Subgroups — #33070049

Order 18688.

690 conjugacy classes of subgroups.

The subgroup lattice has 442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22620508	C₂	1	1	yes	maximal, characteristic
2	#22619398	C₂	1	2	yes	maximal, complemented
3	#446×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#22609498	C₂	1	2	yes	maximal, complemented
5	#22609497	C₂	1	2	yes	maximal, complemented
6	#22609450	C₂	1	1	yes	maximal, characteristic, complemented
7	#22609449	C₂	1	1	yes	maximal, characteristic, complemented
8	#22609412	C₂	1	1	yes	maximal, characteristic, complemented
9	#22608685	C₂	1	1	yes	maximal, characteristic, complemented
10	#22608605	C₂	1	2	yes	maximal, complemented
11	C₇₃×#1688	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14556620	—	2	2	no	—
13	#17989135	C₂²	1	2	yes	—
14	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
15	#17988992	C₂²	1	1	yes	characteristic
16	#17988933	C₂²	1	2	yes	—
17	#17988820	—	2	1	no	—
18	#17988820	—	2	1	no	—
19	#17988808	—	2	2	no	—
20	#17988807	—	2	2	no	—
21	#17988798	C₂²	1	2	yes	—
22	#17988797	C₂²	1	2	yes	—
23	#17988784	C₂²	1	2	yes	—
24	#17988718	C₂²	1	1	yes	characteristic
25	#17988717	C₂²	1	1	yes	characteristic
26	#17988716	—	2	1	no	—
27	#17988715	—	2	1	no	—
28	#17988714	C₂²	1	1	yes	characteristic
29	D₈×Dic₇₃	—	2	1	no	—
30	D₈×Dic₇₃	—	2	1	no	—
31	#17988609	C₂²	1	2	yes	—
32	C₄⋊C₈×D₇₃	—	2	1	no	—
33	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
34	#17988585	—	2	2	no	—
35	#97×D₇₃	—	2	1	no	—
36	C₄×C₈×D₇₃	C₂²	1	1	yes	characteristic
37	#17988338	C₂²	1	1	yes	characteristic
38	#17988337	C₂²	1	2	yes	—
39	#17988334	C₂²	1	2	yes	—
40	#17988332	C₂²	1	2	yes	—
41	#17988331	C₂²	1	2	yes	—
42	#493×C₇₃	C₂²	1	1	yes	characteristic
43	#460×C₇₃	C₂²	1	2	yes	—
44	#446×C₇₃	C₂²	1	1	yes	characteristic
45	#334×C₇₃	C₂²	1	1	yes	characteristic
46	#331×C₇₃	C₂²	1	2	yes	—
47	C₂×#11924027	—	2	2	no	—
48	C₂×Q₈×D₇₃	D₄	1	1	yes	characteristic
49	#14556620	—	4	8	no	—
50	C₂×Dic₂₉₂	—	2	2	no	—
51	C₂×#11924018	—	2	2	no	—
52	C₂×#11924016	—	2	2	no	—
53	C₂×#11924011	—	2	2	no	—
54	C₂×C₈×D₇₃	—	2	1	no	—
55	C₂×C₈×D₇₃	D₄	1	1	yes	characteristic
56	C₂×C₈×D₇₃	D₄	1	1	yes	characteristic
57	#14556591	C₂³	1	2	yes	—
58	#14556578	—	2	2	no	—
59	#14556562	—	2	2	no	—
60	#14556562	—	2	2	no	—
61	Q₈×Dic₇₃	D₄	1	1	yes	characteristic
