Subgroups — #21433169

Order 7552.

402 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#16837948	C₂	1	1	yes	maximal, characteristic
2	#16837478	C₂	1	1	yes	maximal, characteristic, complemented
3	#16837477	C₂	1	1	yes	maximal, characteristic, complemented
4	#16837476	C₂	1	1	yes	maximal, characteristic, complemented
5	#16837473	C₂	1	1	yes	maximal, characteristic, complemented
6	#16837471	C₂	1	1	yes	maximal, characteristic, complemented
7	#16837470	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈×C₂²⋊D₅₉	C₂	1	1	yes	maximal, characteristic, complemented
9	(C₂²⋊D₅₉)⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
10	#16837456	C₂	1	1	yes	maximal, characteristic, complemented
11	#16837452	C₂	1	1	yes	maximal, characteristic, complemented
12	#16837369	C₂	1	1	yes	maximal, characteristic, complemented
13	#16837367	C₂	1	1	yes	maximal, characteristic, complemented
14	#16837367	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#408	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11745685	C₂²	1	1	yes	characteristic
17	C₂×#11745664	C₂²	1	1	yes	characteristic
18	C₂×#11745659	C₂²	1	1	yes	characteristic
19	C₂×#11745659	C₂²	1	1	yes	characteristic
20	C₂²×C₅₉⋊C₈	C₂²	1	1	yes	characteristic
21	C₂×C₈×D₅₉	C₂²	1	1	yes	characteristic
22	C₂×C₈×D₅₉	C₂²	1	1	yes	characteristic
23	#14273725	C₄	1	1	yes	characteristic
24	#14273723	C₄	1	1	yes	characteristic
25	#14273716	C₄	1	1	yes	characteristic
26	#14273714	C₄	1	1	yes	characteristic
27	#14273699	C₄	1	1	yes	characteristic
28	#14273699	C₄	1	1	yes	characteristic
29	#14273699	C₄	1	1	yes	characteristic
30	#14273699	C₄	1	1	yes	characteristic
31	C₄×C₂²⋊D₅₉	C₂²	1	1	yes	characteristic
32	C₄×C₂²⋊D₅₉	C₂²	1	1	yes	characteristic
33	C₄×C₂²⋊D₅₉	C₂²	1	1	yes	characteristic
34	C₄×C₂²⋊D₅₉	C₂²	1	1	yes	characteristic
35	C₂×C₄×Dic₅₉	C₂²	1	1	yes	characteristic
36	Dic₅₉⋊C₈	C₂²	1	1	yes	characteristic
37	Dic₅₉⋊C₈	C₂²	1	1	yes	characteristic
38	Dic₅₉⋊C₈	C₂²	1	1	yes	characteristic
39	Dic₅₉⋊C₈	C₂²	1	1	yes	characteristic
40	C₂²⋊(C₅₉⋊C₈)	C₂²	1	1	yes	characteristic
41	C₂²⋊(C₅₉⋊C₈)	C₂²	1	1	yes	characteristic
42	C₂²⋊(C₅₉⋊C₈)	C₂²	1	1	yes	characteristic
43	C₂²⋊(C₅₉⋊C₈)	C₂²	1	1	yes	characteristic
