Subgroups — C₇₃×#62562 #32971966

Order 18688.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1132 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×#3547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#3361	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×#3329	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#3321	C₂	1	2	yes	maximal, complemented
10	C₇₃×#3307	C₂	1	2	yes	maximal, complemented
11	C₇₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₃×#3303	C₂	1	2	yes	maximal, complemented
13	C₇₃×#3301	C₂	1	2	yes	maximal, complemented
14	C₇₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#3244	C₂	1	2	yes	maximal, complemented
16	C₇₃×#3237	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#3221	C₂	1	2	yes	maximal, complemented
18	C₇₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#3179	C₂	1	2	yes	maximal, complemented
20	C₇₃×#3167	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₃×#3137	C₂	1	2	yes	maximal, complemented
22	C₇₃×#3131	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
24	#562×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	#555×C₇₃	C₂²	1	2	yes	—
30	#555×C₇₃	C₂²	1	1	yes	characteristic
31	#554×C₇₃	—	2	1	no	—
32	#554×C₇₃	C₂²	1	1	yes	characteristic
33	#553×C₇₃	C₂²	1	2	yes	—
34	#552×C₇₃	—	2	1	no	—
35	#550×C₇₃	C₂²	1	1	yes	characteristic
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	2	no	—
44	#542×C₇₃	—	2	1	no	—
45	#542×C₇₃	C₂²	1	2	yes	—
46	#540×C₇₃	—	2	1	no	—
47	#540×C₇₃	C₂²	1	2	yes	—
48	#539×C₇₃	—	2	2	no	—
49	#537×C₇₃	—	2	1	no	—
50	#536×C₇₃	—	2	1	no	—
51	#536×C₇₃	C₂²	1	2	yes	—
52	#533×C₇₃	C₂²	1	1	yes	characteristic
53	#533×C₇₃	C₂²	1	1	yes	characteristic
54	#532×C₇₃	C₂²	1	1	yes	characteristic
55	#532×C₇₃	C₂²	1	1	yes	characteristic
56	#529×C₇₃	C₂²	1	1	yes	characteristic
57	#501×C₇₃	C₂²	1	2	yes	—
58	#498×C₇₃	C₂²	1	1	yes	characteristic
59	#496×C₇₃	C₂²	1	2	yes	—
60	#492×C₇₃	C₂²	1	1	yes	characteristic
61	#491×C₇₃	C₂²	1	2	yes	—
62	#491×C₇₃	C₂²	1	2	yes	—
63	#489×C₇₃	C₂²	1	2	yes	—
64	#489×C₇₃	C₂²	1	2	yes	—
65	#488×C₇₃	C₂²	1	2	yes	—
66	#488×C₇₃	C₂²	1	2	yes	—
67	#488×C₇₃	C₂²	1	2	yes	—
68	#487×C₇₃	C₂²	1	1	yes	characteristic
69	#487×C₇₃	C₂²	1	2	yes	—
70	#487×C₇₃	C₂²	1	1	yes	characteristic
71	#487×C₇₃	C₂²	1	1	yes	characteristic
72	#486×C₇₃	C₂²	1	1	yes	characteristic
73	#486×C₇₃	C₂²	1	1	yes	characteristic
74	#486×C₇₃	C₂²	1	1	yes	characteristic
75	#485×C₇₃	C₂²	1	2	yes	—
76	#485×C₇₃	C₂²	1	2	yes	—
77	#485×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	#477×C₇₃	C₂²	1	1	yes	characteristic
84	#477×C₇₃	C₂²	1	1	yes	characteristic
85	#476×C₇₃	C₂²	1	2	yes	—
86	#475×C₇₃	C₂²	1	1	yes	characteristic
87	#475×C₇₃	C₂²	1	1	yes	characteristic
88	#475×C₇₃	C₂²	1	2	yes	—
89	#469×C₇₃	C₂²	1	2	yes	—
90	#468×C₇₃	C₂²	1	2	yes	—
91	#466×C₇₃	C₂²	1	2	yes	—
92	#465×C₇₃	C₂²	1	2	yes	—
93	#465×C₇₃	C₂²	1	1	yes	characteristic
94	#465×C₇₃	C₂²	1	1	yes	characteristic
95	#465×C₇₃	C₂²	1	1	yes	characteristic
96	#465×C₇₃	C₂²	1	1	yes	characteristic
97	#463×C₇₃	C₂²	1	2	yes	—
98	#463×C₇₃	C₂²	1	2	yes	—
99	#461×C₇₃	C₂²	1	1	yes	characteristic
100	#461×C₇₃	C₂²	1	1	yes	characteristic
101	#461×C₇₃	C₂²	1	2	yes	—
102	#461×C₇₃	C₂²	1	2	yes	—
103	#459×C₇₃	C₂²	1	1	yes	characteristic
104	#459×C₇₃	C₂²	1	1	yes	characteristic
105	#449×C₇₃	C₂²	1	2	yes	—
106	#449×C₇₃	C₂²	1	2	yes	—
107	#449×C₇₃	C₂²	1	2	yes	—
108	#449×C₇₃	C₂²	1	2	yes	—
109	#448×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	#440×C₇₃	C₂²	1	2	yes	—
115	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
116	C₄×SD₁₆×C₇₃	C₂²	1	2	yes	—
117	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
120	C₄×D₈×C₇₃	C₂²	1	2	yes	—
121	#436×C₇₃	C₂²	1	1	yes	characteristic
122	#435×C₇₃	C₂²	1	2	yes	—
123	C₈×D₄×C₇₃	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₇₃	C₂²	1	2	yes	—
125	#433×C₇₃	C₂²	1	2	yes	—
126	#432×C₇₃	C₂²	1	1	yes	characteristic