62	C₄×Dic₁₄₆	—	2	1	no	—
63	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
64	#14556556	—	2	1	no	—
65	#14556556	D₄	1	1	yes	characteristic
66	D₄×Dic₇₃	—	2	2	no	—
67	D₄×Dic₇₃	—	2	2	no	—
68	C₄⋊C₄×D₇₃	—	2	1	no	—
69	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
70	C₄²×D₇₃	—	2	1	no	—
71	C₄²×D₇₃	C₂³	1	1	yes	characteristic
72	#14556525	—	2	1	no	—
73	#14556525	—	2	1	no	—
74	C₄⋊#10596831	—	2	1	no	—
75	C₄⋊#10596831	C₂³	1	2	yes	—
76	C₄⋊#10596831	C₂³	1	1	yes	characteristic
77	#14556520	—	2	1	no	—
78	#14556520	—	2	2	no	—
79	#14556520	—	2	1	no	—
80	#14556520	—	2	1	no	—
81	#14556516	—	2	2	no	—
82	#14556514	—	2	2	no	—
83	#14556512	—	2	2	no	—
84	#14556512	—	2	2	no	—
85	#14556512	—	2	2	no	—
86	#14556502	—	2	1	no	—
87	#14556501	—	2	1	no	—
88	#14556501	—	2	1	no	—
89	C₄×#10596831	C₂³	1	1	yes	characteristic
90	C₈×Dic₇₃	D₄	1	1	yes	characteristic
91	C₈×Dic₇₃	D₄	1	1	yes	characteristic
92	C₂×SD₁₆×C₇₃	—	2	2	no	—
93	C₂×D₈×C₇₃	—	2	1	no	—
94	C₂×D₈×C₇₃	—	2	1	no	—
95	#127×C₇₃	C₂³	1	2	yes	—
96	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
97	C₄⋊C₈×C₇₃	—	2	1	no	—
98	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
99	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
100	#102×C₇₃	—	2	2	no	—
101	#97×C₇₃	—	2	1	no	—
102	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
103	#11924027	—	4	4	no	—
104	#11924027	—	4	4	no	—
105	C₂×Dic₁₄₆	—	2	1	no	—
106	C₂×Dic₁₄₆	—	2	2	no	—
107	C₂×Dic₁₄₆	C₂×D₄	1	1	yes	characteristic
108	Q₈×D₇₃	—	2	4	no	—
109	C₂×C₂²⋊D₇₃	—	4	2	no	—
110	C₂²×Dic₇₃	—	4	2	no	—
111	C₂×C₄×D₇₃	—	2	1	no	—
112	C₂×C₄×D₇₃	—	2	1	no	—
113	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
114	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₄×D₇₃	#41	1	1	yes	characteristic
116	Dic₂₉₂	—	4	4	no	—
117	#11924018	—	4	4	no	—
118	#11924016	—	4	4	no	—
119	#11924011	—	4	4	no	—
120	C₂×#10596831	—	2	1	no	—
121	C₂×#10596831	—	2	2	no	—
122	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
123	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
124	C₈×D₇₃	—	2	2	no	—
125	C₈×D₇₃	—	4	1	no	—
126	C₈×D₇₃	—	4	2	no	—
127	C₄⋊Dic₇₃	—	2	1	no	—
128	C₄⋊Dic₇₃	—	2	2	no	—
129	C₄⋊Dic₇₃	—	2	2	no	—
130	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
131	#11924007	—	2	1	no	—
132	#11924007	—	2	1	no	—
