Subgroups — C₇₃×#25606 #32935010

Order 18688.

1180 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#540×C₇₃	C₂	1	1	yes	maximal, characteristic
2	C₂×#492×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#491×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#2621	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#2000	C₂	1	4	yes	maximal, complemented
6	C₇₃×#1991	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#1961	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#1877	C₂	1	4	yes	maximal, complemented
9	C₇₃×#1750	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×SD₁₆×C₇₃	C₂²	1	4	yes	—
11	#540×C₇₃	—	2	4	no	—
12	#540×C₇₃	—	2	4	no	—
13	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
14	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic
15	C₂×#125×C₇₃	C₂²	1	1	yes	characteristic
16	C₂×#123×C₇₃	—	2	2	no	—
17	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
18	C₂×#121×C₇₃	—	2	2	no	—
19	C₂×#121×C₇₃	C₂²	1	2	yes	—
20	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
21	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
22	#492×C₇₃	—	2	4	no	—
23	#491×C₇₃	—	2	4	no	—
24	C₂×#103×C₇₃	C₂²	1	4	yes	—
25	C₂×#102×C₇₃	C₂²	1	4	yes	—
26	C₂×C₂²⋊C₈×C₇₃	C₂²	1	2	yes	—
27	C₂×#97×C₇₃	C₂²	1	1	yes	characteristic
28	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
29	#398×C₇₃	—	2	2	no	—
30	#397×C₇₃	—	2	2	no	—
31	#391×C₇₃	C₂²	1	2	yes	—
32	#382×C₇₃	C₂²	1	1	yes	characteristic
33	#340×C₇₃	C₂²	1	4	yes	—
34	#336×C₇₃	C₂²	1	2	yes	—
35	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
36	C₂²×D₄×C₇₃	—	2	2	no	—
37	C₂²×D₄×C₇₃	—	2	2	no	—
38	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
39	C₂³×C₄×C₇₃	—	2	2	no	—
40	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
41	C₂×SD₁₆×C₇₃	—	2	8	no	—
42	C₂×SD₁₆×C₇₃	—	2	8	no	—
43	C₂×SD₁₆×C₇₃	—	4	4	no	—
44	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
45	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
46	C₄⋊Q₈×C₇₃	—	2	2	no	—
47	C₄⋊Q₈×C₇₃	—	2	2	no	—
48	#127×C₇₃	—	2	2	no	—
49	#127×C₇₃	D₄	1	4	yes	—
50	#125×C₇₃	—	2	2	no	—
51	#125×C₇₃	D₄	1	4	yes	—
52	#123×C₇₃	—	2	16	no	—
53	C₂²⋊Q₈×C₇₃	—	4	4	no	—
54	#121×C₇₃	—	2	16	no	—
55	#121×C₇₃	—	2	4	no	—
56	#121×C₇₃	—	2	4	no	—
57	C₄×D₄×C₇₃	—	2	4	no	—
58	C₄×D₄×C₇₃	—	2	4	no	—
59	#117×C₇₃	—	2	2	no	—
60	#117×C₇₃	—	2	2	no	—
61	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
62	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
63	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
64	C₂×C₄⋊C₄×C₇₃	D₄	1	2	yes	—
65	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
