Subgroups — C₅₉×#35310 #28447419

Order 15104.

2346 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₉×#541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#117×C₅₉	C₂	1	1	yes	maximal, characteristic
3	C₅₉×#2857	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₉×#2851	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2848	C₂	1	2	yes	maximal
6	C₅₉×#2629	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₉×#2625	C₂	1	2	yes	maximal, complemented
8	C₅₉×#2621	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#2480	C₂	1	4	yes	maximal
10	C₅₉×#2478	C₂	1	4	yes	maximal, complemented
11	C₅₉×#2475	C₂	1	4	yes	maximal, complemented
12	C₅₉×#2473	C₂	1	4	yes	maximal, complemented
13	C₅₉×#2323	C₂	1	2	yes	maximal, complemented
14	C₅₉×#2314	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₂²⋊Q₈×C₅₉	C₂	1	2	yes	maximal, complemented
16	C₂⁴×C₄×C₅₉	C₂²	1	1	yes	characteristic
17	C₅₉×#541	—	2	8	no	—
18	C₂×C₄⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic, complemented
19	C₂×#126×C₅₉	C₂²	1	4	yes	—
20	C₂×#125×C₅₉	C₂²	1	1	yes	characteristic, complemented
21	C₂×#125×C₅₉	C₂²	1	4	yes	complemented
22	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	2	yes	—
23	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	2	yes	—
24	C₂×C₂²⋊Q₈×C₅₉	C₂²	1	2	yes	—
25	C₂×C₄×Q₈×C₅₉	C₂²	1	2	yes	complemented
26	C₂×#117×C₅₉	—	2	8	no	—
27	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
28	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
29	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
30	C₂×#117×C₅₉	C₂²	1	2	yes	—
31	C₂×#117×C₅₉	C₂²	1	2	yes	—
32	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
33	C₂²×C₄⋊C₄×C₅₉	C₂²	1	2	yes	—
34	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
35	C₂²×C₄²×C₅₉	C₂²	1	1	yes	characteristic
36	C₂²×C₄²×C₅₉	C₂²	1	1	yes	characteristic
37	C₅₉×#400	C₂²	1	4	yes	complemented
38	C₅₉×#398	C₂²	1	4	yes	complemented
39	C₅₉×#398	C₂²	1	4	yes	complemented
40	C₅₉×#398	C₂²	1	4	yes	complemented
41	C₅₉×#397	C₂²	1	4	yes	—
42	C₅₉×#397	C₂²	1	4	yes	—
43	C₅₉×#397	C₂²	1	4	yes	—
44	C₅₉×#396	C₂²	1	4	yes	—
45	C₅₉×#391	C₂²	1	2	yes	complemented
46	C₅₉×#391	C₂²	1	2	yes	complemented
47	C₅₉×#389	C₂²	1	2	yes	complemented
48	C₅₉×#389	C₂²	1	2	yes	complemented
49	C₅₉×#389	C₂²	1	4	yes	complemented
50	C₅₉×#389	C₂²	1	4	yes	complemented
51	C₅₉×#388	C₂²	1	4	yes	—
52	C₅₉×#388	C₂²	1	4	yes	—
53	C₅₉×#388	C₂²	1	4	yes	—
54	C₅₉×#387	C₂²	1	4	yes	complemented
55	C₅₉×#387	C₂²	1	4	yes	complemented
56	C₅₉×#387	C₂²	1	4	yes	complemented
57	C₅₉×#387	C₂²	1	4	yes	complemented
58	C₅₉×#385	C₂²	1	4	yes	—
59	C₅₉×#385	C₂²	1	4	yes	—
60	C₅₉×#385	C₂²	1	4	yes	—
61	C₅₉×#385	C₂²	1	4	yes	—
62	C₅₉×#385	C₂²	1	4	yes	—
63	C₅₉×#384	C₂²	1	1	yes	characteristic, complemented
64	C₅₉×#382	C₂²	1	1	yes	characteristic, complemented
65	C₅₉×#380	C₂²	1	2	yes	—
66	C₅₉×#380	C₂²	1	2	yes	—
67	C₅₉×#380	C₂²	1	2	yes	—
68	C₅₉×#380	C₂²	1	4	yes	—
69	C₅₉×#379	C₂²	1	4	yes	—
70	C₄×C₄⋊C₄×C₅₉	C₂²	1	2	yes	complemented
71	C₄×C₄⋊C₄×C₅₉	C₂²	1	4	yes	complemented
72	C₄×C₂²⋊C₄×C₅₉	C₂²	1	4	yes	—
73	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
74	C₂²×Q₈×C₅₉	C₂³	1	2	yes	—
75	C₂³×C₄×C₅₉	—	2	4	no	—
76	C₂³×C₄×C₅₉	—	2	4	no	—
77	C₂³×C₄×C₅₉	—	2	4	no	—
78	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
