Subgroups — C₅₉×#62194 #28474303

Order 15104.

1738 conjugacy classes of subgroups.

The subgroup lattice has 1128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₉×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#3385	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₈×SD₁₆×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#3354	C₂	1	2	yes	maximal, complemented
9	C₅₉×#3345	C₂	1	2	yes	maximal, complemented
10	C₅₉×#3335	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₉×#3332	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₉×#3326	C₂	1	2	yes	maximal, complemented
13	C₅₉×#3321	C₂	1	2	yes	maximal, complemented
14	C₅₉×#3305	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#3257	C₂	1	2	yes	maximal, complemented
16	C₅₉×#3253	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#3244	C₂	1	2	yes	maximal, complemented
18	C₅₉×#3228	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₉×#3119	C₂	1	2	yes	maximal, complemented
20	C₅₉×#3103	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#3084	C₂	1	2	yes	maximal, complemented
22	C₅₉×#3078	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₉×#562	—	2	2	no	—
25	C₅₉×#559	—	2	1	no	—
26	C₅₉×#559	C₂²	1	1	yes	characteristic
27	Q₈²×C₅₉	C₂²	1	1	yes	characteristic
28	C₅₉×#555	C₂²	1	1	yes	characteristic
29	C₅₉×#555	C₂²	1	2	yes	—
30	C₅₉×#554	—	2	1	no	—
31	C₅₉×#554	C₂²	1	1	yes	characteristic
32	C₅₉×#554	C₂²	1	1	yes	characteristic
33	C₅₉×#553	C₂²	1	2	yes	—
34	C₅₉×#552	—	2	1	no	—
35	C₅₉×#550	C₂²	1	1	yes	characteristic
36	D₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
37	C₅₉×#548	—	2	1	no	—
38	C₅₉×#548	C₂²	1	2	yes	—
39	C₅₉×#547	—	2	2	no	—
40	C₅₉×#547	C₂²	1	2	yes	—
41	C₅₉×#547	C₂²	1	1	yes	characteristic
42	C₅₉×#544	C₂²	1	2	yes	—
43	C₅₉×#542	—	2	2	no	—
44	C₅₉×#542	—	2	2	no	—
45	C₅₉×#542	C₂²	1	2	yes	—
46	C₅₉×#540	C₂²	1	2	yes	—
47	C₅₉×#537	—	2	1	no	—
48	C₅₉×#536	—	2	1	no	—
49	C₅₉×#533	C₂²	1	1	yes	characteristic
50	C₅₉×#532	—	2	1	no	—
51	C₅₉×#532	C₂²	1	1	yes	characteristic
52	C₅₉×#532	C₂²	1	1	yes	characteristic
53	C₅₉×#529	—	2	1	no	—
54	C₅₉×#529	C₂²	1	1	yes	characteristic
55	C₅₉×#520	C₂²	1	2	yes	—
56	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
57	C₅₉×#501	C₂²	1	2	yes	—
58	C₅₉×#500	C₂²	1	1	yes	characteristic
59	C₅₉×#498	C₂²	1	1	yes	characteristic
60	C₅₉×#498	C₂²	1	2	yes	—
61	C₅₉×#489	C₂²	1	2	yes	—
62	C₅₉×#488	C₂²	1	2	yes	—
63	C₅₉×#486	C₂²	1	1	yes	characteristic
64	C₅₉×#486	C₂²	1	1	yes	characteristic
65	C₅₉×#485	C₂²	1	2	yes	—
66	C₅₉×#483	C₂²	1	2	yes	—
67	C₅₉×#482	C₂²	1	2	yes	—
68	C₅₉×#482	C₂²	1	2	yes	—
69	C₅₉×#482	C₂²	1	2	yes	—
70	C₅₉×#481	C₂²	1	2	yes	—
71	C₅₉×#481	C₂²	1	2	yes	—
72	C₅₉×#481	C₂²	1	1	yes	characteristic
73	C₅₉×#481	C₂²	1	1	yes	characteristic
74	C₅₉×#480	C₂²	1	2	yes	—
75	C₅₉×#479	C₂²	1	2	yes	—
76	C₅₉×#479	C₂²	1	2	yes	—
77	C₅₉×#479	C₂²	1	2	yes	—
78	C₅₉×#478	C₂²	1	2	yes	—
79	C₅₉×#478	C₂²	1	2	yes	—
80	C₅₉×#478	C₂²	1	2	yes	—
81	C₅₉×#477	C₂²	1	1	yes	characteristic
82	C₅₉×#477	C₂²	1	1	yes	characteristic
83	C₅₉×#476	C₂²	1	1	yes	characteristic
84	C₅₉×#476	C₂²	1	2	yes	—
85	C₅₉×#476	C₂²	1	1	yes	characteristic
86	C₅₉×#476	C₂²	1	2	yes	—
87	C₅₉×#476	C₂²	1	2	yes	—
88	C₅₉×#475	C₂²	1	2	yes	—
89	C₅₉×#475	C₂²	1	1	yes	characteristic
90	C₅₉×#475	C₂²	1	1	yes	characteristic
91	C₅₉×#475	C₂²	1	1	yes	characteristic
92	C₅₉×#475	C₂²	1	1	yes	characteristic
93	C₅₉×#474	C₂²	1	2	yes	—
94	C₅₉×#469	C₂²	1	2	yes	—
95	C₅₉×#469	C₂²	1	2	yes	—
96	C₅₉×#469	C₂²	1	2	yes	—
97	C₅₉×#468	C₂²	1	2	yes	—
98	C₅₉×#466	C₂²	1	2	yes	—
99	C₅₉×#465	C₂²	1	2	yes	—
100	C₅₉×#463	C₂²	1	2	yes	—
101	C₅₉×#463	C₂²	1	2	yes	—
102	C₅₉×#460	C₂²	1	1	yes	characteristic
103	C₅₉×#460	C₂²	1	1	yes	characteristic
104	C₅₉×#459	C₂²	1	2	yes	—
105	C₅₉×#459	C₂²	1	1	yes	characteristic
106	C₅₉×#459	C₂²	1	1	yes	characteristic
107	C₅₉×#449	C₂²	1	2	yes	—
108	C₅₉×#449	C₂²	1	2	yes	—
109	C₅₉×#448	C₂²	1	1	yes	characteristic
110	C₅₉×#448	C₂²	1	1	yes	characteristic
111	C₅₉×#446	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₅₉	C₂²	1	1	yes	characteristic
113	C₅₉×#442	C₂²	1	2	yes	—
114	C₅₉×#440	C₂²	1	2	yes	—