127	#419×C₇₃	C₂²	1	2	yes	—
128	#417×C₇₃	C₂²	1	2	yes	—
129	#416×C₇₃	C₂²	1	2	yes	—
130	#416×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	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
135	C₂×#41×C₇₃	—	2	1	no	—
136	C₂×#41×C₇₃	—	2	1	no	—
137	C₂×#41×C₇₃	C₂³	1	2	yes	—
138	C₂×#41×C₇₃	C₂³	1	2	yes	—
139	C₂²×Q₈×C₇₃	—	2	1	no	—
140	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
141	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
142	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
143	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
144	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
146	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
147	C₂×D₈×C₇₃	C₂³	1	2	yes	—
148	C₂×D₈×C₇₃	C₂³	1	2	yes	—
149	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
150	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
153	C₄⋊Q₈×C₇₃	—	2	2	no	—
154	C₄⋊Q₈×C₇₃	—	2	1	no	—
155	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
156	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
157	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
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	#127×C₇₃	—	2	1	no	—
164	#127×C₇₃	C₂³	1	1	yes	characteristic
165	#127×C₇₃	C₂³	1	1	yes	characteristic
166	#126×C₇₃	—	2	2	no	—
167	#126×C₇₃	—	2	2	no	—
168	#126×C₇₃	D₄	1	2	yes	—
169	#125×C₇₃	—	2	2	no	—
170	#125×C₇₃	—	2	1	no	—
171	#125×C₇₃	—	2	2	no	—
172	#125×C₇₃	—	2	1	no	—
173	#125×C₇₃	D₄	1	1	yes	characteristic
174	#125×C₇₃	C₂³	1	2	yes	—
175	#125×C₇₃	C₂³	1	2	yes	—
176	#124×C₇₃	—	2	1	no	—
177	#124×C₇₃	—	2	2	no	—
178	#124×C₇₃	—	2	2	no	—
179	#124×C₇₃	—	2	2	no	—
180	#124×C₇₃	—	2	2	no	—
181	#124×C₇₃	—	2	2	no	—
182	#124×C₇₃	—	2	1	no	—
183	#124×C₇₃	D₄	1	1	yes	characteristic
184	#124×C₇₃	C₂³	1	2	yes	—
185	#124×C₇₃	C₂³	1	2	yes	—
186	#123×C₇₃	—	2	2	no	—
187	#123×C₇₃	—	2	2	no	—
188	#123×C₇₃	—	2	2	no	—
189	#123×C₇₃	—	2	2	no	—
190	#123×C₇₃	—	2	2	no	—
191	#123×C₇₃	—	2	2	no	—
192	#123×C₇₃	—	2	2	no	—
193	#123×C₇₃	—	2	2	no	—
194	#123×C₇₃	—	2	2	no	—
195	#123×C₇₃	—	2	2	no	—
196	#123×C₇₃	D₄	1	2	yes	—
197	C₂²⋊Q₈×C₇₃	—	2	1	no	—
198	C₂²⋊Q₈×C₇₃	—	2	1	no	—
199	C₂²⋊Q₈×C₇₃	—	2	1	no	—
200	C₂²⋊Q₈×C₇₃	—	2	1	no	—
201	C₂²⋊Q₈×C₇₃	—	2	1	no	—
202	C₂²⋊Q₈×C₇₃	—	2	2	no	—
203	C₂²⋊Q₈×C₇₃	—	2	2	no	—
204	C₂²⋊Q₈×C₇₃	—	2	1	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	2	no	—
209	C₂²⋊Q₈×C₇₃	—	2	2	no	—
210	C₂²⋊Q₈×C₇₃	—	2	2	no	—
211	C₂²⋊Q₈×C₇₃	—	2	2	no	—
212	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
213	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
214	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
215	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
216	#121×C₇₃	—	2	1	no	—
217	#121×C₇₃	—	2	2	no	—
218	#121×C₇₃	—	2	2	no	—
219	#121×C₇₃	—	2	2	no	—
220	#121×C₇₃	—	2	2	no	—
221	#121×C₇₃	—	2	1	no	—
222	#121×C₇₃	—	2	1	no	—
223	#121×C₇₃	—	2	1	no	—
224	#121×C₇₃	—	2	2	no	—
225	#121×C₇₃	—	2	2	no	—
226	#121×C₇₃	—	2	2	no	—
227	#121×C₇₃	D₄	1	1	yes	characteristic
228	#121×C₇₃	C₂³	1	2	yes	—
229	#121×C₇₃	C₂³	1	2	yes	—
230	#121×C₇₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
241	C₄×D₄×C₇₃	—	2	1	no	—
242	C₄×D₄×C₇₃	—	2	1	no	—
243	C₄×D₄×C₇₃	—	2	1	no	—
244	C₄×D₄×C₇₃	—	2	2	no	—
245	C₄×D₄×C₇₃	—	2	2	no	—
246	C₄×D₄×C₇₃	—	2	1	no	—
247	C₄×D₄×C₇₃	—	2	1	no	—
248	C₄×D₄×C₇₃	—	2	1	no	—
249	C₄×D₄×C₇₃	C₂³	1	2	yes	—
250	C₄×D₄×C₇₃	C₂³	1	2	yes	—
251	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
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	#117×C₇₃	—	2	1	no	—
257	#117×C₇₃	—	2	1	no	—
258	#117×C₇₃	—	2	2	no	—
259	#117×C₇₃	C₂³	1	2	yes	—
260	#117×C₇₃	C₂³	1	2	yes	—
261	#117×C₇₃	C₂³	1	2	yes	—
262	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
263	C₂×C₄⋊C₄×C₇₃	—	2	2	no	—
264	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
265	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
266	#107×C₇₃	C₂³	1	2	yes	—
