Subgroups — C₅₉×#35738 #28447847

Order 15104.

2278 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₉×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅₉×#519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₉×#2634	C₂	1	2	yes	maximal, complemented
4	C₅₉×#2628	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2611	C₂	1	2	yes	maximal, complemented
6	C₅₉×#2598	C₂	1	2	yes	maximal
7	C₅₉×#2568	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2536	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₉×#2477	C₂	1	4	yes	maximal, complemented
10	C₅₉×#2465	C₂	1	4	yes	maximal, complemented
11	C₅₉×#2421	C₂	1	2	yes	maximal, complemented
12	C₅₉×#2409	C₂	1	2	yes	maximal, complemented
13	C₅₉×#2398	C₂	1	2	yes	maximal, complemented
14	C₅₉×#2392	C₂	1	1	yes	maximal, characteristic
15	C₅₉×#2360	C₂	1	2	yes	maximal, complemented
16	C₅₉×#2356	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₉×#2352	C₂	1	2	yes	maximal, complemented
18	C₂³×Q₈×C₅₉	C₂²	1	1	yes	characteristic
19	C₅₉×#554	—	2	8	no	—
20	C₂×C₄⋊Q₈×C₅₉	C₂²	1	1	yes	characteristic
21	C₂×#125×C₅₉	C₂²	1	2	yes	—
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	4	yes	—
25	C₅₉×#519	—	2	8	no	—
26	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
27	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
28	C₂×C₄×Q₈×C₅₉	C₂²	1	2	yes	—
29	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈×C₅₉	C₂²	1	2	yes	—
31	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₅₉	C₂²	1	2	yes	—
35	C₂×#117×C₅₉	C₂²	1	2	yes	—
36	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
37	C₂×#117×C₅₉	C₂²	1	1	yes	characteristic
38	C₂×#117×C₅₉	C₂²	1	2	yes	—
39	C₂²×C₄⋊C₄×C₅₉	C₂²	1	2	yes	—
40	C₅₉×#400	C₂²	1	2	yes	—
41	C₅₉×#400	C₂²	1	2	yes	—
42	C₅₉×#400	C₂²	1	2	yes	—
43	C₅₉×#400	C₂²	1	4	yes	—
44	C₅₉×#399	C₂²	1	2	yes	—
45	C₅₉×#398	C₂²	1	2	yes	—
46	C₅₉×#398	C₂²	1	1	yes	characteristic
47	C₅₉×#397	C₂²	1	1	yes	characteristic
48	C₅₉×#397	C₂²	1	4	yes	—
49	C₅₉×#396	C₂²	1	2	yes	—
50	C₅₉×#395	C₂²	1	2	yes	—
51	C₅₉×#395	C₂²	1	4	yes	—
52	C₅₉×#394	C₂²	1	2	yes	—
53	C₅₉×#394	C₂²	1	1	yes	characteristic
54	C₅₉×#394	C₂²	1	2	yes	—
55	C₅₉×#393	C₂²	1	2	yes	—
56	C₅₉×#393	C₂²	1	4	yes	—
57	C₅₉×#392	C₂²	1	1	yes	characteristic
58	C₅₉×#391	C₂²	1	2	yes	—
59	C₅₉×#391	C₂²	1	4	yes	—
60	C₅₉×#391	C₂²	1	2	yes	—
61	C₅₉×#389	C₂²	1	4	yes	—
62	C₅₉×#389	C₂²	1	2	yes	—
63	C₅₉×#388	C₂²	1	4	yes	—
64	C₅₉×#388	C₂²	1	4	yes	—
65	C₅₉×#388	C₂²	1	4	yes	—
66	C₅₉×#387	C₂²	1	4	yes	—
67	C₅₉×#387	C₂²	1	4	yes	—
68	C₅₉×#387	C₂²	1	4	yes	—
69	C₅₉×#387	C₂²	1	4	yes	—
70	C₅₉×#386	C₂²	1	4	yes	—
71	C₅₉×#386	C₂²	1	4	yes	—
72	C₅₉×#385	C₂²	1	4	yes	—
73	C₅₉×#385	C₂²	1	4	yes	—
74	C₅₉×#383	C₂²	1	2	yes	—
75	C₅₉×#382	C₂²	1	1	yes	characteristic
76	C₅₉×#382	C₂²	1	2	yes	—
77	C₅₉×#380	C₂²	1	2	yes	—
78	C₅₉×#380	C₂²	1	2	yes	—
79	C₄×C₄⋊C₄×C₅₉	C₂²	1	1	yes	characteristic
80	C₄×C₄⋊C₄×C₅₉	C₂²	1	2	yes	—
81	C₄×C₂²⋊C₄×C₅₉	C₂²	1	4	yes	—
82	C₄×C₂²⋊C₄×C₅₉	C₂²	1	2	yes	—
83	C₄×C₂²⋊C₄×C₅₉	C₂²	1	4	yes	—
84	C₅₉×#376	C₂²	1	2	yes	—
85	C₂²×Q₈×C₅₉	—	2	4	no	—
86	C₂²×Q₈×C₅₉	—	2	4	no	—
87	C₂²×Q₈×C₅₉	—	2	4	no	—
88	C₂²×Q₈×C₅₉	C₂³	1	2	yes	—
89	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