115	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
116	C₄×SD₁₆×C₅₉	C₂²	1	2	yes	—
117	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₅₉	C₂²	1	1	yes	characteristic
120	C₄×D₈×C₅₉	C₂²	1	2	yes	—
121	C₅₉×#436	C₂²	1	2	yes	—
122	C₅₉×#436	C₂²	1	1	yes	characteristic
123	C₅₉×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₅₉	C₂²	1	1	yes	characteristic
125	C₅₉×#433	C₂²	1	2	yes	—
126	C₅₉×#431	C₂²	1	1	yes	characteristic
127	C₅₉×#428	C₂²	1	2	yes	—
128	C₅₉×#428	C₂²	1	2	yes	—
129	C₂×#106×C₅₉	C₂²	1	2	yes	—
130	C₅₉×#424	C₂²	1	2	yes	—
131	C₅₉×#423	C₂²	1	1	yes	characteristic
132	C₅₉×#419	C₂²	1	2	yes	—
133	C₅₉×#417	C₂²	1	2	yes	—
134	C₅₉×#416	C₂²	1	2	yes	—
135	C₂×#41×C₅₉	—	2	2	no	—
136	C₂×#41×C₅₉	—	2	1	no	—
137	C₂×#41×C₅₉	—	2	1	no	—
138	C₂×#41×C₅₉	—	2	1	no	—
139	C₂×#41×C₅₉	C₂³	1	2	yes	—
140	C₂²×Q₈×C₅₉	—	2	1	no	—
141	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
142	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
143	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₅₉	C₂³	1	1	yes	characteristic
146	C₂×D₈×C₅₉	C₂³	1	2	yes	—
147	C₂×D₈×C₅₉	C₂³	1	2	yes	—
148	C₂×M₁₆×C₅₉	C₂³	1	2	yes	—
149	C₂×M₁₆×C₅₉	C₂³	1	2	yes	—
150	C₂²×C₈×C₅₉	C₂³	1	2	yes	—
151	C₄⋊Q₈×C₅₉	—	2	1	no	—
152	C₄⋊Q₈×C₅₉	—	2	2	no	—
153	C₄⋊Q₈×C₅₉	—	2	2	no	—
154	C₄⋊Q₈×C₅₉	C₂³	1	2	yes	—
155	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
156	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
157	C₄⋊Q₈×C₅₉	C₂³	1	2	yes	—
158	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
159	C₄⋊Q₈×C₅₉	C₂³	1	1	yes	characteristic
160	#127×C₅₉	—	2	1	no	—
161	#127×C₅₉	C₂³	1	1	yes	characteristic
162	#127×C₅₉	C₂³	1	1	yes	characteristic
163	#126×C₅₉	—	2	2	no	—
164	#126×C₅₉	—	2	2	no	—
165	#126×C₅₉	D₄	1	2	yes	—
166	#125×C₅₉	—	2	1	no	—
167	#125×C₅₉	—	2	2	no	—
168	#125×C₅₉	D₄	1	1	yes	characteristic
169	#125×C₅₉	C₂³	1	2	yes	—
170	#125×C₅₉	C₂³	1	2	yes	—
171	#124×C₅₉	—	2	1	no	—
172	#124×C₅₉	—	2	2	no	—
173	#124×C₅₉	—	2	2	no	—
174	#124×C₅₉	—	2	2	no	—
175	#124×C₅₉	—	2	2	no	—
176	#124×C₅₉	—	2	2	no	—
177	#124×C₅₉	—	2	1	no	—
178	#124×C₅₉	—	2	1	no	—
179	#124×C₅₉	D₄	1	1	yes	characteristic
180	#124×C₅₉	C₂³	1	2	yes	—
181	#123×C₅₉	—	2	2	no	—
182	#123×C₅₉	—	2	2	no	—
183	#123×C₅₉	—	2	2	no	—
184	#123×C₅₉	—	2	2	no	—
185	#123×C₅₉	—	2	2	no	—
186	#123×C₅₉	—	2	2	no	—
187	#123×C₅₉	—	2	2	no	—
188	#123×C₅₉	—	2	2	no	—
189	#123×C₅₉	D₄	1	2	yes	—
190	C₂²⋊Q₈×C₅₉	—	2	1	no	—
191	C₂²⋊Q₈×C₅₉	—	2	1	no	—
192	C₂²⋊Q₈×C₅₉	—	2	1	no	—
193	C₂²⋊Q₈×C₅₉	—	2	1	no	—
194	C₂²⋊Q₈×C₅₉	—	2	1	no	—
195	C₂²⋊Q₈×C₅₉	—	2	2	no	—
196	C₂²⋊Q₈×C₅₉	—	2	2	no	—
197	C₂²⋊Q₈×C₅₉	—	2	2	no	—
198	C₂²⋊Q₈×C₅₉	—	2	2	no	—
199	C₂²⋊Q₈×C₅₉	—	2	2	no	—
200	C₂²⋊Q₈×C₅₉	—	2	2	no	—
201	C₂²⋊Q₈×C₅₉	—	2	2	no	—
202	C₂²⋊Q₈×C₅₉	—	2	2	no	—
203	C₂²⋊Q₈×C₅₉	D₄	1	1	yes	characteristic
204	C₂²⋊Q₈×C₅₉	C₂³	1	2	yes	—
205	#121×C₅₉	—	2	2	no	—
206	#121×C₅₉	—	2	1	no	—
207	#121×C₅₉	—	2	2	no	—
208	#121×C₅₉	—	2	2	no	—
209	#121×C₅₉	—	2	1	no	—
210	#121×C₅₉	—	2	1	no	—
211	#121×C₅₉	—	2	2	no	—
212	#121×C₅₉	—	2	2	no	—
213	#121×C₅₉	—	2	2	no	—
214	#121×C₅₉	D₄	1	1	yes	characteristic
215	#121×C₅₉	C₂³	1	1	yes	characteristic
216	#121×C₅₉	C₂³	1	1	yes	characteristic
217	#121×C₅₉	C₂³	1	2	yes	—
218	#121×C₅₉	C₂³	1	2	yes	—
219	#121×C₅₉	C₂³	1	2	yes	—
220	#121×C₅₉	C₂³	1	2	yes	—
221	C₄×Q₈×C₅₉	—	2	1	no	—
222	C₄×Q₈×C₅₉	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₅₉	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₅₉	C₂³	1	2	yes	—
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	C₄×D₄×C₅₉	—	2	1	no	—
233	C₄×D₄×C₅₉	—	2	1	no	—
234	C₄×D₄×C₅₉	—	2	1	no	—
235	C₄×D₄×C₅₉	—	2	2	no	—
236	C₄×D₄×C₅₉	—	2	2	no	—
237	C₄×D₄×C₅₉	—	2	2	no	—
238	C₄×D₄×C₅₉	—	2	2	no	—
239	C₄×D₄×C₅₉	—	2	1	no	—
240	C₄×D₄×C₅₉	—	2	1	no	—
241	C₄×D₄×C₅₉	C₂³	1	2	yes	—
242	C₄×D₄×C₅₉	C₂³	1	2	yes	—
243	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₅₉	C₂³	1	2	yes	—
246	C₄×D₄×C₅₉	C₂³	1	2	yes	—
247	C₄×D₄×C₅₉	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₅₉	C₂³	1	2	yes	—
249	#117×C₅₉	—	2	2	no	—
250	#117×C₅₉	—	2	1	no	—
251	#117×C₅₉	—	2	2	no	—
252	#117×C₅₉	C₂³	1	2	yes	—
253	#117×C₅₉	C₂³	1	2	yes	—
