Subgroups — C₇₃×#62605 #32972009

Order 18688.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇₃×#3544	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#3375	C₂	1	2	yes	maximal, complemented
4	C₇₃×#3370	C₂	1	2	yes	maximal, complemented
5	C₇₃×#3319	C₂	1	2	yes	maximal, complemented
6	C₇₃×#3314	C₂	1	2	yes	maximal, complemented
7	C₇₃×#3310	C₂	1	2	yes	maximal, complemented
8	C₇₃×#3308	C₂	1	2	yes	maximal, complemented
9	C₇₃×#3300	C₂	1	2	yes	maximal, complemented
10	C₇₃×#3294	C₂	1	2	yes	maximal, complemented
11	C₇₃×#3243	C₂	1	2	yes	maximal, complemented
12	C₇₃×#3226	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#3224	C₂	1	2	yes	maximal, complemented
14	C₇₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₃×#3175	C₂	1	2	yes	maximal, complemented
17	C₇₃×#3136	C₂	1	2	yes	maximal, complemented
18	C₂×#489×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
20	#563×C₇₃	—	2	2	no	—
21	#562×C₇₃	—	2	1	no	—
22	H(3,𝔽₄)×C₇₃	—	2	1	no	—
23	#559×C₇₃	C₂²	1	2	yes	—
24	Q₈²×C₇₃	C₂²	1	1	yes	characteristic, complemented
25	#555×C₇₃	C₂²	1	1	yes	characteristic, complemented
26	#554×C₇₃	C₂²	1	1	yes	characteristic, complemented
27	#554×C₇₃	C₂²	1	1	yes	characteristic, complemented
28	#552×C₇₃	—	2	1	no	—
29	#552×C₇₃	C₂²	1	2	yes	complemented
30	#548×C₇₃	C₂²	1	2	yes	—
31	#547×C₇₃	—	2	1	no	—
32	#547×C₇₃	C₂²	1	2	yes	complemented
33	#546×C₇₃	—	2	2	no	—
34	#546×C₇₃	C₂²	1	2	yes	—
35	D₄²×C₇₃	C₂²	1	2	yes	—
36	#544×C₇₃	—	2	1	no	—
37	#544×C₇₃	C₂²	1	2	yes	complemented
38	#542×C₇₃	—	2	1	no	—
39	#542×C₇₃	C₂²	1	2	yes	—
40	#542×C₇₃	C₂²	1	2	yes	complemented
41	#538×C₇₃	—	2	2	no	—
42	#538×C₇₃	—	2	1	no	—
43	#536×C₇₃	—	2	2	no	—
44	#535×C₇₃	C₂²	1	2	yes	—
45	#534×C₇₃	—	2	1	no	—
46	#532×C₇₃	C₂²	1	1	yes	characteristic
47	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
48	#529×C₇₃	C₂²	1	1	yes	characteristic
49	#529×C₇₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
51	#501×C₇₃	C₂²	1	1	yes	characteristic, complemented
52	#500×C₇₃	C₂²	1	2	yes	complemented
53	#496×C₇₃	C₂²	1	1	yes	characteristic, complemented
54	#495×C₇₃	C₂²	1	2	yes	complemented
55	#490×C₇₃	C₂²	1	2	yes	—
56	#490×C₇₃	C₂²	1	1	yes	characteristic, complemented
57	#489×C₇₃	C₂²	1	2	yes	complemented
58	#489×C₇₃	C₂²	1	2	yes	complemented
59	#489×C₇₃	C₂²	1	2	yes	complemented
60	#489×C₇₃	C₂²	1	2	yes	complemented
61	#489×C₇₃	C₂²	1	2	yes	complemented
62	#489×C₇₃	C₂²	1	1	yes	characteristic, complemented
63	#488×C₇₃	C₂²	1	2	yes	complemented
64	#488×C₇₃	C₂²	1	2	yes	complemented
65	#486×C₇₃	C₂²	1	2	yes	—
66	#486×C₇₃	C₂²	1	2	yes	complemented
67	#485×C₇₃	C₂²	1	2	yes	complemented
68	#484×C₇₃	C₂²	1	2	yes	complemented
69	#482×C₇₃	C₂²	1	2	yes	—
70	#480×C₇₃	C₂²	1	2	yes	—
71	#480×C₇₃	C₂²	1	2	yes	complemented
72	#480×C₇₃	C₂²	1	2	yes	complemented
73	#479×C₇₃	C₂²	1	2	yes	complemented
74	#478×C₇₃	C₂²	1	2	yes	complemented
75	#477×C₇₃	C₂²	1	2	yes	complemented
76	#474×C₇₃	C₂²	1	2	yes	complemented
77	#474×C₇₃	C₂²	1	2	yes	complemented
78	#474×C₇₃	C₂²	1	2	yes	complemented
79	#468×C₇₃	C₂²	1	2	yes	—
80	#468×C₇₃	C₂²	1	2	yes	complemented
81	#467×C₇₃	C₂²	1	2	yes	complemented
82	#466×C₇₃	C₂²	1	2	yes	—
83	#466×C₇₃	C₂²	1	2	yes	complemented
84	#465×C₇₃	C₂²	1	2	yes	complemented
85	#464×C₇₃	C₂²	1	2	yes	complemented
86	#464×C₇₃	C₂²	1	2	yes	complemented
87	#463×C₇₃	C₂²	1	2	yes	complemented
88	#463×C₇₃	C₂²	1	2	yes	complemented
89	#460×C₇₃	C₂²	1	2	yes	—
90	#459×C₇₃	C₂²	1	2	yes	—
91	#452×C₇₃	C₂²	1	2	yes	complemented
92	#451×C₇₃	C₂²	1	1	yes	characteristic, complemented
93	#450×C₇₃	C₂²	1	1	yes	characteristic
94	#450×C₇₃	C₂²	1	2	yes	complemented
95	#449×C₇₃	C₂²	1	2	yes	complemented
96	#448×C₇₃	C₂²	1	1	yes	characteristic, complemented
97	#447×C₇₃	C₂²	1	1	yes	characteristic
98	#447×C₇₃	C₂²	1	2	yes	complemented
99	#446×C₇₃	C₂²	1	2	yes	complemented
100	#442×C₇₃	C₂²	1	2	yes	complemented
101	#440×C₇₃	C₂²	1	2	yes	complemented
102	#440×C₇₃	C₂²	1	2	yes	complemented
103	#440×C₇₃	C₂²	1	2	yes	complemented
104	C₄×Q₁₆×C₇₃	C₂²	1	2	yes	complemented
105	C₄×D₈×C₇₃	C₂²	1	2	yes	complemented
106	#435×C₇₃	C₂²	1	2	yes	complemented
107	#435×C₇₃	C₂²	1	2	yes	complemented
108	C₈×D₄×C₇₃	C₂²	1	2	yes	complemented
109	#433×C₇₃	C₂²	1	2	yes	complemented
110	#431×C₇₃	C₂²	1	1	yes	characteristic, complemented
111	#418×C₇₃	C₂²	1	2	yes	complemented
112	#417×C₇₃	C₂²	1	2	yes	complemented
113	#416×C₇₃	C₂²	1	2	yes	complemented
114	C₂×#103×C₇₃	C₂²	1	2	yes	complemented
115	C₂×#102×C₇₃	C₂²	1	2	yes	—
116	C₂×#102×C₇₃	C₂²	1	2	yes	complemented
117	#405×C₇₃	C₂²	1	2	yes	complemented
118	C₂×#97×C₇₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×#41×C₇₃	—	2	2	no	—
120	C₂×#41×C₇₃	—	2	1	no	—
121	C₂×#41×C₇₃	C₂³	1	2	yes	—
122	C₂²×Q₈×C₇₃	—	2	1	no	—
123	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₇₃	—	2	2	no	—
125	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
