Subgroups — #33073834

Order 18688.

784 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22621075	C₂	1	1	yes	maximal, characteristic, complemented
2	#22620856	C₂	1	1	yes	maximal, characteristic
3	#22620490	C₂	1	1	yes	maximal, characteristic
4	#22620473	C₂	1	1	yes	maximal, characteristic, complemented
5	#22620388	C₂	1	1	yes	maximal, characteristic
6	#22609563	C₂	1	2	yes	maximal, complemented
7	#22609556	C₂	1	2	yes	maximal, complemented
8	#22609526	C₂	1	2	yes	maximal, complemented
9	#22609519	C₂	1	2	yes	maximal, complemented
10	C₈×#11924012	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#498×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14556622	—	2	2	no	—
13	#17989144	C₂²	1	1	yes	characteristic
14	#17989137	C₂²	1	1	yes	characteristic
15	#17988993	—	2	2	no	—
16	#17988990	C₂²	1	2	yes	—
17	#17988985	C₂²	1	1	yes	characteristic
18	#17988983	C₂²	1	2	yes	—
19	#17988983	C₂²	1	2	yes	—
20	#17988979	—	2	2	no	—
21	#17988966	C₂²	1	2	yes	—
22	#17988961	C₂²	1	2	yes	—
23	#17988961	C₂²	1	2	yes	—
24	#17988960	C₂²	1	1	yes	characteristic
25	#17988939	C₂²	1	2	yes	—
26	#17988938	C₂²	1	1	yes	characteristic
27	#17988937	C₂²	1	2	yes	—
28	#17988934	C₂²	1	1	yes	characteristic
29	#17988917	—	2	2	no	—
30	#17988869	—	2	2	no	—
31	#17988816	—	2	2	no	—
32	#17988789	—	2	2	no	—
33	#17988726	—	2	2	no	—
34	C₄×#11924017	—	2	2	no	—
35	#17988640	C₂²	1	1	yes	characteristic
36	#17988627	—	2	2	no	—
37	C₄×#11924012	C₂²	1	1	yes	characteristic
38	#17988309	C₂²	1	2	yes	—
39	C₈×#10596831	C₂²	1	2	yes	—
40	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
42	#498×C₇₃	—	2	2	no	—
43	#498×C₇₃	C₂²	1	2	yes	—
44	#498×C₇₃	C₂²	1	2	yes	—
45	C₂×#106×C₇₃	—	2	2	no	—
46	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
47	C₂×#11924028	—	2	1	no	—
48	#14556622	—	4	8	no	—
49	C₂×#11924018	—	2	4	no	—
50	C₂×#11924017	—	2	2	no	—
51	C₂×#11924015	—	2	4	no	—
52	C₂×#11924015	—	2	4	no	—
53	C₂×#11924012	D₄	1	2	yes	—
54	#14556591	C₂³	1	1	yes	characteristic
55	#14556591	C₂³	1	1	yes	characteristic
56	#14556591	C₂³	1	1	yes	characteristic
57	#14556588	C₂³	1	1	yes	characteristic
58	#14556583	—	2	1	no	—
59	#14556579	—	2	1	no	—
60	#14556570	—	2	1	no	—
61	#14556570	—	2	1	no	—
62	#14556565	—	2	1	no	—
63	#14556565	—	2	1	no	—
64	C₄×Dic₁₄₆	—	2	1	no	—
65	C₄×Dic₁₄₆	—	2	1	no	—
66	C₄×D₂₉₂	—	2	1	no	—
67	C₄×D₂₉₂	—	2	1	no	—
68	#14556550	—	2	1	no	—
69	#14556524	—	2	4	no	—
70	#14556523	—	2	2	no	—
71	#14556522	—	2	4	no	—
72	#14556522	—	2	4	no	—
73	C₄⋊#10596831	D₄	1	2	yes	—
74	#14556516	—	2	2	no	—
75	#14556515	—	2	4	no	—
76	#14556514	—	2	4	no	—
77	#14556513	—	2	2	no	—
78	C₂²⋊#10596831	D₄	1	2	yes	—
79	#14556502	D₄	1	2	yes	—
80	C₄×#10596831	C₂³	1	2	yes	—