254	#117×C₅₉	C₂³	1	2	yes	—
255	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
256	C₂×C₄⋊C₄×C₅₉	—	2	2	no	—
257	C₂×C₄⋊C₄×C₅₉	—	2	1	no	—
258	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
259	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
261	C₂×C₄²×C₅₉	—	2	1	no	—
262	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
263	#107×C₅₉	C₂³	1	2	yes	—
264	#107×C₅₉	C₂³	1	2	yes	—
265	#107×C₅₉	C₂³	1	2	yes	—
266	#107×C₅₉	C₂³	1	2	yes	—
267	#106×C₅₉	C₂³	1	1	yes	characteristic
268	#106×C₅₉	C₂³	1	2	yes	—
269	#106×C₅₉	C₂³	1	2	yes	—
270	#106×C₅₉	C₂³	1	2	yes	—
271	#106×C₅₉	C₂³	1	1	yes	characteristic
272	#106×C₅₉	C₂³	1	2	yes	—
273	#106×C₅₉	C₂³	1	2	yes	—
274	#106×C₅₉	C₂³	1	1	yes	characteristic
275	#106×C₅₉	C₂³	1	1	yes	characteristic
276	#106×C₅₉	C₂³	1	2	yes	—
277	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
278	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
279	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
280	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
282	C₄⋊C₈×C₅₉	C₂³	1	2	yes	—
283	C₄⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
284	#103×C₅₉	C₂³	1	1	yes	characteristic
285	#103×C₅₉	C₂³	1	2	yes	—
286	#103×C₅₉	C₂³	1	1	yes	characteristic
287	#103×C₅₉	C₂³	1	2	yes	—
288	#103×C₅₉	C₂³	1	2	yes	—
289	#103×C₅₉	C₂³	1	2	yes	—
290	#103×C₅₉	C₂³	1	1	yes	characteristic
291	#103×C₅₉	C₂³	1	1	yes	characteristic
292	#102×C₅₉	C₂³	1	2	yes	—
293	#102×C₅₉	C₂³	1	2	yes	—
294	#102×C₅₉	C₂³	1	2	yes	—
295	#102×C₅₉	C₂³	1	2	yes	—
296	#102×C₅₉	C₂³	1	1	yes	characteristic
297	#102×C₅₉	C₂³	1	2	yes	—
298	#102×C₅₉	C₂³	1	1	yes	characteristic
299	#102×C₅₉	C₂³	1	2	yes	—
300	#102×C₅₉	C₂³	1	1	yes	characteristic
301	#102×C₅₉	C₂³	1	1	yes	characteristic
302	#102×C₅₉	C₂³	1	2	yes	—
303	#102×C₅₉	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
305	C₂²⋊C₈×C₅₉	C₂³	1	1	yes	characteristic
306	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
307	C₂²⋊C₈×C₅₉	C₂³	1	2	yes	—
308	#97×C₅₉	C₂³	1	2	yes	—
309	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₅₉	C₂³	1	2	yes	—
312	#41×C₅₉	—	2	4	no	—
313	#41×C₅₉	—	4	2	no	—
314	#41×C₅₉	—	8	2	no	—
315	#41×C₅₉	—	8	2	no	—
316	#41×C₅₉	—	8	2	no	—
317	#41×C₅₉	—	8	4	no	—
318	C₂×Q₈×C₅₉	—	2	1	no	—
319	C₂×Q₈×C₅₉	—	2	1	no	—
320	C₂×Q₈×C₅₉	—	2	1	no	—
321	C₂×Q₈×C₅₉	—	2	2	no	—
322	C₂×Q₈×C₅₉	—	2	1	no	—
323	C₂×Q₈×C₅₉	—	2	2	no	—
324	C₂×Q₈×C₅₉	—	2	1	no	—
325	C₂×Q₈×C₅₉	—	2	2	no	—
326	C₂×Q₈×C₅₉	—	4	1	no	—
327	C₂×Q₈×C₅₉	—	8	2	no	—
328	C₂×Q₈×C₅₉	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₅₉	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₅₉	—	2	2	no	—
332	C₂×D₄×C₅₉	—	2	2	no	—
333	C₂×D₄×C₅₉	—	2	2	no	—
334	C₂×D₄×C₅₉	—	2	1	no	—
335	C₂×D₄×C₅₉	—	2	2	no	—
336	C₂×D₄×C₅₉	—	2	1	no	—
337	C₂×D₄×C₅₉	—	2	2	no	—
338	C₂×D₄×C₅₉	—	2	1	no	—
339	C₂×D₄×C₅₉	—	2	1	no	—
340	C₂×D₄×C₅₉	—	2	1	no	—
341	C₂×D₄×C₅₉	—	2	1	no	—
342	C₂×D₄×C₅₉	C₂×D₄	1	1	yes	characteristic
343	C₂×D₄×C₅₉	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₅₉	C₂⁴	1	2	yes	—
345	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₅₉	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₅₉	—	2	1	no	—
348	C₂²×C₄×C₅₉	—	2	1	no	—
349	C₂²×C₄×C₅₉	—	2	2	no	—
350	C₂²×C₄×C₅₉	—	2	2	no	—
351	C₂²×C₄×C₅₉	—	2	2	no	—
352	C₂²×C₄×C₅₉	—	2	1	no	—
353	C₂²×C₄×C₅₉	—	2	1	no	—
354	C₂²×C₄×C₅₉	—	2	2	no	—
355	C₂²×C₄×C₅₉	—	2	2	no	—
356	C₂²×C₄×C₅₉	—	2	2	no	—
357	C₂²×C₄×C₅₉	—	2	2	no	—
358	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
359	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
362	SD₁₆×C₅₉	—	2	2	no	—
363	SD₁₆×C₅₉	—	2	2	no	—
364	SD₁₆×C₅₉	—	4	1	no	—
365	SD₁₆×C₅₉	—	4	1	no	—
366	D₈×C₅₉	—	4	2	no	—
367	D₈×C₅₉	—	4	2	no	—
368	M₁₆×C₅₉	—	4	2	no	—
369	M₁₆×C₅₉	—	4	2	no	—
370	C₂×C₈×C₅₉	—	4	2	no	—
371	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₅₉	C₂⁴	1	2	yes	—
376	C₂×C₈×C₅₉	C₂⁴	1	2	yes	—
377	C₄⋊C₄×C₅₉	—	2	1	no	—
378	C₄⋊C₄×C₅₉	—	2	2	no	—
379	C₄⋊C₄×C₅₉	—	2	1	no	—
380	C₄⋊C₄×C₅₉	—	2	2	no	—
381	C₄⋊C₄×C₅₉	—	2	1	no	—
382	C₄⋊C₄×C₅₉	—	2	1	no	—
383	C₄⋊C₄×C₅₉	—	2	1	no	—
384	C₄⋊C₄×C₅₉	—	2	2	no	—
385	C₄⋊C₄×C₅₉	—	2	1	no	—
386	C₄⋊C₄×C₅₉	—	2	2	no	—