127	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
128	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
131	C₂×D₈×C₇₃	C₂³	1	2	yes	—
132	C₂×D₈×C₇₃	C₂³	1	2	yes	—
133	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
134	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
135	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
136	C₄⋊Q₈×C₇₃	—	2	2	no	—
137	C₄⋊Q₈×C₇₃	—	2	2	no	—
138	C₄⋊Q₈×C₇₃	—	2	1	no	—
139	C₄⋊Q₈×C₇₃	—	2	1	no	—
140	C₄⋊Q₈×C₇₃	—	2	1	no	—
141	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
142	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
143	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
144	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
145	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
146	#127×C₇₃	C₂³	1	2	yes	—
147	#127×C₇₃	C₂³	1	1	yes	characteristic
148	#126×C₇₃	—	2	2	no	—
149	#126×C₇₃	—	2	2	no	—
150	#126×C₇₃	—	2	2	no	—
151	#126×C₇₃	—	2	1	no	—
152	#126×C₇₃	D₄	1	2	yes	—
153	#125×C₇₃	—	2	1	no	—
154	#125×C₇₃	—	2	2	no	—
155	#125×C₇₃	—	2	2	no	—
156	#125×C₇₃	D₄	1	1	yes	characteristic
157	#125×C₇₃	C₂³	1	2	yes	—
158	#125×C₇₃	C₂³	1	1	yes	characteristic
159	#124×C₇₃	—	2	2	no	—
160	#124×C₇₃	—	2	2	no	—
161	#124×C₇₃	—	2	2	no	—
162	#124×C₇₃	—	2	2	no	—
163	#124×C₇₃	—	2	2	no	—
164	#124×C₇₃	—	2	1	no	—
165	#124×C₇₃	—	2	1	no	—
166	#124×C₇₃	—	2	1	no	—
167	#124×C₇₃	D₄	1	1	yes	characteristic
168	#124×C₇₃	C₂³	1	2	yes	—
169	#124×C₇₃	C₂³	1	2	yes	—
170	#124×C₇₃	C₂³	1	2	yes	—
171	#124×C₇₃	C₂³	1	1	yes	characteristic
172	#123×C₇₃	—	2	2	no	—
173	#123×C₇₃	—	2	1	no	—
174	#123×C₇₃	—	2	2	no	—
175	#123×C₇₃	—	2	2	no	—
176	#123×C₇₃	—	2	2	no	—
177	#123×C₇₃	—	2	2	no	—
178	#123×C₇₃	—	2	2	no	—
179	#123×C₇₃	—	2	2	no	—
180	#123×C₇₃	—	2	2	no	—
181	#123×C₇₃	D₄	1	2	yes	—
182	C₂²⋊Q₈×C₇₃	—	2	1	no	—
183	C₂²⋊Q₈×C₇₃	—	2	2	no	—
184	C₂²⋊Q₈×C₇₃	—	2	2	no	—
185	C₂²⋊Q₈×C₇₃	—	2	2	no	—
186	C₂²⋊Q₈×C₇₃	—	2	2	no	—
187	C₂²⋊Q₈×C₇₃	—	2	2	no	—
188	C₂²⋊Q₈×C₇₃	—	2	2	no	—
189	C₂²⋊Q₈×C₇₃	—	2	2	no	—
190	C₂²⋊Q₈×C₇₃	—	2	2	no	—
191	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
192	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
193	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
194	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
195	#121×C₇₃	—	2	2	no	—
196	#121×C₇₃	—	2	1	no	—
197	#121×C₇₃	—	2	1	no	—
198	#121×C₇₃	—	2	2	no	—
199	#121×C₇₃	—	2	2	no	—
200	#121×C₇₃	—	2	2	no	—
201	#121×C₇₃	—	2	2	no	—
202	#121×C₇₃	D₄	1	1	yes	characteristic
203	#121×C₇₃	C₂³	1	1	yes	characteristic
204	#121×C₇₃	C₂³	1	2	yes	—
205	#121×C₇₃	C₂³	1	2	yes	—
206	#121×C₇₃	C₂³	1	2	yes	—
207	#120×C₇₃	—	2	2	no	—
208	#120×C₇₃	—	2	2	no	—
209	#120×C₇₃	—	2	2	no	—
210	#120×C₇₃	—	2	2	no	—
211	#120×C₇₃	—	2	2	no	—
212	C₄×Q₈×C₇₃	—	2	1	no	—
213	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
214	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
215	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
216	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
217	C₄×D₄×C₇₃	—	2	1	no	—
218	C₄×D₄×C₇₃	—	2	1	no	—
219	C₄×D₄×C₇₃	—	2	2	no	—
220	C₄×D₄×C₇₃	—	2	2	no	—
221	C₄×D₄×C₇₃	—	2	1	no	—
222	C₄×D₄×C₇₃	C₂³	1	2	yes	—
223	C₄×D₄×C₇₃	C₂³	1	2	yes	—
224	C₄×D₄×C₇₃	C₂³	1	2	yes	—
225	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
226	C₄×D₄×C₇₃	C₂³	1	2	yes	—
227	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
228	#117×C₇₃	—	2	1	no	—
229	#117×C₇₃	—	2	2	no	—
230	#117×C₇₃	—	2	1	no	—
231	#117×C₇₃	C₂³	1	2	yes	—
232	#117×C₇₃	C₂³	1	2	yes	—
233	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
234	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
235	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
236	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
238	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
239	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
240	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
241	#107×C₇₃	C₂³	1	2	yes	—
242	#107×C₇₃	C₂³	1	2	yes	—
243	#107×C₇₃	C₂³	1	2	yes	—
244	#107×C₇₃	C₂³	1	2	yes	—
245	#107×C₇₃	C₂³	1	2	yes	—
246	#106×C₇₃	C₂³	1	2	yes	—
247	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
248	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
249	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
250	#103×C₇₃	C₂³	1	2	yes	—
251	#103×C₇₃	C₂³	1	2	yes	—
252	#103×C₇₃	C₂³	1	2	yes	—
253	#103×C₇₃	C₂³	1	2	yes	—
254	#103×C₇₃	C₂³	1	2	yes	—
255	#103×C₇₃	C₂³	1	2	yes	—
256	#103×C₇₃	C₂³	1	2	yes	—
257	#102×C₇₃	C₂³	1	2	yes	—
258	#102×C₇₃	C₂³	1	2	yes	—
259	#102×C₇₃	C₂³	1	2	yes	—
260	#102×C₇₃	C₂³	1	2	yes	—
261	#102×C₇₃	C₂³	1	2	yes	—
262	#102×C₇₃	C₂³	1	2	yes	—
263	#102×C₇₃	C₂³	1	2	yes	—
264	#102×C₇₃	C₂³	1	2	yes	—
265	#102×C₇₃	C₂³	1	2	yes	—
266	#102×C₇₃	C₂³	1	2	yes	—
267	#102×C₇₃	C₂³	1	2	yes	—
268	#102×C₇₃	C₂³	1	2	yes	—
269	#102×C₇₃	C₂³	1	2	yes	—
270	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
