Subgroups — #3136×D₇₃ #33955214

Order 18688.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1274 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#544×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	#535×D₇₃	C₂	1	1	yes	maximal, characteristic
3	#22620290	C₂	1	1	yes	maximal, characteristic, complemented
4	#22620289	C₂	1	1	yes	maximal, characteristic, complemented
5	#22620288	C₂	1	1	yes	maximal, characteristic, complemented
6	#22620287	C₂	1	1	yes	maximal, characteristic, complemented
7	#22620286	C₂	1	2	yes	maximal, complemented
8	#22620285	C₂	1	1	yes	maximal, characteristic, complemented
9	#22620284	C₂	1	2	yes	maximal, complemented
10	#22620283	C₂	1	1	yes	maximal, characteristic, complemented
11	#22620282	C₂	1	2	yes	maximal, complemented
12	#22620281	C₂	1	1	yes	maximal, characteristic, complemented
13	#22620280	C₂	1	2	yes	maximal, complemented
14	#490×D₇₃	C₂	1	2	yes	maximal, complemented
15	#489×D₇₃	C₂	1	2	yes	maximal, complemented
16	#488×D₇₃	C₂	1	2	yes	maximal, complemented
17	#486×D₇₃	C₂	1	2	yes	maximal, complemented
18	#417×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#418×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#416×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#102×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#405×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3136	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₇₃	C₂²	1	1	yes	characteristic
25	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
26	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₇₃	C₂²	1	1	yes	characteristic
28	#17989218	C₂²	1	1	yes	characteristic, complemented
29	#17989217	—	2	1	no	—
30	#17989217	C₂²	1	2	yes	complemented
31	#17989216	—	2	2	no	—
32	#17989215	C₂²	1	1	yes	characteristic, complemented
33	#17989215	C₂²	1	1	yes	characteristic, complemented
34	#17989214	—	2	1	no	—
35	#17989214	C₂²	1	2	yes	complemented
36	#17989156	C₂²	1	1	yes	characteristic
37	#17989155	C₂²	1	2	yes	—
38	#17989154	C₂²	1	1	yes	characteristic
39	#17989153	—	2	1	no	—
40	#17989153	—	2	1	no	—
41	#17989152	—	2	2	no	—
42	#17989151	C₂²	1	1	yes	characteristic
43	#17989150	C₂²	1	2	yes	—
44	C₄⋊Q₈×D₇₃	—	2	1	no	—
45	C₄⋊Q₈×D₇₃	C₂²	1	2	yes	complemented
46	#127×D₇₃	C₂²	1	2	yes	—
47	#125×D₇₃	—	2	1	no	—
48	#125×D₇₃	C₂²	1	2	yes	complemented
49	#124×D₇₃	C₂²	1	2	yes	—
50	C₂²⋊Q₈×D₇₃	—	2	2	no	—
51	#121×D₇₃	—	2	1	no	—
52	#121×D₇₃	—	2	1	no	—
53	#120×D₇₃	—	2	2	no	—
54	#117×D₇₃	C₂²	1	1	yes	characteristic
55	#117×D₇₃	C₂²	1	1	yes	characteristic
56	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
57	#17988953	C₂²	1	2	yes	complemented
58	#17988952	C₂²	1	2	yes	complemented
59	#17988951	C₂²	1	2	yes	complemented
60	#17988950	C₂²	1	2	yes	complemented
61	#17988950	C₂²	1	2	yes	complemented
62	#17988950	C₂²	1	2	yes	complemented
63	#17988950	C₂²	1	2	yes	complemented
64	#17988949	C₂²	1	2	yes	complemented
65	#17988948	C₂²	1	2	yes	complemented
66	#17988948	C₂²	1	2	yes	complemented
67	#17988947	C₂²	1	2	yes	complemented
68	#17988946	C₂²	1	2	yes	complemented
69	#17988945	C₂²	1	2	yes	complemented
70	#17988945	C₂²	1	2	yes	complemented
71	#17988944	C₂²	1	2	yes	complemented
72	#17988943	C₂²	1	2	yes	complemented
73	#17988943	C₂²	1	2	yes	complemented
74	#17988942	C₂²	1	2	yes	complemented
75	#17988941	C₂²	1	2	yes	complemented
76	#17988940	C₂²	1	2	yes	complemented
77	#17988940	C₂²	1	2	yes	complemented
78	#17988935	C₂²	1	2	yes	complemented
79	#17988934	C₂²	1	2	yes	complemented
80	#17988933	C₂²	1	2	yes	complemented
81	#17988932	C₂²	1	2	yes	complemented
82	#17988932	C₂²	1	2	yes	complemented
83	#17988932	C₂²	1	2	yes	complemented
84	#17988932	C₂²	1	2	yes	complemented
85	#17988593	C₂²	1	1	yes	characteristic, complemented
86	#17988592	C₂²	1	1	yes	characteristic, complemented
87	#17988591	C₂²	1	1	yes	characteristic, complemented
88	#17988590	C₂²	1	2	yes	complemented
89	#17988590	C₂²	1	2	yes	complemented
90	#17988589	C₂²	1	1	yes	characteristic, complemented
91	#17988588	C₂²	1	1	yes	characteristic, complemented
92	#17988587	C₂²	1	2	yes	complemented
93	#17988586	C₂²	1	1	yes	characteristic, complemented
94	#17988585	C₂²	1	2	yes	complemented
95	#17988584	C₂²	1	1	yes	characteristic, complemented
96	#17988583	C₂²	1	1	yes	characteristic, complemented
97	#17988582	C₂²	1	1	yes	characteristic, complemented
98	#17988582	C₂²	1	1	yes	characteristic, complemented
99	#17988581	C₂²	1	1	yes	characteristic, complemented
100	#17988580	C₂²	1	1	yes	characteristic, complemented
101	#17988580	C₂²	1	1	yes	characteristic, complemented
102	#103×D₇₃	C₂²	1	1	yes	characteristic, complemented
103	#103×D₇₃	C₂²	1	1	yes	characteristic, complemented
104	#103×D₇₃	C₂²	1	2	yes	complemented
105	C₂×#14556513	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14556512	C₂²	1	1	yes	characteristic, complemented
107	C₂×#14556511	C₂²	1	1	yes	characteristic, complemented
108	#102×D₇₃	C₂²	1	2	yes	—
109	#102×D₇₃	C₂²	1	2	yes	—
110	#102×D₇₃	C₂²	1	2	yes	—
111	#102×D₇₃	C₂²	1	2	yes	—
112	#102×D₇₃	C₂²	1	2	yes	complemented
113	#102×D₇₃	C₂²	1	2	yes	complemented
114	#102×D₇₃	C₂²	1	1	yes	characteristic, complemented
115	#102×D₇₃	C₂²	1	1	yes	characteristic, complemented
116	#102×D₇₃	C₂²	1	2	yes	complemented
117	#17988545	C₂²	1	1	yes	characteristic, complemented
118	#17988544	C₂²	1	2	yes	complemented
119	#17988543	C₂²	1	1	yes	characteristic, complemented
120	#17988542	C₂²	1	1	yes	characteristic, complemented