387	C₄⋊C₄×C₅₉	—	2	2	no	—
388	C₄⋊C₄×C₅₉	—	2	1	no	—
389	C₄⋊C₄×C₅₉	—	2	1	no	—
390	C₄⋊C₄×C₅₉	—	2	2	no	—
391	C₄⋊C₄×C₅₉	—	2	2	no	—
392	C₄⋊C₄×C₅₉	—	2	2	no	—
393	C₄⋊C₄×C₅₉	—	2	2	no	—
394	C₄⋊C₄×C₅₉	—	2	1	no	—
395	C₄⋊C₄×C₅₉	—	2	2	no	—
396	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
398	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
399	C₄⋊C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
401	C₄⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
404	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
406	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₅₉	C₂⁴	1	2	yes	—
408	C₄⋊C₄×C₅₉	C₂⁴	1	1	yes	characteristic
409	C₂²⋊C₄×C₅₉	—	2	2	no	—
410	C₂²⋊C₄×C₅₉	—	2	2	no	—
411	C₂²⋊C₄×C₅₉	—	2	2	no	—
412	C₂²⋊C₄×C₅₉	—	2	1	no	—
413	C₂²⋊C₄×C₅₉	—	2	2	no	—
414	C₂²⋊C₄×C₅₉	—	2	2	no	—
415	C₂²⋊C₄×C₅₉	—	2	2	no	—
416	C₂²⋊C₄×C₅₉	—	2	2	no	—
417	C₂²⋊C₄×C₅₉	—	2	1	no	—
418	C₂²⋊C₄×C₅₉	—	2	2	no	—
419	C₂²⋊C₄×C₅₉	—	2	2	no	—
420	C₂²⋊C₄×C₅₉	—	2	2	no	—
421	C₂²⋊C₄×C₅₉	—	2	2	no	—
422	C₂²⋊C₄×C₅₉	—	2	2	no	—
423	C₂²⋊C₄×C₅₉	—	2	1	no	—
424	C₂²⋊C₄×C₅₉	—	2	2	no	—
425	C₂²⋊C₄×C₅₉	—	2	1	no	—
426	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
427	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
428	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
429	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₅₉	C₂×D₄	1	2	yes	—
431	C₄²×C₅₉	—	2	1	no	—
432	C₄²×C₅₉	—	2	1	no	—
433	C₄²×C₅₉	—	2	1	no	—
434	C₄²×C₅₉	—	2	1	no	—
435	C₄²×C₅₉	—	2	2	no	—
436	C₄²×C₅₉	—	2	2	no	—
437	C₄²×C₅₉	—	2	2	no	—
438	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
439	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
440	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
441	C₄²×C₅₉	C₂⁴	1	2	yes	—
442	C₄²×C₅₉	C₂⁴	1	1	yes	characteristic
443	C₂³×C₅₉	—	2	2	no	—
444	C₂³×C₅₉	—	2	1	no	—
445	C₂³×C₅₉	—	2	1	no	—
446	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
447	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
448	Q₈×C₅₉	—	2	2	no	—
449	Q₈×C₅₉	—	2	1	no	—
450	Q₈×C₅₉	—	2	1	no	—
451	Q₈×C₅₉	—	2	1	no	—
452	Q₈×C₅₉	—	4	2	no	—
453	Q₈×C₅₉	—	4	2	no	—
454	Q₈×C₅₉	—	8	1	no	—
455	Q₈×C₅₉	—	8	2	no	—
456	Q₈×C₅₉	—	8	1	no	—
457	Q₈×C₅₉	—	8	2	no	—
458	Q₈×C₅₉	—	8	1	no	—
459	Q₈×C₅₉	2₋¹⁺⁴	1	2	yes	—
460	D₄×C₅₉	—	2	2	no	—
461	D₄×C₅₉	—	2	1	no	—
462	D₄×C₅₉	—	2	1	no	—
463	D₄×C₅₉	—	2	2	no	—
464	D₄×C₅₉	—	2	1	no	—
465	D₄×C₅₉	—	2	1	no	—
466	D₄×C₅₉	—	2	2	no	—
467	D₄×C₅₉	—	4	2	no	—
468	D₄×C₅₉	—	4	4	no	—
469	D₄×C₅₉	—	4	4	no	—
470	D₄×C₅₉	—	4	2	no	—
471	D₄×C₅₉	—	8	1	no	—
472	D₄×C₅₉	—	8	1	no	—
473	D₄×C₅₉	—	8	1	no	—
474	D₄×C₅₉	—	8	2	no	—
475	D₄×C₅₉	—	8	2	no	—
476	D₄×C₅₉	—	8	1	no	—
477	D₄×C₅₉	—	8	1	no	—
478	D₄×C₅₉	—	8	2	no	—
479	C₂×C₄×C₅₉	—	2	1	no	—
480	C₂×C₄×C₅₉	—	2	2	no	—
481	C₂×C₄×C₅₉	—	2	1	no	—
482	C₂×C₄×C₅₉	—	2	2	no	—
483	C₂×C₄×C₅₉	—	2	2	no	—
484	C₂×C₄×C₅₉	—	2	1	no	—
485	C₂×C₄×C₅₉	—	2	1	no	—
486	C₂×C₄×C₅₉	—	2	2	no	—
487	C₂×C₄×C₅₉	—	2	1	no	—
488	C₂×C₄×C₅₉	—	2	1	no	—
489	C₂×C₄×C₅₉	—	2	1	no	—
490	C₂×C₄×C₅₉	—	2	2	no	—
491	C₂×C₄×C₅₉	—	2	2	no	—
492	C₂×C₄×C₅₉	—	2	1	no	—
493	C₂×C₄×C₅₉	—	4	1	no	—
494	C₂×C₄×C₅₉	—	4	4	no	—
495	C₂×C₄×C₅₉	—	4	2	no	—
496	C₂×C₄×C₅₉	—	4	2	no	—
497	C₂×C₄×C₅₉	—	4	2	no	—
498	C₂×C₄×C₅₉	—	4	2	no	—
499	C₂×C₄×C₅₉	—	8	2	no	—
500	C₂×C₄×C₅₉	—	8	2	no	—
501	C₂×C₄×C₅₉	—	8	2	no	—
502	C₂×C₄×C₅₉	—	8	2	no	—
503	C₂×C₄×C₅₉	—	8	2	no	—
504	C₂×C₄×C₅₉	—	8	2	no	—
505	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
512	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₅₉	C₂⁵	1	1	yes	characteristic
514	C₈×C₅₉	—	2	1	no	—
515	C₈×C₅₉	—	2	1	no	—
516	C₈×C₅₉	—	2	1	no	—
517	C₈×C₅₉	—	2	2	no	—
518	C₈×C₅₉	—	2	2	no	—
519	C₈×C₅₉	—	2	1	no	—
520	#62194	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
521	C₂²×C₅₉	—	2	1	no	—
522	C₂²×C₅₉	—	2	2	no	—
523	C₂²×C₅₉	—	2	1	no	—
524	C₂²×C₅₉	—	2	2	no	—
525	C₂²×C₅₉	—	2	1	no	—
526	C₂²×C₅₉	—	2	2	no	—
527	C₂²×C₅₉	—	4	2	no	—
528	C₂²×C₅₉	—	4	1	no	—
529	C₂²×C₅₉	—	4	1	no	—
530	C₂²×C₅₉	—	4	2	no	—
531	C₂²×C₅₉	—	4	1	no	—
532	C₂²×C₅₉	—	4	1	no	—
533	C₂²×C₅₉	—	4	1	no	—
534	C₂²×C₅₉	—	4	1	no	—
535	C₂²×C₅₉	—	4	2	no	—