271	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
272	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
273	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
274	#97×C₇₃	C₂³	1	1	yes	characteristic
275	#97×C₇₃	C₂³	1	1	yes	characteristic
276	#97×C₇₃	C₂³	1	2	yes	—
277	#97×C₇₃	C₂³	1	2	yes	—
278	C₄×C₈×C₇₃	C₂³	1	2	yes	—
279	C₄×C₈×C₇₃	C₂³	1	2	yes	—
280	C₂⁴×C₇₃	—	2	1	no	—
281	C₂⁴×C₇₃	—	2	2	no	—
282	#41×C₇₃	—	4	2	no	—
283	#41×C₇₃	—	4	2	no	—
284	#41×C₇₃	—	8	2	no	—
285	#41×C₇₃	—	8	4	no	—
286	C₂×Q₈×C₇₃	—	2	1	no	—
287	C₂×Q₈×C₇₃	—	2	1	no	—
288	C₂×Q₈×C₇₃	—	2	1	no	—
289	C₂×Q₈×C₇₃	—	2	2	no	—
290	C₂×Q₈×C₇₃	—	2	2	no	—
291	C₂×Q₈×C₇₃	—	2	1	no	—
292	C₂×Q₈×C₇₃	—	4	2	no	—
293	C₂×Q₈×C₇₃	—	8	2	no	—
294	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
295	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
296	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
297	C₂×D₄×C₇₃	—	2	2	no	—
298	C₂×D₄×C₇₃	—	2	1	no	—
299	C₂×D₄×C₇₃	—	2	2	no	—
300	C₂×D₄×C₇₃	—	2	2	no	—
301	C₂×D₄×C₇₃	—	2	2	no	—
302	C₂×D₄×C₇₃	—	2	2	no	—
303	C₂×D₄×C₇₃	—	2	1	no	—
304	C₂×D₄×C₇₃	—	2	1	no	—
305	C₂×D₄×C₇₃	—	2	1	no	—
306	C₂×D₄×C₇₃	—	2	2	no	—
307	C₂×D₄×C₇₃	—	2	2	no	—
308	C₂×D₄×C₇₃	—	4	2	no	—
309	C₂×D₄×C₇₃	—	4	2	no	—
310	C₂×D₄×C₇₃	—	4	2	no	—
311	C₂×D₄×C₇₃	—	8	4	no	—
312	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
313	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
314	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
315	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
316	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₇₃	—	2	2	no	—
318	C₂²×C₄×C₇₃	—	2	1	no	—
319	C₂²×C₄×C₇₃	—	2	2	no	—
320	C₂²×C₄×C₇₃	—	2	1	no	—
321	C₂²×C₄×C₇₃	—	2	2	no	—
322	C₂²×C₄×C₇₃	—	2	2	no	—
323	C₂²×C₄×C₇₃	—	2	2	no	—
324	C₂²×C₄×C₇₃	—	2	2	no	—
325	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
329	Q₁₆×C₇₃	—	4	2	no	—
330	SD₁₆×C₇₃	—	4	2	no	—
331	SD₁₆×C₇₃	—	4	2	no	—
332	SD₁₆×C₇₃	—	4	2	no	—
333	D₈×C₇₃	—	4	2	no	—
334	D₈×C₇₃	—	4	2	no	—
335	M₁₆×C₇₃	—	4	2	no	—
336	C₂×C₈×C₇₃	—	4	2	no	—
337	C₂×C₈×C₇₃	—	4	2	no	—
338	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
339	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
340	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
341	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
342	C₄⋊C₄×C₇₃	—	2	1	no	—
343	C₄⋊C₄×C₇₃	—	2	1	no	—
344	C₄⋊C₄×C₇₃	—	2	2	no	—
345	C₄⋊C₄×C₇₃	—	2	2	no	—
346	C₄⋊C₄×C₇₃	—	2	2	no	—
347	C₄⋊C₄×C₇₃	—	2	2	no	—
348	C₄⋊C₄×C₇₃	—	2	2	no	—
349	C₄⋊C₄×C₇₃	—	2	2	no	—
350	C₄⋊C₄×C₇₃	—	2	1	no	—
351	C₄⋊C₄×C₇₃	—	2	1	no	—
352	C₄⋊C₄×C₇₃	—	2	2	no	—
353	C₄⋊C₄×C₇₃	—	2	1	no	—
354	C₄⋊C₄×C₇₃	—	2	1	no	—
355	C₄⋊C₄×C₇₃	—	2	2	no	—
356	C₄⋊C₄×C₇₃	—	2	2	no	—
357	C₄⋊C₄×C₇₃	—	2	1	no	—
358	C₄⋊C₄×C₇₃	—	2	2	no	—
359	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
360	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
361	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
362	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
363	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
364	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
365	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
366	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
367	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
368	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
369	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
370	C₂²⋊C₄×C₇₃	—	2	2	no	—
371	C₂²⋊C₄×C₇₃	—	2	1	no	—
372	C₂²⋊C₄×C₇₃	—	2	2	no	—
373	C₂²⋊C₄×C₇₃	—	2	2	no	—
374	C₂²⋊C₄×C₇₃	—	2	2	no	—
375	C₂²⋊C₄×C₇₃	—	2	2	no	—
376	C₂²⋊C₄×C₇₃	—	2	2	no	—
377	C₂²⋊C₄×C₇₃	—	2	2	no	—
378	C₂²⋊C₄×C₇₃	—	2	2	no	—
379	C₂²⋊C₄×C₇₃	—	2	1	no	—
380	C₂²⋊C₄×C₇₃	—	2	2	no	—
381	C₂²⋊C₄×C₇₃	—	2	1	no	—
382	C₂²⋊C₄×C₇₃	—	2	2	no	—
383	C₂²⋊C₄×C₇₃	—	2	2	no	—
384	C₂²⋊C₄×C₇₃	—	2	2	no	—
385	C₂²⋊C₄×C₇₃	—	2	1	no	—
386	C₂²⋊C₄×C₇₃	—	2	2	no	—
387	C₂²⋊C₄×C₇₃	—	2	2	no	—
388	C₂²⋊C₄×C₇₃	—	2	2	no	—
389	C₂²⋊C₄×C₇₃	—	2	1	no	—
390	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
391	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
392	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
393	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
394	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
395	C₄²×C₇₃	—	2	2	no	—
396	C₄²×C₇₃	—	2	1	no	—
397	C₄²×C₇₃	—	2	2	no	—
398	C₄²×C₇₃	—	2	2	no	—
399	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
400	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
401	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
402	C₄²×C₇₃	C₂⁴	1	2	yes	—
403	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
404	C₂³×C₇₃	—	2	1	no	—
405	C₂³×C₇₃	—	2	2	no	—
406	C₂³×C₇₃	—	2	2	no	—
407	C₂³×C₇₃	—	4	2	no	—
408	C₂³×C₇₃	—	8	1	no	—
409	C₂³×C₇₃	—	8	2	no	—
410	C₂³×C₇₃	—	8	2	no	—
411	C₂³×C₇₃	—	8	1	no	—
412	C₂³×C₇₃	—	8	2	no	—
