Subgroups — #33055275

Order 18688.

616 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22619057	C₂	1	1	yes	maximal, characteristic
2	#22619052	C₂	1	1	yes	maximal, characteristic
3	#22618887	C₂	1	1	yes	maximal, characteristic
4	#22608720	C₂	1	1	yes	maximal, characteristic, complemented
5	#22608715	C₂	1	2	yes	maximal, complemented
6	#22608713	C₂	1	2	yes	maximal, complemented
7	#22608693	C₂	1	2	yes	maximal, complemented
8	#22608686	C₂	1	1	yes	maximal, characteristic, complemented
9	#22608677	C₂	1	1	yes	maximal, characteristic, complemented
10	#334×D₇₃	C₂	1	2	yes	maximal, complemented
11	C₇₃×#1574	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×#11924028	C₂²	1	1	yes	characteristic
13	#17988717	—	2	1	no	—
14	#17988714	—	2	1	no	—
15	#17988711	C₄	1	1	yes	characteristic
16	#17988711	C₄	1	1	yes	characteristic
17	#17988661	—	2	2	no	—
18	#17988656	—	2	2	no	—
19	C₈×D₂₉₂	—	2	1	no	—
20	#17988652	—	2	1	no	—
21	#17988652	C₄	1	1	yes	characteristic
22	#17988652	C₄	1	1	yes	characteristic
23	#17988650	C₄	1	2	yes	—
24	#17988650	C₄	1	2	yes	—
25	#17988643	C₂²	1	2	yes	—
26	#17988643	C₂²	1	2	yes	—
27	#17988640	C₂²	1	1	yes	characteristic
28	#17988638	C₂²	1	2	yes	—
29	#17988611	C₂²	1	1	yes	characteristic
30	C₄⋊C₈×D₇₃	C₂²	1	2	yes	—
31	C₄⋊C₈×D₇₃	C₂²	1	2	yes	—
32	C₂×C₄×#10596831	C₂²	1	1	yes	characteristic
33	C₄×C₈×D₇₃	C₂²	1	2	yes	—
34	#17988340	C₂²	1	2	yes	—
35	#17988339	C₂²	1	1	yes	characteristic
36	#17988339	C₂²	1	1	yes	characteristic
37	#17988338	C₂²	1	2	yes	—
38	#17988337	C₂²	1	1	yes	characteristic
39	#17988337	C₂²	1	2	yes	—
40	#17988337	C₂²	1	1	yes	characteristic
41	#17988337	C₂²	1	2	yes	—
42	#431×C₇₃	C₂²	1	1	yes	characteristic
43	#431×C₇₃	C₂²	1	1	yes	characteristic
44	#423×C₇₃	C₂²	1	1	yes	characteristic
45	#335×C₇₃	C₂²	1	2	yes	—
46	#334×C₇₃	C₂²	1	2	yes	—
47	C₂×#11924028	Q₈	1	1	yes	characteristic
48	C₂×#11924012	—	2	1	no	—
49	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
50	C₂²×#10596831	C₂×C₄	1	1	yes	characteristic
51	C₂×C₈×D₇₃	—	2	2	no	—
52	C₂×C₈×D₇₃	—	2	2	no	—
53	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
54	C₂×C₈×D₇₃	C₂×C₄	1	2	yes	—
55	C₄×Dic₁₄₆	C₂×C₄	1	1	yes	characteristic
56	C₄×Dic₁₄₆	D₄	1	1	yes	characteristic
57	C₄×D₂₉₂	C₂×C₄	1	1	yes	characteristic
58	C₄×D₂₉₂	D₄	1	1	yes	characteristic
59	C₄×C₂²⋊D₇₃	C₂×C₄	1	2	yes	—
60	C₄×C₂²⋊D₇₃	D₄	1	2	yes	—
61	#14556550	Q₈	1	1	yes	characteristic
62	#14556548	Q₈	1	2	yes	—
63	C₄²×D₇₃	C₂³	1	2	yes	—