267	#107×C₇₃	C₂³	1	2	yes	—
268	#106×C₇₃	C₂³	1	1	yes	characteristic
269	#106×C₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
285	#103×C₇₃	C₂³	1	2	yes	—
286	#103×C₇₃	C₂³	1	2	yes	—
287	#103×C₇₃	C₂³	1	1	yes	characteristic
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	#102×C₇₃	C₂³	1	2	yes	—
293	#102×C₇₃	C₂³	1	2	yes	—
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	1	yes	characteristic
299	#102×C₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
306	#97×C₇₃	C₂³	1	2	yes	—
307	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
308	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
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	#41×C₇₃	—	8	2	no	—
318	C₂×Q₈×C₇₃	—	2	1	no	—
319	C₂×Q₈×C₇₃	—	2	1	no	—
320	C₂×Q₈×C₇₃	—	2	1	no	—
321	C₂×Q₈×C₇₃	—	2	2	no	—
322	C₂×Q₈×C₇₃	—	2	2	no	—
323	C₂×Q₈×C₇₃	—	2	1	no	—
324	C₂×Q₈×C₇₃	—	4	2	no	—
325	C₂×Q₈×C₇₃	—	4	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×D₄×C₇₃	—	2	2	no	—
332	C₂×D₄×C₇₃	—	2	2	no	—
333	C₂×D₄×C₇₃	—	2	2	no	—
334	C₂×D₄×C₇₃	—	2	1	no	—
335	C₂×D₄×C₇₃	—	2	2	no	—
336	C₂×D₄×C₇₃	—	2	1	no	—
337	C₂×D₄×C₇₃	—	2	2	no	—
338	C₂×D₄×C₇₃	—	2	1	no	—
339	C₂×D₄×C₇₃	—	2	1	no	—
340	C₂×D₄×C₇₃	—	2	1	no	—
341	C₂×D₄×C₇₃	—	2	1	no	—
342	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
343	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
345	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₇₃	—	2	2	no	—
348	C₂²×C₄×C₇₃	—	2	2	no	—
349	C₂²×C₄×C₇₃	—	2	1	no	—
350	C₂²×C₄×C₇₃	—	2	1	no	—
351	C₂²×C₄×C₇₃	—	2	2	no	—
352	C₂²×C₄×C₇₃	—	2	2	no	—
353	C₂²×C₄×C₇₃	—	2	2	no	—
354	C₂²×C₄×C₇₃	—	2	2	no	—
355	C₂²×C₄×C₇₃	—	2	2	no	—
356	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
360	SD₁₆×C₇₃	—	4	2	no	—
361	SD₁₆×C₇₃	—	4	1	no	—
362	SD₁₆×C₇₃	—	4	1	no	—
363	SD₁₆×C₇₃	—	4	1	no	—
364	SD₁₆×C₇₃	—	4	1	no	—
365	SD₁₆×C₇₃	—	4	2	no	—
366	D₈×C₇₃	—	4	2	no	—
367	D₈×C₇₃	—	4	2	no	—
368	M₁₆×C₇₃	—	4	2	no	—
369	C₂×C₈×C₇₃	—	4	2	no	—
370	C₂×C₈×C₇₃	—	4	1	no	—
371	C₂×C₈×C₇₃	—	4	1	no	—
372	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
377	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
378	C₄⋊C₄×C₇₃	—	2	1	no	—
379	C₄⋊C₄×C₇₃	—	2	1	no	—
380	C₄⋊C₄×C₇₃	—	2	2	no	—
381	C₄⋊C₄×C₇₃	—	2	2	no	—
382	C₄⋊C₄×C₇₃	—	2	2	no	—
383	C₄⋊C₄×C₇₃	—	2	2	no	—
384	C₄⋊C₄×C₇₃	—	2	2	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	1	no	—
389	C₄⋊C₄×C₇₃	—	2	1	no	—
390	C₄⋊C₄×C₇₃	—	2	1	no	—
391	C₄⋊C₄×C₇₃	—	2	2	no	—
392	C₄⋊C₄×C₇₃	—	2	2	no	—
393	C₄⋊C₄×C₇₃	—	2	2	no	—
394	C₄⋊C₄×C₇₃	—	2	1	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	1	yes	characteristic
402	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
403	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
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	1	yes	characteristic
409	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
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	2	no	—
416	C₂²⋊C₄×C₇₃	—	2	2	no	—
417	C₂²⋊C₄×C₇₃	—	2	1	no	—
418	C₂²⋊C₄×C₇₃	—	2	2	no	—
419	C₂²⋊C₄×C₇₃	—	2	2	no	—
420	C₂²⋊C₄×C₇₃	—	2	1	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	2	no	—
426	C₂²⋊C₄×C₇₃	—	2	2	no	—
427	C₂²⋊C₄×C₇₃	—	2	1	no	—
428	C₂²⋊C₄×C₇₃	—	2	2	no	—
429	C₂²⋊C₄×C₇₃	—	2	1	no	—
430	C₂²⋊C₄×C₇₃	—	2	2	no	—
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	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
436	C₄²×C₇₃	—	2	2	no	—
437	C₄²×C₇₃	—	2	2	no	—
438	C₄²×C₇₃	—	2	1	no	—
439	C₄²×C₇₃	—	2	1	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	—	2	1	no	—
449	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
450	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
451	Q₈×C₇₃	—	2	2	no	—
452	Q₈×C₇₃	—	2	1	no	—
453	Q₈×C₇₃	—	2	1	no	—
454	Q₈×C₇₃	—	2	2	no	—
455	Q₈×C₇₃	—	2	2	no	—
456	Q₈×C₇₃	—	2	1	no	—
457	Q₈×C₇₃	—	2	1	no	—
458	Q₈×C₇₃	—	4	2	no	—
459	Q₈×C₇₃	—	8	1	no	—
460	Q₈×C₇₃	—	8	1	no	—
461	Q₈×C₇₃	—	8	2	no	—
