Subgroups — #28484116

Order 15104.

564 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21433120	C₂	1	1	yes	maximal, characteristic, complemented
2	#21422487	C₂	1	1	yes	maximal, characteristic, complemented
3	#21422487	C₂	1	1	yes	maximal, characteristic, complemented
4	#21422417	C₂	1	1	yes	maximal, characteristic, complemented
5	#21421941	C₂	1	1	yes	maximal, characteristic, complemented
6	#21421927	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₅₉×#442	C₂	1	1	yes	maximal, characteristic
8	D₄×C₅₉⋊C₈	—	2	2	no	—
9	D₄×C₅₉⋊C₈	—	2	2	no	—
10	#16837455	C₂²	1	1	yes	characteristic
11	#16837455	C₂²	1	1	yes	characteristic
12	#16837455	C₂²	1	1	yes	characteristic
13	#16837455	C₂²	1	1	yes	characteristic
14	C₂×C₂²⋊(C₅₉⋊C₈)	—	2	2	no	—
15	D₄⋊(C₅₉⋊C₈)	—	2	2	no	—
16	D₄⋊(C₅₉⋊C₈)	—	2	2	no	—
17	#16837126	—	2	2	no	—
18	C₂²×D₈×C₅₉	C₄	1	1	yes	characteristic
19	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
20	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
21	C₅₉×#442	—	2	2	no	—
22	C₅₉×#442	—	2	2	no	—
23	C₂×#106×C₅₉	C₄	1	1	yes	characteristic
24	C₂×#102×C₅₉	C₄	1	1	yes	characteristic
25	C₂×#102×C₅₉	C₄	1	1	yes	characteristic
26	C₂×#97×C₅₉	C₂²	1	1	yes	characteristic
27	C₂²×C₅₉⋊C₈	—	2	4	no	—
28	C₄⋊(C₅₉⋊C₈)	—	2	1	no	—
29	C₄⋊(C₅₉⋊C₈)	—	2	1	no	—
30	C₄⋊(C₅₉⋊C₈)	—	2	1	no	—
31	C₄⋊(C₅₉⋊C₈)	—	2	1	no	—
32	C₂²⋊(C₅₉⋊C₈)	—	2	4	no	—
33	C₂²⋊(C₅₉⋊C₈)	—	2	1	no	—
34	C₂²⋊(C₅₉⋊C₈)	—	2	1	no	—
35	C₂²⋊(C₅₉⋊C₈)	—	2	1	no	—
36	C₂²⋊(C₅₉⋊C₈)	D₄	1	2	yes	—
37	C₄×C₅₉⋊C₈	—	2	1	no	—
38	C₄×C₅₉⋊C₈	—	2	1	no	—
39	C₄×C₅₉⋊C₈	—	2	1	no	—
40	C₄×C₅₉⋊C₈	D₄	1	2	yes	—
41	C₂²×D₄×C₅₉	C₂×C₄	1	1	yes	characteristic
42	C₂²×D₄×C₅₉	C₂×C₄	1	1	yes	characteristic
43	C₂³×C₄×C₅₉	—	2	1	no	—
44	C₂³×C₄×C₅₉	—	2	1	no	—
45	C₂×D₈×C₅₉	—	2	2	no	—
46	C₂×D₈×C₅₉	—	2	2	no	—
47	C₂×D₈×C₅₉	C₈	1	4	yes	complemented
48	C₂²×C₈×C₅₉	C₂×C₄	1	1	yes	characteristic
49	C₂²×C₈×C₅₉	C₂×C₄	1	1	yes	characteristic
50	C₄×D₄×C₅₉	—	2	1	no	—
51	C₄×D₄×C₅₉	—	2	1	no	—
52	C₄×D₄×C₅₉	—	2	1	no	—
53	C₄×D₄×C₅₉	—	2	1	no	—
54	C₄×D₄×C₅₉	—	2	1	no	—
55	C₄×D₄×C₅₉	—	2	1	no	—
