Subgroups — C₅₉×#35778 #28447887

Order 15104.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₉×#559	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅₉×#520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2630	C₂	1	2	yes	maximal, complemented
4	C₅₉×#2620	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2582	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₉×#2579	C₂	1	2	yes	maximal, complemented
7	C₅₉×#2545	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2474	C₂	1	2	yes	maximal, complemented
9	C₅₉×#2470	C₂	1	2	yes	maximal, complemented
10	C₅₉×#2459	C₂	1	2	yes	maximal, complemented
11	C₅₉×#2455	C₂	1	2	yes	maximal, complemented
12	C₅₉×#2447	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₉×#2445	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₉×#2432	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#2431	C₂	1	1	yes	maximal, characteristic
16	C₅₉×#2413	C₂	1	2	yes	maximal, complemented
17	C₅₉×#2396	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₉×#2392	C₂	1	2	yes	maximal, complemented
19	C₅₉×#2367	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₉×#2365	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₉×#2361	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₉×#2360	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₉×#2354	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₅₉	C₂²	1	1	yes	characteristic
25	C₅₉×#559	—	2	8	no	—
26	C₂×C₄⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
27	C₂×#127×C₅₉	C₂²	1	1	yes	characteristic
28	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic
29	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic
30	C₂×#124×C₅₉	C₂²	1	1	yes	characteristic
31	C₂×#124×C₅₉	C₂²	1	2	yes	—
32	C₂×#123×C₅₉	C₂²	1	2	yes	—
33	C₂×#123×C₅₉	C₂²	1	2	yes	—
34	C₂×#123×C₅₉	C₂²	1	2	yes	—
35	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
36	C₂×#121×C₅₉	C₂²	1	1	yes	characteristic
37	C₅₉×#520	—	2	8	no	—
38	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
39	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
40	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
41	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	—
43	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	—
45	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	—
47	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	—
48	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
49	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
50	C₂×#117×C₅₉	C₂²	1	2	yes	—
51	C₂×#117×C₅₉	C₂²	1	2	yes	—
52	C₂²×C₄⋊C₄×C₅₉	C₂²	1	2	yes	—
53	C₂²×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
54	C₅₉×#400	C₂²	1	1	yes	characteristic
55	C₅₉×#399	C₂²	1	1	yes	characteristic
56	C₅₉×#398	C₂²	1	1	yes	characteristic
57	C₅₉×#398	C₂²	1	2	yes	—
58	C₅₉×#398	C₂²	1	2	yes	—
59	C₅₉×#398	C₂²	1	1	yes	characteristic
60	C₅₉×#397	C₂²	1	2	yes	—
61	C₅₉×#397	C₂²	1	2	yes	—
62	C₅₉×#396	C₂²	1	2	yes	—
63	C₅₉×#396	C₂²	1	2	yes	—
64	C₅₉×#396	C₂²	1	2	yes	—
65	C₅₉×#396	C₂²	1	2	yes	—
66	C₅₉×#396	C₂²	1	1	yes	characteristic
67	C₅₉×#396	C₂²	1	1	yes	characteristic
68	C₅₉×#395	C₂²	1	1	yes	characteristic
69	C₅₉×#394	C₂²	1	2	yes	—
70	C₅₉×#394	C₂²	1	2	yes	—
71	C₅₉×#394	C₂²	1	2	yes	—
72	C₅₉×#394	C₂²	1	2	yes	—
73	C₅₉×#394	C₂²	1	2	yes	—
74	C₅₉×#394	C₂²	1	2	yes	—
75	C₅₉×#393	C₂²	1	1	yes	characteristic
76	C₅₉×#392	C₂²	1	2	yes	—
77	C₅₉×#392	C₂²	1	2	yes	—
78	C₅₉×#391	C₂²	1	1	yes	characteristic
79	C₅₉×#391	C₂²	1	1	yes	characteristic
80	C₅₉×#391	C₂²	1	1	yes	characteristic
81	C₅₉×#391	C₂²	1	2	yes	—
82	C₅₉×#391	C₂²	1	1	yes	characteristic
83	C₅₉×#390	C₂²	1	1	yes	characteristic
84	C₅₉×#390	C₂²	1	1	yes	characteristic
85	C₅₉×#390	C₂²	1	1	yes	characteristic
86	C₅₉×#390	C₂²	1	1	yes	characteristic
87	C₅₉×#389	C₂²	1	1	yes	characteristic
88	C₅₉×#389	C₂²	1	1	yes	characteristic
89	C₅₉×#389	C₂²	1	2	yes	—
90	C₅₉×#389	C₂²	1	2	yes	—
91	C₅₉×#389	C₂²	1	2	yes	—
92	C₅₉×#388	C₂²	1	2	yes	—
93	C₅₉×#388	C₂²	1	2	yes	—
94	C₅₉×#388	C₂²	1	2	yes	—
95	C₅₉×#388	C₂²	1	2	yes	—
96	C₅₉×#388	C₂²	1	2	yes	—
97	C₅₉×#388	C₂²	1	2	yes	—
98	C₅₉×#388	C₂²	1	2	yes	—
99	C₅₉×#387	C₂²	1	2	yes	—
100	C₅₉×#387	C₂²	1	2	yes	—
101	C₅₉×#387	C₂²	1	2	yes	—
102	C₅₉×#386	C₂²	1	2	yes	—
103	C₅₉×#386	C₂²	1	2	yes	—
104	C₅₉×#386	C₂²	1	2	yes	—