462	Q₈×C₇₃	—	8	2	no	—
463	Q₈×C₇₃	—	8	1	no	—
464	D₄×C₇₃	—	2	2	no	—
465	D₄×C₇₃	—	2	1	no	—
466	D₄×C₇₃	—	2	1	no	—
467	D₄×C₇₃	—	2	2	no	—
468	D₄×C₇₃	—	2	2	no	—
469	D₄×C₇₃	—	2	1	no	—
470	D₄×C₇₃	—	2	1	no	—
471	D₄×C₇₃	—	4	2	no	—
472	D₄×C₇₃	—	4	2	no	—
473	D₄×C₇₃	—	8	1	no	—
474	D₄×C₇₃	—	8	1	no	—
475	D₄×C₇₃	—	8	1	no	—
476	D₄×C₇₃	—	8	2	no	—
477	D₄×C₇₃	—	8	2	no	—
478	D₄×C₇₃	—	8	2	no	—
479	D₄×C₇₃	—	8	2	no	—
480	D₄×C₇₃	—	8	1	no	—
481	D₄×C₇₃	—	8	1	no	—
482	D₄×C₇₃	—	8	2	no	—
483	C₂×C₄×C₇₃	—	2	2	no	—
484	C₂×C₄×C₇₃	—	2	2	no	—
485	C₂×C₄×C₇₃	—	2	1	no	—
486	C₂×C₄×C₇₃	—	2	1	no	—
487	C₂×C₄×C₇₃	—	2	2	no	—
488	C₂×C₄×C₇₃	—	2	1	no	—
489	C₂×C₄×C₇₃	—	2	2	no	—
490	C₂×C₄×C₇₃	—	2	1	no	—
491	C₂×C₄×C₇₃	—	2	1	no	—
492	C₂×C₄×C₇₃	—	2	1	no	—
493	C₂×C₄×C₇₃	—	2	2	no	—
494	C₂×C₄×C₇₃	—	2	2	no	—
495	C₂×C₄×C₇₃	—	2	1	no	—
496	C₂×C₄×C₇₃	—	2	1	no	—
497	C₂×C₄×C₇₃	—	4	1	no	—
498	C₂×C₄×C₇₃	—	4	2	no	—
499	C₂×C₄×C₇₃	—	4	2	no	—
500	C₂×C₄×C₇₃	—	8	2	no	—
501	C₂×C₄×C₇₃	—	8	2	no	—
502	C₂×C₄×C₇₃	—	8	2	no	—
503	C₂×C₄×C₇₃	—	8	2	no	—
504	C₂×C₄×C₇₃	—	8	2	no	—
505	C₂×C₄×C₇₃	—	8	2	no	—
506	C₂×C₄×C₇₃	—	8	2	no	—
507	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
514	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
516	C₈×C₇₃	—	2	1	no	—
517	C₈×C₇₃	—	2	1	no	—
518	C₈×C₇₃	—	2	2	no	—
519	C₈×C₇₃	—	2	1	no	—
520	C₈×C₇₃	—	2	1	no	—
521	C₈×C₇₃	—	2	2	no	—
522	C₂²×C₇₃	—	2	1	no	—
523	C₂²×C₇₃	—	2	2	no	—
524	C₂²×C₇₃	—	2	2	no	—
525	C₂²×C₇₃	—	2	1	no	—
526	C₂²×C₇₃	—	2	1	no	—
527	C₂²×C₇₃	—	2	2	no	—
528	C₂²×C₇₃	—	4	1	no	—
529	C₂²×C₇₃	—	4	2	no	—
530	C₂²×C₇₃	—	4	1	no	—
531	C₂²×C₇₃	—	4	2	no	—
532	C₂²×C₇₃	—	4	1	no	—
533	C₂²×C₇₃	—	4	1	no	—
534	C₂²×C₇₃	—	4	1	no	—
535	C₂²×C₇₃	—	4	1	no	—
536	C₂²×C₇₃	—	4	2	no	—
537	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
538	C₄×C₇₃	—	2	1	no	—
539	C₄×C₇₃	—	2	1	no	—
540	C₄×C₇₃	—	2	2	no	—
541	C₄×C₇₃	—	2	1	no	—
542	C₄×C₇₃	—	2	2	no	—
543	C₄×C₇₃	—	2	1	no	—
544	C₄×C₇₃	—	2	2	no	—
545	C₄×C₇₃	—	4	1	no	—
546	C₄×C₇₃	—	4	2	no	—
547	C₄×C₇₃	—	4	1	no	—
548	C₄×C₇₃	—	4	1	no	—
549	C₄×C₇₃	—	4	2	no	—
550	C₄×C₇₃	—	4	1	no	—
551	C₄×C₇₃	—	4	1	no	—
552	C₄×C₇₃	—	4	1	no	—
553	C₄×C₇₃	—	4	2	no	—
554	C₄×C₇₃	#577	1	2	yes	—
555	C₄×C₇₃	#585	1	1	yes	characteristic
556	C₄×C₇₃	#585	1	1	yes	characteristic
557	#62562	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
558	C₂×C₇₃	—	4	1	no	—
559	C₂×C₇₃	—	4	2	no	—
560	C₂×C₇₃	—	8	1	no	—
561	C₂×C₇₃	—	8	2	no	—
562	C₂×C₇₃	—	8	1	no	—
563	C₂×C₇₃	#3500	1	1	yes	characteristic
564	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
565	C₂×C₇₃	#3584	1	1	yes	characteristic
566	#3554	C₂×C₇₃	1	1	yes	characteristic, complemented
567	#3547	C₂×C₇₃	1	1	yes	characteristic, complemented
568	#3373	C₂×C₇₃	1	1	yes	characteristic, complemented
569	#3372	C₂×C₇₃	1	1	yes	characteristic, complemented
570	#3361	C₂×C₇₃	1	1	yes	characteristic, complemented
571	#3359	C₂×C₇₃	1	1	yes	characteristic, complemented
572	#3332	C₂×C₇₃	1	1	yes	characteristic, complemented
573	#3329	C₂×C₇₃	1	1	yes	characteristic, complemented
574	#3321	C₂×C₇₃	1	2	yes	complemented
575	#3307	C₂×C₇₃	1	2	yes	complemented
576	#3305	C₂×C₇₃	1	1	yes	characteristic, complemented
577	#3303	C₂×C₇₃	1	2	yes	complemented
578	#3301	C₂×C₇₃	1	2	yes	complemented
579	#3298	C₂×C₇₃	1	1	yes	characteristic, complemented
580	#3244	C₂×C₇₃	1	2	yes	complemented
581	#3237	C₂×C₇₃	1	1	yes	characteristic, complemented
582	#3221	C₂×C₇₃	1	2	yes	complemented
583	#3214	C₂×C₇₃	1	1	yes	characteristic, complemented
584	#3179	C₂×C₇₃	1	2	yes	complemented
585	#3167	C₂×C₇₃	1	1	yes	characteristic, complemented
586	#3137	C₂×C₇₃	1	2	yes	complemented
587	#3131	C₂×C₇₃	1	1	yes	characteristic, complemented
588	#2966	C₂×C₇₃	1	1	yes	characteristic, complemented
589	C₇₃	#62562	1	1	yes	characteristic, direct product factor, Sylow
590	#562	—	2	2	no	—
591	#562	—	2	2	no	—
592	#559	—	2	1	no	—
593	#559	C₂²×C₇₃	1	1	yes	characteristic