44	(C₂×D₅₉)⋊C₈	C₂²	1	1	yes	characteristic
45	(C₂×D₅₉)⋊C₈	C₂²	1	1	yes	characteristic
46	(C₂×D₅₉)⋊C₈	C₂²	1	1	yes	characteristic
47	(C₂×D₅₉)⋊C₈	C₂²	1	1	yes	characteristic
48	#14273637	C₂²	1	1	yes	characteristic
49	#14273637	C₂²	1	1	yes	characteristic
50	C₈×Dic₅₉	C₂²	1	1	yes	characteristic
51	C₈×Dic₅₉	C₂²	1	1	yes	characteristic
52	C₂×#41×C₅₉	C₂²	1	1	yes	characteristic
53	C₂×M₁₆×C₅₉	C₂²	1	1	yes	characteristic
54	C₂²×C₈×C₅₉	C₂²	1	1	yes	characteristic
55	C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
56	C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
57	C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
58	C₂²⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
59	#41×C₅₉	—	4	1	no	—
60	#41×C₅₉	—	4	1	no	—
61	C₂×Q₈×C₅₉	C₂×C₄	1	1	yes	characteristic
62	C₂×D₄×C₅₉	C₂×C₄	1	1	yes	characteristic
63	C₂×D₄×C₅₉	C₂×C₄	1	1	yes	characteristic
64	C₂×D₄×C₅₉	C₂×C₄	1	1	yes	characteristic
65	C₂²×C₄×C₅₉	C₂³	1	1	yes	characteristic
66	C₂²×C₄×C₅₉	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₅₉	C₂³	1	1	yes	characteristic
68	C₂×C₂²⋊D₅₉	C₂×C₄	1	1	yes	characteristic
69	C₂×C₂²⋊D₅₉	C₂×C₄	1	1	yes	characteristic
70	C₂×C₂²⋊D₅₉	C₂×C₄	1	1	yes	characteristic
71	C₂×C₂²⋊D₅₉	C₂×C₄	1	1	yes	characteristic
72	C₂×C₂²⋊D₅₉	C₂×C₄	1	1	yes	characteristic
73	C₂×C₂²⋊D₅₉	C₂×C₄	1	1	yes	characteristic
74	C₂²×Dic₅₉	C₂×C₄	1	1	yes	characteristic
75	C₂²×Dic₅₉	C₂×C₄	1	1	yes	characteristic
76	#11745685	—	4	1	no	—
77	#11745685	—	4	1	no	—
78	C₂×D₂₃₆	C₂×C₄	1	1	yes	characteristic
79	C₂×C₄×D₅₉	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₅₉	C₂³	1	1	yes	characteristic
81	C₂×Dic₁₁₈	C₂×C₄	1	1	yes	characteristic
82	M₁₆×C₅₉	—	4	1	no	—
83	C₂×C₈×C₅₉	—	4	1	no	—
84	C₂×C₈×C₅₉	C₂³	1	1	yes	characteristic
85	C₂×C₈×C₅₉	C₂³	1	1	yes	characteristic
86	C₂×C₈×C₅₉	C₂³	1	1	yes	characteristic
87	C₂×C₈×C₅₉	C₂³	1	1	yes	characteristic
88	C₂²⋊Dic₅₉	C₂×C₄	1	1	yes	characteristic
89	C₂²⋊Dic₅₉	C₂×C₄	1	1	yes	characteristic
90	C₂²⋊Dic₅₉	C₂×C₄	1	1	yes	characteristic
91	C₂²⋊Dic₅₉	C₂×C₄	1	1	yes	characteristic
92	(C₂×D₅₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
93	(C₂×D₅₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