79	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
80	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
81	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
82	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
83	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
86	C₄⋊Q₈×C₅₉	—	2	4	no	—
87	#126×C₅₉	—	2	16	no	—
88	#125×C₅₉	—	2	16	no	—
89	#125×C₅₉	—	2	4	no	—
90	C₂²⋊Q₈×C₅₉	—	2	8	no	—
91	C₂²⋊Q₈×C₅₉	—	2	8	no	—
92	C₂²⋊Q₈×C₅₉	—	2	8	no	—
93	C₄×Q₈×C₅₉	—	2	8	no	—
94	#117×C₅₉	—	2	4	no	—
95	#117×C₅₉	—	2	8	no	—
96	#117×C₅₉	—	2	8	no	—
97	#117×C₅₉	—	2	4	no	—
98	#117×C₅₉	—	2	4	no	—
99	#117×C₅₉	D₄	1	8	yes	—
100	C₂×C₄⋊C₄×C₅₉	—	2	8	no	—
101	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
102	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
103	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
104	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
105	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
106	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
107	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
108	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
109	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
110	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
111	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
112	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
113	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
114	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
115	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
116	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
117	C₂×C₂²⋊C₄×C₅₉	—	2	8	no	—
118	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
119	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
120	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
121	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
122	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
123	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
124	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
125	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
126	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
127	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
128	C₂×C₄²×C₅₉	—	2	4	no	—
129	C₂×C₄²×C₅₉	—	2	4	no	—
130	C₂×C₄²×C₅₉	C₂³	1	4	yes	—
131	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
132	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
133	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
134	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
135	C₂×C₄²×C₅₉	C₂³	1	4	yes	—
136	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
137	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
138	#95×C₅₉	C₂³	1	4	yes	—
139	#95×C₅₉	C₂³	1	4	yes	—
140	#95×C₅₉	C₂³	1	4	yes	—
141	#95×C₅₉	C₂³	1	4	yes	—
142	#95×C₅₉	C₂³	1	4	yes	—
143	#95×C₅₉	C₂³	1	4	yes	—
144	#95×C₅₉	C₂³	1	4	yes	—
145	#95×C₅₉	C₂³	1	4	yes	—
146	#95×C₅₉	C₂³	1	4	yes	—
147	#95×C₅₉	C₂³	1	4	yes	—
148	#95×C₅₉	C₂³	1	4	yes	—
149	C₂⁴×C₅₉	—	2	2	no	—
150	C₂⁴×C₅₉	—	2	2	no	—
151	C₂⁴×C₅₉	—	2	2	no	—
152	C₂⁴×C₅₉	—	2	4	no	—
153	C₂⁴×C₅₉	—	4	2	no	—
154	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
155	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
156	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