594	#557	C₂²×C₇₃	1	1	yes	characteristic
595	#555	C₂²×C₇₃	1	1	yes	characteristic
596	#555	C₂²×C₇₃	1	2	yes	—
597	#554	—	2	1	no	—
598	#554	C₂²×C₇₃	1	1	yes	characteristic
599	#553	C₂²×C₇₃	1	2	yes	—
600	#552	—	2	1	no	—
601	#550	C₂²×C₇₃	1	1	yes	characteristic
602	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
603	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
604	#548	—	2	1	no	—
605	#548	C₂²×C₇₃	1	2	yes	—
606	#547	C₂²×C₇₃	1	2	yes	—
607	#547	C₂²×C₇₃	1	1	yes	characteristic
608	#544	C₂²×C₇₃	1	2	yes	—
609	#542	—	2	2	no	—
610	#542	—	2	1	no	—
611	#542	C₂²×C₇₃	1	2	yes	—
612	#540	—	2	1	no	—
613	#540	C₂²×C₇₃	1	2	yes	—
614	#539	—	2	2	no	—
615	#537	—	2	1	no	—
616	#536	—	2	1	no	—
617	#536	C₂²×C₇₃	1	2	yes	—
618	#533	C₂²×C₇₃	1	1	yes	characteristic
619	#533	C₂²×C₇₃	1	1	yes	characteristic
620	#532	C₂²×C₇₃	1	1	yes	characteristic
621	#532	C₂²×C₇₃	1	1	yes	characteristic
622	#529	C₂²×C₇₃	1	1	yes	characteristic
623	#501	C₂²×C₇₃	1	2	yes	—
624	#498	C₂²×C₇₃	1	1	yes	characteristic
625	#496	C₂²×C₇₃	1	2	yes	—
626	#492	C₂²×C₇₃	1	1	yes	characteristic
627	#491	C₂²×C₇₃	1	2	yes	—
628	#491	C₂²×C₇₃	1	2	yes	—
629	#489	C₂²×C₇₃	1	2	yes	—
630	#489	C₂²×C₇₃	1	2	yes	—
631	#488	C₂²×C₇₃	1	2	yes	—
632	#488	C₂²×C₇₃	1	2	yes	—
633	#488	C₂²×C₇₃	1	2	yes	—
634	#487	C₂²×C₇₃	1	1	yes	characteristic
635	#487	C₂²×C₇₃	1	1	yes	characteristic
636	#487	C₂²×C₇₃	1	2	yes	—
637	#487	C₂²×C₇₃	1	1	yes	characteristic
638	#486	C₂²×C₇₃	1	1	yes	characteristic
639	#486	C₂²×C₇₃	1	1	yes	characteristic
640	#486	C₂²×C₇₃	1	1	yes	characteristic
641	#485	C₂²×C₇₃	1	2	yes	—
642	#485	C₂²×C₇₃	1	2	yes	—
643	#485	C₂²×C₇₃	1	2	yes	—
644	#483	C₂²×C₇₃	1	2	yes	—
645	#482	C₂²×C₇₃	1	2	yes	—
646	#481	C₂²×C₇₃	1	2	yes	—
647	#479	C₂²×C₇₃	1	2	yes	—
648	#478	C₂²×C₇₃	1	2	yes	—
649	#477	C₂²×C₇₃	1	1	yes	characteristic
650	#477	C₂²×C₇₃	1	1	yes	characteristic
651	#476	C₂²×C₇₃	1	2	yes	—
652	#475	C₂²×C₇₃	1	1	yes	characteristic
653	#475	C₂²×C₇₃	1	2	yes	—
654	#475	C₂²×C₇₃	1	1	yes	characteristic
655	#469	C₂²×C₇₃	1	2	yes	—
656	#468	C₂²×C₇₃	1	2	yes	—
657	#466	C₂²×C₇₃	1	2	yes	—
658	#465	C₂²×C₇₃	1	1	yes	characteristic
659	#465	C₂²×C₇₃	1	1	yes	characteristic
660	#465	C₂²×C₇₃	1	1	yes	characteristic
661	#465	C₂²×C₇₃	1	1	yes	characteristic
662	#465	C₂²×C₇₃	1	2	yes	—
663	#463	C₂²×C₇₃	1	2	yes	—
664	#463	C₂²×C₇₃	1	2	yes	—
665	#461	C₂²×C₇₃	1	1	yes	characteristic
666	#461	C₂²×C₇₃	1	2	yes	—
667	#461	C₂²×C₇₃	1	1	yes	characteristic
668	#461	C₂²×C₇₃	1	2	yes	—
669	#459	C₂²×C₇₃	1	1	yes	characteristic
670	#459	C₂²×C₇₃	1	1	yes	characteristic
671	#449	C₂²×C₇₃	1	2	yes	—
672	#449	C₂²×C₇₃	1	2	yes	—
673	#449	C₂²×C₇₃	1	2	yes	—
674	#449	C₂²×C₇₃	1	2	yes	—
675	#448	C₂²×C₇₃	1	2	yes	—
676	#448	C₂²×C₇₃	1	2	yes	—
677	#446	C₂²×C₇₃	1	1	yes	characteristic
678	C₈×Q₈	C₂²×C₇₃	1	1	yes	characteristic
679	#442	C₂²×C₇₃	1	2	yes	—
680	#440	C₂²×C₇₃	1	2	yes	—
681	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic
682	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic
683	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic
684	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	—
685	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic
686	C₄×D₈	C₂²×C₇₃	1	2	yes	—
687	#436	C₂²×C₇₃	1	1	yes	characteristic
688	#435	C₂²×C₇₃	1	2	yes	—
689	C₈×D₄	C₂²×C₇₃	1	1	yes	characteristic
690	C₈×D₄	C₂²×C₇₃	1	2	yes	—
691	#433	C₂²×C₇₃	1	2	yes	—
692	#432	C₂²×C₇₃	1	1	yes	characteristic
693	#419	C₂²×C₇₃	1	2	yes	—
694	#417	C₂²×C₇₃	1	2	yes	—
695	#416	C₂²×C₇₃	1	2	yes	—
696	#416	C₂²×C₇₃	1	2	yes	—
697	#416	C₂²×C₇₃	1	2	yes	—
698	C₂×#103	C₂²×C₇₃	1	2	yes	—
699	#405	C₂²×C₇₃	1	2	yes	—
700	C₂×C₄×C₈	C₂²×C₇₃	1	1	yes	characteristic
701	C₂×#41	—	2	1	no	—
702	C₂×#41	—	2	1	no	—
703	C₂×#41	C₂³×C₇₃	1	2	yes	—
704	C₂×#41	C₂³×C₇₃	1	2	yes	—
705	C₂²×Q₈	—	2	1	no	—
706	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
708	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
