Subgroups — C₅₉×#62207 #28474316

Order 15104.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3565	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#3521	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#3389	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#3377	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×#3350	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#3349	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₉×#3340	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#3339	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3336	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#3323	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#3319	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#3307	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₉×#3302	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#3297	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#3296	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#3262	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#3250	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×#3233	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₉×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₉×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₉×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₉×#3083	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₉×#3081	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₉×#3076	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, complemented
35	C₅₉×#556	—	2	1	no	—
36	C₅₉×#556	C₂²	1	1	yes	characteristic
37	C₅₉×#556	C₂²	1	1	yes	characteristic
38	C₅₉×#556	C₂²	1	1	yes	characteristic, complemented
39	C₅₉×#555	C₂²	1	1	yes	characteristic
40	C₅₉×#554	C₂²	1	1	yes	characteristic
41	C₅₉×#554	C₂²	1	1	yes	characteristic, complemented
42	C₅₉×#553	—	2	1	no	—
43	C₅₉×#553	C₂²	1	1	yes	characteristic
44	C₅₉×#553	C₂²	1	1	yes	characteristic
45	C₅₉×#553	C₂²	1	1	yes	characteristic, complemented
46	C₅₉×#552	—	2	1	no	—
47	C₅₉×#552	—	2	1	no	—
48	C₅₉×#552	C₂²	1	1	yes	characteristic
49	C₅₉×#552	C₂²	1	1	yes	characteristic
50	C₅₉×#552	C₂²	1	1	yes	characteristic
51	C₅₉×#551	—	2	1	no	—
52	C₅₉×#551	—	2	1	no	—
53	C₅₉×#547	C₂²	1	1	yes	characteristic
54	C₅₉×#546	C₂²	1	1	yes	characteristic
55	C₅₉×#546	C₂²	1	1	yes	characteristic
56	C₅₉×#544	C₂²	1	1	yes	characteristic
57	C₅₉×#544	C₂²	1	1	yes	characteristic, complemented
58	C₅₉×#542	—	2	1	no	—
59	C₅₉×#542	—	2	1	no	—
60	C₅₉×#542	C₂²	1	1	yes	characteristic
61	C₅₉×#542	C₂²	1	1	yes	characteristic
62	C₅₉×#542	C₂²	1	1	yes	characteristic, complemented
63	C₅₉×#541	—	2	1	no	—
64	C₅₉×#541	C₂²	1	1	yes	characteristic
65	C₅₉×#539	—	2	1	no	—
66	C₅₉×#539	—	2	1	no	—
67	C₅₉×#538	—	2	1	no	—
68	C₅₉×#533	C₂²	1	1	yes	characteristic, complemented
69	C₅₉×#529	—	2	1	no	—
70	C₅₉×#529	C₂²	1	1	yes	characteristic
71	C₅₉×#529	C₂²	1	1	yes	characteristic
72	C₅₉×#529	C₂²	1	1	yes	characteristic, complemented
73	C₂×#126×C₅₉	—	2	1	no	—
74	C₅₉×#520	C₂²	1	1	yes	characteristic
75	C₅₉×#518	C₂²	1	1	yes	characteristic
76	C₄×#41×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×#499	C₂²	1	1	yes	characteristic, complemented
80	C₅₉×#499	C₂²	1	1	yes	characteristic, complemented
81	C₅₉×#499	C₂²	1	1	yes	characteristic, complemented
82	C₅₉×#498	C₂²	1	1	yes	characteristic, complemented
83	C₅₉×#491	C₂²	1	1	yes	characteristic, complemented
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, complemented
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×#485	C₂²	1	1	yes	characteristic, complemented
93	C₅₉×#485	C₂²	1	1	yes	characteristic, complemented
94	C₅₉×#485	C₂²	1	1	yes	characteristic, complemented
95	C₅₉×#485	C₂²	1	1	yes	characteristic, complemented
96	C₅₉×#484	C₂²	1	1	yes	characteristic
97	C₅₉×#483	C₂²	1	1	yes	characteristic
98	C₅₉×#483	C₂²	1	1	yes	characteristic, complemented
99	C₅₉×#483	C₂²	1	1	yes	characteristic, complemented
100	C₅₉×#482	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×#481	C₂²	1	1	yes	characteristic, complemented
107	C₅₉×#479	C₂²	1	1	yes	characteristic, complemented
108	C₅₉×#479	C₂²	1	1	yes	characteristic, complemented
109	C₅₉×#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×#479	C₂²	1	1	yes	characteristic, complemented
114	C₅₉×#478	C₂²	1	1	yes	characteristic
115	C₅₉×#478	C₂²	1	1	yes	characteristic
116	C₅₉×#478	C₂²	1	1	yes	characteristic
117	C₅₉×#478	C₂²	1	1	yes	characteristic
118	C₅₉×#478	C₂²	1	1	yes	characteristic
119	C₅₉×#478	C₂²	1	1	yes	characteristic
120	C₅₉×#478	C₂²	1	1	yes	characteristic
121	C₅₉×#478	C₂²	1	1	yes	characteristic, complemented
122	C₅₉×#478	C₂²	1	1	yes	characteristic, complemented
123	C₅₉×#477	C₂²	1	1	yes	characteristic, complemented
124	C₅₉×#477	C₂²	1	1	yes	characteristic, complemented
125	C₅₉×#477	C₂²	1	1	yes	characteristic, complemented
126	C₅₉×#477	C₂²	1	1	yes	characteristic, complemented
127	C₅₉×#476	C₂²	1	1	yes	characteristic
128	C₅₉×#476	C₂²	1	1	yes	characteristic
129	C₅₉×#476	C₂²	1	1	yes	characteristic
130	C₅₉×#475	C₂²	1	1	yes	characteristic, complemented
131	C₅₉×#475	C₂²	1	1	yes	characteristic, complemented
132	C₅₉×#474	C₂²	1	1	yes	characteristic
133	C₅₉×#474	C₂²	1	1	yes	characteristic
134	C₅₉×#474	C₂²	1	1	yes	characteristic
135	C₅₉×#474	C₂²	1	1	yes	characteristic
136	C₅₉×#474	C₂²	1	1	yes	characteristic, complemented
137	C₅₉×#470	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, complemented
141	C₅₉×#467	C₂²	1	1	yes	characteristic
142	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
143	C₅₉×#467	C₂²	1	1	yes	characteristic, complemented
144	C₅₉×#466	C₂²	1	1	yes	characteristic
145	C₅₉×#466	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, complemented
149	C₅₉×#464	C₂²	1	1	yes	characteristic
150	C₅₉×#464	C₂²	1	1	yes	characteristic
151	C₅₉×#464	C₂²	1	1	yes	characteristic, complemented
152	C₅₉×#464	C₂²	1	1	yes	characteristic, complemented
153	C₅₉×#463	C₂²	1	1	yes	characteristic
154	C₅₉×#463	C₂²	1	1	yes	characteristic
155	C₅₉×#463	C₂²	1	1	yes	characteristic
156	C₅₉×#463	C₂²	1	1	yes	characteristic
157	C₅₉×#462	C₂²	1	1	yes	characteristic, complemented
