Subgroups — #33069849

Order 18688.

650 conjugacy classes of subgroups.

The subgroup lattice has 440 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	#22620052	C₂	1	2	yes	maximal, complemented
3	C₈×Q₈×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#22609346	C₂	1	2	yes	maximal, complemented
5	#22609345	C₂	1	2	yes	maximal, complemented
6	#22609336	C₂	1	1	yes	maximal, characteristic, complemented
7	#22609335	C₂	1	1	yes	maximal, characteristic, complemented
8	#22609288	C₂	1	1	yes	maximal, characteristic, complemented
9	#22608693	C₂	1	1	yes	maximal, characteristic, complemented
10	#22608623	C₂	1	2	yes	maximal, complemented
11	C₇₃×#1668	C₂	1	1	yes	maximal, characteristic, complemented
12	#17989135	C₂²	1	2	yes	—
13	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
14	#17988992	C₂²	1	1	yes	characteristic
15	#17988933	C₂²	1	2	yes	—
16	#17988899	—	2	2	no	—
17	#17988883	C₂²	1	2	yes	—
18	#17988882	C₂²	1	2	yes	—
19	#17988820	—	2	1	no	—
20	#17988820	—	2	1	no	—
21	#17988784	C₂²	1	2	yes	—
22	#17988724	—	2	2	no	—
23	Q₈×#10596831	C₂²	1	1	yes	characteristic
24	C₈×Dic₁₄₆	—	2	1	no	—
25	C₈×Dic₁₄₆	C₂²	1	1	yes	characteristic
26	#17988711	—	2	1	no	—
27	#17988711	C₂²	1	1	yes	characteristic
28	#17988688	—	2	2	no	—
29	#17988684	—	2	2	no	—
30	D₈×Dic₇₃	—	2	1	no	—
31	D₈×Dic₇₃	—	2	1	no	—
32	#17988643	C₂²	1	2	yes	—
33	C₄⋊C₈×D₇₃	—	2	1	no	—
34	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
35	C₄×C₈×D₇₃	—	2	1	no	—
36	C₄×C₈×D₇₃	C₂²	1	1	yes	characteristic
37	#17988340	C₂²	1	1	yes	characteristic
38	#17988337	C₂²	1	2	yes	—
39	#17988335	C₂²	1	2	yes	—
40	#17988335	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	C₈×Q₈×C₇₃	C₂²	1	1	yes	characteristic
45	#335×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	C₂×#11924016	—	2	2	no	—
50	C₂×C₈×D₇₃	—	2	1	no	—
51	C₂×C₈×D₇₃	D₄	1	1	yes	characteristic
52	C₂×C₈×D₇₃	D₄	1	1	yes	characteristic
53	#14556591	C₂³	1	2	yes	—
54	#14556578	—	2	2	no	—
55	#14556562	—	2	2	no	—
56	#14556562	—	2	2	no	—
57	Q₈×Dic₇₃	D₄	1	1	yes	characteristic
58	C₄×Dic₁₄₆	—	2	1	no	—
59	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
60	#14556556	—	2	1	no	—
61	#14556556	D₄	1	1	yes	characteristic
62	D₄×Dic₇₃	—	2	2	no	—
63	D₄×Dic₇₃	—	2	2	no	—
64	C₄⋊C₄×D₇₃	—	2	1	no	—
65	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
66	C₄²×D₇₃	—	2	1	no	—
67	C₄²×D₇₃	C₂³	1	1	yes	characteristic
68	#14556525	—	2	2	no	—
69	#14556525	—	2	1	no	—
70	#14556525	—	2	1	no	—
71	#14556524	—	2	2	no	—
72	C₄⋊#10596831	—	2	1	no	—
73	C₄⋊#10596831	C₂³	1	2	yes	—
74	C₄⋊#10596831	C₂³	1	1	yes	characteristic
75	#14556520	—	2	1	no	—
76	#14556520	—	2	1	no	—
77	#14556520	—	2	1	no	—
78	#14556516	—	2	2	no	—
79	#14556515	—	2	2	no	—
