Subgroups — C₇₃×#34876 #32944280

Order 18688.

2614 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#529×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#41×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#2611	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2610	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2604	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2603	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2564	C₂	1	2	yes	maximal, complemented
8	C₇₃×#2543	C₂	1	2	yes	maximal, complemented
9	C₇₃×#2498	C₂	1	2	yes	maximal, complemented
10	C₇₃×#2430	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2399	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₃×#2398	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#2398	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#2397	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×#121×C₇₃	C₂	1	4	yes	maximal, complemented
16	C₇₃×#2290	C₂	1	4	yes	maximal, complemented
17	C₂×#376×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic
19	#529×C₇₃	—	2	8	no	—
20	C₂×#126×C₇₃	C₂²	1	2	yes	—
21	C₂×#125×C₇₃	C₂²	1	1	yes	characteristic
22	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
23	C₂×#123×C₇₃	C₂²	1	2	yes	—
24	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
25	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
26	C₂×#121×C₇₃	C₂²	1	4	yes	—
27	C₄×#41×C₇₃	—	2	8	no	—
28	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
29	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₇₃	C₂²	1	4	yes	—
33	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
35	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
38	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
39	C₂×#117×C₇₃	C₂²	1	2	yes	—
40	C₂×#117×C₇₃	C₂²	1	2	yes	—
41	C₂²×C₄²×C₇₃	C₂²	1	2	yes	—
42	C₂²×C₄²×C₇₃	C₂²	1	2	yes	—
43	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
44	#400×C₇₃	C₂²	1	2	yes	—
45	#400×C₇₃	C₂²	1	2	yes	—
46	#399×C₇₃	C₂²	1	2	yes	—
47	#399×C₇₃	C₂²	1	2	yes	—
48	#398×C₇₃	C₂²	1	2	yes	—
49	#398×C₇₃	C₂²	1	2	yes	—
50	#397×C₇₃	C₂²	1	2	yes	—
51	#397×C₇₃	C₂²	1	2	yes	—
52	#395×C₇₃	C₂²	1	2	yes	—
53	#395×C₇₃	C₂²	1	2	yes	—
54	#394×C₇₃	C₂²	1	2	yes	—
55	#394×C₇₃	C₂²	1	2	yes	—
56	#393×C₇₃	C₂²	1	2	yes	—
57	#393×C₇₃	C₂²	1	2	yes	—
58	#392×C₇₃	C₂²	1	2	yes	—
59	#392×C₇₃	C₂²	1	2	yes	—
60	#390×C₇₃	C₂²	1	4	yes	—
61	#389×C₇₃	C₂²	1	4	yes	—
62	#388×C₇₃	C₂²	1	4	yes	—
63	#388×C₇₃	C₂²	1	4	yes	—
64	#388×C₇₃	C₂²	1	4	yes	—
65	#388×C₇₃	C₂²	1	4	yes	—
66	#387×C₇₃	C₂²	1	4	yes	—
67	#387×C₇₃	C₂²	1	4	yes	—
68	#386×C₇₃	C₂²	1	4	yes	—
69	#386×C₇₃	C₂²	1	4	yes	—
70	#386×C₇₃	C₂²	1	4	yes	—
71	#386×C₇₃	C₂²	1	4	yes	—
72	#385×C₇₃	C₂²	1	4	yes	—
73	#385×C₇₃	C₂²	1	4	yes	—
74	#380×C₇₃	C₂²	1	4	yes	—
75	C₄×C₄⋊C₄×C₇₃	C₂²	1	4	yes	—
76	C₄×C₂²⋊C₄×C₇₃	C₂²	1	4	yes	—
77	C₄×C₂²⋊C₄×C₇₃	C₂²	1	4	yes	—
78	#376×C₇₃	C₂²	1	2	yes	—
79	#376×C₇₃	C₂²	1	2	yes	—
80	#376×C₇₃	C₂²	1	2	yes	—
81	#376×C₇₃	C₂²	1	1	yes	characteristic
82	#376×C₇₃	C₂²	1	1	yes	characteristic
83	C₂×#95×C₇₃	C₂²	1	2	yes	—
84	C₂×#95×C₇₃	C₂²	1	2	yes	—
85	C₂×#41×C₇₃	—	2	8	no	—
86	C₂×#41×C₇₃	—	2	4	no	—
87	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
88	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
89	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
90	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
91	C₂²×D₄×C₇₃	C₂³	1	4	yes	—
92	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