158	C₅₉×#461	C₂²	1	1	yes	characteristic, complemented
159	C₅₉×#452	C₂²	1	1	yes	characteristic
160	C₅₉×#452	C₂²	1	1	yes	characteristic
161	C₅₉×#450	C₂²	1	1	yes	characteristic
162	C₅₉×#449	C₂²	1	1	yes	characteristic
163	C₅₉×#449	C₂²	1	1	yes	characteristic
164	C₅₉×#447	C₂²	1	1	yes	characteristic
165	C₅₉×#446	C₂²	1	1	yes	characteristic, complemented
166	C₈×Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
167	C₅₉×#442	C₂²	1	1	yes	characteristic
168	C₅₉×#442	C₂²	1	1	yes	characteristic
169	C₅₉×#441	C₂²	1	1	yes	characteristic, complemented
170	C₅₉×#440	C₂²	1	1	yes	characteristic
171	C₄×Q₁₆×C₅₉	C₂²	1	1	yes	characteristic, complemented
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, complemented
176	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₈×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, complemented
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, complemented
185	C₅₉×#433	C₂²	1	1	yes	characteristic
186	C₅₉×#433	C₂²	1	1	yes	characteristic, complemented
187	C₅₉×#431	C₂²	1	1	yes	characteristic, complemented
188	C₅₉×#428	C₂²	1	1	yes	characteristic
189	C₅₉×#428	C₂²	1	1	yes	characteristic, complemented
190	C₅₉×#427	C₂²	1	1	yes	characteristic
191	C₅₉×#427	C₂²	1	1	yes	characteristic, complemented
192	C₅₉×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×#107×C₅₉	C₂²	1	1	yes	characteristic, complemented
194	C₅₉×#424	C₂²	1	1	yes	characteristic
195	C₅₉×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
197	C₅₉×#418	C₂²	1	1	yes	characteristic
198	C₅₉×#417	C₂²	1	1	yes	characteristic
199	C₅₉×#416	C₂²	1	1	yes	characteristic
200	C₅₉×#416	C₂²	1	1	yes	characteristic
201	C₅₉×#416	C₂²	1	1	yes	characteristic
202	C₂×#102×C₅₉	C₂²	1	1	yes	characteristic
203	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
204	C₂×#41×C₅₉	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
206	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
207	C₂×Q₁₆×C₅₉	C₂³	1	1	yes	characteristic
208	C₂×SD₁₆×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×D₈×C₅₉	C₂³	1	1	yes	characteristic
213	C₂×D₈×C₅₉	C₂³	1	1	yes	characteristic
214	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
215	C₂×M₁₆×C₅₉	C₂³	1	1	yes	characteristic
216	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
217	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
218	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
220	C₄⋊Q₈×C₅₉	—	2	1	no	—
221	C₄⋊Q₈×C₅₉	—	2	1	no	—
222	C₄⋊Q₈×C₅₉	—	2	1	no	—
223	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
224	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
225	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
226	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
227	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
228	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
229	#126×C₅₉	—	2	1	no	—
230	#126×C₅₉	—	2	1	no	—
231	#126×C₅₉	—	2	1	no	—
232	#126×C₅₉	—	2	1	no	—
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	—	2	1	no	—
246	#126×C₅₉	—	2	1	no	—
247	#126×C₅₉	—	2	1	no	—
248	#126×C₅₉	D₄	1	1	yes	characteristic
249	#126×C₅₉	D₄	1	1	yes	characteristic
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	—	2	1	no	—
258	#125×C₅₉	—	2	1	no	—
259	#125×C₅₉	D₄	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	#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	D₄	1	1	yes	characteristic
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	#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	—	2	1	no	—
290	#123×C₅₉	—	2	1	no	—
291	#123×C₅₉	—	2	1	no	—
292	#123×C₅₉	—	2	1	no	—
293	#123×C₅₉	D₄	1	1	yes	characteristic
294	#123×C₅₉	D₄	1	1	yes	characteristic
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	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
319	#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	D₄	1	1	yes	characteristic
327	#121×C₅₉	C₂³	1	1	yes	characteristic
328	#121×C₅₉	C₂³	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	#120×C₅₉	—	2	1	no	—
333	#120×C₅₉	—	2	1	no	—
334	C₄×Q₈×C₅₉	—	2	1	no	—
335	C₄×Q₈×C₅₉	—	2	1	no	—
336	C₄×Q₈×C₅₉	—	2	1	no	—
337	C₄×Q₈×C₅₉	—	2	1	no	—
338	C₄×Q₈×C₅₉	—	2	1	no	—
339	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
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×D₄×C₅₉	—	2	1	no	—
348	C₄×D₄×C₅₉	—	2	1	no	—
349	C₄×D₄×C₅₉	—	2	1	no	—
350	C₄×D₄×C₅₉	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
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	#117×C₅₉	—	2	1	no	—
371	#117×C₅₉	—	2	1	no	—
372	#117×C₅₉	—	2	1	no	—
373	#117×C₅₉	—	2	1	no	—
374	#117×C₅₉	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
380	#117×C₅₉	C₂³	1	1	yes	characteristic
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	#117×C₅₉	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
394	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
395	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
396	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
397	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
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	#107×C₅₉	C₂³	1	1	yes	characteristic
411	#107×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	#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	#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	C₂⁴×C₅₉	—	2	1	no	—
479	#41×C₅₉	—	2	2	no	—
480	#41×C₅₉	—	2	2	no	—
481	#41×C₅₉	—	4	1	no	—
482	#41×C₅₉	—	4	1	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	C₂×D₄	1	1	yes	characteristic
489	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
490	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
491	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₅₉	—	2	2	no	—
493	C₂×D₄×C₅₉	—	2	1	no	—
494	C₂×D₄×C₅₉	—	2	1	no	—
495	C₂×D₄×C₅₉	—	2	1	no	—
496	C₂×D₄×C₅₉	—	2	1	no	—
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	—	4	1	no	—
502	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₅₉	—	2	1	no	—
509	C₂²×C₄×C₅₉	—	2	1	no	—
510	C₂²×C₄×C₅₉	—	2	1	no	—
511	C₂²×C₄×C₅₉	—	2	1	no	—
512	C₂²×C₄×C₅₉	—	2	1	no	—
513	C₂²×C₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
