Subgroups — C₇₃×#62553 #32971957

Order 18688.

1698 conjugacy classes of subgroups.

The subgroup lattice has 1110 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3552	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×#3367	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#3359	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#3320	C₂	1	2	yes	maximal, complemented
10	C₇₃×#3316	C₂	1	2	yes	maximal, complemented
11	C₇₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇₃×#3301	C₂	1	2	yes	maximal, complemented
13	C₇₃×#3299	C₂	1	2	yes	maximal, complemented
14	C₇₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#3242	C₂	1	2	yes	maximal, complemented
16	C₇₃×#3239	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#3225	C₂	1	2	yes	maximal, complemented
18	C₇₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#3178	C₂	1	2	yes	maximal, complemented
20	C₇₃×#3168	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇₃×#3137	C₂	1	2	yes	maximal, complemented
22	C₂×#487×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
24	#563×C₇₃	—	2	2	no	—
25	#563×C₇₃	—	2	2	no	—
26	#557×C₇₃	C₂²	1	1	yes	characteristic
27	#557×C₇₃	C₂²	1	1	yes	characteristic
28	#556×C₇₃	C₂²	1	1	yes	characteristic
29	#556×C₇₃	C₂²	1	1	yes	characteristic
30	#554×C₇₃	—	2	1	no	—
31	#554×C₇₃	C₂²	1	2	yes	—
32	#553×C₇₃	—	2	1	no	—
33	#553×C₇₃	C₂²	1	2	yes	—
34	D₄×Q₈×C₇₃	—	2	1	no	—
35	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
36	D₄×Q₈×C₇₃	C₂²	1	2	yes	—
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	1	yes	characteristic
41	#547×C₇₃	C₂²	1	1	yes	characteristic
42	#544×C₇₃	—	2	1	no	—
43	#544×C₇₃	C₂²	1	2	yes	—
44	#542×C₇₃	—	2	1	no	—
45	#542×C₇₃	C₂²	1	2	yes	—
46	#541×C₇₃	—	2	1	no	—
47	#541×C₇₃	C₂²	1	2	yes	—
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	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
53	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
54	#529×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	2	yes	—
58	#499×C₇₃	C₂²	1	1	yes	characteristic
59	#497×C₇₃	C₂²	1	2	yes	—
60	#495×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	1	yes	characteristic
67	#488×C₇₃	C₂²	1	1	yes	characteristic
68	#487×C₇₃	C₂²	1	2	yes	—
69	#487×C₇₃	C₂²	1	1	yes	characteristic
70	#487×C₇₃	C₂²	1	2	yes	—
71	#487×C₇₃	C₂²	1	1	yes	characteristic
72	#487×C₇₃	C₂²	1	1	yes	characteristic
73	#487×C₇₃	C₂²	1	1	yes	characteristic
74	#487×C₇₃	C₂²	1	2	yes	—
75	#485×C₇₃	C₂²	1	2	yes	—
76	#485×C₇₃	C₂²	1	2	yes	—
77	#484×C₇₃	C₂²	1	2	yes	—
78	#484×C₇₃	C₂²	1	2	yes	—
79	#483×C₇₃	C₂²	1	2	yes	—
80	#481×C₇₃	C₂²	1	2	yes	—
81	#479×C₇₃	C₂²	1	2	yes	—
82	#479×C₇₃	C₂²	1	2	yes	—
83	#477×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	2	yes	—
87	#474×C₇₃	C₂²	1	1	yes	characteristic
88	#474×C₇₃	C₂²	1	1	yes	characteristic
89	#470×C₇₃	C₂²	1	2	yes	—
90	#468×C₇₃	C₂²	1	2	yes	—
91	#467×C₇₃	C₂²	1	1	yes	characteristic
92	#467×C₇₃	C₂²	1	2	yes	—
93	#466×C₇₃	C₂²	1	1	yes	characteristic
94	#465×C₇₃	C₂²	1	2	yes	—
95	#465×C₇₃	C₂²	1	1	yes	characteristic
96	#465×C₇₃	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
101	#462×C₇₃	C₂²	1	2	yes	—
102	#461×C₇₃	C₂²	1	1	yes	characteristic
103	#461×C₇₃	C₂²	1	1	yes	characteristic
104	#461×C₇₃	C₂²	1	2	yes	—
105	#452×C₇₃	C₂²	1	2	yes	—
106	#451×C₇₃	C₂²	1	2	yes	—
107	#451×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	#441×C₇₃	C₂²	1	2	yes	—
114	#440×C₇₃	C₂²	1	2	yes	—
115	C₄×Q₁₆×C₇₃	C₂²	1	2	yes	—
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	1	yes	characteristic
120	C₄×D₈×C₇₃	C₂²	1	1	yes	characteristic
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	C₂×#103×C₇₃	C₂²	1	2	yes	—
