Subgroups — #33293999

Order 18688.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618284	C₂	1	1	yes	maximal, characteristic, complemented
2	#22618229	C₂	1	1	yes	maximal, characteristic, complemented
3	#22617833	C₂	1	1	yes	maximal, characteristic, complemented
4	#22617821	C₂	1	1	yes	maximal, characteristic, complemented
5	#22617808	C₂	1	1	yes	maximal, characteristic, complemented
6	#22617796	C₂	1	1	yes	maximal, characteristic, complemented
7	#22617566	C₂	1	1	yes	maximal, characteristic, complemented
8	#22617564	C₂	1	1	yes	maximal, characteristic, complemented
9	#22617229	C₂	1	1	yes	maximal, characteristic, complemented
10	#22617221	C₂	1	1	yes	maximal, characteristic, complemented
11	#22616942	C₂	1	1	yes	maximal, characteristic, complemented
12	#22616942	C₂	1	1	yes	maximal, characteristic, complemented
13	#22616776	C₂	1	1	yes	maximal, characteristic, complemented
14	#22616704	C₂	1	1	yes	maximal, characteristic, complemented
15	#22616699	C₂	1	1	yes	maximal, characteristic, complemented
16	#22616600	C₂	1	1	yes	maximal, characteristic, complemented
17	#22616598	C₂	1	1	yes	maximal, characteristic, complemented
18	#22615741	C₂	1	1	yes	maximal, characteristic, complemented
19	#22615670	C₂	1	1	yes	maximal, characteristic
20	#22614195	C₂	1	1	yes	maximal, characteristic, complemented
21	#22614188	C₂	1	1	yes	maximal, characteristic, complemented
22	#22614058	C₂	1	1	yes	maximal, characteristic, complemented
23	#22614055	C₂	1	1	yes	maximal, characteristic, complemented
24	#22613760	C₂	1	1	yes	maximal, characteristic, complemented
25	#22613756	C₂	1	1	yes	maximal, characteristic, complemented
26	#22613396	C₂	1	1	yes	maximal, characteristic, complemented
27	#22613390	C₂	1	1	yes	maximal, characteristic, complemented
28	#22612665	C₂	1	1	yes	maximal, characteristic, complemented
29	#22612628	C₂	1	1	yes	maximal, characteristic, complemented
30	#388×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#2718	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556591	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14556586	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14556577	C₂²	1	1	yes	characteristic
35	C₂×#14556577	C₂²	1	1	yes	characteristic
36	C₂×#14556577	C₂²	1	1	yes	characteristic, complemented
37	C₂×#14556576	C₂²	1	1	yes	characteristic
38	C₂×#14556571	C₂²	1	1	yes	characteristic
39	C₂×#14556571	C₂²	1	1	yes	characteristic
40	C₂×#14556569	C₂²	1	1	yes	characteristic
41	C₂×#14556564	C₂²	1	1	yes	characteristic
42	C₂×#14556561	C₂²	1	1	yes	characteristic
43	C₂×#14556559	C₂²	1	1	yes	characteristic
44	C₂×#14556553	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic
51	#17988529	C₂²	1	1	yes	characteristic, complemented
52	#17988527	C₂²	1	1	yes	characteristic, complemented
53	#17988526	C₂²	1	1	yes	characteristic, complemented
54	#17988526	C₂²	1	1	yes	characteristic, complemented
55	#17988525	C₂²	1	1	yes	characteristic, complemented
56	#17988523	C₂²	1	1	yes	characteristic
