Subgroups — C₇₃×#62616 #32972020

Order 18688.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₃×#3552	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#3359	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#3331	C₂	1	2	yes	maximal, complemented
9	C₇₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₃×#3326	C₂	1	2	yes	maximal, complemented
11	C₇₃×#3316	C₂	1	2	yes	maximal, complemented
12	C₇₃×#3307	C₂	1	2	yes	maximal, complemented
13	C₇₃×#3304	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#3244	C₂	1	2	yes	maximal, complemented
16	C₇₃×#3229	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#3225	C₂	1	2	yes	maximal, complemented
18	C₇₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#3173	C₂	1	2	yes	maximal, complemented
20	C₇₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₃×#3141	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇₃×#3137	C₂	1	2	yes	maximal, complemented
23	C₇₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	#563×C₇₃	—	2	2	no	—
25	#562×C₇₃	—	2	2	no	—
26	#559×C₇₃	—	2	1	no	—
27	#559×C₇₃	C₂²	1	1	yes	characteristic
28	#557×C₇₃	C₂²	1	1	yes	characteristic
29	#557×C₇₃	C₂²	1	1	yes	characteristic
30	#556×C₇₃	C₂²	1	1	yes	characteristic
31	#554×C₇₃	—	2	1	no	—
32	#554×C₇₃	C₂²	1	2	yes	—
33	#553×C₇₃	C₂²	1	2	yes	—
34	#550×C₇₃	C₂²	1	1	yes	characteristic
35	D₄×Q₈×C₇₃	—	2	1	no	—
36	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
38	#548×C₇₃	—	2	1	no	—
39	#548×C₇₃	C₂²	1	2	yes	—
40	#547×C₇₃	C₂²	1	2	yes	—
41	#547×C₇₃	C₂²	1	1	yes	characteristic
42	#544×C₇₃	C₂²	1	2	yes	—
43	#542×C₇₃	—	2	1	no	—
44	#542×C₇₃	C₂²	1	2	yes	—
45	#542×C₇₃	C₂²	1	2	yes	—
46	#541×C₇₃	—	2	1	no	—
47	#540×C₇₃	—	2	1	no	—
48	#539×C₇₃	—	2	2	no	—
49	#539×C₇₃	—	2	2	no	—
50	#536×C₇₃	—	2	1	no	—
51	#536×C₇₃	C₂²	1	2	yes	—
52	#533×C₇₃	C₂²	1	1	yes	characteristic
53	#532×C₇₃	C₂²	1	1	yes	characteristic
54	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
55	#529×C₇₃	C₂²	1	1	yes	characteristic
56	#529×C₇₃	C₂²	1	1	yes	characteristic
57	#501×C₇₃	C₂²	1	1	yes	characteristic
58	#498×C₇₃	C₂²	1	2	yes	—
59	#497×C₇₃	C₂²	1	1	yes	characteristic
60	#495×C₇₃	C₂²	1	2	yes	—
61	#491×C₇₃	C₂²	1	2	yes	—
62	#491×C₇₃	C₂²	1	1	yes	characteristic
63	#489×C₇₃	C₂²	1	2	yes	—
64	#489×C₇₃	C₂²	1	2	yes	—
65	#489×C₇₃	C₂²	1	2	yes	—
66	#489×C₇₃	C₂²	1	1	yes	characteristic
67	#488×C₇₃	C₂²	1	2	yes	—
68	#488×C₇₃	C₂²	1	2	yes	—
69	#487×C₇₃	C₂²	1	2	yes	—
70	#487×C₇₃	C₂²	1	1	yes	characteristic
71	#487×C₇₃	C₂²	1	1	yes	characteristic
72	#487×C₇₃	C₂²	1	2	yes	—
73	#486×C₇₃	C₂²	1	1	yes	characteristic
74	#486×C₇₃	C₂²	1	1	yes	characteristic
75	#485×C₇₃	C₂²	1	2	yes	—
76	#483×C₇₃	C₂²	1	2	yes	—
77	#483×C₇₃	C₂²	1	2	yes	—
78	#483×C₇₃	C₂²	1	2	yes	—
79	#482×C₇₃	C₂²	1	2	yes	—
80	#481×C₇₃	C₂²	1	2	yes	—
81	#479×C₇₃	C₂²	1	2	yes	—
82	#478×C₇₃	C₂²	1	2	yes	—
83	#476×C₇₃	C₂²	1	2	yes	—
84	#475×C₇₃	C₂²	1	1	yes	characteristic
85	#475×C₇₃	C₂²	1	1	yes	characteristic
86	#475×C₇₃	C₂²	1	1	yes	characteristic
87	#475×C₇₃	C₂²	1	1	yes	characteristic
88	#475×C₇₃	C₂²	1	2	yes	—
89	#470×C₇₃	C₂²	1	1	yes	characteristic
90	#470×C₇₃	C₂²	1	2	yes	—
91	#470×C₇₃	C₂²	1	1	yes	characteristic
92	#469×C₇₃	C₂²	1	2	yes	—
93	#468×C₇₃	C₂²	1	1	yes	characteristic
94	#468×C₇₃	C₂²	1	1	yes	characteristic
95	#465×C₇₃	C₂²	1	2	yes	—
96	#465×C₇₃	C₂²	1	2	yes	—
97	#464×C₇₃	C₂²	1	2	yes	—
98	#463×C₇₃	C₂²	1	2	yes	—
99	#462×C₇₃	C₂²	1	1	yes	characteristic
100	#462×C₇₃	C₂²	1	2	yes	—
101	#461×C₇₃	C₂²	1	1	yes	characteristic
102	#461×C₇₃	C₂²	1	2	yes	—
103	#460×C₇₃	C₂²	1	1	yes	characteristic
104	#459×C₇₃	C₂²	1	1	yes	characteristic
105	#452×C₇₃	C₂²	1	2	yes	—
106	#452×C₇₃	C₂²	1	2	yes	—
107	#451×C₇₃	C₂²	1	2	yes	—
108	#449×C₇₃	C₂²	1	2	yes	—
109	#449×C₇₃	C₂²	1	2	yes	—
110	#448×C₇₃	C₂²	1	2	yes	—
111	#446×C₇₃	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₇₃	C₂²	1	1	yes	characteristic
113	#442×C₇₃	C₂²	1	2	yes	—
114	#441×C₇₃	C₂²	1	2	yes	—
115	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
116	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic
117	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	—
119	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	—
