Subgroups — #21432925

Order 7552.

506 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14273751	C₂	1	1	yes	maximal, characteristic
2	#16837881	C₂	1	1	yes	maximal, characteristic, complemented
3	#16837874	C₂	1	1	yes	maximal, characteristic, complemented
4	#16837511	C₂	1	1	yes	maximal, characteristic, complemented
5	#16837504	C₂	1	1	yes	maximal, characteristic, complemented
6	#16837499	C₂	1	1	yes	maximal, characteristic, complemented
7	#16837489	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄×#11745670	C₂	1	1	yes	maximal, characteristic, complemented
9	D₈×Dic₅₉	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄×#11745669	C₂	1	1	yes	maximal, characteristic, complemented
11	#16837441	C₂	1	1	yes	maximal, characteristic, complemented
12	#16837395	C₂	1	1	yes	maximal, characteristic, complemented
13	#102×D₅₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#16837359	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₉×#442	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11745687	C₂²	1	1	yes	characteristic
17	C₂×D₄×D₅₉	C₂²	1	1	yes	characteristic
18	#14273751	C₄	1	8	yes	complemented
19	C₂×#11745660	C₂²	1	1	yes	characteristic
20	C₂×#11745670	C₂²	1	1	yes	characteristic
21	C₂×#11745669	C₂²	1	1	yes	characteristic
22	C₂×#11745659	C₂²	1	1	yes	characteristic
23	C₂×C₈×D₅₉	C₂²	1	1	yes	characteristic
24	C₄×Dic₁₁₈	C₂²	1	1	yes	characteristic, complemented
25	#14273692	C₂²	1	1	yes	characteristic, complemented
26	C₄×D₂₃₆	C₂²	1	1	yes	characteristic
27	D₄×Dic₅₉	C₂²	1	1	yes	characteristic
28	D₄×Dic₅₉	C₂²	1	1	yes	characteristic, complemented
29	#14273689	C₂²	1	1	yes	characteristic
30	C₄×C₂²⋊D₅₉	—	2	1	no	—
31	C₄×C₂²⋊D₅₉	—	2	1	no	—
32	(C₂²⋊D₅₉)⋊C₄	—	2	1	no	—
33	(C₂²⋊D₅₉)⋊C₄	—	2	1	no	—
34	#14273685	C₂²	1	1	yes	characteristic
35	#14273684	C₂²	1	1	yes	characteristic
36	#14273683	—	2	1	no	—
37	C₂×Dic₅₉⋊C₄	—	2	1	no	—
38	C₄⋊C₄×D₅₉	C₂²	1	1	yes	characteristic
39	C₂×(C₂×D₅₉)⋊C₄	—	2	1	no	—
40	C₂²⋊C₄×D₅₉	—	2	1	no	—
41	#14273661	C₂²	1	1	yes	characteristic, complemented
42	#14273660	C₂²	1	1	yes	characteristic, complemented
43	#14273658	C₂²	1	1	yes	characteristic, complemented
44	#14273652	C₂²	1	1	yes	characteristic, complemented