131	C₂×#103×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	C₂³	1	2	yes	—
137	C₂²×Q₈×C₇₃	—	2	1	no	—
138	C₂²×Q₈×C₇₃	—	2	1	no	—
139	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
140	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
141	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
142	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	no	—
154	C₄⋊Q₈×C₇₃	—	2	1	no	—
155	C₄⋊Q₈×C₇₃	—	2	2	no	—
156	C₄⋊Q₈×C₇₃	—	2	2	no	—
157	C₄⋊Q₈×C₇₃	—	2	1	no	—
158	C₄⋊Q₈×C₇₃	—	2	1	no	—
159	C₄⋊Q₈×C₇₃	—	2	1	no	—
160	C₄⋊Q₈×C₇₃	—	2	1	no	—
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	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
167	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
168	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
169	#126×C₇₃	—	2	2	no	—
170	#126×C₇₃	—	2	2	no	—
171	#126×C₇₃	—	2	2	no	—
172	#126×C₇₃	—	2	2	no	—
173	#126×C₇₃	—	2	2	no	—
174	#126×C₇₃	—	2	2	no	—
175	#126×C₇₃	—	2	1	no	—
176	#126×C₇₃	—	2	1	no	—
177	#126×C₇₃	D₄	1	2	yes	—
178	#125×C₇₃	—	2	2	no	—
179	#125×C₇₃	—	2	2	no	—
180	#125×C₇₃	—	2	2	no	—
181	#125×C₇₃	—	2	2	no	—
182	#125×C₇₃	—	2	2	no	—
183	#125×C₇₃	—	2	2	no	—
184	#125×C₇₃	—	2	1	no	—
185	#125×C₇₃	D₄	1	1	yes	characteristic
186	#125×C₇₃	C₂³	1	2	yes	—
187	#125×C₇₃	C₂³	1	1	yes	characteristic
188	#125×C₇₃	C₂³	1	1	yes	characteristic
189	#124×C₇₃	—	2	1	no	—
190	#124×C₇₃	—	2	2	no	—
191	#124×C₇₃	—	2	2	no	—
192	#124×C₇₃	D₄	1	1	yes	characteristic
193	#124×C₇₃	C₂³	1	2	yes	—
194	#124×C₇₃	C₂³	1	1	yes	characteristic
195	#124×C₇₃	C₂³	1	1	yes	characteristic
196	#123×C₇₃	—	2	1	no	—
197	#123×C₇₃	—	2	1	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	—	2	2	no	—
203	#123×C₇₃	—	2	2	no	—
204	#123×C₇₃	D₄	1	2	yes	—
205	C₂²⋊Q₈×C₇₃	—	2	1	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	1	no	—
210	C₂²⋊Q₈×C₇₃	—	2	1	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	—	2	2	no	—
218	C₂²⋊Q₈×C₇₃	—	2	2	no	—
219	C₂²⋊Q₈×C₇₃	—	2	2	no	—
220	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
221	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
222	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
223	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
224	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
225	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
226	#121×C₇₃	—	2	2	no	—
227	#121×C₇₃	—	2	2	no	—
228	#121×C₇₃	—	2	1	no	—
229	#121×C₇₃	D₄	1	1	yes	characteristic
230	#121×C₇₃	C₂³	1	1	yes	characteristic
231	#121×C₇₃	C₂³	1	2	yes	—
232	#121×C₇₃	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
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×D₄×C₇₃	—	2	2	no	—
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	2	no	—
248	C₄×D₄×C₇₃	—	2	2	no	—
249	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₇₃	C₂³	1	2	yes	—
252	C₄×D₄×C₇₃	C₂³	1	2	yes	—
253	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
254	#117×C₇₃	—	2	1	no	—
255	#117×C₇₃	—	2	1	no	—
256	#117×C₇₃	—	2	1	no	—
257	#117×C₇₃	C₂³	1	2	yes	—
258	#117×C₇₃	C₂³	1	2	yes	—
259	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
260	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
261	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
262	C₂×C₄⋊C₄×C₇₃	—	2	1	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	#107×C₇₃	C₂³	1	2	yes	—
269	#107×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	2	yes	—
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	2	yes	—
288	#103×C₇₃	C₂³	1	2	yes	—
289	#103×C₇₃	C₂³	1	2	yes	—
290	#103×C₇₃	C₂³	1	2	yes	—
291	#103×C₇₃	C₂³	1	1	yes	characteristic
292	#103×C₇₃	C₂³	1	2	yes	—
293	#103×C₇₃	C₂³	1	2	yes	—
294	#103×C₇₃	C₂³	1	1	yes	characteristic