66	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
67	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
68	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
69	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
70	C₂×C₂²⋊C₄×C₇₃	D₄	1	2	yes	—
71	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
72	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
73	#103×C₇₃	—	2	8	no	—
74	#102×C₇₃	—	4	4	no	—
75	C₂²⋊C₈×C₇₃	—	2	4	no	—
76	#97×C₇₃	—	2	2	no	—
77	C₄×C₈×C₇₃	—	2	2	no	—
78	#95×C₇₃	—	2	2	no	—
79	#95×C₇₃	—	2	4	no	—
80	C₂⁴×C₇₃	—	2	2	no	—
81	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
82	C₂×Q₈×C₇₃	—	2	2	no	—
83	C₂×Q₈×C₇₃	—	2	2	no	—
84	C₂×Q₈×C₇₃	—	2	4	no	—
85	C₂×Q₈×C₇₃	—	2	4	no	—
86	C₂×D₄×C₇₃	—	2	8	no	—
87	C₂×D₄×C₇₃	—	2	8	no	—
88	C₂×D₄×C₇₃	—	2	2	no	—
89	C₂×D₄×C₇₃	—	2	4	no	—
90	C₂×D₄×C₇₃	—	2	4	no	—
91	C₂×D₄×C₇₃	—	8	4	no	—
92	C₂×D₄×C₇₃	—	8	4	no	—
93	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	—
94	C₂²×C₄×C₇₃	—	2	2	no	—
95	C₂²×C₄×C₇₃	—	2	8	no	—
96	C₂²×C₄×C₇₃	—	2	1	no	—
97	C₂²×C₄×C₇₃	—	2	1	no	—
98	C₂²×C₄×C₇₃	—	2	2	no	—
99	C₂²×C₄×C₇₃	—	2	2	no	—
100	C₂²×C₄×C₇₃	—	2	2	no	—
101	C₂²×C₄×C₇₃	—	2	2	no	—
102	C₂²×C₄×C₇₃	—	8	4	no	—
103	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
104	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
106	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
107	SD₁₆×C₇₃	—	4	16	no	—
108	C₂×C₈×C₇₃	—	2	2	no	—
109	C₂×C₈×C₇₃	—	2	2	no	—
110	C₂×C₈×C₇₃	—	2	2	no	—
111	C₂×C₈×C₇₃	—	2	2	no	—
112	C₂×C₈×C₇₃	—	2	2	no	—
113	C₂×C₈×C₇₃	#41	1	4	yes	—
114	C₄⋊C₄×C₇₃	—	2	8	no	—
115	C₄⋊C₄×C₇₃	—	2	4	no	—
116	C₄⋊C₄×C₇₃	—	2	2	no	—
117	C₄⋊C₄×C₇₃	—	2	4	no	—
118	C₄⋊C₄×C₇₃	—	4	4	no	—
119	C₄⋊C₄×C₇₃	—	4	4	no	—
120	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
121	C₂²⋊C₄×C₇₃	—	2	8	no	—
122	C₂²⋊C₄×C₇₃	—	2	8	no	—
123	C₂²⋊C₄×C₇₃	—	2	4	no	—
124	C₂²⋊C₄×C₇₃	—	4	4	no	—
125	C₄²×C₇₃	—	2	1	no	—
126	C₄²×C₇₃	—	2	1	no	—
127	C₄²×C₇₃	C₂×D₄	1	2	yes	—
128	C₄²×C₇₃	C₂×D₄	1	2	yes	—
129	C₂³×C₇₃	—	2	1	no	—
130	C₂³×C₇₃	—	2	4	no	—
131	C₂³×C₇₃	—	2	1	no	—
132	C₂³×C₇₃	—	2	1	no	—
133	C₂³×C₇₃	—	2	4	no	—
134	C₂³×C₇₃	—	4	2	no	—
135	C₂³×C₇₃	—	4	2	no	—
136	C₂³×C₇₃	—	4	4	no	—
137	C₂³×C₇₃	—	4	4	no	—
138	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
139	Q₈×C₇₃	—	4	4	no	—
140	Q₈×C₇₃	—	4	4	no	—
141	D₄×C₇₃	—	2	8	no	—
142	D₄×C₇₃	—	4	4	no	—
143	D₄×C₇₃	—	8	8	no	—
144	D₄×C₇₃	—	8	8	no	—
145	C₂×C₄×C₇₃	—	2	4	no	—
146	C₂×C₄×C₇₃	—	2	2	no	—
147	C₂×C₄×C₇₃	—	2	1	no	—
148	C₂×C₄×C₇₃	—	2	4	no	—
149	C₂×C₄×C₇₃	—	2	1	no	—
150	C₂×C₄×C₇₃	—	2	1	no	—
151	C₂×C₄×C₇₃	—	2	4	no	—
152	C₂×C₄×C₇₃	—	4	4	no	—
