Subgroups — #33055227

Order 18688.

610 conjugacy classes of subgroups.

The subgroup lattice has 406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618887	C₂	1	1	yes	maximal, characteristic
2	#22618599	C₂	1	1	yes	maximal, characteristic
3	#22618596	C₂	1	1	yes	maximal, characteristic
4	#22608708	C₂	1	2	yes	maximal, complemented
5	#22608708	C₂	1	2	yes	maximal, complemented
6	#22608702	C₂	1	1	yes	maximal, characteristic, complemented
7	#22608691	C₂	1	2	yes	maximal, complemented
8	#22608689	C₂	1	1	yes	maximal, characteristic, complemented
9	#22608676	C₂	1	2	yes	maximal, complemented
10	C₂×#17988339	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#1570	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×#11924028	C₂²	1	1	yes	characteristic
13	#17988711	C₄	1	1	yes	characteristic
14	#17988711	C₄	1	1	yes	characteristic
15	#17988652	C₄	1	1	yes	characteristic
16	#17988652	C₄	1	1	yes	characteristic
17	#17988650	C₄	1	2	yes	—
18	#17988650	C₄	1	2	yes	—
19	#17988647	—	2	2	no	—
20	#17988647	—	2	2	no	—
21	#17988643	C₂²	1	2	yes	—
22	#17988643	C₂²	1	2	yes	—
23	#17988639	C₂²	1	2	yes	—
24	#17988639	C₂²	1	2	yes	—
25	#17988638	C₂²	1	2	yes	—
26	#17988611	C₂²	1	1	yes	characteristic
27	C₂×C₄⋊#10596831	C₂²	1	1	yes	characteristic
28	#17988555	—	2	1	no	—
29	#17988553	—	2	1	no	—
30	#17988545	—	2	1	no	—
31	#17988542	—	2	1	no	—
32	C₂×C₄×#10596831	C₂²	1	1	yes	characteristic
33	C₄×C₈×D₇₃	C₂²	1	2	yes	—
34	#17988339	C₂²	1	1	yes	characteristic
35	#17988339	C₂²	1	1	yes	characteristic
36	#17988339	C₂²	1	1	yes	characteristic
37	#17988339	C₂²	1	1	yes	characteristic
38	#17988339	C₂²	1	2	yes	—
39	#17988339	C₂²	1	2	yes	—
40	#17988338	C₂²	1	2	yes	—
41	#17988338	C₂²	1	2	yes	—
42	#431×C₇₃	C₂²	1	1	yes	characteristic
43	#423×C₇₃	C₂²	1	1	yes	characteristic
44	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic
45	#334×C₇₃	C₂²	1	2	yes	—
46	#334×C₇₃	C₂²	1	2	yes	—
47	C₂×#11924028	D₄	1	1	yes	characteristic
48	C₂×#11924012	—	2	1	no	—
49	C₂²×#10596831	—	2	1	no	—
50	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
51	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
52	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
53	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
54	C₄×Dic₁₄₆	C₂×C₄	1	1	yes	characteristic
55	C₄×Dic₁₄₆	Q₈	1	1	yes	characteristic
56	C₄×D₂₉₂	C₂×C₄	1	1	yes	characteristic
57	C₄×D₂₉₂	Q₈	1	1	yes	characteristic
58	C₄×C₂²⋊D₇₃	C₂×C₄	1	2	yes	—
59	C₄×C₂²⋊D₇₃	Q₈	1	2	yes	—
60	#14556550	D₄	1	1	yes	characteristic
61	#14556548	D₄	1	2	yes	—
62	C₄²×D₇₃	C₂³	1	2	yes	—
63	C₄⋊#10596831	—	2	1	no	—
64	C₄⋊#10596831	—	2	1	no	—
65	C₄⋊#10596831	C₂³	1	1	yes	characteristic
66	C₄⋊#10596831	C₂³	1	1	yes	characteristic
67	C₄⋊#10596831	C₂³	1	2	yes	—
68	#14556520	C₂×C₄	1	2	yes	—