90	C₂²×Q₈×C₅₉	C₂³	1	1	yes	characteristic
91	C₂²×Q₈×C₅₉	C₂³	1	2	yes	—
92	C₂²×D₄×C₅₉	C₂³	1	1	yes	characteristic
93	C₂²×D₄×C₅₉	C₂³	1	2	yes	—
94	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
95	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
96	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
97	C₂³×C₄×C₅₉	C₂³	1	4	yes	—
98	C₄⋊Q₈×C₅₉	—	2	4	no	—
99	#125×C₅₉	—	2	8	no	—
100	C₂²⋊Q₈×C₅₉	—	2	8	no	—
101	C₂²⋊Q₈×C₅₉	—	2	8	no	—
102	C₂²⋊Q₈×C₅₉	—	2	16	no	—
103	C₄×Q₈×C₅₉	—	2	4	no	—
104	C₄×Q₈×C₅₉	—	2	4	no	—
105	C₄×Q₈×C₅₉	—	2	8	no	—
106	C₄×Q₈×C₅₉	—	2	8	no	—
107	C₄×Q₈×C₅₉	—	2	4	no	—
108	C₄×Q₈×C₅₉	D₄	1	8	yes	complemented
109	C₄×D₄×C₅₉	—	2	8	no	—
110	C₄×D₄×C₅₉	—	2	8	no	—
111	C₄×D₄×C₅₉	—	2	4	no	—
112	#117×C₅₉	—	2	4	no	—
113	#117×C₅₉	—	2	8	no	—
114	#117×C₅₉	—	2	8	no	—
115	#117×C₅₉	—	2	4	no	—
116	C₂×C₄⋊C₄×C₅₉	—	2	8	no	—
117	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
118	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
119	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
120	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
121	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
122	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
123	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
124	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
125	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
126	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
127	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
128	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
129	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
130	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
131	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
132	C₂×C₄⋊C₄×C₅₉	C₂³	1	4	yes	—
133	C₂×C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
134	C₂×C₄⋊C₄×C₅₉	C₂³	1	2	yes	—
135	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
136	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
137	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
138	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
139	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
140	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
141	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
142	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
143	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
144	C₂×C₂²⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
145	C₂×C₂²⋊C₄×C₅₉	C₂³	1	2	yes	—
146	C₂×C₂²⋊C₄×C₅₉	C₂³	1	4	yes	—
147	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
148	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
149	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
150	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
151	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
152	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
153	C₂×C₄²×C₅₉	C₂³	1	4	yes	—
154	C₂×C₄²×C₅₉	C₂³	1	2	yes	—
155	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
156	#95×C₅₉	C₂³	1	1	yes	characteristic
157	#95×C₅₉	C₂³	1	2	yes	—
158	#95×C₅₉	C₂³	1	4	yes	—
159	#95×C₅₉	C₂³	1	4	yes	—
160	#95×C₅₉	C₂³	1	4	yes	—
161	#95×C₅₉	C₂³	1	4	yes	—