45	#14273650	C₂²	1	1	yes	characteristic, complemented
46	#14273649	C₂²	1	1	yes	characteristic
47	#14273648	C₂²	1	1	yes	characteristic
48	#14273648	C₂²	1	1	yes	characteristic, complemented
49	#14273647	C₂²	1	1	yes	characteristic
50	#14273637	C₂²	1	1	yes	characteristic, complemented
51	C₄×C₅₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
52	C₈×Dic₅₉	C₂²	1	1	yes	characteristic, complemented
53	C₂×D₈×C₅₉	C₂²	1	1	yes	characteristic
54	C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
55	C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic, complemented
56	#106×C₅₉	C₂²	1	1	yes	characteristic, complemented
57	#102×C₅₉	C₂²	1	1	yes	characteristic
58	#102×C₅₉	C₂²	1	1	yes	characteristic, complemented
59	#97×C₅₉	C₂²	1	1	yes	characteristic, complemented
60	C₂³×D₅₉	—	2	1	no	—
61	C₂×D₄×C₅₉	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₅₉	C₂³	1	1	yes	characteristic
63	C₂²×C₄×C₅₉	—	2	1	no	—
64	C₂²×C₄×C₅₉	—	2	1	no	—
65	C₂×C₂²⋊D₅₉	—	2	1	no	—
66	C₂×C₂²⋊D₅₉	—	2	1	no	—
67	C₂²×Dic₅₉	—	2	1	no	—
68	C₂²×Dic₅₉	—	2	1	no	—
69	C₂²×Dic₅₉	—	2	1	no	—
70	#11745687	—	2	2	no	—
71	#11745687	C₂×C₄	1	4	yes	complemented
72	D₄×D₅₉	—	2	2	no	—
73	D₄×D₅₉	C₂×C₄	1	4	yes	complemented
74	C₂×D₂₃₆	C₂³	1	1	yes	characteristic
75	C₂×C₄×D₅₉	—	2	1	no	—
76	C₂×C₄×D₅₉	—	2	1	no	—
77	C₂×C₄×D₅₉	—	2	1	no	—
78	C₂×C₄×D₅₉	C₂³	1	1	yes	characteristic
79	C₂×Dic₁₁₈	C₂³	1	1	yes	characteristic
80	D₈×C₅₉	C₂×C₄	1	4	yes	complemented
81	C₂×C₈×C₅₉	C₂³	1	1	yes	characteristic
82	C₂×C₈×C₅₉	C₂³	1	1	yes	characteristic
83	C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
84	C₄⋊C₄×C₅₉	C₂³	1	1	yes	characteristic
85	C₂²⋊C₄×C₅₉	—	2	1	no	—
86	C₂²⋊C₄×C₅₉	—	2	1	no	—
87	C₄²×C₅₉	C₂³	1	1	yes	characteristic
88	C₂²⋊Dic₅₉	—	2	1	no	—
89	C₂²⋊Dic₅₉	—	2	1	no	—
90	#11745670	C₂×C₄	1	4	yes	complemented
91	#11745669	C₂×C₄	1	4	yes	complemented
92	(C₂×D₅₉)⋊C₄	—	2	1	no	—
93	(C₂×D₅₉)⋊C₄	—	2	1	no	—
94	(C₂×D₅₉)⋊C₄	—	2	1	no	—
95	(C₂×D₅₉)⋊C₄	D₄	1	1	yes	characteristic
96	(C₂×D₅₉)⋊C₄	D₄	1	1	yes	characteristic
97	C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
98	C₄⋊Dic₅₉	C₂³	1	1	yes	characteristic
99	Dic₅₉⋊C₄	—	2	1	no	—
100	Dic₅₉⋊C₄	—	2	1	no	—
101	Dic₅₉⋊C₄	—	2	1	no	—
102	Dic₅₉⋊C₄	D₄	1	1	yes	characteristic
103	Dic₅₉⋊C₄	D₄	1	1	yes	characteristic
