Subgroups — #2218×D₇₃ #33240426

Order 18688.

786 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₆×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×M₃₂×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#466×D₇₃	C₂	1	2	yes	maximal, complemented
4	#22612035	C₂	1	1	yes	maximal, characteristic, complemented
5	#22612034	C₂	1	1	yes	maximal, characteristic, complemented
6	#22612033	C₂	1	2	yes	maximal, complemented
7	#22612032	C₂	1	2	yes	maximal, complemented
8	#22612031	C₂	1	1	yes	maximal, characteristic, complemented
9	#367×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
10	#357×D₇₃	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2218	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₈×D₇₃	C₂²	1	2	yes	—
13	C₂²×C₈×D₇₃	C₂²	1	1	yes	characteristic
14	#121×D₇₃	—	2	2	no	—
15	C₂×D₁₁₆₈	C₂²	1	1	yes	characteristic, complemented
16	C₂×#14556532	C₂²	1	2	yes	complemented
17	D₁₆×D₇₃	—	2	4	no	—
18	C₂×#14556531	C₂²	1	1	yes	characteristic, complemented
19	C₂×#14556530	C₂²	1	1	yes	characteristic, complemented
20	C₂×#14556530	C₂²	1	1	yes	characteristic, complemented
21	M₃₂×D₇₃	—	2	4	no	—
22	C₂×C₁₆×D₇₃	C₂²	1	1	yes	characteristic
23	C₂×C₁₆×D₇₃	C₂²	1	1	yes	characteristic
24	#17988824	C₂²	1	2	yes	complemented
25	#17988823	C₂²	1	2	yes	complemented
26	#17988822	—	2	2	no	—
27	#17988821	—	2	2	no	—
28	#17988820	C₂²	1	2	yes	complemented
29	#107×D₇₃	C₂²	1	2	yes	—
30	#102×D₇₃	—	2	2	no	—
31	#17988415	C₂²	1	1	yes	characteristic, complemented
32	#17988414	C₂²	1	2	yes	complemented
33	#17988389	C₂²	1	2	yes	complemented
34	#17988388	C₂²	1	2	yes	complemented
35	#17988387	C₂²	1	2	yes	complemented
36	C₂×D₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×M₃₂×C₇₃	C₂²	1	1	yes	characteristic, complemented
38	#466×C₇₃	C₂²	1	2	yes	complemented
39	#367×C₇₃	C₂²	1	1	yes	characteristic, complemented
40	#357×C₇₃	C₂²	1	2	yes	complemented
41	C₂×D₄×D₇₃	—	2	2	no	—
42	C₂×D₄×D₇₃	—	4	2	no	—
43	C₂²×C₄×D₇₃	D₄	1	1	yes	characteristic
44	C₂×D₅₈₄	C₂³	1	2	yes	—
45	C₂×#11924013	—	2	2	no	—
46	D₈×D₇₃	—	2	4	no	—
47	D₈×D₇₃	—	2	4	no	—
48	C₂²×#10596831	D₄	1	1	yes	characteristic
49	C₂×C₈×D₇₃	—	2	2	no	—
50	C₂×C₈×D₇₃	—	2	2	no	—
51	C₂×C₈×D₇₃	D₄	1	1	yes	characteristic
52	C₂×C₈×D₇₃	D₄	1	1	yes	characteristic
53	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