295	#103×C₇₃	C₂³	1	1	yes	characteristic
296	#102×C₇₃	C₂³	1	1	yes	characteristic
297	#102×C₇₃	C₂³	1	2	yes	—
298	#102×C₇₃	C₂³	1	1	yes	characteristic
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	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	—	8	2	no	—
315	C₂×Q₈×C₇₃	—	2	1	no	—
316	C₂×Q₈×C₇₃	—	2	1	no	—
317	C₂×Q₈×C₇₃	—	2	2	no	—
318	C₂×Q₈×C₇₃	—	2	2	no	—
319	C₂×Q₈×C₇₃	—	2	2	no	—
320	C₂×Q₈×C₇₃	—	2	2	no	—
321	C₂×Q₈×C₇₃	—	4	2	no	—
322	C₂×Q₈×C₇₃	—	4	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	2	yes	—
331	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₇₃	—	2	1	no	—
333	C₂×D₄×C₇₃	—	2	1	no	—
334	C₂×D₄×C₇₃	—	2	2	no	—
335	C₂×D₄×C₇₃	—	2	2	no	—
336	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₇₃	—	2	2	no	—
341	C₂²×C₄×C₇₃	—	2	2	no	—
342	C₂²×C₄×C₇₃	—	2	2	no	—
343	C₂²×C₄×C₇₃	—	2	2	no	—
344	C₂²×C₄×C₇₃	—	2	1	no	—
345	C₂²×C₄×C₇₃	—	2	1	no	—
346	C₂²×C₄×C₇₃	—	2	2	no	—
347	C₂²×C₄×C₇₃	—	2	2	no	—
348	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
352	Q₁₆×C₇₃	—	4	1	no	—
353	Q₁₆×C₇₃	—	4	2	no	—
354	Q₁₆×C₇₃	—	4	2	no	—
355	SD₁₆×C₇₃	—	4	1	no	—
356	SD₁₆×C₇₃	—	4	1	no	—
357	SD₁₆×C₇₃	—	4	2	no	—
358	SD₁₆×C₇₃	—	4	2	no	—
359	D₈×C₇₃	—	4	1	no	—
360	M₁₆×C₇₃	—	4	2	no	—
361	C₂×C₈×C₇₃	—	4	1	no	—
362	C₂×C₈×C₇₃	—	4	2	no	—
363	C₂×C₈×C₇₃	—	4	1	no	—
364	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
369	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
370	C₄⋊C₄×C₇₃	—	2	1	no	—
371	C₄⋊C₄×C₇₃	—	2	1	no	—
372	C₄⋊C₄×C₇₃	—	2	1	no	—
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	2	no	—
377	C₄⋊C₄×C₇₃	—	2	2	no	—
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	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	2	no	—
387	C₄⋊C₄×C₇₃	—	2	2	no	—
388	C₄⋊C₄×C₇₃	—	2	1	no	—
389	C₄⋊C₄×C₇₃	—	2	2	no	—
390	C₄⋊C₄×C₇₃	—	2	2	no	—
391	C₄⋊C₄×C₇₃	—	2	1	no	—
392	C₄⋊C₄×C₇₃	—	2	2	no	—
393	C₄⋊C₄×C₇₃	—	2	2	no	—
394	C₄⋊C₄×C₇₃	—	2	2	no	—
395	C₄⋊C₄×C₇₃	—	2	2	no	—
396	C₄⋊C₄×C₇₃	—	2	2	no	—
397	C₄⋊C₄×C₇₃	—	2	2	no	—
398	C₄⋊C₄×C₇₃	—	2	1	no	—
399	C₄⋊C₄×C₇₃	—	2	1	no	—
400	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
402	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
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	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	2	no	—
413	C₂²⋊C₄×C₇₃	—	2	1	no	—
414	C₂²⋊C₄×C₇₃	—	2	1	no	—
415	C₂²⋊C₄×C₇₃	—	2	2	no	—
416	C₂²⋊C₄×C₇₃	—	2	2	no	—
417	C₂²⋊C₄×C₇₃	—	2	2	no	—
418	C₂²⋊C₄×C₇₃	—	2	2	no	—
419	C₂²⋊C₄×C₇₃	—	2	1	no	—
420	C₂²⋊C₄×C₇₃	—	2	1	no	—
421	C₂²⋊C₄×C₇₃	—	2	1	no	—
422	C₂²⋊C₄×C₇₃	—	2	1	no	—
423	C₂²⋊C₄×C₇₃	—	2	2	no	—
424	C₂²⋊C₄×C₇₃	—	2	1	no	—
425	C₂²⋊C₄×C₇₃	—	2	2	no	—
426	C₂²⋊C₄×C₇₃	—	2	1	no	—
427	C₂²⋊C₄×C₇₃	—	2	2	no	—
428	C₂²⋊C₄×C₇₃	—	2	1	no	—
429	C₂²⋊C₄×C₇₃	—	2	1	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	2	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	1	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	2	no	—
453	Q₈×C₇₃	—	2	1	no	—
454	Q₈×C₇₃	—	2	2	no	—
455	Q₈×C₇₃	—	2	1	no	—
456	Q₈×C₇₃	—	2	1	no	—
457	Q₈×C₇₃	—	2	2	no	—
458	Q₈×C₇₃	—	2	2	no	—
459	Q₈×C₇₃	—	4	2	no	—
460	Q₈×C₇₃	—	4	2	no	—
461	Q₈×C₇₃	—	8	2	no	—
462	Q₈×C₇₃	—	8	2	no	—
463	Q₈×C₇₃	—	8	2	no	—
464	Q₈×C₇₃	—	8	2	no	—
465	D₄×C₇₃	—	2	4	no	—
466	D₄×C₇₃	—	2	2	no	—
467	D₄×C₇₃	—	2	1	no	—
468	D₄×C₇₃	—	2	1	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	2	no	—
474	D₄×C₇₃	—	8	2	no	—
475	C₂×C₄×C₇₃	—	2	2	no	—
476	C₂×C₄×C₇₃	—	2	2	no	—
477	C₂×C₄×C₇₃	—	2	1	no	—
478	C₂×C₄×C₇₃	—	2	1	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	2	no	—
487	C₂×C₄×C₇₃	—	2	2	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	—	4	2	no	—
492	C₂×C₄×C₇₃	—	4	2	no	—