120	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
121	#436×C₇₃	C₂²	1	2	yes	—
122	#436×C₇₃	C₂²	1	1	yes	characteristic
123	#435×C₇₃	C₂²	1	2	yes	—
124	C₈×D₄×C₇₃	C₂²	1	1	yes	characteristic
125	#433×C₇₃	C₂²	1	2	yes	—
126	#431×C₇₃	C₂²	1	1	yes	characteristic
127	#419×C₇₃	C₂²	1	2	yes	—
128	#417×C₇₃	C₂²	1	2	yes	—
129	#417×C₇₃	C₂²	1	2	yes	—
130	#417×C₇₃	C₂²	1	2	yes	—
131	#416×C₇₃	C₂²	1	2	yes	—
132	C₂×#103×C₇₃	C₂²	1	2	yes	—
133	#405×C₇₃	C₂²	1	2	yes	—
134	C₄×M₁₆×C₇₃	C₂²	1	1	yes	characteristic
135	C₂×#41×C₇₃	—	2	1	no	—
136	C₂×#41×C₇₃	C₂³	1	2	yes	—
137	C₂×#41×C₇₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₇₃	—	2	1	no	—
139	C₂²×Q₈×C₇₃	—	2	1	no	—
140	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
141	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
142	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
143	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
144	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
146	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
147	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
148	C₂×D₈×C₇₃	C₂³	1	2	yes	—
149	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
150	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
151	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
152	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
153	C₄⋊Q₈×C₇₃	—	2	1	no	—
154	C₄⋊Q₈×C₇₃	—	2	1	no	—
155	C₄⋊Q₈×C₇₃	—	2	2	no	—
156	C₄⋊Q₈×C₇₃	—	2	1	no	—
157	C₄⋊Q₈×C₇₃	—	2	1	no	—
158	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
159	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
160	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
161	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
162	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
163	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
164	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
165	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
166	#127×C₇₃	—	2	1	no	—
167	#127×C₇₃	C₂³	1	1	yes	characteristic
168	#126×C₇₃	—	2	2	no	—
169	#126×C₇₃	—	2	2	no	—
170	#126×C₇₃	—	2	2	no	—
171	#126×C₇₃	—	2	2	no	—
172	#126×C₇₃	—	2	1	no	—
173	#126×C₇₃	D₄	1	2	yes	—
174	#125×C₇₃	—	2	2	no	—
175	#125×C₇₃	—	2	2	no	—
176	#125×C₇₃	—	2	2	no	—
177	#125×C₇₃	—	2	1	no	—
178	#125×C₇₃	—	2	2	no	—
179	#125×C₇₃	—	2	1	no	—
180	#125×C₇₃	D₄	1	1	yes	characteristic
181	#125×C₇₃	C₂³	1	2	yes	—
182	#125×C₇₃	C₂³	1	1	yes	characteristic
183	#124×C₇₃	—	2	1	no	—
184	#124×C₇₃	—	2	1	no	—
185	#124×C₇₃	—	2	2	no	—
186	#124×C₇₃	—	2	2	no	—
187	#124×C₇₃	—	2	2	no	—
188	#124×C₇₃	D₄	1	1	yes	characteristic
189	#124×C₇₃	C₂³	1	2	yes	—
190	#124×C₇₃	C₂³	1	2	yes	—
191	#124×C₇₃	C₂³	1	1	yes	characteristic
192	#123×C₇₃	—	2	1	no	—
193	#123×C₇₃	—	2	2	no	—
194	#123×C₇₃	—	2	2	no	—
195	#123×C₇₃	—	2	2	no	—
196	#123×C₇₃	—	2	2	no	—
197	#123×C₇₃	—	2	2	no	—
198	#123×C₇₃	—	2	2	no	—
199	#123×C₇₃	—	2	2	no	—
200	#123×C₇₃	—	2	2	no	—
201	#123×C₇₃	—	2	2	no	—
202	#123×C₇₃	D₄	1	2	yes	—
203	C₂²⋊Q₈×C₇₃	—	2	1	no	—
204	C₂²⋊Q₈×C₇₃	—	2	2	no	—
205	C₂²⋊Q₈×C₇₃	—	2	2	no	—
206	C₂²⋊Q₈×C₇₃	—	2	2	no	—
207	C₂²⋊Q₈×C₇₃	—	2	2	no	—
208	C₂²⋊Q₈×C₇₃	—	2	1	no	—
209	C₂²⋊Q₈×C₇₃	—	2	1	no	—
210	C₂²⋊Q₈×C₇₃	—	2	2	no	—
211	C₂²⋊Q₈×C₇₃	—	2	2	no	—
212	C₂²⋊Q₈×C₇₃	—	2	2	no	—
213	C₂²⋊Q₈×C₇₃	—	2	2	no	—
214	C₂²⋊Q₈×C₇₃	—	2	2	no	—
215	C₂²⋊Q₈×C₇₃	—	2	2	no	—
216	C₂²⋊Q₈×C₇₃	—	2	2	no	—
217	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
218	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
219	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
220	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
221	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
222	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
223	#121×C₇₃	—	2	2	no	—
224	#121×C₇₃	—	2	2	no	—
225	#121×C₇₃	—	2	2	no	—
226	#121×C₇₃	—	2	1	no	—
227	#121×C₇₃	—	2	1	no	—
228	#121×C₇₃	—	2	2	no	—
229	#121×C₇₃	D₄	1	1	yes	characteristic
230	#121×C₇₃	C₂³	1	2	yes	—
231	#121×C₇₃	C₂³	1	1	yes	characteristic
232	#121×C₇₃	C₂³	1	2	yes	—
233	C₄×Q₈×C₇₃	—	2	1	no	—
234	C₄×Q₈×C₇₃	—	2	1	no	—
235	C₄×Q₈×C₇₃	—	2	1	no	—
236	C₄×Q₈×C₇₃	—	2	1	no	—
237	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