162	#95×C₅₉	C₂³	1	2	yes	—
163	#95×C₅₉	C₂³	1	2	yes	—
164	#95×C₅₉	C₂³	1	4	yes	—
165	#95×C₅₉	C₂³	1	1	yes	characteristic
166	#95×C₅₉	C₂³	1	4	yes	—
167	#95×C₅₉	C₂³	1	4	yes	—
168	#95×C₅₉	C₂³	1	4	yes	—
169	#95×C₅₉	C₂³	1	2	yes	—
170	#95×C₅₉	C₂³	1	4	yes	—
171	#95×C₅₉	C₂³	1	4	yes	—
172	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
173	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
174	C₂×Q₈×C₅₉	—	2	32	no	—
175	C₂×Q₈×C₅₉	—	2	4	no	—
176	C₂×Q₈×C₅₉	—	2	2	no	—
177	C₂×Q₈×C₅₉	—	2	4	no	—
178	C₂×Q₈×C₅₉	—	2	4	no	—
179	C₂×Q₈×C₅₉	—	2	4	no	—
180	C₂×Q₈×C₅₉	—	2	2	no	—
181	C₂×Q₈×C₅₉	—	2	2	no	—
182	C₂×Q₈×C₅₉	—	2	2	no	—
183	C₂×Q₈×C₅₉	—	4	4	no	—
184	C₂×Q₈×C₅₉	C₂×D₄	1	4	yes	—
185	C₂×Q₈×C₅₉	#41	1	4	yes	—
186	C₂×D₄×C₅₉	—	2	4	no	—
187	C₂×D₄×C₅₉	—	2	4	no	—
188	C₂×D₄×C₅₉	—	2	4	no	—
189	C₂×D₄×C₅₉	—	2	2	no	—
190	C₂×D₄×C₅₉	—	4	2	no	—
191	C₂²×C₄×C₅₉	—	2	4	no	—
192	C₂²×C₄×C₅₉	—	2	4	no	—
193	C₂²×C₄×C₅₉	—	2	2	no	—
194	C₂²×C₄×C₅₉	—	2	4	no	—
195	C₂²×C₄×C₅₉	—	2	2	no	—
196	C₂²×C₄×C₅₉	—	2	4	no	—
197	C₂²×C₄×C₅₉	—	2	4	no	—
198	C₂²×C₄×C₅₉	—	2	4	no	—
199	C₂²×C₄×C₅₉	—	2	8	no	—
200	C₂²×C₄×C₅₉	—	4	4	no	—
201	C₂²×C₄×C₅₉	—	4	4	no	—
202	C₂²×C₄×C₅₉	#41	1	4	yes	—
203	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
204	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
205	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
206	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
207	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
208	C₂²×C₄×C₅₉	C₂⁴	1	4	yes	—
209	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
210	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
211	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
215	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
216	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
217	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
218	C₄⋊C₄×C₅₉	—	2	8	no	—
219	C₄⋊C₄×C₅₉	—	2	4	no	—
220	C₄⋊C₄×C₅₉	—	2	2	no	—
221	C₄⋊C₄×C₅₉	—	2	4	no	—
222	C₄⋊C₄×C₅₉	—	2	4	no	—
223	C₄⋊C₄×C₅₉	—	2	2	no	—
224	C₄⋊C₄×C₅₉	—	2	4	no	—
225	C₄⋊C₄×C₅₉	—	2	2	no	—
226	C₄⋊C₄×C₅₉	—	2	2	no	—
227	C₄⋊C₄×C₅₉	—	2	4	no	—
228	C₄⋊C₄×C₅₉	—	2	8	no	—
229	C₄⋊C₄×C₅₉	—	2	4	no	—
230	C₄⋊C₄×C₅₉	—	2	4	no	—
231	C₄⋊C₄×C₅₉	—	2	8	no	—
232	C₄⋊C₄×C₅₉	—	4	2	no	—
233	C₄⋊C₄×C₅₉	—	4	4	no	—
234	C₄⋊C₄×C₅₉	C₂×D₄	1	4	yes	—
235	C₄⋊C₄×C₅₉	C₂×D₄	1	8	yes	—
236	C₂²⋊C₄×C₅₉	—	2	4	no	—
237	C₂²⋊C₄×C₅₉	—	2	4	no	—
238	C₂²⋊C₄×C₅₉	—	2	8	no	—
239	C₂²⋊C₄×C₅₉	—	2	2	no	—
240	C₂²⋊C₄×C₅₉	—	2	4	no	—
241	C₂²⋊C₄×C₅₉	—	2	2	no	—
242	C₂²⋊C₄×C₅₉	—	2	4	no	—
243	C₂²⋊C₄×C₅₉	—	2	8	no	—
244	C₂²⋊C₄×C₅₉	—	2	4	no	—
245	C₂²⋊C₄×C₅₉	—	2	8	no	—
246	C₂²⋊C₄×C₅₉	—	4	4	no	—
247	C₂²⋊C₄×C₅₉	—	4	2	no	—
248	C₄²×C₅₉	—	2	4	no	—
249	C₄²×C₅₉	—	2	4	no	—
250	C₄²×C₅₉	—	2	4	no	—
251	C₄²×C₅₉	—	2	4	no	—
252	C₄²×C₅₉	—	2	2	no	—
253	C₄²×C₅₉	—	2	4	no	—
254	C₄²×C₅₉	—	4	4	no	—
255	C₄²×C₅₉	C₂×D₄	1	8	yes	—
256	C₄²×C₅₉	C₂×D₄	1	4	yes	—
257	C₂³×C₅₉	—	2	1	no	—
258	C₂³×C₅₉	—	2	2	no	—
259	C₂³×C₅₉	—	2	2	no	—
260	C₂³×C₅₉	—	2	2	no	—
261	C₂³×C₅₉	—	2	1	no	—
262	C₂³×C₅₉	—	2	2	no	—
263	C₂³×C₅₉	—	2	2	no	—
264	C₂³×C₅₉	—	2	2	no	—
265	C₂³×C₅₉	—	2	2	no	—
266	C₂³×C₅₉	—	2	2	no	—
267	C₂³×C₅₉	C₂×#41	1	2	yes	—
268	C₂³×C₅₉	2₋¹⁺⁴	1	4	yes	—