413	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
414	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
415	Q₈×C₇₃	—	2	2	no	—
416	Q₈×C₇₃	—	2	2	no	—
417	Q₈×C₇₃	—	2	2	no	—
418	Q₈×C₇₃	—	4	1	no	—
419	Q₈×C₇₃	—	8	1	no	—
420	Q₈×C₇₃	—	8	1	no	—
421	Q₈×C₇₃	—	8	1	no	—
422	Q₈×C₇₃	—	8	2	no	—
423	Q₈×C₇₃	—	8	1	no	—
424	Q₈×C₇₃	—	8	2	no	—
425	D₄×C₇₃	—	2	4	no	—
426	D₄×C₇₃	—	2	2	no	—
427	D₄×C₇₃	—	2	2	no	—
428	D₄×C₇₃	—	2	2	no	—
429	D₄×C₇₃	—	2	2	no	—
430	D₄×C₇₃	—	2	2	no	—
431	D₄×C₇₃	—	4	1	no	—
432	D₄×C₇₃	—	4	4	no	—
433	D₄×C₇₃	—	4	2	no	—
434	D₄×C₇₃	—	8	1	no	—
435	D₄×C₇₃	—	8	2	no	—
436	D₄×C₇₃	—	8	2	no	—
437	D₄×C₇₃	—	8	1	no	—
438	D₄×C₇₃	—	8	2	no	—
439	D₄×C₇₃	—	8	1	no	—
440	D₄×C₇₃	—	8	2	no	—
441	D₄×C₇₃	—	8	2	no	—
442	D₄×C₇₃	—	8	2	no	—
443	C₂×C₄×C₇₃	—	2	2	no	—
444	C₂×C₄×C₇₃	—	2	2	no	—
445	C₂×C₄×C₇₃	—	2	2	no	—
446	C₂×C₄×C₇₃	—	2	2	no	—
447	C₂×C₄×C₇₃	—	2	1	no	—
448	C₂×C₄×C₇₃	—	2	1	no	—
449	C₂×C₄×C₇₃	—	2	2	no	—
450	C₂×C₄×C₇₃	—	2	2	no	—
451	C₂×C₄×C₇₃	—	2	2	no	—
452	C₂×C₄×C₇₃	—	2	1	no	—
453	C₂×C₄×C₇₃	—	2	2	no	—
454	C₂×C₄×C₇₃	—	4	1	no	—
455	C₂×C₄×C₇₃	—	4	2	no	—
456	C₂×C₄×C₇₃	—	4	4	no	—
457	C₂×C₄×C₇₃	—	8	2	no	—
458	C₂×C₄×C₇₃	—	8	2	no	—
459	C₂×C₄×C₇₃	—	8	2	no	—
460	C₂×C₄×C₇₃	—	8	2	no	—
461	C₂×C₄×C₇₃	—	8	1	no	—
462	C₂×C₄×C₇₃	—	8	2	no	—
463	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
464	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
465	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
466	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
467	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
468	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
469	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
471	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
472	C₈×C₇₃	—	2	2	no	—
473	C₈×C₇₃	—	2	2	no	—
474	C₈×C₇₃	—	2	2	no	—
475	C₈×C₇₃	—	2	2	no	—
476	C₂²×C₇₃	—	2	1	no	—
477	C₂²×C₇₃	—	2	1	no	—
478	C₂²×C₇₃	—	2	2	no	—
479	C₂²×C₇₃	—	2	2	no	—
480	C₂²×C₇₃	—	2	2	no	—
481	C₂²×C₇₃	—	4	1	no	—
482	C₂²×C₇₃	—	4	2	no	—
483	C₂²×C₇₃	—	4	2	no	—
484	C₂²×C₇₃	—	4	2	no	—
485	C₂²×C₇₃	—	4	2	no	—
486	C₂²×C₇₃	—	4	1	no	—
487	C₂²×C₇₃	—	4	1	no	—
488	C₂²×C₇₃	—	4	2	no	—
489	C₂²×C₇₃	—	4	2	no	—
490	C₂²×C₇₃	—	16	2	no	—
491	C₂²×C₇₃	—	16	4	no	—
492	C₂²×C₇₃	#576	1	2	yes	—
493	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
494	C₄×C₇₃	—	2	1	no	—
495	C₄×C₇₃	—	2	1	no	—
496	C₄×C₇₃	—	2	2	no	—
497	C₄×C₇₃	—	2	2	no	—
498	C₄×C₇₃	—	2	1	no	—
499	C₄×C₇₃	—	2	1	no	—
500	C₄×C₇₃	—	2	1	no	—
501	C₄×C₇₃	—	2	2	no	—
502	C₄×C₇₃	—	4	1	no	—
503	C₄×C₇₃	—	4	2	no	—
504	C₄×C₇₃	—	4	1	no	—
505	C₄×C₇₃	—	4	2	no	—
506	C₄×C₇₃	—	4	2	no	—
507	C₄×C₇₃	—	4	2	no	—
508	C₄×C₇₃	—	4	1	no	—
509	C₄×C₇₃	#585	1	2	yes	—
510	#62605	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
511	C₂×C₇₃	—	2	2	no	—
512	C₂×C₇₃	—	4	2	no	—
513	C₂×C₇₃	—	8	1	no	—
514	C₂×C₇₃	—	8	2	no	—
515	C₂×C₇₃	—	8	2	no	—
516	C₂×C₇₃	#3500	1	1	yes	characteristic
517	C₂×C₇₃	C₂×#576	1	1	yes	characteristic
518	C₂×C₇₃	#3586	1	1	yes	characteristic
519	#3558	C₂×C₇₃	1	1	yes	characteristic, complemented
520	#3544	C₂×C₇₃	1	1	yes	characteristic, complemented
521	#3375	C₂×C₇₃	1	2	yes	complemented
522	#3370	C₂×C₇₃	1	2	yes	complemented
523	#3319	C₂×C₇₃	1	2	yes	complemented
524	#3314	C₂×C₇₃	1	2	yes	complemented
525	#3310	C₂×C₇₃	1	2	yes	complemented
526	#3308	C₂×C₇₃	1	2	yes	complemented
527	#3300	C₂×C₇₃	1	2	yes	complemented
528	#3294	C₂×C₇₃	1	2	yes	complemented
529	#3243	C₂×C₇₃	1	2	yes	complemented
530	#3226	C₂×C₇₃	1	1	yes	characteristic, complemented
531	#3224	C₂×C₇₃	1	2	yes	complemented
532	#3211	C₂×C₇₃	1	1	yes	characteristic, complemented
533	#3180	C₂×C₇₃	1	1	yes	characteristic, complemented
534	#3175	C₂×C₇₃	1	2	yes	complemented
535	#3136	C₂×C₇₃	1	2	yes	complemented
536	C₂×#489	C₂×C₇₃	1	1	yes	characteristic, complemented
537	#2968	C₂×C₇₃	1	1	yes	characteristic, complemented
538	C₇₃	#62605	1	1	yes	characteristic, direct product factor, Sylow
539	#563	—	2	2	no	—
540	#562	—	2	1	no	—
541	H(3,𝔽₄)	—	2	1	no	—
542	#559	C₂²×C₇₃	1	2	yes	—
543	Q₈²	C₂²×C₇₃	1	1	yes	characteristic, complemented
544	#555	C₂²×C₇₃	1	1	yes	characteristic, complemented
545	#554	C₂²×C₇₃	1	1	yes	characteristic, complemented
546	#554	C₂²×C₇₃	1	1	yes	characteristic, complemented
547	#552	—	2	1	no	—
548	#552	C₂²×C₇₃	1	2	yes	complemented
549	#548	C₂²×C₇₃	1	2	yes	—
550	#547	—	2	1	no	—
551	#547	C₂²×C₇₃	1	2	yes	complemented
552	#546	—	2	2	no	—
553	#546	C₂²×C₇₃	1	2	yes	—
554	D₄²	C₂²×C₇₃	1	2	yes	—
555	#544	—	2	1	no	—
556	#544	C₂²×C₇₃	1	2	yes	complemented
557	#542	—	2	1	no	—
558	#542	C₂²×C₇₃	1	2	yes	—
559	#542	C₂²×C₇₃	1	2	yes	complemented
560	#538	—	2	2	no	—
561	#538	—	2	1	no	—
562	#536	—	2	2	no	—
563	#535	C₂²×C₇₃	1	2	yes	—
564	#534	—	2	1	no	—
565	#532	C₂²×C₇₃	1	1	yes	characteristic
566	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
567	#529	C₂²×C₇₃	1	1	yes	characteristic