133	#11924007	—	2	1	no	—
134	C₂²⋊Dic₇₃	—	4	2	no	—
135	C₂²⋊Dic₇₃	—	4	2	no	—
136	C₄×Dic₇₃	—	2	1	no	—
137	C₄×Dic₇₃	—	2	1	no	—
138	C₄×Dic₇₃	—	2	1	no	—
139	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
140	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
141	C₄×Dic₇₃	#41	1	1	yes	characteristic
142	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
143	C₂×D₄×C₇₃	—	2	2	no	—
144	C₂×D₄×C₇₃	—	2	2	no	—
145	C₂×D₄×C₇₃	—	2	2	no	—
146	SD₁₆×C₇₃	—	4	4	no	—
147	D₈×C₇₃	—	4	2	no	—
148	D₈×C₇₃	—	4	2	no	—
149	C₂×C₈×C₇₃	—	2	1	no	—
150	C₂×C₈×C₇₃	—	2	2	no	—
151	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
152	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
153	C₄⋊C₄×C₇₃	—	2	1	no	—
154	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
155	C₄²×C₇₃	—	2	1	no	—
156	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
157	C₂³×C₇₃	—	4	2	no	—
158	C₂²×D₇₃	#121	1	1	yes	characteristic
159	Q₈×C₇₃	—	2	2	no	—
160	D₄×C₇₃	—	4	2	no	—
161	D₄×C₇₃	—	4	2	no	—
162	D₄×C₇₃	—	4	2	no	—
163	D₄×C₇₃	—	4	2	no	—
164	D₄×C₇₃	—	8	2	no	—
165	C₂×C₄×C₇₃	—	2	1	no	—
166	C₂×C₄×C₇₃	—	2	1	no	—
167	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
169	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
170	C₂²⋊D₇₃	—	8	4	no	—
171	C₂×Dic₇₃	—	2	1	no	—
172	C₂×Dic₇₃	—	2	1	no	—
173	C₂×Dic₇₃	—	4	2	no	—
174	C₂×Dic₇₃	—	8	4	no	—
175	C₂×Dic₇₃	#121	1	1	yes	characteristic
176	C₂×Dic₇₃	#121	1	1	yes	characteristic
177	C₂×Dic₇₃	#121	1	1	yes	characteristic
178	C₄×D₇₃	—	2	1	no	—
179	C₄×D₇₃	—	2	1	no	—
180	C₄×D₇₃	—	4	1	no	—
181	C₄×D₇₃	—	4	2	no	—
182	C₄×D₇₃	—	4	2	no	—
183	C₄×D₇₃	AGL(1,ℤ/8)	1	4	yes	—
184	Dic₁₄₆	—	2	2	no	—
185	Dic₁₄₆	—	4	2	no	—
186	Dic₁₄₆	—	4	2	no	—
187	Dic₁₄₆	—	4	2	no	—
188	C₈×C₇₃	—	2	1	no	—
189	C₈×C₇₃	—	4	2	no	—
190	C₈×C₇₃	—	4	1	no	—
191	C₈×C₇₃	#137	1	2	yes	complemented
192	#10596831	—	2	1	no	—
193	#10596831	—	2	1	no	—
194	#10596831	—	4	2	no	—
195	#10596831	—	4	1	no	—
196	C₂²×C₇₃	—	8	2	no	—
197	C₂²×C₇₃	—	8	2	no	—
198	C₂²×C₇₃	—	8	2	no	—
199	C₂²×C₇₃	C₂×#121	1	1	yes	characteristic
200	C₂×D₇₃	—	2	1	no	—
201	C₂×D₇₃	—	2	1	no	—
202	C₂×D₇₃	#469	1	2	yes	—
203	C₄×C₇₃	—	2	1	no	—
204	C₄×C₇₃	—	4	1	no	—
205	C₄×C₇₃	—	4	1	no	—
206	C₄×C₇₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
207	C₄×C₇₃	C₂×#137	1	1	yes	characteristic
208	C₄×C₇₃	#575	1	1	yes	characteristic