269	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
270	Q₈×C₅₉	—	2	16	no	—
271	Q₈×C₅₉	—	2	8	no	—
272	Q₈×C₅₉	—	2	8	no	—
273	Q₈×C₅₉	—	8	4	no	—
274	D₄×C₅₉	—	2	8	no	—
275	D₄×C₅₉	—	4	8	no	—
276	C₂×C₄×C₅₉	—	2	16	no	—
277	C₂×C₄×C₅₉	—	2	2	no	—
278	C₂×C₄×C₅₉	—	2	1	no	—
279	C₂×C₄×C₅₉	—	2	2	no	—
280	C₂×C₄×C₅₉	—	2	2	no	—
281	C₂×C₄×C₅₉	—	2	2	no	—
282	C₂×C₄×C₅₉	—	2	1	no	—
283	C₂×C₄×C₅₉	—	2	2	no	—
284	C₂×C₄×C₅₉	—	2	4	no	—
285	C₂×C₄×C₅₉	—	2	2	no	—
286	C₂×C₄×C₅₉	—	2	8	no	—
287	C₂×C₄×C₅₉	—	2	2	no	—
288	C₂×C₄×C₅₉	—	2	1	no	—
289	C₂×C₄×C₅₉	—	2	1	no	—
290	C₂×C₄×C₅₉	—	2	2	no	—
291	C₂×C₄×C₅₉	—	2	4	no	—
292	C₂×C₄×C₅₉	—	2	2	no	—
293	C₂×C₄×C₅₉	—	2	2	no	—
294	C₂×C₄×C₅₉	—	2	4	no	—
295	C₂×C₄×C₅₉	—	2	2	no	—
296	C₂×C₄×C₅₉	—	2	2	no	—
297	C₂×C₄×C₅₉	—	2	2	no	—
298	C₂×C₄×C₅₉	—	2	4	no	—
299	C₂×C₄×C₅₉	—	2	2	no	—
300	C₂×C₄×C₅₉	—	2	4	no	—
301	C₂×C₄×C₅₉	—	2	2	no	—
302	C₂×C₄×C₅₉	—	2	2	no	—
303	C₂×C₄×C₅₉	—	2	4	no	—
304	C₂×C₄×C₅₉	—	2	2	no	—
305	C₂×C₄×C₅₉	—	2	2	no	—
306	C₂×C₄×C₅₉	—	2	4	no	—
307	C₂×C₄×C₅₉	—	2	4	no	—
308	C₂×C₄×C₅₉	—	4	8	no	—
309	C₂×C₄×C₅₉	—	8	8	no	—
310	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
311	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
312	C₂×C₄×C₅₉	C₂²×D₄	1	4	yes	—
313	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
314	C₂×C₄×C₅₉	C₂²×D₄	1	2	yes	—
315	C₂×C₄×C₅₉	C₂×#41	1	4	yes	—
316	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
317	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
318	C₂×C₄×C₅₉	C₂×#41	1	2	yes	—
319	#35738	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
320	C₂²×C₅₉	—	2	2	no	—
321	C₂²×C₅₉	—	2	4	no	—
322	C₂²×C₅₉	—	2	4	no	—
323	C₂²×C₅₉	—	2	4	no	—
324	C₂²×C₅₉	—	2	4	no	—
325	C₂²×C₅₉	—	4	2	no	—
326	C₂²×C₅₉	—	4	1	no	—
327	C₂²×C₅₉	—	4	2	no	—
328	C₂²×C₅₉	—	4	2	no	—
329	C₂²×C₅₉	—	4	1	no	—
330	C₂²×C₅₉	—	4	2	no	—
331	C₂²×C₅₉	—	4	2	no	—
332	C₂²×C₅₉	C₂³×D₄	1	1	yes	characteristic
333	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
334	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
335	C₂²×C₅₉	C₂×2₋¹⁺⁴	1	2	yes	—
336	C₂²×C₅₉	#585	1	2	yes	—
337	C₄×C₅₉	—	2	4	no	—
338	C₄×C₅₉	—	2	4	no	—
339	C₄×C₅₉	—	2	2	no	—
340	C₄×C₅₉	—	2	2	no	—
341	C₄×C₅₉	—	2	4	no	—
342	C₄×C₅₉	—	2	2	no	—
343	C₄×C₅₉	—	4	2	no	—
344	C₄×C₅₉	—	4	2	no	—
345	C₄×C₅₉	—	4	1	no	—
346	C₄×C₅₉	—	4	2	no	—
347	C₄×C₅₉	—	4	2	no	—
348	C₄×C₅₉	—	4	1	no	—
349	C₄×C₅₉	—	4	4	no	—
350	C₄×C₅₉	—	4	4	no	—
351	C₄×C₅₉	#525	1	4	yes	—
352	C₂×#554	C₂×C₅₉	1	1	yes	characteristic, complemented
353	C₂×#519	C₂×C₅₉	1	1	yes	characteristic, complemented
354	#2634	C₂×C₅₉	1	2	yes	complemented
355	#2628	C₂×C₅₉	1	1	yes	characteristic, complemented
356	#2611	C₂×C₅₉	1	2	yes	complemented
357	#2598	C₂×C₅₉	1	2	yes	—
358	#2568	C₂×C₅₉	1	1	yes	characteristic, complemented
359	#2536	C₂×C₅₉	1	1	yes	characteristic, complemented
360	#2477	C₂×C₅₉	1	4	yes	complemented
361	#2465	C₂×C₅₉	1	4	yes	complemented
362	#2421	C₂×C₅₉	1	2	yes	complemented
363	#2409	C₂×C₅₉	1	2	yes	complemented
364	#2398	C₂×C₅₉	1	2	yes	complemented
365	#2392	C₂×C₅₉	1	1	yes	characteristic
366	#2360	C₂×C₅₉	1	2	yes	complemented
367	#2356	C₂×C₅₉	1	1	yes	characteristic, complemented
368	#2352	C₂×C₅₉	1	2	yes	complemented