56	C₄×D₄×C₅₉	D₄	1	2	yes	—
57	C₄×D₄×C₅₉	D₄	1	2	yes	—
58	C₂×C₄⋊C₄×C₅₉	C₂×C₄	1	1	yes	characteristic
59	C₂×C₄⋊C₄×C₅₉	C₂×C₄	1	1	yes	characteristic
60	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
61	C₂×C₂²⋊C₄×C₅₉	—	2	1	no	—
62	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
63	#106×C₅₉	—	2	2	no	—
64	#102×C₅₉	—	2	2	no	—
65	#102×C₅₉	—	2	2	no	—
66	#97×C₅₉	—	2	1	no	—
67	#97×C₅₉	—	2	1	no	—
68	C₂⁴×C₅₉	—	2	1	no	—
69	C₂⁴×C₅₉	—	2	1	no	—
70	C₂×D₄×C₅₉	—	2	1	no	—
71	C₂×D₄×C₅₉	—	2	1	no	—
72	C₂×D₄×C₅₉	—	2	1	no	—
73	C₂×D₄×C₅₉	—	2	1	no	—
74	C₂×D₄×C₅₉	—	2	1	no	—
75	C₂×D₄×C₅₉	—	2	1	no	—
76	C₂×D₄×C₅₉	—	2	1	no	—
77	C₂×D₄×C₅₉	—	2	1	no	—
78	C₂×D₄×C₅₉	C₂²⋊C₄	1	2	yes	—
79	C₂×D₄×C₅₉	C₂×C₈	1	2	yes	—
80	C₂×D₄×C₅₉	C₂×C₈	1	2	yes	complemented
81	C₂×D₄×C₅₉	M₁₆	1	2	yes	—
82	C₂²×C₄×C₅₉	—	2	1	no	—
83	C₂²×C₄×C₅₉	—	2	2	no	—
84	C₂²×C₄×C₅₉	—	2	2	no	—
85	C₂²×C₄×C₅₉	—	2	1	no	—
86	C₂²×C₄×C₅₉	—	4	1	no	—
87	C₂²×C₄×C₅₉	—	4	1	no	—
88	C₂²×C₄×C₅₉	—	8	2	no	—
89	C₂²×C₄×C₅₉	—	8	2	no	—
90	C₂²×C₄×C₅₉	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₅₉	#41	1	1	yes	characteristic
93	D₈×C₅₉	—	2	8	no	—
94	C₂×C₈×C₅₉	—	2	1	no	—
95	C₂×C₈×C₅₉	—	2	1	no	—
96	C₂×C₈×C₅₉	—	2	1	no	—
97	C₂×C₈×C₅₉	—	2	1	no	—
98	C₂×C₈×C₅₉	—	2	1	no	—
99	C₂×C₈×C₅₉	C₂×C₈	1	2	yes	complemented
100	C₄⋊C₄×C₅₉	—	2	1	no	—
101	C₄⋊C₄×C₅₉	—	2	1	no	—
102	C₄⋊C₄×C₅₉	—	2	1	no	—
103	C₄⋊C₄×C₅₉	C₂²⋊C₄	1	2	yes	—
104	C₂²⋊C₄×C₅₉	—	2	2	no	—
105	C₂²⋊C₄×C₅₉	—	2	2	no	—
106	C₂²⋊C₄×C₅₉	—	4	1	no	—
107	C₂²⋊C₄×C₅₉	—	4	1	no	—
108	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
109	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
110	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
111	C₄²×C₅₉	#41	1	1	yes	characteristic
112	C₂×C₅₉⋊C₈	—	2	2	no	—
113	C₂×C₅₉⋊C₈	—	2	2	no	—
114	C₂×C₅₉⋊C₈	—	4	1	no	—
115	C₂×C₅₉⋊C₈	—	4	1	no	—
116	C₂×C₅₉⋊C₈	—	8	4	no	—
117	C₂³×C₅₉	—	2	2	no	—
118	C₂³×C₅₉	—	2	2	no	—
119	C₂³×C₅₉	—	2	2	no	—
120	C₂³×C₅₉	—	2	2	no	—
121	C₂³×C₅₉	—	4	1	no	—
122	C₂³×C₅₉	—	4	1	no	—
123	C₂³×C₅₉	—	8	1	no	—
124	C₂³×C₅₉	—	8	1	no	—
125	C₂³×C₅₉	—	8	1	no	—
126	C₂³×C₅₉	—	8	1	no	—