94	(C₂×D₅₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
95	(C₂×D₅₉)⋊C₄	C₂×C₄	1	1	yes	characteristic
96	Dic₅₉⋊C₄	C₂×C₄	1	1	yes	characteristic
97	Dic₅₉⋊C₄	C₂×C₄	1	1	yes	characteristic
98	Dic₅₉⋊C₄	C₂×C₄	1	1	yes	characteristic
99	Dic₅₉⋊C₄	C₂×C₄	1	1	yes	characteristic
100	C₄×Dic₅₉	C₂×C₄	1	1	yes	characteristic
101	C₄×Dic₅₉	C₂×C₄	1	1	yes	characteristic
102	C₄×Dic₅₉	C₂³	1	1	yes	characteristic
103	C₄×Dic₅₉	C₂³	1	1	yes	characteristic
104	#11745664	—	4	1	no	—
105	C₂×C₅₉⋊C₈	—	4	1	no	—
106	C₂×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
107	C₂×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
108	C₂×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
109	C₂×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
110	#11745659	—	4	1	no	—
111	#11745659	—	4	1	no	—
112	C₈×D₅₉	—	4	1	no	—
113	C₈×D₅₉	—	4	1	no	—
114	C₂³×C₅₉	C₂²×C₄	1	1	yes	characteristic
115	C₂³×C₅₉	C₂²×C₄	1	1	yes	characteristic
116	C₂³×C₅₉	C₂²×C₄	1	1	yes	characteristic
117	C₂²×D₅₉	C₂²×C₄	1	1	yes	characteristic
118	C₂²×D₅₉	C₂²×C₄	1	1	yes	characteristic
119	Q₈×C₅₉	—	4	1	no	—
120	D₄×C₅₉	—	4	1	no	—
121	D₄×C₅₉	—	4	1	no	—
122	D₄×C₅₉	—	4	1	no	—
123	C₂×C₄×C₅₉	—	2	1	no	—
124	C₂×C₄×C₅₉	—	2	1	no	—
125	C₂×C₄×C₅₉	—	2	1	no	—
126	C₂×C₄×C₅₉	—	2	1	no	—
127	C₂×C₄×C₅₉	—	2	1	no	—
128	C₂×C₄×C₅₉	—	2	1	no	—
129	C₂×C₄×C₅₉	C₂²×C₄	1	1	yes	characteristic
130	C₂×C₄×C₅₉	C₂²×C₄	1	1	yes	characteristic
131	C₂×C₄×C₅₉	C₂²×C₄	1	1	yes	characteristic
132	C₂×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
133	C₂²⋊D₅₉	—	2	2	no	—
134	C₂²⋊D₅₉	—	2	2	no	—
135	C₂²⋊D₅₉	—	4	1	no	—
136	C₂²⋊D₅₉	—	4	1	no	—
137	C₂²⋊D₅₉	—	4	1	no	—
138	C₂²⋊D₅₉	—	4	1	no	—
139	C₂×Dic₅₉	—	2	2	no	—
140	C₂×Dic₅₉	—	4	1	no	—
141	C₂×Dic₅₉	C₂²×C₄	1	1	yes	characteristic
142	C₂×Dic₅₉	C₂²×C₄	1	1	yes	characteristic
143	C₂×Dic₅₉	C₂²×C₄	1	1	yes	characteristic
144	C₂×Dic₅₉	C₂²×C₄	1	1	yes	characteristic
145	C₂×Dic₅₉	C₂²×C₄	1	1	yes	characteristic
146	C₂×Dic₅₉	C₂²×C₄	1	1	yes	characteristic
147	D₂₃₆	—	4	1	no	—
148	C₄×D₅₉	—	2	1	no	—
149	C₄×D₅₉	—	2	1	no	—
150	C₄×D₅₉	—	2	1	no	—
151	C₄×D₅₉	—	2	1	no	—
152	Dic₁₁₈	—	4	1	no	—
153	C₈×C₅₉	—	2	1	no	—
154	C₈×C₅₉	—	2	1	no	—
155	C₈×C₅₉	—	2	1	no	—
156	C₈×C₅₉	—	2	1	no	—
157	C₅₉⋊C₈	—	2	1	no	—
158	C₅₉⋊C₈	—	2	1	no	—