369	C₂×C₅₉	—	4	2	no	—
370	C₂×C₅₉	—	4	4	no	—
371	C₂×C₅₉	C₂×#525	1	1	yes	characteristic
372	C₂×C₅₉	#3486	1	1	yes	characteristic
373	C₂×C₅₉	#3495	1	2	yes	—
374	C₂×C₅₉	#3500	1	1	yes	characteristic
375	C₂×C₅₉	#3516	1	2	yes	—
376	C₂³×Q₈	C₂²×C₅₉	1	1	yes	characteristic
377	#554	—	2	8	no	—
378	C₂×C₄⋊Q₈	C₂²×C₅₉	1	1	yes	characteristic
379	C₂×#125	C₂²×C₅₉	1	2	yes	—
380	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	2	yes	—
381	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	2	yes	—
382	C₂×C₂²⋊Q₈	C₂²×C₅₉	1	4	yes	—
383	#519	—	2	8	no	—
384	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
385	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
386	C₂×C₄×Q₈	C₂²×C₅₉	1	2	yes	—
387	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
388	C₂×C₄×Q₈	C₂²×C₅₉	1	2	yes	—
389	C₂×C₄×Q₈	C₂²×C₅₉	1	1	yes	characteristic
390	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	—
391	C₂×C₄×D₄	C₂²×C₅₉	1	2	yes	—
392	C₂×C₄×D₄	C₂²×C₅₉	1	1	yes	characteristic
393	C₂×#117	C₂²×C₅₉	1	2	yes	—
394	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
395	C₂×#117	C₂²×C₅₉	1	1	yes	characteristic
396	C₂×#117	C₂²×C₅₉	1	2	yes	—
397	C₂²×C₄⋊C₄	C₂²×C₅₉	1	2	yes	—
398	#400	C₂²×C₅₉	1	2	yes	—
399	#400	C₂²×C₅₉	1	2	yes	—
400	#400	C₂²×C₅₉	1	2	yes	—
401	#400	C₂²×C₅₉	1	4	yes	—
402	#399	C₂²×C₅₉	1	2	yes	—
403	#398	C₂²×C₅₉	1	2	yes	—
404	#398	C₂²×C₅₉	1	1	yes	characteristic
405	#397	C₂²×C₅₉	1	1	yes	characteristic
406	#397	C₂²×C₅₉	1	4	yes	—
407	#396	C₂²×C₅₉	1	2	yes	—
408	#395	C₂²×C₅₉	1	2	yes	—
409	#395	C₂²×C₅₉	1	4	yes	—
410	#394	C₂²×C₅₉	1	2	yes	—
411	#394	C₂²×C₅₉	1	1	yes	characteristic
412	#394	C₂²×C₅₉	1	2	yes	—
413	#393	C₂²×C₅₉	1	2	yes	—
414	#393	C₂²×C₅₉	1	4	yes	—
415	#392	C₂²×C₅₉	1	1	yes	characteristic
416	#391	C₂²×C₅₉	1	2	yes	—
417	#391	C₂²×C₅₉	1	4	yes	—
418	#391	C₂²×C₅₉	1	2	yes	—
419	#389	C₂²×C₅₉	1	4	yes	—
420	#389	C₂²×C₅₉	1	2	yes	—
421	#388	C₂²×C₅₉	1	4	yes	—
422	#388	C₂²×C₅₉	1	4	yes	—
423	#388	C₂²×C₅₉	1	4	yes	—
424	#387	C₂²×C₅₉	1	4	yes	—
425	#387	C₂²×C₅₉	1	4	yes	—
426	#387	C₂²×C₅₉	1	4	yes	—
427	#387	C₂²×C₅₉	1	4	yes	—
428	#386	C₂²×C₅₉	1	4	yes	—
429	#386	C₂²×C₅₉	1	4	yes	—
430	#385	C₂²×C₅₉	1	4	yes	—
431	#385	C₂²×C₅₉	1	4	yes	—
432	#383	C₂²×C₅₉	1	2	yes	—
433	#382	C₂²×C₅₉	1	2	yes	—
434	#382	C₂²×C₅₉	1	1	yes	characteristic
435	#380	C₂²×C₅₉	1	2	yes	—
436	#380	C₂²×C₅₉	1	2	yes	—
437	C₄×C₄⋊C₄	C₂²×C₅₉	1	1	yes	characteristic
438	C₄×C₄⋊C₄	C₂²×C₅₉	1	2	yes	—
439	C₄×C₂²⋊C₄	C₂²×C₅₉	1	4	yes	—
440	C₄×C₂²⋊C₄	C₂²×C₅₉	1	2	yes	—
441	C₄×C₂²⋊C₄	C₂²×C₅₉	1	4	yes	—
442	#376	C₂²×C₅₉	1	2	yes	—
443	C₅₉	#35738	1	1	yes	characteristic, direct product factor, Sylow
444	C₂²×Q₈	—	2	4	no	—
445	C₂²×Q₈	—	2	4	no	—
446	C₂²×Q₈	—	2	4	no	—
447	C₂²×Q₈	C₂³×C₅₉	1	2	yes	—
448	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
449	C₂²×Q₈	C₂³×C₅₉	1	1	yes	characteristic
450	C₂²×Q₈	C₂³×C₅₉	1	2	yes	—
451	C₂²×D₄	C₂³×C₅₉	1	1	yes	characteristic
452	C₂²×D₄	C₂³×C₅₉	1	2	yes	—
453	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
454	C₂³×C₄	C₂³×C₅₉	1	2	yes	—
455	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
456	C₂³×C₄	C₂³×C₅₉	1	4	yes	—
457	C₄⋊Q₈	—	2	4	no	—
458	#125	—	2	8	no	—
459	C₂²⋊Q₈	—	2	8	no	—
460	C₂²⋊Q₈	—	2	8	no	—