105	C₅₉×#386	C₂²	1	2	yes	—
106	C₅₉×#385	C₂²	1	2	yes	—
107	C₅₉×#385	C₂²	1	2	yes	—
108	C₅₉×#385	C₂²	1	2	yes	—
109	C₅₉×#385	C₂²	1	2	yes	—
110	C₅₉×#385	C₂²	1	2	yes	—
111	C₅₉×#385	C₂²	1	2	yes	—
112	C₅₉×#384	C₂²	1	1	yes	characteristic
113	C₅₉×#381	C₂²	1	2	yes	—
114	C₅₉×#380	C₂²	1	2	yes	—
115	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊C₄×C₅₉	C₂²	1	2	yes	—
119	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
120	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
121	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
122	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
123	C₄×C₂²⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
124	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
125	C₂×#41×C₅₉	—	2	4	no	—
126	C₂×#41×C₅₉	—	2	4	no	—
127	C₂×#41×C₅₉	—	2	4	no	—
128	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
129	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
130	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
133	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
134	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
136	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
137	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
138	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
140	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
141	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
142	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
143	C₄⋊Q₈×C₅₉	—	2	4	no	—
144	#127×C₅₉	—	2	4	no	—
145	#124×C₅₉	—	2	4	no	—
146	#124×C₅₉	—	2	4	no	—
147	#124×C₅₉	—	2	8	no	—
148	#124×C₅₉	—	2	4	no	—
149	#123×C₅₉	—	2	8	no	—
150	#123×C₅₉	—	2	8	no	—
151	#123×C₅₉	—	4	4	no	—
152	C₂²⋊Q₈×C₅₉	—	2	4	no	—
153	#121×C₅₉	—	2	4	no	—
154	C₄×Q₈×C₅₉	—	2	4	no	—
155	C₄×Q₈×C₅₉	—	2	4	no	—
156	C₄×Q₈×C₅₉	—	2	4	no	—
157	C₄×Q₈×C₅₉	—	2	4	no	—
158	C₄×D₄×C₅₉	—	2	4	no	—
159	C₄×D₄×C₅₉	—	2	8	no	—
160	C₄×D₄×C₅₉	—	2	8	no	—
161	C₄×D₄×C₅₉	—	2	4	no	—
162	C₄×D₄×C₅₉	—	2	8	no	—
163	C₄×D₄×C₅₉	—	4	4	no	—
164	C₄×D₄×C₅₉	D₄	1	8	yes	complemented
165	#117×C₅₉	—	2	8	no	—
166	#117×C₅₉	—	2	4	no	—
167	#117×C₅₉	—	4	4	no	—
168	C₂×C₄⋊C₄×C₅₉	—	2	8	no	—
169	C₂×C₄⋊C₄×C₅₉	—	2	4	no	—
170	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
171	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
172	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
173	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
175	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
178	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
179	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
180	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
182	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
183	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
186	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
192	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
204	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
212	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
220	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
221	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
224	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
225	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
228	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
230	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
231	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
232	#95×C₅₉	C₂³	1	1	yes	characteristic
233	#95×C₅₉	C₂³	1	2	yes	—
234	#95×C₅₉	C₂³	1	1	yes	characteristic
235	#95×C₅₉	C₂³	1	1	yes	characteristic
236	#95×C₅₉	C₂³	1	2	yes	—
237	#95×C₅₉	C₂³	1	1	yes	characteristic
238	#95×C₅₉	C₂³	1	1	yes	characteristic
239	#95×C₅₉	C₂³	1	2	yes	—
240	#95×C₅₉	C₂³	1	2	yes	—
241	#95×C₅₉	C₂³	1	2	yes	—
242	#95×C₅₉	C₂³	1	1	yes	characteristic
243	#95×C₅₉	C₂³	1	1	yes	characteristic
244	#95×C₅₉	C₂³	1	2	yes	—
245	#95×C₅₉	C₂³	1	1	yes	characteristic
246	#95×C₅₉	C₂³	1	2	yes	—
247	#95×C₅₉	C₂³	1	1	yes	characteristic
248	#95×C₅₉	C₂³	1	1	yes	characteristic
249	#95×C₅₉	C₂³	1	2	yes	—
250	#95×C₅₉	C₂³	1	2	yes	—
251	#95×C₅₉	C₂³	1	2	yes	—
252	#95×C₅₉	C₂³	1	2	yes	—
253	#95×C₅₉	C₂³	1	2	yes	—
254	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
255	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