93	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
94	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
95	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
96	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
97	C₂³×C₄×C₇₃	C₂³	1	4	yes	—
98	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
99	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
100	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
101	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
102	#126×C₇₃	—	2	8	no	—
103	#125×C₇₃	—	2	4	no	—
104	#124×C₇₃	—	2	4	no	—
105	#123×C₇₃	—	2	8	no	—
106	C₂²⋊Q₈×C₇₃	—	2	4	no	—
107	#121×C₇₃	—	2	16	no	—
108	#121×C₇₃	—	2	4	no	—
109	C₄×Q₈×C₇₃	—	2	4	no	—
110	C₄×Q₈×C₇₃	—	2	4	no	—
111	C₄×Q₈×C₇₃	—	2	4	no	—
112	C₄×D₄×C₇₃	—	2	8	no	—
113	C₄×D₄×C₇₃	—	2	8	no	—
114	C₄×D₄×C₇₃	—	2	8	no	—
115	C₄×D₄×C₇₃	—	2	4	no	—
116	C₄×D₄×C₇₃	—	2	4	no	—
117	C₄×D₄×C₇₃	—	2	4	no	—
118	C₄×D₄×C₇₃	—	2	16	no	—
119	#117×C₇₃	—	2	4	no	—
120	#117×C₇₃	—	2	8	no	—
121	#117×C₇₃	—	2	8	no	—
122	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
123	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
124	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
125	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
126	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
127	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
128	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
129	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
130	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
131	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
132	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
133	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
134	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	—
135	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
136	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
137	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
138	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
139	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
140	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
141	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
142	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
143	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
144	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
145	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
146	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
147	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
148	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	—
149	C₂×C₄²×C₇₃	—	2	8	no	—
150	C₂×C₄²×C₇₃	—	2	8	no	—
151	C₂×C₄²×C₇₃	D₄	1	8	yes	complemented
152	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
153	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
154	C₂×C₄²×C₇₃	C₂³	1	4	yes	—
155	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
156	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
157	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
158	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
159	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
160	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
161	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
162	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
163	#95×C₇₃	C₂³	1	4	yes	—