461	C₂²⋊Q₈	—	2	16	no	—
462	C₄×Q₈	—	2	4	no	—
463	C₄×Q₈	—	2	4	no	—
464	C₄×Q₈	—	2	8	no	—
465	C₄×Q₈	—	2	8	no	—
466	C₄×Q₈	—	2	4	no	—
467	C₄×Q₈	D₄×C₅₉	1	8	yes	complemented
468	C₄×D₄	—	2	8	no	—
469	C₄×D₄	—	2	8	no	—
470	C₄×D₄	—	2	4	no	—
471	#117	—	2	4	no	—
472	#117	—	2	8	no	—
473	#117	—	2	8	no	—
474	#117	—	2	4	no	—
475	C₂×C₄⋊C₄	—	2	8	no	—
476	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
477	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
478	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
479	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
480	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
481	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
482	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
483	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
484	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
485	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
486	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
487	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
488	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
489	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
490	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
491	C₂×C₄⋊C₄	C₂³×C₅₉	1	4	yes	—
492	C₂×C₄⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
493	C₂×C₄⋊C₄	C₂³×C₅₉	1	2	yes	—
494	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
495	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
496	C₂×C₂²⋊C₄	C₂³×C₅₉	1	1	yes	characteristic
497	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
498	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
499	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
500	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
501	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
502	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
503	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
504	C₂×C₂²⋊C₄	C₂³×C₅₉	1	2	yes	—
505	C₂×C₂²⋊C₄	C₂³×C₅₉	1	4	yes	—
506	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
507	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
508	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
509	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
510	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
511	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
512	C₂×C₄²	C₂³×C₅₉	1	4	yes	—
513	C₂×C₄²	C₂³×C₅₉	1	2	yes	—
514	C₂×C₄²	C₂³×C₅₉	1	1	yes	characteristic
515	#95	C₂³×C₅₉	1	1	yes	characteristic
516	#95	C₂³×C₅₉	1	2	yes	—
517	#95	C₂³×C₅₉	1	4	yes	—
518	#95	C₂³×C₅₉	1	4	yes	—
519	#95	C₂³×C₅₉	1	4	yes	—
520	#95	C₂³×C₅₉	1	4	yes	—
521	#95	C₂³×C₅₉	1	2	yes	—
522	#95	C₂³×C₅₉	1	2	yes	—
523	#95	C₂³×C₅₉	1	4	yes	—
524	#95	C₂³×C₅₉	1	1	yes	characteristic
525	#95	C₂³×C₅₉	1	4	yes	—
526	#95	C₂³×C₅₉	1	4	yes	—
527	#95	C₂³×C₅₉	1	4	yes	—
528	#95	C₂³×C₅₉	1	2	yes	—
529	#95	C₂³×C₅₉	1	4	yes	—
530	#95	C₂³×C₅₉	1	4	yes	—
531	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
532	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
533	C₂×Q₈	—	2	32	no	—
534	C₂×Q₈	—	2	4	no	—
535	C₂×Q₈	—	2	2	no	—
536	C₂×Q₈	—	2	4	no	—
537	C₂×Q₈	—	2	4	no	—
538	C₂×Q₈	—	2	4	no	—