81	C₄×#10596831	C₂³	1	2	yes	—
82	C₂²×Q₈×C₇₃	—	2	1	no	—
83	C₂²×Q₈×C₇₃	—	2	1	no	—
84	C₂²×C₈×C₇₃	D₄	1	2	yes	—
85	C₄⋊Q₈×C₇₃	—	2	1	no	—
86	C₄⋊Q₈×C₇₃	—	2	1	no	—
87	C₄⋊Q₈×C₇₃	—	2	1	no	—
88	C₄⋊Q₈×C₇₃	—	2	1	no	—
89	C₄⋊Q₈×C₇₃	—	2	1	no	—
90	C₄⋊Q₈×C₇₃	—	2	1	no	—
91	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
92	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
93	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
94	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
95	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
96	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
97	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
98	#106×C₇₃	—	2	4	no	—
99	#106×C₇₃	—	2	4	no	—
100	C₄×C₈×C₇₃	D₄	1	2	yes	—
101	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
102	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
103	#11924028	—	4	4	no	—
104	C₂×Dic₁₄₆	—	2	1	no	—
105	C₂×Dic₁₄₆	—	2	1	no	—
106	C₂×Dic₁₄₆	—	2	1	no	—
107	C₂×D₂₉₂	—	2	1	no	—
108	C₂×D₂₉₂	—	2	1	no	—
109	C₂×D₂₉₂	—	2	1	no	—
110	C₂×C₂²⋊D₇₃	—	4	1	no	—
111	C₂×C₄×D₇₃	—	4	1	no	—
112	#11924018	—	4	8	no	—
113	#11924017	—	4	4	no	—
114	#11924015	—	4	8	no	—
115	#11924015	—	8	4	no	—
116	#11924012	SD₁₆	1	8	yes	complemented
117	C₂×#10596831	C₂×D₄	1	4	yes	—
118	C₂×#10596831	C₂×D₄	1	4	yes	—
119	C₄⋊Dic₇₃	—	2	1	no	—
120	C₄⋊Dic₇₃	—	2	1	no	—
121	C₄⋊Dic₇₃	—	2	1	no	—
122	C₄⋊Dic₇₃	—	2	1	no	—
123	C₄⋊Dic₇₃	—	2	1	no	—
124	C₄⋊Dic₇₃	—	2	1	no	—
125	#11924007	—	4	1	no	—
126	#11924007	—	4	1	no	—
127	C₂²⋊Dic₇₃	—	4	1	no	—
128	#11924005	—	4	1	no	—
129	#11924005	—	4	1	no	—
130	C₄×Dic₇₃	—	4	1	no	—
131	C₂×Q₈×C₇₃	—	2	2	no	—
132	C₂×Q₈×C₇₃	—	2	2	no	—
133	C₂×Q₈×C₇₃	—	4	1	no	—
134	C₂×Q₈×C₇₃	—	4	1	no	—
135	C₂×Q₈×C₇₃	—	4	4	no	—
136	C₂×Q₈×C₇₃	—	8	2	no	—
137	C₂²×C₄×C₇₃	—	4	1	no	—
138	C₂²×C₄×C₇₃	—	4	1	no	—
139	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
140	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
141	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
142	C₂×C₈×C₇₃	—	2	4	no	—
143	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
144	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
145	C₄⋊C₄×C₇₃	—	2	2	no	—
146	C₄⋊C₄×C₇₃	—	2	2	no	—
147	C₄⋊C₄×C₇₃	—	2	2	no	—
148	C₄⋊C₄×C₇₃	—	2	2	no	—
149	C₄⋊C₄×C₇₃	—	4	1	no	—
150	C₄⋊C₄×C₇₃	—	4	1	no	—
151	C₄⋊C₄×C₇₃	—	4	1	no	—
152	C₄⋊C₄×C₇₃	—	4	1	no	—
153	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
154	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
155	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
156	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
157	C₂³×C₇₃	#127	1	1	yes	characteristic
158	C₂²×D₇₃	—	4	1	no	—
159	Q₈×C₇₃	—	4	4	no	—
160	Q₈×C₇₃	—	4	4	no	—
161	Q₈×C₇₃	—	8	2	no	—
162	Q₈×C₇₃	—	8	2	no	—