157	C₂×Q₈×C₅₉	—	2	4	no	—
158	C₂×Q₈×C₅₉	—	2	4	no	—
159	C₂×Q₈×C₅₉	—	2	4	no	—
160	C₂²×C₄×C₅₉	—	2	32	no	—
161	C₂²×C₄×C₅₉	—	2	2	no	—
162	C₂²×C₄×C₅₉	—	2	2	no	—
163	C₂²×C₄×C₅₉	—	2	2	no	—
164	C₂²×C₄×C₅₉	—	2	2	no	—
165	C₂²×C₄×C₅₉	—	2	2	no	—
166	C₂²×C₄×C₅₉	—	2	2	no	—
167	C₂²×C₄×C₅₉	—	2	2	no	—
168	C₂²×C₄×C₅₉	—	2	2	no	—
169	C₂²×C₄×C₅₉	—	2	2	no	—
170	C₂²×C₄×C₅₉	—	2	2	no	—
171	C₂²×C₄×C₅₉	—	2	2	no	—
172	C₂²×C₄×C₅₉	—	2	2	no	—
173	C₂²×C₄×C₅₉	—	2	2	no	—
174	C₂²×C₄×C₅₉	—	2	2	no	—
175	C₂²×C₄×C₅₉	—	2	2	no	—
176	C₂²×C₄×C₅₉	—	2	4	no	—
177	C₂²×C₄×C₅₉	—	2	4	no	—
178	C₂²×C₄×C₅₉	—	2	4	no	—
179	C₂²×C₄×C₅₉	—	2	4	no	—
180	C₂²×C₄×C₅₉	—	4	2	no	—
181	C₂²×C₄×C₅₉	—	4	2	no	—
182	C₂²×C₄×C₅₉	C₂×D₄	1	4	yes	—
183	C₂²×C₄×C₅₉	#41	1	4	yes	—
184	C₂²×C₄×C₅₉	#41	1	4	yes	—
185	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
186	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
187	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
188	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
189	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
190	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
191	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
192	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
193	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
194	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
195	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
196	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
197	C₄⋊C₄×C₅₉	—	2	4	no	—
198	C₄⋊C₄×C₅₉	—	2	4	no	—
199	C₄⋊C₄×C₅₉	—	2	4	no	—
200	C₄⋊C₄×C₅₉	—	2	4	no	—
201	C₄⋊C₄×C₅₉	—	2	8	no	—
202	C₄⋊C₄×C₅₉	—	2	8	no	—
203	C₄⋊C₄×C₅₉	—	2	8	no	—
204	C₄⋊C₄×C₅₉	—	2	8	no	—
205	C₄⋊C₄×C₅₉	—	2	4	no	—
206	C₄⋊C₄×C₅₉	—	2	4	no	—
207	C₄⋊C₄×C₅₉	—	2	8	no	—
208	C₄⋊C₄×C₅₉	—	2	8	no	—
209	C₄⋊C₄×C₅₉	—	4	4	no	—
210	C₄⋊C₄×C₅₉	—	4	4	no	—
211	C₄⋊C₄×C₅₉	—	4	4	no	—
212	C₄⋊C₄×C₅₉	C₂×D₄	1	8	yes	—
213	C₂²⋊C₄×C₅₉	—	2	4	no	—
214	C₂²⋊C₄×C₅₉	—	2	8	no	—
215	C₂²⋊C₄×C₅₉	—	2	8	no	—
216	C₂²⋊C₄×C₅₉	—	2	8	no	—
217	C₂²⋊C₄×C₅₉	—	2	8	no	—
218	C₂²⋊C₄×C₅₉	—	2	4	no	—
219	C₂²⋊C₄×C₅₉	—	2	4	no	—
220	C₂²⋊C₄×C₅₉	—	4	4	no	—
221	C₂²⋊C₄×C₅₉	—	4	4	no	—
222	C₂²⋊C₄×C₅₉	C₂×D₄	1	8	yes	—
223	C₄²×C₅₉	—	2	4	no	—
224	C₄²×C₅₉	—	2	4	no	—
225	C₄²×C₅₉	—	2	2	no	—
226	C₄²×C₅₉	—	2	2	no	—
227	C₄²×C₅₉	—	2	8	no	—
228	C₄²×C₅₉	—	4	4	no	—
229	C₄²×C₅₉	C₂×D₄	1	4	yes	—
230	C₄²×C₅₉	C₂×D₄	1	4	yes	—
231	C₂³×C₅₉	—	2	1	no	—
232	C₂³×C₅₉	—	2	1	no	—
233	C₂³×C₅₉	—	2	2	no	—
234	C₂³×C₅₉	—	2	8	no	—
235	C₂³×C₅₉	—	2	1	no	—
236	C₂³×C₅₉	—	2	1	no	—
237	C₂³×C₅₉	—	2	1	no	—
238	C₂³×C₅₉	—	2	1	no	—
239	C₂³×C₅₉	—	2	2	no	—
240	C₂³×C₅₉	—	2	2	no	—
241	C₂³×C₅₉	—	2	2	no	—
242	C₂³×C₅₉	—	2	2	no	—
243	C₂³×C₅₉	—	4	8	no	—
244	C₂³×C₅₉	—	4	8	no	—
245	C₂³×C₅₉	—	4	4	no	—
246	C₂³×C₅₉	—	4	4	no	—
247	C₂³×C₅₉	C₂²×D₄	1	2	yes	—
248	C₂³×C₅₉	C₂×#41	1	2	yes	—
249	C₂³×C₅₉	C₂×#41	1	2	yes	—
250	C₂³×C₅₉	2₋¹⁺⁴	1	4	yes	—
251	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
252	Q₈×C₅₉	—	4	8	no	—
253	C₂×C₄×C₅₉	—	2	8	no	—
254	C₂×C₄×C₅₉	—	2	8	no	—
255	C₂×C₄×C₅₉	—	2	8	no	—
256	C₂×C₄×C₅₉	—	2	1	no	—
257	C₂×C₄×C₅₉	—	2	1	no	—
258	C₂×C₄×C₅₉	—	2	1	no	—
259	C₂×C₄×C₅₉	—	2	1	no	—
260	C₂×C₄×C₅₉	—	2	1	no	—
261	C₂×C₄×C₅₉	—	2	1	no	—
262	C₂×C₄×C₅₉	—	2	2	no	—
263	C₂×C₄×C₅₉	—	2	2	no	—
264	C₂×C₄×C₅₉	—	2	2	no	—
265	C₂×C₄×C₅₉	—	2	2	no	—
266	C₂×C₄×C₅₉	—	2	8	no	—