69	#14556520	C₂×C₄	1	2	yes	—
70	#14556503	—	2	2	no	—
71	#14556503	—	2	2	no	—
72	#14556503	—	2	2	no	—
73	#14556503	—	2	2	no	—
74	#14556503	C₂×C₄	1	2	yes	—
75	#14556503	C₂×C₄	1	2	yes	—
76	#14556501	—	2	2	no	—
77	#14556501	—	2	2	no	—
78	C₄×#10596831	C₂×C₄	1	1	yes	characteristic
79	C₄×#10596831	C₂×C₄	1	1	yes	characteristic
80	C₄×#10596831	C₂³	1	1	yes	characteristic
81	C₄×#10596831	C₂³	1	1	yes	characteristic
82	C₈×Dic₇₃	—	2	2	no	—
83	C₈×Dic₇₃	—	2	2	no	—
84	C₈×Dic₇₃	C₂×C₄	1	2	yes	—
85	C₈×Dic₇₃	C₂×C₄	1	2	yes	—
86	C₂×M₁₆×C₇₃	—	2	1	no	—
87	C₂²×C₈×C₇₃	—	2	1	no	—
88	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
89	C₄⋊C₈×C₇₃	—	2	1	no	—
90	C₄⋊C₈×C₇₃	—	2	1	no	—
91	C₄⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
92	C₄⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
93	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
94	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
95	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
96	C₂²⋊C₈×C₇₃	C₂×C₄	1	2	yes	—
97	C₄×C₈×C₇₃	C₂³	1	2	yes	—
98	#11924028	—	2	2	no	—
99	#11924028	—	2	2	no	—
100	C₂×Dic₁₄₆	C₄⋊C₄	1	1	yes	characteristic
101	C₂×D₂₉₂	C₄⋊C₄	1	1	yes	characteristic
102	C₂×C₂²⋊D₇₃	C₄⋊C₄	1	2	yes	—
103	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
104	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
105	C₂×C₄×D₇₃	C₂×Q₈	1	2	yes	—
106	#11924012	—	4	2	no	—
107	C₂×#10596831	—	2	2	no	—
108	C₂×#10596831	—	2	1	no	—
109	C₂×#10596831	—	2	2	no	—
110	C₂×#10596831	—	2	1	no	—
111	C₂×#10596831	—	4	1	no	—
112	C₂×#10596831	—	4	2	no	—
113	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
114	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
115	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
116	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
117	C₈×D₇₃	—	2	4	no	—
118	C₈×D₇₃	—	4	2	no	—
119	C₄⋊Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
120	C₄⋊Dic₇₃	C₄⋊C₄	1	1	yes	characteristic
121	#11924007	C₄⋊C₄	1	2	yes	—
122	#11924007	C₄⋊C₄	1	2	yes	—
123	C₂²⋊Dic₇₃	C₄⋊C₄	1	2	yes	—
124	#11924005	C₄⋊C₄	1	2	yes	—
125	#11924005	C₄⋊C₄	1	2	yes	—
126	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
127	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
128	C₄×Dic₇₃	C₂×Q₈	1	2	yes	—
129	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
130	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
131	C₂²×C₄×C₇₃	C₂×Q₈	1	1	yes	characteristic
132	M₁₆×C₇₃	—	4	2	no	—
133	C₂×C₈×C₇₃	—	2	1	no	—
134	C₂×C₈×C₇₃	—	2	1	no	—
135	C₂×C₈×C₇₃	—	2	2	no	—
136	C₂×C₈×C₇₃	—	4	2	no	—
137	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
138	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
139	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
140	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