163	C₂×C₄×C₇₃	—	2	2	no	—
164	C₂×C₄×C₇₃	—	2	2	no	—
165	C₂×C₄×C₇₃	—	4	2	no	—
166	C₂×C₄×C₇₃	—	4	2	no	—
167	C₂×C₄×C₇₃	—	8	2	no	—
168	C₂×C₄×C₇₃	—	8	2	no	—
169	C₂×C₄×C₇₃	#127	1	1	yes	characteristic
170	C₂×C₄×C₇₃	#127	1	1	yes	characteristic
171	C₂×C₄×C₇₃	#127	1	1	yes	characteristic
172	C₂×C₄×C₇₃	C₂×SD₁₆	1	4	yes	—
173	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
174	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
175	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
176	C₂²⋊D₇₃	—	8	2	no	—
177	C₂×Dic₇₃	—	4	1	no	—
178	C₂×Dic₇₃	—	4	1	no	—
179	C₂×Dic₇₃	—	4	1	no	—
180	D₂₉₂	—	4	2	no	—
181	D₂₉₂	—	4	2	no	—
182	D₂₉₂	—	4	2	no	—
183	C₄×D₇₃	—	8	2	no	—
184	Dic₁₄₆	—	4	2	no	—
185	Dic₁₄₆	—	4	2	no	—
186	Dic₁₄₆	—	4	2	no	—
187	C₈×C₇₃	—	2	2	no	—
188	C₈×C₇₃	#137	1	4	yes	complemented
189	#10596831	—	2	4	no	—
190	#10596831	C₂×SD₁₆	1	8	yes	—
191	C₂²×C₇₃	—	2	1	no	—
192	C₂²×C₇₃	—	2	1	no	—
193	C₂²×C₇₃	#492	1	2	yes	—
194	C₂²×C₇₃	C₂×#127	1	1	yes	characteristic
195	C₂×D₇₃	—	8	1	no	—
196	C₂×D₇₃	—	8	1	no	—
197	C₂×D₇₃	—	8	1	no	—
198	C₄×C₇₃	—	2	1	no	—
199	C₄×C₇₃	—	2	1	no	—
200	C₄×C₇₃	—	8	2	no	—
201	C₄×C₇₃	—	8	2	no	—
202	C₄×C₇₃	#492	1	2	yes	—
203	C₄×C₇₃	C₂²×SD₁₆	1	2	yes	—
204	C₄×C₇₃	C₂×#137	1	2	yes	—
205	C₄×C₇₃	#577	1	2	yes	—
206	Dic₇₃	—	8	1	no	—
207	Dic₇₃	—	8	1	no	—
208	Dic₇₃	—	8	1	no	—
209	#19622	—	73	1	no	maximal, Sylow
210	C₂×C₇₃	—	2	2	no	—
211	C₂×C₇₃	C₂×#492	1	1	yes	characteristic
212	C₂×C₇₃	#3152	1	1	yes	characteristic
213	C₂×C₇₃	#3154	1	1	yes	characteristic
214	D₇₃	—	16	1	no	—
215	#3229	—	73	1	no	—
216	#3206	—	73	1	no	—
217	#3167	—	73	1	no	—
218	#3165	—	73	1	no	—
219	C₂×#498	D₇₃	1	1	yes	characteristic, complemented
220	#3152	—	73	1	no	—
221	#1716	—	73	2	no	—
222	#1714	—	73	2	no	—
223	#1707	—	73	2	no	—
224	#1705	—	73	2	no	—
225	C₈×M₁₆	—	73	1	no	—
226	C₇₃	#19622	1	1	yes	characteristic, complemented, Sylow
227	C₂×#137	—	146	2	no	—
228	#533	—	73	1	no	—
229	#532	—	73	1	no	—
230	C₂×C₄⋊Q₈	C₂×D₇₃	1	1	yes	characteristic
231	C₂×C₄⋊Q₈	C₂×D₇₃	1	1	yes	characteristic
232	#501	—	146	2	no	—
233	#500	—	73	2	no	—
234	#498	—	2	2	no	—
235	#498	—	73	2	no	—
236	#498	—	73	2	no	—
237	#498	—	73	1	no	—
238	#498	C₂×D₇₃	1	2	yes	—
239	#498	C₂×D₇₃	1	2	yes	—
240	#497	—	146	2	no	—
241	#494	—	73	2	no	—
242	#492	—	73	2	no	—
243	#492	—	73	2	no	—
244	#492	—	73	1	no	—
245	#487	—	73	2	no	—
246	#487	—	73	2	no	—
247	#487	—	73	1	no	—
248	#486	—	73	1	no	—
249	#483	—	146	2	no	—
250	#475	—	146	2	no	—
251	#465	—	146	2	no	—
252	#461	—	146	2	no	—
253	#448	—	146	2	no	—
254	C₄×SD₁₆	—	146	2	no	—
255	#431	—	73	1	no	—
256	#428	—	146	2	no	—
257	C₂×#106	—	2	2	no	—
258	C₄×M₁₆	—	73	1	no	—
259	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
260	#322	—	73	2	no	—