54	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
55	#14556566	—	2	2	no	—
56	#14556565	—	2	2	no	—
57	#14556564	—	4	2	no	—
58	#14556563	—	4	2	no	—
59	#14556562	—	2	2	no	—
60	C₄⋊C₄×D₇₃	—	2	2	no	—
61	C₂²⋊C₄×D₇₃	—	4	2	no	—
62	D₁₁₆₈	—	2	2	no	—
63	#14556532	—	2	4	no	—
64	#14556531	—	2	2	no	—
65	#14556530	—	2	2	no	—
66	#14556530	—	2	2	no	—
67	C₂×#11924003	C₂³	1	1	yes	characteristic
68	C₂×#11924003	C₂³	1	1	yes	characteristic
69	C₁₆×D₇₃	—	2	2	no	—
70	C₁₆×D₇₃	D₄	1	4	yes	complemented
71	#14556525	C₂³	1	2	yes	—
72	#14556524	—	2	2	no	—
73	#14556513	—	2	2	no	—
74	#14556512	—	2	2	no	—
75	#14556511	—	2	2	no	—
76	C₂×D₈×C₇₃	C₂³	1	2	yes	—
77	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
78	#121×C₇₃	—	2	2	no	—
79	D₁₆×C₇₃	—	2	2	no	—
80	M₃₂×C₇₃	—	2	2	no	—
81	C₂×C₁₆×C₇₃	C₂³	1	1	yes	characteristic
82	C₂×C₁₆×C₇₃	C₂³	1	1	yes	characteristic
83	#107×C₇₃	C₂³	1	2	yes	—
84	#102×C₇₃	—	2	2	no	—
85	C₂³×D₇₃	—	4	2	no	—
86	C₂³×D₇₃	D₈	1	1	yes	characteristic
87	C₂×D₂₉₂	—	2	2	no	—
88	C₂×D₂₉₂	—	4	2	no	—
89	C₂×C₂²⋊D₇₃	—	4	2	no	—
90	C₂×C₂²⋊D₇₃	—	4	2	no	—
91	C₂×C₂²⋊D₇₃	—	4	2	no	—
92	D₄×D₇₃	—	4	4	no	—
93	D₄×D₇₃	—	4	4	no	—
94	D₄×D₇₃	—	8	8	no	—
95	C₂²×Dic₇₃	D₈	1	1	yes	characteristic
96	C₂×C₄×D₇₃	—	2	2	no	—
97	C₂×C₄×D₇₃	—	2	2	no	—
98	C₂×C₄×D₇₃	—	4	2	no	—
99	C₂×C₄×D₇₃	D₈	1	1	yes	characteristic
100	C₂×C₄×D₇₃	D₈	1	1	yes	characteristic
101	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
102	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
103	D₅₈₄	—	2	2	no	—
104	D₅₈₄	—	2	2	no	—
105	#11924013	—	4	4	no	—
106	C₂×#10596831	—	2	2	no	—
107	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
108	C₂×#10596831	C₂×D₄	1	1	yes	characteristic
109	C₈×D₇₃	—	2	2	no	—
110	C₈×D₇₃	—	2	1	no	—
111	C₈×D₇₃	—	2	1	no	—
112	C₈×D₇₃	—	2	2	no	—
113	C₈×D₇₃	C₂×D₄	1	2	yes	—
114	C₈×D₇₃	#41	1	2	yes	—
115	C₄⋊Dic₇₃	—	2	2	no	—
116	#11924007	—	4	2	no	—
117	C₂²⋊Dic₇₃	—	4	2	no	—
118	#11924005	—	4	2	no	—
119	#11924005	—	4	2	no	—
120	#11924003	—	2	1	no	—
121	#11924003	C₂×D₄	1	2	yes	complemented
122	C₂×D₄×C₇₃	—	2	2	no	—
123	C₂×D₄×C₇₃	—	4	2	no	—
124	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
125	D₈×C₇₃	—	2	2	no	—
126	D₈×C₇₃	—	2	2	no	—
127	C₂×C₈×C₇₃	—	2	1	no	—
128	C₂×C₈×C₇₃	—	2	1	no	—
129	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