153	C₂×C₄×C₇₃	—	4	2	no	—
154	C₂×C₄×C₇₃	—	4	2	no	—
155	C₂×C₄×C₇₃	—	4	2	no	—
156	C₂×C₄×C₇₃	—	4	2	no	—
157	C₂×C₄×C₇₃	—	4	2	no	—
158	C₂×C₄×C₇₃	—	4	2	no	—
159	C₂×C₄×C₇₃	—	4	4	no	—
160	C₂×C₄×C₇₃	—	8	8	no	—
161	C₂×C₄×C₇₃	#120	1	4	yes	—
162	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
165	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
166	C₈×C₇₃	—	2	4	no	—
167	C₈×C₇₃	—	4	2	no	—
168	C₂²×C₇₃	—	4	2	no	—
169	C₂²×C₇₃	—	4	1	no	—
170	C₂²×C₇₃	—	4	4	no	—
171	C₂²×C₇₃	—	4	2	no	—
172	C₂²×C₇₃	—	4	4	no	—
173	C₂²×C₇₃	—	4	2	no	—
174	C₂²×C₇₃	—	4	4	no	—
175	C₂²×C₇₃	—	8	4	no	—
176	C₂²×C₇₃	—	8	4	no	—
177	C₂²×C₇₃	C₂×#120	1	1	yes	characteristic
178	C₂²×C₇₃	#532	1	1	yes	characteristic
179	C₂²×C₇₃	#535	1	1	yes	characteristic
180	C₂²×C₇₃	#577	1	4	yes	—
181	C₄×C₇₃	—	2	4	no	—
182	C₄×C₇₃	—	4	1	no	—
183	C₄×C₇₃	—	4	2	no	—
184	C₄×C₇₃	—	4	4	no	—
185	C₄×C₇₃	—	8	2	no	—
186	C₄×C₇₃	—	8	2	no	—
187	C₄×C₇₃	#546	1	2	yes	—
188	C₄×C₇₃	#550	1	2	yes	—
189	#25606	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
190	C₂×C₇₃	—	8	1	no	—
191	C₂×C₇₃	—	8	4	no	—
192	C₂×C₇₃	#2431	1	1	yes	characteristic
193	C₂×C₇₃	#3009	1	2	yes	—
194	C₂×C₇₃	#3174	1	2	yes	—
195	C₂×C₇₃	#3221	1	2	yes	—
196	C₂×#540	C₂×C₇₃	1	1	yes	characteristic
197	C₂×#492	C₂×C₇₃	1	1	yes	characteristic, complemented
198	C₂×#491	C₂×C₇₃	1	1	yes	characteristic, complemented
199	#2621	C₂×C₇₃	1	1	yes	characteristic, complemented
200	#2000	C₂×C₇₃	1	4	yes	complemented
201	#1991	C₂×C₇₃	1	1	yes	characteristic, complemented
202	#1961	C₂×C₇₃	1	1	yes	characteristic, complemented
203	#1877	C₂×C₇₃	1	4	yes	complemented
204	#1750	C₂×C₇₃	1	1	yes	characteristic, complemented
205	C₇₃	#25606	1	1	yes	characteristic, direct product factor, Sylow
206	C₂²×SD₁₆	C₂²×C₇₃	1	4	yes	—
207	#540	—	2	4	no	—
208	#540	—	2	4	no	—
209	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
210	C₂×#127	C₂²×C₇₃	1	1	yes	characteristic
211	C₂×#125	C₂²×C₇₃	1	1	yes	characteristic
212	C₂×#123	—	2	2	no	—
213	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
214	C₂×#121	—	2	2	no	—
215	C₂×#121	C₂²×C₇₃	1	2	yes	—
216	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
217	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic
218	#492	—	2	4	no	—
219	#491	—	2	4	no	—
220	C₂×#103	C₂²×C₇₃	1	4	yes	—
221	C₂×#102	C₂²×C₇₃	1	4	yes	—
222	C₂×C₂²⋊C₈	C₂²×C₇₃	1	2	yes	—
223	C₂×#97	C₂²×C₇₃	1	1	yes	characteristic
224	C₂×C₄×C₈	C₂²×C₇₃	1	1	yes	characteristic
225	#398	—	2	2	no	—
226	#397	—	2	2	no	—
227	#391	C₂²×C₇₃	1	2	yes	—
228	#382	C₂²×C₇₃	1	1	yes	characteristic
229	#340	C₂²×C₇₃	1	4	yes	—
230	#336	C₂²×C₇₃	1	2	yes	—