261	C₈²	—	73	2	no	—
262	C₂×#41	—	146	1	no	—
263	C₂²×Q₈	—	2	1	no	—
264	C₂²×Q₈	—	2	1	no	—
265	#137	—	292	8	no	—
266	C₂×Q₁₆	—	146	4	no	—
267	C₂×SD₁₆	—	146	4	no	—
268	C₂×SD₁₆	—	146	4	no	—
269	C₂×SD₁₆	—	146	2	no	—
270	C₂×M₁₆	—	73	2	no	—
271	C₂²×C₈	C₂²⋊D₇₃	1	2	yes	—
272	C₄⋊Q₈	—	2	1	no	—
273	C₄⋊Q₈	—	2	1	no	—
274	C₄⋊Q₈	—	2	1	no	—
275	C₄⋊Q₈	—	2	1	no	—
276	C₄⋊Q₈	—	2	1	no	—
277	C₄⋊Q₈	—	2	1	no	—
278	C₄⋊Q₈	—	73	1	no	—
279	C₄⋊Q₈	—	73	1	no	—
280	C₄⋊Q₈	—	73	1	no	—
281	C₄⋊Q₈	C₂²×D₇₃	1	2	yes	—
282	C₄⋊Q₈	C₂²×D₇₃	1	2	yes	—
283	#127	—	73	1	no	—
284	#125	—	146	1	no	—
285	#124	—	146	1	no	—
286	C₂²⋊Q₈	—	146	1	no	—
287	C₂²⋊Q₈	—	146	1	no	—
288	#121	—	146	1	no	—
289	#121	—	146	1	no	—
290	C₄×Q₈	—	146	1	no	—
291	C₄×Q₈	—	146	1	no	—
292	C₄×D₄	—	146	1	no	—
293	C₄×D₄	—	146	1	no	—
294	#117	—	146	1	no	—
295	C₂×C₄⋊C₄	—	2	1	no	—
296	C₂×C₄⋊C₄	—	2	1	no	—
297	C₂×C₄⋊C₄	—	2	1	no	—
298	C₂×C₄⋊C₄	—	2	1	no	—
299	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
300	#107	—	146	4	no	—
301	#106	—	2	4	no	—
302	#106	—	2	4	no	—
303	#106	—	146	4	no	—
304	#106	—	146	4	no	—
305	#106	—	146	2	no	—
306	C₄⋊C₈	—	73	2	no	—
307	#103	—	146	4	no	—
308	#103	—	146	4	no	—
309	#103	—	146	2	no	—
310	#102	—	146	2	no	—
311	C₂²⋊C₈	—	73	2	no	—
312	#97	—	73	2	no	—
313	C₄×C₈	—	73	2	no	—
314	C₄×C₈	—	73	2	no	—
315	C₄×C₈	C₂²⋊D₇₃	1	2	yes	—
316	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
317	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
318	#41	—	292	4	no	—
319	C₂×Q₈	—	2	2	no	—
320	C₂×Q₈	—	2	2	no	—
321	C₂×Q₈	—	4	1	no	—
322	C₂×Q₈	—	4	1	no	—
323	C₂×Q₈	—	4	4	no	—
324	C₂×Q₈	—	8	2	no	—
325	C₂×Q₈	—	146	1	no	—
326	C₂×Q₈	—	146	1	no	—
327	C₂×Q₈	—	146	1	no	—
328	C₂×D₄	—	292	1	no	—
329	C₂×D₄	—	146	1	no	—
330	C₂×D₄	—	146	1	no	—
331	C₂×D₄	—	146	1	no	—
332	C₂²×C₄	—	4	1	no	—
333	C₂²×C₄	—	4	1	no	—
334	C₂²×C₄	—	292	1	no	—
335	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
336	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
337	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
338	Q₁₆	—	292	8	no	—
339	SD₁₆	—	292	8	no	—
340	SD₁₆	—	292	4	no	—
341	SD₁₆	—	584	4	no	—
342	M₁₆	—	73	8	no	—
343	C₂×C₈	—	2	4	no	—
344	C₂×C₈	—	73	4	no	—
345	C₂×C₈	—	73	4	no	—
346	C₂×C₈	C₂×C₂²⋊D₇₃	1	2	yes	—
347	C₂×C₈	C₂×C₂²⋊D₇₃	1	2	yes	—
348	C₄⋊C₄	—	2	2	no	—
349	C₄⋊C₄	—	2	2	no	—
350	C₄⋊C₄	—	2	2	no	—
351	C₄⋊C₄	—	2	2	no	—
352	C₄⋊C₄	—	4	1	no	—
353	C₄⋊C₄	—	4	1	no	—
354	C₄⋊C₄	—	4	1	no	—
355	C₄⋊C₄	—	4	1	no	—
356	C₄⋊C₄	—	292	1	no	—
357	C₄⋊C₄	—	292	1	no	—
358	C₄⋊C₄	—	146	1	no	—
359	C₄⋊C₄	—	146	1	no	—
360	C₄⋊C₄	—	146	1	no	—
361	C₄⋊C₄	—	146	1	no	—
362	C₄⋊C₄	—	146	1	no	—
363	C₄⋊C₄	—	146	1	no	—
364	C₂²⋊C₄	—	292	1	no	—
365	C₂²⋊C₄	—	292	1	no	—
366	C₂²⋊C₄	—	292	1	no	—
367	C₄²	—	292	1	no	—