536	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
537	C₄×C₅₉	—	2	1	no	—
538	C₄×C₅₉	—	2	1	no	—
539	C₄×C₅₉	—	2	2	no	—
540	C₄×C₅₉	—	2	2	no	—
541	C₄×C₅₉	—	2	1	no	—
542	C₄×C₅₉	—	2	2	no	—
543	C₄×C₅₉	—	2	1	no	—
544	C₄×C₅₉	—	2	2	no	—
545	C₄×C₅₉	—	4	1	no	—
546	C₄×C₅₉	—	4	1	no	—
547	C₄×C₅₉	—	4	2	no	—
548	C₄×C₅₉	—	4	2	no	—
549	C₄×C₅₉	—	4	1	no	—
550	C₄×C₅₉	—	4	1	no	—
551	C₄×C₅₉	—	4	1	no	—
552	C₄×C₅₉	—	4	2	no	—
553	C₄×C₅₉	#577	1	2	yes	—
554	C₄×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
555	C₄×C₅₉	#585	1	1	yes	characteristic
556	#3547	C₂×C₅₉	1	1	yes	characteristic, complemented
557	#3522	C₂×C₅₉	1	1	yes	characteristic, complemented
558	#3385	C₂×C₅₉	1	1	yes	characteristic, complemented
559	Q₈×SD₁₆	C₂×C₅₉	1	1	yes	characteristic, complemented
560	#3373	C₂×C₅₉	1	1	yes	characteristic, complemented
561	#3361	C₂×C₅₉	1	1	yes	characteristic, complemented
562	#3357	C₂×C₅₉	1	1	yes	characteristic, complemented
563	#3354	C₂×C₅₉	1	2	yes	complemented
564	#3345	C₂×C₅₉	1	2	yes	complemented
565	#3335	C₂×C₅₉	1	1	yes	characteristic, complemented
566	#3332	C₂×C₅₉	1	1	yes	characteristic, complemented
567	#3326	C₂×C₅₉	1	2	yes	complemented
568	#3321	C₂×C₅₉	1	2	yes	complemented
569	#3305	C₂×C₅₉	1	1	yes	characteristic, complemented
570	#3257	C₂×C₅₉	1	2	yes	complemented
571	#3253	C₂×C₅₉	1	1	yes	characteristic, complemented
572	#3244	C₂×C₅₉	1	2	yes	complemented
573	#3228	C₂×C₅₉	1	1	yes	characteristic, complemented
574	#3119	C₂×C₅₉	1	2	yes	complemented
575	#3103	C₂×C₅₉	1	1	yes	characteristic, complemented
576	#3084	C₂×C₅₉	1	2	yes	complemented
577	#3078	C₂×C₅₉	1	1	yes	characteristic, complemented
578	#2993	C₂×C₅₉	1	1	yes	characteristic, complemented
579	C₂×C₅₉	—	4	1	no	—
580	C₂×C₅₉	—	4	2	no	—
581	C₂×C₅₉	—	8	2	no	—
582	C₂×C₅₉	—	8	1	no	—
583	C₂×C₅₉	—	8	1	no	—
584	C₂×C₅₉	#3489	1	1	yes	characteristic
585	C₂×C₅₉	C₂×#577	1	1	yes	characteristic
586	C₂×C₅₉	#3585	1	1	yes	characteristic
587	#562	—	2	2	no	—
588	#559	—	2	1	no	—
589	#559	C₂²×C₅₉	1	1	yes	characteristic
590	Q₈²	C₂²×C₅₉	1	1	yes	characteristic
591	#555	C₂²×C₅₉	1	2	yes	—
592	#555	C₂²×C₅₉	1	1	yes	characteristic
593	#554	—	2	1	no	—
594	#554	C₂²×C₅₉	1	1	yes	characteristic
595	#554	C₂²×C₅₉	1	1	yes	characteristic
596	#553	C₂²×C₅₉	1	2	yes	—
597	#552	—	2	1	no	—
598	#550	C₂²×C₅₉	1	1	yes	characteristic
599	D₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
600	#548	—	2	1	no	—
601	#548	C₂²×C₅₉	1	2	yes	—
602	#547	—	2	2	no	—
603	#547	C₂²×C₅₉	1	1	yes	characteristic
604	#547	C₂²×C₅₉	1	2	yes	—
605	#544	C₂²×C₅₉	1	2	yes	—
606	#542	—	2	2	no	—
607	#542	—	2	2	no	—
608	#542	C₂²×C₅₉	1	2	yes	—
609	#540	C₂²×C₅₉	1	2	yes	—
610	#537	—	2	1	no	—
611	#536	—	2	1	no	—
612	#533	C₂²×C₅₉	1	1	yes	characteristic
613	#532	—	2	1	no	—
614	#532	C₂²×C₅₉	1	1	yes	characteristic
615	#532	C₂²×C₅₉	1	1	yes	characteristic
616	#529	—	2	1	no	—
617	#529	C₂²×C₅₉	1	1	yes	characteristic
618	#520	C₂²×C₅₉	1	2	yes	—
619	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
620	#501	C₂²×C₅₉	1	2	yes	—
621	#500	C₂²×C₅₉	1	1	yes	characteristic
622	#498	C₂²×C₅₉	1	1	yes	characteristic
623	#498	C₂²×C₅₉	1	2	yes	—
624	#489	C₂²×C₅₉	1	2	yes	—
625	#488	C₂²×C₅₉	1	2	yes	—
626	#486	C₂²×C₅₉	1	1	yes	characteristic
627	#486	C₂²×C₅₉	1	1	yes	characteristic
628	#485	C₂²×C₅₉	1	2	yes	—
629	#483	C₂²×C₅₉	1	2	yes	—
630	#482	C₂²×C₅₉	1	2	yes	—
631	#482	C₂²×C₅₉	1	2	yes	—
632	#482	C₂²×C₅₉	1	2	yes	—
633	#481	C₂²×C₅₉	1	2	yes	—
634	#481	C₂²×C₅₉	1	2	yes	—
635	#481	C₂²×C₅₉	1	1	yes	characteristic
636	#481	C₂²×C₅₉	1	1	yes	characteristic
637	#480	C₂²×C₅₉	1	2	yes	—
638	#479	C₂²×C₅₉	1	2	yes	—
639	#479	C₂²×C₅₉	1	2	yes	—
640	#479	C₂²×C₅₉	1	2	yes	—
641	#478	C₂²×C₅₉	1	2	yes	—
642	#478	C₂²×C₅₉	1	2	yes	—
643	#478	C₂²×C₅₉	1	2	yes	—
644	#477	C₂²×C₅₉	1	1	yes	characteristic
645	#477	C₂²×C₅₉	1	1	yes	characteristic
646	#476	C₂²×C₅₉	1	1	yes	characteristic
647	#476	C₂²×C₅₉	1	2	yes	—
648	#476	C₂²×C₅₉	1	2	yes	—
649	#476	C₂²×C₅₉	1	2	yes	—
650	#476	C₂²×C₅₉	1	1	yes	characteristic
651	#475	C₂²×C₅₉	1	1	yes	characteristic
652	#475	C₂²×C₅₉	1	1	yes	characteristic
653	#475	C₂²×C₅₉	1	1	yes	characteristic