64	C₄⋊#10596831	—	2	1	no	—
65	C₄⋊#10596831	C₂³	1	2	yes	—
66	C₄⋊#10596831	C₂³	1	1	yes	characteristic
67	C₄⋊#10596831	C₂³	1	1	yes	characteristic
68	#14556520	—	2	2	no	—
69	#14556520	—	2	2	no	—
70	#14556520	C₂×C₄	1	2	yes	—
71	#14556520	C₂×C₄	1	2	yes	—
72	C₂²⋊#10596831	—	2	1	no	—
73	#14556503	—	2	2	no	—
74	#14556503	—	2	2	no	—
75	#14556503	C₂×C₄	1	2	yes	—
76	#14556503	C₂×C₄	1	2	yes	—
77	#14556501	—	2	2	no	—
78	#14556501	—	2	2	no	—
79	C₄×#10596831	—	2	1	no	—
80	C₄×#10596831	C₂×C₄	1	1	yes	characteristic
81	C₄×#10596831	C₂×C₄	1	1	yes	characteristic
82	C₄×#10596831	C₂³	1	1	yes	characteristic
83	C₄×#10596831	C₂³	1	1	yes	characteristic
84	C₈×Dic₇₃	C₂×C₄	1	2	yes	—
85	C₈×Dic₇₃	C₂×C₄	1	2	yes	—
86	C₂×M₁₆×C₇₃	—	2	1	no	—
87	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₇₃	—	2	1	no	—
89	C₄⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
90	C₄⋊C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
91	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
92	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
93	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
94	C₂²⋊C₈×C₇₃	—	2	1	no	—
95	C₂²⋊C₈×C₇₃	C₂×C₄	1	2	yes	—
96	C₄×C₈×C₇₃	—	2	1	no	—
97	C₄×C₈×C₇₃	C₂³	1	2	yes	—
98	#11924028	—	2	4	no	—
99	C₂×Dic₁₄₆	C₄⋊C₄	1	1	yes	characteristic
100	C₂×D₂₉₂	C₄⋊C₄	1	1	yes	characteristic
101	C₂×C₂²⋊D₇₃	C₄⋊C₄	1	2	yes	—
102	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
103	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
104	C₂×C₄×D₇₃	C₂×Q₈	1	2	yes	—
105	#11924012	—	8	1	no	—
106	C₂×#10596831	—	2	2	no	—
107	C₂×#10596831	—	2	1	no	—
108	C₂×#10596831	—	2	1	no	—
109	C₂×#10596831	—	2	2	no	—
110	C₂×#10596831	—	4	1	no	—
111	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
112	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
113	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
114	C₂×#10596831	C₂²×C₄	1	1	yes	characteristic
115	C₈×D₇₃	—	2	4	no	—
116	C₈×D₇₃	—	4	2	no	—
117	C₈×D₇₃	—	8	2	no	—
118	C₈×D₇₃	—	8	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	—	8	1	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	C₂²×C₄	1	2	yes	—
137	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
138	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
139	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
140	C₄²×C₇₃	C₂×Q₈	1	1	yes	characteristic
141	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
142	C₂³×C₇₃	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂²×D₇₃	C₂×C₄⋊C₄	1	2	yes	—