568	#529	C₂²×C₇₃	1	1	yes	characteristic, complemented
569	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
570	#501	C₂²×C₇₃	1	1	yes	characteristic, complemented
571	#500	C₂²×C₇₃	1	2	yes	complemented
572	#496	C₂²×C₇₃	1	1	yes	characteristic, complemented
573	#495	C₂²×C₇₃	1	2	yes	complemented
574	#490	C₂²×C₇₃	1	2	yes	—
575	#490	C₂²×C₇₃	1	1	yes	characteristic, complemented
576	#489	C₂²×C₇₃	1	2	yes	complemented
577	#489	C₂²×C₇₃	1	2	yes	complemented
578	#489	C₂²×C₇₃	1	2	yes	complemented
579	#489	C₂²×C₇₃	1	2	yes	complemented
580	#489	C₂²×C₇₃	1	2	yes	complemented
581	#489	C₂²×C₇₃	1	1	yes	characteristic, complemented
582	#488	C₂²×C₇₃	1	2	yes	complemented
583	#488	C₂²×C₇₃	1	2	yes	complemented
584	#486	C₂²×C₇₃	1	2	yes	—
585	#486	C₂²×C₇₃	1	2	yes	complemented
586	#485	C₂²×C₇₃	1	2	yes	complemented
587	#484	C₂²×C₇₃	1	2	yes	complemented
588	#482	C₂²×C₇₃	1	2	yes	—
589	#480	C₂²×C₇₃	1	2	yes	—
590	#480	C₂²×C₇₃	1	2	yes	complemented
591	#480	C₂²×C₇₃	1	2	yes	complemented
592	#479	C₂²×C₇₃	1	2	yes	complemented
593	#478	C₂²×C₇₃	1	2	yes	complemented
594	#477	C₂²×C₇₃	1	2	yes	complemented
595	#474	C₂²×C₇₃	1	2	yes	complemented
596	#474	C₂²×C₇₃	1	2	yes	complemented
597	#474	C₂²×C₇₃	1	2	yes	complemented
598	#468	C₂²×C₇₃	1	2	yes	—
599	#468	C₂²×C₇₃	1	2	yes	complemented
600	#467	C₂²×C₇₃	1	2	yes	complemented
601	#466	C₂²×C₇₃	1	2	yes	—
602	#466	C₂²×C₇₃	1	2	yes	complemented
603	#465	C₂²×C₇₃	1	2	yes	complemented
604	#464	C₂²×C₇₃	1	2	yes	complemented
605	#464	C₂²×C₇₃	1	2	yes	complemented
606	#463	C₂²×C₇₃	1	2	yes	complemented
607	#463	C₂²×C₇₃	1	2	yes	complemented
608	#460	C₂²×C₇₃	1	2	yes	—
609	#459	C₂²×C₇₃	1	2	yes	—
610	#452	C₂²×C₇₃	1	2	yes	complemented
611	#451	C₂²×C₇₃	1	1	yes	characteristic, complemented
612	#450	C₂²×C₇₃	1	1	yes	characteristic
613	#450	C₂²×C₇₃	1	2	yes	complemented
614	#449	C₂²×C₇₃	1	2	yes	complemented
615	#448	C₂²×C₇₃	1	1	yes	characteristic, complemented
616	#447	C₂²×C₇₃	1	1	yes	characteristic
617	#447	C₂²×C₇₃	1	2	yes	complemented
618	#446	C₂²×C₇₃	1	2	yes	complemented
619	#442	C₂²×C₇₃	1	2	yes	complemented
620	#440	C₂²×C₇₃	1	2	yes	complemented
621	#440	C₂²×C₇₃	1	2	yes	complemented
622	#440	C₂²×C₇₃	1	2	yes	complemented
623	C₄×Q₁₆	C₂²×C₇₃	1	2	yes	complemented
624	C₄×D₈	C₂²×C₇₃	1	2	yes	complemented
625	#435	C₂²×C₇₃	1	2	yes	complemented
626	#435	C₂²×C₇₃	1	2	yes	complemented
627	C₈×D₄	C₂²×C₇₃	1	2	yes	complemented
628	#433	C₂²×C₇₃	1	2	yes	complemented
629	#431	C₂²×C₇₃	1	1	yes	characteristic, complemented
630	#418	C₂²×C₇₃	1	2	yes	complemented
631	#417	C₂²×C₇₃	1	2	yes	complemented
632	#416	C₂²×C₇₃	1	2	yes	complemented
633	C₂×#103	C₂²×C₇₃	1	2	yes	complemented
634	C₂×#102	C₂²×C₇₃	1	2	yes	—
635	C₂×#102	C₂²×C₇₃	1	2	yes	complemented
636	#405	C₂²×C₇₃	1	2	yes	complemented
637	C₂×#97	C₂²×C₇₃	1	1	yes	characteristic, complemented
638	C₂×#41	—	2	2	no	—
639	C₂×#41	—	2	1	no	—
640	C₂×#41	C₂³×C₇₃	1	2	yes	—
641	C₂²×Q₈	—	2	1	no	—
642	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
643	C₂²×D₄	—	2	2	no	—
644	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
645	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
646	C₂×Q₁₆	C₂³×C₇₃	1	2	yes	—
647	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
648	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
649	C₂×SD₁₆	C₂³×C₇₃	1	2	yes	—
650	C₂×D₈	C₂³×C₇₃	1	2	yes	—
651	C₂×D₈	C₂³×C₇₃	1	2	yes	—
652	C₂×M₁₆	C₂³×C₇₃	1	2	yes	—
653	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
654	C₂²×C₈	C₂³×C₇₃	1	2	yes	—
655	C₄⋊Q₈	—	2	2	no	—
656	C₄⋊Q₈	—	2	2	no	—
657	C₄⋊Q₈	—	2	1	no	—
658	C₄⋊Q₈	—	2	1	no	—
659	C₄⋊Q₈	—	2	1	no	—
660	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
661	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
662	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
663	C₄⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
664	C₄⋊Q₈	C₂³×C₇₃	1	2	yes	—
665	#127	C₂³×C₇₃	1	1	yes	characteristic
666	#127	C₂³×C₇₃	1	2	yes	—
667	#126	—	2	2	no	—
668	#126	—	2	2	no	—
669	#126	—	2	2	no	—
670	#126	—	2	1	no	—
671	#126	D₄×C₇₃	1	2	yes	—
672	#125	—	2	1	no	—
673	#125	—	2	2	no	—
674	#125	—	2	2	no	—
675	#125	D₄×C₇₃	1	1	yes	characteristic
676	#125	C₂³×C₇₃	1	1	yes	characteristic
677	#125	C₂³×C₇₃	1	2	yes	—
678	#124	—	2	2	no	—
679	#124	—	2	2	no	—
680	#124	—	2	2	no	—
681	#124	—	2	2	no	—
682	#124	—	2	2	no	—
683	#124	—	2	1	no	—
684	#124	—	2	1	no	—
685	#124	—	2	1	no	—
686	#124	D₄×C₇₃	1	1	yes	characteristic
687	#124	C₂³×C₇₃	1	2	yes	—
688	#124	C₂³×C₇₃	1	2	yes	—
689	#124	C₂³×C₇₃	1	1	yes	characteristic
690	#124	C₂³×C₇₃	1	2	yes	—
691	#123	—	2	2	no	—
692	#123	—	2	1	no	—
693	#123	—	2	2	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	#123	—	2	2	no	—
699	#123	—	2	2	no	—
700	#123	D₄×C₇₃	1	2	yes	—
701	C₂²⋊Q₈	—	2	1	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	—	2	2	no	—
705	C₂²⋊Q₈	—	2	2	no	—