240	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
241	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
242	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₇₃	—	2	2	no	—
244	C₄×D₄×C₇₃	—	2	1	no	—
245	C₄×D₄×C₇₃	—	2	1	no	—
246	C₄×D₄×C₇₃	—	2	1	no	—
247	C₄×D₄×C₇₃	—	2	1	no	—
248	C₄×D₄×C₇₃	—	2	2	no	—
249	C₄×D₄×C₇₃	—	2	2	no	—
250	C₄×D₄×C₇₃	—	2	1	no	—
251	C₄×D₄×C₇₃	—	2	1	no	—
252	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₇₃	C₂³	1	2	yes	—
254	C₄×D₄×C₇₃	C₂³	1	2	yes	—
255	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₇₃	C₂³	1	2	yes	—
257	#117×C₇₃	—	2	1	no	—
258	#117×C₇₃	—	2	1	no	—
259	#117×C₇₃	C₂³	1	2	yes	—
260	#117×C₇₃	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
262	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
263	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
264	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
265	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
266	#107×C₇₃	C₂³	1	1	yes	characteristic
267	#107×C₇₃	C₂³	1	1	yes	characteristic
268	#106×C₇₃	C₂³	1	2	yes	—
269	#106×C₇₃	C₂³	1	2	yes	—
270	#106×C₇₃	C₂³	1	1	yes	characteristic
271	#106×C₇₃	C₂³	1	1	yes	characteristic
272	#106×C₇₃	C₂³	1	2	yes	—
273	#106×C₇₃	C₂³	1	2	yes	—
274	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
275	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
276	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
277	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
278	#103×C₇₃	C₂³	1	1	yes	characteristic
279	#103×C₇₃	C₂³	1	2	yes	—
280	#103×C₇₃	C₂³	1	2	yes	—
281	#103×C₇₃	C₂³	1	2	yes	—
282	#103×C₇₃	C₂³	1	1	yes	characteristic
283	#103×C₇₃	C₂³	1	2	yes	—
284	#103×C₇₃	C₂³	1	1	yes	characteristic
285	#103×C₇₃	C₂³	1	2	yes	—
286	#103×C₇₃	C₂³	1	2	yes	—
287	#103×C₇₃	C₂³	1	2	yes	—
288	#103×C₇₃	C₂³	1	2	yes	—
289	#103×C₇₃	C₂³	1	1	yes	characteristic
290	#103×C₇₃	C₂³	1	2	yes	—
291	#103×C₇₃	C₂³	1	2	yes	—
292	#103×C₇₃	C₂³	1	1	yes	characteristic
293	#103×C₇₃	C₂³	1	1	yes	characteristic
294	#102×C₇₃	C₂³	1	2	yes	—
295	#102×C₇₃	C₂³	1	2	yes	—
296	#102×C₇₃	C₂³	1	2	yes	—
297	#102×C₇₃	C₂³	1	2	yes	—
298	#102×C₇₃	C₂³	1	2	yes	—
299	#102×C₇₃	C₂³	1	2	yes	—
300	#102×C₇₃	C₂³	1	1	yes	characteristic
301	#102×C₇₃	C₂³	1	1	yes	characteristic
302	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
303	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
305	#97×C₇₃	C₂³	1	1	yes	characteristic
306	#97×C₇₃	C₂³	1	1	yes	characteristic
307	#97×C₇₃	C₂³	1	2	yes	—
308	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₇₃	C₂³	1	2	yes	—
311	C₄×C₈×C₇₃	C₂³	1	2	yes	—
312	#41×C₇₃	—	4	2	no	—
313	#41×C₇₃	—	4	2	no	—
314	#41×C₇₃	—	4	2	no	—
315	#41×C₇₃	—	4	2	no	—
316	#41×C₇₃	—	8	2	no	—
317	C₂×Q₈×C₇₃	—	2	1	no	—
318	C₂×Q₈×C₇₃	—	2	1	no	—
319	C₂×Q₈×C₇₃	—	2	1	no	—
320	C₂×Q₈×C₇₃	—	2	2	no	—
321	C₂×Q₈×C₇₃	—	2	2	no	—
322	C₂×Q₈×C₇₃	—	2	2	no	—
323	C₂×Q₈×C₇₃	—	4	2	no	—
324	C₂×Q₈×C₇₃	—	4	2	no	—
325	C₂×Q₈×C₇₃	—	8	2	no	—
326	C₂×Q₈×C₇₃	—	8	2	no	—
327	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₇₃	—	2	1	no	—
333	C₂×D₄×C₇₃	—	2	2	no	—
334	C₂×D₄×C₇₃	—	2	2	no	—
335	C₂×D₄×C₇₃	—	2	2	no	—
336	C₂×D₄×C₇₃	—	2	2	no	—
337	C₂×D₄×C₇₃	—	2	1	no	—
338	C₂×D₄×C₇₃	—	2	1	no	—
339	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
340	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
342	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₇₃	—	2	2	no	—
344	C₂²×C₄×C₇₃	—	2	2	no	—
345	C₂²×C₄×C₇₃	—	2	2	no	—
346	C₂²×C₄×C₇₃	—	2	1	no	—
347	C₂²×C₄×C₇₃	—	2	2	no	—
348	C₂²×C₄×C₇₃	—	2	2	no	—
349	C₂²×C₄×C₇₃	—	2	2	no	—
350	C₂²×C₄×C₇₃	—	2	2	no	—
351	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
355	Q₁₆×C₇₃	—	4	2	no	—
356	Q₁₆×C₇₃	—	4	1	no	—
357	Q₁₆×C₇₃	—	4	1	no	—
358	SD₁₆×C₇₃	—	4	2	no	—
359	SD₁₆×C₇₃	—	4	2	no	—
360	SD₁₆×C₇₃	—	4	1	no	—
361	SD₁₆×C₇₃	—	4	1	no	—
362	D₈×C₇₃	—	4	2	no	—
363	M₁₆×C₇₃	—	4	1	no	—
364	M₁₆×C₇₃	—	4	2	no	—
365	M₁₆×C₇₃	—	4	1	no	—
366	C₂×C₈×C₇₃	—	4	2	no	—
367	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
369	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
373	C₄⋊C₄×C₇₃	—	2	1	no	—
374	C₄⋊C₄×C₇₃	—	2	2	no	—
375	C₄⋊C₄×C₇₃	—	2	2	no	—
376	C₄⋊C₄×C₇₃	—	2	1	no	—
377	C₄⋊C₄×C₇₃	—	2	2	no	—