127	C₂³×C₅₉	C₄×D₄	1	1	yes	characteristic
128	D₄×C₅₉	—	2	2	no	—
129	D₄×C₅₉	—	2	2	no	—
130	D₄×C₅₉	—	2	2	no	—
131	D₄×C₅₉	—	2	2	no	—
132	D₄×C₅₉	—	2	2	no	—
133	D₄×C₅₉	—	4	1	no	—
134	D₄×C₅₉	—	4	1	no	—
135	D₄×C₅₉	C₂²⋊C₈	1	4	yes	—
136	C₂×C₄×C₅₉	—	2	2	no	—
137	C₂×C₄×C₅₉	—	4	1	no	—
138	C₂×C₄×C₅₉	—	4	1	no	—
139	C₂×C₄×C₅₉	—	4	4	no	—
140	C₂×C₄×C₅₉	—	4	1	no	—
141	C₂×C₄×C₅₉	—	8	2	no	—
142	C₂×C₄×C₅₉	—	8	2	no	—
143	C₂×C₄×C₅₉	—	8	2	no	—
144	C₂×C₄×C₅₉	—	8	1	no	—
145	C₂×C₄×C₅₉	—	8	1	no	—
146	C₂×C₄×C₅₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
147	C₂×C₄×C₅₉	C₄×D₄	1	1	yes	characteristic
148	C₂×C₄×C₅₉	#120	1	1	yes	characteristic
149	C₂×C₄×C₅₉	#121	1	1	yes	characteristic
150	C₂×C₄×C₅₉	#121	1	1	yes	characteristic
151	C₂×C₄×C₅₉	#123	1	1	yes	characteristic
152	C₂×C₄×C₅₉	C₂²×C₈	1	1	yes	characteristic
153	C₂×C₄×C₅₉	C₂×M₁₆	1	1	yes	characteristic
154	C₂×C₄×C₅₉	#131	1	1	yes	characteristic
155	C₂×C₄×C₅₉	#131	1	1	yes	characteristic
156	C₈×C₅₉	—	2	2	no	—
157	C₈×C₅₉	—	4	1	no	—
158	C₅₉⋊C₈	—	4	2	no	—
159	C₅₉⋊C₈	—	4	2	no	—
160	C₅₉⋊C₈	—	8	1	no	—
161	C₅₉⋊C₈	—	8	1	no	—
162	#9089	—	59	1	no	maximal, Sylow
163	C₂²×C₅₉	—	2	1	no	—
164	C₂²×C₅₉	—	2	1	no	—
165	C₂²×C₅₉	—	2	4	no	—
166	C₂²×C₅₉	—	4	2	no	—
167	C₂²×C₅₉	—	4	2	no	—
168	C₂²×C₅₉	—	4	2	no	—
169	C₂²×C₅₉	—	8	2	no	—
170	C₂²×C₅₉	—	8	2	no	—
171	C₂²×C₅₉	—	8	2	no	—
172	C₂²×C₅₉	—	8	2	no	—
173	C₂²×C₅₉	—	8	1	no	—
174	C₂²×C₅₉	—	8	1	no	—
175	C₂²×C₅₉	#386	1	1	yes	characteristic
176	C₂²×C₅₉	C₈×D₄	1	1	yes	characteristic
177	C₂²×C₅₉	#435	1	1	yes	characteristic
178	C₄×C₅₉	—	2	1	no	—
179	C₄×C₅₉	—	2	1	no	—
180	C₄×C₅₉	—	2	1	no	—
181	C₄×C₅₉	—	2	1	no	—
182	C₄×C₅₉	—	4	2	no	—
183	C₄×C₅₉	—	8	1	no	—
184	C₄×C₅₉	C₂×C₂²⋊C₈	1	1	yes	characteristic
185	C₄×C₅₉	#408	1	1	yes	characteristic
186	C₄×C₅₉	C₈×D₄	1	1	yes	characteristic
187	C₄×C₅₉	#435	1	1	yes	characteristic
188	#2972	—	59	1	no	—
189	C₂×#442	D₅₉	1	1	yes	characteristic
190	#1478	—	59	1	no	—
191	#1478	—	59	1	no	—
192	#1460	—	59	1	no	—
193	#1281	—	59	1	no	—
194	#1275	—	59	1	no	—
195	C₂×C₅₉	—	2	1	no	—
196	C₂×C₅₉	—	2	1	no	—