523	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
524	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
527	Q₁₆×C₅₉	—	4	1	no	—
528	Q₁₆×C₅₉	—	4	1	no	—
529	SD₁₆×C₅₉	—	2	2	no	—
530	SD₁₆×C₅₉	—	4	1	no	—
531	SD₁₆×C₅₉	—	4	1	no	—
532	SD₁₆×C₅₉	—	4	1	no	—
533	D₈×C₅₉	—	2	2	no	—
534	D₈×C₅₉	—	4	1	no	—
535	M₁₆×C₅₉	—	4	1	no	—
536	M₁₆×C₅₉	—	4	1	no	—
537	C₂×C₈×C₅₉	—	4	1	no	—
538	C₂×C₈×C₅₉	—	4	1	no	—
539	C₂×C₈×C₅₉	—	4	1	no	—
540	C₂×C₈×C₅₉	—	4	1	no	—
541	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
542	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
543	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
544	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
545	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
546	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
547	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
548	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
549	C₄⋊C₄×C₅₉	—	2	1	no	—
550	C₄⋊C₄×C₅₉	—	2	1	no	—
551	C₄⋊C₄×C₅₉	—	2	1	no	—
552	C₄⋊C₄×C₅₉	—	2	1	no	—
553	C₄⋊C₄×C₅₉	—	2	1	no	—
554	C₄⋊C₄×C₅₉	—	2	1	no	—
555	C₄⋊C₄×C₅₉	—	2	1	no	—
556	C₄⋊C₄×C₅₉	—	2	1	no	—
557	C₄⋊C₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
588	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
589	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
590	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
591	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
592	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
593	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
594	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
595	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
596	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
597	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
598	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
599	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
600	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
601	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
602	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
603	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
604	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
605	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
607	C₂²⋊C₄×C₅₉	—	2	1	no	—
608	C₂²⋊C₄×C₅₉	—	2	1	no	—
609	C₂²⋊C₄×C₅₉	—	2	1	no	—
610	C₂²⋊C₄×C₅₉	—	2	1	no	—
611	C₂²⋊C₄×C₅₉	—	2	1	no	—
612	C₂²⋊C₄×C₅₉	—	2	1	no	—
613	C₂²⋊C₄×C₅₉	—	2	1	no	—
614	C₂²⋊C₄×C₅₉	—	2	1	no	—
615	C₂²⋊C₄×C₅₉	—	2	1	no	—
616	C₂²⋊C₄×C₅₉	—	2	1	no	—
617	C₂²⋊C₄×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₅₉	—	2	1	no	—
651	C₄²×C₅₉	—	2	1	no	—
652	C₄²×C₅₉	—	2	1	no	—
653	C₄²×C₅₉	—	2	1	no	—
654	C₄²×C₅₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
666	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
667	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
668	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
669	C₂³×C₅₉	—	2	1	no	—
670	C₂³×C₅₉	—	2	1	no	—
671	C₂³×C₅₉	—	2	1	no	—
672	C₂³×C₅₉	—	4	2	no	—
673	C₂³×C₅₉	—	8	1	no	—
674	C₂³×C₅₉	—	8	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	—	2	1	no	—
684	Q₈×C₅₉	—	4	1	no	—
685	Q₈×C₅₉	—	8	1	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	D₄×C₅₉	—	2	1	no	—
691	D₄×C₅₉	—	2	1	no	—
692	D₄×C₅₉	—	2	1	no	—
693	D₄×C₅₉	—	2	1	no	—
694	D₄×C₅₉	—	2	1	no	—
695	D₄×C₅₉	—	4	1	no	—
696	D₄×C₅₉	—	4	1	no	—
697	D₄×C₅₉	—	4	1	no	—
698	D₄×C₅₉	—	4	2	no	—
699	D₄×C₅₉	—	4	2	no	—
700	D₄×C₅₉	—	4	2	no	—
701	D₄×C₅₉	—	8	1	no	—
702	D₄×C₅₉	—	8	1	no	—
703	D₄×C₅₉	—	8	1	no	—
704	D₄×C₅₉	—	8	1	no	—
705	D₄×C₅₉	—	8	1	no	—
706	D₄×C₅₉	2₋¹⁺⁴	1	2	yes	—
707	C₂×C₄×C₅₉	—	2	1	no	—
708	C₂×C₄×C₅₉	—	2	1	no	—
709	C₂×C₄×C₅₉	—	2	1	no	—
710	C₂×C₄×C₅₉	—	2	1	no	—
711	C₂×C₄×C₅₉	—	2	1	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	—	4	1	no	—
727	C₂×C₄×C₅₉	—	4	1	no	—
728	C₂×C₄×C₅₉	—	4	2	no	—
729	C₂×C₄×C₅₉	—	4	2	no	—
730	C₂×C₄×C₅₉	—	8	1	no	—
731	C₂×C₄×C₅₉	—	8	1	no	—
732	C₂×C₄×C₅₉	—	8	1	no	—
733	C₂×C₄×C₅₉	—	8	1	no	—
734	C₂×C₄×C₅₉	—	8	1	no	—
735	C₂×C₄×C₅₉	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
743	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
744	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
745	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
746	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
747	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
748	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
754	C₈×C₅₉	—	2	1	no	—
755	C₈×C₅₉	—	2	1	no	—
756	C₈×C₅₉	—	2	1	no	—
757	C₈×C₅₉	—	2	1	no	—
758	C₈×C₅₉	—	2	1	no	—
759	C₈×C₅₉	—	2	1	no	—
760	C₈×C₅₉	—	2	1	no	—
761	C₈×C₅₉	—	2	1	no	—
762	#62207	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
763	C₂²×C₅₉	—	2	1	no	—
764	C₂²×C₅₉	—	2	1	no	—
765	C₂²×C₅₉	—	2	1	no	—
766	C₂²×C₅₉	—	2	1	no	—
767	C₂²×C₅₉	—	2	1	no	—
768	C₂²×C₅₉	—	2	1	no	—
769	C₂²×C₅₉	—	2	1	no	—
770	C₂²×C₅₉	—	2	1	no	—
771	C₂²×C₅₉	—	2	1	no	—
772	C₂²×C₅₉	—	2	2	no	—
773	C₂²×C₅₉	—	4	1	no	—
774	C₂²×C₅₉	—	4	1	no	—
775	C₂²×C₅₉	—	4	1	no	—
776	C₂²×C₅₉	—	4	1	no	—
777	C₂²×C₅₉	—	4	1	no	—
778	C₂²×C₅₉	—	4	1	no	—
779	C₂²×C₅₉	—	4	1	no	—
780	C₂²×C₅₉	—	4	1	no	—
781	C₂²×C₅₉	—	16	2	no	—
782	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
783	C₄×C₅₉	—	2	1	no	—
784	C₄×C₅₉	—	2	1	no	—
785	C₄×C₅₉	—	2	1	no	—
786	C₄×C₅₉	—	2	1	no	—
787	C₄×C₅₉	—	2	1	no	—
788	C₄×C₅₉	—	2	1	no	—
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	—	4	1	no	—
795	C₄×C₅₉	—	4	1	no	—
796	C₄×C₅₉	—	4	1	no	—
797	C₄×C₅₉	—	4	1	no	—
798	C₄×C₅₉	—	4	1	no	—
799	C₄×C₅₉	—	4	1	no	—
800	C₄×C₅₉	—	4	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
808	C₄×C₅₉	#585	1	1	yes	characteristic
809	#3565	C₂×C₅₉	1	1	yes	characteristic, complemented
810	#3521	C₂×C₅₉	1	1	yes	characteristic, complemented
811	#3389	C₂×C₅₉	1	1	yes	characteristic, complemented
812	#3381	C₂×C₅₉	1	1	yes	characteristic, complemented
813	#3377	C₂×C₅₉	1	1	yes	characteristic, complemented
814	#3360	C₂×C₅₉	1	1	yes	characteristic, complemented
815	#3351	C₂×C₅₉	1	1	yes	characteristic, complemented
816	#3350	C₂×C₅₉	1	1	yes	characteristic, complemented
817	#3349	C₂×C₅₉	1	1	yes	characteristic, complemented