378	C₄⋊C₄×C₇₃	—	2	1	no	—
379	C₄⋊C₄×C₇₃	—	2	2	no	—
380	C₄⋊C₄×C₇₃	—	2	2	no	—
381	C₄⋊C₄×C₇₃	—	2	1	no	—
382	C₄⋊C₄×C₇₃	—	2	1	no	—
383	C₄⋊C₄×C₇₃	—	2	1	no	—
384	C₄⋊C₄×C₇₃	—	2	1	no	—
385	C₄⋊C₄×C₇₃	—	2	1	no	—
386	C₄⋊C₄×C₇₃	—	2	1	no	—
387	C₄⋊C₄×C₇₃	—	2	1	no	—
388	C₄⋊C₄×C₇₃	—	2	2	no	—
389	C₄⋊C₄×C₇₃	—	2	1	no	—
390	C₄⋊C₄×C₇₃	—	2	2	no	—
391	C₄⋊C₄×C₇₃	—	2	2	no	—
392	C₄⋊C₄×C₇₃	—	2	1	no	—
393	C₄⋊C₄×C₇₃	—	2	2	no	—
394	C₄⋊C₄×C₇₃	—	2	2	no	—
395	C₄⋊C₄×C₇₃	—	2	1	no	—
396	C₄⋊C₄×C₇₃	—	2	2	no	—
397	C₄⋊C₄×C₇₃	—	2	1	no	—
398	C₄⋊C₄×C₇₃	—	2	2	no	—
399	C₄⋊C₄×C₇₃	—	2	1	no	—
400	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
401	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
404	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
405	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
406	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
408	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
410	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
411	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
412	C₂²⋊C₄×C₇₃	—	2	1	no	—
413	C₂²⋊C₄×C₇₃	—	2	1	no	—
414	C₂²⋊C₄×C₇₃	—	2	2	no	—
415	C₂²⋊C₄×C₇₃	—	2	1	no	—
416	C₂²⋊C₄×C₇₃	—	2	2	no	—
417	C₂²⋊C₄×C₇₃	—	2	2	no	—
418	C₂²⋊C₄×C₇₃	—	2	1	no	—
419	C₂²⋊C₄×C₇₃	—	2	1	no	—
420	C₂²⋊C₄×C₇₃	—	2	2	no	—
421	C₂²⋊C₄×C₇₃	—	2	2	no	—
422	C₂²⋊C₄×C₇₃	—	2	2	no	—
423	C₂²⋊C₄×C₇₃	—	2	2	no	—
424	C₂²⋊C₄×C₇₃	—	2	2	no	—
425	C₂²⋊C₄×C₇₃	—	2	1	no	—
426	C₂²⋊C₄×C₇₃	—	2	2	no	—
427	C₂²⋊C₄×C₇₃	—	2	2	no	—
428	C₂²⋊C₄×C₇₃	—	2	1	no	—
429	C₂²⋊C₄×C₇₃	—	2	2	no	—
430	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
434	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
435	C₄²×C₇₃	—	2	1	no	—
436	C₄²×C₇₃	—	2	1	no	—
437	C₄²×C₇₃	—	2	1	no	—
438	C₄²×C₇₃	—	2	2	no	—
439	C₄²×C₇₃	—	2	2	no	—
440	C₄²×C₇₃	—	2	2	no	—
441	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
444	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
445	C₄²×C₇₃	C₂⁴	1	2	yes	—
446	C₂³×C₇₃	—	2	1	no	—
447	C₂³×C₇₃	—	2	2	no	—
448	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
449	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
450	Q₈×C₇₃	—	2	2	no	—
451	Q₈×C₇₃	—	2	1	no	—
452	Q₈×C₇₃	—	2	1	no	—
453	Q₈×C₇₃	—	2	2	no	—
454	Q₈×C₇₃	—	2	1	no	—
455	Q₈×C₇₃	—	2	1	no	—
456	Q₈×C₇₃	—	2	1	no	—
457	Q₈×C₇₃	—	2	2	no	—
458	Q₈×C₇₃	—	2	1	no	—
459	Q₈×C₇₃	—	4	2	no	—
460	Q₈×C₇₃	—	4	2	no	—
461	Q₈×C₇₃	—	8	1	no	—
462	Q₈×C₇₃	—	8	2	no	—
463	Q₈×C₇₃	—	8	2	no	—
464	Q₈×C₇₃	—	8	2	no	—
465	D₄×C₇₃	—	2	2	no	—
466	D₄×C₇₃	—	2	1	no	—
467	D₄×C₇₃	—	2	2	no	—
468	D₄×C₇₃	—	2	1	no	—
469	D₄×C₇₃	—	2	2	no	—
470	D₄×C₇₃	—	4	2	no	—
471	D₄×C₇₃	—	4	2	no	—
472	D₄×C₇₃	—	4	2	no	—
473	D₄×C₇₃	—	8	1	no	—
474	D₄×C₇₃	—	8	2	no	—
475	D₄×C₇₃	—	8	2	no	—
476	D₄×C₇₃	—	8	2	no	—
477	D₄×C₇₃	—	8	2	no	—
478	C₂×C₄×C₇₃	—	2	2	no	—
479	C₂×C₄×C₇₃	—	2	2	no	—
480	C₂×C₄×C₇₃	—	2	2	no	—
481	C₂×C₄×C₇₃	—	2	1	no	—
482	C₂×C₄×C₇₃	—	2	1	no	—
483	C₂×C₄×C₇₃	—	2	1	no	—
484	C₂×C₄×C₇₃	—	2	1	no	—
485	C₂×C₄×C₇₃	—	2	1	no	—
486	C₂×C₄×C₇₃	—	2	1	no	—
487	C₂×C₄×C₇₃	—	2	1	no	—
488	C₂×C₄×C₇₃	—	2	2	no	—
489	C₂×C₄×C₇₃	—	2	2	no	—
490	C₂×C₄×C₇₃	—	2	1	no	—
491	C₂×C₄×C₇₃	—	2	2	no	—
492	C₂×C₄×C₇₃	—	2	1	no	—
493	C₂×C₄×C₇₃	—	4	1	no	—
494	C₂×C₄×C₇₃	—	4	2	no	—
495	C₂×C₄×C₇₃	—	8	2	no	—
496	C₂×C₄×C₇₃	—	8	2	no	—
497	C₂×C₄×C₇₃	—	8	2	no	—
498	C₂×C₄×C₇₃	—	8	2	no	—
499	C₂×C₄×C₇₃	—	8	2	no	—
500	C₂×C₄×C₇₃	—	8	2	no	—
501	C₂×C₄×C₇₃	—	8	2	no	—
502	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
503	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
511	C₈×C₇₃	—	2	1	no	—
512	C₈×C₇₃	—	2	2	no	—
513	C₈×C₇₃	—	2	1	no	—
514	C₈×C₇₃	—	2	2	no	—
515	C₈×C₇₃	—	2	1	no	—
516	C₈×C₇₃	—	2	1	no	—
517	C₂²×C₇₃	—	2	1	no	—
518	C₂²×C₇₃	—	2	2	no	—
519	C₂²×C₇₃	—	2	2	no	—
520	C₂²×C₇₃	—	2	1	no	—
521	C₂²×C₇₃	—	2	1	no	—
522	C₂²×C₇₃	—	2	2	no	—
523	C₂²×C₇₃	—	4	2	no	—
524	C₂²×C₇₃	—	4	1	no	—
525	C₂²×C₇₃	—	4	2	no	—
526	C₂²×C₇₃	—	4	1	no	—
527	C₂²×C₇₃	—	4	1	no	—
528	C₂²×C₇₃	—	4	2	no	—
529	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
530	C₄×C₇₃	—	2	1	no	—
531	C₄×C₇₃	—	2	1	no	—
532	C₄×C₇₃	—	2	2	no	—
533	C₄×C₇₃	—	2	1	no	—
534	C₄×C₇₃	—	2	2	no	—
535	C₄×C₇₃	—	2	1	no	—
536	C₄×C₇₃	—	2	2	no	—
537	C₄×C₇₃	—	4	1	no	—
538	C₄×C₇₃	—	4	1	no	—
539	C₄×C₇₃	—	4	1	no	—