80	#14556512	—	2	2	no	—
81	#14556512	—	2	2	no	—
82	#14556512	—	2	2	no	—
83	#14556503	—	2	2	no	—
84	#14556501	—	2	2	no	—
85	C₄×#10596831	—	2	1	no	—
86	C₄×#10596831	C₂³	1	1	yes	characteristic
87	C₈×Dic₇₃	—	2	1	no	—
88	C₈×Dic₇₃	—	2	1	no	—
89	C₈×Dic₇₃	D₄	1	1	yes	characteristic
90	C₈×Dic₇₃	D₄	1	1	yes	characteristic
91	C₂×SD₁₆×C₇₃	—	2	2	no	—
92	C₂×D₈×C₇₃	—	2	1	no	—
93	C₂×D₈×C₇₃	—	2	1	no	—
94	#127×C₇₃	C₂³	1	2	yes	—
95	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
96	C₄⋊C₈×C₇₃	—	2	1	no	—
97	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
98	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
99	#102×C₇₃	—	2	2	no	—
100	C₄×C₈×C₇₃	—	2	1	no	—
101	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
102	#11924027	—	8	4	no	—
103	C₂×Dic₁₄₆	—	2	1	no	—
104	C₂×Dic₁₄₆	—	2	2	no	—
105	C₂×Dic₁₄₆	C₂×D₄	1	1	yes	characteristic
106	Q₈×D₇₃	—	2	2	no	—
107	Q₈×D₇₃	—	2	2	no	—
108	C₂×C₂²⋊D₇₃	—	4	2	no	—
109	C₂²×Dic₇₃	—	4	2	no	—
110	C₂×C₄×D₇₃	—	2	1	no	—
111	C₂×C₄×D₇₃	—	2	1	no	—
112	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
113	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
114	C₂×C₄×D₇₃	#41	1	1	yes	characteristic
115	#11924016	—	4	4	no	—
116	C₂×#10596831	—	2	1	no	—
117	C₂×#10596831	—	2	2	no	—
118	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
119	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
120	C₈×D₇₃	—	2	2	no	—
121	C₈×D₇₃	—	4	1	no	—
122	C₈×D₇₃	—	4	2	no	—
123	C₄⋊Dic₇₃	—	2	1	no	—
124	C₄⋊Dic₇₃	—	2	2	no	—
125	C₄⋊Dic₇₃	—	2	2	no	—
126	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
127	#11924007	—	2	1	no	—
128	#11924007	—	2	1	no	—
129	#11924007	—	2	1	no	—
130	C₂²⋊Dic₇₃	—	4	2	no	—
131	C₂²⋊Dic₇₃	—	4	2	no	—
132	C₄×Dic₇₃	—	2	1	no	—
133	C₄×Dic₇₃	—	2	1	no	—
134	C₄×Dic₇₃	—	2	1	no	—
135	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
136	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
137	C₄×Dic₇₃	#41	1	1	yes	characteristic
138	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
139	C₂×D₄×C₇₃	—	2	2	no	—
140	C₂×D₄×C₇₃	—	2	2	no	—
141	C₂×D₄×C₇₃	—	2	2	no	—
142	SD₁₆×C₇₃	—	4	4	no	—
143	D₈×C₇₃	—	4	2	no	—
144	D₈×C₇₃	—	4	2	no	—
145	C₂×C₈×C₇₃	—	2	1	no	—
146	C₂×C₈×C₇₃	—	2	2	no	—
147	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
148	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
149	C₄⋊C₄×C₇₃	—	2	1	no	—
150	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
151	C₄²×C₇₃	—	2	1	no	—
152	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
153	C₂³×C₇₃	—	4	2	no	—
154	C₂²×D₇₃	#121	1	1	yes	characteristic
155	Q₈×C₇₃	—	2	1	no	—
156	Q₈×C₇₃	#135	1	2	yes	—
157	D₄×C₇₃	—	4	2	no	—
158	D₄×C₇₃	—	4	2	no	—
159	D₄×C₇₃	—	4	2	no	—
160	D₄×C₇₃	—	4	2	no	—