197	C₂×C₅₉	—	4	4	no	—
198	C₂×C₅₉	—	8	2	no	—
199	C₂×C₅₉	#1869	1	1	yes	characteristic
200	C₂×C₅₉	#1903	1	1	yes	characteristic
201	C₂×C₅₉	#1904	1	1	yes	characteristic
202	C₂²×D₈	Dic₅₉	1	1	yes	characteristic
203	C₂×C₄×D₄	C₂×D₅₉	1	1	yes	characteristic
204	C₂×C₄×D₄	C₂×D₅₉	1	1	yes	characteristic
205	#442	—	2	2	no	—
206	#442	—	2	2	no	—
207	C₈×D₄	—	118	2	no	—
208	C₈×D₄	—	118	2	no	—
209	#431	—	59	1	no	—
210	#431	—	59	1	no	—
211	#431	—	59	1	no	—
212	#431	—	59	1	no	—
213	C₂×#106	Dic₅₉	1	1	yes	characteristic
214	C₂×#102	Dic₅₉	1	1	yes	characteristic
215	C₂×#102	Dic₅₉	1	1	yes	characteristic
216	C₂×C₂²⋊C₈	—	118	2	no	—
217	C₂×#97	C₂×D₅₉	1	1	yes	characteristic
218	D₄⋊C₈	—	118	2	no	—
219	D₄⋊C₈	—	118	2	no	—
220	#323	—	118	2	no	—
221	C₅₉	#9089	1	1	yes	characteristic, complemented, Sylow
222	C₂²×D₄	C₂×Dic₅₉	1	1	yes	characteristic
223	C₂²×D₄	C₂×Dic₅₉	1	1	yes	characteristic
224	C₂³×C₄	—	2	1	no	—
225	C₂³×C₄	—	2	1	no	—
226	C₂×D₈	—	2	2	no	—
227	C₂×D₈	—	2	2	no	—
228	C₂×D₈	C₅₉⋊C₈	1	4	yes	complemented
229	C₂²×C₈	—	118	4	no	—
230	C₂²×C₈	C₂×Dic₅₉	1	1	yes	characteristic
231	C₂²×C₈	C₂×Dic₅₉	1	1	yes	characteristic
232	C₄×D₄	—	2	1	no	—
233	C₄×D₄	—	2	1	no	—
234	C₄×D₄	—	2	1	no	—
235	C₄×D₄	—	2	1	no	—
236	C₄×D₄	—	2	1	no	—
237	C₄×D₄	—	2	1	no	—
238	C₄×D₄	C₂²⋊D₅₉	1	2	yes	—
239	C₄×D₄	C₂²⋊D₅₉	1	2	yes	—
240	C₂×C₄⋊C₄	C₂×Dic₅₉	1	1	yes	characteristic
241	C₂×C₄⋊C₄	C₂×Dic₅₉	1	1	yes	characteristic
242	C₂×C₂²⋊C₄	—	2	1	no	—
243	C₂×C₂²⋊C₄	—	2	1	no	—
244	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
245	#106	—	2	2	no	—
246	C₄⋊C₈	—	118	1	no	—
247	C₄⋊C₈	—	118	1	no	—
248	C₄⋊C₈	—	118	1	no	—
249	C₄⋊C₈	—	118	1	no	—
250	#102	—	2	2	no	—
251	#102	—	2	2	no	—
252	C₂²⋊C₈	—	59	2	no	—
253	C₂²⋊C₈	—	118	4	no	—
254	C₂²⋊C₈	—	118	1	no	—
255	C₂²⋊C₈	—	118	1	no	—
256	C₂²⋊C₈	—	118	1	no	—
257	#97	—	2	1	no	—
258	#97	—	2	1	no	—
259	C₄×C₈	—	59	2	no	—
260	C₄×C₈	—	118	1	no	—
261	C₄×C₈	—	118	1	no	—
262	C₄×C₈	—	118	1	no	—
263	C₂⁴	—	2	1	no	—
264	C₂⁴	—	2	1	no	—
265	C₂×D₄	—	2	1	no	—
266	C₂×D₄	—	2	1	no	—
267	C₂×D₄	—	2	1	no	—
268	C₂×D₄	—	2	1	no	—