818	#3340	C₂×C₅₉	1	1	yes	characteristic, complemented
819	#3339	C₂×C₅₉	1	1	yes	characteristic, complemented
820	#3336	C₂×C₅₉	1	1	yes	characteristic, complemented
821	#3323	C₂×C₅₉	1	1	yes	characteristic, complemented
822	#3319	C₂×C₅₉	1	1	yes	characteristic, complemented
823	#3307	C₂×C₅₉	1	1	yes	characteristic, complemented
824	#3302	C₂×C₅₉	1	1	yes	characteristic, complemented
825	#3297	C₂×C₅₉	1	1	yes	characteristic, complemented
826	#3296	C₂×C₅₉	1	1	yes	characteristic, complemented
827	#3262	C₂×C₅₉	1	1	yes	characteristic, complemented
828	#3258	C₂×C₅₉	1	1	yes	characteristic, complemented
829	#3250	C₂×C₅₉	1	1	yes	characteristic, complemented
830	#3244	C₂×C₅₉	1	1	yes	characteristic, complemented
831	#3242	C₂×C₅₉	1	1	yes	characteristic, complemented
832	#3233	C₂×C₅₉	1	1	yes	characteristic, complemented
833	#3125	C₂×C₅₉	1	1	yes	characteristic, complemented
834	#3118	C₂×C₅₉	1	1	yes	characteristic, complemented
835	#3102	C₂×C₅₉	1	1	yes	characteristic, complemented
836	#3083	C₂×C₅₉	1	1	yes	characteristic, complemented
837	#3081	C₂×C₅₉	1	1	yes	characteristic, complemented
838	#3076	C₂×C₅₉	1	1	yes	characteristic, complemented
839	#2994	C₂×C₅₉	1	1	yes	characteristic, complemented
840	C₂×C₅₉	—	4	1	no	—
841	C₂×C₅₉	—	4	1	no	—
842	C₂×C₅₉	—	4	1	no	—
843	C₂×C₅₉	—	4	2	no	—
844	C₂×C₅₉	—	8	1	no	—
845	C₂×C₅₉	—	8	1	no	—
846	C₂×C₅₉	#3489	1	1	yes	characteristic
847	C₂×C₅₉	#3584	1	1	yes	characteristic
848	C₂×C₅₉	#3584	1	1	yes	characteristic
849	#563	—	2	1	no	—
850	#562	—	2	1	no	—
851	#557	C₂²×C₅₉	1	1	yes	characteristic, complemented
852	#556	—	2	1	no	—
853	#556	C₂²×C₅₉	1	1	yes	characteristic
854	#556	C₂²×C₅₉	1	1	yes	characteristic
855	#556	C₂²×C₅₉	1	1	yes	characteristic, complemented
856	#555	C₂²×C₅₉	1	1	yes	characteristic
857	#554	C₂²×C₅₉	1	1	yes	characteristic
858	#554	C₂²×C₅₉	1	1	yes	characteristic, complemented
859	#553	—	2	1	no	—
860	#553	C₂²×C₅₉	1	1	yes	characteristic
861	#553	C₂²×C₅₉	1	1	yes	characteristic
862	#553	C₂²×C₅₉	1	1	yes	characteristic, complemented
863	#552	—	2	1	no	—
864	#552	—	2	1	no	—
865	#552	C₂²×C₅₉	1	1	yes	characteristic
866	#552	C₂²×C₅₉	1	1	yes	characteristic
867	#552	C₂²×C₅₉	1	1	yes	characteristic
868	#551	—	2	1	no	—
869	#551	—	2	1	no	—
870	#547	C₂²×C₅₉	1	1	yes	characteristic
871	#546	C₂²×C₅₉	1	1	yes	characteristic
872	#546	C₂²×C₅₉	1	1	yes	characteristic
873	#544	C₂²×C₅₉	1	1	yes	characteristic
874	#544	C₂²×C₅₉	1	1	yes	characteristic, complemented
875	#542	—	2	1	no	—
876	#542	—	2	1	no	—
877	#542	C₂²×C₅₉	1	1	yes	characteristic
878	#542	C₂²×C₅₉	1	1	yes	characteristic
879	#542	C₂²×C₅₉	1	1	yes	characteristic, complemented
880	#541	—	2	1	no	—
881	#541	C₂²×C₅₉	1	1	yes	characteristic
882	#539	—	2	1	no	—
883	#539	—	2	1	no	—
884	#538	—	2	1	no	—
885	#533	C₂²×C₅₉	1	1	yes	characteristic, complemented
886	#529	—	2	1	no	—
887	#529	C₂²×C₅₉	1	1	yes	characteristic
888	#529	C₂²×C₅₉	1	1	yes	characteristic
889	#529	C₂²×C₅₉	1	1	yes	characteristic, complemented
890	C₂×#126	—	2	1	no	—
891	#520	C₂²×C₅₉	1	1	yes	characteristic
892	#518	C₂²×C₅₉	1	1	yes	characteristic
893	C₄×#41	C₂²×C₅₉	1	1	yes	characteristic
894	#501	C₂²×C₅₉	1	1	yes	characteristic, complemented
895	#501	C₂²×C₅₉	1	1	yes	characteristic, complemented
896	#499	C₂²×C₅₉	1	1	yes	characteristic, complemented
897	#499	C₂²×C₅₉	1	1	yes	characteristic, complemented
898	#499	C₂²×C₅₉	1	1	yes	characteristic, complemented
899	#498	C₂²×C₅₉	1	1	yes	characteristic, complemented
900	#491	C₂²×C₅₉	1	1	yes	characteristic, complemented
901	#489	C₂²×C₅₉	1	1	yes	characteristic
902	#488	C₂²×C₅₉	1	1	yes	characteristic
903	#488	C₂²×C₅₉	1	1	yes	characteristic
904	#488	C₂²×C₅₉	1	1	yes	characteristic
905	#487	C₂²×C₅₉	1	1	yes	characteristic, complemented
906	#485	C₂²×C₅₉	1	1	yes	characteristic
907	#485	C₂²×C₅₉	1	1	yes	characteristic
908	#485	C₂²×C₅₉	1	1	yes	characteristic
909	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
910	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
911	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
912	#485	C₂²×C₅₉	1	1	yes	characteristic, complemented
913	#484	C₂²×C₅₉	1	1	yes	characteristic
914	#483	C₂²×C₅₉	1	1	yes	characteristic
915	#483	C₂²×C₅₉	1	1	yes	characteristic, complemented
916	#483	C₂²×C₅₉	1	1	yes	characteristic, complemented
917	#482	C₂²×C₅₉	1	1	yes	characteristic
918	#482	C₂²×C₅₉	1	1	yes	characteristic
919	#482	C₂²×C₅₉	1	1	yes	characteristic
920	#482	C₂²×C₅₉	1	1	yes	characteristic
921	#482	C₂²×C₅₉	1	1	yes	characteristic, complemented
922	#481	C₂²×C₅₉	1	1	yes	characteristic
923	#481	C₂²×C₅₉	1	1	yes	characteristic, complemented
924	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
925	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
926	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
927	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
928	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
929	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
930	#479	C₂²×C₅₉	1	1	yes	characteristic, complemented
931	#478	C₂²×C₅₉	1	1	yes	characteristic
932	#478	C₂²×C₅₉	1	1	yes	characteristic
933	#478	C₂²×C₅₉	1	1	yes	characteristic
934	#478	C₂²×C₅₉	1	1	yes	characteristic
935	#478	C₂²×C₅₉	1	1	yes	characteristic
936	#478	C₂²×C₅₉	1	1	yes	characteristic
937	#478	C₂²×C₅₉	1	1	yes	characteristic
938	#478	C₂²×C₅₉	1	1	yes	characteristic, complemented
939	#478	C₂²×C₅₉	1	1	yes	characteristic, complemented
940	#477	C₂²×C₅₉	1	1	yes	characteristic, complemented
941	#477	C₂²×C₅₉	1	1	yes	characteristic, complemented
942	#477	C₂²×C₅₉	1	1	yes	characteristic, complemented
943	#477	C₂²×C₅₉	1	1	yes	characteristic, complemented
944	#476	C₂²×C₅₉	1	1	yes	characteristic
945	#476	C₂²×C₅₉	1	1	yes	characteristic
946	#476	C₂²×C₅₉	1	1	yes	characteristic
947	#475	C₂²×C₅₉	1	1	yes	characteristic, complemented
948	#475	C₂²×C₅₉	1	1	yes	characteristic, complemented
949	#474	C₂²×C₅₉	1	1	yes	characteristic
950	#474	C₂²×C₅₉	1	1	yes	characteristic
951	#474	C₂²×C₅₉	1	1	yes	characteristic
952	#474	C₂²×C₅₉	1	1	yes	characteristic
953	#474	C₂²×C₅₉	1	1	yes	characteristic, complemented
954	#470	C₂²×C₅₉	1	1	yes	characteristic