706	C₂²⋊Q₈	—	2	2	no	—
707	C₂²⋊Q₈	—	2	2	no	—
708	C₂²⋊Q₈	—	2	2	no	—
709	C₂²⋊Q₈	—	2	2	no	—
710	C₂²⋊Q₈	D₄×C₇₃	1	1	yes	characteristic
711	C₂²⋊Q₈	C₂³×C₇₃	1	1	yes	characteristic
712	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
713	C₂²⋊Q₈	C₂³×C₇₃	1	2	yes	—
714	#121	—	2	2	no	—
715	#121	—	2	1	no	—
716	#121	—	2	1	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	—	2	2	no	—
720	#121	—	2	2	no	—
721	#121	D₄×C₇₃	1	1	yes	characteristic
722	#121	C₂³×C₇₃	1	1	yes	characteristic
723	#121	C₂³×C₇₃	1	2	yes	—
724	#121	C₂³×C₇₃	1	2	yes	—
725	#121	C₂³×C₇₃	1	2	yes	—
726	#120	—	2	2	no	—
727	#120	—	2	2	no	—
728	#120	—	2	2	no	—
729	#120	—	2	2	no	—
730	#120	—	2	2	no	—
731	C₄×Q₈	—	2	1	no	—
732	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
733	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
734	C₄×Q₈	C₂³×C₇₃	1	2	yes	—
735	C₄×Q₈	C₂³×C₇₃	1	1	yes	characteristic
736	C₄×D₄	—	2	1	no	—
737	C₄×D₄	—	2	1	no	—
738	C₄×D₄	—	2	2	no	—
739	C₄×D₄	—	2	2	no	—
740	C₄×D₄	—	2	1	no	—
741	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
742	C₄×D₄	C₂³×C₇₃	1	2	yes	—
743	C₄×D₄	C₂³×C₇₃	1	2	yes	—
744	C₄×D₄	C₂³×C₇₃	1	2	yes	—
745	C₄×D₄	C₂³×C₇₃	1	2	yes	—
746	C₄×D₄	C₂³×C₇₃	1	1	yes	characteristic
747	#117	—	2	1	no	—
748	#117	—	2	2	no	—
749	#117	—	2	1	no	—
750	#117	C₂³×C₇₃	1	2	yes	—
751	#117	C₂³×C₇₃	1	2	yes	—
752	C₂×C₄⋊C₄	—	2	1	no	—
753	C₂×C₄⋊C₄	—	2	1	no	—
754	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
755	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
756	C₂×C₂²⋊C₄	—	2	1	no	—
757	C₂×C₂²⋊C₄	—	2	1	no	—
758	C₂×C₂²⋊C₄	—	2	2	no	—
759	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
760	#107	C₂³×C₇₃	1	2	yes	—
761	#107	C₂³×C₇₃	1	2	yes	—
762	#107	C₂³×C₇₃	1	2	yes	—
763	#107	C₂³×C₇₃	1	2	yes	—
764	#107	C₂³×C₇₃	1	2	yes	—
765	#106	C₂³×C₇₃	1	2	yes	—
766	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
767	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
768	C₄⋊C₈	C₂³×C₇₃	1	2	yes	—
769	#103	C₂³×C₇₃	1	2	yes	—
770	#103	C₂³×C₇₃	1	2	yes	—
771	#103	C₂³×C₇₃	1	2	yes	—
772	#103	C₂³×C₇₃	1	2	yes	—
773	#103	C₂³×C₇₃	1	2	yes	—
774	#103	C₂³×C₇₃	1	2	yes	—
775	#103	C₂³×C₇₃	1	2	yes	—
776	#102	C₂³×C₇₃	1	2	yes	—
777	#102	C₂³×C₇₃	1	2	yes	—
778	#102	C₂³×C₇₃	1	2	yes	—
779	#102	C₂³×C₇₃	1	2	yes	—
780	#102	C₂³×C₇₃	1	2	yes	—
781	#102	C₂³×C₇₃	1	2	yes	—
782	#102	C₂³×C₇₃	1	2	yes	—
783	#102	C₂³×C₇₃	1	2	yes	—
784	#102	C₂³×C₇₃	1	2	yes	—
785	#102	C₂³×C₇₃	1	2	yes	—
786	#102	C₂³×C₇₃	1	2	yes	—
787	#102	C₂³×C₇₃	1	2	yes	—
788	#102	C₂³×C₇₃	1	2	yes	—
789	C₂²⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
790	C₂²⋊C₈	C₂³×C₇₃	1	1	yes	characteristic
791	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
792	C₂²⋊C₈	C₂³×C₇₃	1	2	yes	—
793	#97	C₂³×C₇₃	1	1	yes	characteristic
794	#97	C₂³×C₇₃	1	1	yes	characteristic
795	#97	C₂³×C₇₃	1	2	yes	—
796	#97	C₂³×C₇₃	1	2	yes	—
797	C₄×C₈	C₂³×C₇₃	1	2	yes	—
798	C₄×C₈	C₂³×C₇₃	1	2	yes	—
799	C₂⁴	—	2	1	no	—
800	C₂⁴	—	2	2	no	—
801	#41	—	4	2	no	—
802	#41	—	4	2	no	—
803	#41	—	8	2	no	—
804	#41	—	8	4	no	—
805	C₂×Q₈	—	2	1	no	—
806	C₂×Q₈	—	2	1	no	—
807	C₂×Q₈	—	2	1	no	—
808	C₂×Q₈	—	2	2	no	—
809	C₂×Q₈	—	2	2	no	—
810	C₂×Q₈	—	2	1	no	—
811	C₂×Q₈	—	4	2	no	—
812	C₂×Q₈	—	8	2	no	—
813	C₂×Q₈	C₂×D₄×C₇₃	1	1	yes	characteristic
814	C₂×Q₈	C₂⁴×C₇₃	1	2	yes	—
815	C₂×Q₈	C₂⁴×C₇₃	1	1	yes	characteristic
816	C₂×D₄	—	2	2	no	—
817	C₂×D₄	—	2	1	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	1	no	—
823	C₂×D₄	—	2	1	no	—
824	C₂×D₄	—	2	1	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	4	2	no	—
828	C₂×D₄	—	4	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	8	4	no	—
831	C₂×D₄	C₂×D₄×C₇₃	1	2	yes	—
832	C₂×D₄	C₂×D₄×C₇₃	1	1	yes	characteristic
833	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
834	C₂×D₄	C₂⁴×C₇₃	1	2	yes	—
835	C₂×D₄	C₂⁴×C₇₃	1	1	yes	characteristic
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
845	C₂²×C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
846	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
847	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
848	Q₁₆	—	4	2	no	—
849	SD₁₆	—	4	2	no	—
850	SD₁₆	—	4	2	no	—
851	SD₁₆	—	4	2	no	—
852	D₈	—	4	2	no	—
853	D₈	—	4	2	no	—
854	M₁₆	—	4	2	no	—
855	C₂×C₈	—	4	2	no	—
856	C₂×C₈	—	4	2	no	—
857	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
858	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
859	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
860	C₂×C₈	C₂⁴×C₇₃	1	2	yes	—
861	C₄⋊C₄	—	2	1	no	—
862	C₄⋊C₄	—	2	1	no	—
863	C₄⋊C₄	—	2	2	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	2	no	—
866	C₄⋊C₄	—	2	2	no	—
867	C₄⋊C₄	—	2	2	no	—
868	C₄⋊C₄	—	2	2	no	—
869	C₄⋊C₄	—	2	1	no	—
870	C₄⋊C₄	—	2	1	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	1	no	—
873	C₄⋊C₄	—	2	1	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	1	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