130	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
131	C₄⋊C₄×C₇₃	—	2	2	no	—
132	C₂²⋊C₄×C₇₃	—	4	2	no	—
133	C₁₆×C₇₃	—	2	1	no	—
134	C₁₆×C₇₃	C₂×D₄	1	2	yes	complemented
135	C₂³×C₇₃	—	4	2	no	—
136	C₂³×C₇₃	C₂×D₈	1	1	yes	characteristic
137	C₂²×D₇₃	—	2	2	no	—
138	C₂²×D₇₃	—	2	4	no	—
139	C₂²×D₇₃	—	4	2	no	—
140	C₂²×D₇₃	—	8	4	no	—
141	C₂²×D₇₃	—	8	4	no	—
142	C₂²×D₇₃	—	8	4	no	—
143	C₂²×D₇₃	C₂×D₈	1	1	yes	characteristic
144	C₂²×D₇₃	C₂×D₈	1	1	yes	characteristic
145	D₄×C₇₃	—	4	2	no	—
146	D₄×C₇₃	—	4	2	no	—
147	D₄×C₇₃	—	8	4	no	—
148	C₂×C₄×C₇₃	—	2	1	no	—
149	C₂×C₄×C₇₃	—	2	1	no	—
150	C₂×C₄×C₇₃	—	4	2	no	—
151	C₂×C₄×C₇₃	C₂×D₈	1	1	yes	characteristic
152	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
153	C₂²⋊D₇₃	—	8	4	no	—
154	C₂²⋊D₇₃	—	8	4	no	—
155	C₂²⋊D₇₃	—	8	4	no	—
156	C₂×Dic₇₃	—	2	2	no	—
157	C₂×Dic₇₃	—	4	2	no	—
158	C₂×Dic₇₃	C₂×D₈	1	1	yes	characteristic
159	C₂×Dic₇₃	C₂×D₈	1	1	yes	characteristic
160	D₂₉₂	—	4	2	no	—
161	D₂₉₂	—	4	2	no	—
162	D₂₉₂	—	8	4	no	—
163	C₄×D₇₃	—	2	2	no	—
164	C₄×D₇₃	—	2	1	no	—
165	C₄×D₇₃	—	2	1	no	—
166	C₄×D₇₃	—	2	2	no	—
167	C₄×D₇₃	—	8	4	no	—
168	C₄×D₇₃	#121	1	2	yes	—
169	C₄×D₇₃	#135	1	2	yes	—
170	C₈×C₇₃	—	2	1	no	—
171	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
172	C₈×C₇₃	C₂×#41	1	1	yes	characteristic
173	#10596831	—	2	1	no	—
174	#10596831	#121	1	2	yes	—
175	C₂²×C₇₃	—	2	2	no	—
176	C₂²×C₇₃	—	2	1	no	—
177	C₂²×C₇₃	—	8	2	no	—
178	C₂²×C₇₃	—	8	2	no	—
179	C₂²×C₇₃	—	8	2	no	—
180	C₂²×C₇₃	C₂²×D₈	1	1	yes	characteristic
181	C₂×D₇₃	—	2	2	no	—
182	C₂×D₇₃	—	2	1	no	—
183	C₂×D₇₃	—	4	4	no	—
184	C₂×D₇₃	—	8	2	no	—
185	C₂×D₇₃	—	8	2	no	—
186	C₂×D₇₃	—	8	2	no	—
187	C₂×D₇₃	—	16	8	no	—
188	C₂×D₇₃	#466	1	2	yes	—
189	C₂×D₇₃	#509	1	4	yes	—
190	C₄×C₇₃	—	2	1	no	—
191	C₄×C₇₃	—	8	2	no	—
192	C₄×C₇₃	C₂×#121	1	1	yes	characteristic
193	C₄×C₇₃	C₂×#135	1	1	yes	characteristic
194	Dic₇₃	—	2	1	no	—
195	Dic₇₃	—	8	2	no	—
196	Dic₇₃	#466	1	2	yes	—
197	C₂×#2218	—	73	1	no	maximal, Sylow
198	C₂×C₇₃	—	4	1	no	—
199	C₂×C₇₃	—	16	2	no	—
200	C₂×C₇₃	C₂×#466	1	1	yes	characteristic
201	C₂×C₇₃	C₂×#509	1	2	yes	—
202	D₇₃	—	4	1	no	—
203	D₇₃	—	16	2	no	—
204	D₇₃	#2218	1	4	yes	direct product factor
205	C₂²×D₁₆	—	73	1	no	—
206	C₂²×M₃₂	—	73	1	no	—
207	C₂×#466	—	73	2	no	—
208	#2218	—	73	1	no	—
209	#2218	—	73	1	no	—
210	#2218	—	73	2	no	—
211	#2218	—	73	1	no	—