368	C₄²	D₄×D₇₃	1	1	yes	characteristic
369	C₄²	D₄×D₇₃	1	1	yes	characteristic
370	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
371	C₄²	C₂³×D₇₃	1	1	yes	characteristic
372	C₂³	—	292	1	no	—
373	C₂³	#14556587	1	1	yes	characteristic
374	Q₈	—	4	4	no	—
375	Q₈	—	4	4	no	—
376	Q₈	—	8	2	no	—
377	Q₈	—	8	2	no	—
378	Q₈	—	292	2	no	—
379	Q₈	—	292	2	no	—
380	Q₈	—	292	2	no	—
381	D₄	—	292	2	no	—
382	D₄	—	292	2	no	—
383	D₄	—	292	2	no	—
384	D₄	—	584	2	no	—
385	C₂×C₄	—	2	2	no	—
386	C₂×C₄	—	2	2	no	—
387	C₂×C₄	—	4	2	no	—
388	C₂×C₄	—	4	2	no	—
389	C₂×C₄	—	8	2	no	—
390	C₂×C₄	—	8	2	no	—
391	C₂×C₄	—	292	1	no	—
392	C₂×C₄	—	292	1	no	—
393	C₂×C₄	—	292	1	no	—
394	C₂×C₄	—	584	2	no	—
395	C₂×C₄	#14556587	1	1	yes	characteristic
396	C₂×C₄	#14556587	1	1	yes	characteristic
397	C₂×C₄	#14556587	1	1	yes	characteristic
398	C₂×C₄	SD₁₆×D₇₃	1	4	yes	—
399	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
400	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
401	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
402	C₈	—	2	2	no	—
403	C₈	—	73	8	no	—
404	C₈	—	146	4	no	—
405	C₈	#14556622	1	4	yes	complemented
406	C₂²	—	2	1	no	—
407	C₂²	—	2	1	no	—
408	C₂²	—	584	1	no	—
409	C₂²	—	584	1	no	—
410	C₂²	—	584	1	no	—
411	C₂²	#17988958	1	2	yes	—
412	C₂²	C₂×#14556587	1	1	yes	characteristic
413	C₄	—	2	1	no	—
414	C₄	—	2	1	no	—
415	C₄	—	8	2	no	—
416	C₄	—	8	2	no	—
417	C₄	—	584	1	no	—
418	C₄	—	584	1	no	—
419	C₄	—	584	1	no	—
420	C₄	#17988958	1	2	yes	—
421	C₄	C₂×SD₁₆×D₇₃	1	2	yes	—
422	C₄	C₂×#14556622	1	2	yes	—
423	C₄	#17989393	1	2	yes	—
424	C₂	—	2	2	no	—
425	C₂	—	1168	1	no	—
426	C₂	C₂×#17988958	1	1	yes	characteristic
427	C₂	#22620388	1	1	yes	characteristic
428	C₂	#22620401	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#14556587
commutator, cosocle	C₄²×C₇₃	C₂⁴
Frattini	C₄²	C₂³×D₇₃
Fitting	C₂×#498×C₇₃	C₂
socle	C₂²×C₇₃	C₂×#127
prime radical	#17989137	C₂²
hypercenter	C₂×#498	D₇₃
hypocenter	C₇₃	#19622
LCS	G ▷ C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#498

Complements

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

N	H ≅ G/N	type
1. #22621075	C₂	semidirect
4. #22620473	C₂	semidirect
6. #22609563	C₂	semidirect
7. #22609556	C₂	semidirect
8. #22609526	C₂	semidirect
9. #22609519	C₂	semidirect
10. C₈×#11924012	C₂	semidirect
11. C₂×#498×C₇₃	C₂	semidirect
116. #11924012	SD₁₆	semidirect
188. C₈×C₇₃	#137	semidirect
219. C₂×#498	D₇₃	semidirect
226. C₇₃	#19622	semidirect
405. C₈	#14556622	semidirect

Maximal subgroups

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

subgroup	index
#22621075	2
#22620856	2
#22620490	2
#22620473	2
#22620388	2
#22609563	2
#22609556	2
#22609526	2
#22609519	2
C₈×#11924012	2
C₂×#498×C₇₃	2
#19622	73