104	C₄×Dic₅₉	—	2	1	no	—
105	C₄×Dic₅₉	—	2	1	no	—
106	C₄×Dic₅₉	—	2	1	no	—
107	C₄×Dic₅₉	C₂³	1	1	yes	characteristic
108	C₂×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
109	C₂×C₅₉⋊C₈	C₂³	1	1	yes	characteristic
110	#11745660	C₂×C₄	1	4	yes	complemented
111	#11745659	C₂×C₄	1	4	yes	complemented
112	C₈×D₅₉	—	2	2	no	—
113	C₂³×C₅₉	—	2	1	no	—
114	C₂³×C₅₉	—	2	1	no	—
115	C₂²×D₅₉	—	2	1	no	—
116	C₂²×D₅₉	—	2	4	no	—
117	C₂²×D₅₉	—	8	1	no	—
118	C₂²×D₅₉	—	8	1	no	—
119	C₂²×D₅₉	C₂×D₄	1	1	yes	characteristic
120	D₄×C₅₉	—	2	1	no	—
121	D₄×C₅₉	—	2	1	no	—
122	D₄×C₅₉	C₂²×C₄	1	2	yes	—
123	D₄×C₅₉	C₂²×C₄	1	2	yes	—
124	C₂×C₄×C₅₉	—	2	1	no	—
125	C₂×C₄×C₅₉	—	2	1	no	—
126	C₂×C₄×C₅₉	—	8	1	no	—
127	C₂×C₄×C₅₉	—	8	1	no	—
128	C₂×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
129	C₂×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
130	C₂×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
131	C₂²⋊D₅₉	—	2	4	no	—
132	C₂²⋊D₅₉	—	2	4	no	—
133	C₂×Dic₅₉	—	2	1	no	—
134	C₂×Dic₅₉	—	2	4	no	—
135	C₂×Dic₅₉	—	2	1	no	—
136	C₂×Dic₅₉	—	2	1	no	—
137	C₂×Dic₅₉	—	8	1	no	—
138	C₂×Dic₅₉	—	8	1	no	—
139	C₂×Dic₅₉	C₂×D₄	1	1	yes	characteristic
140	C₂×Dic₅₉	C₂×D₄	1	1	yes	characteristic
141	C₂×Dic₅₉	C₂×D₄	1	1	yes	characteristic
142	D₂₃₆	—	2	1	no	—
143	D₂₃₆	C₂²×C₄	1	2	yes	—
144	C₄×D₅₉	—	8	1	no	—
145	C₄×D₅₉	—	8	1	no	—
146	C₄×D₅₉	—	8	1	no	—
147	C₄×D₅₉	C₂²×C₄	1	2	yes	—
148	C₄×D₅₉	#41	1	2	yes	—
149	Dic₁₁₈	—	2	1	no	—
150	Dic₁₁₈	C₂²×C₄	1	2	yes	—
151	C₈×C₅₉	—	2	1	no	—
152	C₈×C₅₉	C₂²×C₄	1	2	yes	—
153	C₅₉⋊C₈	—	2	1	no	—
154	C₅₉⋊C₈	C₂²×C₄	1	2	yes	—
155	C₂²×C₅₉	—	2	2	no	—
156	C₂²×C₅₉	—	2	2	no	—
157	C₂²×C₅₉	—	4	1	no	—
158	C₂²×C₅₉	—	4	1	no	—
159	C₂²×C₅₉	—	4	1	no	—
160	C₂²×C₅₉	—	4	1	no	—
161	C₂²×C₅₉	C₂²×D₄	1	1	yes	characteristic
162	C₂×D₅₉	—	2	1	no	—
163	C₂×D₅₉	—	2	1	no	—
164	C₂×D₅₉	—	2	2	no	—
165	C₂×D₅₉	—	4	1	no	—
166	C₂×D₅₉	—	4	1	no	—
167	C₂×D₅₉	—	8	4	no	—
168	C₂×D₅₉	C₄×D₄	1	2	yes	—
169	C₄×C₅₉	—	2	1	no	—
170	C₄×C₅₉	—	2	1	no	—
171	C₄×C₅₉	—	4	1	no	—
172	C₄×C₅₉	—	4	1	no	—
173	C₄×C₅₉	C₂³×C₄	1	1	yes	characteristic
174	C₄×C₅₉	C₂×#41	1	1	yes	characteristic
175	Dic₅₉	—	2	2	no	—
176	Dic₅₉	—	2	1	no	—
177	Dic₅₉	—	2	1	no	—
178	Dic₅₉	—	4	1	no	—
179	Dic₅₉	—	4	1	no	—
180	Dic₅₉	C₄×D₄	1	2	yes	—