209	Dic₇₃	—	2	1	no	—
210	Dic₇₃	—	2	1	no	—
211	Dic₇₃	—	4	1	no	—
212	Dic₇₃	—	4	1	no	—
213	Dic₇₃	—	8	2	no	—
214	Dic₇₃	#469	1	2	yes	—
215	#19286	—	73	1	no	maximal, Sylow
216	C₂×C₇₃	—	16	2	no	—
217	C₂×C₇₃	#3037	1	1	yes	characteristic
218	C₂×C₇₃	C₂×#469	1	1	yes	characteristic
219	C₂×C₇₃	#3067	1	1	yes	characteristic
220	D₇₃	—	2	2	no	—
221	#3169	—	73	1	no	—
222	#3037	—	73	2	no	—
223	C₂×#446	—	73	1	no	—
224	#1702	—	73	2	no	—
225	#1702	—	73	2	no	—
226	#1694	—	73	1	no	—
227	#1694	—	73	1	no	—
228	#1688	—	73	1	no	—
229	#1688	D₇₃	1	1	yes	characteristic, complemented
230	#1566	—	73	1	no	—
231	#1547	—	73	2	no	—
232	C₇₃	#19286	1	1	yes	characteristic, complemented, Sylow
233	C₂×#137	—	146	2	no	—
234	#532	—	73	2	no	—
235	C₂×C₄×Q₈	—	73	1	no	—
236	#500	—	73	1	no	—
237	#493	C₂×D₇₃	1	1	yes	characteristic
238	#486	—	73	2	no	—
239	#466	—	146	1	no	—
240	#466	—	146	1	no	—
241	#464	—	146	2	no	—
242	#464	—	146	2	no	—
243	#462	—	73	2	no	—
244	#462	—	73	2	no	—
245	#460	—	73	2	no	—
246	#460	C₂×D₇₃	1	2	yes	—
247	#446	—	73	1	no	—
248	#446	—	73	1	no	—
249	#446	—	73	1	no	—
250	#446	—	146	1	no	—
251	#446	—	146	1	no	—
252	#446	C₂×D₇₃	1	1	yes	characteristic
253	C₄×D₈	—	146	1	no	—
254	C₄×D₈	—	146	1	no	—
255	#423	—	73	2	no	—
256	C₂×C₄⋊C₈	—	73	1	no	—
257	C₂×C₄⋊C₈	—	146	1	no	—
258	#417	—	146	2	no	—
259	C₂×#97	—	146	1	no	—
260	C₂×C₄×C₈	—	73	1	no	—
261	#334	—	73	2	no	—
262	#334	—	73	1	no	—
263	#334	C₂×D₇₃	1	1	yes	characteristic
264	#332	—	73	2	no	—
265	#332	—	73	2	no	—
266	#331	—	73	2	no	—
267	#331	C₂×D₇₃	1	2	yes	—
268	C₂×#41	—	146	2	no	—
269	C₂²×Q₈	—	73	1	no	—
270	#137	—	292	8	no	—
271	C₂×Q₁₆	—	146	2	no	—
272	C₂×Q₁₆	—	146	2	no	—
273	C₂×SD₁₆	—	2	2	no	—
274	C₂×SD₁₆	—	146	2	no	—
275	C₂×D₈	—	2	1	no	—
276	C₂×D₈	—	2	1	no	—
277	C₂×M₁₆	—	146	2	no	—
278	C₂²×C₈	—	73	1	no	—
279	C₂²×C₈	—	73	1	no	—
280	C₂²×C₈	—	146	1	no	—
281	C₄⋊Q₈	—	73	2	no	—
282	#127	C₂²×D₇₃	1	2	yes	—
283	#124	—	146	2	no	—
284	#121	—	146	2	no	—
285	#121	—	146	2	no	—
286	C₄×Q₈	—	73	1	no	—
287	C₄×Q₈	—	73	1	no	—
288	C₄×Q₈	—	73	1	no	—
289	C₄×Q₈	—	146	1	no	—
290	C₄×Q₈	—	146	1	no	—
291	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
292	C₄×D₄	—	146	2	no	—
293	C₄×D₄	—	146	2	no	—
294	C₂×C₄⋊C₄	—	73	1	no	—
295	C₂×C₄⋊C₄	—	146	1	no	—
296	C₂×C₄²	—	73	1	no	—
297	C₂×C₄²	—	146	1	no	—