709	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
710	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
711	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
712	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
713	C₂×D₈	C₂³×C₇₃	1	2	yes	—
714	C₂×D₈	C₂³×C₇₃	1	2	yes	—
715	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
716	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
717	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
718	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
719	C₄⋊Q₈	—	2	2	no	—
720	C₄⋊Q₈	—	2	1	no	—
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	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
725	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
726	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
727	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
728	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
729	#127	—	2	1	no	—
730	#127	C₂³×C₇₃	1	1	yes	characteristic
731	#127	C₂³×C₇₃	1	1	yes	characteristic
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#126	D₄×C₇₃	1	2	yes	—
735	#125	—	2	2	no	—
736	#125	—	2	1	no	—
737	#125	—	2	2	no	—
738	#125	—	2	1	no	—
739	#125	D₄×C₇₃	1	1	yes	characteristic
740	#125	C₂³×C₇₃	1	2	yes	—
741	#125	C₂³×C₇₃	1	2	yes	—
742	#124	—	2	1	no	—
743	#124	—	2	2	no	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#124	—	2	2	no	—
747	#124	—	2	2	no	—
748	#124	—	2	1	no	—
749	#124	D₄×C₇₃	1	1	yes	characteristic
750	#124	C₂³×C₇₃	1	2	yes	—
751	#124	C₂³×C₇₃	1	2	yes	—
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	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	D₄×C₇₃	1	2	yes	—
763	C₂²⋊Q₈	—	2	1	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	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	1	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	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	D₄×C₇₃	1	1	yes	characteristic
779	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
780	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
781	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
782	#121	—	2	1	no	—
783	#121	—	2	2	no	—
784	#121	—	2	2	no	—
785	#121	—	2	2	no	—
786	#121	—	2	2	no	—
787	#121	—	2	1	no	—
788	#121	—	2	1	no	—
789	#121	—	2	1	no	—
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	—	2	2	no	—
793	#121	D₄×C₇₃	1	1	yes	characteristic
794	#121	C₂³×C₇₃	1	1	yes	characteristic
795	#121	C₂³×C₇₃	1	1	yes	characteristic
796	#121	C₂³×C₇₃	1	2	yes	—
797	#121	C₂³×C₇₃	1	2	yes	—
798	#121	C₂³×C₇₃	1	2	yes	—
799	C₄×Q₈	—	2	1	no	—
800	C₄×Q₈	—	2	1	no	—
801	C₄×Q₈	—	2	1	no	—
802	C₄×Q₈	—	2	1	no	—
803	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
804	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
805	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
806	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
817	C₄×D₄	C₂³×C₇₃	1	2	yes	—
818	C₄×D₄	C₂³×C₇₃	1	2	yes	—
819	C₄×D₄	C₂³×C₇₃	1	2	yes	—
820	C₄×D₄	C₂³×C₇₃	1	2	yes	—
821	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
822	#117	—	2	1	no	—
823	#117	—	2	1	no	—
824	#117	—	2	2	no	—
825	#117	C₂³×C₇₃	1	2	yes	—
826	#117	C₂³×C₇₃	1	2	yes	—
827	#117	C₂³×C₇₃	1	2	yes	—
828	C₂×C₄⋊C₄	—	2	1	no	—
829	C₂×C₄⋊C₄	—	2	2	no	—
830	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
831	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
832	#107	C₂³×C₇₃	1	2	yes	—
833	#107	C₂³×C₇₃	1	2	yes	—
834	#106	C₂³×C₇₃	1	1	yes	characteristic
835	#106	C₂³×C₇₃	1	1	yes	characteristic
836	#106	C₂³×C₇₃	1	1	yes	characteristic
837	#106	C₂³×C₇₃	1	1	yes	characteristic
838	#106	C₂³×C₇₃	1	2	yes	—
839	#106	C₂³×C₇₃	1	2	yes	—
840	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
841	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
842	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
843	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