121	#17988541	C₂²	1	2	yes	complemented
122	#97×D₇₃	C₂²	1	2	yes	complemented
123	C₄×C₈×D₇₃	C₂²	1	2	yes	complemented
124	#544×C₇₃	C₂²	1	1	yes	characteristic, complemented
125	#535×C₇₃	C₂²	1	1	yes	characteristic
126	#490×C₇₃	C₂²	1	2	yes	complemented
127	#489×C₇₃	C₂²	1	2	yes	complemented
128	#488×C₇₃	C₂²	1	2	yes	complemented
129	#486×C₇₃	C₂²	1	2	yes	complemented
130	#418×C₇₃	C₂²	1	1	yes	characteristic, complemented
131	#417×C₇₃	C₂²	1	1	yes	characteristic, complemented
132	#416×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×#102×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	#405×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₇₃	—	2	1	no	—
136	C₂×#11924029	C₂³	1	1	yes	characteristic
137	C₂×#11924028	—	2	1	no	—
138	C₂×#11924028	C₂³	1	1	yes	characteristic
139	C₂×#11924027	—	2	1	no	—
140	C₂×#11924027	C₂³	1	1	yes	characteristic
141	#41×D₇₃	—	2	4	no	—
142	#41×D₇₃	—	2	4	no	—
143	C₂×Q₈×D₇₃	—	2	2	no	—
144	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
145	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
146	C₂²×C₂²⋊D₇₃	—	2	1	no	—
147	C₂×D₄×D₇₃	—	2	1	no	—
148	C₂×D₄×D₇₃	—	2	1	no	—
149	C₂×D₄×D₇₃	—	2	1	no	—
150	C₂×D₄×D₇₃	—	2	2	no	—
151	C₂×D₄×D₇₃	—	2	2	no	—
152	C₂×D₄×D₇₃	—	2	4	no	—
153	C₂×D₄×D₇₃	—	2	4	no	—
154	C₂×D₄×D₇₃	C₂³	1	1	yes	characteristic
155	C₂×D₄×D₇₃	C₂³	1	2	yes	—
156	C₂×D₄×D₇₃	C₂³	1	2	yes	—
157	C₂²×C₄×D₇₃	—	2	1	no	—
158	C₂²×C₄×D₇₃	—	2	1	no	—
159	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
160	C₂×#11924012	C₂³	1	1	yes	characteristic
161	C₂×#11924011	C₂³	1	2	yes	—
162	M₁₆×D₇₃	—	2	4	no	—
163	C₂²×#10596831	C₂³	1	1	yes	characteristic
164	C₂×C₈×D₇₃	—	2	4	no	—
165	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
166	C₂×C₈×D₇₃	C₂³	1	2	yes	—
167	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
168	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
169	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
170	#14556591	—	2	1	no	—
171	#14556591	C₂³	1	2	yes	complemented
172	#14556590	—	2	1	no	—
173	#14556590	—	2	2	no	—
174	#14556590	—	2	2	no	—
175	#14556590	—	2	1	no	—
176	#14556590	C₂³	1	2	yes	complemented
177	#14556590	C₂³	1	2	yes	complemented
178	#14556589	—	2	2	no	—
179	#14556589	—	2	2	no	—
180	#14556588	C₂³	1	2	yes	—
181	#14556587	—	2	2	no	—
182	#14556587	—	2	2	no	—
183	#14556587	C₂³	1	2	yes	—
184	#14556587	C₂³	1	2	yes	—
185	#14556583	—	2	1	no	—
186	#14556583	C₂³	1	2	yes	complemented
187	#14556582	—	2	1	no	—
188	#14556582	—	2	1	no	—
189	#14556582	C₂³	1	2	yes	complemented
190	#14556582	C₂³	1	2	yes	complemented
191	#14556581	—	2	2	no	—
192	#14556581	—	2	2	no	—
193	#14556581	—	2	2	no	—
194	#14556581	—	2	2	no	—
195	#14556580	C₂³	1	2	yes	—
196	#14556579	C₂³	1	2	yes	—
197	#14556578	C₂³	1	2	yes	—
198	#14556577	—	2	2	no	—
199	#14556577	—	2	2	no	—
200	#14556571	—	2	2	no	—
201	#14556570	—	2	2	no	—
202	#14556569	—	2	2	no	—
203	#14556569	—	2	2	no	—
204	#14556568	—	2	2	no	—
205	#14556568	—	2	2	no	—
206	#14556567	—	2	2	no	—
207	#14556566	—	2	1	no	—
208	#14556566	—	2	1	no	—
209	#14556565	—	2	1	no	—
210	#14556565	—	2	1	no	—
211	#14556564	—	2	2	no	—
212	#14556564	—	2	2	no	—
213	#14556563	—	2	2	no	—
214	#14556563	—	2	2	no	—
215	#14556562	—	2	1	no	—
216	#14556562	—	2	1	no	—
217	#14556561	—	2	2	no	—
218	#14556561	—	2	2	no	—
219	#14556561	—	2	2	no	—
220	#14556560	—	2	2	no	—
221	#14556559	—	2	2	no	—
222	#14556559	—	2	2	no	—
223	#14556559	—	2	2	no	—
224	#14556550	C₂³	1	1	yes	characteristic
225	#14556550	C₂³	1	1	yes	characteristic
226	#14556549	D₄	1	1	yes	characteristic
227	#14556549	D₄	1	1	yes	characteristic
228	#14556549	C₂³	1	1	yes	characteristic
229	#14556549	C₂³	1	1	yes	characteristic
230	#14556548	—	2	1	no	—
231	#14556548	C₂³	1	2	yes	—
232	#14556547	—	2	1	no	—
233	#14556547	D₄	1	2	yes	—
234	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
235	C₂×#11924007	—	2	1	no	—
236	C₄⋊C₄×D₇₃	—	2	1	no	—
237	C₄⋊C₄×D₇₃	—	2	2	no	—
238	C₄⋊C₄×D₇₃	—	2	2	no	—
239	C₄⋊C₄×D₇₃	—	2	1	no	—
240	C₄⋊C₄×D₇₃	—	2	2	no	—
241	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
242	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
243	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
244	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
245	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
246	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
247	C₂²⋊C₄×D₇₃	—	2	1	no	—
248	C₂²⋊C₄×D₇₃	—	2	2	no	—
249	C₂²⋊C₄×D₇₃	—	2	2	no	—
250	C₂²⋊C₄×D₇₃	D₄	1	2	yes	—
251	C₄²×D₇₃	—	2	1	no	—
252	C₄²×D₇₃	C₂³	1	2	yes	—
253	#14556516	C₂³	1	1	yes	characteristic, complemented
254	#14556516	C₂³	1	2	yes	complemented
255	#14556516	C₂³	1	1	yes	characteristic, complemented
256	#14556515	C₂³	1	1	yes	characteristic, complemented
257	#14556515	C₂³	1	2	yes	complemented
258	#14556515	C₂³	1	1	yes	characteristic, complemented
259	#14556514	C₂³	1	1	yes	characteristic, complemented
260	#14556514	C₂³	1	2	yes	complemented
261	#14556514	C₂³	1	1	yes	characteristic, complemented
262	#14556513	C₂³	1	2	yes	—
263	#14556513	C₂³	1	2	yes	—
264	#14556513	C₂³	1	2	yes	—
265	#14556513	C₂³	1	2	yes	—
266	#14556513	C₂³	1	1	yes	characteristic, complemented
267	#14556513	C₂³	1	2	yes	complemented
268	#14556513	C₂³	1	1	yes	characteristic, complemented
269	#14556512	C₂³	1	2	yes	—
270	#14556512	C₂³	1	2	yes	—
271	#14556512	C₂³	1	2	yes	—
272	#14556512	C₂³	1	2	yes	—
273	#14556512	C₂³	1	1	yes	characteristic, complemented
274	#14556512	C₂³	1	2	yes	complemented
275	#14556512	C₂³	1	1	yes	characteristic, complemented