540	C₄×C₇₃	—	4	1	no	—
541	C₄×C₇₃	—	4	2	no	—
542	C₄×C₇₃	—	4	1	no	—
543	C₄×C₇₃	—	4	1	no	—
544	C₄×C₇₃	—	4	1	no	—
545	C₄×C₇₃	—	4	2	no	—
546	C₄×C₇₃	—	4	2	no	—
547	C₄×C₇₃	#577	1	2	yes	—
548	C₄×C₇₃	#585	1	1	yes	characteristic
549	C₄×C₇₃	#585	1	1	yes	characteristic
550	#62616	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
551	C₂×C₇₃	—	4	1	no	—
552	C₂×C₇₃	—	4	2	no	—
553	C₂×C₇₃	—	8	2	no	—
554	C₂×C₇₃	—	8	1	no	—
555	C₂×C₇₃	#3500	1	1	yes	characteristic
556	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
557	C₂×C₇₃	#3586	1	1	yes	characteristic
558	#3554	C₂×C₇₃	1	1	yes	characteristic, complemented
559	#3552	C₂×C₇₃	1	1	yes	characteristic, complemented
560	#3374	C₂×C₇₃	1	1	yes	characteristic, complemented
561	#3373	C₂×C₇₃	1	1	yes	characteristic, complemented
562	#3365	C₂×C₇₃	1	1	yes	characteristic, complemented
563	#3359	C₂×C₇₃	1	1	yes	characteristic, complemented
564	#3332	C₂×C₇₃	1	1	yes	characteristic, complemented
565	#3331	C₂×C₇₃	1	2	yes	complemented
566	#3328	C₂×C₇₃	1	1	yes	characteristic, complemented
567	#3326	C₂×C₇₃	1	2	yes	complemented
568	#3316	C₂×C₇₃	1	2	yes	complemented
569	#3307	C₂×C₇₃	1	2	yes	complemented
570	#3304	C₂×C₇₃	1	1	yes	characteristic, complemented
571	#3298	C₂×C₇₃	1	1	yes	characteristic, complemented
572	#3244	C₂×C₇₃	1	2	yes	complemented
573	#3229	C₂×C₇₃	1	1	yes	characteristic, complemented
574	#3225	C₂×C₇₃	1	2	yes	complemented
575	#3212	C₂×C₇₃	1	1	yes	characteristic, complemented
576	#3173	C₂×C₇₃	1	2	yes	complemented
577	#3172	C₂×C₇₃	1	1	yes	characteristic, complemented
578	#3141	C₂×C₇₃	1	1	yes	characteristic, complemented
579	#3137	C₂×C₇₃	1	2	yes	complemented
580	#2969	C₂×C₇₃	1	1	yes	characteristic, complemented
581	C₇₃	#62616	1	1	yes	characteristic, direct product factor, Sylow
582	#563	—	2	2	no	—
583	#562	—	2	2	no	—
584	#559	—	2	1	no	—
585	#559	C₂²×C₇₃	1	1	yes	characteristic
586	#557	C₂²×C₇₃	1	1	yes	characteristic
587	#557	C₂²×C₇₃	1	1	yes	characteristic
588	#556	C₂²×C₇₃	1	1	yes	characteristic
589	#554	—	2	1	no	—
590	#554	C₂²×C₇₃	1	2	yes	—
591	#553	C₂²×C₇₃	1	2	yes	—
592	#550	C₂²×C₇₃	1	1	yes	characteristic
593	D₄×Q₈	—	2	1	no	—
594	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
595	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
596	#548	—	2	1	no	—
597	#548	C₂²×C₇₃	1	2	yes	—
598	#547	C₂²×C₇₃	1	2	yes	—
599	#547	C₂²×C₇₃	1	1	yes	characteristic
600	#544	C₂²×C₇₃	1	2	yes	—
601	#542	—	2	1	no	—
602	#542	C₂²×C₇₃	1	2	yes	—
603	#542	C₂²×C₇₃	1	2	yes	—
604	#541	—	2	1	no	—
605	#540	—	2	1	no	—
606	#539	—	2	2	no	—
607	#539	—	2	2	no	—
608	#536	—	2	1	no	—
609	#536	C₂²×C₇₃	1	2	yes	—
610	#533	C₂²×C₇₃	1	1	yes	characteristic
611	#532	C₂²×C₇₃	1	1	yes	characteristic
612	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
613	#529	C₂²×C₇₃	1	1	yes	characteristic
614	#529	C₂²×C₇₃	1	1	yes	characteristic
615	#501	C₂²×C₇₃	1	1	yes	characteristic
616	#498	C₂²×C₇₃	1	2	yes	—
617	#497	C₂²×C₇₃	1	1	yes	characteristic
618	#495	C₂²×C₇₃	1	2	yes	—
619	#491	C₂²×C₇₃	1	2	yes	—
620	#491	C₂²×C₇₃	1	1	yes	characteristic
621	#489	C₂²×C₇₃	1	2	yes	—
622	#489	C₂²×C₇₃	1	2	yes	—
623	#489	C₂²×C₇₃	1	2	yes	—
624	#489	C₂²×C₇₃	1	1	yes	characteristic
625	#488	C₂²×C₇₃	1	2	yes	—
626	#488	C₂²×C₇₃	1	2	yes	—
627	#487	C₂²×C₇₃	1	1	yes	characteristic
628	#487	C₂²×C₇₃	1	2	yes	—
629	#487	C₂²×C₇₃	1	1	yes	characteristic
630	#487	C₂²×C₇₃	1	2	yes	—
631	#486	C₂²×C₇₃	1	1	yes	characteristic
632	#486	C₂²×C₇₃	1	1	yes	characteristic
633	#485	C₂²×C₇₃	1	2	yes	—
634	#483	C₂²×C₇₃	1	2	yes	—
635	#483	C₂²×C₇₃	1	2	yes	—
636	#483	C₂²×C₇₃	1	2	yes	—
637	#482	C₂²×C₇₃	1	2	yes	—
638	#481	C₂²×C₇₃	1	2	yes	—
639	#479	C₂²×C₇₃	1	2	yes	—
640	#478	C₂²×C₇₃	1	2	yes	—
641	#476	C₂²×C₇₃	1	2	yes	—
642	#475	C₂²×C₇₃	1	1	yes	characteristic
643	#475	C₂²×C₇₃	1	1	yes	characteristic
644	#475	C₂²×C₇₃	1	1	yes	characteristic
645	#475	C₂²×C₇₃	1	2	yes	—
646	#475	C₂²×C₇₃	1	1	yes	characteristic
647	#470	C₂²×C₇₃	1	2	yes	—
648	#470	C₂²×C₇₃	1	1	yes	characteristic
649	#470	C₂²×C₇₃	1	1	yes	characteristic
650	#469	C₂²×C₇₃	1	2	yes	—
651	#468	C₂²×C₇₃	1	1	yes	characteristic
652	#468	C₂²×C₇₃	1	1	yes	characteristic
653	#465	C₂²×C₇₃	1	2	yes	—