493	C₂×C₄×C₇₃	—	8	2	no	—
494	C₂×C₄×C₇₃	—	8	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	C₂²×D₄	1	2	yes	—
500	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
501	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
502	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
504	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
508	C₈×C₇₃	—	2	1	no	—
509	C₈×C₇₃	—	2	1	no	—
510	C₈×C₇₃	—	2	1	no	—
511	C₈×C₇₃	—	2	1	no	—
512	C₈×C₇₃	—	2	2	no	—
513	C₈×C₇₃	—	2	2	no	—
514	C₂²×C₇₃	—	2	1	no	—
515	C₂²×C₇₃	—	2	1	no	—
516	C₂²×C₇₃	—	2	2	no	—
517	C₂²×C₇₃	—	2	2	no	—
518	C₂²×C₇₃	—	2	2	no	—
519	C₂²×C₇₃	—	4	1	no	—
520	C₂²×C₇₃	—	4	1	no	—
521	C₂²×C₇₃	—	4	1	no	—
522	C₂²×C₇₃	—	4	1	no	—
523	C₂²×C₇₃	—	4	1	no	—
524	C₂²×C₇₃	—	4	1	no	—
525	C₂²×C₇₃	#578	1	2	yes	—
526	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
527	C₄×C₇₃	—	2	2	no	—
528	C₄×C₇₃	—	2	1	no	—
529	C₄×C₇₃	—	2	1	no	—
530	C₄×C₇₃	—	2	2	no	—
531	C₄×C₇₃	—	2	1	no	—
532	C₄×C₇₃	—	2	1	no	—
533	C₄×C₇₃	—	2	2	no	—
534	C₄×C₇₃	—	4	2	no	—
535	C₄×C₇₃	—	4	1	no	—
536	C₄×C₇₃	—	4	2	no	—
537	C₄×C₇₃	—	4	1	no	—
538	C₄×C₇₃	—	4	1	no	—
539	C₄×C₇₃	—	4	1	no	—
540	C₄×C₇₃	—	4	2	no	—
541	C₄×C₇₃	—	4	2	no	—
542	C₄×C₇₃	—	4	1	no	—
543	C₄×C₇₃	—	4	1	no	—
544	C₄×C₇₃	#577	1	2	yes	—
545	C₄×C₇₃	#585	1	1	yes	characteristic
546	C₄×C₇₃	#585	1	1	yes	characteristic
547	#62553	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
548	C₂×C₇₃	—	2	2	no	—
549	C₂×C₇₃	—	4	2	no	—
550	C₂×C₇₃	—	8	1	no	—
551	C₂×C₇₃	—	8	1	no	—
552	C₂×C₇₃	#3500	1	1	yes	characteristic
553	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
554	C₂×C₇₃	C₂×#578	1	1	yes	characteristic
555	#3552	C₂×C₇₃	1	1	yes	characteristic, complemented
556	#3552	C₂×C₇₃	1	1	yes	characteristic, complemented
557	#3374	C₂×C₇₃	1	1	yes	characteristic, complemented
558	#3367	C₂×C₇₃	1	1	yes	characteristic, complemented
559	#3364	C₂×C₇₃	1	1	yes	characteristic, complemented
560	#3359	C₂×C₇₃	1	1	yes	characteristic, complemented
561	#3330	C₂×C₇₃	1	1	yes	characteristic, complemented
562	#3328	C₂×C₇₃	1	1	yes	characteristic, complemented
563	#3320	C₂×C₇₃	1	2	yes	complemented
564	#3316	C₂×C₇₃	1	2	yes	complemented
565	#3302	C₂×C₇₃	1	1	yes	characteristic, complemented
566	#3301	C₂×C₇₃	1	2	yes	complemented
567	#3299	C₂×C₇₃	1	2	yes	complemented
568	#3298	C₂×C₇₃	1	1	yes	characteristic, complemented
569	#3242	C₂×C₇₃	1	2	yes	complemented
570	#3239	C₂×C₇₃	1	1	yes	characteristic, complemented
571	#3225	C₂×C₇₃	1	2	yes	complemented
572	#3218	C₂×C₇₃	1	1	yes	characteristic, complemented
573	#3178	C₂×C₇₃	1	2	yes	complemented
574	#3168	C₂×C₇₃	1	1	yes	characteristic, complemented
575	#3137	C₂×C₇₃	1	2	yes	complemented
576	C₂×#487	C₂×C₇₃	1	1	yes	characteristic, complemented
577	#2966	C₂×C₇₃	1	1	yes	characteristic, complemented
578	C₇₃	#62553	1	1	yes	characteristic, direct product factor, Sylow
579	#563	—	2	2	no	—
580	#563	—	2	2	no	—
581	#557	C₂²×C₇₃	1	1	yes	characteristic
582	#557	C₂²×C₇₃	1	1	yes	characteristic
583	#556	C₂²×C₇₃	1	1	yes	characteristic
584	#556	C₂²×C₇₃	1	1	yes	characteristic
585	#554	—	2	1	no	—
586	#554	C₂²×C₇₃	1	2	yes	—
587	#553	—	2	1	no	—
588	#553	C₂²×C₇₃	1	2	yes	—
589	D₄×Q₈	—	2	1	no	—
590	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
591	D₄×Q₈	C₂²×C₇₃	1	2	yes	—
592	D₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
593	#548	—	2	1	no	—
594	#548	C₂²×C₇₃	1	2	yes	—
595	#547	C₂²×C₇₃	1	1	yes	characteristic
596	#547	C₂²×C₇₃	1	1	yes	characteristic
597	#544	—	2	1	no	—
598	#544	C₂²×C₇₃	1	2	yes	—
599	#542	—	2	1	no	—
600	#542	C₂²×C₇₃	1	2	yes	—
601	#541	—	2	1	no	—
602	#541	C₂²×C₇₃	1	2	yes	—
603	#539	—	2	2	no	—
604	#539	—	2	2	no	—
605	#536	—	2	1	no	—