276	#14556511	C₂³	1	2	yes	—
277	#14556511	C₂³	1	2	yes	—
278	#14556511	C₂³	1	2	yes	—
279	#14556511	C₂³	1	2	yes	—
280	#14556511	C₂³	1	1	yes	characteristic, complemented
281	#14556511	C₂³	1	2	yes	complemented
282	#14556511	C₂³	1	1	yes	characteristic, complemented
283	#14556502	C₂³	1	2	yes	complemented
284	#14556501	C₂³	1	2	yes	complemented
285	#14556501	C₂³	1	2	yes	complemented
286	C₄×#10596831	C₂³	1	2	yes	complemented
287	C₈×Dic₇₃	C₂³	1	2	yes	complemented
288	C₈×Dic₇₃	C₂³	1	2	yes	complemented
289	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
290	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
291	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
292	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
293	C₄⋊Q₈×C₇₃	—	2	1	no	—
294	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	complemented
295	#127×C₇₃	C₂³	1	2	yes	—
296	#125×C₇₃	—	2	1	no	—
297	#125×C₇₃	C₂³	1	2	yes	complemented
298	#124×C₇₃	C₂³	1	2	yes	—
299	C₂²⋊Q₈×C₇₃	—	2	2	no	—
300	#121×C₇₃	—	2	1	no	—
301	#121×C₇₃	—	2	1	no	—
302	#120×C₇₃	—	2	2	no	—
303	#117×C₇₃	C₂³	1	1	yes	characteristic
304	#117×C₇₃	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
306	#103×C₇₃	C₂³	1	1	yes	characteristic, complemented
307	#103×C₇₃	C₂³	1	1	yes	characteristic, complemented
308	#103×C₇₃	C₂³	1	2	yes	complemented
309	#102×C₇₃	C₂³	1	2	yes	—
310	#102×C₇₃	C₂³	1	2	yes	—
311	#102×C₇₃	C₂³	1	2	yes	—
312	#102×C₇₃	C₂³	1	2	yes	—
313	#102×C₇₃	C₂³	1	1	yes	characteristic, complemented
314	#102×C₇₃	C₂³	1	1	yes	characteristic, complemented
315	#102×C₇₃	C₂³	1	2	yes	complemented
316	#97×C₇₃	C₂³	1	2	yes	complemented
317	C₄×C₈×C₇₃	C₂³	1	2	yes	complemented
318	C₂³×D₇₃	—	2	1	no	—
319	C₂³×D₇₃	—	2	2	no	—
320	C₂³×D₇₃	—	2	1	no	—
321	C₂³×D₇₃	—	2	2	no	—
322	C₂³×D₇₃	—	4	4	no	—
323	C₂³×D₇₃	—	8	2	no	—
324	C₂³×D₇₃	—	8	2	no	—
325	C₂³×D₇₃	C₂×D₄	1	1	yes	characteristic
326	#11924029	—	2	2	no	—
327	#11924029	—	2	2	no	—
328	#11924028	—	2	2	no	—
329	#11924028	—	2	2	no	—
330	#11924028	—	4	4	no	—
331	#11924027	—	2	2	no	—
332	#11924027	—	2	2	no	—
333	#11924027	—	4	4	no	—
334	C₂×Dic₁₄₆	—	2	1	no	—
335	C₂×Dic₁₄₆	—	2	2	no	—
336	C₂×Dic₁₄₆	—	2	2	no	—
337	C₂×Dic₁₄₆	—	2	2	no	—
338	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
339	Q₈×D₇₃	—	2	2	no	—
340	Q₈×D₇₃	—	2	2	no	—
341	Q₈×D₇₃	—	8	4	no	—
342	C₂×D₂₉₂	—	2	2	no	—
343	C₂×D₂₉₂	—	2	2	no	—
344	C₂×D₂₉₂	—	2	1	no	—
345	C₂×D₂₉₂	—	2	1	no	—
346	C₂×D₂₉₂	—	2	2	no	—
347	C₂×D₂₉₂	—	2	2	no	—
348	C₂×D₂₉₂	C₂⁴	1	2	yes	—
349	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
350	C₂×C₂²⋊D₇₃	—	2	1	no	—
351	C₂×C₂²⋊D₇₃	—	2	1	no	—
352	C₂×C₂²⋊D₇₃	—	2	2	no	—
353	C₂×C₂²⋊D₇₃	—	2	2	no	—
354	C₂×C₂²⋊D₇₃	—	2	1	no	—
355	C₂×C₂²⋊D₇₃	—	2	2	no	—
356	C₂×C₂²⋊D₇₃	—	2	2	no	—
357	C₂×C₂²⋊D₇₃	—	2	2	no	—
358	C₂×C₂²⋊D₇₃	—	2	2	no	—
359	C₂×C₂²⋊D₇₃	—	4	4	no	—
360	D₄×D₇₃	—	2	4	no	—
361	D₄×D₇₃	—	2	4	no	—
362	D₄×D₇₃	—	2	4	no	—
363	D₄×D₇₃	—	2	4	no	—
364	D₄×D₇₃	—	2	2	no	—
365	D₄×D₇₃	—	2	2	no	—
366	D₄×D₇₃	—	4	4	no	—
367	D₄×D₇₃	—	4	4	no	—
368	D₄×D₇₃	—	4	4	no	—
369	D₄×D₇₃	—	8	4	no	—
370	D₄×D₇₃	—	8	4	no	—
371	C₂²×Dic₇₃	—	2	1	no	—
372	C₂²×Dic₇₃	—	2	1	no	—
373	C₂²×Dic₇₃	C₂×D₄	1	1	yes	characteristic
374	C₂×C₄×D₇₃	—	2	1	no	—
375	C₂×C₄×D₇₃	—	2	1	no	—
376	C₂×C₄×D₇₃	—	2	1	no	—
377	C₂×C₄×D₇₃	—	2	2	no	—
378	C₂×C₄×D₇₃	—	2	1	no	—
379	C₂×C₄×D₇₃	—	2	1	no	—
380	C₂×C₄×D₇₃	—	2	2	no	—
381	C₂×C₄×D₇₃	—	4	4	no	—
382	C₂×C₄×D₇₃	—	8	2	no	—
383	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
384	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
385	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
386	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
387	C₂×C₄×D₇₃	#41	1	4	yes	—
388	C₂×C₄×D₇₃	#41	1	4	yes	—
389	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
390	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
391	#11924012	—	2	2	no	—
392	#11924011	—	2	4	no	—
393	C₂×#10596831	—	2	2	no	—
394	C₂×#10596831	C₂⁴	1	1	yes	characteristic
395	C₂×#10596831	C₂⁴	1	2	yes	—
396	C₂×#10596831	C₂⁴	1	1	yes	characteristic
397	C₈×D₇₃	—	2	2	no	—
398	C₈×D₇₃	—	2	2	no	—
399	C₈×D₇₃	—	2	2	no	—
400	C₈×D₇₃	—	2	2	no	—
401	C₈×D₇₃	—	2	4	no	—
402	C₄⋊Dic₇₃	—	2	1	no	—
403	C₄⋊Dic₇₃	—	2	2	no	—
404	C₄⋊Dic₇₃	—	2	2	no	—
405	C₄⋊Dic₇₃	—	2	2	no	—
406	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
407	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
408	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
409	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
410	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
411	#11924007	—	2	2	no	—
412	#11924007	—	2	2	no	—
413	#11924007	—	2	2	no	—
414	#11924007	—	2	2	no	—
415	#11924007	—	2	2	no	—
416	#11924007	—	2	2	no	—
417	#11924007	—	2	2	no	—
418	#11924007	—	2	2	no	—
419	#11924007	—	2	1	no	—
420	#11924007	—	2	1	no	—
421	#11924007	C₂×D₄	1	2	yes	—
422	#11924007	C₂×D₄	1	2	yes	—
423	C₂²⋊Dic₇₃	—	2	1	no	—
424	C₂²⋊Dic₇₃	—	2	2	no	—
425	C₂²⋊Dic₇₃	—	2	2	no	—
426	C₂²⋊Dic₇₃	C₂×D₄	1	2	yes	—
427	#11924005	—	2	1	no	—
428	#11924005	—	2	1	no	—
429	#11924005	—	2	2	no	—
430	#11924005	—	2	2	no	—
431	#11924005	—	2	2	no	—
432	#11924005	—	2	2	no	—
433	#11924005	C₂×D₄	1	2	yes	—
434	#11924005	C₂×D₄	1	2	yes	—
435	C₄×Dic₇₃	—	2	1	no	—
436	C₄×Dic₇₃	—	2	1	no	—
437	C₄×Dic₇₃	—	2	1	no	—
438	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
439	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
440	C₄×Dic₇₃	C₂⁴	1	2	yes	—
441	C₂⁴×C₇₃	—	2	1	no	—
442	#41×C₇₃	—	2	2	no	—
443	#41×C₇₃	—	2	2	no	—