654	#465	C₂²×C₇₃	1	2	yes	—
655	#464	C₂²×C₇₃	1	2	yes	—
656	#463	C₂²×C₇₃	1	2	yes	—
657	#462	C₂²×C₇₃	1	1	yes	characteristic
658	#462	C₂²×C₇₃	1	2	yes	—
659	#461	C₂²×C₇₃	1	1	yes	characteristic
660	#461	C₂²×C₇₃	1	2	yes	—
661	#460	C₂²×C₇₃	1	1	yes	characteristic
662	#459	C₂²×C₇₃	1	1	yes	characteristic
663	#452	C₂²×C₇₃	1	2	yes	—
664	#452	C₂²×C₇₃	1	2	yes	—
665	#451	C₂²×C₇₃	1	2	yes	—
666	#449	C₂²×C₇₃	1	2	yes	—
667	#449	C₂²×C₇₃	1	2	yes	—
668	#448	C₂²×C₇₃	1	2	yes	—
669	#446	C₂²×C₇₃	1	1	yes	characteristic
670	C₈×Q₈	C₂²×C₇₃	1	1	yes	characteristic
671	#442	C₂²×C₇₃	1	2	yes	—
672	#441	C₂²×C₇₃	1	2	yes	—
673	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
674	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
675	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	—
676	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic
677	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	—
678	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic
679	#436	C₂²×C₇₃	1	1	yes	characteristic
680	#436	C₂²×C₇₃	1	2	yes	—
681	#435	C₂²×C₇₃	1	2	yes	—
682	C₈×D₄	C₂²×C₇₃	1	1	yes	characteristic
683	#433	C₂²×C₇₃	1	2	yes	—
684	#431	C₂²×C₇₃	1	1	yes	characteristic
685	#419	C₂²×C₇₃	1	2	yes	—
686	#417	C₂²×C₇₃	1	2	yes	—
687	#417	C₂²×C₇₃	1	2	yes	—
688	#417	C₂²×C₇₃	1	2	yes	—
689	#416	C₂²×C₇₃	1	2	yes	—
690	C₂×#103	C₂²×C₇₃	1	2	yes	—
691	#405	C₂²×C₇₃	1	2	yes	—
692	C₄×M₁₆	C₂²×C₇₃	1	1	yes	characteristic
693	C₂×#41	—	2	1	no	—
694	C₂×#41	C₂³×C₇₃	1	2	yes	—
695	C₂×#41	C₂³×C₇₃	1	2	yes	—
696	C₂²×Q₈	—	2	1	no	—
697	C₂²×Q₈	—	2	1	no	—
698	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
699	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
700	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
701	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
703	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
706	C₂×D₈	C₂³×C₇₃	1	2	yes	—
707	C₂×M₁₆	C₂³×C₇₃	1	1	yes	characteristic
708	C₂×M₁₆	C₂³×C₇₃	1	1	yes	characteristic
709	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
710	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
711	C₄⋊Q₈	—	2	1	no	—
712	C₄⋊Q₈	—	2	1	no	—
713	C₄⋊Q₈	—	2	2	no	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	—	2	1	no	—
716	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
718	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
719	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
720	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
724	#127	—	2	1	no	—
725	#127	C₂³×C₇₃	1	1	yes	characteristic
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	1	no	—
731	#126	D₄×C₇₃	1	2	yes	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	2	no	—
735	#125	—	2	1	no	—
736	#125	—	2	2	no	—
737	#125	—	2	1	no	—
738	#125	D₄×C₇₃	1	1	yes	characteristic
739	#125	C₂³×C₇₃	1	1	yes	characteristic
740	#125	C₂³×C₇₃	1	2	yes	—
741	#124	—	2	1	no	—
742	#124	—	2	1	no	—
743	#124	—	2	2	no	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#124	D₄×C₇₃	1	1	yes	characteristic
747	#124	C₂³×C₇₃	1	1	yes	characteristic
748	#124	C₂³×C₇₃	1	2	yes	—
749	#124	C₂³×C₇₃	1	2	yes	—
750	#123	—	2	1	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	D₄×C₇₃	1	2	yes	—
761	C₂²⋊Q₈	—	2	1	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	1	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	D₄×C₇₃	1	1	yes	characteristic
776	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
777	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
778	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
779	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
780	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
781	#121	—	2	2	no	—
782	#121	—	2	2	no	—
783	#121	—	2	2	no	—
784	#121	—	2	1	no	—
785	#121	—	2	1	no	—
786	#121	—	2	2	no	—
787	#121	D₄×C₇₃	1	1	yes	characteristic
788	#121	C₂³×C₇₃	1	1	yes	characteristic
789	#121	C₂³×C₇₃	1	2	yes	—
790	#121	C₂³×C₇₃	1	2	yes	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	—	2	1	no	—
795	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
799	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
800	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
811	C₄×D₄	C₂³×C₇₃	1	2	yes	—