57	#17988522	C₂²	1	1	yes	characteristic
58	#17988522	C₂²	1	1	yes	characteristic
59	#17988520	C₂²	1	1	yes	characteristic, complemented
60	#17988516	C₂²	1	1	yes	characteristic
61	#17988516	C₂²	1	1	yes	characteristic, complemented
62	#17988515	C₂²	1	1	yes	characteristic
63	#17988515	C₂²	1	1	yes	characteristic
64	#17988514	C₂²	1	1	yes	characteristic
65	#17988513	C₂²	1	1	yes	characteristic
66	#17988512	C₂²	1	1	yes	characteristic
67	#17988512	C₂²	1	1	yes	characteristic, complemented
68	#17988510	C₂²	1	1	yes	characteristic
69	#17988510	C₂²	1	1	yes	characteristic, complemented
70	#17988510	C₂²	1	1	yes	characteristic, complemented
71	#17988509	C₂²	1	1	yes	characteristic
72	#17988509	C₂²	1	1	yes	characteristic
73	#17988509	C₂²	1	1	yes	characteristic, complemented
74	#17988509	C₂²	1	1	yes	characteristic, complemented
75	#17988504	C₂²	1	1	yes	characteristic
76	#17988504	C₂²	1	1	yes	characteristic
77	#17988504	C₂²	1	1	yes	characteristic
78	#17988503	C₂²	1	1	yes	characteristic
79	#17988503	C₂²	1	1	yes	characteristic
80	#17988503	C₂²	1	1	yes	characteristic
81	#17988503	C₂²	1	1	yes	characteristic
82	#17988503	C₂²	1	1	yes	characteristic
83	#17988503	C₂²	1	1	yes	characteristic
84	#17988501	C₂²	1	1	yes	characteristic
85	#17988500	C₂²	1	1	yes	characteristic
86	#17988500	C₂²	1	1	yes	characteristic
87	#17988500	C₂²	1	1	yes	characteristic, complemented
88	#17988499	C₂²	1	1	yes	characteristic
89	#17988499	C₂²	1	1	yes	characteristic
90	#17988499	C₂²	1	1	yes	characteristic, complemented
91	#17988496	C₂²	1	1	yes	characteristic
92	#17988495	C₂²	1	1	yes	characteristic
93	#17988492	C₂²	1	1	yes	characteristic, complemented
94	#17988492	C₂²	1	1	yes	characteristic, complemented
95	#17988492	C₂²	1	1	yes	characteristic, complemented
96	#17988491	C₂²	1	1	yes	characteristic, complemented
97	#17988491	C₂²	1	1	yes	characteristic, complemented
98	#17988491	C₂²	1	1	yes	characteristic, complemented
99	#17988491	C₂²	1	1	yes	characteristic, complemented
100	#17988490	C₂²	1	1	yes	characteristic
101	#17988489	C₂²	1	1	yes	characteristic
102	#17988487	C₂²	1	1	yes	characteristic, complemented
103	#17988486	C₂²	1	1	yes	characteristic, complemented
104	#17988486	C₂²	1	1	yes	characteristic, complemented
105	#17988486	C₂²	1	1	yes	characteristic, complemented
106	#17988486	C₂²	1	1	yes	characteristic, complemented
107	#17988482	C₂²	1	1	yes	characteristic, complemented
108	#17988481	C₂²	1	1	yes	characteristic
109	#17988481	C₂²	1	1	yes	characteristic, complemented
110	#17988481	C₂²	1	1	yes	characteristic, complemented
111	#17988480	C₂²	1	1	yes	characteristic
112	#17988480	C₂²	1	1	yes	characteristic
113	#17988480	C₂²	1	1	yes	characteristic
114	#17988480	C₂²	1	1	yes	characteristic, complemented
115	#17988479	C₂²	1	1	yes	characteristic
116	#17988479	C₂²	1	1	yes	characteristic
117	#17988479	C₂²	1	1	yes	characteristic
118	#17988479	C₂²	1	1	yes	characteristic, complemented
119	#17988479	C₂²	1	1	yes	characteristic, complemented