256	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
257	#41×C₅₉	—	2	32	no	—
258	C₂×Q₈×C₅₉	—	2	2	no	—
259	C₂×Q₈×C₅₉	—	2	2	no	—
260	C₂×Q₈×C₅₉	—	2	2	no	—
261	C₂×Q₈×C₅₉	—	2	2	no	—
262	C₂×Q₈×C₅₉	—	2	2	no	—
263	C₂×Q₈×C₅₉	—	2	2	no	—
264	C₂×Q₈×C₅₉	—	2	2	no	—
265	C₂×Q₈×C₅₉	—	4	1	no	—
266	C₂×Q₈×C₅₉	#41	1	4	yes	—
267	C₂×D₄×C₅₉	—	2	4	no	—
268	C₂×D₄×C₅₉	—	2	4	no	—
269	C₂×D₄×C₅₉	—	2	4	no	—
270	C₂×D₄×C₅₉	—	2	4	no	—
271	C₂×D₄×C₅₉	—	2	4	no	—
272	C₂×D₄×C₅₉	—	2	2	no	—
273	C₂×D₄×C₅₉	—	2	4	no	—
274	C₂×D₄×C₅₉	—	2	2	no	—
275	C₂×D₄×C₅₉	—	2	2	no	—
276	C₂×D₄×C₅₉	—	2	2	no	—
277	C₂×D₄×C₅₉	—	2	2	no	—
278	C₂×D₄×C₅₉	—	2	4	no	—
279	C₂×D₄×C₅₉	—	4	2	no	—
280	C₂×D₄×C₅₉	—	4	2	no	—
281	C₂×D₄×C₅₉	—	4	2	no	—
282	C₂×D₄×C₅₉	—	4	2	no	—
283	C₂×D₄×C₅₉	—	4	2	no	—
284	C₂×D₄×C₅₉	C₂×D₄	1	4	yes	—
285	C₂²×C₄×C₅₉	—	2	4	no	—
286	C₂²×C₄×C₅₉	—	2	2	no	—
287	C₂²×C₄×C₅₉	—	2	4	no	—
288	C₂²×C₄×C₅₉	—	2	4	no	—
289	C₂²×C₄×C₅₉	—	2	2	no	—
290	C₂²×C₄×C₅₉	—	2	4	no	—
291	C₂²×C₄×C₅₉	—	2	4	no	—
292	C₂²×C₄×C₅₉	—	2	4	no	—
293	C₂²×C₄×C₅₉	—	4	2	no	—
294	C₂²×C₄×C₅₉	—	4	2	no	—
295	C₂²×C₄×C₅₉	—	4	2	no	—
296	C₂²×C₄×C₅₉	—	4	2	no	—
297	C₂²×C₄×C₅₉	—	4	2	no	—
298	C₂²×C₄×C₅₉	—	4	2	no	—
299	C₂²×C₄×C₅₉	—	4	2	no	—
300	C₂²×C₄×C₅₉	—	4	2	no	—
301	C₂²×C₄×C₅₉	C₂×D₄	1	8	yes	—
302	C₂²×C₄×C₅₉	#41	1	4	yes	—
303	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
316	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
323	C₄⋊C₄×C₅₉	—	2	4	no	—
324	C₄⋊C₄×C₅₉	—	2	2	no	—
325	C₄⋊C₄×C₅₉	—	2	4	no	—
326	C₄⋊C₄×C₅₉	—	2	4	no	—
327	C₄⋊C₄×C₅₉	—	2	2	no	—
328	C₄⋊C₄×C₅₉	—	2	2	no	—
329	C₄⋊C₄×C₅₉	—	2	2	no	—
330	C₄⋊C₄×C₅₉	—	2	4	no	—
331	C₄⋊C₄×C₅₉	—	2	2	no	—
332	C₄⋊C₄×C₅₉	—	2	2	no	—
333	C₄⋊C₄×C₅₉	—	2	2	no	—
334	C₄⋊C₄×C₅₉	—	2	2	no	—
335	C₄⋊C₄×C₅₉	—	2	4	no	—
336	C₄⋊C₄×C₅₉	—	2	4	no	—
337	C₄⋊C₄×C₅₉	—	2	4	no	—
338	C₄⋊C₄×C₅₉	—	2	2	no	—
339	C₄⋊C₄×C₅₉	—	2	2	no	—
340	C₄⋊C₄×C₅₉	—	2	2	no	—
341	C₄⋊C₄×C₅₉	—	4	2	no	—
342	C₄⋊C₄×C₅₉	—	4	1	no	—
343	C₄⋊C₄×C₅₉	—	4	1	no	—
344	C₄⋊C₄×C₅₉	—	4	1	no	—
345	C₄⋊C₄×C₅₉	—	4	2	no	—
346	C₄⋊C₄×C₅₉	—	4	2	no	—
347	C₄⋊C₄×C₅₉	—	4	2	no	—
348	C₄⋊C₄×C₅₉	C₂×D₄	1	4	yes	—
349	C₂²⋊C₄×C₅₉	—	2	4	no	—
350	C₂²⋊C₄×C₅₉	—	2	4	no	—
351	C₂²⋊C₄×C₅₉	—	2	4	no	—
352	C₂²⋊C₄×C₅₉	—	2	4	no	—
353	C₂²⋊C₄×C₅₉	—	2	2	no	—
354	C₂²⋊C₄×C₅₉	—	2	2	no	—
355	C₂²⋊C₄×C₅₉	—	2	4	no	—
356	C₂²⋊C₄×C₅₉	—	2	4	no	—
357	C₂²⋊C₄×C₅₉	—	2	4	no	—
358	C₂²⋊C₄×C₅₉	—	2	4	no	—
359	C₂²⋊C₄×C₅₉	—	2	4	no	—
360	C₂²⋊C₄×C₅₉	—	2	4	no	—
361	C₂²⋊C₄×C₅₉	—	2	4	no	—
362	C₂²⋊C₄×C₅₉	—	2	2	no	—
363	C₂²⋊C₄×C₅₉	—	2	4	no	—
364	C₂²⋊C₄×C₅₉	—	2	2	no	—
365	C₂²⋊C₄×C₅₉	—	4	2	no	—
366	C₂²⋊C₄×C₅₉	—	4	1	no	—
367	C₂²⋊C₄×C₅₉	—	4	2	no	—
368	C₂²⋊C₄×C₅₉	—	4	2	no	—
369	C₂²⋊C₄×C₅₉	—	4	2	no	—
370	C₂²⋊C₄×C₅₉	—	4	1	no	—
371	C₂²⋊C₄×C₅₉	—	4	2	no	—
372	C₂²⋊C₄×C₅₉	—	4	2	no	—
373	C₂²⋊C₄×C₅₉	C₂×D₄	1	8	yes	—
374	C₄²×C₅₉	—	2	4	no	—
375	C₄²×C₅₉	—	2	4	no	—
376	C₄²×C₅₉	—	2	2	no	—
377	C₄²×C₅₉	—	2	4	no	—
378	C₄²×C₅₉	—	2	2	no	—
379	C₄²×C₅₉	—	2	2	no	—
380	C₄²×C₅₉	—	2	2	no	—
381	C₄²×C₅₉	—	2	2	no	—
382	C₄²×C₅₉	—	2	4	no	—
383	C₄²×C₅₉	—	4	2	no	—
384	C₄²×C₅₉	C₂×D₄	1	4	yes	—
385	C₂³×C₅₉	—	2	1	no	—
386	C₂³×C₅₉	—	2	2	no	—
387	C₂³×C₅₉	—	2	2	no	—
388	C₂³×C₅₉	—	2	1	no	—
389	C₂³×C₅₉	—	2	2	no	—
390	C₂³×C₅₉	—	2	1	no	—
391	C₂³×C₅₉	—	2	1	no	—
392	C₂³×C₅₉	—	2	2	no	—
393	C₂³×C₅₉	—	2	2	no	—
394	C₂³×C₅₉	—	2	1	no	—
395	C₂³×C₅₉	—	2	1	no	—
396	C₂³×C₅₉	—	2	2	no	—
397	C₂³×C₅₉	—	2	2	no	—
398	C₂³×C₅₉	—	2	2	no	—
399	C₂³×C₅₉	—	2	2	no	—
400	C₂³×C₅₉	—	2	2	no	—
401	C₂³×C₅₉	—	2	2	no	—
402	C₂³×C₅₉	—	2	2	no	—
403	C₂³×C₅₉	—	2	2	no	—
404	C₂³×C₅₉	C₂²×D₄	1	4	yes	—
405	C₂³×C₅₉	C₂×#41	1	2	yes	—
406	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
407	Q₈×C₅₉	—	2	8	no	—
408	Q₈×C₅₉	—	4	4	no	—
409	Q₈×C₅₉	—	4	4	no	—
410	D₄×C₅₉	—	2	16	no	—
411	D₄×C₅₉	—	2	8	no	—
412	D₄×C₅₉	—	4	8	no	—
413	D₄×C₅₉	—	4	8	no	—
414	D₄×C₅₉	—	4	4	no	—
415	D₄×C₅₉	—	8	4	no	—
416	C₂×C₄×C₅₉	—	2	16	no	—
417	C₂×C₄×C₅₉	—	2	1	no	—
418	C₂×C₄×C₅₉	—	2	2	no	—
419	C₂×C₄×C₅₉	—	2	1	no	—
420	C₂×C₄×C₅₉	—	2	1	no	—
421	C₂×C₄×C₅₉	—	2	1	no	—
422	C₂×C₄×C₅₉	—	2	2	no	—
423	C₂×C₄×C₅₉	—	2	2	no	—
424	C₂×C₄×C₅₉	—	2	1	no	—
425	C₂×C₄×C₅₉	—	2	1	no	—
426	C₂×C₄×C₅₉	—	2	1	no	—
427	C₂×C₄×C₅₉	—	2	1	no	—
428	C₂×C₄×C₅₉	—	2	1	no	—
429	C₂×C₄×C₅₉	—	2	2	no	—
430	C₂×C₄×C₅₉	—	2	1	no	—
431	C₂×C₄×C₅₉	—	2	8	no	—
432	C₂×C₄×C₅₉	—	2	1	no	—