181	#2946	—	59	1	no	maximal, Sylow
182	C₂×C₅₉	—	4	2	no	—
183	C₂×C₅₉	—	4	2	no	—
184	C₂×C₅₉	C₂×C₄×D₄	1	1	yes	characteristic
185	C₂×C₅₉	#576	1	1	yes	characteristic
186	C₂×C₅₉	#577	1	1	yes	characteristic
187	D₅₉	—	2	2	no	—
188	D₅₉	—	4	2	no	—
189	C₂×AGL(1,ℤ/8)	—	59	1	no	—
190	#520	—	59	1	no	—
191	#518	—	59	1	no	—
192	#442	—	59	1	no	—
193	#442	D₅₉	1	1	yes	characteristic, complemented
194	#440	—	59	1	no	—
195	#440	—	59	1	no	—
196	C₄×SD₁₆	—	59	1	no	—
197	C₄×SD₁₆	—	59	1	no	—
198	C₄×D₈	—	59	1	no	—
199	C₄×D₈	—	59	1	no	—
200	#428	—	59	1	no	—
201	#416	—	59	1	no	—
202	C₂×#102	—	59	1	no	—
203	#405	—	59	1	no	—
204	C₅₉	#2946	1	1	yes	characteristic, complemented, Sylow
205	C₂×#41	—	59	1	no	—
206	C₂²×D₄	—	59	1	no	—
207	AGL(1,ℤ/8)	—	59	8	no	—
208	C₂×SD₁₆	—	59	1	no	—
209	C₂×SD₁₆	—	59	1	no	—
210	C₂×D₈	—	59	1	no	—
211	C₂×D₈	C₂×D₅₉	1	1	yes	characteristic
212	C₂×M₁₆	—	59	1	no	—
213	C₂²×C₈	—	59	1	no	—
214	C₄×Q₈	—	59	1	no	—
215	C₄×Q₈	—	59	1	no	—
216	C₄×D₄	—	59	1	no	—
217	C₄×D₄	—	59	1	no	—
218	C₄×D₄	—	59	1	no	—
219	C₄×D₄	—	59	1	no	—
220	C₄×D₄	—	118	1	no	—
221	C₄×D₄	—	118	1	no	—
222	C₄×D₄	—	118	1	no	—
223	C₄×D₄	—	118	1	no	—
224	C₄×D₄	C₂×D₅₉	1	1	yes	characteristic
225	C₄×D₄	C₂×D₅₉	1	1	yes	characteristic, complemented
226	#117	—	59	1	no	—
227	#117	—	59	1	no	—
228	#117	—	118	1	no	—
229	C₂×C₄⋊C₄	—	59	1	no	—
230	C₂×C₄⋊C₄	—	118	1	no	—
231	C₂×C₂²⋊C₄	—	118	1	no	—
232	C₂×C₂²⋊C₄	—	118	1	no	—
233	#107	—	59	1	no	—
234	#107	—	59	1	no	—
235	#106	—	59	1	no	—
236	#106	C₂×D₅₉	1	1	yes	characteristic, complemented
237	#103	—	59	1	no	—
238	#103	—	59	1	no	—
239	#102	—	59	1	no	—
240	#102	—	59	1	no	—
241	#102	—	59	1	no	—
242	#102	—	59	1	no	—
243	#102	C₂×D₅₉	1	1	yes	characteristic
244	#102	C₂×D₅₉	1	1	yes	characteristic, complemented
245	#97	—	59	1	no	—
246	#97	C₂×D₅₉	1	1	yes	characteristic, complemented
247	C₄×C₈	—	59	1	no	—
248	C₄×C₈	—	59	1	no	—
249	C₂⁴	—	118	1	no	—
250	#41	—	59	4	no	—
251	#41	—	118	2	no	—
252	C₂×Q₈	—	59	1	no	—
253	C₂×D₄	—	59	4	no	—
254	C₂×D₄	—	59	1	no	—
255	C₂×D₄	—	118	2	no	—
256	C₂×D₄	—	118	1	no	—
257	C₂×D₄	—	118	1	no	—
258	C₂×D₄	C₂²×D₅₉	1	1	yes	characteristic
259	C₂×D₄	C₂²×D₅₉	1	1	yes	characteristic
260	C₂²×C₄	—	2	1	no	—
261	C₂²×C₄	—	2	1	no	—
262	C₂²×C₄	—	59	1	no	—