159	C₅₉⋊C₈	—	2	1	no	—
160	C₅₉⋊C₈	—	2	1	no	—
161	C₂²×C₅₉	—	2	1	no	—
162	C₂²×C₅₉	—	2	1	no	—
163	C₂²×C₅₉	—	2	1	no	—
164	C₂²×C₅₉	—	2	1	no	—
165	C₂²×C₅₉	—	2	1	no	—
166	C₂²×C₅₉	—	2	1	no	—
167	C₂²×C₅₉	—	2	1	no	—
168	C₂²×C₅₉	—	2	1	no	—
169	C₂²×C₅₉	—	2	1	no	—
170	C₂²×C₅₉	C₂³×C₄	1	1	yes	characteristic
171	C₂×D₅₉	—	2	1	no	—
172	C₂×D₅₉	—	2	1	no	—
173	C₂×D₅₉	—	2	1	no	—
174	C₂×D₅₉	—	2	1	no	—
175	C₂×D₅₉	—	2	1	no	—
176	C₂×D₅₉	—	2	1	no	—
177	C₄×C₅₉	—	2	1	no	—
178	C₄×C₅₉	—	2	1	no	—
179	C₄×C₅₉	—	2	1	no	—
180	C₄×C₅₉	H(5,𝔽₂)	1	1	yes	characteristic
181	C₄×C₅₉	H(5,𝔽₂)	1	1	yes	characteristic
182	Dic₅₉	—	2	1	no	—
183	Dic₅₉	—	2	1	no	—
184	Dic₅₉	—	2	1	no	—
185	Dic₅₉	—	2	1	no	—
186	Dic₅₉	—	2	1	no	—
187	Dic₅₉	#131	1	2	yes	—
188	#2981	—	59	1	no	maximal, Sylow
189	C₂×C₅₉	—	4	1	no	—
190	C₂×C₅₉	—	4	1	no	—
191	C₂×C₅₉	—	4	1	no	—
192	C₂×C₅₉	#518	1	1	yes	characteristic
193	C₂×C₅₉	C₂×#131	1	1	yes	characteristic
194	C₂×C₅₉	#568	1	1	yes	characteristic
195	D₅₉	—	4	1	no	—
196	D₅₉	—	4	1	no	—
197	#532	—	59	1	no	—
198	#436	—	59	1	no	—
199	#436	—	59	1	no	—
200	#435	—	59	1	no	—
201	#435	—	59	1	no	—
202	#435	—	59	1	no	—
203	#435	—	59	1	no	—
204	C₈×D₄	—	59	1	no	—
205	C₈×D₄	—	59	1	no	—
206	#432	—	59	1	no	—
207	#431	—	59	1	no	—
208	#408	—	59	1	no	—
209	#408	—	59	1	no	—
210	#408	—	59	1	no	—
211	#408	D₅₉	1	1	yes	characteristic, complemented
212	C₅₉	#2981	1	1	yes	characteristic, complemented, Sylow
213	C₂×#41	—	59	1	no	—
214	C₂×#41	C₂×D₅₉	1	1	yes	characteristic
215	C₂×M₁₆	—	59	1	no	—
216	C₂×M₁₆	—	59	1	no	—
217	C₂×M₁₆	—	59	1	no	—
218	C₂×M₁₆	C₂×D₅₉	1	1	yes	characteristic
219	C₂²×C₈	—	59	1	no	—
220	C₂²×C₈	—	59	1	no	—
221	C₂²×C₈	—	59	1	no	—
222	C₂²×C₈	C₂×D₅₉	1	1	yes	characteristic
223	C₄⋊Q₈	—	59	1	no	—
224	#127	—	59	1	no	—
225	#124	—	59	1	no	—
226	#124	—	59	1	no	—
227	#121	—	59	1	no	—
228	#121	—	59	1	no	—
229	#121	—	59	1	no	—
230	#121	—	59	1	no	—
231	C₄×D₄	—	59	1	no	—
232	C₄×D₄	—	59	1	no	—
233	C₄×D₄	—	59	1	no	—
234	C₄×D₄	—	59	1	no	—
235	C₂×C₄²	—	59	1	no	—
236	C₄⋊C₈	—	59	1	no	—
237	C₄⋊C₈	—	59	1	no	—
238	C₄⋊C₈	—	59	1	no	—
239	C₄⋊C₈	—	59	1	no	—
240	C₂²⋊C₈	—	59	1	no	—
241	C₂²⋊C₈	—	59	1	no	—
242	C₂²⋊C₈	—	59	1	no	—
243	C₂²⋊C₈	—	59	1	no	—
244	C₂²⋊C₈	—	59	1	no	—