267	C₂×C₄×C₅₉	—	2	8	no	—
268	C₂×C₄×C₅₉	—	2	8	no	—
269	C₂×C₄×C₅₉	—	2	2	no	—
270	C₂×C₄×C₅₉	—	2	2	no	—
271	C₂×C₄×C₅₉	—	2	4	no	—
272	C₂×C₄×C₅₉	—	2	4	no	—
273	C₂×C₄×C₅₉	—	2	4	no	—
274	C₂×C₄×C₅₉	—	2	4	no	—
275	C₂×C₄×C₅₉	—	2	4	no	—
276	C₂×C₄×C₅₉	—	2	4	no	—
277	C₂×C₄×C₅₉	—	2	4	no	—
278	C₂×C₄×C₅₉	—	2	4	no	—
279	C₂×C₄×C₅₉	—	2	2	no	—
280	C₂×C₄×C₅₉	—	2	2	no	—
281	C₂×C₄×C₅₉	—	2	4	no	—
282	C₂×C₄×C₅₉	—	2	4	no	—
283	C₂×C₄×C₅₉	—	2	4	no	—
284	C₂×C₄×C₅₉	—	2	4	no	—
285	C₂×C₄×C₅₉	—	2	2	no	—
286	C₂×C₄×C₅₉	—	2	2	no	—
287	C₂×C₄×C₅₉	—	4	8	no	—
288	C₂×C₄×C₅₉	—	4	8	no	—
289	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
290	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
291	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
292	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
293	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
294	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
295	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
296	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
297	#35310	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
298	C₂²×C₅₉	—	2	2	no	—
299	C₂²×C₅₉	—	2	2	no	—
300	C₂²×C₅₉	—	2	4	no	—
301	C₂²×C₅₉	—	2	4	no	—
302	C₂²×C₅₉	—	2	2	no	—
303	C₂²×C₅₉	—	2	2	no	—
304	C₂²×C₅₉	—	2	4	no	—
305	C₂²×C₅₉	—	2	4	no	—
306	C₂²×C₅₉	—	4	16	no	—
307	C₂²×C₅₉	—	4	1	no	—
308	C₂²×C₅₉	—	4	1	no	—
309	C₂²×C₅₉	—	4	1	no	—
310	C₂²×C₅₉	—	4	1	no	—
311	C₂²×C₅₉	—	4	2	no	—
312	C₂²×C₅₉	—	4	2	no	—
313	C₂²×C₅₉	#541	1	4	yes	complemented
314	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
315	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
316	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
317	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	2	yes	—
318	C₂²×C₅₉	#585	1	2	yes	—
319	C₄×C₅₉	—	2	2	no	—
320	C₄×C₅₉	—	2	2	no	—
321	C₄×C₅₉	—	2	2	no	—
322	C₄×C₅₉	—	2	4	no	—
323	C₄×C₅₉	—	2	4	no	—
324	C₄×C₅₉	—	4	4	no	—
325	C₄×C₅₉	—	4	4	no	—
326	C₄×C₅₉	—	4	4	no	—
327	C₄×C₅₉	—	4	2	no	—
328	C₄×C₅₉	—	4	2	no	—
329	C₄×C₅₉	—	4	4	no	—
330	C₄×C₅₉	#525	1	4	yes	—
331	C₂×#541	C₂×C₅₉	1	1	yes	characteristic, complemented
332	C₂²×#117	C₂×C₅₉	1	1	yes	characteristic
333	#2857	C₂×C₅₉	1	1	yes	characteristic, complemented
334	#2851	C₂×C₅₉	1	1	yes	characteristic, complemented
335	#2848	C₂×C₅₉	1	2	yes	—
336	#2629	C₂×C₅₉	1	1	yes	characteristic, complemented
337	#2625	C₂×C₅₉	1	2	yes	complemented
338	#2621	C₂×C₅₉	1	1	yes	characteristic, complemented
339	#2480	C₂×C₅₉	1	4	yes	—
340	#2478	C₂×C₅₉	1	4	yes	complemented
341	#2475	C₂×C₅₉	1	4	yes	complemented
342	#2473	C₂×C₅₉	1	4	yes	complemented
343	#2323	C₂×C₅₉	1	2	yes	complemented
344	#2314	C₂×C₅₉	1	1	yes	characteristic, complemented
345	C₄×C₂²⋊Q₈	C₂×C₅₉	1	2	yes	complemented
346	C₂×C₅₉	—	2	4	no	—
347	C₂×C₅₉	—	4	2	no	—
348	C₂×C₅₉	—	4	2	no	—
349	C₂×C₅₉	C₂×#525	1	1	yes	characteristic
350	C₂×C₅₉	C₂×#541	1	1	yes	characteristic
351	C₂×C₅₉	#3455	1	1	yes	characteristic
352	C₂×C₅₉	#3489	1	2	yes	—
353	C₂×C₅₉	#3495	1	2	yes	—
354	C₂⁴×C₄	C₂²×C₅₉	1	1	yes	characteristic
355	#541	—	2	8	no	—
356	C₂×C₄⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic, complemented
357	C₂×#126	C₂²×C₅₉	1	4	yes	—
358	C₂×#125	C₂²×C₅₉	1	1	yes	characteristic, complemented
359	C₂×#125	C₂²×C₅₉	1	4	yes	complemented