231	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
232	C₂²×D₄	—	2	2	no	—
233	C₂²×D₄	—	2	2	no	—
234	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
235	C₂³×C₄	—	2	2	no	—
236	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
237	C₂×SD₁₆	—	2	8	no	—
238	C₂×SD₁₆	—	2	8	no	—
239	C₂×SD₁₆	—	4	4	no	—
240	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
241	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
242	C₄⋊Q₈	—	2	2	no	—
243	C₄⋊Q₈	—	2	2	no	—
244	#127	—	2	2	no	—
245	#127	D₄×C₇₃	1	4	yes	—
246	#125	—	2	2	no	—
247	#125	D₄×C₇₃	1	4	yes	—
248	#123	—	2	16	no	—
249	C₂²⋊Q₈	—	4	4	no	—
250	#121	—	2	16	no	—
251	#121	—	2	4	no	—
252	#121	—	2	4	no	—
253	C₄×D₄	—	2	4	no	—
254	C₄×D₄	—	2	4	no	—
255	#117	—	2	2	no	—
256	#117	—	2	2	no	—
257	C₂×C₄⋊C₄	—	2	2	no	—
258	C₂×C₄⋊C₄	—	2	2	no	—
259	C₂×C₄⋊C₄	—	2	2	no	—
260	C₂×C₄⋊C₄	D₄×C₇₃	1	2	yes	—
261	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
262	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
263	C₂×C₂²⋊C₄	—	2	2	no	—
264	C₂×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₂²⋊C₄	D₄×C₇₃	1	2	yes	—
267	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
268	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
269	#103	—	2	8	no	—
270	#102	—	4	4	no	—
271	C₂²⋊C₈	—	2	4	no	—
272	#97	—	2	2	no	—
273	C₄×C₈	—	2	2	no	—
274	#95	—	2	2	no	—
275	#95	—	2	4	no	—
276	C₂⁴	—	2	2	no	—
277	C₂⁴	C₂×D₄×C₇₃	1	1	yes	characteristic
278	C₂×Q₈	—	2	2	no	—
279	C₂×Q₈	—	2	2	no	—
280	C₂×Q₈	—	2	4	no	—
281	C₂×Q₈	—	2	4	no	—
282	C₂×D₄	—	2	8	no	—
283	C₂×D₄	—	2	8	no	—
284	C₂×D₄	—	2	2	no	—
285	C₂×D₄	—	2	4	no	—
286	C₂×D₄	—	2	4	no	—
287	C₂×D₄	—	8	4	no	—
288	C₂×D₄	—	8	4	no	—
289	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	—
290	C₂²×C₄	—	2	2	no	—
291	C₂²×C₄	—	2	8	no	—
292	C₂²×C₄	—	2	1	no	—
293	C₂²×C₄	—	2	1	no	—
294	C₂²×C₄	—	2	2	no	—
295	C₂²×C₄	—	2	2	no	—
296	C₂²×C₄	—	2	2	no	—
297	C₂²×C₄	—	2	2	no	—
298	C₂²×C₄	—	8	4	no	—
299	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
300	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
301	C₂²×C₄	C₂×D₄×C₇₃	1	2	yes	—
302	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
303	SD₁₆	—	4	16	no	—
304	C₂×C₈	—	2	2	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	#41×C₇₃	1	4	yes	—
310	C₄⋊C₄	—	2	8	no	—
311	C₄⋊C₄	—	2	4	no	—
312	C₄⋊C₄	—	2	2	no	—
313	C₄⋊C₄	—	2	4	no	—
314	C₄⋊C₄	—	4	4	no	—
315	C₄⋊C₄	—	4	4	no	—
316	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
317	C₂²⋊C₄	—	2	8	no	—
318	C₂²⋊C₄	—	2	8	no	—
319	C₂²⋊C₄	—	2	4	no	—
320	C₂²⋊C₄	—	4	4	no	—
321	C₄²	—	2	1	no	—
322	C₄²	—	2	1	no	—