298	#107	—	146	1	no	—
299	#107	—	146	1	no	—
300	C₄⋊C₈	—	2	1	no	—
301	C₄⋊C₈	—	73	1	no	—
302	C₄⋊C₈	—	73	2	no	—
303	C₄⋊C₈	—	146	1	no	—
304	C₄⋊C₈	—	146	1	no	—
305	C₄⋊C₈	—	146	2	no	—
306	C₄⋊C₈	—	146	1	no	—
307	C₄⋊C₈	—	146	1	no	—
308	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
309	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
310	#103	—	146	2	no	—
311	#103	—	146	2	no	—
312	#102	—	2	2	no	—
313	#102	—	146	2	no	—
314	#102	—	146	2	no	—
315	#102	—	146	2	no	—
316	#97	—	2	1	no	—
317	#97	—	146	1	no	—
318	#97	—	146	1	no	—
319	#97	—	146	1	no	—
320	C₄×C₈	—	73	1	no	—
321	C₄×C₈	—	73	1	no	—
322	C₄×C₈	—	73	1	no	—
323	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
324	#41	—	292	4	no	—
325	#41	—	292	4	no	—
326	C₂×Q₈	—	73	1	no	—
327	C₂×Q₈	—	146	1	no	—
328	C₂×Q₈	—	146	4	no	—
329	C₂×Q₈	—	146	2	no	—
330	C₂×Q₈	D₄×D₇₃	1	1	yes	characteristic
331	C₂×D₄	—	2	2	no	—
332	C₂×D₄	—	2	2	no	—
333	C₂×D₄	—	2	2	no	—
334	C₂×D₄	—	292	2	no	—
335	C₂²×C₄	—	292	2	no	—
336	C₂²×C₄	—	73	1	no	—
337	C₂²×C₄	—	73	1	no	—
338	C₂²×C₄	—	73	1	no	—
339	C₂²×C₄	—	146	1	no	—
340	C₂²×C₄	—	146	1	no	—
341	Q₁₆	—	292	4	no	—
342	Q₁₆	—	292	4	no	—
343	SD₁₆	—	4	4	no	—
344	SD₁₆	—	292	4	no	—
345	D₈	—	4	2	no	—
346	D₈	—	4	2	no	—
347	M₁₆	—	292	4	no	—
348	C₂×C₈	—	2	1	no	—
349	C₂×C₈	—	2	2	no	—
350	C₂×C₈	—	292	1	no	—
351	C₂×C₈	—	292	2	no	—
352	C₂×C₈	—	73	1	no	—
353	C₂×C₈	—	73	1	no	—
354	C₂×C₈	—	146	1	no	—
355	C₂×C₈	—	146	2	no	—
356	C₂×C₈	—	146	2	no	—
357	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
358	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
359	C₄⋊C₄	—	2	1	no	—
360	C₄⋊C₄	—	73	1	no	—
361	C₄⋊C₄	—	146	1	no	—
362	C₄⋊C₄	—	146	1	no	—
363	C₄⋊C₄	—	146	1	no	—
364	C₄⋊C₄	—	146	2	no	—
365	C₄⋊C₄	—	146	2	no	—
366	C₄⋊C₄	—	146	1	no	—
367	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
368	C₂²⋊C₄	—	292	2	no	—
369	C₂²⋊C₄	—	292	2	no	—
370	C₄²	—	2	1	no	—
371	C₄²	—	73	1	no	—
372	C₄²	—	73	1	no	—
373	C₄²	—	73	1	no	—
374	C₄²	—	146	1	no	—
375	C₄²	—	146	1	no	—
376	C₄²	—	146	1	no	—
377	C₄²	C₂³×D₇₃	1	1	yes	characteristic
378	C₂³	—	4	2	no	—
379	C₂³	—	73	1	no	—
380	Q₈	—	2	2	no	—
381	Q₈	—	292	2	no	—
382	Q₈	—	292	2	no	—
383	Q₈	—	292	2	no	—
384	Q₈	—	146	2	no	—
385	D₄	—	4	2	no	—
386	D₄	—	4	2	no	—
387	D₄	—	4	2	no	—
388	D₄	—	4	2	no	—
389	D₄	—	8	2	no	—
390	D₄	—	584	4	no	—