263	C₂²×C₄	—	118	1	no	—
264	C₂²×C₄	—	118	1	no	—
265	C₂²×C₄	—	118	1	no	—
266	C₂²×C₄	—	118	1	no	—
267	C₂²×C₄	—	118	1	no	—
268	C₂²×C₄	—	118	1	no	—
269	SD₁₆	—	59	4	no	—
270	SD₁₆	—	59	4	no	—
271	D₈	—	59	4	no	—
272	D₈	C₄×D₅₉	1	4	yes	complemented
273	M₁₆	—	59	4	no	—
274	C₂×C₈	—	59	1	no	—
275	C₂×C₈	—	59	1	no	—
276	C₂×C₈	—	118	2	no	—
277	C₂×C₈	C₂²×D₅₉	1	1	yes	characteristic
278	C₂×C₈	C₂²×D₅₉	1	1	yes	characteristic
279	C₄⋊C₄	—	59	1	no	—
280	C₄⋊C₄	—	59	1	no	—
281	C₄⋊C₄	—	59	1	no	—
282	C₄⋊C₄	—	59	1	no	—
283	C₄⋊C₄	—	118	1	no	—
284	C₄⋊C₄	—	118	1	no	—
285	C₄⋊C₄	—	118	1	no	—
286	C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
287	C₄⋊C₄	C₂²×D₅₉	1	1	yes	characteristic
288	C₂²⋊C₄	—	2	1	no	—
289	C₂²⋊C₄	—	2	1	no	—
290	C₂²⋊C₄	—	59	1	no	—
291	C₂²⋊C₄	—	59	1	no	—
292	C₂²⋊C₄	—	118	1	no	—
293	C₂²⋊C₄	—	118	1	no	—
294	C₂²⋊C₄	—	118	1	no	—
295	C₂²⋊C₄	—	118	1	no	—
296	C₂²⋊C₄	—	118	1	no	—
297	C₄²	—	59	1	no	—
298	C₄²	—	118	1	no	—
299	C₄²	—	118	1	no	—
300	C₄²	—	118	1	no	—
301	C₄²	C₂²×D₅₉	1	1	yes	characteristic
302	C₂³	—	2	1	no	—
303	C₂³	—	2	1	no	—
304	C₂³	—	59	1	no	—
305	C₂³	—	118	4	no	—
306	C₂³	—	118	1	no	—
307	C₂³	—	472	1	no	—
308	C₂³	—	472	1	no	—
309	Q₈	—	59	2	no	—
310	Q₈	—	118	1	no	—
311	D₄	—	2	1	no	—
312	D₄	—	2	1	no	—
313	D₄	—	59	2	no	—
314	D₄	—	118	4	no	—
315	D₄	—	118	4	no	—
316	D₄	—	118	1	no	—
317	D₄	C₂×C₄×D₅₉	1	2	yes	—
318	D₄	C₂×C₄×D₅₉	1	2	yes	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	8	1	no	—
322	C₂×C₄	—	8	1	no	—
323	C₂×C₄	—	59	1	no	—
324	C₂×C₄	—	59	2	no	—
325	C₂×C₄	—	59	2	no	—
326	C₂×C₄	—	59	1	no	—
327	C₂×C₄	—	59	1	no	—
328	C₂×C₄	—	118	4	no	—
329	C₂×C₄	—	118	1	no	—
330	C₂×C₄	—	118	1	no	—
331	C₂×C₄	—	118	1	no	—
332	C₂×C₄	—	472	1	no	—
333	C₂×C₄	—	472	1	no	—
334	C₂×C₄	—	472	1	no	—
335	C₂×C₄	—	472	1	no	—
336	C₂×C₄	—	472	1	no	—
337	C₂×C₄	D₄×D₅₉	1	1	yes	characteristic
338	C₂×C₄	D₄×D₅₉	1	1	yes	characteristic
339	C₂×C₄	C₂³×D₅₉	1	1	yes	characteristic
340	C₈	—	2	1	no	—
341	C₈	—	59	2	no	—
342	C₈	—	118	1	no	—
343	C₈	C₂×C₄×D₅₉	1	2	yes	—
344	C₂²	—	2	2	no	—
345	C₂²	—	2	2	no	—
346	C₂²	—	4	1	no	—
347	C₂²	—	4	1	no	—
348	C₂²	—	4	1	no	—
349	C₂²	—	4	1	no	—
350	C₂²	—	59	2	no	—
351	C₂²	—	118	1	no	—
352	C₂²	—	118	1	no	—
353	C₂²	—	118	2	no	—
354	C₂²	—	472	4	no	—