245	C₂²⋊C₈	—	59	1	no	—
246	C₂²⋊C₈	—	59	1	no	—
247	C₂²⋊C₈	—	59	1	no	—
248	C₂²⋊C₈	C₂×D₅₉	1	1	yes	characteristic
249	C₂²⋊C₈	C₂×D₅₉	1	1	yes	characteristic
250	C₂²⋊C₈	C₂×D₅₉	1	1	yes	characteristic
251	C₂²⋊C₈	C₂×D₅₉	1	1	yes	characteristic
252	#97	—	59	1	no	—
253	#97	—	59	1	no	—
254	C₄×C₈	—	59	1	no	—
255	C₄×C₈	—	59	1	no	—
256	#41	—	4	1	no	—
257	#41	—	4	1	no	—
258	#41	—	236	1	no	—
259	#41	—	236	1	no	—
260	C₂×Q₈	—	59	1	no	—
261	C₂×Q₈	C₄×D₅₉	1	1	yes	characteristic
262	C₂×D₄	—	59	1	no	—
263	C₂×D₄	—	59	1	no	—
264	C₂×D₄	—	59	1	no	—
265	C₂×D₄	—	59	1	no	—
266	C₂×D₄	—	59	1	no	—
267	C₂×D₄	—	59	1	no	—
268	C₂×D₄	—	59	1	no	—
269	C₂×D₄	C₄×D₅₉	1	1	yes	characteristic
270	C₂×D₄	C₄×D₅₉	1	1	yes	characteristic
271	C₂×D₄	C₄×D₅₉	1	1	yes	characteristic
272	C₂²×C₄	—	59	1	no	—
273	C₂²×C₄	—	59	1	no	—
274	C₂²×C₄	—	59	1	no	—
275	C₂²×C₄	—	59	1	no	—
276	C₂²×C₄	C₂²×D₅₉	1	1	yes	characteristic
277	C₂²×C₄	C₂²×D₅₉	1	1	yes	characteristic
278	C₂²×C₄	C₂²×D₅₉	1	1	yes	characteristic
279	M₁₆	—	4	1	no	—
280	M₁₆	—	236	1	no	—
281	M₁₆	—	236	1	no	—
282	M₁₆	—	236	1	no	—
283	C₂×C₈	—	4	1	no	—
284	C₂×C₈	—	59	1	no	—
285	C₂×C₈	—	59	1	no	—
286	C₂×C₈	—	59	1	no	—
287	C₂×C₈	—	59	1	no	—
288	C₂×C₈	—	236	1	no	—
289	C₂×C₈	—	236	1	no	—
290	C₂×C₈	—	236	1	no	—
291	C₂×C₈	C₂²×D₅₉	1	1	yes	characteristic
292	C₂×C₈	C₂²×D₅₉	1	1	yes	characteristic
293	C₂×C₈	C₂²×D₅₉	1	1	yes	characteristic
294	C₂×C₈	C₂²×D₅₉	1	1	yes	characteristic
295	C₄⋊C₄	—	59	1	no	—
296	C₄⋊C₄	—	59	1	no	—
297	C₄⋊C₄	—	59	1	no	—
298	C₄⋊C₄	—	59	1	no	—
299	C₂²⋊C₄	—	59	1	no	—
300	C₂²⋊C₄	—	59	1	no	—
301	C₂²⋊C₄	—	59	1	no	—
302	C₂²⋊C₄	—	59	1	no	—
303	C₂²⋊C₄	—	59	1	no	—
304	C₂²⋊C₄	—	59	1	no	—
305	C₂²⋊C₄	—	59	1	no	—
306	C₂²⋊C₄	—	59	1	no	—
307	C₄²	—	59	1	no	—
308	C₄²	—	59	1	no	—
309	C₄²	—	59	1	no	—
310	C₄²	—	59	1	no	—
311	C₂³	—	59	1	no	—
312	C₂³	—	59	1	no	—
313	C₂³	C₂×C₄×D₅₉	1	1	yes	characteristic
314	C₂³	C₂×C₄×D₅₉	1	1	yes	characteristic
315	C₂³	C₂×C₄×D₅₉	1	1	yes	characteristic
316	Q₈	—	4	1	no	—
317	Q₈	—	236	1	no	—
318	D₄	—	4	1	no	—
319	D₄	—	4	1	no	—
320	D₄	—	4	1	no	—
321	D₄	—	118	2	no	—
322	D₄	—	118	2	no	—
323	D₄	—	236	1	no	—
324	D₄	—	236	1	no	—
325	D₄	—	236	1	no	—
326	D₄	—	236	1	no	—
