—	4	1	no	—
1317	C₂×Q₈	C₂×D₄×C₅₉	1	1	yes	characteristic
1318	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1319	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1320	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	2	1	no	—
1331	C₂×D₄	—	2	1	no	—
1332	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1333	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1334	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1335	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1336	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1337	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1356	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1360	SD₁₆	—	2	2	no	—
1361	SD₁₆	—	2	2	no	—
1362	SD₁₆	—	4	1	no	—
1363	SD₁₆	—	4	1	no	—
1364	SD₁₆	—	4	1	no	—
1365	SD₁₆	—	4	1	no	—
1366	D₈	—	4	1	no	—
1367	D₈	—	4	1	no	—
1368	M₁₆	—	4	1	no	—
1369	M₁₆	—	4	1	no	—
1370	C₂×C₈	—	4	1	no	—
1371	C₂×C₈	—	4	1	no	—
1372	C₂×C₈	—	4	1	no	—
1373	C₂×C₈	—	4	1	no	—
1374	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1375	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1376	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1377	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1379	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1380	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1381	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1430	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1431	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1432	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1433	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1434	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1435	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1438	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1439	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1440	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1441	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₅₉	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1491	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1492	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1493	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1494	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1495	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1500	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1501	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1502	Q₈	—	2	1	no	—
1503	Q₈	—	2	1	no	—
1504	Q₈	—	2	1	no	—
1505	Q₈	—	2	1	no	—
1506	Q₈	—	2	1	no	—
1507	Q₈	—	4	1	no	—
1508	Q₈	—	4	2	no	—
1509	Q₈	—	4	2	no	—
1510	Q₈	—	8	1	no	—
1511	Q₈	—	8	1	no	—
1512	Q₈	—	8	1	no	—
1513	Q₈	—	8	1	no	—
1514	Q₈	2₋¹⁺⁴×C₅₉	1	2	yes	—
1515	D₄	—	2	2	no	—
1516	D₄	—	2	2	no	—
1517	D₄	—	2	1	no	—
1518	D₄	—	2	1	no	—
1519	D₄	—	2	1	no	—
1520	D₄	—	2	1	no	—
1521	D₄	—	2	1	no	—
1522	D₄	—	2	1	no	—
1523	D₄	—	4	1	no	—
1524	D₄	—	4	2	no	—
1525	D₄	—	4	2	no	—
1526	D₄	—	4	2	no	—
1527	D₄	—	4	2	no	—
1528	D₄	—	8	1	no	—
1529	D₄	—	8	1	no	—
1530	D₄	—	8	1	no	—
1531	D₄	—	8	1	no	—
1532	D₄	—	8	1	no	—
1533	D₄	—	8	1	no	—
1534	D₄	—	8	1	no	—
1535	C₂×C₄	—	2	2	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	4	1	no	—
1556	C₂×C₄	—	4	2	no	—
1557	C₂×C₄	—	4	2	no	—
1558	C₂×C₄	—	4	2	no	—
1559	C₂×C₄	—	4	2	no	—
1560	C₂×C₄	—	8	1	no	—
1561	C₂×C₄	—	8	1	no	—
1562	C₂×C₄	—	8	1	no	—
1563	C₂×C₄	—	8	1	no	—
1564	C₂×C₄	—	8	1	no	—