355	C₂²	—	236	1	no	—
356	C₂²	—	236	1	no	—
357	C₂²	C₂×D₄×D₅₉	1	1	yes	characteristic
358	C₄	—	2	1	no	—
359	C₄	—	2	1	no	—
360	C₄	—	4	1	no	—
361	C₄	—	4	1	no	—
362	C₄	—	59	2	no	—
363	C₄	—	118	1	no	—
364	C₄	—	118	1	no	—
365	C₄	—	118	2	no	—
366	C₄	—	236	1	no	—
367	C₄	—	236	1	no	—
368	C₄	C₂²×C₄×D₅₉	1	1	yes	characteristic
369	C₄	#41×D₅₉	1	1	yes	characteristic
370	C₂	—	4	2	no	—
371	C₂	—	4	2	no	—
372	C₂	—	118	2	no	—
373	C₂	—	236	2	no	—
374	C₂	C₄×D₄×D₅₉	1	1	yes	characteristic
375	C₂	#16838206	1	1	yes	characteristic
376	C₂	#16838212	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₅₉
commutator	C₄×C₅₉	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₅₉
Fitting	C₅₉×#442	C₂
socle	C₂²×C₅₉	C₂²×D₄
hypercenter	#442	D₅₉
hypocenter	C₅₉	#2946
LCS	G ▷ C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #442

Complements

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

N	H ≅ G/N	type
2. #16837881	C₂	semidirect
3. #16837874	C₂	semidirect
4. #16837511	C₂	semidirect
5. #16837504	C₂	semidirect
6. #16837499	C₂	semidirect
7. #16837489	C₂	semidirect
8. C₄×#11745670	C₂	semidirect
9. D₈×Dic₅₉	C₂	semidirect
10. C₄×#11745669	C₂	semidirect
11. #16837441	C₂	semidirect
12. #16837395	C₂	semidirect
13. #102×D₅₉	C₂	semidirect
14. #16837359	C₂	semidirect
15. C₅₉×#442	C₂	semidirect
18. #14273751	C₄	semidirect
24. C₄×Dic₁₁₈	C₂²	semidirect
25. #14273692	C₂²	semidirect
28. D₄×Dic₅₉	C₂²	semidirect
41. #14273661	C₂²	semidirect
42. #14273660	C₂²	semidirect
43. #14273658	C₂²	semidirect
44. #14273652	C₂²	semidirect
45. #14273650	C₂²	semidirect
48. #14273648	C₂²	semidirect
50. #14273637	C₂²	semidirect
51. C₄×C₅₉⋊C₈	C₂²	semidirect
52. C₈×Dic₅₉	C₂²	semidirect
55. C₄×D₄×C₅₉	C₂²	semidirect
56. #106×C₅₉	C₂²	semidirect
58. #102×C₅₉	C₂²	semidirect
59. #97×C₅₉	C₂²	semidirect
71. #11745687	C₂×C₄	semidirect
73. D₄×D₅₉	C₂×C₄	semidirect
80. D₈×C₅₉	C₂×C₄	semidirect
90. #11745670	C₂×C₄	semidirect
91. #11745669	C₂×C₄	semidirect
110. #11745660	C₂×C₄	semidirect
111. #11745659	C₂×C₄	semidirect
193. #442	D₅₉	semidirect
204. C₅₉	#2946	semidirect
225. C₄×D₄	C₂×D₅₉	semidirect
236. #106	C₂×D₅₉	semidirect
244. #102	C₂×D₅₉	semidirect
246. #97	C₂×D₅₉	semidirect
272. D₈	C₄×D₅₉	semidirect