360	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	2	yes	—
361	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	2	yes	—
362	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	2	yes	—
363	C₂×C₄×Q₈	C₂²×C₅₉	1	2	yes	complemented
364	C₂×#117	—	2	8	no	—
365	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
366	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
367	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
368	C₂×#117	C₂²×C₅₉	1	2	yes	—
369	C₂×#117	C₂²×C₅₉	1	2	yes	—
370	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
371	C₂²×C₄⋊C₄	C₂²×C₅₉	1	2	yes	—
372	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
373	C₂²×C₄²	C₂²×C₅₉	1	1	yes	characteristic
374	C₂²×C₄²	C₂²×C₅₉	1	1	yes	characteristic
375	#400	C₂²×C₅₉	1	4	yes	complemented
376	#398	C₂²×C₅₉	1	4	yes	complemented
377	#398	C₂²×C₅₉	1	4	yes	complemented
378	#398	C₂²×C₅₉	1	4	yes	complemented
379	#397	C₂²×C₅₉	1	4	yes	—
380	#397	C₂²×C₅₉	1	4	yes	—
381	#397	C₂²×C₅₉	1	4	yes	—
382	#396	C₂²×C₅₉	1	4	yes	—
383	#391	C₂²×C₅₉	1	2	yes	complemented
384	#391	C₂²×C₅₉	1	2	yes	complemented
385	#389	C₂²×C₅₉	1	2	yes	complemented
386	#389	C₂²×C₅₉	1	4	yes	complemented
387	#389	C₂²×C₅₉	1	4	yes	complemented
388	#389	C₂²×C₅₉	1	2	yes	complemented
389	#388	C₂²×C₅₉	1	4	yes	—
390	#388	C₂²×C₅₉	1	4	yes	—
391	#388	C₂²×C₅₉	1	4	yes	—
392	#387	C₂²×C₅₉	1	4	yes	complemented
393	#387	C₂²×C₅₉	1	4	yes	complemented
394	#387	C₂²×C₅₉	1	4	yes	complemented
395	#387	C₂²×C₅₉	1	4	yes	complemented
396	#385	C₂²×C₅₉	1	4	yes	—
397	#385	C₂²×C₅₉	1	4	yes	—
398	#385	C₂²×C₅₉	1	4	yes	—
399	#385	C₂²×C₅₉	1	4	yes	—
400	#385	C₂²×C₅₉	1	4	yes	—
401	#384	C₂²×C₅₉	1	1	yes	characteristic, complemented
402	#382	C₂²×C₅₉	1	1	yes	characteristic, complemented
403	#380	C₂²×C₅₉	1	2	yes	—
404	#380	C₂²×C₅₉	1	2	yes	—
405	#380	C₂²×C₅₉	1	2	yes	—
406	#380	C₂²×C₅₉	1	4	yes	—
407	#379	C₂²×C₅₉	1	4	yes	—
408	C₄×C₄⋊C₄	C₂²×C₅₉	1	2	yes	complemented
409	C₄×C₄⋊C₄	C₂²×C₅₉	1	4	yes	complemented
410	C₄×C₂²⋊C₄	C₂²×C₅₉	1	4	yes	—
411	C₅₉	#35310	1	1	yes	characteristic, direct product factor, Sylow
412	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
413	C₂²×Q₈	C₂³×C₅₉	1	2	yes	—
414	C₂³×C₄	—	2	4	no	—
415	C₂³×C₄	—	2	4	no	—
416	C₂³×C₄	—	2	4	no	—
417	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
418	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
419	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
420	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
421	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
422	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
423	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
424	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
425	C₄⋊Q₈	—	2	4	no	—
426	#126	—	2	16	no	—
427	#125	—	2	16	no	—
428	#125	—	2	4	no	—
429	C₂²⋊Q₈	—	2	8	no	—
430	C₂²⋊Q₈	—	2	8	no	—
431	C₂²⋊Q₈	—	2	8	no	—
432	C₄×Q₈	—	2	8	no	—
433	#117	—	2	4	no	—
434	#117	—	2	8	no	—
435	#117	—	2	8	no	—
436	#117	—	2	4	no	—
437	#117	—	2	4	no	—
438	#117	D₄×C₅₉	1	8	yes	—
439	C₂×C₄⋊C₄	—	2	8	no	—
440	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
441	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
442	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
443	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
444	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