161	D₄×C₇₃	—	8	2	no	—
162	C₂×C₄×C₇₃	—	2	1	no	—
163	C₂×C₄×C₇₃	—	2	1	no	—
164	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
167	C₂²⋊D₇₃	—	8	4	no	—
168	C₂×Dic₇₃	—	2	1	no	—
169	C₂×Dic₇₃	—	2	1	no	—
170	C₂×Dic₇₃	—	4	2	no	—
171	C₂×Dic₇₃	—	8	4	no	—
172	C₂×Dic₇₃	#121	1	1	yes	characteristic
173	C₂×Dic₇₃	#121	1	1	yes	characteristic
174	C₂×Dic₇₃	#121	1	1	yes	characteristic
175	C₄×D₇₃	—	2	4	no	—
176	C₄×D₇₃	—	2	2	no	—
177	C₄×D₇₃	—	2	1	no	—
178	C₄×D₇₃	—	2	1	no	—
179	C₄×D₇₃	—	2	1	no	—
180	C₄×D₇₃	—	2	1	no	—
181	C₄×D₇₃	—	4	2	no	—
182	Dic₁₄₆	—	2	4	no	—
183	Dic₁₄₆	—	2	1	no	—
184	Dic₁₄₆	—	8	2	no	—
185	Dic₁₄₆	#135	1	2	yes	—
186	C₈×C₇₃	—	2	1	no	—
187	C₈×C₇₃	—	4	2	no	—
188	C₈×C₇₃	—	4	1	no	—
189	C₈×C₇₃	#137	1	2	yes	—
190	#10596831	—	2	1	no	—
191	#10596831	—	2	1	no	—
192	#10596831	—	4	2	no	—
193	#10596831	—	4	1	no	—
194	C₂²×C₇₃	—	8	2	no	—
195	C₂²×C₇₃	—	8	2	no	—
196	C₂²×C₇₃	—	8	2	no	—
197	C₂²×C₇₃	C₂×#121	1	1	yes	characteristic
198	C₂×D₇₃	—	2	1	no	—
199	C₂×D₇₃	—	2	1	no	—
200	C₂×D₇₃	#472	1	2	yes	—
201	C₄×C₇₃	—	2	2	no	—
202	C₄×C₇₃	—	2	1	no	—
203	C₄×C₇₃	—	4	1	no	—
204	C₄×C₇₃	C₂×#135	1	1	yes	characteristic
205	C₄×C₇₃	C₂×#135	1	1	yes	characteristic
206	C₄×C₇₃	C₂×#137	1	1	yes	characteristic
207	C₄×C₇₃	#575	1	1	yes	characteristic
208	Dic₇₃	—	2	1	no	—
209	Dic₇₃	—	2	1	no	—
210	Dic₇₃	—	2	2	no	—
211	Dic₇₃	—	2	1	no	—
212	Dic₇₃	—	4	1	no	—
213	Dic₇₃	—	8	2	no	—
214	#19264	—	73	1	no	maximal, Sylow
215	C₂×C₇₃	—	16	2	no	—
216	C₂×C₇₃	#3037	1	1	yes	characteristic
217	C₂×C₇₃	#3050	1	1	yes	characteristic
218	C₂×C₇₃	C₂×#472	1	1	yes	characteristic
219	D₇₃	—	2	2	no	—
220	#3169	—	73	1	no	—
221	#3112	—	73	2	no	—
222	C₂×C₈×Q₈	—	73	1	no	—
223	#1678	—	73	2	no	—
224	#1678	—	73	2	no	—
225	#1676	—	73	1	no	—
226	#1676	—	73	1	no	—
227	#1668	—	73	1	no	—
228	#1668	D₇₃	1	1	yes	characteristic, complemented
229	#1568	—	73	1	no	—
230	#1551	—	73	2	no	—
231	C₇₃	#19264	1	1	yes	characteristic, complemented, Sylow
232	#532	—	73	2	no	—
233	C₂×C₄×Q₈	—	73	1	no	—
234	#500	—	73	1	no	—
235	#493	C₂×D₇₃	1	1	yes	characteristic
236	#486	—	73	2	no	—
237	#480	—	146	2	no	—
238	#477	—	73	2	no	—
239	#477	—	73	2	no	—
240	#466	—	146	1	no	—
241	#466	—	146	1	no	—
242	#460	—	73	2	no	—
243	#460	C₂×D₇₃	1	2	yes	—
244	#448	—	146	2	no	—
245	C₈×Q₈	—	73	1	no	—
246	C₈×Q₈	—	73	1	no	—
247	C₈×Q₈	—	73	1	no	—
248	C₈×Q₈	—	146	1	no	—
249	C₈×Q₈	—	146	1	no	—
250	C₈×Q₈	C₂×D₇₃	1	1	yes	characteristic
251	#440	—	146	2	no	—
252	#440	—	146	2	no	—
253	C₄×D₈	—	146	1	no	—
254	C₄×D₈	—	146	1	no	—
255	#432	—	73	2	no	—
256	C₂×C₄⋊C₈	—	73	1	no	—
257	C₂×C₄⋊C₈	—	146	1	no	—
258	C₂×C₄×C₈	—	73	1	no	—
259	C₂×C₄×C₈	—	146	1	no	—
260	#335	—	73	1	no	—
261	#335	C₂×D₇₃	1	1	yes	characteristic
262	#334	—	73	2	no	—