654	#475	C₂²×C₅₉	1	2	yes	—
655	#475	C₂²×C₅₉	1	1	yes	characteristic
656	#474	C₂²×C₅₉	1	2	yes	—
657	#469	C₂²×C₅₉	1	2	yes	—
658	#469	C₂²×C₅₉	1	2	yes	—
659	#469	C₂²×C₅₉	1	2	yes	—
660	#468	C₂²×C₅₉	1	2	yes	—
661	#466	C₂²×C₅₉	1	2	yes	—
662	#465	C₂²×C₅₉	1	2	yes	—
663	#463	C₂²×C₅₉	1	2	yes	—
664	#463	C₂²×C₅₉	1	2	yes	—
665	#460	C₂²×C₅₉	1	1	yes	characteristic
666	#460	C₂²×C₅₉	1	1	yes	characteristic
667	#459	C₂²×C₅₉	1	1	yes	characteristic
668	#459	C₂²×C₅₉	1	1	yes	characteristic
669	#459	C₂²×C₅₉	1	2	yes	—
670	#449	C₂²×C₅₉	1	2	yes	—
671	#449	C₂²×C₅₉	1	2	yes	—
672	#448	C₂²×C₅₉	1	1	yes	characteristic
673	#448	C₂²×C₅₉	1	1	yes	characteristic
674	#446	C₂²×C₅₉	1	1	yes	characteristic
675	C₈×Q₈	C₂²×C₅₉	1	1	yes	characteristic
676	#442	C₂²×C₅₉	1	2	yes	—
677	#440	C₂²×C₅₉	1	2	yes	—
678	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
679	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
680	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
681	C₄×SD₁₆	C₂²×C₅₉	1	1	yes	characteristic
682	C₄×SD₁₆	C₂²×C₅₉	1	2	yes	—
683	C₄×D₈	C₂²×C₅₉	1	2	yes	—
684	#436	C₂²×C₅₉	1	1	yes	characteristic
685	#436	C₂²×C₅₉	1	2	yes	—
686	#435	C₂²×C₅₉	1	2	yes	—
687	C₈×D₄	C₂²×C₅₉	1	1	yes	characteristic
688	#433	C₂²×C₅₉	1	2	yes	—
689	#431	C₂²×C₅₉	1	1	yes	characteristic
690	#428	C₂²×C₅₉	1	2	yes	—
691	#428	C₂²×C₅₉	1	2	yes	—
692	C₂×#106	C₂²×C₅₉	1	2	yes	—
693	#424	C₂²×C₅₉	1	2	yes	—
694	#423	C₂²×C₅₉	1	1	yes	characteristic
695	#419	C₂²×C₅₉	1	2	yes	—
696	#417	C₂²×C₅₉	1	2	yes	—
697	#416	C₂²×C₅₉	1	2	yes	—
698	C₅₉	#62194	1	1	yes	characteristic, direct product factor, Sylow
699	C₂×#41	—	2	2	no	—
700	C₂×#41	—	2	1	no	—
701	C₂×#41	—	2	1	no	—
702	C₂×#41	—	2	1	no	—
703	C₂×#41	C₂³×C₅₉	1	2	yes	—
704	C₂²×Q₈	—	2	1	no	—
705	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
707	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
708	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
709	C₂×SD₁₆	C₂³×C₅₉	1	1	yes	characteristic
710	C₂×D₈	C₂³×C₅₉	1	2	yes	—
711	C₂×D₈	C₂³×C₅₉	1	2	yes	—
712	C₂×M₁₆	C₂³×C₅₉	1	2	yes	—
713	C₂×M₁₆	C₂³×C₅₉	1	2	yes	—
714	C₂²×C₈	C₂³×C₅₉	1	2	yes	—
715	C₄⋊Q₈	—	2	1	no	—
716	C₄⋊Q₈	—	2	2	no	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₅₉	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₅₉	1	2	yes	—
723	C₄⋊Q₈	C₂³×C₅₉	1	2	yes	—
724	#127	—	2	1	no	—
725	#127	C₂³×C₅₉	1	1	yes	characteristic
726	#127	C₂³×C₅₉	1	1	yes	characteristic
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	D₄×C₅₉	1	2	yes	—
730	#125	—	2	1	no	—
731	#125	—	2	2	no	—
732	#125	D₄×C₅₉	1	1	yes	characteristic
733	#125	C₂³×C₅₉	1	2	yes	—
734	#125	C₂³×C₅₉	1	2	yes	—
735	#124	—	2	1	no	—
736	#124	—	2	2	no	—
737	#124	—	2	2	no	—
738	#124	—	2	2	no	—
739	#124	—	2	2	no	—
740	#124	—	2	2	no	—
741	#124	—	2	1	no	—
742	#124	—	2	1	no	—
743	#124	D₄×C₅₉	1	1	yes	characteristic
744	#124	C₂³×C₅₉	1	2	yes	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	D₄×C₅₉	1	2	yes	—
754	C₂²⋊Q₈	—	2	1	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	D₄×C₅₉	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂³×C₅₉	1	2	yes	—
769	#121	—	2	2	no	—
770	#121	—	2	1	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	2	no	—
776	#121	—	2	2	no	—
777	#121	—	2	2	no	—
778	#121	D₄×C₅₉	1	1	yes	characteristic
779	#121	C₂³×C₅₉	1	2	yes	—
780	#121	C₂³×C₅₉	1	1	yes	characteristic
781	#121	C₂³×C₅₉	1	1	yes	characteristic
782	#121	C₂³×C₅₉	1	2	yes	—
783	#121	C₂³×C₅₉	1	2	yes	—
784	#121	C₂³×C₅₉	1	2	yes	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
793	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
794	C₄×Q₈	C₂³×C₅₉	1	2	yes	—
795	C₄×Q₈	C₂³×C₅₉	1	1	yes	characteristic
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	C₂³×C₅₉	1	2	yes	—
806	C₄×D₄	C₂³×C₅₉	1	2	yes	—
807	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
808	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
809	C₄×D₄	C₂³×C₅₉	1	2	yes	—
810	C₄×D₄	C₂³×C₅₉	1	2	yes	—
811	C₄×D₄	C₂³×C₅₉	1	2	yes	—
812	C₄×D₄	C₂³×C₅₉	1	1	yes	characteristic
813	#117	—	2	2	no	—
814	#117	—	2	1	no	—
815	#117	—	2	2	no	—
816	#117	C₂³×C₅₉	1	2	yes	—
817	#117	C₂³×C₅₉	1	2	yes	—