212	#2218	—	73	2	no	—
213	#2218	D₇₃	1	1	yes	characteristic, direct product factor
214	C₂×#367	—	73	1	no	—
215	C₂×#357	—	73	2	no	—
216	C₇₃	C₂×#2218	1	1	yes	characteristic, complemented, Sylow
217	C₂²×D₈	—	73	2	no	—
218	C₂³×C₈	—	73	1	no	—
219	C₂×#121	—	146	2	no	—
220	C₂×D₁₆	—	73	2	no	—
221	C₂×D₁₆	—	73	1	no	—
222	C₂×D₁₆	—	146	4	no	—
223	C₂×D₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
224	C₂×M₃₂	—	73	1	no	—
225	C₂×M₃₂	—	73	1	no	—
226	C₂×M₃₂	—	73	1	no	—
227	C₂×M₃₂	—	146	4	no	—
228	C₂×M₃₂	C₂×D₇₃	1	1	yes	characteristic, complemented
229	C₂²×C₁₆	—	73	1	no	—
230	C₂²×C₁₆	—	73	1	no	—
231	#466	—	73	2	no	—
232	#466	—	73	2	no	—
233	#466	—	73	2	no	—
234	#466	—	146	2	no	—
235	#466	—	146	2	no	—
236	#466	C₂×D₇₃	1	2	yes	complemented
237	C₂×#107	—	73	2	no	—
238	C₂×#102	—	146	2	no	—
239	#367	—	73	1	no	—
240	#367	—	73	2	no	—
241	#367	C₂×D₇₃	1	1	yes	characteristic, complemented
242	#357	—	73	2	no	—
243	#357	—	73	2	no	—
244	#357	—	73	2	no	—
245	#357	C₂×D₇₃	1	2	yes	complemented
246	C₂²×D₄	—	292	2	no	—
247	C₂²×D₄	—	146	2	no	—
248	C₂³×C₄	—	73	1	no	—
249	C₂×D₈	—	73	2	no	—
250	C₂×D₈	—	146	4	no	—
251	C₂×D₈	—	146	4	no	—
252	C₂×D₈	—	146	2	no	—
253	C₂×D₈	C₂²×D₇₃	1	2	yes	—
254	C₂²×C₈	—	73	1	no	—
255	C₂²×C₈	—	73	1	no	—
256	C₂²×C₈	—	73	1	no	—
257	C₂²×C₈	—	73	1	no	—
258	C₂²×C₈	—	73	1	no	—
259	C₂²×C₈	—	146	2	no	—
260	C₂²×C₈	—	146	2	no	—
261	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
262	#121	—	2	2	no	—
263	#121	—	292	2	no	—
264	#121	—	292	2	no	—
265	#121	—	146	2	no	—
266	#121	—	146	2	no	—
267	#121	—	146	2	no	—
268	C₂×C₄⋊C₄	—	146	2	no	—
269	C₂×C₂²⋊C₄	—	292	2	no	—
270	D₁₆	—	2	2	no	—
271	D₁₆	—	146	4	no	—
272	D₁₆	—	146	2	no	—
273	M₃₂	—	2	2	no	—
274	M₃₂	—	146	2	no	—
275	M₃₂	—	146	2	no	—
276	M₃₂	—	146	2	no	—
277	C₂×C₁₆	—	73	1	no	—
278	C₂×C₁₆	—	73	4	no	—
279	C₂×C₁₆	—	73	1	no	—
280	C₂×C₁₆	—	146	2	no	—
281	C₂×C₁₆	C₂²×D₇₃	1	1	yes	characteristic
282	C₂×C₁₆	C₂²×D₇₃	1	1	yes	characteristic
283	#107	—	73	2	no	—
284	#107	—	146	2	no	—
285	#107	C₂²×D₇₃	1	2	yes	—
286	#102	—	2	2	no	—
287	#102	—	146	2	no	—
288	#102	—	146	2	no	—
289	#102	—	146	2	no	—
290	C₂⁴	—	292	2	no	—
291	C₂⁴	—	73	1	no	—
292	C₂×D₄	—	2	2	no	—
293	C₂×D₄	—	4	2	no	—
294	C₂×D₄	—	292	2	no	—
295	C₂×D₄	—	292	2	no	—
296	C₂×D₄	—	292	2	no	—
297	C₂×D₄	—	292	4	no	—
298	C₂×D₄	—	292	4	no	—