141	C₄²×C₇₃	C₂×Q₈	1	1	yes	characteristic
142	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
143	C₂³×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
144	C₂²×D₇₃	C₂×C₄⋊C₄	1	2	yes	—
145	C₂×C₄×C₇₃	—	2	1	no	—
146	C₂×C₄×C₇₃	—	2	1	no	—
147	C₂×C₄×C₇₃	—	4	1	no	—
148	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
149	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
150	C₂×C₄×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
151	C₂×C₄×C₇₃	#135	1	2	yes	—
152	C₂×C₄×C₇₃	#135	1	2	yes	—
153	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
154	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
155	C₂×C₄×C₇₃	C₂²×Q₈	1	1	yes	characteristic
156	C₂²⋊D₇₃	—	2	4	no	—
157	C₂×Dic₇₃	C₂×C₄⋊C₄	1	2	yes	—
158	C₂×Dic₇₃	C₂×C₄⋊C₄	1	2	yes	—
159	C₂×Dic₇₃	C₂×C₄⋊C₄	1	2	yes	—
160	D₂₉₂	—	2	2	no	—
161	C₄×D₇₃	—	2	2	no	—
162	C₄×D₇₃	—	2	2	no	—
163	C₄×D₇₃	—	2	2	no	—
164	C₄×D₇₃	—	2	2	no	—
165	C₄×D₇₃	—	4	2	no	—
166	Dic₁₄₆	—	2	2	no	—
167	C₈×C₇₃	—	2	2	no	—
168	C₈×C₇₃	—	2	2	no	—
169	C₈×C₇₃	—	4	1	no	—
170	C₈×C₇₃	—	4	1	no	—
171	C₈×C₇₃	—	4	2	no	—
172	#10596831	—	2	1	no	—
173	#10596831	—	2	1	no	—
174	#10596831	—	2	1	no	—
175	#10596831	—	4	1	no	—
176	#10596831	—	4	1	no	—
177	#10596831	—	4	2	no	—
178	#10596831	#131	1	2	yes	—
179	C₂²×C₇₃	—	2	1	no	—
180	C₂²×C₇₃	—	2	1	no	—
181	C₂²×C₇₃	#427	1	2	yes	—
182	C₂²×C₇₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
183	C₂×D₇₃	—	2	2	no	—
184	C₂×D₇₃	—	2	2	no	—
185	C₂×D₇₃	—	2	2	no	—
186	C₄×C₇₃	—	2	1	no	—
187	C₄×C₇₃	—	2	1	no	—
188	C₄×C₇₃	—	2	1	no	—
189	C₄×C₇₃	#427	1	2	yes	—
190	C₄×C₇₃	C₂×#131	1	1	yes	characteristic
191	C₄×C₇₃	#568	1	1	yes	characteristic
192	C₄×C₇₃	C₂×#135	1	1	yes	characteristic
193	C₄×C₇₃	C₂×#135	1	1	yes	characteristic
194	Dic₇₃	—	2	2	no	—
195	Dic₇₃	—	2	2	no	—
196	Dic₇₃	—	2	2	no	—
197	#17829	—	73	1	no	maximal, Sylow
198	C₂×C₇₃	—	2	2	no	—
199	C₂×C₇₃	#2906	1	1	yes	characteristic
200	C₂×C₇₃	C₂×#427	1	1	yes	characteristic
201	C₂×C₇₃	#2916	1	1	yes	characteristic
202	D₇₃	—	4	2	no	—
203	C₈×#41	—	73	1	no	—
204	#2925	—	73	1	no	—
205	#2925	—	73	1	no	—
206	#1572	—	73	2	no	—
207	#1572	—	73	2	no	—
208	#1570	—	73	1	no	—
209	#1570	D₇₃	1	1	yes	characteristic, complemented
210	#1568	—	73	2	no	—
211	#1567	—	73	1	no	—
212	#1564	—	73	2	no	—
213	C₂×#335	—	73	1	no	—
214	C₇₃	#17829	1	1	yes	characteristic, complemented, Sylow
215	C₄×#41	—	73	1	no	—
216	C₈×Q₈	—	73	1	no	—
217	C₈×Q₈	—	73	1	no	—
218	C₈×D₄	—	73	1	no	—
219	C₈×D₄	—	73	1	no	—
220	C₈×D₄	—	73	2	no	—
221	C₈×D₄	—	73	2	no	—
222	#433	—	146	2	no	—
223	#433	—	146	2	no	—
224	#432	—	73	2	no	—
225	#432	—	73	2	no	—
226	#431	—	73	2	no	—
227	#431	—	73	2	no	—
228	#431	—	73	2	no	—
229	#431	C₂×D₇₃	1	1	yes	characteristic
230	#423	—	73	1	no	—
231	#423	C₂×D₇₃	1	1	yes	characteristic