144	C₂×C₄×C₇₃	—	2	1	no	—
145	C₂×C₄×C₇₃	—	2	1	no	—
146	C₂×C₄×C₇₃	—	2	1	no	—
147	C₂×C₄×C₇₃	—	2	1	no	—
148	C₂×C₄×C₇₃	—	2	2	no	—
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	C₂×C₄⋊C₄	1	1	yes	characteristic
152	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₇₃	C₂²×Q₈	1	1	yes	characteristic
155	C₂²⋊D₇₃	—	2	4	no	—
156	C₂×Dic₇₃	C₂×C₄⋊C₄	1	2	yes	—
157	C₂×Dic₇₃	C₂×C₄⋊C₄	1	2	yes	—
158	C₂×Dic₇₃	C₂×C₄⋊C₄	1	2	yes	—
159	D₂₉₂	#108	1	4	yes	—
160	C₄×D₇₃	—	2	4	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	Dic₁₄₆	—	2	2	no	—
166	C₈×C₇₃	—	2	2	no	—
167	C₈×C₇₃	—	2	2	no	—
168	C₈×C₇₃	—	4	1	no	—
169	C₈×C₇₃	—	4	2	no	—
170	C₈×C₇₃	—	4	1	no	—
171	#10596831	—	2	1	no	—
172	#10596831	—	2	1	no	—
173	#10596831	—	2	1	no	—
174	#10596831	—	4	1	no	—
175	#10596831	—	4	2	no	—
176	#10596831	—	4	1	no	—
177	#10596831	#131	1	2	yes	—
178	C₂²×C₇₃	—	2	1	no	—
179	C₂²×C₇₃	—	2	1	no	—
180	C₂²×C₇₃	—	2	1	no	—
181	C₂²×C₇₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
182	C₂×D₇₃	—	2	2	no	—
183	C₂×D₇₃	—	2	2	no	—
184	C₂×D₇₃	C₂×#108	1	4	yes	—
185	C₄×C₇₃	—	2	1	no	—
186	C₄×C₇₃	—	2	1	no	—
187	C₄×C₇₃	—	2	1	no	—
188	C₄×C₇₃	C₂×#108	1	2	yes	—
189	C₄×C₇₃	C₂×#131	1	1	yes	characteristic
190	C₄×C₇₃	#568	1	1	yes	characteristic
191	C₄×C₇₃	#577	1	1	yes	characteristic
192	C₄×C₇₃	#577	1	1	yes	characteristic
193	Dic₇₃	—	2	2	no	—
194	Dic₇₃	—	2	2	no	—
195	Dic₇₃	—	2	2	no	—
196	#17834	—	73	1	no	maximal, Sylow
197	C₂×C₇₃	—	4	1	no	—
198	C₂×C₇₃	#2906	1	1	yes	characteristic
199	C₂×C₇₃	#2912	1	1	yes	characteristic
200	C₂×C₇₃	C₂²×#108	1	1	yes	characteristic
201	D₇₃	—	2	4	no	—
202	#2990	—	73	1	no	—
203	#2990	—	73	1	no	—
204	C₈×#41	—	73	1	no	—
205	#1574	—	73	1	no	—
206	#1574	D₇₃	1	1	yes	characteristic, complemented
207	#1573	—	73	2	no	—
208	#1573	—	73	2	no	—
209	#1568	—	73	2	no	—
210	#1566	—	73	1	no	—
211	#1564	—	73	1	no	—
212	C₂×#334	—	73	2	no	—
213	C₇₃	#17834	1	1	yes	characteristic, complemented, Sylow
214	C₄×#41	—	73	1	no	—
215	#446	—	146	1	no	—
216	#446	—	146	1	no	—
217	C₈×Q₈	—	73	1	no	—
218	C₈×Q₈	—	73	1	no	—
219	#435	—	146	2	no	—
220	#435	—	146	2	no	—
221	C₈×D₄	—	73	1	no	—
222	C₈×D₄	—	73	1	no	—
223	C₈×D₄	—	73	2	no	—
224	C₈×D₄	—	73	2	no	—
225	C₈×D₄	—	146	1	no	—
226	C₈×D₄	—	146	1	no	—
227	#432	—	73	2	no	—
228	#432	—	73	2	no	—
229	#431	—	73	2	no	—
230	#431	—	73	1	no	—
231	#431	C₂×D₇₃	1	1	yes	characteristic
232	#431	C₂×D₇₃	1	1	yes	characteristic
233	#423	—	73	1	no	—
234	#423	C₂×D₇₃	1	1	yes	characteristic