844	#103	C₂³×C₇₃	1	1	yes	characteristic
845	#103	C₂³×C₇₃	1	2	yes	—
846	#103	C₂³×C₇₃	1	2	yes	—
847	#103	C₂³×C₇₃	1	2	yes	—
848	#103	C₂³×C₇₃	1	1	yes	characteristic
849	#103	C₂³×C₇₃	1	2	yes	—
850	#103	C₂³×C₇₃	1	2	yes	—
851	#103	C₂³×C₇₃	1	2	yes	—
852	#103	C₂³×C₇₃	1	2	yes	—
853	#103	C₂³×C₇₃	1	1	yes	characteristic
854	#103	C₂³×C₇₃	1	2	yes	—
855	#103	C₂³×C₇₃	1	1	yes	characteristic
856	#103	C₂³×C₇₃	1	2	yes	—
857	#103	C₂³×C₇₃	1	2	yes	—
858	#102	C₂³×C₇₃	1	2	yes	—
859	#102	C₂³×C₇₃	1	2	yes	—
860	#102	C₂³×C₇₃	1	2	yes	—
861	#102	C₂³×C₇₃	1	2	yes	—
862	#102	C₂³×C₇₃	1	2	yes	—
863	#102	C₂³×C₇₃	1	2	yes	—
864	#102	C₂³×C₇₃	1	1	yes	characteristic
865	#102	C₂³×C₇₃	1	1	yes	characteristic
866	#102	C₂³×C₇₃	1	1	yes	characteristic
867	#102	C₂³×C₇₃	1	1	yes	characteristic
868	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
871	#97	C₂³×C₇₃	1	2	yes	—
872	#97	C₂³×C₇₃	1	2	yes	—
873	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
874	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
875	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
876	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
877	C₄×C₈	C₂³×C₇₃	1	2	yes	—
878	#41	—	4	2	no	—
879	#41	—	4	2	no	—
880	#41	—	4	2	no	—
881	#41	—	4	2	no	—
882	#41	—	8	2	no	—
883	#41	—	8	2	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	1	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	2	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	1	no	—
890	C₂×Q₈	—	4	2	no	—
891	C₂×Q₈	—	4	2	no	—
892	C₂×Q₈	—	8	2	no	—
893	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
894	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
896	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
909	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
910	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
911	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
912	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
923	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
924	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
925	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
926	SD₁₆	—	4	2	no	—
927	SD₁₆	—	4	1	no	—
928	SD₁₆	—	4	1	no	—
929	SD₁₆	—	4	1	no	—
930	SD₁₆	—	4	1	no	—
931	SD₁₆	—	4	2	no	—
932	D₈	—	4	2	no	—
933	D₈	—	4	2	no	—
934	M₁₆	—	4	2	no	—
935	C₂×C₈	—	4	2	no	—
936	C₂×C₈	—	4	1	no	—
937	C₂×C₈	—	4	1	no	—
938	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
941	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
942	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
943	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
967	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
970	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
971	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
974	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
976	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	2	1	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	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
998	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
999	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1000	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1001	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1008	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
1009	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1010	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1011	C₄²	C₂⁴×C₇₃	1	2	yes	—
1012	C₂³	—	2	2	no	—
1013	C₂³	—	2	1	no	—
1014	C₂³	—	2	1	no	—
1015	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1016	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1017	Q₈	—	2	2	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	2	1	no	—
1020	Q₈	—	2	2	no	—
1021	Q₈	—	2	2	no	—
1022	Q₈	—	2	1	no	—
1023	Q₈	—	2	1	no	—
1024	Q₈	—	4	2	no	—
1025	Q₈	—	8	2	no	—
1026	Q₈	—	8	2	no	—