1565	C₂×C₄	—	8	1	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1574	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1575	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1576	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1577	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1578	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1579	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1580	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1581	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1582	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1583	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1584	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1585	C₈	—	2	1	no	—
1586	C₈	—	2	1	no	—
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	C₅₉×#577	1	2	yes	—
1611	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	2	1	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	2	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	C₂×2₋¹⁺⁴×C₅₉	1	1	yes	characteristic
1637	C₄	C₅₉×#585	1	1	yes	characteristic
1638	C₂	—	2	2	no	—
1639	C₂	—	4	1	no	—
1640	C₂	—	4	1	no	—
1641	C₂	—	8	1	no	—
1642	C₂	—	8	1	no	—
1643	C₂	—	8	1	no	—
1644	C₂	C₅₉×#3489	1	1	yes	characteristic
1645	C₂	C₂×C₅₉×#577	1	1	yes	characteristic
1646	C₂	C₅₉×#3584	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 ◁ C₅₉×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₉×#3559	C₂	semidirect
2. C₅₉×#3516	C₂	semidirect
3. C₅₉×#3388	C₂	semidirect
4. C₅₉×#3381	C₂	semidirect
5. C₅₉×#3376	C₂	semidirect
6. C₅₉×#3360	C₂	semidirect
7. C₅₉×#3351	C₂	semidirect
8. C₅₉×#3346	C₂	semidirect
9. C₅₉×#3345	C₂	semidirect
10. C₅₉×#3339	C₂	semidirect
11. C₅₉×#3337	C₂	semidirect
12. C₅₉×#3335	C₂	semidirect
13. C₅₉×#3326	C₂	semidirect
14. C₅₉×#3320	C₂	semidirect
15. C₅₉×#3308	C₂	semidirect
16. C₅₉×#3301	C₂	semidirect
17. C₅₉×#3301	C₂	semidirect
18. C₅₉×#3298	C₂	semidirect
19. C₅₉×#3260	C₂	semidirect
20. C₅₉×#3257	C₂	semidirect
21. C₅₉×#3247	C₂	semidirect
22. C₅₉×#3244	C₂	semidirect
23. C₅₉×#3242	C₂	semidirect
24. C₅₉×#3232	C₂	semidirect
25. C₅₉×#3126	C₂	semidirect
26. C₅₉×#3119	C₂	semidirect
27. C₅₉×#3103	C₂	semidirect
28. C₅₉×#3084	C₂	semidirect
29. C₅₉×#3082	C₂	semidirect
30. C₂×C₅₉×#479	C₂	semidirect
31. C₅₉×#2994	C₂	semidirect
769. #62213	C₅₉	direct (N × H)
815. #3559	C₂×C₅₉	semidirect
816. #3516	C₂×C₅₉	semidirect
817. #3388	C₂×C₅₉	semidirect
818. #3381	C₂×C₅₉	semidirect
819. #3376	C₂×C₅₉	semidirect
820. #3360	C₂×C₅₉	semidirect
821. #3351	C₂×C₅₉	semidirect
822. #3346	C₂×C₅₉	semidirect
823. #3345	C₂×C₅₉	semidirect
824. #3339	C₂×C₅₉	semidirect
825. #3337	C₂×C₅₉	semidirect
826. #3335	C₂×C₅₉	semidirect
827. #3326	C₂×C₅₉	semidirect
828. #3320	C₂×C₅₉	semidirect
829. #3308	C₂×C₅₉	semidirect
830. #3301	C₂×C₅₉	semidirect
831. #3301	C₂×C₅₉	semidirect
832. #3298	C₂×C₅₉	semidirect
833. #3260	C₂×C₅₉	semidirect
834. #3257	C₂×C₅₉	semidirect
835. #3247	C₂×C₅₉	semidirect
836. #3244	C₂×C₅₉	semidirect
837. #3242	C₂×C₅₉	semidirect
838. #3232	C₂×C₅₉	semidirect
839. #3126	C₂×C₅₉	semidirect
840. #3119	C₂×C₅₉	semidirect
841. #3103	C₂×C₅₉	semidirect
842. #3084	C₂×C₅₉	semidirect
843. #3082	C₂×C₅₉	semidirect
844. C₂×#479	C₂×C₅₉	semidirect
845. #2994	C₂×C₅₉	semidirect
1026. C₅₉	#62213	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×#3559	2
C₅₉×#3516	2
C₅₉×#3388	2
C₅₉×#3381	2
C₅₉×#3376	2
C₅₉×#3360	2
C₅₉×#3351	2
C₅₉×#3346	2
C₅₉×#3345	2
C₅₉×#3339	2
C₅₉×#3337	2
C₅₉×#3335	2
C₅₉×#3326	2
C₅₉×#3320	2
C₅₉×#3308	2
C₅₉×#3301	2
C₅₉×#3298	2
C₅₉×#3260	2
C₅₉×#3257	2
C₅₉×#3247	2
C₅₉×#3244	2
C₅₉×#3242	2
C₅₉×#3232	2
C₅₉×#3126	2
C₅₉×#3119	2
C₅₉×#3103	2
C₅₉×#3084	2
C₅₉×#3082	2
C₂×C₅₉×#479	2
C₅₉×#2994	2
#62213	59

Subgroups — C59×#62213 #28474322

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62213 #28474322