812	C₄×D₄	C₂³×C₇₃	1	2	yes	—
813	C₄×D₄	C₂³×C₇₃	1	2	yes	—
814	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
815	#117	—	2	1	no	—
816	#117	—	2	1	no	—
817	#117	C₂³×C₇₃	1	2	yes	—
818	#117	C₂³×C₇₃	1	2	yes	—
819	C₂×C₄⋊C₄	—	2	1	no	—
820	C₂×C₄⋊C₄	—	2	2	no	—
821	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
822	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
823	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
824	#107	C₂³×C₇₃	1	1	yes	characteristic
825	#107	C₂³×C₇₃	1	1	yes	characteristic
826	#106	C₂³×C₇₃	1	2	yes	—
827	#106	C₂³×C₇₃	1	2	yes	—
828	#106	C₂³×C₇₃	1	1	yes	characteristic
829	#106	C₂³×C₇₃	1	1	yes	characteristic
830	#106	C₂³×C₇₃	1	2	yes	—
831	#106	C₂³×C₇₃	1	2	yes	—
832	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
833	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
834	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
835	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
836	#103	C₂³×C₇₃	1	1	yes	characteristic
837	#103	C₂³×C₇₃	1	2	yes	—
838	#103	C₂³×C₇₃	1	2	yes	—
839	#103	C₂³×C₇₃	1	2	yes	—
840	#103	C₂³×C₇₃	1	1	yes	characteristic
841	#103	C₂³×C₇₃	1	2	yes	—
842	#103	C₂³×C₇₃	1	1	yes	characteristic
843	#103	C₂³×C₇₃	1	2	yes	—
844	#103	C₂³×C₇₃	1	2	yes	—
845	#103	C₂³×C₇₃	1	2	yes	—
846	#103	C₂³×C₇₃	1	2	yes	—
847	#103	C₂³×C₇₃	1	1	yes	characteristic
848	#103	C₂³×C₇₃	1	2	yes	—
849	#103	C₂³×C₇₃	1	2	yes	—
850	#103	C₂³×C₇₃	1	1	yes	characteristic
851	#103	C₂³×C₇₃	1	1	yes	characteristic
852	#102	C₂³×C₇₃	1	2	yes	—
853	#102	C₂³×C₇₃	1	2	yes	—
854	#102	C₂³×C₇₃	1	2	yes	—
855	#102	C₂³×C₇₃	1	2	yes	—
856	#102	C₂³×C₇₃	1	2	yes	—
857	#102	C₂³×C₇₃	1	2	yes	—
858	#102	C₂³×C₇₃	1	1	yes	characteristic
859	#102	C₂³×C₇₃	1	1	yes	characteristic
860	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
863	#97	C₂³×C₇₃	1	1	yes	characteristic
864	#97	C₂³×C₇₃	1	1	yes	characteristic
865	#97	C₂³×C₇₃	1	2	yes	—
866	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
867	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₇₃	1	2	yes	—
869	C₄×C₈	C₂³×C₇₃	1	2	yes	—
870	#41	—	4	2	no	—
871	#41	—	4	2	no	—
872	#41	—	4	2	no	—
873	#41	—	4	2	no	—
874	#41	—	8	2	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	—	2	2	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	4	2	no	—
882	C₂×Q₈	—	4	2	no	—
883	C₂×Q₈	—	8	2	no	—
884	C₂×Q₈	—	8	2	no	—
885	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
886	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
887	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
888	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
889	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
890	C₂×D₄	—	2	1	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
898	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
899	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
900	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
910	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
911	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
912	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
913	Q₁₆	—	4	2	no	—
914	Q₁₆	—	4	1	no	—
915	Q₁₆	—	4	1	no	—
916	SD₁₆	—	4	2	no	—
917	SD₁₆	—	4	2	no	—
918	SD₁₆	—	4	1	no	—
919	SD₁₆	—	4	1	no	—
920	D₈	—	4	2	no	—
921	M₁₆	—	4	1	no	—
922	M₁₆	—	4	2	no	—
923	M₁₆	—	4	1	no	—
924	C₂×C₈	—	4	2	no	—
925	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
926	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
927	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
928	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
929	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
930	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
959	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
960	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
964	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
967	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
989	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
990	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
991	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
992	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	2	no	—