606	#536	C₂²×C₇₃	1	2	yes	—
607	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
608	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
609	#529	C₂²×C₇₃	1	1	yes	characteristic
610	#529	C₂²×C₇₃	1	1	yes	characteristic
611	#529	C₂²×C₇₃	1	1	yes	characteristic
612	#501	C₂²×C₇₃	1	2	yes	—
613	#499	C₂²×C₇₃	1	1	yes	characteristic
614	#497	C₂²×C₇₃	1	2	yes	—
615	#495	C₂²×C₇₃	1	1	yes	characteristic
616	#491	C₂²×C₇₃	1	2	yes	—
617	#491	C₂²×C₇₃	1	2	yes	—
618	#489	C₂²×C₇₃	1	2	yes	—
619	#489	C₂²×C₇₃	1	2	yes	—
620	#488	C₂²×C₇₃	1	2	yes	—
621	#488	C₂²×C₇₃	1	1	yes	characteristic
622	#488	C₂²×C₇₃	1	1	yes	characteristic
623	#487	C₂²×C₇₃	1	1	yes	characteristic
624	#487	C₂²×C₇₃	1	1	yes	characteristic
625	#487	C₂²×C₇₃	1	1	yes	characteristic
626	#487	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	2	yes	—
630	#485	C₂²×C₇₃	1	2	yes	—
631	#485	C₂²×C₇₃	1	2	yes	—
632	#484	C₂²×C₇₃	1	2	yes	—
633	#484	C₂²×C₇₃	1	2	yes	—
634	#483	C₂²×C₇₃	1	2	yes	—
635	#481	C₂²×C₇₃	1	2	yes	—
636	#479	C₂²×C₇₃	1	2	yes	—
637	#479	C₂²×C₇₃	1	2	yes	—
638	#477	C₂²×C₇₃	1	2	yes	—
639	#475	C₂²×C₇₃	1	1	yes	characteristic
640	#475	C₂²×C₇₃	1	2	yes	—
641	#475	C₂²×C₇₃	1	1	yes	characteristic
642	#474	C₂²×C₇₃	1	1	yes	characteristic
643	#474	C₂²×C₇₃	1	1	yes	characteristic
644	#470	C₂²×C₇₃	1	2	yes	—
645	#468	C₂²×C₇₃	1	2	yes	—
646	#467	C₂²×C₇₃	1	1	yes	characteristic
647	#467	C₂²×C₇₃	1	2	yes	—
648	#466	C₂²×C₇₃	1	1	yes	characteristic
649	#465	C₂²×C₇₃	1	1	yes	characteristic
650	#465	C₂²×C₇₃	1	1	yes	characteristic
651	#465	C₂²×C₇₃	1	2	yes	—
652	#464	C₂²×C₇₃	1	2	yes	—
653	#463	C₂²×C₇₃	1	2	yes	—
654	#462	C₂²×C₇₃	1	1	yes	characteristic
655	#462	C₂²×C₇₃	1	1	yes	characteristic
656	#462	C₂²×C₇₃	1	2	yes	—
657	#461	C₂²×C₇₃	1	1	yes	characteristic
658	#461	C₂²×C₇₃	1	2	yes	—
659	#461	C₂²×C₇₃	1	1	yes	characteristic
660	#452	C₂²×C₇₃	1	2	yes	—
661	#451	C₂²×C₇₃	1	2	yes	—
662	#451	C₂²×C₇₃	1	2	yes	—
663	#449	C₂²×C₇₃	1	2	yes	—
664	#448	C₂²×C₇₃	1	2	yes	—
665	#448	C₂²×C₇₃	1	2	yes	—
666	#446	C₂²×C₇₃	1	1	yes	characteristic
667	C₈×Q₈	C₂²×C₇₃	1	1	yes	characteristic
668	#441	C₂²×C₇₃	1	2	yes	—
669	#440	C₂²×C₇₃	1	2	yes	—
670	C₄×Q₁₆	C₂²×C₇₃	1	1	yes	characteristic
671	C₄×Q₁₆	C₂²×C₇₃	1	2	yes	—
672	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic
673	C₄×SD₁₆	C₂²×C₇₃	1	2	yes	—
674	C₄×SD₁₆	C₂²×C₇₃	1	1	yes	characteristic
675	C₄×D₈	C₂²×C₇₃	1	1	yes	characteristic
676	#436	C₂²×C₇₃	1	1	yes	characteristic
677	#435	C₂²×C₇₃	1	2	yes	—
678	C₈×D₄	C₂²×C₇₃	1	1	yes	characteristic
679	C₈×D₄	C₂²×C₇₃	1	2	yes	—
680	#433	C₂²×C₇₃	1	2	yes	—
681	#432	C₂²×C₇₃	1	1	yes	characteristic
682	#419	C₂²×C₇₃	1	2	yes	—
683	#417	C₂²×C₇₃	1	2	yes	—
684	#416	C₂²×C₇₃	1	2	yes	—
685	C₂×#103	C₂²×C₇₃	1	2	yes	—
686	C₂×#103	C₂²×C₇₃	1	2	yes	—
687	C₂×#103	C₂²×C₇₃	1	2	yes	—
688	#405	C₂²×C₇₃	1	2	yes	—
689	C₂×C₄×C₈	C₂²×C₇₃	1	1	yes	characteristic
690	C₂×#41	—	2	1	no	—
691	C₂×#41	C₂³×C₇₃	1	2	yes	—
692	C₂²×Q₈	—	2	1	no	—
693	C₂²×Q₈	—	2	1	no	—
694	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
695	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
696	C₂×Q₁₆	C₂³×C₇₃	1	1	yes	characteristic
697	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
698	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
699	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
700	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
701	C₂×SD₁₆	C₂³×C₇₃	1	1	yes	characteristic
702	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
703	C₂×D₈	C₂³×C₇₃	1	1	yes	characteristic
704	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
705	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
706	C₂²×C₈	C₂³×C₇₃	1	1	yes	characteristic