164	#95×C₇₃	C₂³	1	4	yes	—
165	#95×C₇₃	C₂³	1	4	yes	—
166	#95×C₇₃	C₂³	1	4	yes	—
167	#95×C₇₃	C₂³	1	4	yes	—
168	#95×C₇₃	C₂³	1	4	yes	—
169	#95×C₇₃	C₂³	1	4	yes	—
170	#95×C₇₃	C₂³	1	4	yes	—
171	#95×C₇₃	C₂³	1	2	yes	—
172	#95×C₇₃	C₂³	1	2	yes	—
173	#95×C₇₃	C₂³	1	2	yes	—
174	#95×C₇₃	C₂³	1	2	yes	—
175	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
176	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
177	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
178	#41×C₇₃	—	2	32	no	—
179	C₂×Q₈×C₇₃	—	2	2	no	—
180	C₂×Q₈×C₇₃	—	2	2	no	—
181	C₂×Q₈×C₇₃	—	2	4	no	—
182	C₂×Q₈×C₇₃	—	4	2	no	—
183	C₂×D₄×C₇₃	—	2	4	no	—
184	C₂×D₄×C₇₃	—	2	4	no	—
185	C₂×D₄×C₇₃	—	2	4	no	—
186	C₂×D₄×C₇₃	—	2	4	no	—
187	C₂×D₄×C₇₃	—	2	8	no	—
188	C₂×D₄×C₇₃	—	2	8	no	—
189	C₂×D₄×C₇₃	—	2	2	no	—
190	C₂×D₄×C₇₃	—	2	2	no	—
191	C₂×D₄×C₇₃	—	2	8	no	—
192	C₂×D₄×C₇₃	—	4	4	no	—
193	C₂×D₄×C₇₃	—	4	2	no	—
194	C₂×D₄×C₇₃	#41	1	8	yes	—
195	C₂²×C₄×C₇₃	—	2	4	no	—
196	C₂²×C₄×C₇₃	—	2	4	no	—
197	C₂²×C₄×C₇₃	—	2	4	no	—
198	C₂²×C₄×C₇₃	—	2	4	no	—
199	C₂²×C₄×C₇₃	—	2	4	no	—
200	C₂²×C₄×C₇₃	—	2	8	no	—
201	C₂²×C₄×C₇₃	—	2	4	no	—
202	C₂²×C₄×C₇₃	—	2	4	no	—
203	C₂²×C₄×C₇₃	—	2	4	no	—
204	C₂²×C₄×C₇₃	—	2	8	no	—
205	C₂²×C₄×C₇₃	—	2	8	no	—
206	C₂²×C₄×C₇₃	—	2	8	no	—
207	C₂²×C₄×C₇₃	—	4	4	no	—
208	C₂²×C₄×C₇₃	—	4	2	no	—
209	C₂²×C₄×C₇₃	—	4	4	no	—
210	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
211	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
212	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
213	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
214	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
215	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
216	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
217	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
218	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
219	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
220	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
221	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
222	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
223	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
224	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
225	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
226	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
227	C₄⋊C₄×C₇₃	—	2	4	no	—
228	C₄⋊C₄×C₇₃	—	2	4	no	—
229	C₄⋊C₄×C₇₃	—	2	2	no	—
230	C₄⋊C₄×C₇₃	—	2	2	no	—
231	C₄⋊C₄×C₇₃	—	2	4	no	—
232	C₄⋊C₄×C₇₃	—	2	4	no	—
233	C₄⋊C₄×C₇₃	—	2	2	no	—
234	C₄⋊C₄×C₇₃	—	2	4	no	—
235	C₄⋊C₄×C₇₃	—	2	2	no	—
236	C₄⋊C₄×C₇₃	—	2	4	no	—
237	C₄⋊C₄×C₇₃	—	2	8	no	—
238	C₄⋊C₄×C₇₃	—	2	8	no	—
239	C₄⋊C₄×C₇₃	—	4	4	no	—
240	C₂²⋊C₄×C₇₃	—	2	4	no	—
241	C₂²⋊C₄×C₇₃	—	2	4	no	—
242	C₂²⋊C₄×C₇₃	—	2	8	no	—
243	C₂²⋊C₄×C₇₃	—	2	4	no	—
244	C₂²⋊C₄×C₇₃	—	2	4	no	—
245	C₂²⋊C₄×C₇₃	—	2	4	no	—
246	C₂²⋊C₄×C₇₃	—	2	4	no	—
247	C₂²⋊C₄×C₇₃	—	2	4	no	—
248	C₂²⋊C₄×C₇₃	—	2	4	no	—
249	C₂²⋊C₄×C₇₃	—	2	8	no	—
250	C₂²⋊C₄×C₇₃	—	2	8	no	—
251	C₂²⋊C₄×C₇₃	—	2	8	no	—
252	C₂²⋊C₄×C₇₃	—	4	4	no	—
253	C₂²⋊C₄×C₇₃	—	4	4	no	—
254	C₄²×C₇₃	—	2	4	no	—
255	C₄²×C₇₃	—	2	4	no	—
256	C₄²×C₇₃	—	2	4	no	—
257	C₄²×C₇₃	—	2	4	no	—
258	C₄²×C₇₃	—	2	8	no	—
259	C₄²×C₇₃	—	2	4	no	—
260	C₄²×C₇₃	C₂×D₄	1	4	yes	—
261	C₄²×C₇₃	C₂×D₄	1	4	yes	—
262	C₄²×C₇₃	C₂×D₄	1	4	yes	—
263	C₄²×C₇₃	C₂×D₄	1	4	yes	—
264	C₄²×C₇₃	#41	1	8	yes	complemented
265	C₂³×C₇₃	—	2	2	no	—
266	C₂³×C₇₃	—	2	2	no	—
267	C₂³×C₇₃	—	2	2	no	—