1027	Q₈	—	8	1	no	—
1028	Q₈	—	8	1	no	—
1029	Q₈	—	8	1	no	—
1030	D₄	—	2	2	no	—
1031	D₄	—	2	1	no	—
1032	D₄	—	2	1	no	—
1033	D₄	—	2	2	no	—
1034	D₄	—	2	2	no	—
1035	D₄	—	2	1	no	—
1036	D₄	—	2	1	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	8	1	no	—
1040	D₄	—	8	1	no	—
1041	D₄	—	8	1	no	—
1042	D₄	—	8	2	no	—
1043	D₄	—	8	2	no	—
1044	D₄	—	8	1	no	—
1045	D₄	—	8	1	no	—
1046	D₄	—	8	2	no	—
1047	D₄	—	8	2	no	—
1048	D₄	—	8	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	2	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	2	no	—
1070	C₂×C₄	—	8	2	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	—	8	2	no	—
1073	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1075	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1076	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1077	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1078	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1079	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1080	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1081	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
1082	C₈	—	2	1	no	—
1083	C₈	—	2	1	no	—
1084	C₈	—	2	2	no	—
1085	C₈	—	2	1	no	—
1086	C₈	—	2	1	no	—
1087	C₈	—	2	2	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	1	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	1	no	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	2	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1104	C₄	—	2	1	no	—
1105	C₄	—	2	2	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	2	1	no	—
1109	C₄	—	2	1	no	—
1110	C₄	—	2	2	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	2	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	1	no	—
1120	C₄	#577×C₇₃	1	2	yes	—
1121	C₄	#585×C₇₃	1	1	yes	characteristic
1122	C₄	#585×C₇₃	1	1	yes	characteristic
1123	C₂	—	4	2	no	—
1124	C₂	—	4	1	no	—
1125	C₂	—	8	2	no	—
1126	C₂	—	8	1	no	—
1127	C₂	—	8	1	no	—
1128	C₂	C₇₃×#3500	1	1	yes	characteristic
1129	C₂	C₂×#577×C₇₃	1	1	yes	characteristic
1130	C₂	C₇₃×#3584	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×#3547	C₂	semidirect
3. C₇₃×#3373	C₂	semidirect
4. C₇₃×#3372	C₂	semidirect
5. C₇₃×#3361	C₂	semidirect
6. C₇₃×#3359	C₂	semidirect
7. C₇₃×#3332	C₂	semidirect
8. C₇₃×#3329	C₂	semidirect
9. C₇₃×#3321	C₂	semidirect
10. C₇₃×#3307	C₂	semidirect
11. C₇₃×#3305	C₂	semidirect
12. C₇₃×#3303	C₂	semidirect
13. C₇₃×#3301	C₂	semidirect
14. C₇₃×#3298	C₂	semidirect
15. C₇₃×#3244	C₂	semidirect
16. C₇₃×#3237	C₂	semidirect
17. C₇₃×#3221	C₂	semidirect
18. C₇₃×#3214	C₂	semidirect
19. C₇₃×#3179	C₂	semidirect
20. C₇₃×#3167	C₂	semidirect
21. C₇₃×#3137	C₂	semidirect
22. C₇₃×#3131	C₂	semidirect
23. C₇₃×#2966	C₂	semidirect
557. #62562	C₇₃	direct (N × H)
566. #3554	C₂×C₇₃	semidirect
567. #3547	C₂×C₇₃	semidirect
568. #3373	C₂×C₇₃	semidirect
569. #3372	C₂×C₇₃	semidirect
570. #3361	C₂×C₇₃	semidirect
571. #3359	C₂×C₇₃	semidirect
572. #3332	C₂×C₇₃	semidirect
573. #3329	C₂×C₇₃	semidirect
574. #3321	C₂×C₇₃	semidirect
575. #3307	C₂×C₇₃	semidirect
576. #3305	C₂×C₇₃	semidirect
577. #3303	C₂×C₇₃	semidirect
578. #3301	C₂×C₇₃	semidirect
579. #3298	C₂×C₇₃	semidirect
580. #3244	C₂×C₇₃	semidirect
581. #3237	C₂×C₇₃	semidirect
582. #3221	C₂×C₇₃	semidirect
583. #3214	C₂×C₇₃	semidirect
584. #3179	C₂×C₇₃	semidirect
585. #3167	C₂×C₇₃	semidirect
586. #3137	C₂×C₇₃	semidirect
587. #3131	C₂×C₇₃	semidirect
588. #2966	C₂×C₇₃	semidirect
589. C₇₃	#62562	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×#3547	2
C₇₃×#3373	2
C₇₃×#3372	2
C₇₃×#3361	2
C₇₃×#3359	2
C₇₃×#3332	2
C₇₃×#3329	2
C₇₃×#3321	2
C₇₃×#3307	2
C₇₃×#3305	2
C₇₃×#3303	2
C₇₃×#3301	2
C₇₃×#3298	2
C₇₃×#3244	2
C₇₃×#3237	2
C₇₃×#3221	2
C₇₃×#3214	2
C₇₃×#3179	2
C₇₃×#3167	2
C₇₃×#3137	2
C₇₃×#3131	2
C₇₃×#2966	2
#62562	73

Subgroups — C73×#62562 #32971966

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#62562 #32971966