391	C₂×C₄	—	2	1	no	—
392	C₂×C₄	—	2	1	no	—
393	C₂×C₄	—	292	1	no	—
394	C₂×C₄	—	292	2	no	—
395	C₂×C₄	—	292	2	no	—
396	C₂×C₄	—	292	2	no	—
397	C₂×C₄	—	584	4	no	—
398	C₂×C₄	—	73	1	no	—
399	C₂×C₄	—	73	4	no	—
400	C₂×C₄	—	73	1	no	—
401	C₂×C₄	—	73	1	no	—
402	C₂×C₄	—	146	1	no	—
403	C₂×C₄	—	146	1	no	—
404	C₂×C₄	—	146	1	no	—
405	C₂×C₄	—	146	1	no	—
406	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
407	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
408	C₂×C₄	#41×D₇₃	1	1	yes	characteristic
409	C₈	—	2	1	no	—
410	C₈	—	4	1	no	—
411	C₈	—	4	2	no	—
412	C₈	—	292	1	no	—
413	C₈	—	292	2	no	—
414	C₈	—	146	1	no	—
415	C₈	—	146	1	no	—
416	C₈	#14556620	1	2	yes	complemented
417	C₂²	—	8	2	no	—
418	C₂²	—	8	2	no	—
419	C₂²	—	8	2	no	—
420	C₂²	—	73	2	no	—
421	C₂²	—	146	1	no	—
422	C₂²	—	146	1	no	—
423	C₂²	#121×D₇₃	1	1	yes	characteristic
424	C₄	—	2	1	no	—
425	C₄	—	4	1	no	—
426	C₄	—	4	1	no	—
427	C₄	—	292	1	no	—
428	C₄	—	292	1	no	—
429	C₄	—	584	2	no	—
430	C₄	—	73	2	no	—
431	C₄	—	146	1	no	—
432	C₄	—	146	1	no	—
433	C₄	AGL(1,ℤ/8)×D₇₃	1	2	yes	—
434	C₄	C₂×#14556620	1	1	yes	characteristic
435	C₄	#17989383	1	1	yes	characteristic
436	C₂	—	16	2	no	—
437	C₂	—	146	2	no	—
438	C₂	#22619398	1	1	yes	characteristic
439	C₂	#469×D₇₃	1	1	yes	characteristic
440	C₂	#22619649	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#121×D₇₃
commutator, cosocle	C₄²×C₇₃	C₂⁴
Frattini	C₄²	C₂³×D₇₃
Fitting	C₇₃×#1688	C₂
socle	C₂²×C₇₃	C₂×#121
prime radical	#22620508	C₂
hypercenter	#1688	D₇₃
hypocenter	C₇₃	#19286
LCS	G ▷ C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1688

Complements

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

N	H ≅ G/N	type
2. #22619398	C₂	semidirect
3. #446×D₇₃	C₂	semidirect
4. #22609498	C₂	semidirect
5. #22609497	C₂	semidirect
6. #22609450	C₂	semidirect
7. #22609449	C₂	semidirect
8. #22609412	C₂	semidirect
9. #22608685	C₂	semidirect
10. #22608605	C₂	semidirect
11. C₇₃×#1688	C₂	semidirect
191. C₈×C₇₃	#137	semidirect
229. #1688	D₇₃	semidirect
232. C₇₃	#19286	semidirect
416. C₈	#14556620	semidirect

Maximal subgroups

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

subgroup	index
#22620508	2
#22619398	2
#446×D₇₃	2
#22609498	2
#22609497	2
#22609450	2
#22609449	2
#22609412	2
#22608685	2
#22608605	2
C₇₃×#1688	2
#19286	73