299	C₂×D₄	—	292	2	no	—
300	C₂×D₄	—	584	8	no	—
301	C₂×D₄	—	146	2	no	—
302	C₂²×C₄	—	292	2	no	—
303	C₂²×C₄	—	73	1	no	—
304	C₂²×C₄	—	73	1	no	—
305	C₂²×C₄	—	73	1	no	—
306	C₂²×C₄	—	73	1	no	—
307	C₂²×C₄	—	73	1	no	—
308	C₂²×C₄	—	146	2	no	—
309	C₂²×C₄	—	146	2	no	—
310	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
311	D₈	—	2	2	no	—
312	D₈	—	2	2	no	—
313	D₈	—	292	4	no	—
314	D₈	—	146	2	no	—
315	D₈	—	146	2	no	—
316	C₂×C₈	—	2	1	no	—
317	C₂×C₈	—	2	1	no	—
318	C₂×C₈	—	73	1	no	—
319	C₂×C₈	—	73	2	no	—
320	C₂×C₈	—	73	2	no	—
321	C₂×C₈	—	73	1	no	—
322	C₂×C₈	—	146	2	no	—
323	C₂×C₈	—	146	2	no	—
324	C₂×C₈	—	146	2	no	—
325	C₂×C₈	—	146	1	no	—
326	C₂×C₈	—	146	1	no	—
327	C₂×C₈	D₄×D₇₃	1	1	yes	characteristic
328	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
329	C₄⋊C₄	—	2	2	no	—
330	C₄⋊C₄	—	292	2	no	—
331	C₄⋊C₄	—	146	2	no	—
332	C₂²⋊C₄	—	4	2	no	—
333	C₂²⋊C₄	—	292	2	no	—
334	C₂²⋊C₄	—	292	2	no	—
335	C₂²⋊C₄	—	292	2	no	—
336	C₁₆	—	2	1	no	—
337	C₁₆	—	73	2	no	—
338	C₁₆	—	146	1	no	—
339	C₁₆	D₄×D₇₃	1	2	yes	complemented
340	C₂³	—	4	2	no	—
341	C₂³	—	292	2	no	—
342	C₂³	—	584	4	no	—
343	C₂³	—	584	4	no	—
344	C₂³	—	584	4	no	—
345	C₂³	—	73	1	no	—
346	C₂³	—	73	1	no	—
347	C₂³	—	146	2	no	—
348	C₂³	—	146	4	no	—
349	C₂³	D₈×D₇₃	1	1	yes	characteristic
350	D₄	—	4	2	no	—
351	D₄	—	4	2	no	—
352	D₄	—	8	4	no	—
353	D₄	—	292	2	no	—
354	D₄	—	292	2	no	—
355	D₄	—	584	4	no	—
356	D₄	—	584	4	no	—
357	D₄	—	584	4	no	—
358	D₄	—	584	4	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	2	1	no	—
361	C₂×C₄	—	4	2	no	—
362	C₂×C₄	—	292	2	no	—
363	C₂×C₄	—	584	4	no	—
364	C₂×C₄	—	73	1	no	—
365	C₂×C₄	—	73	2	no	—
366	C₂×C₄	—	73	2	no	—
367	C₂×C₄	—	73	1	no	—
368	C₂×C₄	—	146	2	no	—
369	C₂×C₄	—	146	2	no	—
370	C₂×C₄	—	146	2	no	—
371	C₂×C₄	—	146	1	no	—
372	C₂×C₄	—	146	1	no	—
373	C₂×C₄	D₈×D₇₃	1	1	yes	characteristic
374	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
375	C₈	—	2	1	no	—
376	C₈	—	73	2	no	—
377	C₈	—	146	1	no	—
378	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
379	C₈	#41×D₇₃	1	1	yes	characteristic
380	C₂²	—	2	2	no	—
381	C₂²	—	2	1	no	—
382	C₂²	—	8	2	no	—
383	C₂²	—	8	2	no	—
384	C₂²	—	8	2	no	—
385	C₂²	—	292	4	no	—
386	C₂²	—	584	2	no	—
387	C₂²	—	584	2	no	—
388	C₂²	—	584	2	no	—
389	C₂²	—	73	4	no	—
390	C₂²	—	73	2	no	—
391	C₂²	—	1168	8	no	—
392	C₂²	—	146	2	no	—