268	C₂³×C₇₃	—	2	4	no	—
269	C₂³×C₇₃	—	2	2	no	—
270	C₂³×C₇₃	—	2	4	no	—
271	C₂³×C₇₃	—	2	2	no	—
272	C₂³×C₇₃	—	2	4	no	—
273	C₂³×C₇₃	—	2	4	no	—
274	C₂³×C₇₃	—	2	2	no	—
275	C₂³×C₇₃	—	2	2	no	—
276	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
277	C₂³×C₇₃	C₂×#41	1	4	yes	—
278	C₂³×C₇₃	C₂×#41	1	4	yes	—
279	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
280	Q₈×C₇₃	—	2	8	no	—
281	Q₈×C₇₃	—	4	4	no	—
282	D₄×C₇₃	—	2	8	no	—
283	D₄×C₇₃	—	2	16	no	—
284	D₄×C₇₃	—	4	16	no	—
285	D₄×C₇₃	—	4	4	no	—
286	D₄×C₇₃	—	4	8	no	—
287	C₂×C₄×C₇₃	—	2	16	no	—
288	C₂×C₄×C₇₃	—	2	8	no	—
289	C₂×C₄×C₇₃	—	2	2	no	—
290	C₂×C₄×C₇₃	—	2	2	no	—
291	C₂×C₄×C₇₃	—	2	4	no	—
292	C₂×C₄×C₇₃	—	2	2	no	—
293	C₂×C₄×C₇₃	—	2	2	no	—
294	C₂×C₄×C₇₃	—	2	2	no	—
295	C₂×C₄×C₇₃	—	2	4	no	—
296	C₂×C₄×C₇₃	—	2	2	no	—
297	C₂×C₄×C₇₃	—	2	2	no	—
298	C₂×C₄×C₇₃	—	2	8	no	—
299	C₂×C₄×C₇₃	—	2	2	no	—
300	C₂×C₄×C₇₃	—	2	2	no	—
301	C₂×C₄×C₇₃	—	2	2	no	—
302	C₂×C₄×C₇₃	—	2	2	no	—
303	C₂×C₄×C₇₃	—	2	2	no	—
304	C₂×C₄×C₇₃	—	2	4	no	—
305	C₂×C₄×C₇₃	—	2	4	no	—
306	C₂×C₄×C₇₃	—	2	4	no	—
307	C₂×C₄×C₇₃	—	2	4	no	—
308	C₂×C₄×C₇₃	—	2	4	no	—
309	C₂×C₄×C₇₃	—	2	4	no	—
310	C₂×C₄×C₇₃	—	2	2	no	—
311	C₂×C₄×C₇₃	—	2	4	no	—
312	C₂×C₄×C₇₃	—	2	2	no	—
313	C₂×C₄×C₇₃	—	4	4	no	—
314	C₂×C₄×C₇₃	—	4	16	no	—
315	C₂×C₄×C₇₃	—	4	8	no	—
316	C₂×C₄×C₇₃	—	4	8	no	—
317	C₂×C₄×C₇₃	—	4	8	no	—
318	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
319	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
320	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
321	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
322	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
323	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
324	C₂×C₄×C₇₃	C₂×#41	1	8	yes	—
325	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
326	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
327	C₂²×C₇₃	—	2	2	no	—
328	C₂²×C₇₃	—	2	2	no	—
329	C₂²×C₇₃	—	2	8	no	—
330	C₂²×C₇₃	—	2	4	no	—
331	C₂²×C₇₃	—	2	8	no	—
332	C₂²×C₇₃	—	4	2	no	—
333	C₂²×C₇₃	—	4	2	no	—
334	C₂²×C₇₃	—	4	4	no	—
335	C₂²×C₇₃	—	4	2	no	—
336	C₂²×C₇₃	—	4	2	no	—
337	C₂²×C₇₃	—	4	2	no	—
338	C₂²×C₇₃	—	4	4	no	—
339	C₂²×C₇₃	—	4	4	no	—
340	C₂²×C₇₃	#525	1	4	yes	—
341	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
342	C₂²×C₇₃	C₂²×#41	1	2	yes	—
343	C₂²×C₇₃	C₂²×#41	1	2	yes	—
344	C₂²×C₇₃	#585	1	2	yes	—
345	C₄×C₇₃	—	2	2	no	—
346	C₄×C₇₃	—	2	2	no	—
347	C₄×C₇₃	—	2	4	no	—
348	C₄×C₇₃	—	2	2	no	—
349	C₄×C₇₃	—	2	2	no	—
350	C₄×C₇₃	—	2	2	no	—
351	C₄×C₇₃	—	2	8	no	—
352	C₄×C₇₃	—	4	2	no	—
353	C₄×C₇₃	—	4	2	no	—
354	C₄×C₇₃	—	4	2	no	—
355	C₄×C₇₃	—	4	2	no	—
356	C₄×C₇₃	—	4	2	no	—
357	C₄×C₇₃	—	4	4	no	—
358	C₄×C₇₃	#532	1	4	yes	—
359	#34876	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
360	C₂×C₇₃	—	2	4	no	—
361	C₂×C₇₃	—	4	4	no	—
362	C₂×C₇₃	—	8	2	no	—
363	C₂×C₇₃	C₂×#525	1	1	yes	characteristic
364	C₂×C₇₃	C₂×#532	1	1	yes	characteristic
365	C₂×C₇₃	#3449	1	1	yes	characteristic
366	C₂×C₇₃	#3475	1	4	yes	—
367	C₂×#529	C₂×C₇₃	1	1	yes	characteristic, complemented
368	C₂×C₄×#41	C₂×C₇₃	1	1	yes	characteristic, complemented
369	#2611	C₂×C₇₃	1	2	yes	complemented
370	#2610	C₂×C₇₃	1	2	yes	complemented
371	#2604	C₂×C₇₃	1	2	yes	complemented
372	#2603	C₂×C₇₃	1	2	yes	complemented
373	#2564	C₂×C₇₃	1	2	yes	complemented
374	#2543	C₂×C₇₃	1	2	yes	complemented
375	#2498	C₂×C₇₃	1	2	yes	complemented
376	#2430	C₂×C₇₃	1	2	yes	complemented
377	#2399	C₂×C₇₃	1	1	yes	characteristic, complemented