818	#117	C₂³×C₅₉	1	2	yes	—
819	C₂×C₄⋊C₄	—	2	1	no	—
820	C₂×C₄⋊C₄	—	2	2	no	—
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
825	C₂×C₄²	—	2	1	no	—
826	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
827	#107	C₂³×C₅₉	1	2	yes	—
828	#107	C₂³×C₅₉	1	2	yes	—
829	#107	C₂³×C₅₉	1	2	yes	—
830	#107	C₂³×C₅₉	1	2	yes	—
831	#106	C₂³×C₅₉	1	1	yes	characteristic
832	#106	C₂³×C₅₉	1	2	yes	—
833	#106	C₂³×C₅₉	1	2	yes	—
834	#106	C₂³×C₅₉	1	2	yes	—
835	#106	C₂³×C₅₉	1	1	yes	characteristic
836	#106	C₂³×C₅₉	1	2	yes	—
837	#106	C₂³×C₅₉	1	2	yes	—
838	#106	C₂³×C₅₉	1	1	yes	characteristic
839	#106	C₂³×C₅₉	1	1	yes	characteristic
840	#106	C₂³×C₅₉	1	2	yes	—
841	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
842	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
843	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
845	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
846	C₄⋊C₈	C₂³×C₅₉	1	2	yes	—
847	C₄⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
848	#103	C₂³×C₅₉	1	1	yes	characteristic
849	#103	C₂³×C₅₉	1	2	yes	—
850	#103	C₂³×C₅₉	1	1	yes	characteristic
851	#103	C₂³×C₅₉	1	2	yes	—
852	#103	C₂³×C₅₉	1	2	yes	—
853	#103	C₂³×C₅₉	1	2	yes	—
854	#103	C₂³×C₅₉	1	1	yes	characteristic
855	#103	C₂³×C₅₉	1	1	yes	characteristic
856	#102	C₂³×C₅₉	1	2	yes	—
857	#102	C₂³×C₅₉	1	2	yes	—
858	#102	C₂³×C₅₉	1	2	yes	—
859	#102	C₂³×C₅₉	1	2	yes	—
860	#102	C₂³×C₅₉	1	1	yes	characteristic
861	#102	C₂³×C₅₉	1	2	yes	—
862	#102	C₂³×C₅₉	1	1	yes	characteristic
863	#102	C₂³×C₅₉	1	2	yes	—
864	#102	C₂³×C₅₉	1	1	yes	characteristic
865	#102	C₂³×C₅₉	1	1	yes	characteristic
866	#102	C₂³×C₅₉	1	2	yes	—
867	#102	C₂³×C₅₉	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
869	C₂²⋊C₈	C₂³×C₅₉	1	1	yes	characteristic
870	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₅₉	1	2	yes	—
872	#97	C₂³×C₅₉	1	2	yes	—
873	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
874	C₄×C₈	C₂³×C₅₉	1	1	yes	characteristic
875	C₄×C₈	C₂³×C₅₉	1	2	yes	—
876	#41	—	2	4	no	—
877	#41	—	4	2	no	—
878	#41	—	8	2	no	—
879	#41	—	8	2	no	—
880	#41	—	8	2	no	—
881	#41	—	8	4	no	—
882	C₂×Q₈	—	2	1	no	—
883	C₂×Q₈	—	2	1	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	2	no	—
888	C₂×Q₈	—	2	1	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	4	1	no	—
891	C₂×Q₈	—	8	2	no	—
892	C₂×Q₈	C₂×D₄×C₅₉	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
894	C₂×Q₈	C₂⁴×C₅₉	1	1	yes	characteristic
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	C₂×D₄×C₅₉	1	1	yes	characteristic
907	C₂×D₄	C₂×D₄×C₅₉	1	2	yes	—
908	C₂×D₄	C₂⁴×C₅₉	1	2	yes	—
909	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
910	C₂×D₄	C₂⁴×C₅₉	1	1	yes	characteristic
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
923	C₂²×C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
924	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
925	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
926	SD₁₆	—	2	2	no	—
927	SD₁₆	—	2	2	no	—
928	SD₁₆	—	4	1	no	—
929	SD₁₆	—	4	1	no	—
930	D₈	—	4	2	no	—
931	D₈	—	4	2	no	—
932	M₁₆	—	4	2	no	—
933	M₁₆	—	4	2	no	—
934	C₂×C₈	—	4	2	no	—
935	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₅₉	1	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₅₉	1	2	yes	—
940	C₂×C₈	C₂⁴×C₅₉	1	2	yes	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
962	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
963	C₄⋊C₄	C₂×D₄×C₅₉	1	1	yes	characteristic
964	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
965	C₄⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
968	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₅₉	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₅₉	1	1	yes	characteristic
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
991	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
992	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
993	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
994	C₂²⋊C₄	C₂×D₄×C₅₉	1	2	yes	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	2	no	—
1002	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1003	C₄²	C₂×D₄×C₅₉	1	1	yes	characteristic