232	C₂×C₄⋊C₈	—	73	1	no	—
233	C₂×C₄⋊C₈	C₂×D₇₃	1	1	yes	characteristic
234	#408	—	146	1	no	—
235	#408	—	146	1	no	—
236	#405	—	146	1	no	—
237	#405	—	146	1	no	—
238	C₂×C₄×C₈	—	73	1	no	—
239	C₂×C₄×C₈	—	73	2	no	—
240	#335	—	73	1	no	—
241	#335	—	73	1	no	—
242	#335	—	73	1	no	—
243	#335	—	73	1	no	—
244	#335	—	73	2	no	—
245	#335	—	73	2	no	—
246	#334	—	73	2	no	—
247	#334	—	73	2	no	—
248	#334	C₂×D₇₃	1	2	yes	—
249	#334	C₂×D₇₃	1	2	yes	—
250	C₂×#41	—	73	1	no	—
251	C₂×M₁₆	—	2	1	no	—
252	C₂×M₁₆	—	146	1	no	—
253	C₂²×C₈	—	2	1	no	—
254	C₂²×C₈	—	73	1	no	—
255	C₂²×C₈	—	73	2	no	—
256	C₂²×C₈	—	73	1	no	—
257	C₂²×C₈	—	73	2	no	—
258	C₂²×C₈	—	146	1	no	—
259	C₄×Q₈	—	73	1	no	—
260	C₄×Q₈	—	73	1	no	—
261	C₄×D₄	—	73	2	no	—
262	C₄×D₄	—	73	2	no	—
263	C₄×D₄	—	73	1	no	—
264	C₄×D₄	—	73	1	no	—
265	#117	—	73	1	no	—
266	#117	—	73	2	no	—
267	C₂×C₄²	—	73	2	no	—
268	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	2	1	no	—
271	C₄⋊C₈	—	73	2	no	—
272	C₄⋊C₈	—	73	2	no	—
273	C₄⋊C₈	—	73	1	no	—
274	C₄⋊C₈	—	73	1	no	—
275	C₄⋊C₈	—	73	2	no	—
276	C₄⋊C₈	—	146	1	no	—
277	C₄⋊C₈	—	146	1	no	—
278	C₄⋊C₈	C₄×D₇₃	1	1	yes	characteristic
279	C₄⋊C₈	C₄×D₇₃	1	1	yes	characteristic
280	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
281	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
282	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
283	C₂²⋊C₈	—	73	2	no	—
284	C₂²⋊C₈	—	73	2	no	—
285	C₂²⋊C₈	—	146	2	no	—
286	C₂²⋊C₈	—	146	2	no	—
287	C₂²⋊C₈	—	146	2	no	—
288	C₂²⋊C₈	—	146	2	no	—
289	C₂²⋊C₈	C₄×D₇₃	1	2	yes	—
290	#97	—	146	2	no	—
291	#97	—	146	2	no	—
292	C₄×C₈	—	73	2	no	—
293	C₄×C₈	—	73	2	no	—
294	C₄×C₈	—	73	1	no	—
295	C₄×C₈	—	73	1	no	—
296	C₄×C₈	—	73	1	no	—
297	C₄×C₈	—	73	1	no	—
298	C₄×C₈	—	146	2	no	—
299	C₄×C₈	—	146	2	no	—
300	C₄×C₈	C₂²×D₇₃	1	2	yes	—
301	#41	—	146	2	no	—
302	#41	—	146	2	no	—
303	C₂×Q₈	—	73	1	no	—
304	C₂×D₄	—	73	2	no	—
305	C₂×D₄	—	73	1	no	—
306	C₂²×C₄	—	73	2	no	—
307	C₂²×C₄	—	73	2	no	—
308	C₂²×C₄	—	73	2	no	—
309	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
310	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
311	C₂²×C₄	Q₈×D₇₃	1	1	yes	characteristic
312	M₁₆	—	4	2	no	—
313	M₁₆	—	292	2	no	—
314	C₂×C₈	—	2	1	no	—
315	C₂×C₈	—	2	2	no	—
316	C₂×C₈	—	2	1	no	—
317	C₂×C₈	—	4	2	no	—
318	C₂×C₈	—	292	2	no	—
319	C₂×C₈	—	292	2	no	—
320	C₂×C₈	—	292	1	no	—
321	C₂×C₈	—	73	1	no	—
322	C₂×C₈	—	73	1	no	—
323	C₂×C₈	—	73	1	no	—
324	C₂×C₈	—	73	1	no	—
325	C₂×C₈	—	146	4	no	—
326	C₂×C₈	—	146	1	no	—
327	C₂×C₈	—	146	2	no	—
328	C₂×C₈	—	146	1	no	—
329	C₂×C₈	—	146	2	no	—
330	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
331	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
332	C₄⋊C₄	—	73	2	no	—
333	C₄⋊C₄	—	73	2	no	—
334	C₄⋊C₄	—	73	1	no	—
335	C₄⋊C₄	—	73	1	no	—
336	C₂²⋊C₄	—	73	2	no	—