539	C₂×Q₈	—	2	2	no	—
540	C₂×Q₈	—	2	2	no	—
541	C₂×Q₈	—	2	2	no	—
542	C₂×Q₈	—	4	4	no	—
543	C₂×Q₈	C₂×D₄×C₅₉	1	4	yes	—
544	C₂×Q₈	#41×C₅₉	1	4	yes	—
545	C₂×D₄	—	2	4	no	—
546	C₂×D₄	—	2	4	no	—
547	C₂×D₄	—	2	4	no	—
548	C₂×D₄	—	2	2	no	—
549	C₂×D₄	—	4	2	no	—
550	C₂²×C₄	—	2	4	no	—
551	C₂²×C₄	—	2	4	no	—
552	C₂²×C₄	—	2	2	no	—
553	C₂²×C₄	—	2	4	no	—
554	C₂²×C₄	—	2	2	no	—
555	C₂²×C₄	—	2	4	no	—
556	C₂²×C₄	—	2	4	no	—
557	C₂²×C₄	—	2	4	no	—
558	C₂²×C₄	—	2	8	no	—
559	C₂²×C₄	—	4	4	no	—
560	C₂²×C₄	—	4	4	no	—
561	C₂²×C₄	#41×C₅₉	1	4	yes	—
562	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
563	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
564	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
565	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
566	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
567	C₂²×C₄	C₂⁴×C₅₉	1	4	yes	—
568	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
569	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
570	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
571	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
572	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
573	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
574	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
575	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
576	C₂²×C₄	C₂⁴×C₅₉	1	1	yes	characteristic
577	C₄⋊C₄	—	2	8	no	—
578	C₄⋊C₄	—	2	4	no	—
579	C₄⋊C₄	—	2	2	no	—
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	—	2	4	no	—
582	C₄⋊C₄	—	2	2	no	—
583	C₄⋊C₄	—	2	4	no	—
584	C₄⋊C₄	—	2	2	no	—
585	C₄⋊C₄	—	2	2	no	—
586	C₄⋊C₄	—	2	4	no	—
587	C₄⋊C₄	—	2	8	no	—
588	C₄⋊C₄	—	2	4	no	—
589	C₄⋊C₄	—	2	4	no	—
590	C₄⋊C₄	—	2	8	no	—
591	C₄⋊C₄	—	4	2	no	—
592	C₄⋊C₄	—	4	4	no	—
593	C₄⋊C₄	C₂×D₄×C₅₉	1	4	yes	—
594	C₄⋊C₄	C₂×D₄×C₅₉	1	8	yes	—
595	C₂²⋊C₄	—	2	4	no	—
596	C₂²⋊C₄	—	2	4	no	—
597	C₂²⋊C₄	—	2	8	no	—
598	C₂²⋊C₄	—	2	2	no	—
599	C₂²⋊C₄	—	2	4	no	—
600	C₂²⋊C₄	—	2	2	no	—
601	C₂²⋊C₄	—	2	4	no	—
602	C₂²⋊C₄	—	2	8	no	—
603	C₂²⋊C₄	—	2	4	no	—
604	C₂²⋊C₄	—	2	8	no	—
605	C₂²⋊C₄	—	4	4	no	—
606	C₂²⋊C₄	—	4	2	no	—
607	C₄²	—	2	4	no	—
608	C₄²	—	2	4	no	—
609	C₄²	—	2	4	no	—
610	C₄²	—	2	4	no	—
611	C₄²	—	2	2	no	—
612	C₄²	—	2	4	no	—
613	C₄²	—	4	4	no	—
614	C₄²	C₂×D₄×C₅₉	1	8	yes	—
615	C₄²	C₂×D₄×C₅₉	1	4	yes	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	2	no	—
618	C₂³	—	2	2	no	—
619	C₂³	—	2	2	no	—
620	C₂³	—	2	1	no	—
621	C₂³	—	2	2	no	—
622	C₂³	—	2	2	no	—
623	C₂³	—	2	2	no	—
624	C₂³	—	2	2	no	—
625	C₂³	—	2	2	no	—
626	C₂³	C₂×#41×C₅₉	1	2	yes	—
627	C₂³	2₋¹⁺⁴×C₅₉	1	4	yes	—
628	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
629	Q₈	—	2	16	no	—
630	Q₈	—	2	8	no	—
631	Q₈	—	2	8	no	—
632	Q₈	—	8	4	no	—
633	D₄	—	2	8	no	—
634	D₄	—	4	8	no	—
635	C₂×C₄	—	2	16	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	1	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	1	no	—
641	C₂×C₄	—	2	2	no	—
642	C₂×C₄	—	2	2	no	—
643	C₂×C₄	—	2	4	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	8	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	2	no	—
650	C₂×C₄	—	2	4	no	—
651	C₂×C₄	—	2	2	no	—
652	C₂×C₄	—	2	2	no	—