120	#17988478	C₂²	1	1	yes	characteristic
121	#17988478	C₂²	1	1	yes	characteristic, complemented
122	#17988477	C₂²	1	1	yes	characteristic
123	#17988477	C₂²	1	1	yes	characteristic
124	#17988477	C₂²	1	1	yes	characteristic
125	#17988477	C₂²	1	1	yes	characteristic, complemented
126	#17988476	C₂²	1	1	yes	characteristic
127	#17988475	C₂²	1	1	yes	characteristic
128	#17988475	C₂²	1	1	yes	characteristic
129	#17988474	C₂²	1	1	yes	characteristic, complemented
130	#17988474	C₂²	1	1	yes	characteristic, complemented
131	#17988474	C₂²	1	1	yes	characteristic, complemented
132	#17988474	C₂²	1	1	yes	characteristic, complemented
133	#17988473	C₂²	1	1	yes	characteristic, complemented
134	#17988473	C₂²	1	1	yes	characteristic, complemented
135	#17988473	C₂²	1	1	yes	characteristic, complemented
136	#17988471	C₂²	1	1	yes	characteristic, complemented
137	#17988471	C₂²	1	1	yes	characteristic, complemented
138	#17988469	C₂²	1	1	yes	characteristic, complemented
139	#17988468	C₂²	1	1	yes	characteristic, complemented
140	#17988468	C₂²	1	1	yes	characteristic, complemented
141	#17988466	C₂²	1	1	yes	characteristic
142	#17988466	C₂²	1	1	yes	characteristic, complemented
143	#17988465	C₂²	1	1	yes	characteristic
144	#17988465	C₂²	1	1	yes	characteristic
145	#17988465	C₂²	1	1	yes	characteristic
146	#17988465	C₂²	1	1	yes	characteristic
147	#17988463	C₂²	1	1	yes	characteristic
148	#17988463	C₂²	1	1	yes	characteristic
149	#17988463	C₂²	1	1	yes	characteristic
150	#17988463	C₂²	1	1	yes	characteristic
151	#17988463	C₂²	1	1	yes	characteristic
152	#17988463	C₂²	1	1	yes	characteristic, complemented
153	#17988461	C₂²	1	1	yes	characteristic
154	#17988458	C₂²	1	1	yes	characteristic
155	#17988458	C₂²	1	1	yes	characteristic
156	#17988458	C₂²	1	1	yes	characteristic
157	#17988458	C₂²	1	1	yes	characteristic, complemented
158	#17988458	C₂²	1	1	yes	characteristic, complemented
159	#17988451	C₂²	1	1	yes	characteristic, complemented
160	#17988447	C₂²	1	1	yes	characteristic, complemented
161	#17988444	C₂²	1	1	yes	characteristic
162	#17988444	C₂²	1	1	yes	characteristic
163	#17988444	C₂²	1	1	yes	characteristic
164	#17988444	C₂²	1	1	yes	characteristic
165	#17988444	C₂²	1	1	yes	characteristic, complemented
166	#17988442	C₂²	1	1	yes	characteristic
167	#17988442	C₂²	1	1	yes	characteristic
168	C₄×#11924005	C₂²	1	1	yes	characteristic
169	#17988434	C₂²	1	1	yes	characteristic
170	#95×D₇₃	C₂²	1	1	yes	characteristic
171	#95×D₇₃	C₂²	1	1	yes	characteristic
172	C₂×#126×C₇₃	C₂²	1	1	yes	characteristic, complemented
173	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
174	#400×C₇₃	C₂²	1	1	yes	characteristic, complemented
175	#399×C₇₃	C₂²	1	1	yes	characteristic
176	#398×C₇₃	C₂²	1	1	yes	characteristic, complemented
177	#396×C₇₃	C₂²	1	1	yes	characteristic
178	#394×C₇₃	C₂²	1	1	yes	characteristic
179	#394×C₇₃	C₂²	1	1	yes	characteristic
180	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
181	#388×C₇₃	C₂²	1	1	yes	characteristic