269	C₂×D₄	—	2	1	no	—
270	C₂×D₄	—	2	1	no	—
271	C₂×D₄	—	2	1	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	C₂×C₅₉⋊C₈	1	2	yes	—
274	C₂×D₄	C₂×C₅₉⋊C₈	1	2	yes	complemented
275	C₂×D₄	#11745664	1	2	yes	—
276	C₂×D₄	C₂²⋊Dic₅₉	1	2	yes	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	2	1	no	—
281	C₂²×C₄	—	4	1	no	—
282	C₂²×C₄	—	4	1	no	—
283	C₂²×C₄	—	8	2	no	—
284	C₂²×C₄	—	8	2	no	—
285	C₂²×C₄	D₄×D₅₉	1	1	yes	characteristic
286	C₂²×C₄	#11745687	1	1	yes	characteristic
287	C₂²×C₄	C₂²×Dic₅₉	1	1	yes	characteristic
288	D₈	—	2	8	no	—
289	C₂×C₈	—	2	1	no	—
290	C₂×C₈	—	2	1	no	—
291	C₂×C₈	—	2	1	no	—
292	C₂×C₈	—	2	1	no	—
293	C₂×C₈	—	2	1	no	—
294	C₂×C₈	—	118	2	no	—
295	C₂×C₈	—	118	2	no	—
296	C₂×C₈	—	472	4	no	—
297	C₂×C₈	—	236	1	no	—
298	C₂×C₈	—	236	1	no	—
299	C₂×C₈	C₂×C₅₉⋊C₈	1	2	yes	complemented
300	C₄⋊C₄	—	2	1	no	—
301	C₄⋊C₄	—	2	1	no	—
302	C₄⋊C₄	—	2	1	no	—
303	C₄⋊C₄	C₂²⋊Dic₅₉	1	2	yes	—
304	C₂²⋊C₄	—	2	2	no	—
305	C₂²⋊C₄	—	2	2	no	—
306	C₂²⋊C₄	—	4	1	no	—
307	C₂²⋊C₄	—	4	1	no	—
308	C₄²	D₄×D₅₉	1	1	yes	characteristic
309	C₄²	#11745687	1	1	yes	characteristic
310	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
311	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
312	C₂³	—	2	2	no	—
313	C₂³	—	2	2	no	—
314	C₂³	—	2	2	no	—
315	C₂³	—	2	2	no	—
316	C₂³	—	4	1	no	—
317	C₂³	—	4	1	no	—
318	C₂³	—	8	1	no	—
319	C₂³	—	8	1	no	—
320	C₂³	—	8	1	no	—
321	C₂³	—	8	1	no	—
322	C₂³	D₄×Dic₅₉	1	1	yes	characteristic
323	D₄	—	2	2	no	—
324	D₄	—	2	2	no	—
325	D₄	—	2	2	no	—
326	D₄	—	2	2	no	—
327	D₄	—	2	2	no	—
328	D₄	—	4	1	no	—
329	D₄	—	4	1	no	—
330	D₄	C₂²⋊(C₅₉⋊C₈)	1	4	yes	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	4	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	8	2	no	—
337	C₂×C₄	—	8	2	no	—
338	C₂×C₄	—	8	2	no	—
339	C₂×C₄	—	8	1	no	—
340	C₂×C₄	—	8	1	no	—
341	C₂×C₄	C₂×C₂²⋊Dic₅₉	1	1	yes	characteristic
342	C₂×C₄	D₄×Dic₅₉	1	1	yes	characteristic
343	C₂×C₄	#14273695	1	1	yes	characteristic
344	C₂×C₄	#14273699	1	1	yes	characteristic
345	C₂×C₄	#14273699	1	1	yes	characteristic
346	C₂×C₄	#14273708	1	1	yes	characteristic