378	#2398	C₂×C₇₃	1	1	yes	characteristic, complemented
379	#2398	C₂×C₇₃	1	1	yes	characteristic, complemented
380	#2397	C₂×C₇₃	1	1	yes	characteristic, complemented
381	C₄×#121	C₂×C₇₃	1	4	yes	complemented
382	#2290	C₂×C₇₃	1	4	yes	complemented
383	C₂×#376	C₂×C₇₃	1	1	yes	characteristic, complemented
384	C₇₃	#34876	1	1	yes	characteristic, direct product factor, Sylow
385	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic
386	#529	—	2	8	no	—
387	C₂×#126	C₂²×C₇₃	1	2	yes	—
388	C₂×#125	C₂²×C₇₃	1	1	yes	characteristic
389	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
390	C₂×#123	C₂²×C₇₃	1	2	yes	—
391	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
392	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
393	C₂×#121	C₂²×C₇₃	1	4	yes	—
394	C₄×#41	—	2	8	no	—
395	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
396	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
397	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
398	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
399	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
400	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
401	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
402	C₂×C₄×D₄	C₂²×C₇₃	1	4	yes	—
403	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
404	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
405	C₂×#117	C₂²×C₇₃	1	2	yes	—
406	C₂×#117	C₂²×C₇₃	1	1	yes	characteristic
407	C₂×#117	C₂²×C₇₃	1	2	yes	—
408	C₂²×C₄²	C₂²×C₇₃	1	2	yes	—
409	C₂²×C₄²	C₂²×C₇₃	1	2	yes	—
410	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
411	#400	C₂²×C₇₃	1	2	yes	—
412	#400	C₂²×C₇₃	1	2	yes	—
413	#399	C₂²×C₇₃	1	2	yes	—
414	#399	C₂²×C₇₃	1	2	yes	—
415	#398	C₂²×C₇₃	1	2	yes	—
416	#398	C₂²×C₇₃	1	2	yes	—
417	#397	C₂²×C₇₃	1	2	yes	—
418	#397	C₂²×C₇₃	1	2	yes	—
419	#395	C₂²×C₇₃	1	2	yes	—
420	#395	C₂²×C₇₃	1	2	yes	—
421	#394	C₂²×C₇₃	1	2	yes	—
422	#394	C₂²×C₇₃	1	2	yes	—
423	#393	C₂²×C₇₃	1	2	yes	—
424	#393	C₂²×C₇₃	1	2	yes	—
425	#392	C₂²×C₇₃	1	2	yes	—
426	#392	C₂²×C₇₃	1	2	yes	—
427	#390	C₂²×C₇₃	1	4	yes	—
428	#389	C₂²×C₇₃	1	4	yes	—
429	#388	C₂²×C₇₃	1	4	yes	—
430	#388	C₂²×C₇₃	1	4	yes	—
431	#388	C₂²×C₇₃	1	4	yes	—
432	#388	C₂²×C₇₃	1	4	yes	—
433	#387	C₂²×C₇₃	1	4	yes	—
434	#387	C₂²×C₇₃	1	4	yes	—
435	#386	C₂²×C₇₃	1	4	yes	—
436	#386	C₂²×C₇₃	1	4	yes	—
437	#386	C₂²×C₇₃	1	4	yes	—
438	#386	C₂²×C₇₃	1	4	yes	—
439	#385	C₂²×C₇₃	1	4	yes	—
440	#385	C₂²×C₇₃	1	4	yes	—
441	#380	C₂²×C₇₃	1	4	yes	—
442	C₄×C₄⋊C₄	C₂²×C₇₃	1	4	yes	—
443	C₄×C₂²⋊C₄	C₂²×C₇₃	1	4	yes	—
444	C₄×C₂²⋊C₄	C₂²×C₇₃	1	4	yes	—
445	#376	C₂²×C₇₃	1	2	yes	—
446	#376	C₂²×C₇₃	1	2	yes	—
447	#376	C₂²×C₇₃	1	1	yes	characteristic
448	#376	C₂²×C₇₃	1	1	yes	characteristic
449	#376	C₂²×C₇₃	1	2	yes	—
450	C₂×#95	C₂²×C₇₃	1	2	yes	—
451	C₂×#95	C₂²×C₇₃	1	2	yes	—
452	C₂×#41	—	2	8	no	—
453	C₂×#41	—	2	4	no	—
454	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
455	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
456	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
457	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
458	C₂²×D₄	C₂³×C₇₃	1	4	yes	—
459	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
460	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
461	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
462	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
463	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