263	#333	—	73	2	no	—
264	#333	—	73	2	no	—
265	#331	—	73	2	no	—
266	#331	C₂×D₇₃	1	2	yes	—
267	C₂×#41	—	146	2	no	—
268	C₂²×Q₈	—	73	1	no	—
269	C₂×SD₁₆	—	2	2	no	—
270	C₂×SD₁₆	—	146	2	no	—
271	C₂×D₈	—	2	1	no	—
272	C₂×D₈	—	2	1	no	—
273	C₂²×C₈	—	73	1	no	—
274	C₂²×C₈	—	73	1	no	—
275	C₂²×C₈	—	146	1	no	—
276	C₄⋊Q₈	—	73	2	no	—
277	#127	C₂²×D₇₃	1	2	yes	—
278	#124	—	146	2	no	—
279	#121	—	146	2	no	—
280	#121	—	146	2	no	—
281	C₄×Q₈	—	73	1	no	—
282	C₄×Q₈	—	73	1	no	—
283	C₄×Q₈	—	73	1	no	—
284	C₄×Q₈	—	146	1	no	—
285	C₄×Q₈	—	146	1	no	—
286	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
287	C₄×D₄	—	146	2	no	—
288	C₄×D₄	—	146	2	no	—
289	C₂×C₄⋊C₄	—	73	1	no	—
290	C₂×C₄⋊C₄	—	146	1	no	—
291	C₂×C₄²	—	73	1	no	—
292	C₂×C₄²	—	146	1	no	—
293	#107	—	146	2	no	—
294	#107	—	146	1	no	—
295	#107	—	146	1	no	—
296	#107	—	146	2	no	—
297	C₄⋊C₈	—	2	1	no	—
298	C₄⋊C₈	—	73	1	no	—
299	C₄⋊C₈	—	73	2	no	—
300	C₄⋊C₈	—	146	1	no	—
301	C₄⋊C₈	—	146	1	no	—
302	C₄⋊C₈	—	146	1	no	—
303	C₄⋊C₈	—	146	1	no	—
304	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
305	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
306	#103	—	146	2	no	—
307	#103	—	146	2	no	—
308	#102	—	2	2	no	—
309	#102	—	146	2	no	—
310	#102	—	146	2	no	—
311	#102	—	146	2	no	—
312	C₂²⋊C₈	—	146	2	no	—
313	#97	—	146	2	no	—
314	C₄×C₈	—	2	1	no	—
315	C₄×C₈	—	73	1	no	—
316	C₄×C₈	—	73	1	no	—
317	C₄×C₈	—	73	1	no	—
318	C₄×C₈	—	146	1	no	—
319	C₄×C₈	—	146	1	no	—
320	C₄×C₈	—	146	1	no	—
321	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
322	#41	—	584	4	no	—
323	C₂×Q₈	—	73	1	no	—
324	C₂×Q₈	—	146	1	no	—
325	C₂×Q₈	—	146	2	no	—
326	C₂×Q₈	—	146	2	no	—
327	C₂×Q₈	—	146	2	no	—
328	C₂×Q₈	D₄×D₇₃	1	1	yes	characteristic
329	C₂×D₄	—	2	2	no	—
330	C₂×D₄	—	2	2	no	—
331	C₂×D₄	—	2	2	no	—
332	C₂×D₄	—	292	2	no	—
333	C₂²×C₄	—	292	2	no	—
334	C₂²×C₄	—	73	1	no	—
335	C₂²×C₄	—	73	1	no	—
336	C₂²×C₄	—	73	1	no	—
337	C₂²×C₄	—	146	1	no	—
338	C₂²×C₄	—	146	1	no	—
339	SD₁₆	—	4	4	no	—
340	SD₁₆	—	292	4	no	—
341	D₈	—	4	2	no	—
342	D₈	—	4	2	no	—
343	C₂×C₈	—	2	1	no	—
344	C₂×C₈	—	2	2	no	—
345	C₂×C₈	—	292	1	no	—
346	C₂×C₈	—	292	2	no	—
347	C₂×C₈	—	73	1	no	—
348	C₂×C₈	—	73	1	no	—
349	C₂×C₈	—	146	1	no	—
350	C₂×C₈	—	146	2	no	—
351	C₂×C₈	—	146	2	no	—
352	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
353	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
354	C₄⋊C₄	—	2	1	no	—
355	C₄⋊C₄	—	73	1	no	—
356	C₄⋊C₄	—	146	1	no	—
357	C₄⋊C₄	—	146	1	no	—
358	C₄⋊C₄	—	146	1	no	—
359	C₄⋊C₄	—	146	2	no	—
360	C₄⋊C₄	—	146	2	no	—
361	C₄⋊C₄	—	146	1	no	—
362	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
363	C₂²⋊C₄	—	292	2	no	—
364	C₂²⋊C₄	—	292	2	no	—
365	C₄²	—	2	1	no	—
366	C₄²	—	73	1	no	—
367	C₄²	—	73	1	no	—
368	C₄²	—	73	1	no	—