347	C₂×C₄	C₂²×C₅₉⋊C₈	1	1	yes	characteristic
348	C₂×C₄	C₂×#11745664	1	1	yes	characteristic
349	C₂×C₄	#14273734	1	1	yes	characteristic
350	C₂×C₄	#14273734	1	1	yes	characteristic
351	C₈	—	2	2	no	—
352	C₈	—	4	1	no	—
353	C₈	—	472	1	no	—
354	C₈	—	472	1	no	—
355	C₈	—	236	2	no	—
356	C₈	—	236	2	no	—
357	C₂²	—	2	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	4	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	8	2	no	—
364	C₂²	—	8	2	no	—
365	C₂²	—	8	2	no	—
366	C₂²	—	8	2	no	—
367	C₂²	—	8	1	no	—
368	C₂²	—	8	1	no	—
369	C₂²	#16837282	1	1	yes	characteristic
370	C₂²	D₄×C₅₉⋊C₈	1	1	yes	characteristic
371	C₂²	#16837474	1	1	yes	characteristic
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	4	2	no	—
377	C₄	—	8	1	no	—
378	C₄	C₂×C₂²⋊(C₅₉⋊C₈)	1	1	yes	characteristic
379	C₄	#16837369	1	1	yes	characteristic
380	C₄	D₄×C₅₉⋊C₈	1	1	yes	characteristic
381	C₄	#16837474	1	1	yes	characteristic
382	C₂	—	2	1	no	—
383	C₂	—	2	1	no	—
384	C₂	—	4	4	no	—
385	C₂	—	8	2	no	—
386	C₂	#21424389	1	1	yes	characteristic
387	C₂	#21424578	1	1	yes	characteristic
388	C₂	#21424585	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#16837282
commutator	C₂×C₄×C₅₉	C₂²×C₈
Frattini	C₂×C₄²	C₂²×D₅₉
Fitting	C₂×C₅₉×#442	C₂
socle	C₂²×C₅₉	#386
prime radical	C₂²×D₈×C₅₉	C₄
cosocle	C₂×C₄²×C₅₉	C₂³
hypercenter	C₂×#442	D₅₉
hypocenter	C₅₉	#9089
LCS	G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#442

Complements

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

N	H ≅ G/N	type
1. #21433120	C₂	semidirect
2. #21422487	C₂	semidirect
3. #21422487	C₂	semidirect
4. #21422417	C₂	semidirect
5. #21421941	C₂	semidirect
6. #21421927	C₂	semidirect
47. C₂×D₈×C₅₉	C₈	semidirect
80. C₂×D₄×C₅₉	C₂×C₈	semidirect
99. C₂×C₈×C₅₉	C₂×C₈	semidirect
221. C₅₉	#9089	semidirect
228. C₂×D₈	C₅₉⋊C₈	semidirect
274. C₂×D₄	C₂×C₅₉⋊C₈	semidirect
299. C₂×C₈	C₂×C₅₉⋊C₈	semidirect

Maximal subgroups

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

subgroup	index
#21433120	2
#21422487	2
#21422417	2
#21421941	2
#21421927	2
C₂×C₅₉×#442	2
#9089	59