445	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
446	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
447	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
448	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
449	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
450	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
451	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
452	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
453	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
454	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
455	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
456	C₂×C₂²⋊C₄	—	2	8	no	—
457	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
458	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
459	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
460	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
461	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
462	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
463	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
464	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
466	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
467	C₂×C₄²	—	2	4	no	—
468	C₂×C₄²	—	2	4	no	—
469	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
470	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
471	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
472	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
473	C₂×C₄²	C₂³×C₅₉	1	4	yes	—
474	C₂×C₄²	C₂³×C₅₉	1	4	yes	—
475	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
476	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
477	#95	C₂³×C₅₉	1	4	yes	—
478	#95	C₂³×C₅₉	1	4	yes	—
479	#95	C₂³×C₅₉	1	4	yes	—
480	#95	C₂³×C₅₉	1	4	yes	—
481	#95	C₂³×C₅₉	1	4	yes	—
482	#95	C₂³×C₅₉	1	4	yes	—
483	#95	C₂³×C₅₉	1	4	yes	—
484	#95	C₂³×C₅₉	1	4	yes	—
485	#95	C₂³×C₅₉	1	4	yes	—
486	#95	C₂³×C₅₉	1	4	yes	—
487	#95	C₂³×C₅₉	1	4	yes	—
488	C₂⁴	—	2	2	no	—
489	C₂⁴	—	2	2	no	—
490	C₂⁴	—	2	2	no	—
491	C₂⁴	—	2	4	no	—
492	C₂⁴	—	4	2	no	—
493	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
494	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
495	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
496	C₂×Q₈	—	2	4	no	—
497	C₂×Q₈	—	2	4	no	—
498	C₂×Q₈	—	2	4	no	—
499	C₂²×C₄	—	2	32	no	—
500	C₂²×C₄	—	2	2	no	—
501	C₂²×C₄	—	2	2	no	—
502	C₂²×C₄	—	2	2	no	—
503	C₂²×C₄	—	2	2	no	—
504	C₂²×C₄	—	2	2	no	—
505	C₂²×C₄	—	2	2	no	—
506	C₂²×C₄	—	2	2	no	—
507	C₂²×C₄	—	2	2	no	—
508	C₂²×C₄	—	2	2	no	—
509	C₂²×C₄	—	2	2	no	—
510	C₂²×C₄	—	2	2	no	—
511	C₂²×C₄	—	2	2	no	—
512	C₂²×C₄	—	2	2	no	—
513	C₂²×C₄	—	2	2	no	—
514	C₂²×C₄	—	2	2	no	—
515	C₂²×C₄	—	2	4	no	—
516	C₂²×C₄	—	2	4	no	—
517	C₂²×C₄	—	2	4	no	—
518	C₂²×C₄	—	2	4	no	—
519	C₂²×C₄	—	4	2	no	—
520	C₂²×C₄	—	4	2	no	—
521	C₂²×C₄	C₂×D₄×C₅₉	1	4	yes	—
522	C₂²×C₄	#41×C₅₉	1	4	yes	—
523	C₂²×C₄	#41×C₅₉	1	4	yes	—
524	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
525	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
526	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
527	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
528	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
529	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