433	C₂×C₄×C₅₉	—	2	2	no	—
434	C₂×C₄×C₅₉	—	2	1	no	—
435	C₂×C₄×C₅₉	—	2	1	no	—
436	C₂×C₄×C₅₉	—	2	2	no	—
437	C₂×C₄×C₅₉	—	2	1	no	—
438	C₂×C₄×C₅₉	—	2	1	no	—
439	C₂×C₄×C₅₉	—	2	1	no	—
440	C₂×C₄×C₅₉	—	2	1	no	—
441	C₂×C₄×C₅₉	—	2	1	no	—
442	C₂×C₄×C₅₉	—	2	2	no	—
443	C₂×C₄×C₅₉	—	2	2	no	—
444	C₂×C₄×C₅₉	—	2	2	no	—
445	C₂×C₄×C₅₉	—	2	2	no	—
446	C₂×C₄×C₅₉	—	2	2	no	—
447	C₂×C₄×C₅₉	—	2	1	no	—
448	C₂×C₄×C₅₉	—	2	2	no	—
449	C₂×C₄×C₅₉	—	2	1	no	—
450	C₂×C₄×C₅₉	—	2	2	no	—
451	C₂×C₄×C₅₉	—	2	1	no	—
452	C₂×C₄×C₅₉	—	2	1	no	—
453	C₂×C₄×C₅₉	—	2	1	no	—
454	C₂×C₄×C₅₉	—	2	1	no	—
455	C₂×C₄×C₅₉	—	2	1	no	—
456	C₂×C₄×C₅₉	—	2	1	no	—
457	C₂×C₄×C₅₉	—	2	1	no	—
458	C₂×C₄×C₅₉	—	2	2	no	—
459	C₂×C₄×C₅₉	—	2	1	no	—
460	C₂×C₄×C₅₉	—	2	1	no	—
461	C₂×C₄×C₅₉	—	2	1	no	—
462	C₂×C₄×C₅₉	—	2	2	no	—
463	C₂×C₄×C₅₉	—	2	1	no	—
464	C₂×C₄×C₅₉	—	2	2	no	—
465	C₂×C₄×C₅₉	—	2	1	no	—
466	C₂×C₄×C₅₉	—	2	1	no	—
467	C₂×C₄×C₅₉	—	2	1	no	—
468	C₂×C₄×C₅₉	—	4	8	no	—
469	C₂×C₄×C₅₉	—	8	4	no	—
470	C₂×C₄×C₅₉	—	8	4	no	—
471	C₂×C₄×C₅₉	—	8	4	no	—
472	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
473	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
474	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
475	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
476	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
477	C₂×C₄×C₅₉	C₂×#41	1	4	yes	—
478	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
479	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
480	C₂×C₄×C₅₉	H(5,𝔽₂)	1	2	yes	—
481	C₂×C₄×C₅₉	2₋¹⁺⁴	1	2	yes	—
482	#35778	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
483	C₂²×C₅₉	—	2	4	no	—
484	C₂²×C₅₉	—	2	2	no	—
485	C₂²×C₅₉	—	2	4	no	—
486	C₂²×C₅₉	—	2	4	no	—
487	C₂²×C₅₉	—	2	2	no	—
488	C₂²×C₅₉	—	2	2	no	—
489	C₂²×C₅₉	—	4	1	no	—
490	C₂²×C₅₉	—	4	1	no	—
491	C₂²×C₅₉	—	4	2	no	—
492	C₂²×C₅₉	—	4	2	no	—
493	C₂²×C₅₉	—	4	2	no	—
494	C₂²×C₅₉	—	4	1	no	—
495	C₂²×C₅₉	—	4	2	no	—
496	C₂²×C₅₉	—	4	1	no	—
497	C₂²×C₅₉	—	4	2	no	—
498	C₂²×C₅₉	—	4	2	no	—
499	C₂²×C₅₉	—	4	2	no	—
500	C₂²×C₅₉	—	4	2	no	—
501	C₂²×C₅₉	—	4	2	no	—
502	C₂²×C₅₉	—	4	2	no	—
503	C₂²×C₅₉	—	4	2	no	—
504	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
505	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
506	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
507	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
508	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
509	C₂²×C₅₉	#585	1	1	yes	characteristic
510	C₂²×C₅₉	#585	1	1	yes	characteristic
511	C₄×C₅₉	—	2	2	no	—
512	C₄×C₅₉	—	2	4	no	—
513	C₄×C₅₉	—	2	2	no	—
514	C₄×C₅₉	—	2	2	no	—
515	C₄×C₅₉	—	2	2	no	—
516	C₄×C₅₉	—	2	4	no	—
517	C₄×C₅₉	—	2	2	no	—
518	C₄×C₅₉	—	4	2	no	—
519	C₄×C₅₉	—	4	1	no	—
520	C₄×C₅₉	—	4	1	no	—
521	C₄×C₅₉	—	4	1	no	—
522	C₄×C₅₉	—	4	2	no	—
523	C₄×C₅₉	—	4	1	no	—
524	C₄×C₅₉	—	4	1	no	—
525	C₄×C₅₉	—	4	2	no	—
526	C₄×C₅₉	—	4	2	no	—
527	C₄×C₅₉	—	4	1	no	—
528	C₄×C₅₉	—	4	1	no	—
529	C₄×C₅₉	—	4	1	no	—
530	C₄×C₅₉	#525	1	4	yes	—
531	C₂×#559	C₂×C₅₉	1	1	yes	characteristic, complemented
532	C₂×#520	C₂×C₅₉	1	1	yes	characteristic, complemented
533	#2630	C₂×C₅₉	1	2	yes	complemented
534	#2620	C₂×C₅₉	1	1	yes	characteristic, complemented
535	#2582	C₂×C₅₉	1	1	yes	characteristic, complemented
536	#2579	C₂×C₅₉	1	2	yes	complemented
537	#2545	C₂×C₅₉	1	1	yes	characteristic, complemented
538	#2474	C₂×C₅₉	1	2	yes	complemented
539	#2470	C₂×C₅₉	1	2	yes	complemented
540	#2459	C₂×C₅₉	1	2	yes	complemented
541	#2455	C₂×C₅₉	1	2	yes	complemented
542	#2447	C₂×C₅₉	1	1	yes	characteristic, complemented
543	#2445	C₂×C₅₉	1	1	yes	characteristic, complemented
544	#2432	C₂×C₅₉	1	1	yes	characteristic, complemented
545	#2431	C₂×C₅₉	1	1	yes	characteristic
546	#2413	C₂×C₅₉	1	2	yes	complemented
547	#2396	C₂×C₅₉	1	1	yes	characteristic, complemented
548	#2392	C₂×C₅₉	1	2	yes	complemented
549	#2367	C₂×C₅₉	1	1	yes	characteristic, complemented
550	#2365	C₂×C₅₉	1	1	yes	characteristic, complemented
551	#2361	C₂×C₅₉	1	1	yes	characteristic, complemented
552	#2360	C₂×C₅₉	1	1	yes	characteristic, complemented
553	#2354	C₂×C₅₉	1	1	yes	characteristic, complemented
554	C₂×C₅₉	—	4	4	no	—
555	C₂×C₅₉	—	4	2	no	—
556	C₂×C₅₉	—	8	2	no	—
557	C₂×C₅₉	C₂×#525	1	1	yes	characteristic
558	C₂×C₅₉	#3489	1	1	yes	characteristic
559	C₂×C₅₉	#3496	1	1	yes	characteristic