444	C₂×Q₈×C₇₃	—	2	2	no	—
445	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
446	C₂×D₄×C₇₃	—	2	1	no	—
447	C₂×D₄×C₇₃	—	2	1	no	—
448	C₂×D₄×C₇₃	—	2	2	no	—
449	C₂×D₄×C₇₃	—	2	2	no	—
450	C₂×D₄×C₇₃	—	2	2	no	—
451	C₂×D₄×C₇₃	—	2	2	no	—
452	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
453	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇₃	—	2	1	no	—
455	C₂²×C₄×C₇₃	—	2	1	no	—
456	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
457	M₁₆×C₇₃	—	2	2	no	—
458	C₂×C₈×C₇₃	—	2	2	no	—
459	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
460	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
461	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
462	C₄⋊C₄×C₇₃	—	2	1	no	—
463	C₄⋊C₄×C₇₃	—	2	2	no	—
464	C₄⋊C₄×C₇₃	—	2	2	no	—
465	C₄⋊C₄×C₇₃	—	2	2	no	—
466	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
467	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
468	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
469	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
470	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
471	C₂²⋊C₄×C₇₃	—	2	1	no	—
472	C₂²⋊C₄×C₇₃	—	2	2	no	—
473	C₂²⋊C₄×C₇₃	—	2	2	no	—
474	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
475	C₄²×C₇₃	—	2	1	no	—
476	C₄²×C₇₃	C₂⁴	1	2	yes	—
477	C₂³×C₇₃	—	2	2	no	—
478	C₂³×C₇₃	—	2	1	no	—
479	C₂³×C₇₃	—	4	2	no	—
480	C₂³×C₇₃	—	8	1	no	—
481	C₂³×C₇₃	—	8	1	no	—
482	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
483	C₂²×D₇₃	—	2	2	no	—
484	C₂²×D₇₃	—	2	2	no	—
485	C₂²×D₇₃	—	2	2	no	—
486	C₂²×D₇₃	—	2	1	no	—
487	C₂²×D₇₃	—	4	2	no	—
488	C₂²×D₇₃	—	4	2	no	—
489	C₂²×D₇₃	—	4	4	no	—
490	C₂²×D₇₃	—	4	4	no	—
491	C₂²×D₇₃	—	4	2	no	—
492	C₂²×D₇₃	—	4	4	no	—
493	C₂²×D₇₃	—	4	2	no	—
494	C₂²×D₇₃	—	4	4	no	—
495	C₂²×D₇₃	—	8	2	no	—
496	C₂²×D₇₃	—	8	2	no	—
497	C₂²×D₇₃	—	8	16	no	—
498	C₂²×D₇₃	—	8	1	no	—
499	C₂²×D₇₃	—	8	1	no	—
500	C₂²×D₇₃	#124	1	4	yes	—
501	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
502	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
503	Q₈×C₇₃	—	2	1	no	—
504	Q₈×C₇₃	—	2	1	no	—
505	Q₈×C₇₃	—	8	2	no	—
506	D₄×C₇₃	—	2	2	no	—
507	D₄×C₇₃	—	2	2	no	—
508	D₄×C₇₃	—	2	1	no	—
509	D₄×C₇₃	—	2	1	no	—
510	D₄×C₇₃	—	4	2	no	—
511	D₄×C₇₃	—	4	2	no	—
512	D₄×C₇₃	—	8	2	no	—
513	D₄×C₇₃	—	8	2	no	—
514	C₂×C₄×C₇₃	—	2	1	no	—
515	C₂×C₄×C₇₃	—	2	1	no	—
516	C₂×C₄×C₇₃	—	2	1	no	—
517	C₂×C₄×C₇₃	—	2	2	no	—
518	C₂×C₄×C₇₃	—	4	2	no	—
519	C₂×C₄×C₇₃	—	8	1	no	—
520	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
521	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
524	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
525	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
526	C₂²⋊D₇₃	—	4	2	no	—
527	C₂²⋊D₇₃	—	4	2	no	—
528	C₂²⋊D₇₃	—	4	4	no	—
529	C₂²⋊D₇₃	—	4	4	no	—
530	C₂²⋊D₇₃	—	4	2	no	—
531	C₂²⋊D₇₃	—	8	2	no	—
532	C₂²⋊D₇₃	—	8	2	no	—
533	C₂²⋊D₇₃	—	8	2	no	—
534	C₂²⋊D₇₃	—	8	2	no	—
535	C₂×Dic₇₃	—	2	1	no	—
536	C₂×Dic₇₃	—	2	1	no	—
537	C₂×Dic₇₃	—	2	1	no	—
538	C₂×Dic₇₃	—	2	2	no	—
539	C₂×Dic₇₃	—	4	2	no	—
540	C₂×Dic₇₃	—	8	1	no	—
541	C₂×Dic₇₃	#124	1	4	yes	—
542	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
543	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
544	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
546	D₂₉₂	—	2	2	no	—
547	D₂₉₂	—	2	2	no	—
548	D₂₉₂	—	2	1	no	—
549	D₂₉₂	—	2	1	no	—
550	D₂₉₂	—	4	2	no	—
551	D₂₉₂	—	4	2	no	—
552	D₂₉₂	—	8	2	no	—
553	D₂₉₂	—	8	2	no	—
554	C₄×D₇₃	—	2	4	no	—
555	C₄×D₇₃	—	2	4	no	—
556	C₄×D₇₃	—	4	2	no	—
557	C₄×D₇₃	—	4	4	no	—
558	C₄×D₇₃	—	4	2	no	—
559	C₄×D₇₃	—	4	2	no	—
560	C₄×D₇₃	—	4	2	no	—
561	C₄×D₇₃	—	4	2	no	—
562	C₄×D₇₃	—	8	2	no	—
563	C₄×D₇₃	#124	1	4	yes	—
564	C₄×D₇₃	#124	1	4	yes	—
565	C₄×D₇₃	C₂×#41	1	2	yes	—
566	C₄×D₇₃	C₂×#41	1	2	yes	—
567	C₄×D₇₃	C₂×#41	1	2	yes	—
568	C₄×D₇₃	C₂×#41	1	2	yes	—
569	Dic₁₄₆	—	2	1	no	—
570	Dic₁₄₆	—	2	1	no	—
571	Dic₁₄₆	—	4	2	no	—
572	Dic₁₄₆	—	8	2	no	—
573	Dic₁₄₆	—	8	2	no	—
574	Dic₁₄₆	—	8	2	no	—
575	C₈×C₇₃	—	2	1	no	—
576	C₈×C₇₃	—	2	1	no	—
577	C₈×C₇₃	—	2	2	no	—
578	#10596831	—	2	1	no	—
579	#10596831	—	2	1	no	—
580	#10596831	—	2	2	no	—
581	C₂²×C₇₃	—	2	1	no	—
582	C₂²×C₇₃	—	2	1	no	—
583	C₂²×C₇₃	—	4	1	no	—
584	C₂²×C₇₃	—	4	2	no	—
585	C₂²×C₇₃	—	4	1	no	—
586	C₂²×C₇₃	—	4	2	no	—
587	C₂²×C₇₃	—	4	1	no	—
588	C₂²×C₇₃	—	4	2	no	—
589	C₂²×C₇₃	—	8	4	no	—
590	C₂²×C₇₃	C₂×#124	1	2	yes	—
591	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
592	C₂×D₇₃	—	2	1	no	—
593	C₂×D₇₃	—	2	1	no	—
594	C₂×D₇₃	—	2	8	no	—
595	C₂×D₇₃	—	4	1	no	—
596	C₂×D₇₃	—	4	2	no	—
597	C₂×D₇₃	—	4	1	no	—
598	C₂×D₇₃	—	4	2	no	—
599	C₂×D₇₃	—	4	1	no	—
600	C₂×D₇₃	—	4	2	no	—
601	C₂×D₇₃	—	8	8	no	—
602	C₂×D₇₃	—	8	4	no	—
603	C₂×D₇₃	—	8	4	no	—
604	C₂×D₇₃	—	8	8	no	—
605	C₂×D₇₃	C₂×#124	1	2	yes	—
606	C₂×D₇₃	C₂×#124	1	2	yes	—
607	C₂×D₇₃	#576	1	2	yes	—
608	C₂×D₇₃	#577	1	2	yes	—
609	C₄×C₇₃	—	2	2	no	—
610	C₄×C₇₃	—	2	2	no	—
611	C₄×C₇₃	—	4	1	no	—
612	C₄×C₇₃	—	4	1	no	—
613	C₄×C₇₃	—	4	2	no	—
614	C₄×C₇₃	—	4	1	no	—
615	C₄×C₇₃	C₂×#124	1	2	yes	—
616	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
617	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
618	Dic₇₃	—	2	2	no	—
619	Dic₇₃	—	2	2	no	—
620	Dic₇₃	—	4	1	no	—
621	Dic₇₃	—	4	1	no	—
622	Dic₇₃	—	4	2	no	—
623	Dic₇₃	—	4	1	no	—
624	Dic₇₃	C₂×#124	1	2	yes	—
625	Dic₇₃	C₂×#124	1	2	yes	—
626	C₂×#3136	—	73	1	no	maximal, Sylow
627	C₂×C₇₃	—	2	2	no	—
628	C₂×C₇₃	—	8	2	no	—
629	C₂×C₇₃	—	8	1	no	—
630	C₂×C₇₃	C₂²×#124	1	1	yes	characteristic
631	C₂×C₇₃	C₂×#576	1	1	yes	characteristic
632	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
633	D₇₃	—	2	2	no	—