707	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
708	C₄⋊Q₈	—	2	1	no	—
709	C₄⋊Q₈	—	2	1	no	—
710	C₄⋊Q₈	—	2	2	no	—
711	C₄⋊Q₈	—	2	2	no	—
712	C₄⋊Q₈	—	2	1	no	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	—	2	1	no	—
716	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
717	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
718	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
720	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
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	#126	—	2	2	no	—
725	#126	—	2	2	no	—
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	—	2	1	no	—
732	#126	D₄×C₇₃	1	2	yes	—
733	#125	—	2	2	no	—
734	#125	—	2	2	no	—
735	#125	—	2	2	no	—
736	#125	—	2	2	no	—
737	#125	—	2	2	no	—
738	#125	—	2	2	no	—
739	#125	—	2	1	no	—
740	#125	D₄×C₇₃	1	1	yes	characteristic
741	#125	C₂³×C₇₃	1	1	yes	characteristic
742	#125	C₂³×C₇₃	1	1	yes	characteristic
743	#125	C₂³×C₇₃	1	2	yes	—
744	#124	—	2	1	no	—
745	#124	—	2	2	no	—
746	#124	—	2	2	no	—
747	#124	D₄×C₇₃	1	1	yes	characteristic
748	#124	C₂³×C₇₃	1	1	yes	characteristic
749	#124	C₂³×C₇₃	1	1	yes	characteristic
750	#124	C₂³×C₇₃	1	2	yes	—
751	#123	—	2	1	no	—
752	#123	—	2	1	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	D₄×C₇₃	1	2	yes	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	2	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	2	yes	—
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	1	no	—
784	#121	D₄×C₇₃	1	1	yes	characteristic
785	#121	C₂³×C₇₃	1	1	yes	characteristic
786	#121	C₂³×C₇₃	1	1	yes	characteristic
787	#121	C₂³×C₇₃	1	2	yes	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
793	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
794	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
795	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
796	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
805	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₇₃	1	2	yes	—
807	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
808	C₄×D₄	C₂³×C₇₃	1	2	yes	—
809	#117	—	2	1	no	—
810	#117	—	2	1	no	—
811	#117	—	2	1	no	—
812	#117	C₂³×C₇₃	1	2	yes	—
813	#117	C₂³×C₇₃	1	2	yes	—
814	C₂×C₄⋊C₄	—	2	1	no	—
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	—	2	1	no	—
818	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
819	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
820	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
821	#107	C₂³×C₇₃	1	1	yes	characteristic
822	#107	C₂³×C₇₃	1	1	yes	characteristic
823	#107	C₂³×C₇₃	1	2	yes	—
824	#107	C₂³×C₇₃	1	2	yes	—
825	#106	C₂³×C₇₃	1	1	yes	characteristic
826	#106	C₂³×C₇₃	1	1	yes	characteristic
827	#106	C₂³×C₇₃	1	2	yes	—
828	#106	C₂³×C₇₃	1	2	yes	—
829	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
830	C₄⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
831	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
832	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
833	#103	C₂³×C₇₃	1	1	yes	characteristic
834	#103	C₂³×C₇₃	1	2	yes	—
835	#103	C₂³×C₇₃	1	2	yes	—
836	#103	C₂³×C₇₃	1	2	yes	—
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	2	yes	—
841	#103	C₂³×C₇₃	1	2	yes	—
842	#103	C₂³×C₇₃	1	2	yes	—
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	1	yes	characteristic
847	#103	C₂³×C₇₃	1	2	yes	—
848	#103	C₂³×C₇₃	1	2	yes	—
849	#103	C₂³×C₇₃	1	1	yes	characteristic
850	#103	C₂³×C₇₃	1	1	yes	characteristic
851	#102	C₂³×C₇₃	1	1	yes	characteristic
852	#102	C₂³×C₇₃	1	2	yes	—
853	#102	C₂³×C₇₃	1	1	yes	characteristic
854	#102	C₂³×C₇₃	1	2	yes	—
855	#102	C₂³×C₇₃	1	1	yes	characteristic
856	#102	C₂³×C₇₃	1	1	yes	characteristic