530	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
531	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
532	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
533	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
534	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
536	C₄⋊C₄	—	2	4	no	—
537	C₄⋊C₄	—	2	4	no	—
538	C₄⋊C₄	—	2	4	no	—
539	C₄⋊C₄	—	2	4	no	—
540	C₄⋊C₄	—	2	8	no	—
541	C₄⋊C₄	—	2	8	no	—
542	C₄⋊C₄	—	2	8	no	—
543	C₄⋊C₄	—	2	8	no	—
544	C₄⋊C₄	—	2	4	no	—
545	C₄⋊C₄	—	2	4	no	—
546	C₄⋊C₄	—	2	8	no	—
547	C₄⋊C₄	—	2	8	no	—
548	C₄⋊C₄	—	4	4	no	—
549	C₄⋊C₄	—	4	4	no	—
550	C₄⋊C₄	—	4	4	no	—
551	C₄⋊C₄	C₂×D₄×C₅₉	1	8	yes	—
552	C₂²⋊C₄	—	2	4	no	—
553	C₂²⋊C₄	—	2	8	no	—
554	C₂²⋊C₄	—	2	8	no	—
555	C₂²⋊C₄	—	2	8	no	—
556	C₂²⋊C₄	—	2	8	no	—
557	C₂²⋊C₄	—	2	4	no	—
558	C₂²⋊C₄	—	2	4	no	—
559	C₂²⋊C₄	—	4	4	no	—
560	C₂²⋊C₄	—	4	4	no	—
561	C₂²⋊C₄	C₂×D₄×C₅₉	1	8	yes	—
562	C₄²	—	2	4	no	—
563	C₄²	—	2	4	no	—
564	C₄²	—	2	2	no	—
565	C₄²	—	2	2	no	—
566	C₄²	—	2	8	no	—
567	C₄²	—	4	4	no	—
568	C₄²	C₂×D₄×C₅₉	1	4	yes	—
569	C₄²	C₂×D₄×C₅₉	1	4	yes	—
570	C₂³	—	2	1	no	—
571	C₂³	—	2	1	no	—
572	C₂³	—	2	2	no	—
573	C₂³	—	2	8	no	—
574	C₂³	—	2	1	no	—
575	C₂³	—	2	1	no	—
576	C₂³	—	2	1	no	—
577	C₂³	—	2	1	no	—
578	C₂³	—	2	2	no	—
579	C₂³	—	2	2	no	—
580	C₂³	—	2	2	no	—
581	C₂³	—	2	2	no	—
582	C₂³	—	4	8	no	—
583	C₂³	—	4	8	no	—
584	C₂³	—	4	4	no	—
585	C₂³	—	4	4	no	—
586	C₂³	C₂²×D₄×C₅₉	1	2	yes	—
587	C₂³	C₂×#41×C₅₉	1	2	yes	—
588	C₂³	C₂×#41×C₅₉	1	2	yes	—
589	C₂³	2₋¹⁺⁴×C₅₉	1	4	yes	—
590	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
591	Q₈	—	4	8	no	—
592	C₂×C₄	—	2	8	no	—
593	C₂×C₄	—	2	8	no	—
594	C₂×C₄	—	2	8	no	—
595	C₂×C₄	—	2	1	no	—
596	C₂×C₄	—	2	1	no	—
597	C₂×C₄	—	2	1	no	—
598	C₂×C₄	—	2	1	no	—
599	C₂×C₄	—	2	1	no	—
600	C₂×C₄	—	2	1	no	—
601	C₂×C₄	—	2	2	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	2	2	no	—
604	C₂×C₄	—	2	2	no	—
605	C₂×C₄	—	2	8	no	—
606	C₂×C₄	—	2	8	no	—
607	C₂×C₄	—	2	8	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	2	2	no	—
610	C₂×C₄	—	2	4	no	—
611	C₂×C₄	—	2	4	no	—
612	C₂×C₄	—	2	4	no	—
613	C₂×C₄	—	2	4	no	—
614	C₂×C₄	—	2	4	no	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	4	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	4	no	—
622	C₂×C₄	—	2	4	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	4	8	no	—
627	C₂×C₄	—	4	8	no	—
628	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
629	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
630	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
631	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
632	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
633	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
634	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
635	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
636	C₂²	—	2	2	no	—
637	C₂²	—	2	2	no	—
638	C₂²	—	2	4	no	—
639	C₂²	—	2	4	no	—
640	C₂²	—	2	2	no	—
641	C₂²	—	2	2	no	—
642	C₂²	—	2	4	no	—
643	C₂²	—	2	4	no	—
644	C₂²	—	4	16	no	—
645	C₂²	—	4	1	no	—
646	C₂²	—	4	1	no	—
647	C₂²	—	4	1	no	—
648	C₂²	—	4	1	no	—
649	C₂²	—	4	2	no	—
650	C₂²	—	4	2	no	—
651	C₂²	C₅₉×#541	1	4	yes	complemented
652	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
653	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
654	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