879	C₄⋊C₄	C₂×D₄×C₇₃	1	1	yes	characteristic
880	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
881	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
882	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
883	C₄⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
884	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
885	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
886	C₄⋊C₄	C₂⁴×C₇₃	1	1	yes	characteristic
887	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
888	C₄⋊C₄	C₂⁴×C₇₃	1	2	yes	—
889	C₂²⋊C₄	—	2	2	no	—
890	C₂²⋊C₄	—	2	1	no	—
891	C₂²⋊C₄	—	2	2	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	2	2	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	1	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	1	no	—
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	1	no	—
909	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
910	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
911	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
912	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
913	C₂²⋊C₄	C₂×D₄×C₇₃	1	2	yes	—
914	C₄²	—	2	2	no	—
915	C₄²	—	2	1	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	2	2	no	—
918	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
919	C₄²	C₂×D₄×C₇₃	1	1	yes	characteristic
920	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
921	C₄²	C₂⁴×C₇₃	1	2	yes	—
922	C₄²	C₂⁴×C₇₃	1	1	yes	characteristic
923	C₂³	—	2	1	no	—
924	C₂³	—	2	2	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	4	2	no	—
927	C₂³	—	8	1	no	—
928	C₂³	—	8	2	no	—
929	C₂³	—	8	2	no	—
930	C₂³	—	8	1	no	—
931	C₂³	—	8	2	no	—
932	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
933	C₂³	C₂²×D₄×C₇₃	1	1	yes	characteristic
934	Q₈	—	2	2	no	—
935	Q₈	—	2	2	no	—
936	Q₈	—	2	2	no	—
937	Q₈	—	4	1	no	—
938	Q₈	—	8	1	no	—
939	Q₈	—	8	1	no	—
940	Q₈	—	8	1	no	—
941	Q₈	—	8	2	no	—
942	Q₈	—	8	1	no	—
943	Q₈	—	8	2	no	—
944	D₄	—	2	4	no	—
945	D₄	—	2	2	no	—
946	D₄	—	2	2	no	—
947	D₄	—	2	2	no	—
948	D₄	—	2	2	no	—
949	D₄	—	2	2	no	—
950	D₄	—	4	1	no	—
951	D₄	—	4	4	no	—
952	D₄	—	4	2	no	—
953	D₄	—	8	2	no	—
954	D₄	—	8	1	no	—
955	D₄	—	8	2	no	—
956	D₄	—	8	1	no	—
957	D₄	—	8	1	no	—
958	D₄	—	8	2	no	—
959	D₄	—	8	2	no	—
960	D₄	—	8	2	no	—
961	D₄	—	8	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	4	1	no	—
974	C₂×C₄	—	4	2	no	—
975	C₂×C₄	—	4	4	no	—
976	C₂×C₄	—	8	2	no	—
977	C₂×C₄	—	8	2	no	—
978	C₂×C₄	—	8	2	no	—
979	C₂×C₄	—	8	2	no	—
980	C₂×C₄	—	8	1	no	—
981	C₂×C₄	—	8	2	no	—
982	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
983	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
984	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
985	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
986	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
987	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
988	C₂×C₄	C₂²×D₄×C₇₃	1	1	yes	characteristic
989	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
990	C₂×C₄	C₂⁵×C₇₃	1	1	yes	characteristic
991	C₈	—	2	2	no	—
992	C₈	—	2	2	no	—
993	C₈	—	2	2	no	—
994	C₈	—	2	2	no	—
995	C₂²	—	2	1	no	—
996	C₂²	—	2	1	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	2	2	no	—
999	C₂²	—	2	2	no	—
1000	C₂²	—	4	2	no	—
1001	C₂²	—	4	2	no	—
1002	C₂²	—	4	1	no	—
1003	C₂²	—	4	1	no	—
1004	C₂²	—	4	2	no	—
1005	C₂²	—	4	2	no	—
1006	C₂²	—	4	1	no	—
1007	C₂²	—	4	2	no	—
1008	C₂²	—	4	2	no	—
1009	C₂²	—	16	2	no	—
1010	C₂²	—	16	4	no	—
1011	C₂²	#576×C₇₃	1	2	yes	—
1012	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1013	C₄	—	2	2	no	—
1014	C₄	—	2	1	no	—
1015	C₄	—	2	1	no	—
1016	C₄	—	2	1	no	—
1017	C₄	—	2	2	no	—
1018	C₄	—	2	1	no	—
1019	C₄	—	2	1	no	—
1020	C₄	—	2	2	no	—
1021	C₄	—	4	2	no	—
1022	C₄	—	4	1	no	—
1023	C₄	—	4	2	no	—
1024	C₄	—	4	2	no	—
1025	C₄	—	4	2	no	—
1026	C₄	—	4	1	no	—
1027	C₄	—	4	1	no	—
1028	C₄	#585×C₇₃	1	2	yes	—
1029	C₂	—	2	2	no	—
1030	C₂	—	4	2	no	—
1031	C₂	—	8	2	no	—
1032	C₂	—	8	2	no	—
1033	C₂	—	8	1	no	—
1034	C₂	C₇₃×#3500	1	1	yes	characteristic
1035	C₂	C₂×#576×C₇₃	1	1	yes	characteristic
1036	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×#3558	C₂	semidirect
2. C₇₃×#3544	C₂	semidirect
3. C₇₃×#3375	C₂	semidirect
4. C₇₃×#3370	C₂	semidirect
5. C₇₃×#3319	C₂	semidirect
6. C₇₃×#3314	C₂	semidirect
7. C₇₃×#3310	C₂	semidirect
8. C₇₃×#3308	C₂	semidirect
9. C₇₃×#3300	C₂	semidirect
10. C₇₃×#3294	C₂	semidirect
11. C₇₃×#3243	C₂	semidirect
12. C₇₃×#3226	C₂	semidirect
13. C₇₃×#3224	C₂	semidirect
14. C₇₃×#3211	C₂	semidirect
15. C₇₃×#3180	C₂	semidirect
16. C₇₃×#3175	C₂	semidirect
17. C₇₃×#3136	C₂	semidirect
18. C₂×#489×C₇₃	C₂	semidirect
19. C₇₃×#2968	C₂	semidirect
24. Q₈²×C₇₃	C₂²	semidirect
25. #555×C₇₃	C₂²	semidirect
26. #554×C₇₃	C₂²	semidirect
27. #554×C₇₃	C₂²	semidirect
29. #552×C₇₃	C₂²	semidirect
32. #547×C₇₃	C₂²	semidirect
37. #544×C₇₃	C₂²	semidirect