560	C₂×C₅₉	#3506	1	1	yes	characteristic
561	C₂×C₅₉	#3507	1	1	yes	characteristic
562	C₂×C₅₉	#3522	1	1	yes	characteristic
563	C₂×C₅₉	#3524	1	1	yes	characteristic
564	C₂²×#41	C₂²×C₅₉	1	1	yes	characteristic
565	#559	—	2	8	no	—
566	C₂×C₄⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
567	C₂×#127	C₂²×C₅₉	1	1	yes	characteristic
568	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic
569	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic
570	C₂×#124	C₂²×C₅₉	1	1	yes	characteristic
571	C₂×#124	C₂²×C₅₉	1	2	yes	—
572	C₂×#123	C₂²×C₅₉	1	2	yes	—
573	C₂×#123	C₂²×C₅₉	1	2	yes	—
574	C₂×#123	C₂²×C₅₉	1	2	yes	—
575	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
576	C₂×#121	C₂²×C₅₉	1	1	yes	characteristic
577	#520	—	2	8	no	—
578	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
579	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
580	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
581	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
582	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	—
583	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
584	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	—
585	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
586	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	—
587	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	—
588	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
589	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
590	C₂×#117	C₂²×C₅₉	1	2	yes	—
591	C₂×#117	C₂²×C₅₉	1	2	yes	—
592	C₂²×C₄⋊C₄	C₂²×C₅₉	1	2	yes	—
593	C₂²×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
594	#400	C₂²×C₅₉	1	1	yes	characteristic
595	#399	C₂²×C₅₉	1	1	yes	characteristic
596	#398	C₂²×C₅₉	1	1	yes	characteristic
597	#398	C₂²×C₅₉	1	2	yes	—
598	#398	C₂²×C₅₉	1	2	yes	—
599	#398	C₂²×C₅₉	1	1	yes	characteristic
600	#397	C₂²×C₅₉	1	2	yes	—
601	#397	C₂²×C₅₉	1	2	yes	—
602	#396	C₂²×C₅₉	1	2	yes	—
603	#396	C₂²×C₅₉	1	2	yes	—
604	#396	C₂²×C₅₉	1	2	yes	—
605	#396	C₂²×C₅₉	1	1	yes	characteristic
606	#396	C₂²×C₅₉	1	1	yes	characteristic
607	#396	C₂²×C₅₉	1	2	yes	—
608	#395	C₂²×C₅₉	1	1	yes	characteristic
609	#394	C₂²×C₅₉	1	2	yes	—
610	#394	C₂²×C₅₉	1	2	yes	—
611	#394	C₂²×C₅₉	1	2	yes	—
612	#394	C₂²×C₅₉	1	2	yes	—
613	#394	C₂²×C₅₉	1	2	yes	—
614	#394	C₂²×C₅₉	1	2	yes	—
615	#393	C₂²×C₅₉	1	1	yes	characteristic
616	#392	C₂²×C₅₉	1	2	yes	—
617	#392	C₂²×C₅₉	1	2	yes	—
618	#391	C₂²×C₅₉	1	1	yes	characteristic
619	#391	C₂²×C₅₉	1	1	yes	characteristic
620	#391	C₂²×C₅₉	1	2	yes	—
621	#391	C₂²×C₅₉	1	1	yes	characteristic
622	#391	C₂²×C₅₉	1	1	yes	characteristic
623	#390	C₂²×C₅₉	1	1	yes	characteristic
624	#390	C₂²×C₅₉	1	1	yes	characteristic
625	#390	C₂²×C₅₉	1	1	yes	characteristic
626	#390	C₂²×C₅₉	1	1	yes	characteristic
627	#389	C₂²×C₅₉	1	1	yes	characteristic
628	#389	C₂²×C₅₉	1	1	yes	characteristic
629	#389	C₂²×C₅₉	1	2	yes	—
630	#389	C₂²×C₅₉	1	2	yes	—
631	#389	C₂²×C₅₉	1	2	yes	—
632	#388	C₂²×C₅₉	1	2	yes	—
633	#388	C₂²×C₅₉	1	2	yes	—
634	#388	C₂²×C₅₉	1	2	yes	—
635	#388	C₂²×C₅₉	1	2	yes	—
636	#388	C₂²×C₅₉	1	2	yes	—
637	#388	C₂²×C₅₉	1	2	yes	—
638	#388	C₂²×C₅₉	1	2	yes	—
639	#387	C₂²×C₅₉	1	2	yes	—
640	#387	C₂²×C₅₉	1	2	yes	—
641	#387	C₂²×C₅₉	1	2	yes	—
642	#386	C₂²×C₅₉	1	2	yes	—
643	#386	C₂²×C₅₉	1	2	yes	—
644	#386	C₂²×C₅₉	1	2	yes	—
645	#386	C₂²×C₅₉	1	2	yes	—
646	#385	C₂²×C₅₉	1	2	yes	—
647	#385	C₂²×C₅₉	1	2	yes	—
648	#385	C₂²×C₅₉	1	2	yes	—
649	#385	C₂²×C₅₉	1	2	yes	—
650	#385	C₂²×C₅₉	1	2	yes	—
651	#385	C₂²×C₅₉	1	2	yes	—
652	#384	C₂²×C₅₉	1	1	yes	characteristic
653	#381	C₂²×C₅₉	1	2	yes	—
654	#380	C₂²×C₅₉	1	2	yes	—
655	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
656	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
657	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
658	C₄×C₄⋊C₄	C₂²×C₅₉	1	2	yes	—
659	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
660	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
661	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
662	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
663	C₄×C₂²⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
664	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
665	C₅₉	#35778	1	1	yes	characteristic, direct product factor, Sylow
666	C₂×#41	—	2	4	no	—
667	C₂×#41	—	2	4	no	—