634	D₇₃	—	8	1	no	—
635	D₇₃	—	8	2	no	—
636	D₇₃	#3136	1	4	yes	direct product factor
637	C₂×#544	—	73	1	no	—
638	C₂×#535	—	73	1	no	—
639	#3136	—	73	2	no	—
640	#3136	—	73	2	no	—
641	#3136	—	73	2	no	—
642	#3136	—	73	2	no	—
643	#3136	—	73	1	no	—
644	#3136	—	73	1	no	—
645	#3136	—	73	1	no	—
646	#3136	—	73	1	no	—
647	#3136	—	73	1	no	—
648	#3136	—	73	1	no	—
649	#3136	—	73	1	no	—
650	#3136	D₇₃	1	1	yes	characteristic, direct product factor
651	C₂×#490	—	73	2	no	—
652	C₂×#489	—	73	2	no	—
653	C₂×#488	—	73	2	no	—
654	C₂×#486	—	73	2	no	—
655	C₂×#417	—	73	1	no	—
656	C₂×#418	—	73	1	no	—
657	C₂×#416	—	73	1	no	—
658	C₂²×#102	—	73	1	no	—
659	C₂×#405	—	73	1	no	—
660	C₇₃	C₂×#3136	1	1	yes	characteristic, complemented, Sylow
661	C₂²×#41	—	73	1	no	—
662	C₂³×D₄	—	73	1	no	—
663	C₂²×M₁₆	—	73	1	no	—
664	C₂³×C₈	—	73	1	no	—
665	#544	—	73	2	no	—
666	#544	—	73	2	no	—
667	#544	—	73	1	no	—
668	#544	—	73	1	no	—
669	#544	—	73	1	no	—
670	#544	—	146	2	no	—
671	#544	—	146	1	no	—
672	#544	—	146	1	no	—
673	#544	C₂×D₇₃	1	1	yes	characteristic, complemented
674	#535	—	73	1	no	—
675	#535	—	73	1	no	—
676	#535	—	73	2	no	—
677	#535	—	73	2	no	—
678	#535	—	73	1	no	—
679	#535	—	146	2	no	—
680	#535	—	146	1	no	—
681	#535	—	146	1	no	—
682	#535	C₂×D₇₃	1	1	yes	characteristic
683	C₂×C₄⋊Q₈	—	73	2	no	—
684	C₂×C₄⋊Q₈	—	146	1	no	—
685	C₂×#127	—	73	2	no	—
686	C₂×#125	—	73	2	no	—
687	C₂×#125	—	146	1	no	—
688	C₂×#124	—	73	2	no	—
689	C₂×C₂²⋊Q₈	—	146	2	no	—
690	C₂×#121	—	146	1	no	—
691	C₂×#121	—	146	1	no	—
692	C₂×#120	—	146	2	no	—
693	C₂×#117	—	73	1	no	—
694	C₂×#117	—	73	1	no	—
695	C₂²×C₄⋊C₄	—	73	1	no	—
696	#490	—	73	2	no	—
697	#490	—	73	2	no	—
698	#490	—	73	2	no	—
699	#490	—	73	2	no	—
700	#490	—	73	2	no	—
701	#490	—	73	2	no	—
702	#490	—	73	2	no	—
703	#490	C₂×D₇₃	1	2	yes	complemented
704	#489	—	73	2	no	—
705	#489	—	73	2	no	—
706	#489	—	73	2	no	—
707	#489	—	73	2	no	—
708	#489	—	73	2	no	—
709	#489	—	73	2	no	—
710	#489	—	73	2	no	—
711	#489	C₂×D₇₃	1	2	yes	complemented
712	#488	—	73	2	no	—
713	#488	—	73	2	no	—
714	#488	—	73	2	no	—
715	#488	—	73	2	no	—
716	#488	—	73	2	no	—
717	#488	—	73	2	no	—
718	#488	—	73	2	no	—
719	#488	C₂×D₇₃	1	2	yes	complemented
720	#486	—	73	2	no	—
721	#486	—	73	2	no	—
722	#486	—	73	2	no	—
723	#486	—	73	2	no	—
724	#486	—	73	2	no	—
725	#486	—	73	2	no	—
726	#486	—	73	2	no	—
727	#486	C₂×D₇₃	1	2	yes	complemented
728	#418	—	73	1	no	—
729	#418	—	73	1	no	—
730	#418	—	73	1	no	—
731	#418	—	73	2	no	—
732	#418	—	73	2	no	—
733	#418	C₂×D₇₃	1	1	yes	characteristic, complemented
734	#417	—	73	1	no	—
735	#417	—	73	1	no	—
736	#417	—	73	1	no	—
737	#417	—	73	2	no	—
738	#417	—	73	2	no	—
739	#417	C₂×D₇₃	1	1	yes	characteristic, complemented
740	#416	—	73	1	no	—
741	#416	—	73	1	no	—
742	#416	—	73	1	no	—
743	#416	—	73	1	no	—
744	#416	—	73	1	no	—
745	#416	—	73	1	no	—
746	#416	—	73	1	no	—
747	#416	C₂×D₇₃	1	1	yes	characteristic, complemented
748	C₂×#103	—	73	1	no	—
749	C₂×#103	—	73	2	no	—
750	C₂×#103	—	73	1	no	—
751	C₂×#102	—	73	1	no	—
752	C₂×#102	—	73	1	no	—
753	C₂×#102	—	73	1	no	—
754	C₂×#102	—	73	2	no	—
755	C₂×#102	—	73	2	no	—
756	C₂×#102	—	73	2	no	—
757	C₂×#102	—	73	2	no	—
758	C₂×#102	—	73	2	no	—
759	C₂×#102	—	73	2	no	—
760	C₂×#102	—	73	1	no	—
761	C₂×#102	—	73	2	no	—
762	C₂×#102	—	73	1	no	—
763	C₂×#102	C₂×D₇₃	1	1	yes	characteristic, complemented
764	#405	—	73	1	no	—
765	#405	—	73	1	no	—
766	#405	—	73	1	no	—
767	#405	—	73	2	no	—
768	#405	—	73	2	no	—
769	#405	C₂×D₇₃	1	1	yes	characteristic, complemented
770	C₂×#97	—	73	2	no	—
771	C₂×C₄×C₈	—	73	2	no	—
772	C₂⁵	—	146	1	no	—
773	C₂×#41	—	73	1	no	—
774	C₂×#41	—	73	1	no	—
775	C₂×#41	—	73	1	no	—
776	C₂×#41	—	146	1	no	—
777	C₂×#41	—	146	4	no	—
778	C₂×#41	—	146	4	no	—
779	C₂×#41	—	146	1	no	—
780	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
781	C₂²×Q₈	—	73	1	no	—
782	C₂²×Q₈	—	146	2	no	—
783	C₂²×D₄	—	73	2	no	—
784	C₂²×D₄	—	73	1	no	—
785	C₂²×D₄	—	73	2	no	—
786	C₂²×D₄	—	73	1	no	—
787	C₂²×D₄	—	146	1	no	—
788	C₂²×D₄	—	146	1	no	—
789	C₂²×D₄	—	146	4	no	—
790	C₂²×D₄	—	146	4	no	—
791	C₂²×D₄	—	146	2	no	—
792	C₂²×D₄	—	146	2	no	—
793	C₂²×D₄	—	146	1	no	—
794	C₂²×D₄	—	146	1	no	—
795	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
796	C₂³×C₄	—	73	1	no	—
797	C₂³×C₄	—	146	1	no	—
798	C₂³×C₄	—	146	1	no	—
799	C₂×M₁₆	—	73	1	no	—
800	C₂×M₁₆	—	73	2	no	—
801	C₂×M₁₆	—	146	4	no	—
802	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
803	C₂²×C₈	—	73	1	no	—
804	C₂²×C₈	—	73	1	no	—
805	C₂²×C₈	—	73	1	no	—
806	C₂²×C₈	—	73	1	no	—
807	C₂²×C₈	—	73	1	no	—
808	C₂²×C₈	—	73	2	no	—
809	C₂²×C₈	—	146	4	no	—
810	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
811	C₄⋊Q₈	—	2	1	no	—
812	C₄⋊Q₈	—	73	2	no	—
813	C₄⋊Q₈	—	73	2	no	—
814	C₄⋊Q₈	—	73	2	no	—
815	C₄⋊Q₈	—	146	1	no	—
816	C₄⋊Q₈	—	146	2	no	—
817	C₄⋊Q₈	—	146	2	no	—
818	C₄⋊Q₈	—	146	2	no	—
819	C₄⋊Q₈	—	146	1	no	—
820	C₄⋊Q₈	—	146	2	no	—
821	C₄⋊Q₈	—	146	1	no	—
822	C₄⋊Q₈	C₂²×D₇₃	1	2	yes	complemented
823	#127	—	73	2	no	—
824	#127	—	73	2	no	—
825	#127	—	73	2	no	—
826	#127	—	146	2	no	—
827	#127	—	146	2	no	—
828	#127	C₂²×D₇₃	1	2	yes	—
829	#125	—	2	1	no	—
830	#125	—	73	2	no	—
831	#125	—	73	2	no	—
832	#125	—	73	2	no	—
833	#125	—	146	1	no	—
834	#125	—	146	2	no	—
835	#125	—	146	2	no	—
836	#125	—	146	2	no	—
837	#125	—	146	2	no	—
838	#125	—	146	1	no	—
839	#125	—	146	1	no	—
840	#125	C₂²×D₇₃	1	2	yes	complemented
841	#124	—	73	2	no	—
842	#124	—	73	2	no	—
843	#124	—	73	2	no	—
844	#124	—	146	2	no	—
845	#124	—	146	2	no	—
846	#124	C₂²×D₇₃	1	2	yes	—