369	C₄²	—	146	1	no	—
370	C₄²	—	146	1	no	—
371	C₄²	—	146	1	no	—
372	C₄²	C₂³×D₇₃	1	1	yes	characteristic
373	C₂³	—	4	2	no	—
374	C₂³	—	73	1	no	—
375	Q₈	—	2	1	no	—
376	Q₈	—	584	2	no	—
377	Q₈	—	73	2	no	—
378	Q₈	—	146	4	no	—
379	Q₈	—	146	1	no	—
380	Q₈	#14556610	1	2	yes	—
381	D₄	—	4	2	no	—
382	D₄	—	4	2	no	—
383	D₄	—	4	2	no	—
384	D₄	—	4	2	no	—
385	D₄	—	8	2	no	—
386	D₄	—	584	4	no	—
387	C₂×C₄	—	2	1	no	—
388	C₂×C₄	—	2	1	no	—
389	C₂×C₄	—	292	2	no	—
390	C₂×C₄	—	292	2	no	—
391	C₂×C₄	—	584	4	no	—
392	C₂×C₄	—	73	1	no	—
393	C₂×C₄	—	73	1	no	—
394	C₂×C₄	—	73	1	no	—
395	C₂×C₄	—	146	2	no	—
396	C₂×C₄	—	146	4	no	—
397	C₂×C₄	—	146	1	no	—
398	C₂×C₄	—	146	1	no	—
399	C₂×C₄	—	146	1	no	—
400	C₂×C₄	—	146	1	no	—
401	C₂×C₄	—	146	1	no	—
402	C₂×C₄	—	146	1	no	—
403	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
404	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
405	C₂×C₄	#41×D₇₃	1	1	yes	characteristic
406	C₈	—	2	1	no	—
407	C₈	—	4	1	no	—
408	C₈	—	4	2	no	—
409	C₈	—	292	1	no	—
410	C₈	—	292	2	no	—
411	C₈	—	146	1	no	—
412	C₈	—	146	1	no	—
413	C₈	#14556620	1	2	yes	—
414	C₂²	—	8	2	no	—
415	C₂²	—	8	2	no	—
416	C₂²	—	8	2	no	—
417	C₂²	—	73	2	no	—
418	C₂²	—	146	1	no	—
419	C₂²	—	146	1	no	—
420	C₂²	#121×D₇₃	1	1	yes	characteristic
421	C₄	—	2	2	no	—
422	C₄	—	2	1	no	—
423	C₄	—	4	1	no	—
424	C₄	—	292	1	no	—
425	C₄	—	584	2	no	—
426	C₄	—	146	1	no	—
427	C₄	—	146	1	no	—
428	C₄	—	146	2	no	—
429	C₄	—	146	1	no	—
430	C₄	#135×D₇₃	1	1	yes	characteristic
431	C₄	C₂×#14556610	1	1	yes	characteristic
432	C₄	C₂×#14556620	1	1	yes	characteristic
433	C₄	#17989383	1	1	yes	characteristic
434	C₂	—	16	2	no	—
435	C₂	—	146	2	no	—
436	C₂	#22619398	1	1	yes	characteristic
437	C₂	#22619510	1	1	yes	characteristic
438	C₂	#472×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#121×D₇₃
commutator, cosocle	C₄²×C₇₃	C₂⁴
Frattini	C₄²	C₂³×D₇₃
Fitting	C₇₃×#1668	C₂
socle	C₂²×C₇₃	C₂×#121
prime radical	#22620508	C₂
hypercenter	#1668	D₇₃
hypocenter	C₇₃	#19264
LCS	G ▷ C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1668

Complements

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

N	H ≅ G/N	type
2. #22620052	C₂	semidirect
3. C₈×Q₈×D₇₃	C₂	semidirect
4. #22609346	C₂	semidirect
5. #22609345	C₂	semidirect
6. #22609336	C₂	semidirect
7. #22609335	C₂	semidirect
8. #22609288	C₂	semidirect
9. #22608693	C₂	semidirect
10. #22608623	C₂	semidirect
11. C₇₃×#1668	C₂	semidirect
228. #1668	D₇₃	semidirect
231. C₇₃	#19264	semidirect

Maximal subgroups

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

subgroup	index
#22620508	2
#22620052	2
C₈×Q₈×D₇₃	2
#22609346	2
#22609345	2
#22609336	2
#22609335	2
#22609288	2
#22608693	2
#22608623	2
C₇₃×#1668	2
#19264	73