955	#468	C₂²×C₅₉	1	1	yes	characteristic
956	#468	C₂²×C₅₉	1	1	yes	characteristic
957	#468	C₂²×C₅₉	1	1	yes	characteristic, complemented
958	#467	C₂²×C₅₉	1	1	yes	characteristic
959	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
960	#467	C₂²×C₅₉	1	1	yes	characteristic, complemented
961	#466	C₂²×C₅₉	1	1	yes	characteristic
962	#466	C₂²×C₅₉	1	1	yes	characteristic
963	#465	C₂²×C₅₉	1	1	yes	characteristic
964	#465	C₂²×C₅₉	1	1	yes	characteristic
965	#465	C₂²×C₅₉	1	1	yes	characteristic, complemented
966	#464	C₂²×C₅₉	1	1	yes	characteristic
967	#464	C₂²×C₅₉	1	1	yes	characteristic
968	#464	C₂²×C₅₉	1	1	yes	characteristic, complemented
969	#464	C₂²×C₅₉	1	1	yes	characteristic, complemented
970	#463	C₂²×C₅₉	1	1	yes	characteristic
971	#463	C₂²×C₅₉	1	1	yes	characteristic
972	#463	C₂²×C₅₉	1	1	yes	characteristic
973	#463	C₂²×C₅₉	1	1	yes	characteristic
974	#462	C₂²×C₅₉	1	1	yes	characteristic, complemented
975	#461	C₂²×C₅₉	1	1	yes	characteristic, complemented
976	#452	C₂²×C₅₉	1	1	yes	characteristic
977	#452	C₂²×C₅₉	1	1	yes	characteristic
978	#450	C₂²×C₅₉	1	1	yes	characteristic
979	#449	C₂²×C₅₉	1	1	yes	characteristic
980	#449	C₂²×C₅₉	1	1	yes	characteristic
981	#447	C₂²×C₅₉	1	1	yes	characteristic
982	#446	C₂²×C₅₉	1	1	yes	characteristic, complemented
983	C₈×Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
984	#442	C₂²×C₅₉	1	1	yes	characteristic
985	#442	C₂²×C₅₉	1	1	yes	characteristic
986	#441	C₂²×C₅₉	1	1	yes	characteristic, complemented
987	#440	C₂²×C₅₉	1	1	yes	characteristic
988	C₄×Q₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
989	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
990	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
991	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
992	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
993	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic, complemented
994	C₄×D₈	C₂²×C₅₉	1	1	yes	characteristic
995	C₄×D₈	C₂²×C₅₉	1	1	yes	characteristic
996	#436	C₂²×C₅₉	1	1	yes	characteristic
997	#435	C₂²×C₅₉	1	1	yes	characteristic
998	#435	C₂²×C₅₉	1	1	yes	characteristic, complemented
999	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
1000	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
1001	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic, complemented
1002	#433	C₂²×C₅₉	1	1	yes	characteristic
1003	#433	C₂²×C₅₉	1	1	yes	characteristic, complemented
1004	#431	C₂²×C₅₉	1	1	yes	characteristic, complemented
1005	#428	C₂²×C₅₉	1	1	yes	characteristic
1006	#428	C₂²×C₅₉	1	1	yes	characteristic, complemented
1007	#427	C₂²×C₅₉	1	1	yes	characteristic
1008	#427	C₂²×C₅₉	1	1	yes	characteristic, complemented
1009	#427	C₂²×C₅₉	1	1	yes	characteristic, complemented
1010	C₂×#107	C₂²×C₅₉	1	1	yes	characteristic, complemented
1011	#424	C₂²×C₅₉	1	1	yes	characteristic
1012	#424	C₂²×C₅₉	1	1	yes	characteristic, complemented
1013	C₂×C₄⋊C₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
1014	#418	C₂²×C₅₉	1	1	yes	characteristic
1015	#417	C₂²×C₅₉	1	1	yes	characteristic
1016	#416	C₂²×C₅₉	1	1	yes	characteristic
1017	#416	C₂²×C₅₉	1	1	yes	characteristic
1018	#416	C₂²×C₅₉	1	1	yes	characteristic
1019	C₂×#102	C₂²×C₅₉	1	1	yes	characteristic
1020	C₅₉	#62207	1	1	yes	characteristic, direct product factor, Sylow
1021	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1022	C₂×#41	C₂³×C₅₉	1	1	yes	characteristic
1023	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
1024	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1025	C₂×Q₁₆	C₂³×C₅₉	1	1	yes	characteristic
1026	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1027	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1028	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1029	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
1030	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1031	C₂×D₈	C₂³×C₅₉	1	1	yes	characteristic
1032	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1033	C₂×M₁₆	C₂³×C₅₉	1	1	yes	characteristic
1034	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1035	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1036	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1037	C₂²×C₈	C₂³×C₅₉	1	1	yes	characteristic
1038	C₄⋊Q₈	—	2	1	no	—
1039	C₄⋊Q₈	—	2	1	no	—
1040	C₄⋊Q₈	—	2	1	no	—
1041	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1042	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1043	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1044	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1045	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1046	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1047	#126	—	2	1	no	—
1048	#126	—	2	1	no	—
1049	#126	—	2	1	no	—
1050	#126	—	2	1	no	—
1051	#126	—	2	1	no	—
1052	#126	—	2	1	no	—
1053	#126	—	2	1	no	—
1054	#126	—	2	1	no	—
1055	#126	—	2	1	no	—
1056	#126	—	2	1	no	—
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	D₄×C₅₉	1	1	yes	characteristic
1067	#126	D₄×C₅₉	1	1	yes	characteristic
1068	#125	—	2	1	no	—
1069	#125	—	2	1	no	—
1070	#125	—	2	1	no	—
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	D₄×C₅₉	1	1	yes	characteristic
1078	#125	C₂³×C₅₉	1	1	yes	characteristic
1079	#125	C₂³×C₅₉	1	1	yes	characteristic
1080	#125	C₂³×C₅₉	1	1	yes	characteristic
1081	#125	C₂³×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	#124	—	2	1	no	—
1086	#124	—	2	1	no	—
1087	#124	—	2	1	no	—
1088	#124	—	2	1	no	—
1089	#124	—	2	1	no	—
1090	#124	—	2	1	no	—
1091	#124	—	2	1	no	—
1092	#124	D₄×C₅₉	1	1	yes	characteristic
1093	#124	C₂³×C₅₉	1	1	yes	characteristic
1094	#124	C₂³×C₅₉	1	1	yes	characteristic
1095	#124	C₂³×C₅₉	1	1	yes	characteristic
1096	#123	—	2	1	no	—
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	D₄×C₅₉	1	1	yes	characteristic
1112	#123	D₄×C₅₉	1	1	yes	characteristic
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	2	1	no	—
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	D₄×C₅₉	1	1	yes	characteristic