327	D₄	—	236	1	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	1	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	59	1	no	—
335	C₂×C₄	—	59	1	no	—
336	C₂×C₄	—	59	1	no	—
337	C₂×C₄	—	59	1	no	—
338	C₂×C₄	—	59	1	no	—
339	C₂×C₄	—	59	1	no	—
340	C₂×C₄	—	118	2	no	—
341	C₂×C₄	—	118	1	no	—
342	C₂×C₄	—	118	1	no	—
343	C₂×C₄	—	118	1	no	—
344	C₂×C₄	—	118	1	no	—
345	C₂×C₄	—	236	1	no	—
346	C₂×C₄	C₂×C₄×D₅₉	1	1	yes	characteristic
347	C₂×C₄	C₂×C₄×D₅₉	1	1	yes	characteristic
348	C₂×C₄	C₂×C₄×D₅₉	1	1	yes	characteristic
349	C₂×C₄	C₂³×D₅₉	1	1	yes	characteristic
350	C₈	—	2	1	no	—
351	C₈	—	2	1	no	—
352	C₈	—	2	1	no	—
353	C₈	—	2	1	no	—
354	C₈	—	118	1	no	—
355	C₈	—	118	1	no	—
356	C₈	—	118	1	no	—
357	C₈	—	118	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	1	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	118	1	no	—
368	C₂²	—	118	1	no	—
369	C₂²	—	118	1	no	—
370	C₂²	—	118	1	no	—
371	C₂²	—	118	1	no	—
372	C₂²	—	118	1	no	—
373	C₂²	C₂²×C₄×D₅₉	1	1	yes	characteristic
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	2	1	no	—
377	C₄	—	59	2	no	—
378	C₄	—	118	1	no	—
379	C₄	—	118	1	no	—
380	C₄	—	118	1	no	—
381	C₄	—	118	1	no	—
382	C₄	—	118	1	no	—
383	C₄	#14273772	1	1	yes	characteristic
384	C₄	#14273772	1	1	yes	characteristic
385	C₂	—	4	1	no	—
386	C₂	—	4	1	no	—
387	C₂	—	4	1	no	—
388	C₂	—	236	1	no	—
389	C₂	—	236	1	no	—
390	C₂	#16837875	1	1	yes	characteristic
391	C₂	#131×D₅₉	1	1	yes	characteristic
392	C₂	#16838167	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×D₅₉
commutator, socle	C₂²×C₅₉	C₂³×C₄
Fitting	C₅₉×#408	C₂
hypercenter	#408	D₅₉
hypocenter	C₅₉	#2981
LCS	G ▷ C₂²×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂×C₄ ◁ #408

Complements

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

N	H ≅ G/N	type
2. #16837478	C₂	semidirect
3. #16837477	C₂	semidirect
4. #16837476	C₂	semidirect
5. #16837473	C₂	semidirect
6. #16837471	C₂	semidirect
7. #16837470	C₂	semidirect
8. C₈×C₂²⋊D₅₉	C₂	semidirect
9. (C₂²⋊D₅₉)⋊C₈	C₂	semidirect
10. #16837456	C₂	semidirect
11. #16837452	C₂	semidirect
12. #16837369	C₂	semidirect
13. #16837367	C₂	semidirect
14. #16837367	C₂	semidirect
15. C₅₉×#408	C₂	semidirect
211. #408	D₅₉	semidirect
212. C₅₉	#2981	semidirect