999	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1000	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1001	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1002	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1003	C₄²	C₂⁴×C₇₃	1	2	yes	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	2	no	—
1006	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1007	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	1	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	1	no	—
1017	Q₈	—	4	2	no	—
1018	Q₈	—	4	2	no	—
1019	Q₈	—	8	2	no	—
1020	Q₈	—	8	2	no	—
1021	Q₈	—	8	2	no	—
1022	Q₈	—	8	1	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	2	1	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	2	1	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	4	2	no	—
1030	D₄	—	4	2	no	—
1031	D₄	—	8	1	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	2	no	—
1034	D₄	—	8	2	no	—
1035	D₄	—	8	2	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	4	1	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	—	8	2	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1061	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1062	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1063	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1064	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1065	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1066	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1067	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1068	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
1069	C₈	—	2	1	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	1	no	—
1072	C₈	—	2	2	no	—
1073	C₈	—	2	1	no	—
1074	C₈	—	2	1	no	—
1075	C₂²	—	2	2	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	1	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	2	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	1	no	—
1105	C₄	#577×C₇₃	1	2	yes	—
1106	C₄	#585×C₇₃	1	1	yes	characteristic
1107	C₄	#585×C₇₃	1	1	yes	characteristic
1108	C₂	—	4	2	no	—
1109	C₂	—	4	1	no	—
1110	C₂	—	8	2	no	—
1111	C₂	—	8	1	no	—
1112	C₂	C₇₃×#3500	1	1	yes	characteristic
1113	C₂	C₂×#577×C₇₃	1	1	yes	characteristic
1114	C₂	C₇₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇₃ ◁ #529×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇₃×#3554	C₂	semidirect
2. C₇₃×#3552	C₂	semidirect
3. C₇₃×#3374	C₂	semidirect
4. C₇₃×#3373	C₂	semidirect
5. C₇₃×#3365	C₂	semidirect
6. C₇₃×#3359	C₂	semidirect
7. C₇₃×#3332	C₂	semidirect
8. C₇₃×#3331	C₂	semidirect
9. C₇₃×#3328	C₂	semidirect
10. C₇₃×#3326	C₂	semidirect
11. C₇₃×#3316	C₂	semidirect
12. C₇₃×#3307	C₂	semidirect
13. C₇₃×#3304	C₂	semidirect
14. C₇₃×#3298	C₂	semidirect
15. C₇₃×#3244	C₂	semidirect
16. C₇₃×#3229	C₂	semidirect
17. C₇₃×#3225	C₂	semidirect
18. C₇₃×#3212	C₂	semidirect
19. C₇₃×#3173	C₂	semidirect
20. C₇₃×#3172	C₂	semidirect
21. C₇₃×#3141	C₂	semidirect
22. C₇₃×#3137	C₂	semidirect
23. C₇₃×#2969	C₂	semidirect
550. #62616	C₇₃	direct (N × H)
558. #3554	C₂×C₇₃	semidirect
559. #3552	C₂×C₇₃	semidirect
560. #3374	C₂×C₇₃	semidirect
561. #3373	C₂×C₇₃	semidirect
562. #3365	C₂×C₇₃	semidirect
563. #3359	C₂×C₇₃	semidirect
564. #3332	C₂×C₇₃	semidirect
565. #3331	C₂×C₇₃	semidirect
566. #3328	C₂×C₇₃	semidirect
567. #3326	C₂×C₇₃	semidirect
568. #3316	C₂×C₇₃	semidirect
569. #3307	C₂×C₇₃	semidirect
570. #3304	C₂×C₇₃	semidirect
571. #3298	C₂×C₇₃	semidirect
572. #3244	C₂×C₇₃	semidirect
573. #3229	C₂×C₇₃	semidirect
574. #3225	C₂×C₇₃	semidirect
575. #3212	C₂×C₇₃	semidirect
576. #3173	C₂×C₇₃	semidirect
577. #3172	C₂×C₇₃	semidirect
578. #3141	C₂×C₇₃	semidirect
579. #3137	C₂×C₇₃	semidirect
580. #2969	C₂×C₇₃	semidirect
581. C₇₃	#62616	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇₃×#3554	2
C₇₃×#3552	2
C₇₃×#3374	2
C₇₃×#3373	2
C₇₃×#3365	2
C₇₃×#3359	2
C₇₃×#3332	2
C₇₃×#3331	2
C₇₃×#3328	2
C₇₃×#3326	2
C₇₃×#3316	2
C₇₃×#3307	2
C₇₃×#3304	2
C₇₃×#3298	2
C₇₃×#3244	2
C₇₃×#3229	2
C₇₃×#3225	2
C₇₃×#3212	2
C₇₃×#3173	2
C₇₃×#3172	2
C₇₃×#3141	2
C₇₃×#3137	2
C₇₃×#2969	2
#62616	73

Subgroups — C73×#62616 #32972020

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#62616 #32972020