337	C₂²⋊C₄	—	73	2	no	—
338	C₂²⋊C₄	—	73	2	no	—
339	C₄²	—	73	2	no	—
340	C₄²	—	73	2	no	—
341	C₄²	—	73	2	no	—
342	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
343	C₄²	D₄×D₇₃	1	1	yes	characteristic
344	C₄²	Q₈×D₇₃	1	1	yes	characteristic
345	C₄²	C₂³×D₇₃	1	1	yes	characteristic
346	C₂³	—	73	2	no	—
347	C₂³	C₄⋊C₄×D₇₃	1	1	yes	characteristic
348	Q₈	—	146	2	no	—
349	D₄	—	146	4	no	—
350	D₄	—	146	2	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	4	1	no	—
354	C₂×C₄	—	292	2	no	—
355	C₂×C₄	—	73	2	no	—
356	C₂×C₄	—	73	2	no	—
357	C₂×C₄	—	73	2	no	—
358	C₂×C₄	—	146	2	no	—
359	C₂×C₄	—	146	2	no	—
360	C₂×C₄	—	146	2	no	—
361	C₂×C₄	—	146	2	no	—
362	C₂×C₄	C₄⋊C₄×D₇₃	1	1	yes	characteristic
363	C₂×C₄	C₄⋊C₄×D₇₃	1	1	yes	characteristic
364	C₂×C₄	C₄⋊C₄×D₇₃	1	1	yes	characteristic
365	C₂×C₄	#14556612	1	2	yes	—
366	C₂×C₄	#14556612	1	2	yes	—
367	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
368	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
369	C₂×C₄	C₂×Q₈×D₇₃	1	1	yes	characteristic
370	C₈	—	2	2	no	—
371	C₈	—	2	2	no	—
372	C₈	—	4	1	no	—
373	C₈	—	4	1	no	—
374	C₈	—	4	2	no	—
375	C₈	—	292	1	no	—
376	C₈	—	292	1	no	—
377	C₈	—	292	2	no	—
378	C₈	—	73	2	no	—
379	C₈	—	146	1	no	—
380	C₈	—	146	1	no	—
381	C₈	—	146	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	146	2	no	—
385	C₂²	—	146	2	no	—
386	C₂²	—	146	2	no	—
387	C₂²	#17988622	1	2	yes	—
388	C₂²	C₂×C₄⋊C₄×D₇₃	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	146	2	no	—
393	C₄	—	146	2	no	—
394	C₄	—	146	2	no	—
395	C₄	#17988622	1	2	yes	—
396	C₄	#131×D₇₃	1	1	yes	characteristic
397	C₄	#17989352	1	1	yes	characteristic
398	C₄	C₂×#14556612	1	1	yes	characteristic
399	C₄	C₂×#14556612	1	1	yes	characteristic
400	C₂	—	2	2	no	—
401	C₂	—	292	2	no	—
402	C₂	#22618498	1	1	yes	characteristic
403	C₂	C₂×#17988622	1	1	yes	characteristic
404	C₂	#22618541	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₇₃
commutator	C₂×C₄×C₇₃	C₂³×C₄
Frattini	C₄²	C₂³×D₇₃
Fitting	C₇₃×#1570	C₂
socle	C₂²×C₇₃	C₂²×C₄⋊C₄
prime radical	C₂×#11924028	D₄
cosocle	C₄²×C₇₃	C₂⁴
hypercenter	#1570	D₇₃
hypocenter	C₇₃	#17829
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1570

Complements

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

N	H ≅ G/N	type
4. #22608708	C₂	semidirect
5. #22608708	C₂	semidirect
6. #22608702	C₂	semidirect
7. #22608691	C₂	semidirect
8. #22608689	C₂	semidirect
9. #22608676	C₂	semidirect
10. C₂×#17988339	C₂	semidirect
11. C₇₃×#1570	C₂	semidirect
209. #1570	D₇₃	semidirect
214. C₇₃	#17829	semidirect

Maximal subgroups

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

subgroup	index
#22618887	2
#22618599	2
#22618596	2
#22608708	2
#22608702	2
#22608691	2
#22608689	2
#22608676	2
C₂×#17988339	2
C₇₃×#1570	2
#17829	73