668	C₂×#41	—	2	4	no	—
669	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
670	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
671	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
672	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
673	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
674	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
675	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
676	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
677	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
678	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
679	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
680	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
681	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
682	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
683	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
684	C₄⋊Q₈	—	2	4	no	—
685	#127	—	2	4	no	—
686	#124	—	2	4	no	—
687	#124	—	2	4	no	—
688	#124	—	2	8	no	—
689	#124	—	2	4	no	—
690	#123	—	2	8	no	—
691	#123	—	2	8	no	—
692	#123	—	4	4	no	—
693	C₂²⋊Q₈	—	2	4	no	—
694	#121	—	2	4	no	—
695	C₄×Q₈	—	2	4	no	—
696	C₄×Q₈	—	2	4	no	—
697	C₄×Q₈	—	2	4	no	—
698	C₄×Q₈	—	2	4	no	—
699	C₄×D₄	—	2	4	no	—
700	C₄×D₄	—	2	8	no	—
701	C₄×D₄	—	2	8	no	—
702	C₄×D₄	—	2	4	no	—
703	C₄×D₄	—	2	8	no	—
704	C₄×D₄	—	4	4	no	—
705	C₄×D₄	D₄×C₅₉	1	8	yes	complemented
706	#117	—	2	8	no	—
707	#117	—	2	4	no	—
708	#117	—	4	4	no	—
709	C₂×C₄⋊C₄	—	2	8	no	—
710	C₂×C₄⋊C₄	—	2	4	no	—
711	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
712	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
713	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
714	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
716	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
717	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
718	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
720	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
723	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
724	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
725	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
727	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
728	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
730	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
731	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
732	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
736	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
737	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
738	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
739	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
742	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
753	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
755	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
762	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
763	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
764	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
765	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
766	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
767	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
768	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
769	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
770	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
771	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
772	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
773	#95	C₂³×C₅₉	1	1	yes	characteristic
774	#95	C₂³×C₅₉	1	2	yes	—
775	#95	C₂³×C₅₉	1	1	yes	characteristic
776	#95	C₂³×C₅₉	1	1	yes	characteristic
777	#95	C₂³×C₅₉	1	2	yes	—
778	#95	C₂³×C₅₉	1	1	yes	characteristic
779	#95	C₂³×C₅₉	1	1	yes	characteristic
780	#95	C₂³×C₅₉	1	2	yes	—
781	#95	C₂³×C₅₉	1	2	yes	—
782	#95	C₂³×C₅₉	1	2	yes	—
783	#95	C₂³×C₅₉	1	1	yes	characteristic
784	#95	C₂³×C₅₉	1	1	yes	characteristic
785	#95	C₂³×C₅₉	1	2	yes	—
786	#95	C₂³×C₅₉	1	1	yes	characteristic
787	#95	C₂³×C₅₉	1	2	yes	—
788	#95	C₂³×C₅₉	1	1	yes	characteristic
789	#95	C₂³×C₅₉	1	1	yes	characteristic
790	#95	C₂³×C₅₉	1	2	yes	—
791	#95	C₂³×C₅₉	1	2	yes	—
792	#95	C₂³×C₅₉	1	2	yes	—
793	#95	C₂³×C₅₉	1	2	yes	—