847	C₂²⋊Q₈	—	2	2	no	—
848	C₂²⋊Q₈	—	146	2	no	—
849	C₂²⋊Q₈	—	146	2	no	—
850	C₂²⋊Q₈	—	146	2	no	—
851	C₂²⋊Q₈	—	146	2	no	—
852	C₂²⋊Q₈	—	146	2	no	—
853	C₂²⋊Q₈	—	146	2	no	—
854	C₂²⋊Q₈	—	146	2	no	—
855	#121	—	2	1	no	—
856	#121	—	2	1	no	—
857	#121	—	146	2	no	—
858	#121	—	146	2	no	—
859	#121	—	146	1	no	—
860	#121	—	146	1	no	—
861	#121	—	146	1	no	—
862	#121	—	146	1	no	—
863	#121	—	146	2	no	—
864	#121	—	146	2	no	—
865	#121	—	146	1	no	—
866	#121	—	146	1	no	—
867	#120	—	2	2	no	—
868	#120	—	146	2	no	—
869	#120	—	146	2	no	—
870	#120	—	146	2	no	—
871	#120	—	146	2	no	—
872	#120	—	146	2	no	—
873	#120	—	146	2	no	—
874	#120	—	146	2	no	—
875	#117	—	73	1	no	—
876	#117	—	73	1	no	—
877	#117	—	73	1	no	—
878	#117	—	73	2	no	—
879	#117	—	73	2	no	—
880	#117	—	73	1	no	—
881	#117	—	73	1	no	—
882	#117	—	73	1	no	—
883	#117	—	146	1	no	—
884	#117	—	146	1	no	—
885	#117	C₂²×D₇₃	1	1	yes	characteristic
886	#117	C₂²×D₇₃	1	1	yes	characteristic
887	C₂×C₄⋊C₄	—	73	1	no	—
888	C₂×C₄⋊C₄	—	73	1	no	—
889	C₂×C₄⋊C₄	—	73	1	no	—
890	C₂×C₄⋊C₄	—	73	2	no	—
891	C₂×C₄⋊C₄	—	73	2	no	—
892	C₂×C₄⋊C₄	—	73	1	no	—
893	C₂×C₄⋊C₄	—	73	1	no	—
894	C₂×C₄⋊C₄	—	146	1	no	—
895	C₂×C₄⋊C₄	—	146	1	no	—
896	C₂×C₄⋊C₄	—	146	2	no	—
897	C₂×C₄⋊C₄	—	146	2	no	—
898	C₂×C₄⋊C₄	—	146	2	no	—
899	C₂×C₄⋊C₄	—	146	1	no	—
900	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	—	73	2	no	—
902	C₂×C₂²⋊C₄	—	146	2	no	—
903	C₂×C₂²⋊C₄	—	146	2	no	—
904	C₂×C₂²⋊C₄	—	146	1	no	—
905	C₂×C₄²	—	73	2	no	—
906	C₂×C₄²	—	146	1	no	—
907	#103	—	73	1	no	—
908	#103	—	73	1	no	—
909	#103	—	73	2	no	—
910	#103	—	73	1	no	—
911	#103	—	73	1	no	—
912	#103	—	73	2	no	—
913	#103	—	73	1	no	—
914	#103	—	73	1	no	—
915	#103	—	73	2	no	—
916	#103	C₂²×D₇₃	1	1	yes	characteristic, complemented
917	#103	C₂²×D₇₃	1	1	yes	characteristic, complemented
918	#103	C₂²×D₇₃	1	2	yes	complemented
919	#102	—	73	2	no	—
920	#102	—	73	2	no	—
921	#102	—	73	2	no	—
922	#102	—	73	2	no	—
923	#102	—	73	1	no	—
924	#102	—	73	1	no	—
925	#102	—	73	2	no	—
926	#102	—	73	2	no	—
927	#102	—	73	2	no	—
928	#102	—	73	2	no	—
929	#102	—	73	2	no	—
930	#102	—	73	1	no	—
931	#102	—	73	1	no	—
932	#102	—	73	2	no	—
933	#102	—	73	2	no	—
934	#102	—	73	2	no	—
935	#102	—	73	2	no	—
936	#102	—	73	2	no	—
937	#102	—	73	1	no	—
938	#102	—	73	1	no	—
939	#102	—	73	2	no	—
940	#102	C₂²×D₇₃	1	2	yes	—
941	#102	C₂²×D₇₃	1	2	yes	—
942	#102	C₂²×D₇₃	1	2	yes	—
943	#102	C₂²×D₇₃	1	2	yes	—
944	#102	C₂²×D₇₃	1	1	yes	characteristic, complemented
945	#102	C₂²×D₇₃	1	1	yes	characteristic, complemented
946	#102	C₂²×D₇₃	1	2	yes	complemented
947	#97	—	73	2	no	—
948	#97	—	73	2	no	—
949	#97	—	73	2	no	—
950	#97	C₂²×D₇₃	1	2	yes	complemented
951	C₄×C₈	—	73	2	no	—
952	C₄×C₈	—	73	2	no	—
953	C₄×C₈	—	73	2	no	—
954	C₄×C₈	C₂²×D₇₃	1	2	yes	complemented
955	C₂⁴	—	2	1	no	—
956	C₂⁴	—	292	4	no	—
957	C₂⁴	—	584	2	no	—
958	C₂⁴	—	584	2	no	—
959	C₂⁴	—	73	1	no	—
960	C₂⁴	—	146	2	no	—
961	C₂⁴	—	146	1	no	—
962	C₂⁴	—	146	2	no	—
963	C₂⁴	—	146	1	no	—
964	#41	—	2	2	no	—
965	#41	—	2	2	no	—
966	#41	—	292	4	no	—
967	#41	—	292	4	no	—
968	#41	—	146	2	no	—
969	#41	—	146	2	no	—
970	#41	—	146	2	no	—
971	#41	—	146	2	no	—
972	#41	—	146	2	no	—
973	#41	—	146	2	no	—
974	C₂×Q₈	—	2	2	no	—
975	C₂×Q₈	—	584	4	no	—
976	C₂×Q₈	—	73	1	no	—
977	C₂×Q₈	—	146	1	no	—
978	C₂×Q₈	—	146	2	no	—
979	C₂×Q₈	—	146	2	no	—
980	C₂×Q₈	—	146	2	no	—
981	C₂×Q₈	—	146	2	no	—
982	C₂×Q₈	—	146	2	no	—
983	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
984	C₂×D₄	—	2	1	no	—
985	C₂×D₄	—	2	1	no	—
986	C₂×D₄	—	2	2	no	—
987	C₂×D₄	—	2	2	no	—
988	C₂×D₄	—	2	2	no	—
989	C₂×D₄	—	2	2	no	—
990	C₂×D₄	—	292	4	no	—
991	C₂×D₄	—	292	4	no	—
992	C₂×D₄	—	292	4	no	—
993	C₂×D₄	—	292	4	no	—
994	C₂×D₄	—	584	4	no	—
995	C₂×D₄	—	584	4	no	—
996	C₂×D₄	—	73	2	no	—
997	C₂×D₄	—	73	1	no	—
998	C₂×D₄	—	146	1	no	—
999	C₂×D₄	—	146	4	no	—
1000	C₂×D₄	—	146	4	no	—
1001	C₂×D₄	—	146	4	no	—
1002	C₂×D₄	—	146	4	no	—
1003	C₂×D₄	—	146	2	no	—
1004	C₂×D₄	—	146	2	no	—
1005	C₂×D₄	—	146	2	no	—
1006	C₂×D₄	—	146	2	no	—
1007	C₂×D₄	—	146	1	no	—
1008	C₂×D₄	—	146	2	no	—
1009	C₂×D₄	—	146	2	no	—
1010	C₂×D₄	—	146	2	no	—
1011	C₂×D₄	—	146	2	no	—
1012	C₂×D₄	—	146	1	no	—
1013	C₂×D₄	—	146	1	no	—
1014	C₂×D₄	—	146	1	no	—
1015	C₂×D₄	—	146	2	no	—
1016	C₂×D₄	—	146	2	no	—
1017	C₂×D₄	—	146	2	no	—
1018	C₂×D₄	—	146	2	no	—
1019	C₂×D₄	C₂³×D₇₃	1	2	yes	—
1020	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1021	C₂²×C₄	—	2	1	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	292	4	no	—
1024	C₂²×C₄	—	584	2	no	—
1025	C₂²×C₄	—	73	1	no	—
1026	C₂²×C₄	—	73	1	no	—
1027	C₂²×C₄	—	73	1	no	—
1028	C₂²×C₄	—	73	4	no	—
1029	C₂²×C₄	—	73	4	no	—
1030	C₂²×C₄	—	73	1	no	—
1031	C₂²×C₄	—	73	1	no	—
1032	C₂²×C₄	—	73	2	no	—
1033	C₂²×C₄	—	73	2	no	—
1034	C₂²×C₄	—	146	1	no	—
1035	C₂²×C₄	—	146	1	no	—
1036	C₂²×C₄	—	146	1	no	—
1037	C₂²×C₄	—	146	1	no	—
1038	C₂²×C₄	—	146	2	no	—
1039	C₂²×C₄	—	146	2	no	—
1040	C₂²×C₄	—	146	1	no	—
1041	C₂²×C₄	—	146	1	no	—
1042	C₂²×C₄	—	146	1	no	—
1043	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1044	M₁₆	—	2	2	no	—
1045	M₁₆	—	146	4	no	—
1046	M₁₆	—	146	2	no	—
1047	C₂×C₈	—	2	2	no	—
1048	C₂×C₈	—	73	1	no	—
1049	C₂×C₈	—	73	2	no	—
1050	C₂×C₈	—	73	1	no	—
1051	C₂×C₈	—	146	2	no	—
1052	C₂×C₈	—	146	2	no	—
1053	C₂×C₈	—	146	2	no	—
1054	C₂×C₈	—	146	2	no	—
1055	C₂×C₈	—	146	4	no	—
1056	C₂×C₈	—	146	2	no	—
1057	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1058	C₂×C₈	C₂³×D₇₃	1	2	yes	—
1059	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1060	C₄⋊C₄	—	2	1	no	—
1061	C₄⋊C₄	—	2	2	no	—