393	C₂²	—	146	1	no	—
394	C₂²	C₂×D₈×D₇₃	1	1	yes	characteristic
395	C₄	—	2	1	no	—
396	C₄	—	8	2	no	—
397	C₄	—	584	2	no	—
398	C₄	—	73	2	no	—
399	C₄	—	146	1	no	—
400	C₄	#121×D₇₃	1	1	yes	characteristic
401	C₄	#135×D₇₃	1	1	yes	characteristic
402	C₂	—	4	1	no	—
403	C₂	—	16	2	no	—
404	C₂	—	292	1	no	—
405	C₂	—	73	4	no	—
406	C₂	—	1168	2	no	—
407	C₂	#466×D₇₃	1	1	yes	characteristic
408	C₂	#509×D₇₃	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂×D₈×D₇₃
commutator, cosocle	C₂×C₈×C₇₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₇₃
Fitting	C₇₃×#2218	C₂
socle	C₂²×C₇₃	C₂²×D₈
hypercenter	#2218	D₇₃
hypocenter	C₇₃	C₂×#2218
LCS	G ▷ C₂×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ #2218

Complements

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

N	H ≅ G/N	type
1. C₂×D₁₆×D₇₃	C₂	semidirect
2. C₂×M₃₂×D₇₃	C₂	semidirect
3. #466×D₇₃	C₂	semidirect
4. #22612035	C₂	semidirect
5. #22612034	C₂	semidirect
6. #22612033	C₂	semidirect
7. #22612032	C₂	semidirect
8. #22612031	C₂	semidirect
9. #367×D₇₃	C₂	semidirect
10. #357×D₇₃	C₂	semidirect
11. C₇₃×#2218	C₂	semidirect
15. C₂×D₁₁₆₈	C₂²	semidirect
16. C₂×#14556532	C₂²	semidirect
18. C₂×#14556531	C₂²	semidirect
19. C₂×#14556530	C₂²	semidirect
20. C₂×#14556530	C₂²	semidirect
24. #17988824	C₂²	semidirect
25. #17988823	C₂²	semidirect
28. #17988820	C₂²	semidirect
31. #17988415	C₂²	semidirect
32. #17988414	C₂²	semidirect
33. #17988389	C₂²	semidirect
34. #17988388	C₂²	semidirect
35. #17988387	C₂²	semidirect
36. C₂×D₁₆×C₇₃	C₂²	semidirect
37. C₂×M₃₂×C₇₃	C₂²	semidirect
38. #466×C₇₃	C₂²	semidirect
39. #367×C₇₃	C₂²	semidirect
40. #357×C₇₃	C₂²	semidirect
70. C₁₆×D₇₃	D₄	semidirect
121. #11924003	C₂×D₄	semidirect
134. C₁₆×C₇₃	C₂×D₄	semidirect
204. D₇₃	#2218	direct (N × H)
213. #2218	D₇₃	direct (N × H)
216. C₇₃	C₂×#2218	semidirect
223. C₂×D₁₆	C₂×D₇₃	semidirect
228. C₂×M₃₂	C₂×D₇₃	semidirect
236. #466	C₂×D₇₃	semidirect
241. #367	C₂×D₇₃	semidirect
245. #357	C₂×D₇₃	semidirect
339. C₁₆	D₄×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₆×D₇₃	2
C₂×M₃₂×D₇₃	2
#466×D₇₃	2
#22612035	2
#22612034	2
#22612033	2
#22612032	2
#22612031	2
#367×D₇₃	2
#357×D₇₃	2
C₇₃×#2218	2
C₂×#2218	73

Subgroups — #2218×D73 #33240426

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2218×D₇₃ #33240426