40. #542×C₇₃	C₂²	semidirect
47. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
49. #529×C₇₃	C₂²	semidirect
51. #501×C₇₃	C₂²	semidirect
52. #500×C₇₃	C₂²	semidirect
53. #496×C₇₃	C₂²	semidirect
54. #495×C₇₃	C₂²	semidirect
56. #490×C₇₃	C₂²	semidirect
57. #489×C₇₃	C₂²	semidirect
58. #489×C₇₃	C₂²	semidirect
59. #489×C₇₃	C₂²	semidirect
60. #489×C₇₃	C₂²	semidirect
61. #489×C₇₃	C₂²	semidirect
62. #489×C₇₃	C₂²	semidirect
63. #488×C₇₃	C₂²	semidirect
64. #488×C₇₃	C₂²	semidirect
66. #486×C₇₃	C₂²	semidirect
67. #485×C₇₃	C₂²	semidirect
68. #484×C₇₃	C₂²	semidirect
71. #480×C₇₃	C₂²	semidirect
72. #480×C₇₃	C₂²	semidirect
73. #479×C₇₃	C₂²	semidirect
74. #478×C₇₃	C₂²	semidirect
75. #477×C₇₃	C₂²	semidirect
76. #474×C₇₃	C₂²	semidirect
77. #474×C₇₃	C₂²	semidirect
78. #474×C₇₃	C₂²	semidirect
80. #468×C₇₃	C₂²	semidirect
81. #467×C₇₃	C₂²	semidirect
83. #466×C₇₃	C₂²	semidirect
84. #465×C₇₃	C₂²	semidirect
85. #464×C₇₃	C₂²	semidirect
86. #464×C₇₃	C₂²	semidirect
87. #463×C₇₃	C₂²	semidirect
88. #463×C₇₃	C₂²	semidirect
91. #452×C₇₃	C₂²	semidirect
92. #451×C₇₃	C₂²	semidirect
94. #450×C₇₃	C₂²	semidirect
95. #449×C₇₃	C₂²	semidirect
96. #448×C₇₃	C₂²	semidirect
98. #447×C₇₃	C₂²	semidirect
99. #446×C₇₃	C₂²	semidirect
100. #442×C₇₃	C₂²	semidirect
101. #440×C₇₃	C₂²	semidirect
102. #440×C₇₃	C₂²	semidirect
103. #440×C₇₃	C₂²	semidirect
104. C₄×Q₁₆×C₇₃	C₂²	semidirect
105. C₄×D₈×C₇₃	C₂²	semidirect
106. #435×C₇₃	C₂²	semidirect
107. #435×C₇₃	C₂²	semidirect
108. C₈×D₄×C₇₃	C₂²	semidirect
109. #433×C₇₃	C₂²	semidirect
110. #431×C₇₃	C₂²	semidirect
111. #418×C₇₃	C₂²	semidirect
112. #417×C₇₃	C₂²	semidirect
113. #416×C₇₃	C₂²	semidirect
114. C₂×#103×C₇₃	C₂²	semidirect
116. C₂×#102×C₇₃	C₂²	semidirect
117. #405×C₇₃	C₂²	semidirect
118. C₂×#97×C₇₃	C₂²	semidirect
510. #62605	C₇₃	direct (N × H)
519. #3558	C₂×C₇₃	semidirect
520. #3544	C₂×C₇₃	semidirect
521. #3375	C₂×C₇₃	semidirect
522. #3370	C₂×C₇₃	semidirect
523. #3319	C₂×C₇₃	semidirect
524. #3314	C₂×C₇₃	semidirect
525. #3310	C₂×C₇₃	semidirect
526. #3308	C₂×C₇₃	semidirect
527. #3300	C₂×C₇₃	semidirect
528. #3294	C₂×C₇₃	semidirect
529. #3243	C₂×C₇₃	semidirect
530. #3226	C₂×C₇₃	semidirect
531. #3224	C₂×C₇₃	semidirect
532. #3211	C₂×C₇₃	semidirect
533. #3180	C₂×C₇₃	semidirect
534. #3175	C₂×C₇₃	semidirect
535. #3136	C₂×C₇₃	semidirect
536. C₂×#489	C₂×C₇₃	semidirect
537. #2968	C₂×C₇₃	semidirect
538. C₇₃	#62605	direct (N × H)
543. Q₈²	C₂²×C₇₃	semidirect
544. #555	C₂²×C₇₃	semidirect
545. #554	C₂²×C₇₃	semidirect
546. #554	C₂²×C₇₃	semidirect
548. #552	C₂²×C₇₃	semidirect
551. #547	C₂²×C₇₃	semidirect
556. #544	C₂²×C₇₃	semidirect
559. #542	C₂²×C₇₃	semidirect
566. C₂×C₄⋊Q₈	C₂²×C₇₃	semidirect
568. #529	C₂²×C₇₃	semidirect
570. #501	C₂²×C₇₃	semidirect
571. #500	C₂²×C₇₃	semidirect
572. #496	C₂²×C₇₃	semidirect
573. #495	C₂²×C₇₃	semidirect
575. #490	C₂²×C₇₃	semidirect
576. #489	C₂²×C₇₃	semidirect
577. #489	C₂²×C₇₃	semidirect
578. #489	C₂²×C₇₃	semidirect
579. #489	C₂²×C₇₃	semidirect
580. #489	C₂²×C₇₃	semidirect
581. #489	C₂²×C₇₃	semidirect
582. #488	C₂²×C₇₃	semidirect
583. #488	C₂²×C₇₃	semidirect
585. #486	C₂²×C₇₃	semidirect
586. #485	C₂²×C₇₃	semidirect
587. #484	C₂²×C₇₃	semidirect
590. #480	C₂²×C₇₃	semidirect
591. #480	C₂²×C₇₃	semidirect
592. #479	C₂²×C₇₃	semidirect
593. #478	C₂²×C₇₃	semidirect
594. #477	C₂²×C₇₃	semidirect
595. #474	C₂²×C₇₃	semidirect
596. #474	C₂²×C₇₃	semidirect
597. #474	C₂²×C₇₃	semidirect
599. #468	C₂²×C₇₃	semidirect
600. #467	C₂²×C₇₃	semidirect
602. #466	C₂²×C₇₃	semidirect
603. #465	C₂²×C₇₃	semidirect
604. #464	C₂²×C₇₃	semidirect
605. #464	C₂²×C₇₃	semidirect
606. #463	C₂²×C₇₃	semidirect
607. #463	C₂²×C₇₃	semidirect
610. #452	C₂²×C₇₃	semidirect
611. #451	C₂²×C₇₃	semidirect
613. #450	C₂²×C₇₃	semidirect
614. #449	C₂²×C₇₃	semidirect
615. #448	C₂²×C₇₃	semidirect
617. #447	C₂²×C₇₃	semidirect
618. #446	C₂²×C₇₃	semidirect
619. #442	C₂²×C₇₃	semidirect
620. #440	C₂²×C₇₃	semidirect
621. #440	C₂²×C₇₃	semidirect
622. #440	C₂²×C₇₃	semidirect
623. C₄×Q₁₆	C₂²×C₇₃	semidirect
624. C₄×D₈	C₂²×C₇₃	semidirect
625. #435	C₂²×C₇₃	semidirect
626. #435	C₂²×C₇₃	semidirect
627. C₈×D₄	C₂²×C₇₃	semidirect
628. #433	C₂²×C₇₃	semidirect
629. #431	C₂²×C₇₃	semidirect
630. #418	C₂²×C₇₃	semidirect
631. #417	C₂²×C₇₃	semidirect
632. #416	C₂²×C₇₃	semidirect
633. C₂×#103	C₂²×C₇₃	semidirect
635. C₂×#102	C₂²×C₇₃	semidirect
636. #405	C₂²×C₇₃	semidirect
637. C₂×#97	C₂²×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₇₃×#3558	2
C₇₃×#3544	2
C₇₃×#3375	2
C₇₃×#3370	2
C₇₃×#3319	2
C₇₃×#3314	2
C₇₃×#3310	2
C₇₃×#3308	2
C₇₃×#3300	2
C₇₃×#3294	2
C₇₃×#3243	2
C₇₃×#3226	2
C₇₃×#3224	2
C₇₃×#3211	2
C₇₃×#3180	2
C₇₃×#3175	2
C₇₃×#3136	2
C₂×#489×C₇₃	2
C₇₃×#2968	2
#62605	73

Subgroups — C73×#62605 #32972009

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#62605 #32972009