794	#95	C₂³×C₅₉	1	2	yes	—
795	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
796	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
797	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
798	#41	—	2	32	no	—
799	C₂×Q₈	—	2	2	no	—
800	C₂×Q₈	—	2	2	no	—
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	2	no	—
803	C₂×Q₈	—	2	2	no	—
804	C₂×Q₈	—	2	2	no	—
805	C₂×Q₈	—	2	2	no	—
806	C₂×Q₈	—	4	1	no	—
807	C₂×Q₈	#41×C₅₉	1	4	yes	—
808	C₂×D₄	—	2	4	no	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	2	4	no	—
812	C₂×D₄	—	2	4	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	2	4	no	—
815	C₂×D₄	—	2	2	no	—
816	C₂×D₄	—	2	2	no	—
817	C₂×D₄	—	2	2	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	4	no	—
820	C₂×D₄	—	4	2	no	—
821	C₂×D₄	—	4	2	no	—
822	C₂×D₄	—	4	2	no	—
823	C₂×D₄	—	4	2	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	C₂×D₄×C₅₉	1	4	yes	—
826	C₂²×C₄	—	2	4	no	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	2	4	no	—
829	C₂²×C₄	—	2	4	no	—
830	C₂²×C₄	—	2	2	no	—
831	C₂²×C₄	—	2	4	no	—
832	C₂²×C₄	—	2	4	no	—
833	C₂²×C₄	—	2	4	no	—
834	C₂²×C₄	—	4	2	no	—
835	C₂²×C₄	—	4	2	no	—
836	C₂²×C₄	—	4	2	no	—
837	C₂²×C₄	—	4	2	no	—
838	C₂²×C₄	—	4	2	no	—
839	C₂²×C₄	—	4	2	no	—
840	C₂²×C₄	—	4	2	no	—
841	C₂²×C₄	—	4	2	no	—
842	C₂²×C₄	C₂×D₄×C₅₉	1	8	yes	—
843	C₂²×C₄	#41×C₅₉	1	4	yes	—
844	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
846	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
847	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
848	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
849	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
850	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
851	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
852	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
854	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
856	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
857	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
859	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
860	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
862	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
864	C₄⋊C₄	—	2	4	no	—
865	C₄⋊C₄	—	2	2	no	—
866	C₄⋊C₄	—	2	4	no	—
867	C₄⋊C₄	—	2	4	no	—
868	C₄⋊C₄	—	2	2	no	—
869	C₄⋊C₄	—	2	2	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	4	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	4	no	—
877	C₄⋊C₄	—	2	4	no	—
878	C₄⋊C₄	—	2	4	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	4	2	no	—
883	C₄⋊C₄	—	4	2	no	—
884	C₄⋊C₄	—	4	2	no	—
885	C₄⋊C₄	—	4	2	no	—
886	C₄⋊C₄	—	4	1	no	—
887	C₄⋊C₄	—	4	1	no	—
888	C₄⋊C₄	—	4	1	no	—
889	C₄⋊C₄	C₂×D₄×C₅₉	1	4	yes	—
890	C₂²⋊C₄	—	2	4	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	4	no	—
893	C₂²⋊C₄	—	2	4	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	4	no	—
897	C₂²⋊C₄	—	2	4	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	4	no	—
900	C₂²⋊C₄	—	2	4	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	4	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	4	2	no	—
907	C₂²⋊C₄	—	4	2	no	—
908	C₂²⋊C₄	—	4	2	no	—
909	C₂²⋊C₄	—	4	1	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	2	no	—
912	C₂²⋊C₄	—	4	2	no	—
913	C₂²⋊C₄	—	4	1	no	—
914	C₂²⋊C₄	C₂×D₄×C₅₉	1	8	yes	—
915	C₄²	—	2	4	no	—
916	C₄²	—	2	4	no	—
917	C₄²	—	2	2	no	—
918	C₄²	—	2	4	no	—
919	C₄²	—	2	2	no	—
920	C₄²	—	2	2	no	—
921	C₄²	—	2	2	no	—
922	C₄²	—	2	2	no	—
923	C₄²	—	2	4	no	—
924	C₄²	—	4	2	no	—
925	C₄²	C₂×D₄×C₅₉	1	4	yes	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	2	no	—
928	C₂³	—	2	2	no	—
929	C₂³	—	2	1	no	—
930	C₂³	—	2	2	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	1	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	1	no	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	2	2	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	2	no	—
945	C₂³	C₂²×D₄×C₅₉	1	4	yes	—
946	C₂³	C₂×#41×C₅₉	1	2	yes	—
947	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
948	Q₈	—	2	8	no	—
949	Q₈	—	4	4	no	—
950	Q₈	—	4	4	no	—
951	D₄	—	2	16	no	—
952	D₄	—	2	8	no	—
953	D₄	—	4	8	no	—
954	D₄	—	4	8	no	—
955	D₄	—	4	4	no	—
956	D₄	—	8	4	no	—
957	C₂×C₄	—	2	16	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	1	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	8	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	2	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	4	8	no	—