1062	C₄⋊C₄	—	2	2	no	—
1063	C₄⋊C₄	—	2	2	no	—
1064	C₄⋊C₄	—	73	2	no	—
1065	C₄⋊C₄	—	73	2	no	—
1066	C₄⋊C₄	—	73	1	no	—
1067	C₄⋊C₄	—	73	1	no	—
1068	C₄⋊C₄	—	73	2	no	—
1069	C₄⋊C₄	—	73	1	no	—
1070	C₄⋊C₄	—	73	1	no	—
1071	C₄⋊C₄	—	146	2	no	—
1072	C₄⋊C₄	—	146	2	no	—
1073	C₄⋊C₄	—	146	1	no	—
1074	C₄⋊C₄	—	146	1	no	—
1075	C₄⋊C₄	—	146	2	no	—
1076	C₄⋊C₄	—	146	2	no	—
1077	C₄⋊C₄	—	146	2	no	—
1078	C₄⋊C₄	—	146	2	no	—
1079	C₄⋊C₄	—	146	2	no	—
1080	C₄⋊C₄	—	146	2	no	—
1081	C₄⋊C₄	—	146	2	no	—
1082	C₄⋊C₄	—	146	2	no	—
1083	C₄⋊C₄	—	146	1	no	—
1084	C₄⋊C₄	—	146	2	no	—
1085	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1086	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1087	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1088	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1089	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1090	C₂²⋊C₄	—	2	1	no	—
1091	C₂²⋊C₄	—	2	2	no	—
1092	C₂²⋊C₄	—	2	2	no	—
1093	C₂²⋊C₄	—	73	2	no	—
1094	C₂²⋊C₄	—	73	2	no	—
1095	C₂²⋊C₄	—	73	2	no	—
1096	C₂²⋊C₄	—	146	2	no	—
1097	C₂²⋊C₄	—	146	2	no	—
1098	C₂²⋊C₄	—	146	1	no	—
1099	C₂²⋊C₄	—	146	1	no	—
1100	C₂²⋊C₄	—	146	2	no	—
1101	C₂²⋊C₄	—	146	2	no	—
1102	C₂²⋊C₄	—	146	1	no	—
1103	C₂²⋊C₄	—	146	2	no	—
1104	C₂²⋊C₄	—	146	2	no	—
1105	C₂²⋊C₄	D₄×D₇₃	1	2	yes	—
1106	C₄²	—	2	1	no	—
1107	C₄²	—	73	2	no	—
1108	C₄²	—	73	2	no	—
1109	C₄²	—	73	2	no	—
1110	C₄²	—	146	1	no	—
1111	C₄²	—	146	1	no	—
1112	C₄²	—	146	1	no	—
1113	C₄²	C₂³×D₇₃	1	2	yes	—
1114	C₂³	—	2	2	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	4	2	no	—
1117	C₂³	—	8	1	no	—
1118	C₂³	—	8	1	no	—
1119	C₂³	—	292	2	no	—
1120	C₂³	—	292	4	no	—
1121	C₂³	—	292	4	no	—
1122	C₂³	—	292	2	no	—
1123	C₂³	—	292	2	no	—
1124	C₂³	—	292	4	no	—
1125	C₂³	—	292	4	no	—
1126	C₂³	—	292	2	no	—
1127	C₂³	—	584	1	no	—
1128	C₂³	—	584	1	no	—
1129	C₂³	—	584	2	no	—
1130	C₂³	—	584	2	no	—
1131	C₂³	—	584	16	no	—
1132	C₂³	—	73	1	no	—
1133	C₂³	—	73	1	no	—
1134	C₂³	—	73	4	no	—
1135	C₂³	—	146	2	no	—
1136	C₂³	—	146	2	no	—
1137	C₂³	—	146	2	no	—
1138	C₂³	—	146	1	no	—
1139	C₂³	C₂×D₄×D₇₃	1	1	yes	characteristic
1140	Q₈	—	2	1	no	—
1141	Q₈	—	2	1	no	—
1142	Q₈	—	8	2	no	—
1143	Q₈	—	292	2	no	—
1144	Q₈	—	584	2	no	—
1145	Q₈	—	584	2	no	—
1146	Q₈	—	584	2	no	—
1147	Q₈	—	146	1	no	—
1148	Q₈	—	146	1	no	—
1149	D₄	—	2	2	no	—
1150	D₄	—	2	2	no	—
1151	D₄	—	2	1	no	—
1152	D₄	—	2	1	no	—
1153	D₄	—	4	2	no	—
1154	D₄	—	4	2	no	—
1155	D₄	—	8	2	no	—
1156	D₄	—	8	2	no	—
1157	D₄	—	292	2	no	—
1158	D₄	—	292	2	no	—
1159	D₄	—	292	2	no	—
1160	D₄	—	292	4	no	—
1161	D₄	—	292	4	no	—
1162	D₄	—	292	2	no	—
1163	D₄	—	292	2	no	—
1164	D₄	—	584	2	no	—
1165	D₄	—	584	2	no	—
1166	D₄	—	584	2	no	—
1167	D₄	—	584	2	no	—
1168	D₄	—	584	2	no	—
1169	D₄	—	584	2	no	—
1170	D₄	—	146	2	no	—
1171	D₄	—	146	2	no	—
1172	D₄	—	146	1	no	—
1173	D₄	—	146	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	4	2	no	—
1179	C₂×C₄	—	8	1	no	—
1180	C₂×C₄	—	292	2	no	—
1181	C₂×C₄	—	292	4	no	—
1182	C₂×C₄	—	292	2	no	—
1183	C₂×C₄	—	292	2	no	—
1184	C₂×C₄	—	292	2	no	—
1185	C₂×C₄	—	292	2	no	—
1186	C₂×C₄	—	292	2	no	—
1187	C₂×C₄	—	584	2	no	—
1188	C₂×C₄	—	584	1	no	—
1189	C₂×C₄	—	73	1	no	—
1190	C₂×C₄	—	73	1	no	—
1191	C₂×C₄	—	73	4	no	—
1192	C₂×C₄	—	73	2	no	—
1193	C₂×C₄	—	73	2	no	—
1194	C₂×C₄	—	73	2	no	—
1195	C₂×C₄	—	73	2	no	—
1196	C₂×C₄	—	73	4	no	—
1197	C₂×C₄	—	73	4	no	—
1198	C₂×C₄	—	73	2	no	—
1199	C₂×C₄	—	73	2	no	—
1200	C₂×C₄	—	146	4	no	—
1201	C₂×C₄	—	146	4	no	—
1202	C₂×C₄	—	146	1	no	—
1203	C₂×C₄	—	146	1	no	—
1204	C₂×C₄	—	146	1	no	—
1205	C₂×C₄	—	146	2	no	—
1206	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1207	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1208	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1209	C₂×C₄	#41×D₇₃	1	2	yes	—
1210	C₂×C₄	#41×D₇₃	1	2	yes	—
1211	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1212	C₈	—	2	1	no	—
1213	C₈	—	2	1	no	—
1214	C₈	—	2	2	no	—
1215	C₈	—	146	1	no	—
1216	C₈	—	146	1	no	—
1217	C₈	—	146	2	no	—
1218	C₂²	—	2	1	no	—
1219	C₂²	—	2	1	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	2	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	2	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	2	no	—
1226	C₂²	—	8	4	no	—
1227	C₂²	—	292	1	no	—
1228	C₂²	—	292	2	no	—
1229	C₂²	—	292	1	no	—
1230	C₂²	—	292	2	no	—
1231	C₂²	—	292	1	no	—
1232	C₂²	—	292	2	no	—
1233	C₂²	—	584	4	no	—
1234	C₂²	—	584	8	no	—
1235	C₂²	—	584	4	no	—
1236	C₂²	—	584	8	no	—
1237	C₂²	—	73	2	no	—
1238	C₂²	—	73	2	no	—
1239	C₂²	—	73	2	no	—
1240	C₂²	—	73	2	no	—
1241	C₂²	—	146	8	no	—
1242	C₂²	—	146	1	no	—
1243	C₂²	—	146	1	no	—
1244	C₂²	#124×D₇₃	1	2	yes	—
1245	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1246	C₄	—	2	2	no	—
1247	C₄	—	2	2	no	—
1248	C₄	—	4	2	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	292	2	no	—
1253	C₄	—	292	1	no	—
1254	C₄	—	292	1	no	—
1255	C₄	—	292	1	no	—
1256	C₄	—	73	2	no	—
1257	C₄	—	73	2	no	—
1258	C₄	—	146	2	no	—
1259	C₄	—	146	2	no	—
1260	C₄	#124×D₇₃	1	2	yes	—
1261	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1262	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1263	C₂	—	2	2	no	—
1264	C₂	—	8	2	no	—
1265	C₂	—	8	1	no	—
1266	C₂	—	584	2	no	—
1267	C₂	—	584	1	no	—
1268	C₂	—	73	4	no	—
1269	C₂	—	146	2	no	—
1270	C₂	C₂×#124×D₇₃	1	1	yes	characteristic
1271	C₂	#576×D₇₃	1	1	yes	characteristic
1272	C₂	#577×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#3136	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	#535×D₇₃	C₂
hypercenter	#3136	D₇₃
hypocenter	C₇₃	C₂×#3136
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3136