235	C₂×C₄⋊C₈	—	73	2	no	—
236	C₂×C₄⋊C₈	—	73	2	no	—
237	C₂×C₄×C₈	—	73	1	no	—
238	C₂×C₄×C₈	—	73	2	no	—
239	#335	—	73	1	no	—
240	#335	—	73	1	no	—
241	#335	—	73	2	no	—
242	#335	C₂×D₇₃	1	2	yes	—
243	#334	—	73	1	no	—
244	#334	—	73	2	no	—
245	#334	—	73	1	no	—
246	#334	—	73	2	no	—
247	#334	—	73	2	no	—
248	#334	C₂×D₇₃	1	2	yes	—
249	C₂×#41	—	73	1	no	—
250	C₂×M₁₆	—	2	1	no	—
251	C₂×M₁₆	—	146	1	no	—
252	C₂²×C₈	—	73	1	no	—
253	C₂²×C₈	—	73	2	no	—
254	C₂²×C₈	—	73	1	no	—
255	C₂²×C₈	—	73	2	no	—
256	C₂²×C₈	—	146	2	no	—
257	C₂²×C₈	—	146	2	no	—
258	C₄×Q₈	—	73	1	no	—
259	C₄×Q₈	—	73	1	no	—
260	C₄×D₄	—	73	2	no	—
261	C₄×D₄	—	73	2	no	—
262	C₄×D₄	—	73	1	no	—
263	C₄×D₄	—	73	1	no	—
264	#117	—	73	1	no	—
265	#117	—	73	2	no	—
266	C₂×C₄²	—	73	2	no	—
267	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
268	C₄⋊C₈	—	2	1	no	—
269	C₄⋊C₈	—	73	2	no	—
270	C₄⋊C₈	—	73	2	no	—
271	C₄⋊C₈	—	73	1	no	—
272	C₄⋊C₈	—	73	2	no	—
273	C₄⋊C₈	—	73	1	no	—
274	C₄⋊C₈	—	146	2	no	—
275	C₄⋊C₈	—	146	2	no	—
276	C₄⋊C₈	—	146	1	no	—
277	C₄⋊C₈	C₄×D₇₃	1	1	yes	characteristic
278	C₄⋊C₈	C₄×D₇₃	1	1	yes	characteristic
279	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
280	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
281	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
282	C₂²⋊C₈	—	2	1	no	—
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	1	no	—
288	C₂²⋊C₈	C₄×D₇₃	1	2	yes	—
289	#97	—	146	2	no	—
290	#97	—	146	2	no	—
291	C₄×C₈	—	2	1	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	1	no	—
299	C₄×C₈	C₂²×D₇₃	1	2	yes	—
300	#41	—	146	4	no	—
301	C₂×Q₈	—	73	1	no	—
302	C₂×D₄	—	73	2	no	—
303	C₂×D₄	—	73	1	no	—
304	C₂²×C₄	—	73	2	no	—
305	C₂²×C₄	—	73	2	no	—
306	C₂²×C₄	—	73	2	no	—
307	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
308	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
309	C₂²×C₄	Q₈×D₇₃	1	1	yes	characteristic
310	M₁₆	—	8	1	no	—
311	M₁₆	—	584	1	no	—
312	C₂×C₈	—	2	1	no	—
313	C₂×C₈	—	2	1	no	—
314	C₂×C₈	—	2	2	no	—
315	C₂×C₈	—	292	2	no	—
316	C₂×C₈	—	292	1	no	—
317	C₂×C₈	—	584	2	no	—
318	C₂×C₈	—	584	2	no	—
319	C₂×C₈	—	73	1	no	—
320	C₂×C₈	—	73	1	no	—
321	C₂×C₈	—	73	1	no	—
322	C₂×C₈	—	73	1	no	—
323	C₂×C₈	—	146	4	no	—
324	C₂×C₈	—	146	1	no	—
325	C₂×C₈	—	146	1	no	—
326	C₂×C₈	—	146	2	no	—
327	C₂×C₈	—	146	2	no	—
328	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
329	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
330	C₄⋊C₄	—	73	2	no	—
331	C₄⋊C₄	—	73	2	no	—
332	C₄⋊C₄	—	73	1	no	—