1004	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1005	C₄²	C₂⁴×C₅₉	1	2	yes	—
1006	C₄²	C₂⁴×C₅₉	1	1	yes	characteristic
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	1	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
1011	C₂³	C₂²×D₄×C₅₉	1	1	yes	characteristic
1012	Q₈	—	2	2	no	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	4	2	no	—
1017	Q₈	—	4	2	no	—
1018	Q₈	—	8	1	no	—
1019	Q₈	—	8	2	no	—
1020	Q₈	—	8	1	no	—
1021	Q₈	—	8	1	no	—
1022	Q₈	—	8	2	no	—
1023	Q₈	2₋¹⁺⁴×C₅₉	1	2	yes	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	2	1	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	1	no	—
1030	D₄	—	2	2	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	4	4	no	—
1033	D₄	—	4	4	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	8	1	no	—
1036	D₄	—	8	1	no	—
1037	D₄	—	8	1	no	—
1038	D₄	—	8	2	no	—
1039	D₄	—	8	1	no	—
1040	D₄	—	8	1	no	—
1041	D₄	—	8	2	no	—
1042	D₄	—	8	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	4	1	no	—
1058	C₂×C₄	—	4	4	no	—
1059	C₂×C₄	—	4	2	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1070	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1071	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1072	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1073	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1076	C₂×C₄	C₂²×D₄×C₅₉	1	1	yes	characteristic
1077	C₂×C₄	C₂⁵×C₅₉	1	1	yes	characteristic
1078	C₈	—	2	1	no	—
1079	C₈	—	2	1	no	—
1080	C₈	—	2	1	no	—
1081	C₈	—	2	2	no	—
1082	C₈	—	2	2	no	—
1083	C₈	—	2	1	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1100	C₄	—	2	1	no	—
1101	C₄	—	2	2	no	—
1102	C₄	—	2	1	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	2	no	—
1105	C₄	—	2	2	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	2	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	2	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	C₅₉×#577	1	2	yes	—
1117	C₄	C₂×2₋¹⁺⁴×C₅₉	1	1	yes	characteristic
1118	C₄	C₅₉×#585	1	1	yes	characteristic
1119	C₂	—	4	1	no	—
1120	C₂	—	4	2	no	—
1121	C₂	—	8	1	no	—
1122	C₂	—	8	1	no	—
1123	C₂	—	8	2	no	—
1124	C₂	C₅₉×#3489	1	1	yes	characteristic
1125	C₂	C₂×C₅₉×#577	1	1	yes	characteristic
1126	C₂	C₅₉×#3585	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×#3547	C₂	semidirect
2. C₅₉×#3522	C₂	semidirect
3. C₅₉×#3385	C₂	semidirect
4. Q₈×SD₁₆×C₅₉	C₂	semidirect
5. C₅₉×#3373	C₂	semidirect
6. C₅₉×#3361	C₂	semidirect
7. C₅₉×#3357	C₂	semidirect
8. C₅₉×#3354	C₂	semidirect
9. C₅₉×#3345	C₂	semidirect
10. C₅₉×#3335	C₂	semidirect
11. C₅₉×#3332	C₂	semidirect
12. C₅₉×#3326	C₂	semidirect
13. C₅₉×#3321	C₂	semidirect
14. C₅₉×#3305	C₂	semidirect
15. C₅₉×#3257	C₂	semidirect
16. C₅₉×#3253	C₂	semidirect
17. C₅₉×#3244	C₂	semidirect
18. C₅₉×#3228	C₂	semidirect
19. C₅₉×#3119	C₂	semidirect
20. C₅₉×#3103	C₂	semidirect
21. C₅₉×#3084	C₂	semidirect
22. C₅₉×#3078	C₂	semidirect
23. C₅₉×#2993	C₂	semidirect
520. #62194	C₅₉	direct (N × H)
556. #3547	C₂×C₅₉	semidirect
557. #3522	C₂×C₅₉	semidirect
558. #3385	C₂×C₅₉	semidirect
559. Q₈×SD₁₆	C₂×C₅₉	semidirect
560. #3373	C₂×C₅₉	semidirect
561. #3361	C₂×C₅₉	semidirect
562. #3357	C₂×C₅₉	semidirect
563. #3354	C₂×C₅₉	semidirect
564. #3345	C₂×C₅₉	semidirect
565. #3335	C₂×C₅₉	semidirect
566. #3332	C₂×C₅₉	semidirect
567. #3326	C₂×C₅₉	semidirect
568. #3321	C₂×C₅₉	semidirect
569. #3305	C₂×C₅₉	semidirect
570. #3257	C₂×C₅₉	semidirect
571. #3253	C₂×C₅₉	semidirect
572. #3244	C₂×C₅₉	semidirect
573. #3228	C₂×C₅₉	semidirect
574. #3119	C₂×C₅₉	semidirect
575. #3103	C₂×C₅₉	semidirect
576. #3084	C₂×C₅₉	semidirect
577. #3078	C₂×C₅₉	semidirect
578. #2993	C₂×C₅₉	semidirect
698. C₅₉	#62194	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×#3547	2
C₅₉×#3522	2
C₅₉×#3385	2
Q₈×SD₁₆×C₅₉	2
C₅₉×#3373	2
C₅₉×#3361	2
C₅₉×#3357	2
C₅₉×#3354	2
C₅₉×#3345	2
C₅₉×#3335	2
C₅₉×#3332	2
C₅₉×#3326	2
C₅₉×#3321	2
C₅₉×#3305	2
C₅₉×#3257	2
C₅₉×#3253	2
C₅₉×#3244	2
C₅₉×#3228	2
C₅₉×#3119	2
C₅₉×#3103	2
C₅₉×#3084	2
C₅₉×#3078	2
C₅₉×#2993	2
#62194	59

Subgroups — C59×#62194 #28474303

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#62194 #28474303