464	C₂³×C₄	C₂³×C₇₃	1	4	yes	—
465	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
466	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
467	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
468	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
469	#126	—	2	8	no	—
470	#125	—	2	4	no	—
471	#124	—	2	4	no	—
472	#123	—	2	8	no	—
473	C₂²⋊Q₈	—	2	4	no	—
474	#121	—	2	16	no	—
475	#121	—	2	4	no	—
476	C₄×Q₈	—	2	4	no	—
477	C₄×Q₈	—	2	4	no	—
478	C₄×Q₈	—	2	4	no	—
479	C₄×D₄	—	2	8	no	—
480	C₄×D₄	—	2	8	no	—
481	C₄×D₄	—	2	8	no	—
482	C₄×D₄	—	2	4	no	—
483	C₄×D₄	—	2	4	no	—
484	C₄×D₄	—	2	4	no	—
485	C₄×D₄	—	2	16	no	—
486	#117	—	2	4	no	—
487	#117	—	2	8	no	—
488	#117	—	2	8	no	—
489	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
490	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
491	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
492	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
493	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
494	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
495	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
496	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
497	C₂×C₄⋊C₄	C₂³×C₇₃	1	4	yes	—
498	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
499	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
500	C₂×C₄⋊C₄	C₂³×C₇₃	1	4	yes	—
501	C₂×C₄⋊C₄	C₂³×C₇₃	1	4	yes	—
502	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
503	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
504	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
505	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
506	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
507	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
508	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
509	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
510	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
511	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
512	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
513	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
514	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
515	C₂×C₂²⋊C₄	C₂³×C₇₃	1	4	yes	—
516	C₂×C₄²	—	2	8	no	—
517	C₂×C₄²	—	2	8	no	—
518	C₂×C₄²	D₄×C₇₃	1	8	yes	complemented
519	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
520	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
521	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
522	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
523	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
524	C₂×C₄²	C₂³×C₇₃	1	4	yes	—
525	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
526	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
527	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
528	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
529	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
530	#95	C₂³×C₇₃	1	4	yes	—
531	#95	C₂³×C₇₃	1	4	yes	—
532	#95	C₂³×C₇₃	1	2	yes	—
533	#95	C₂³×C₇₃	1	2	yes	—
534	#95	C₂³×C₇₃	1	2	yes	—
535	#95	C₂³×C₇₃	1	2	yes	—
536	#95	C₂³×C₇₃	1	4	yes	—
537	#95	C₂³×C₇₃	1	4	yes	—
538	#95	C₂³×C₇₃	1	4	yes	—
539	#95	C₂³×C₇₃	1	4	yes	—
540	#95	C₂³×C₇₃	1	4	yes	—
541	#95	C₂³×C₇₃	1	4	yes	—
542	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
543	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
544	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