1010	C₂×C₄	—	8	4	no	—
1011	C₂×C₄	—	8	4	no	—
1012	C₂×C₄	—	8	4	no	—
1013	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1014	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
1015	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1016	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
1017	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1018	C₂×C₄	C₂×#41×C₅₉	1	4	yes	—
1019	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1020	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
1021	C₂×C₄	H(5,𝔽₂)×C₅₉	1	2	yes	—
1022	C₂×C₄	2₋¹⁺⁴×C₅₉	1	2	yes	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	2	no	—
1025	C₂²	—	2	4	no	—
1026	C₂²	—	2	2	no	—
1027	C₂²	—	2	4	no	—
1028	C₂²	—	2	4	no	—
1029	C₂²	—	4	2	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	2	no	—
1032	C₂²	—	4	1	no	—
1033	C₂²	—	4	2	no	—
1034	C₂²	—	4	1	no	—
1035	C₂²	—	4	1	no	—
1036	C₂²	—	4	1	no	—
1037	C₂²	—	4	2	no	—
1038	C₂²	—	4	2	no	—
1039	C₂²	—	4	2	no	—
1040	C₂²	—	4	2	no	—
1041	C₂²	—	4	2	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
1045	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1046	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
1047	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	1	yes	characteristic
1048	C₂²	C₂×2₋¹⁺⁴×C₅₉	1	1	yes	characteristic
1049	C₂²	C₅₉×#585	1	1	yes	characteristic
1050	C₂²	C₅₉×#585	1	1	yes	characteristic
1051	C₄	—	2	2	no	—
1052	C₄	—	2	2	no	—
1053	C₄	—	2	4	no	—
1054	C₄	—	2	2	no	—
1055	C₄	—	2	2	no	—
1056	C₄	—	2	2	no	—
1057	C₄	—	2	4	no	—
1058	C₄	—	4	2	no	—
1059	C₄	—	4	2	no	—
1060	C₄	—	4	1	no	—
1061	C₄	—	4	1	no	—
1062	C₄	—	4	1	no	—
1063	C₄	—	4	2	no	—
1064	C₄	—	4	1	no	—
1065	C₄	—	4	1	no	—
1066	C₄	—	4	1	no	—
1067	C₄	—	4	2	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	1	no	—
1070	C₄	C₅₉×#525	1	4	yes	—
1071	C₂	—	4	2	no	—
1072	C₂	—	4	4	no	—
1073	C₂	—	8	2	no	—
1074	C₂	C₂×C₅₉×#525	1	1	yes	characteristic
1075	C₂	C₅₉×#3489	1	1	yes	characteristic
1076	C₂	C₅₉×#3496	1	1	yes	characteristic
1077	C₂	C₅₉×#3506	1	1	yes	characteristic
1078	C₂	C₅₉×#3507	1	1	yes	characteristic
1079	C₂	C₅₉×#3522	1	1	yes	characteristic
1080	C₂	C₅₉×#3524	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₉
prime radical	C₅₉×#2431	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₅₉×#559	C₂	semidirect
2. C₂×C₅₉×#520	C₂	semidirect
3. C₅₉×#2630	C₂	semidirect
4. C₅₉×#2620	C₂	semidirect
5. C₅₉×#2582	C₂	semidirect
6. C₅₉×#2579	C₂	semidirect
7. C₅₉×#2545	C₂	semidirect
8. C₅₉×#2474	C₂	semidirect
9. C₅₉×#2470	C₂	semidirect
10. C₅₉×#2459	C₂	semidirect
11. C₅₉×#2455	C₂	semidirect
12. C₅₉×#2447	C₂	semidirect
13. C₅₉×#2445	C₂	semidirect
14. C₅₉×#2432	C₂	semidirect
16. C₅₉×#2413	C₂	semidirect
17. C₅₉×#2396	C₂	semidirect
18. C₅₉×#2392	C₂	semidirect
19. C₅₉×#2367	C₂	semidirect
20. C₅₉×#2365	C₂	semidirect
21. C₅₉×#2361	C₂	semidirect
22. C₅₉×#2360	C₂	semidirect
23. C₅₉×#2354	C₂	semidirect
164. C₄×D₄×C₅₉	D₄	semidirect
482. #35778	C₅₉	direct (N × H)
531. C₂×#559	C₂×C₅₉	semidirect
532. C₂×#520	C₂×C₅₉	semidirect
533. #2630	C₂×C₅₉	semidirect
534. #2620	C₂×C₅₉	semidirect
535. #2582	C₂×C₅₉	semidirect
536. #2579	C₂×C₅₉	semidirect
537. #2545	C₂×C₅₉	semidirect
538. #2474	C₂×C₅₉	semidirect
539. #2470	C₂×C₅₉	semidirect
540. #2459	C₂×C₅₉	semidirect
541. #2455	C₂×C₅₉	semidirect
542. #2447	C₂×C₅₉	semidirect
543. #2445	C₂×C₅₉	semidirect
544. #2432	C₂×C₅₉	semidirect
546. #2413	C₂×C₅₉	semidirect
547. #2396	C₂×C₅₉	semidirect
548. #2392	C₂×C₅₉	semidirect
549. #2367	C₂×C₅₉	semidirect
550. #2365	C₂×C₅₉	semidirect
551. #2361	C₂×C₅₉	semidirect
552. #2360	C₂×C₅₉	semidirect
553. #2354	C₂×C₅₉	semidirect
665. C₅₉	#35778	direct (N × H)
705. C₄×D₄	D₄×C₅₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅₉×#559	2
C₂×C₅₉×#520	2
C₅₉×#2630	2
C₅₉×#2620	2
C₅₉×#2582	2
C₅₉×#2579	2
C₅₉×#2545	2
C₅₉×#2474	2
C₅₉×#2470	2
C₅₉×#2459	2
C₅₉×#2455	2
C₅₉×#2447	2
C₅₉×#2445	2
C₅₉×#2432	2
C₅₉×#2431	2
C₅₉×#2413	2
C₅₉×#2396	2
C₅₉×#2392	2
C₅₉×#2367	2
C₅₉×#2365	2
C₅₉×#2361	2
C₅₉×#2360	2
C₅₉×#2354	2
#35778	59

Subgroups — C59×#35778 #28447887

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35778 #28447887