857	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
858	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
859	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
860	#97	C₂³×C₇₃	1	2	yes	—
861	#97	C₂³×C₇₃	1	2	yes	—
862	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
863	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
864	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
865	C₄×C₈	C₂³×C₇₃	1	1	yes	characteristic
866	C₄×C₈	C₂³×C₇₃	1	2	yes	—
867	#41	—	4	2	no	—
868	#41	—	4	2	no	—
869	#41	—	8	2	no	—
870	C₂×Q₈	—	2	1	no	—
871	C₂×Q₈	—	2	1	no	—
872	C₂×Q₈	—	2	2	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	2	2	no	—
875	C₂×Q₈	—	2	2	no	—
876	C₂×Q₈	—	4	2	no	—
877	C₂×Q₈	—	4	2	no	—
878	C₂×Q₈	—	4	2	no	—
879	C₂×Q₈	—	4	2	no	—
880	C₂×Q₈	—	8	2	no	—
881	C₂×Q₈	—	8	2	no	—
882	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
883	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
884	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
885	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
886	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	2	1	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
892	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
893	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
894	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
904	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
905	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
906	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
907	Q₁₆	—	4	1	no	—
908	Q₁₆	—	4	2	no	—
909	Q₁₆	—	4	2	no	—
910	SD₁₆	—	4	1	no	—
911	SD₁₆	—	4	1	no	—
912	SD₁₆	—	4	2	no	—
913	SD₁₆	—	4	2	no	—
914	D₈	—	4	1	no	—
915	M₁₆	—	4	2	no	—
916	C₂×C₈	—	4	1	no	—
917	C₂×C₈	—	4	2	no	—
918	C₂×C₈	—	4	1	no	—
919	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
921	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
922	C₂×C₈	C₂⁴×C₇₃	1	1	yes	characteristic
923	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
924	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	1	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	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
956	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
957	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
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	C₂⁴×C₇₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
963	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
964	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
966	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
986	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
987	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
988	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
989	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	1	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	2	no	—
994	C₄²	—	2	2	no	—
995	C₄²	—	2	2	no	—
996	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
997	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
998	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
999	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
1000	C₄²	C₂⁴×C₇₃	1	2	yes	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1004	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
1005	Q₈	—	2	2	no	—
1006	Q₈	—	2	1	no	—
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	1	no	—
1012	Q₈	—	2	2	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	4	2	no	—
1015	Q₈	—	4	2	no	—
1016	Q₈	—	8	2	no	—
1017	Q₈	—	8	2	no	—
1018	Q₈	—	8	2	no	—
1019	Q₈	—	8	2	no	—
1020	D₄	—	2	4	no	—