545	#41	—	2	32	no	—
546	C₂×Q₈	—	2	2	no	—
547	C₂×Q₈	—	2	2	no	—
548	C₂×Q₈	—	2	4	no	—
549	C₂×Q₈	—	4	2	no	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	2	4	no	—
553	C₂×D₄	—	2	4	no	—
554	C₂×D₄	—	2	8	no	—
555	C₂×D₄	—	2	8	no	—
556	C₂×D₄	—	2	2	no	—
557	C₂×D₄	—	2	2	no	—
558	C₂×D₄	—	2	8	no	—
559	C₂×D₄	—	4	4	no	—
560	C₂×D₄	—	4	2	no	—
561	C₂×D₄	#41×C₇₃	1	8	yes	—
562	C₂²×C₄	—	2	4	no	—
563	C₂²×C₄	—	2	4	no	—
564	C₂²×C₄	—	2	4	no	—
565	C₂²×C₄	—	2	4	no	—
566	C₂²×C₄	—	2	4	no	—
567	C₂²×C₄	—	2	8	no	—
568	C₂²×C₄	—	2	4	no	—
569	C₂²×C₄	—	2	4	no	—
570	C₂²×C₄	—	2	4	no	—
571	C₂²×C₄	—	2	8	no	—
572	C₂²×C₄	—	2	8	no	—
573	C₂²×C₄	—	2	8	no	—
574	C₂²×C₄	—	4	4	no	—
575	C₂²×C₄	—	4	2	no	—
576	C₂²×C₄	—	4	4	no	—
577	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
578	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
579	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
580	C₂²×C₄	C₂⁴×C₇₃	1	4	yes	—
581	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
582	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
583	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
584	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
585	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
586	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
587	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
588	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
589	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
590	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
591	C₂²×C₄	C₂⁴×C₇₃	1	4	yes	—
592	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
593	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
594	C₄⋊C₄	—	2	4	no	—
595	C₄⋊C₄	—	2	4	no	—
596	C₄⋊C₄	—	2	2	no	—
597	C₄⋊C₄	—	2	2	no	—
598	C₄⋊C₄	—	2	4	no	—
599	C₄⋊C₄	—	2	4	no	—
600	C₄⋊C₄	—	2	2	no	—
601	C₄⋊C₄	—	2	4	no	—
602	C₄⋊C₄	—	2	2	no	—
603	C₄⋊C₄	—	2	4	no	—
604	C₄⋊C₄	—	2	8	no	—
605	C₄⋊C₄	—	2	8	no	—
606	C₄⋊C₄	—	4	4	no	—
607	C₂²⋊C₄	—	2	4	no	—
608	C₂²⋊C₄	—	2	4	no	—
609	C₂²⋊C₄	—	2	8	no	—
610	C₂²⋊C₄	—	2	4	no	—
611	C₂²⋊C₄	—	2	4	no	—
612	C₂²⋊C₄	—	2	4	no	—
613	C₂²⋊C₄	—	2	4	no	—
614	C₂²⋊C₄	—	2	4	no	—
615	C₂²⋊C₄	—	2	4	no	—
616	C₂²⋊C₄	—	2	8	no	—
617	C₂²⋊C₄	—	2	8	no	—
618	C₂²⋊C₄	—	2	8	no	—
619	C₂²⋊C₄	—	4	4	no	—
620	C₂²⋊C₄	—	4	4	no	—
621	C₄²	—	2	4	no	—
622	C₄²	—	2	4	no	—
623	C₄²	—	2	4	no	—
624	C₄²	—	2	4	no	—
625	C₄²	—	2	8	no	—
626	C₄²	—	2	4	no	—
627	C₄²	C₂×D₄×C₇₃	1	4	yes	—
628	C₄²	C₂×D₄×C₇₃	1	4	yes	—
629	C₄²	C₂×D₄×C₇₃	1	4	yes	—
630	C₄²	C₂×D₄×C₇₃	1	4	yes	—
631	C₄²	#41×C₇₃	1	8	yes	complemented
632	C₂³	—	2	2	no	—
633	C₂³	—	2	2	no	—
634	C₂³	—	2	2	no	—
635	C₂³	—	2	4	no	—
636	C₂³	—	2	2	no	—
637	C₂³	—	2	4	no	—
638	C₂³	—	2	2	no	—
639	C₂³	—	2	4	no	—
640	C₂³	—	2	4	no	—
641	C₂³	—	2	2	no	—
642	C₂³	—	2	2	no	—
643	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
644	C₂³	C₂×#41×C₇₃	1	4	yes	—
645	C₂³	C₂×#41×C₇₃	1	4	yes	—
646	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
647	Q₈	—	2	8	no	—
648	Q₈	—	4	4	no	—
649	D₄	—	2	8	no	—
650	D₄	—	2	16	no	—
651	D₄	—	4	16	no	—
652	D₄	—	4	4	no	—
653	D₄	—	4	8	no	—
654	C₂×C₄	—	2	16	no	—
655	C₂×C₄	—	2	8	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	4	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	4	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	8	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	2	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	2	no	—
670	C₂×C₄	—	2	2	no	—