653	C₂×C₄	—	2	4	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	4	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	4	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	4	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	4	no	—
666	C₂×C₄	—	2	4	no	—
667	C₂×C₄	—	4	8	no	—
668	C₂×C₄	—	8	8	no	—
669	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
670	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
671	C₂×C₄	C₂²×D₄×C₅₉	1	4	yes	—
672	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
673	C₂×C₄	C₂²×D₄×C₅₉	1	2	yes	—
674	C₂×C₄	C₂×#41×C₅₉	1	4	yes	—
675	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
676	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
677	C₂×C₄	C₂×#41×C₅₉	1	2	yes	—
678	C₂²	—	2	4	no	—
679	C₂²	—	2	2	no	—
680	C₂²	—	2	4	no	—
681	C₂²	—	2	4	no	—
682	C₂²	—	2	4	no	—
683	C₂²	—	4	2	no	—
684	C₂²	—	4	2	no	—
685	C₂²	—	4	2	no	—
686	C₂²	—	4	1	no	—
687	C₂²	—	4	2	no	—
688	C₂²	—	4	2	no	—
689	C₂²	—	4	1	no	—
690	C₂²	C₂³×D₄×C₅₉	1	1	yes	characteristic
691	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
692	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
693	C₂²	C₂×2₋¹⁺⁴×C₅₉	1	2	yes	—
694	C₂²	C₅₉×#585	1	2	yes	—
695	C₄	—	2	4	no	—
696	C₄	—	2	4	no	—
697	C₄	—	2	2	no	—
698	C₄	—	2	2	no	—
699	C₄	—	2	4	no	—
700	C₄	—	2	2	no	—
701	C₄	—	4	4	no	—
702	C₄	—	4	2	no	—
703	C₄	—	4	2	no	—
704	C₄	—	4	1	no	—
705	C₄	—	4	2	no	—
706	C₄	—	4	2	no	—
707	C₄	—	4	4	no	—
708	C₄	—	4	1	no	—
709	C₄	C₅₉×#525	1	4	yes	—
710	C₂	—	4	4	no	—
711	C₂	—	4	2	no	—
712	C₂	C₂×C₅₉×#525	1	1	yes	characteristic
713	C₂	C₅₉×#3486	1	1	yes	characteristic
714	C₂	C₅₉×#3495	1	2	yes	—
715	C₂	C₅₉×#3500	1	1	yes	characteristic
716	C₂	C₅₉×#3516	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₅₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₉
prime radical	C₅₉×#392	C₂²
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×#554	C₂	semidirect
2. C₂×C₅₉×#519	C₂	semidirect
3. C₅₉×#2634	C₂	semidirect
4. C₅₉×#2628	C₂	semidirect
5. C₅₉×#2611	C₂	semidirect
7. C₅₉×#2568	C₂	semidirect
8. C₅₉×#2536	C₂	semidirect
9. C₅₉×#2477	C₂	semidirect
10. C₅₉×#2465	C₂	semidirect
11. C₅₉×#2421	C₂	semidirect
12. C₅₉×#2409	C₂	semidirect
13. C₅₉×#2398	C₂	semidirect
15. C₅₉×#2360	C₂	semidirect
16. C₅₉×#2356	C₂	semidirect
17. C₅₉×#2352	C₂	semidirect
108. C₄×Q₈×C₅₉	D₄	semidirect
319. #35738	C₅₉	direct (N × H)
352. C₂×#554	C₂×C₅₉	semidirect
353. C₂×#519	C₂×C₅₉	semidirect
354. #2634	C₂×C₅₉	semidirect
355. #2628	C₂×C₅₉	semidirect
356. #2611	C₂×C₅₉	semidirect
358. #2568	C₂×C₅₉	semidirect
359. #2536	C₂×C₅₉	semidirect
360. #2477	C₂×C₅₉	semidirect
361. #2465	C₂×C₅₉	semidirect
362. #2421	C₂×C₅₉	semidirect
363. #2409	C₂×C₅₉	semidirect
364. #2398	C₂×C₅₉	semidirect
366. #2360	C₂×C₅₉	semidirect
367. #2356	C₂×C₅₉	semidirect
368. #2352	C₂×C₅₉	semidirect
443. C₅₉	#35738	direct (N × H)
467. C₄×Q₈	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×#554	2
C₂×C₅₉×#519	2
C₅₉×#2634	2
C₅₉×#2628	2
C₅₉×#2611	2
C₅₉×#2598	2
C₅₉×#2568	2
C₅₉×#2536	2
C₅₉×#2477	2
C₅₉×#2465	2
C₅₉×#2421	2
C₅₉×#2409	2
C₅₉×#2398	2
C₅₉×#2392	2
C₅₉×#2360	2
C₅₉×#2356	2
C₅₉×#2352	2
#35738	59

Subgroups — C59×#35738 #28447847

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₉×#35738 #28447847