333	C₄⋊C₄	—	73	1	no	—
334	C₂²⋊C₄	—	73	2	no	—
335	C₂²⋊C₄	—	73	2	no	—
336	C₂²⋊C₄	—	73	2	no	—
337	C₄²	—	73	2	no	—
338	C₄²	—	73	2	no	—
339	C₄²	—	73	2	no	—
340	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
341	C₄²	D₄×D₇₃	1	1	yes	characteristic
342	C₄²	Q₈×D₇₃	1	1	yes	characteristic
343	C₄²	C₂³×D₇₃	1	1	yes	characteristic
344	C₂³	—	73	2	no	—
345	C₂³	C₄⋊C₄×D₇₃	1	1	yes	characteristic
346	Q₈	—	146	2	no	—
347	D₄	—	73	4	no	—
348	D₄	—	146	4	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	73	2	no	—
355	C₂×C₄	—	73	2	no	—
356	C₂×C₄	—	73	2	no	—
357	C₂×C₄	—	146	4	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	C₂²×C₄×D₇₃	1	1	yes	characteristic
366	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
367	C₂×C₄	C₂×Q₈×D₇₃	1	1	yes	characteristic
368	C₈	—	2	2	no	—
369	C₈	—	2	2	no	—
370	C₈	—	4	1	no	—
371	C₈	—	4	2	no	—
372	C₈	—	4	1	no	—
373	C₈	—	292	2	no	—
374	C₈	—	292	1	no	—
375	C₈	—	292	1	no	—
376	C₈	—	73	2	no	—
377	C₈	—	146	1	no	—
378	C₈	—	146	1	no	—
379	C₈	—	146	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	73	4	no	—
384	C₂²	—	146	2	no	—
385	C₂²	—	146	2	no	—
386	C₂²	C₂×C₄⋊C₄×D₇₃	1	1	yes	characteristic
387	C₄	—	2	1	no	—
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	146	2	no	—
391	C₄	—	146	2	no	—
392	C₄	—	146	2	no	—
393	C₄	#108×D₇₃	1	2	yes	—
394	C₄	#131×D₇₃	1	1	yes	characteristic
395	C₄	#17989352	1	1	yes	characteristic
396	C₄	#17989396	1	1	yes	characteristic
397	C₄	#17989397	1	1	yes	characteristic
398	C₂	—	4	1	no	—
399	C₂	—	146	4	no	—
400	C₂	#22618498	1	1	yes	characteristic
401	C₂	#22618525	1	1	yes	characteristic
402	C₂	C₂×#108×D₇₃	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×#1574	C₂
socle	C₂²×C₇₃	C₂²×C₄⋊C₄
prime radical	C₂×#11924028	Q₈
cosocle	C₄²×C₇₃	C₂⁴
hypercenter	#1574	D₇₃
hypocenter	C₇₃	#17834
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1574

Complements

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

N	H ≅ G/N	type
4. #22608720	C₂	semidirect
5. #22608715	C₂	semidirect
6. #22608713	C₂	semidirect
7. #22608693	C₂	semidirect
8. #22608686	C₂	semidirect
9. #22608677	C₂	semidirect
10. #334×D₇₃	C₂	semidirect
11. C₇₃×#1574	C₂	semidirect
206. #1574	D₇₃	semidirect
213. C₇₃	#17834	semidirect

Maximal subgroups

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

subgroup	index
#22619057	2
#22619052	2
#22618887	2
#22608720	2
#22608715	2
#22608713	2
#22608693	2
#22608686	2
#22608677	2
#334×D₇₃	2
C₇₃×#1574	2
#17834	73