1130	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1131	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1132	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1133	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1134	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1135	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1136	C₂²⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
1137	#121	—	2	1	no	—
1138	#121	—	2	1	no	—
1139	#121	—	2	1	no	—
1140	#121	—	2	1	no	—
1141	#121	—	2	1	no	—
1142	#121	—	2	1	no	—
1143	#121	—	2	1	no	—
1144	#121	D₄×C₅₉	1	1	yes	characteristic
1145	#121	C₂³×C₅₉	1	1	yes	characteristic
1146	#121	C₂³×C₅₉	1	1	yes	characteristic
1147	#121	C₂³×C₅₉	1	1	yes	characteristic
1148	#121	C₂³×C₅₉	1	1	yes	characteristic
1149	#121	C₂³×C₅₉	1	1	yes	characteristic
1150	#120	—	2	1	no	—
1151	#120	—	2	1	no	—
1152	C₄×Q₈	—	2	1	no	—
1153	C₄×Q₈	—	2	1	no	—
1154	C₄×Q₈	—	2	1	no	—
1155	C₄×Q₈	—	2	1	no	—
1156	C₄×Q₈	—	2	1	no	—
1157	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1158	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1159	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1160	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1161	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1162	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1163	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1164	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	—	2	1	no	—
1167	C₄×D₄	—	2	1	no	—
1168	C₄×D₄	—	2	1	no	—
1169	C₄×D₄	—	2	1	no	—
1170	C₄×D₄	—	2	1	no	—
1171	C₄×D₄	—	2	1	no	—
1172	C₄×D₄	—	2	1	no	—
1173	C₄×D₄	—	2	1	no	—
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	2	1	no	—
1176	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1177	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1178	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1179	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1180	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1181	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1182	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1183	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1184	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1185	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1186	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1187	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
1188	#117	—	2	1	no	—
1189	#117	—	2	1	no	—
1190	#117	—	2	1	no	—
1191	#117	—	2	1	no	—
1192	#117	—	2	1	no	—
1193	#117	—	2	1	no	—
1194	#117	—	2	1	no	—
1195	#117	—	2	1	no	—
1196	#117	—	2	1	no	—
1197	#117	C₂³×C₅₉	1	1	yes	characteristic
1198	#117	C₂³×C₅₉	1	1	yes	characteristic
1199	#117	C₂³×C₅₉	1	1	yes	characteristic
1200	#117	C₂³×C₅₉	1	1	yes	characteristic
1201	#117	C₂³×C₅₉	1	1	yes	characteristic
1202	#117	C₂³×C₅₉	1	1	yes	characteristic
1203	#117	C₂³×C₅₉	1	1	yes	characteristic
1204	#117	C₂³×C₅₉	1	1	yes	characteristic
1205	C₂×C₄⋊C₄	—	2	1	no	—
1206	C₂×C₄⋊C₄	—	2	1	no	—
1207	C₂×C₄⋊C₄	—	2	1	no	—
1208	C₂×C₄⋊C₄	—	2	1	no	—
1209	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1210	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1211	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
1212	C₂×C₂²⋊C₄	—	2	1	no	—
1213	C₂×C₂²⋊C₄	—	2	1	no	—
1214	C₂×C₂²⋊C₄	—	2	1	no	—
1215	C₂×C₂²⋊C₄	—	2	1	no	—
1216	C₂×C₄²	—	2	1	no	—
1217	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
1218	#107	C₂³×C₅₉	1	1	yes	characteristic
1219	#107	C₂³×C₅₉	1	1	yes	characteristic
1220	#107	C₂³×C₅₉	1	1	yes	characteristic
1221	#107	C₂³×C₅₉	1	1	yes	characteristic
1222	#107	C₂³×C₅₉	1	1	yes	characteristic
1223	#107	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	#106	C₂³×C₅₉	1	1	yes	characteristic
1231	#106	C₂³×C₅₉	1	1	yes	characteristic
1232	#106	C₂³×C₅₉	1	1	yes	characteristic
1233	#106	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	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1243	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1244	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1245	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1246	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1247	C₄⋊C₈	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	#103	C₂³×C₅₉	1	1	yes	characteristic
1253	#103	C₂³×C₅₉	1	1	yes	characteristic
1254	#103	C₂³×C₅₉	1	1	yes	characteristic
1255	#103	C₂³×C₅₉	1	1	yes	characteristic
1256	#103	C₂³×C₅₉	1	1	yes	characteristic
1257	#103	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	#102	C₂³×C₅₉	1	1	yes	characteristic
1269	#102	C₂³×C₅₉	1	1	yes	characteristic
1270	#102	C₂³×C₅₉	1	1	yes	characteristic
1271	#102	C₂³×C₅₉	1	1	yes	characteristic
1272	#102	C₂³×C₅₉	1	1	yes	characteristic
1273	#102	C₂³×C₅₉	1	1	yes	characteristic
1274	#102	C₂³×C₅₉	1	1	yes	characteristic
1275	#102	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	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1287	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
1290	#97	C₂³×C₅₉	1	1	yes	characteristic
1291	#97	C₂³×C₅₉	1	1	yes	characteristic
1292	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1293	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1294	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1295	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
1296	C₂⁴	—	2	1	no	—
1297	#41	—	2	2	no	—
1298	#41	—	2	2	no	—
1299	#41	—	4	1	no	—
1300	#41	—	4	1	no	—
1301	C₂×Q₈	—	2	1	no	—
1302	C₂×Q₈	—	2	1	no	—
1303	C₂×Q₈	—	2	1	no	—
1304	C₂×Q₈	—	2	1	no	—
1305	C₂×Q₈	—	2	1	no	—
1306	C₂×Q₈	C₂×D₄×C₅₉	1	1	yes	characteristic
1307	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1308	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1309	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
1310	C₂×D₄	—	2	2	no	—
1311	C₂×D₄	—	2	1	no	—
1312	C₂×D₄	—	2	1	no	—
1313	C₂×D₄	—	2	1	no	—
1314	C₂×D₄	—	2	1	no	—
1315	C₂×D₄	—	2	1	no	—
1316	C₂×D₄	—	2	1	no	—
1317	C₂×D₄	—	2	1	no	—
1318	C₂×D₄	—	2	1	no	—
1319	C₂×D₄	—	4	1	no	—
1320	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1321	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1322	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1323	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1324	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1325	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