Complements

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

N	H ≅ G/N	type
1. #544×D₇₃	C₂	semidirect
3. #22620290	C₂	semidirect
4. #22620289	C₂	semidirect
5. #22620288	C₂	semidirect
6. #22620287	C₂	semidirect
7. #22620286	C₂	semidirect
8. #22620285	C₂	semidirect
9. #22620284	C₂	semidirect
10. #22620283	C₂	semidirect
11. #22620282	C₂	semidirect
12. #22620281	C₂	semidirect
13. #22620280	C₂	semidirect
14. #490×D₇₃	C₂	semidirect
15. #489×D₇₃	C₂	semidirect
16. #488×D₇₃	C₂	semidirect
17. #486×D₇₃	C₂	semidirect
18. #417×D₇₃	C₂	semidirect
19. #418×D₇₃	C₂	semidirect
20. #416×D₇₃	C₂	semidirect
21. C₂×#102×D₇₃	C₂	semidirect
22. #405×D₇₃	C₂	semidirect
23. C₇₃×#3136	C₂	semidirect
28. #17989218	C₂²	semidirect
30. #17989217	C₂²	semidirect
32. #17989215	C₂²	semidirect
33. #17989215	C₂²	semidirect
35. #17989214	C₂²	semidirect
45. C₄⋊Q₈×D₇₃	C₂²	semidirect
48. #125×D₇₃	C₂²	semidirect
57. #17988953	C₂²	semidirect
58. #17988952	C₂²	semidirect
59. #17988951	C₂²	semidirect
60. #17988950	C₂²	semidirect
61. #17988950	C₂²	semidirect
62. #17988950	C₂²	semidirect
63. #17988950	C₂²	semidirect
64. #17988949	C₂²	semidirect
65. #17988948	C₂²	semidirect
66. #17988948	C₂²	semidirect
67. #17988947	C₂²	semidirect
68. #17988946	C₂²	semidirect
69. #17988945	C₂²	semidirect
70. #17988945	C₂²	semidirect
71. #17988944	C₂²	semidirect
72. #17988943	C₂²	semidirect
73. #17988943	C₂²	semidirect
74. #17988942	C₂²	semidirect
75. #17988941	C₂²	semidirect
76. #17988940	C₂²	semidirect
77. #17988940	C₂²	semidirect
78. #17988935	C₂²	semidirect
79. #17988934	C₂²	semidirect
80. #17988933	C₂²	semidirect
81. #17988932	C₂²	semidirect
82. #17988932	C₂²	semidirect
83. #17988932	C₂²	semidirect
84. #17988932	C₂²	semidirect
85. #17988593	C₂²	semidirect
86. #17988592	C₂²	semidirect
87. #17988591	C₂²	semidirect
88. #17988590	C₂²	semidirect
89. #17988590	C₂²	semidirect
90. #17988589	C₂²	semidirect
91. #17988588	C₂²	semidirect
92. #17988587	C₂²	semidirect
93. #17988586	C₂²	semidirect
94. #17988585	C₂²	semidirect
95. #17988584	C₂²	semidirect
96. #17988583	C₂²	semidirect
97. #17988582	C₂²	semidirect
98. #17988582	C₂²	semidirect
99. #17988581	C₂²	semidirect
100. #17988580	C₂²	semidirect
101. #17988580	C₂²	semidirect
102. #103×D₇₃	C₂²	semidirect
103. #103×D₇₃	C₂²	semidirect
104. #103×D₇₃	C₂²	semidirect
105. C₂×#14556513	C₂²	semidirect
106. C₂×#14556512	C₂²	semidirect
107. C₂×#14556511	C₂²	semidirect
112. #102×D₇₃	C₂²	semidirect
113. #102×D₇₃	C₂²	semidirect
114. #102×D₇₃	C₂²	semidirect
115. #102×D₇₃	C₂²	semidirect
116. #102×D₇₃	C₂²	semidirect
117. #17988545	C₂²	semidirect
118. #17988544	C₂²	semidirect
119. #17988543	C₂²	semidirect
120. #17988542	C₂²	semidirect
121. #17988541	C₂²	semidirect
122. #97×D₇₃	C₂²	semidirect
123. C₄×C₈×D₇₃	C₂²	semidirect
124. #544×C₇₃	C₂²	semidirect
126. #490×C₇₃	C₂²	semidirect
127. #489×C₇₃	C₂²	semidirect
128. #488×C₇₃	C₂²	semidirect
129. #486×C₇₃	C₂²	semidirect
130. #418×C₇₃	C₂²	semidirect
131. #417×C₇₃	C₂²	semidirect
132. #416×C₇₃	C₂²	semidirect
133. C₂×#102×C₇₃	C₂²	semidirect
134. #405×C₇₃	C₂²	semidirect
171. #14556591	C₂³	semidirect
176. #14556590	C₂³	semidirect
177. #14556590	C₂³	semidirect
186. #14556583	C₂³	semidirect
189. #14556582	C₂³	semidirect
190. #14556582	C₂³	semidirect
253. #14556516	C₂³	semidirect
254. #14556516	C₂³	semidirect
255. #14556516	C₂³	semidirect
256. #14556515	C₂³	semidirect
257. #14556515	C₂³	semidirect
258. #14556515	C₂³	semidirect
259. #14556514	C₂³	semidirect
260. #14556514	C₂³	semidirect
261. #14556514	C₂³	semidirect
266. #14556513	C₂³	semidirect
267. #14556513	C₂³	semidirect
268. #14556513	C₂³	semidirect
273. #14556512	C₂³	semidirect
274. #14556512	C₂³	semidirect
275. #14556512	C₂³	semidirect
280. #14556511	C₂³	semidirect
281. #14556511	C₂³	semidirect
282. #14556511	C₂³	semidirect
283. #14556502	C₂³	semidirect
284. #14556501	C₂³	semidirect
285. #14556501	C₂³	semidirect
286. C₄×#10596831	C₂³	semidirect
287. C₈×Dic₇₃	C₂³	semidirect
288. C₈×Dic₇₃	C₂³	semidirect
294. C₄⋊Q₈×C₇₃	C₂³	semidirect
297. #125×C₇₃	C₂³	semidirect
306. #103×C₇₃	C₂³	semidirect
307. #103×C₇₃	C₂³	semidirect
308. #103×C₇₃	C₂³	semidirect
313. #102×C₇₃	C₂³	semidirect
314. #102×C₇₃	C₂³	semidirect
315. #102×C₇₃	C₂³	semidirect
316. #97×C₇₃	C₂³	semidirect
317. C₄×C₈×C₇₃	C₂³	semidirect
636. D₇₃	#3136	direct (N × H)
650. #3136	D₇₃	direct (N × H)
660. C₇₃	C₂×#3136	semidirect
673. #544	C₂×D₇₃	semidirect
703. #490	C₂×D₇₃	semidirect
711. #489	C₂×D₇₃	semidirect
719. #488	C₂×D₇₃	semidirect
727. #486	C₂×D₇₃	semidirect
733. #418	C₂×D₇₃	semidirect
739. #417	C₂×D₇₃	semidirect
747. #416	C₂×D₇₃	semidirect
763. C₂×#102	C₂×D₇₃	semidirect
769. #405	C₂×D₇₃	semidirect
822. C₄⋊Q₈	C₂²×D₇₃	semidirect
840. #125	C₂²×D₇₃	semidirect
916. #103	C₂²×D₇₃	semidirect
917. #103	C₂²×D₇₃	semidirect
918. #103	C₂²×D₇₃	semidirect
944. #102	C₂²×D₇₃	semidirect
945. #102	C₂²×D₇₃	semidirect
946. #102	C₂²×D₇₃	semidirect
950. #97	C₂²×D₇₃	semidirect
954. C₄×C₈	C₂²×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#544×D₇₃	2
#535×D₇₃	2
#22620290	2
#22620289	2
#22620288	2
#22620287	2
#22620286	2
#22620285	2
#22620284	2
#22620283	2
#22620282	2
#22620281	2
#22620280	2
#490×D₇₃	2
#489×D₇₃	2
#488×D₇₃	2
#486×D₇₃	2
#417×D₇₃	2
#418×D₇₃	2
#416×D₇₃	2
C₂×#102×D₇₃	2
#405×D₇₃	2
C₇₃×#3136	2
C₂×#3136	73

Subgroups — #3136×D73 #33955214

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3136×D₇₃ #33955214