1021	D₄	—	2	2	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	2	1	no	—
1024	D₄	—	2	1	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	4	2	no	—
1027	D₄	—	4	2	no	—
1028	D₄	—	8	2	no	—
1029	D₄	—	8	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	4	2	no	—
1048	C₂×C₄	—	8	2	no	—
1049	C₂×C₄	—	8	2	no	—
1050	C₂×C₄	—	8	2	no	—
1051	C₂×C₄	—	8	2	no	—
1052	C₂×C₄	—	8	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1055	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1056	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1057	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1058	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1059	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1060	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1061	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
1062	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
1063	C₈	—	2	1	no	—
1064	C₈	—	2	1	no	—
1065	C₈	—	2	1	no	—
1066	C₈	—	2	1	no	—
1067	C₈	—	2	2	no	—
1068	C₈	—	2	2	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	2	2	no	—
1073	C₂²	—	2	2	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	#578×C₇₃	1	2	yes	—
1081	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1082	C₄	—	2	2	no	—
1083	C₄	—	2	1	no	—
1084	C₄	—	2	1	no	—
1085	C₄	—	2	2	no	—
1086	C₄	—	2	1	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	4	2	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	2	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	#577×C₇₃	1	2	yes	—
1100	C₄	#585×C₇₃	1	1	yes	characteristic
1101	C₄	#585×C₇₃	1	1	yes	characteristic
1102	C₂	—	2	2	no	—
1103	C₂	—	4	2	no	—
1104	C₂	—	8	1	no	—
1105	C₂	—	8	1	no	—
1106	C₂	C₇₃×#3500	1	1	yes	characteristic
1107	C₂	C₂×#577×C₇₃	1	1	yes	characteristic
1108	C₂	C₂×#578×C₇₃	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×#3552	C₂	semidirect
2. C₇₃×#3552	C₂	semidirect
3. C₇₃×#3374	C₂	semidirect
4. C₇₃×#3367	C₂	semidirect
5. C₇₃×#3364	C₂	semidirect
6. C₇₃×#3359	C₂	semidirect
7. C₇₃×#3330	C₂	semidirect
8. C₇₃×#3328	C₂	semidirect
9. C₇₃×#3320	C₂	semidirect
10. C₇₃×#3316	C₂	semidirect
11. C₇₃×#3302	C₂	semidirect
12. C₇₃×#3301	C₂	semidirect
13. C₇₃×#3299	C₂	semidirect
14. C₇₃×#3298	C₂	semidirect
15. C₇₃×#3242	C₂	semidirect
16. C₇₃×#3239	C₂	semidirect
17. C₇₃×#3225	C₂	semidirect
18. C₇₃×#3218	C₂	semidirect
19. C₇₃×#3178	C₂	semidirect
20. C₇₃×#3168	C₂	semidirect
21. C₇₃×#3137	C₂	semidirect
22. C₂×#487×C₇₃	C₂	semidirect
23. C₇₃×#2966	C₂	semidirect
547. #62553	C₇₃	direct (N × H)
555. #3552	C₂×C₇₃	semidirect
556. #3552	C₂×C₇₃	semidirect
557. #3374	C₂×C₇₃	semidirect
558. #3367	C₂×C₇₃	semidirect
559. #3364	C₂×C₇₃	semidirect
560. #3359	C₂×C₇₃	semidirect
561. #3330	C₂×C₇₃	semidirect
562. #3328	C₂×C₇₃	semidirect
563. #3320	C₂×C₇₃	semidirect
564. #3316	C₂×C₇₃	semidirect
565. #3302	C₂×C₇₃	semidirect
566. #3301	C₂×C₇₃	semidirect
567. #3299	C₂×C₇₃	semidirect
568. #3298	C₂×C₇₃	semidirect
569. #3242	C₂×C₇₃	semidirect
570. #3239	C₂×C₇₃	semidirect
571. #3225	C₂×C₇₃	semidirect
572. #3218	C₂×C₇₃	semidirect
573. #3178	C₂×C₇₃	semidirect
574. #3168	C₂×C₇₃	semidirect
575. #3137	C₂×C₇₃	semidirect
576. C₂×#487	C₂×C₇₃	semidirect
577. #2966	C₂×C₇₃	semidirect
578. C₇₃	#62553	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×#3552	2
C₇₃×#3374	2
C₇₃×#3367	2
C₇₃×#3364	2
C₇₃×#3359	2
C₇₃×#3330	2
C₇₃×#3328	2
C₇₃×#3320	2
C₇₃×#3316	2
C₇₃×#3302	2
C₇₃×#3301	2
C₇₃×#3299	2
C₇₃×#3298	2
C₇₃×#3242	2
C₇₃×#3239	2
C₇₃×#3225	2
C₇₃×#3218	2
C₇₃×#3178	2
C₇₃×#3168	2
C₇₃×#3137	2
C₂×#487×C₇₃	2
C₇₃×#2966	2
#62553	73

Subgroups — C73×#62553 #32971957

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#62553 #32971957