655	C₂²	C₂×2₋¹⁺⁴×C₅₉	1	2	yes	—
656	C₂²	C₅₉×#585	1	2	yes	—
657	C₄	—	2	2	no	—
658	C₄	—	2	2	no	—
659	C₄	—	2	2	no	—
660	C₄	—	2	4	no	—
661	C₄	—	2	4	no	—
662	C₄	—	4	4	no	—
663	C₄	—	4	4	no	—
664	C₄	—	4	2	no	—
665	C₄	—	4	2	no	—
666	C₄	—	4	4	no	—
667	C₄	—	4	4	no	—
668	C₄	C₅₉×#525	1	4	yes	—
669	C₂	—	2	4	no	—
670	C₂	—	4	2	no	—
671	C₂	—	4	2	no	—
672	C₂	C₂×C₅₉×#525	1	1	yes	characteristic
673	C₂	C₂×C₅₉×#541	1	1	yes	characteristic
674	C₂	C₅₉×#3455	1	1	yes	characteristic
675	C₂	C₅₉×#3489	1	2	yes	—
676	C₂	C₅₉×#3495	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₅₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₉
prime radical	C₂⁵×C₅₉	C₂³
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×#541	C₂	semidirect
3. C₅₉×#2857	C₂	semidirect
4. C₅₉×#2851	C₂	semidirect
6. C₅₉×#2629	C₂	semidirect
7. C₅₉×#2625	C₂	semidirect
8. C₅₉×#2621	C₂	semidirect
10. C₅₉×#2478	C₂	semidirect
11. C₅₉×#2475	C₂	semidirect
12. C₅₉×#2473	C₂	semidirect
13. C₅₉×#2323	C₂	semidirect
14. C₅₉×#2314	C₂	semidirect
15. C₄×C₂²⋊Q₈×C₅₉	C₂	semidirect
18. C₂×C₄⋊Q₈×C₅₉	C₂²	semidirect
20. C₂×#125×C₅₉	C₂²	semidirect
21. C₂×#125×C₅₉	C₂²	semidirect
25. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
37. C₅₉×#400	C₂²	semidirect
38. C₅₉×#398	C₂²	semidirect
39. C₅₉×#398	C₂²	semidirect
40. C₅₉×#398	C₂²	semidirect
45. C₅₉×#391	C₂²	semidirect
46. C₅₉×#391	C₂²	semidirect
47. C₅₉×#389	C₂²	semidirect
48. C₅₉×#389	C₂²	semidirect
49. C₅₉×#389	C₂²	semidirect
50. C₅₉×#389	C₂²	semidirect
54. C₅₉×#387	C₂²	semidirect
55. C₅₉×#387	C₂²	semidirect
56. C₅₉×#387	C₂²	semidirect
57. C₅₉×#387	C₂²	semidirect
63. C₅₉×#384	C₂²	semidirect
64. C₅₉×#382	C₂²	semidirect
70. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
71. C₄×C₄⋊C₄×C₅₉	C₂²	semidirect
297. #35310	C₅₉	direct (N × H)
313. C₂²×C₅₉	#541	semidirect
331. C₂×#541	C₂×C₅₉	semidirect
333. #2857	C₂×C₅₉	semidirect
334. #2851	C₂×C₅₉	semidirect
336. #2629	C₂×C₅₉	semidirect
337. #2625	C₂×C₅₉	semidirect
338. #2621	C₂×C₅₉	semidirect
340. #2478	C₂×C₅₉	semidirect
341. #2475	C₂×C₅₉	semidirect
342. #2473	C₂×C₅₉	semidirect
343. #2323	C₂×C₅₉	semidirect
344. #2314	C₂×C₅₉	semidirect
345. C₄×C₂²⋊Q₈	C₂×C₅₉	semidirect
356. C₂×C₄⋊Q₈	C₂²×C₅₉	semidirect
358. C₂×#125	C₂²×C₅₉	semidirect
359. C₂×#125	C₂²×C₅₉	semidirect
363. C₂×C₄×Q₈	C₂²×C₅₉	semidirect
375. #400	C₂²×C₅₉	semidirect
376. #398	C₂²×C₅₉	semidirect
377. #398	C₂²×C₅₉	semidirect
378. #398	C₂²×C₅₉	semidirect
383. #391	C₂²×C₅₉	semidirect
384. #391	C₂²×C₅₉	semidirect
385. #389	C₂²×C₅₉	semidirect
386. #389	C₂²×C₅₉	semidirect
387. #389	C₂²×C₅₉	semidirect
388. #389	C₂²×C₅₉	semidirect
392. #387	C₂²×C₅₉	semidirect
393. #387	C₂²×C₅₉	semidirect
394. #387	C₂²×C₅₉	semidirect
395. #387	C₂²×C₅₉	semidirect
401. #384	C₂²×C₅₉	semidirect
402. #382	C₂²×C₅₉	semidirect
408. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
409. C₄×C₄⋊C₄	C₂²×C₅₉	semidirect
411. C₅₉	#35310	direct (N × H)
651. C₂²	C₅₉×#541	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅₉×#541	2
C₂²×#117×C₅₉	2
C₅₉×#2857	2
C₅₉×#2851	2
C₅₉×#2848	2
C₅₉×#2629	2
C₅₉×#2625	2
C₅₉×#2621	2
C₅₉×#2480	2
C₅₉×#2478	2
C₅₉×#2475	2
C₅₉×#2473	2
C₅₉×#2323	2
C₅₉×#2314	2
C₄×C₂²⋊Q₈×C₅₉	2
#35310	59

Subgroups — C59×#35310 #28447419

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35310 #28447419