1326	C₂²×C₄	—	2	1	no	—
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	2	1	no	—
1335	C₂²×C₄	—	2	1	no	—
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1341	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1342	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1343	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1345	Q₁₆	—	4	1	no	—
1346	Q₁₆	—	4	1	no	—
1347	SD₁₆	—	2	2	no	—
1348	SD₁₆	—	4	1	no	—
1349	SD₁₆	—	4	1	no	—
1350	SD₁₆	—	4	1	no	—
1351	D₈	—	2	2	no	—
1352	D₈	—	4	1	no	—
1353	M₁₆	—	4	1	no	—
1354	M₁₆	—	4	1	no	—
1355	C₂×C₈	—	4	1	no	—
1356	C₂×C₈	—	4	1	no	—
1357	C₂×C₈	—	4	1	no	—
1358	C₂×C₈	—	4	1	no	—
1359	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1360	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1361	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1362	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1363	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1364	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1365	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1366	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₅₉	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1411	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1412	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1413	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1414	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1415	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1416	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1417	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1418	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1419	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1420	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1421	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1422	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1423	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1424	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₅₉	1	1	yes	characteristic
1459	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1460	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1462	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1463	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1464	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1465	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1466	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
1468	C₄²	—	2	1	no	—
1469	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	2	1	no	—
1472	C₄²	—	2	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1482	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1483	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1484	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1485	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1486	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1487	C₂³	—	2	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	4	2	no	—
1491	C₂³	—	8	1	no	—
1492	C₂³	—	8	1	no	—
1493	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1494	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1495	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	2	1	no	—
1499	Q₈	—	2	1	no	—
1500	Q₈	—	2	1	no	—
1501	Q₈	—	2	1	no	—
1502	Q₈	—	4	1	no	—
1503	Q₈	—	8	1	no	—
1504	Q₈	—	8	1	no	—
1505	Q₈	—	8	1	no	—
1506	Q₈	—	8	1	no	—
1507	Q₈	—	8	1	no	—
1508	D₄	—	2	1	no	—
1509	D₄	—	2	1	no	—
1510	D₄	—	2	1	no	—
1511	D₄	—	2	1	no	—
1512	D₄	—	2	1	no	—
1513	D₄	—	4	1	no	—
1514	D₄	—	4	1	no	—
1515	D₄	—	4	1	no	—
1516	D₄	—	4	2	no	—
1517	D₄	—	4	2	no	—
1518	D₄	—	4	2	no	—
1519	D₄	—	8	1	no	—
1520	D₄	—	8	1	no	—
1521	D₄	—	8	1	no	—
1522	D₄	—	8	1	no	—
1523	D₄	—	8	1	no	—
1524	D₄	2₋¹⁺⁴×C₅₉	1	2	yes	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	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	—	4	1	no	—
1545	C₂×C₄	—	4	1	no	—
1546	C₂×C₄	—	4	2	no	—
1547	C₂×C₄	—	4	2	no	—
1548	C₂×C₄	—	8	1	no	—
1549	C₂×C₄	—	8	1	no	—
1550	C₂×C₄	—	8	1	no	—
1551	C₂×C₄	—	8	1	no	—
1552	C₂×C₄	—	8	1	no	—
1553	C₂×C₄	—	8	1	no	—
1554	C₂×C₄	—	8	1	no	—
1555	C₂×C₄	—	8	1	no	—
1556	C₂×C₄	—	8	1	no	—
1557	C₂×C₄	—	8	1	no	—
1558	C₂×C₄	—	8	1	no	—
1559	C₂×C₄	—	8	1	no	—
1560	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1561	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1562	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1563	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1564	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1565	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1566	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1567	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1568	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1569	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1570	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1571	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	2	1	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	2	1	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	2	1	no	—
1588	C₂²	—	2	1	no	—
1589	C₂²	—	2	2	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	16	2	no	—
1599	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	2	1	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	1	no	—
1605	C₄	—	2	1	no	—
1606	C₄	—	2	1	no	—
1607	C₄	—	2	1	no	—
1608	C₄	—	2	1	no	—
1609	C₄	—	2	1	no	—
1610	C₄	—	2	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₄	—	4	1	no	—
1615	C₄	—	4	1	no	—
1616	C₄	—	4	1	no	—
1617	C₄	—	4	1	no	—
1618	C₄	—	4	1	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	—	4	1	no	—
1622	C₄	—	4	1	no	—
1623	C₄	—	4	1	no	—
1624	C₄	C₂×2₋¹⁺⁴×C₅₉	1	1	yes	characteristic
1625	C₄	C₅₉×#585	1	1	yes	characteristic
1626	C₂	—	4	1	no	—
1627	C₂	—	4	1	no	—
1628	C₂	—	4	1	no	—
1629	C₂	—	4	2	no	—
1630	C₂	—	8	1	no	—
1631	C₂	—	8	1	no	—
1632	C₂	C₅₉×#3489	1	1	yes	characteristic
1633	C₂	C₅₉×#3584	1	1	yes	characteristic
1634	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×#3565	C₂	semidirect
2. C₅₉×#3521	C₂	semidirect
3. C₅₉×#3389	C₂	semidirect
4. C₅₉×#3381	C₂	semidirect