671	C₂×C₄	—	2	4	no	—
672	C₂×C₄	—	2	4	no	—
673	C₂×C₄	—	2	4	no	—
674	C₂×C₄	—	2	4	no	—
675	C₂×C₄	—	2	4	no	—
676	C₂×C₄	—	2	4	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	4	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	4	4	no	—
681	C₂×C₄	—	4	16	no	—
682	C₂×C₄	—	4	8	no	—
683	C₂×C₄	—	4	8	no	—
684	C₂×C₄	—	4	8	no	—
685	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
686	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
687	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
688	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
689	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
690	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
691	C₂×C₄	C₂×#41×C₇₃	1	8	yes	—
692	C₂×C₄	C₂×#41×C₇₃	1	4	yes	—
693	C₂×C₄	C₂×#41×C₇₃	1	4	yes	—
694	C₂²	—	2	8	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	8	no	—
698	C₂²	—	2	4	no	—
699	C₂²	—	4	4	no	—
700	C₂²	—	4	2	no	—
701	C₂²	—	4	2	no	—
702	C₂²	—	4	4	no	—
703	C₂²	—	4	4	no	—
704	C₂²	—	4	2	no	—
705	C₂²	—	4	2	no	—
706	C₂²	—	4	2	no	—
707	C₂²	#525×C₇₃	1	4	yes	—
708	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
709	C₂²	C₂²×#41×C₇₃	1	2	yes	—
710	C₂²	C₂²×#41×C₇₃	1	2	yes	—
711	C₂²	#585×C₇₃	1	2	yes	—
712	C₄	—	2	8	no	—
713	C₄	—	2	2	no	—
714	C₄	—	2	2	no	—
715	C₄	—	2	4	no	—
716	C₄	—	2	2	no	—
717	C₄	—	2	2	no	—
718	C₄	—	2	2	no	—
719	C₄	—	4	4	no	—
720	C₄	—	4	2	no	—
721	C₄	—	4	2	no	—
722	C₄	—	4	2	no	—
723	C₄	—	4	2	no	—
724	C₄	—	4	2	no	—
725	C₄	#532×C₇₃	1	4	yes	—
726	C₂	—	2	4	no	—
727	C₂	—	4	4	no	—
728	C₂	—	8	2	no	—
729	C₂	C₂×#525×C₇₃	1	1	yes	characteristic
730	C₂	C₂×#532×C₇₃	1	1	yes	characteristic
731	C₂	C₇₃×#3449	1	1	yes	characteristic
732	C₂	C₇₃×#3475	1	4	yes	—

	subgroup	G/H
center	C₂²×C₄×C₇₃	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
socle	C₂³×C₇₃	C₂⁵
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#529×C₇₃	C₂	semidirect
2. C₂×C₄×#41×C₇₃	C₂	semidirect
3. C₇₃×#2611	C₂	semidirect
4. C₇₃×#2610	C₂	semidirect
5. C₇₃×#2604	C₂	semidirect
6. C₇₃×#2603	C₂	semidirect
7. C₇₃×#2564	C₂	semidirect
8. C₇₃×#2543	C₂	semidirect
9. C₇₃×#2498	C₂	semidirect
10. C₇₃×#2430	C₂	semidirect
11. C₇₃×#2399	C₂	semidirect
12. C₇₃×#2398	C₂	semidirect
13. C₇₃×#2398	C₂	semidirect
14. C₇₃×#2397	C₂	semidirect
15. C₄×#121×C₇₃	C₂	semidirect
16. C₇₃×#2290	C₂	semidirect
17. C₂×#376×C₇₃	C₂	semidirect
151. C₂×C₄²×C₇₃	D₄	semidirect
264. C₄²×C₇₃	#41	semidirect
359. #34876	C₇₃	direct (N × H)
367. C₂×#529	C₂×C₇₃	semidirect
368. C₂×C₄×#41	C₂×C₇₃	semidirect
369. #2611	C₂×C₇₃	semidirect
370. #2610	C₂×C₇₃	semidirect
371. #2604	C₂×C₇₃	semidirect
372. #2603	C₂×C₇₃	semidirect
373. #2564	C₂×C₇₃	semidirect
374. #2543	C₂×C₇₃	semidirect
375. #2498	C₂×C₇₃	semidirect
376. #2430	C₂×C₇₃	semidirect
377. #2399	C₂×C₇₃	semidirect
378. #2398	C₂×C₇₃	semidirect
379. #2398	C₂×C₇₃	semidirect
380. #2397	C₂×C₇₃	semidirect
381. C₄×#121	C₂×C₇₃	semidirect
382. #2290	C₂×C₇₃	semidirect
383. C₂×#376	C₂×C₇₃	semidirect
384. C₇₃	#34876	direct (N × H)
518. C₂×C₄²	D₄×C₇₃	semidirect
631. C₄²	#41×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#529×C₇₃	2
C₂×C₄×#41×C₇₃	2
C₇₃×#2611	2
C₇₃×#2610	2
C₇₃×#2604	2
C₇₃×#2603	2
C₇₃×#2564	2
C₇₃×#2543	2
C₇₃×#2498	2
C₇₃×#2430	2
C₇₃×#2399	2
C₇₃×#2398	2
C₇₃×#2397	2
C₄×#121×C₇₃	2
C₇₃×#2290	2
C₂×#376×C₇₃	2
#34876	73

Subgroups — C73×#34876 #32944280

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#34876 #32944280