323	C₄²	C₂×D₄×C₇₃	1	2	yes	—
324	C₄²	C₂×D₄×C₇₃	1	2	yes	—
325	C₂³	—	2	1	no	—
326	C₂³	—	2	4	no	—
327	C₂³	—	2	1	no	—
328	C₂³	—	2	1	no	—
329	C₂³	—	2	4	no	—
330	C₂³	—	4	2	no	—
331	C₂³	—	4	2	no	—
332	C₂³	—	4	4	no	—
333	C₂³	—	4	4	no	—
334	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
335	Q₈	—	4	4	no	—
336	Q₈	—	4	4	no	—
337	D₄	—	2	8	no	—
338	D₄	—	4	4	no	—
339	D₄	—	8	8	no	—
340	D₄	—	8	8	no	—
341	C₂×C₄	—	2	4	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	4	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	4	no	—
348	C₂×C₄	—	4	4	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	4	4	no	—
356	C₂×C₄	—	8	8	no	—
357	C₂×C₄	#120×C₇₃	1	4	yes	—
358	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
359	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
360	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
361	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
362	C₈	—	2	4	no	—
363	C₈	—	4	2	no	—
364	C₂²	—	4	2	no	—
365	C₂²	—	4	4	no	—
366	C₂²	—	4	2	no	—
367	C₂²	—	4	4	no	—
368	C₂²	—	4	2	no	—
369	C₂²	—	4	1	no	—
370	C₂²	—	4	4	no	—
371	C₂²	—	8	4	no	—
372	C₂²	—	8	4	no	—
373	C₂²	C₂×#120×C₇₃	1	1	yes	characteristic
374	C₂²	#532×C₇₃	1	1	yes	characteristic
375	C₂²	#535×C₇₃	1	1	yes	characteristic
376	C₂²	#577×C₇₃	1	4	yes	—
377	C₄	—	2	4	no	—
378	C₄	—	4	2	no	—
379	C₄	—	4	4	no	—
380	C₄	—	4	1	no	—
381	C₄	—	8	2	no	—
382	C₄	—	8	2	no	—
383	C₄	#546×C₇₃	1	2	yes	—
384	C₄	#550×C₇₃	1	2	yes	—
385	C₂	—	8	1	no	—
386	C₂	—	8	4	no	—
387	C₂	C₇₃×#2431	1	1	yes	characteristic
388	C₂	C₇₃×#3009	1	2	yes	—
389	C₂	C₇₃×#3174	1	2	yes	—
390	C₂	C₇₃×#3221	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₇₃
prime radical	C₂×#540×C₇₃	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₃ ◁ C₂×#117×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×#492×C₇₃	C₂	semidirect
3. C₂×#491×C₇₃	C₂	semidirect
4. C₇₃×#2621	C₂	semidirect
5. C₇₃×#2000	C₂	semidirect
6. C₇₃×#1991	C₂	semidirect
7. C₇₃×#1961	C₂	semidirect
8. C₇₃×#1877	C₂	semidirect
9. C₇₃×#1750	C₂	semidirect
189. #25606	C₇₃	direct (N × H)
197. C₂×#492	C₂×C₇₃	semidirect
198. C₂×#491	C₂×C₇₃	semidirect
199. #2621	C₂×C₇₃	semidirect
200. #2000	C₂×C₇₃	semidirect
201. #1991	C₂×C₇₃	semidirect
202. #1961	C₂×C₇₃	semidirect
203. #1877	C₂×C₇₃	semidirect
204. #1750	C₂×C₇₃	semidirect
205. C₇₃	#25606	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#540×C₇₃	2
C₂×#492×C₇₃	2
C₂×#491×C₇₃	2
C₇₃×#2621	2
C₇₃×#2000	2
C₇₃×#1991	2
C₇₃×#1961	2
C₇₃×#1877	2
C₇₃×#1750	2
#25606	73

Subgroups — C73×#25606 #32935010

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#25606 #32935010