5. C₅₉×#3377	C₂	semidirect
6. C₅₉×#3360	C₂	semidirect
7. C₅₉×#3351	C₂	semidirect
8. C₅₉×#3350	C₂	semidirect
9. C₅₉×#3349	C₂	semidirect
10. C₅₉×#3340	C₂	semidirect
11. C₅₉×#3339	C₂	semidirect
12. C₅₉×#3336	C₂	semidirect
13. C₅₉×#3323	C₂	semidirect
14. C₅₉×#3319	C₂	semidirect
15. C₅₉×#3307	C₂	semidirect
16. C₅₉×#3302	C₂	semidirect
17. C₅₉×#3297	C₂	semidirect
18. C₅₉×#3296	C₂	semidirect
19. C₅₉×#3262	C₂	semidirect
20. C₅₉×#3258	C₂	semidirect
21. C₅₉×#3250	C₂	semidirect
22. C₅₉×#3244	C₂	semidirect
23. C₅₉×#3242	C₂	semidirect
24. C₅₉×#3233	C₂	semidirect
25. C₅₉×#3125	C₂	semidirect
26. C₅₉×#3118	C₂	semidirect
27. C₅₉×#3102	C₂	semidirect
28. C₅₉×#3083	C₂	semidirect
29. C₅₉×#3081	C₂	semidirect
30. C₅₉×#3076	C₂	semidirect
31. C₅₉×#2994	C₂	semidirect
34. C₅₉×#557	C₂²	semidirect
38. C₅₉×#556	C₂²	semidirect
41. C₅₉×#554	C₂²	semidirect
45. C₅₉×#553	C₂²	semidirect
57. C₅₉×#544	C₂²	semidirect
62. C₅₉×#542	C₂²	semidirect
68. C₅₉×#533	C₂²	semidirect
72. C₅₉×#529	C₂²	semidirect
77. C₅₉×#501	C₂²	semidirect
78. C₅₉×#501	C₂²	semidirect
79. C₅₉×#499	C₂²	semidirect
80. C₅₉×#499	C₂²	semidirect
81. C₅₉×#499	C₂²	semidirect
82. C₅₉×#498	C₂²	semidirect
83. C₅₉×#491	C₂²	semidirect
88. C₅₉×#487	C₂²	semidirect
92. C₅₉×#485	C₂²	semidirect
93. C₅₉×#485	C₂²	semidirect
94. C₅₉×#485	C₂²	semidirect
95. C₅₉×#485	C₂²	semidirect
98. C₅₉×#483	C₂²	semidirect
99. C₅₉×#483	C₂²	semidirect
104. C₅₉×#482	C₂²	semidirect
106. C₅₉×#481	C₂²	semidirect
107. C₅₉×#479	C₂²	semidirect
108. C₅₉×#479	C₂²	semidirect
109. C₅₉×#479	C₂²	semidirect
110. C₅₉×#479	C₂²	semidirect
111. C₅₉×#479	C₂²	semidirect
112. C₅₉×#479	C₂²	semidirect
113. C₅₉×#479	C₂²	semidirect
121. C₅₉×#478	C₂²	semidirect
122. C₅₉×#478	C₂²	semidirect
123. C₅₉×#477	C₂²	semidirect
124. C₅₉×#477	C₂²	semidirect
125. C₅₉×#477	C₂²	semidirect
126. C₅₉×#477	C₂²	semidirect
130. C₅₉×#475	C₂²	semidirect
131. C₅₉×#475	C₂²	semidirect
136. C₅₉×#474	C₂²	semidirect
140. C₅₉×#468	C₂²	semidirect
142. C₅₉×#467	C₂²	semidirect
143. C₅₉×#467	C₂²	semidirect
148. C₅₉×#465	C₂²	semidirect
151. C₅₉×#464	C₂²	semidirect
152. C₅₉×#464	C₂²	semidirect
157. C₅₉×#462	C₂²	semidirect
158. C₅₉×#461	C₂²	semidirect
165. C₅₉×#446	C₂²	semidirect
166. C₈×Q₈×C₅₉	C₂²	semidirect
169. C₅₉×#441	C₂²	semidirect
171. C₄×Q₁₆×C₅₉	C₂²	semidirect
175. C₄×SD₁₆×C₅₉	C₂²	semidirect
176. C₄×SD₁₆×C₅₉	C₂²	semidirect
181. C₅₉×#435	C₂²	semidirect
184. C₈×D₄×C₅₉	C₂²	semidirect
186. C₅₉×#433	C₂²	semidirect
187. C₅₉×#431	C₂²	semidirect
189. C₅₉×#428	C₂²	semidirect
191. C₅₉×#427	C₂²	semidirect
192. C₅₉×#427	C₂²	semidirect
193. C₂×#107×C₅₉	C₂²	semidirect
195. C₅₉×#424	C₂²	semidirect
196. C₂×C₄⋊C₈×C₅₉	C₂²	semidirect
762. #62207	C₅₉	direct (N × H)
809. #3565	C₂×C₅₉	semidirect
810. #3521	C₂×C₅₉	semidirect
811. #3389	C₂×C₅₉	semidirect
812. #3381	C₂×C₅₉	semidirect
813. #3377	C₂×C₅₉	semidirect
814. #3360	C₂×C₅₉	semidirect
815. #3351	C₂×C₅₉	semidirect
816. #3350	C₂×C₅₉	semidirect
817. #3349	C₂×C₅₉	semidirect
818. #3340	C₂×C₅₉	semidirect
819. #3339	C₂×C₅₉	semidirect
820. #3336	C₂×C₅₉	semidirect
821. #3323	C₂×C₅₉	semidirect
822. #3319	C₂×C₅₉	semidirect
823. #3307	C₂×C₅₉	semidirect
824. #3302	C₂×C₅₉	semidirect
825. #3297	C₂×C₅₉	semidirect
826. #3296	C₂×C₅₉	semidirect
827. #3262	C₂×C₅₉	semidirect
828. #3258	C₂×C₅₉	semidirect
829. #3250	C₂×C₅₉	semidirect
830. #3244	C₂×C₅₉	semidirect
831. #3242	C₂×C₅₉	semidirect
832. #3233	C₂×C₅₉	semidirect
833. #3125	C₂×C₅₉	semidirect
834. #3118	C₂×C₅₉	semidirect
835. #3102	C₂×C₅₉	semidirect
836. #3083	C₂×C₅₉	semidirect
837. #3081	C₂×C₅₉	semidirect
838. #3076	C₂×C₅₉	semidirect
839. #2994	C₂×C₅₉	semidirect
851. #557	C₂²×C₅₉	semidirect
855. #556	C₂²×C₅₉	semidirect
858. #554	C₂²×C₅₉	semidirect
862. #553	C₂²×C₅₉	semidirect
874. #544	C₂²×C₅₉	semidirect
879. #542	C₂²×C₅₉	semidirect
885. #533	C₂²×C₅₉	semidirect
889. #529	C₂²×C₅₉	semidirect
894. #501	C₂²×C₅₉	semidirect
895. #501	C₂²×C₅₉	semidirect
896. #499	C₂²×C₅₉	semidirect
897. #499	C₂²×C₅₉	semidirect
898. #499	C₂²×C₅₉	semidirect
899. #498	C₂²×C₅₉	semidirect
900. #491	C₂²×C₅₉	semidirect
905. #487	C₂²×C₅₉	semidirect
909. #485	C₂²×C₅₉	semidirect
910. #485	C₂²×C₅₉	semidirect
911. #485	C₂²×C₅₉	semidirect
912. #485	C₂²×C₅₉	semidirect
915. #483	C₂²×C₅₉	semidirect
916. #483	C₂²×C₅₉	semidirect
921. #482	C₂²×C₅₉	semidirect
923. #481	C₂²×C₅₉	semidirect
924. #479	C₂²×C₅₉	semidirect
925. #479	C₂²×C₅₉	semidirect
926. #479	C₂²×C₅₉	semidirect
927. #479	C₂²×C₅₉	semidirect
928. #479	C₂²×C₅₉	semidirect
929. #479	C₂²×C₅₉	semidirect
930. #479	C₂²×C₅₉	semidirect
938. #478	C₂²×C₅₉	semidirect
939. #478	C₂²×C₅₉	semidirect
940. #477	C₂²×C₅₉	semidirect
941. #477	C₂²×C₅₉	semidirect
942. #477	C₂²×C₅₉	semidirect
943. #477	C₂²×C₅₉	semidirect
947. #475	C₂²×C₅₉	semidirect
948. #475	C₂²×C₅₉	semidirect
953. #474	C₂²×C₅₉	semidirect
957. #468	C₂²×C₅₉	semidirect
959. #467	C₂²×C₅₉	semidirect
960. #467	C₂²×C₅₉	semidirect
965. #465	C₂²×C₅₉	semidirect
968. #464	C₂²×C₅₉	semidirect
969. #464	C₂²×C₅₉	semidirect
974. #462	C₂²×C₅₉	semidirect
975. #461	C₂²×C₅₉	semidirect
982. #446	C₂²×C₅₉	semidirect
983. C₈×Q₈	C₂²×C₅₉	semidirect
986. #441	C₂²×C₅₉	semidirect
988. C₄×Q₁₆	C₂²×C₅₉	semidirect
992. C₄×SD₁₆	C₂²×C₅₉	semidirect
993. C₄×SD₁₆	C₂²×C₅₉	semidirect
998. #435	C₂²×C₅₉	semidirect
1001. C₈×D₄	C₂²×C₅₉	semidirect
1003. #433	C₂²×C₅₉	semidirect
1004. #431	C₂²×C₅₉	semidirect
1006. #428	C₂²×C₅₉	semidirect
1008. #427	C₂²×C₅₉	semidirect
1009. #427	C₂²×C₅₉	semidirect
1010. C₂×#107	C₂²×C₅₉	semidirect
1012. #424	C₂²×C₅₉	semidirect
1013. C₂×C₄⋊C₈	C₂²×C₅₉	semidirect
1020. C₅₉	#62207	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×#3565	2
C₅₉×#3521	2
C₅₉×#3389	2
C₅₉×#3381	2
C₅₉×#3377	2
C₅₉×#3360	2
C₅₉×#3351	2
C₅₉×#3350	2
C₅₉×#3349	2
C₅₉×#3340	2
C₅₉×#3339	2
C₅₉×#3336	2
C₅₉×#3323	2
C₅₉×#3319	2
C₅₉×#3307	2
C₅₉×#3302	2
C₅₉×#3297	2
C₅₉×#3296	2
C₅₉×#3262	2
C₅₉×#3258	2
C₅₉×#3250	2
C₅₉×#3244	2
C₅₉×#3242	2
C₅₉×#3233	2
C₅₉×#3125	2
C₅₉×#3118	2
C₅₉×#3102	2
C₅₉×#3083	2
C₅₉×#3081	2
C₅₉×#3076	2
C₅₉×#2994	2
#62207	59

Subgroups — C59×#62207 #28474316

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62207 #28474316