182	#388×C₇₃	C₂²	1	1	yes	characteristic
183	#388×C₇₃	C₂²	1	1	yes	characteristic, complemented
184	#385×C₇₃	C₂²	1	1	yes	characteristic, complemented
185	#385×C₇₃	C₂²	1	1	yes	characteristic, complemented
186	#384×C₇₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
191	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
192	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
204	#14556591	—	4	2	no	—
205	#14556586	—	4	2	no	—
206	#14556577	—	4	2	no	—
207	#14556577	—	4	2	no	—
208	#14556577	—	4	2	no	—
209	#14556576	—	4	2	no	—
210	#14556571	—	4	2	no	—
211	#14556571	—	4	2	no	—
212	#14556569	—	2	4	no	—
213	#14556564	—	2	4	no	—
214	#14556561	—	4	2	no	—
215	#14556559	—	4	2	no	—
216	#14556553	—	4	2	no	—
217	C₄×C₂²⋊D₇₃	—	4	2	no	—
218	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
228	C₂×#11924007	C₂³	1	1	yes	characteristic
229	C₂×#11924007	C₂³	1	1	yes	characteristic
230	C₂×#11924007	C₂³	1	1	yes	characteristic
231	C₂×#11924007	C₂³	1	1	yes	characteristic
232	C₂×#11924007	C₂³	1	1	yes	characteristic
233	C₂×#11924007	C₂³	1	1	yes	characteristic
234	C₂×#11924007	C₂³	1	1	yes	characteristic
235	C₂×#11924007	C₂³	1	1	yes	characteristic
236	C₂×#11924007	C₂³	1	1	yes	characteristic
237	C₂×#11924007	C₂³	1	1	yes	characteristic
238	C₄⋊C₄×D₇₃	—	4	2	no	—
239	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
250	C₂×#11924005	C₂³	1	1	yes	characteristic
251	C₂×#11924005	C₂³	1	1	yes	characteristic
252	C₂×#11924005	C₂³	1	1	yes	characteristic
253	C₂×#11924005	C₂³	1	1	yes	characteristic
254	C₂×#11924005	C₂³	1	1	yes	characteristic
255	C₂×#11924005	C₂³	1	1	yes	characteristic
256	C₂×#11924005	C₂³	1	1	yes	characteristic
257	C₂×#11924005	C₂³	1	1	yes	characteristic
258	C₂×#11924005	C₂³	1	1	yes	characteristic
259	C₂×#11924005	C₂³	1	1	yes	characteristic
260	C₂×#11924005	C₂³	1	1	yes	characteristic
261	C₂×#11924005	C₂³	1	1	yes	characteristic
262	C₂×#11924005	C₂³	1	1	yes	characteristic
263	C₂×#11924005	C₂³	1	1	yes	characteristic
264	C₂×#11924005	C₂³	1	1	yes	characteristic
265	C₂×#11924005	C₂³	1	1	yes	characteristic
266	C₂×#11924005	C₂³	1	1	yes	characteristic
267	C₂×#11924005	C₂³	1	1	yes	characteristic
268	C₂×#11924005	C₂³	1	1	yes	characteristic
269	C₂×#11924005	C₂³	1	1	yes	characteristic
270	C₂×#11924005	C₂³	1	1	yes	characteristic
271	C₂×#11924005	C₂³	1	1	yes	characteristic
272	C₂×#11924005	C₂³	1	1	yes	characteristic
273	C₂×#11924005	C₂³	1	1	yes	characteristic
274	C₂×#11924005	C₂³	1	1	yes	characteristic
275	C₂×#11924005	C₂³	1	1	yes	characteristic
276	C₂×#11924005	C₂³	1	1	yes	characteristic
277	C₂×#11924005	C₂³	1	1	yes	characteristic
278	C₂²⋊C₄×D₇₃	—	2	4	no	—
279	C₂²⋊C₄×D₇₃	—	4	2	no	—
280	C₂²⋊C₄×D₇₃	—	4	2	no	—
281	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
289	C₄²×D₇₃	—	4	2	no	—
290	#14556498	C₂³	1	1	yes	characteristic
291	#14556498	C₂³	1	1	yes	characteristic
292	#14556498	C₂³	1	1	yes	characteristic
293	#14556498	C₂³	1	1	yes	characteristic
294	#14556498	C₂³	1	1	yes	characteristic
295	#14556498	C₂³	1	1	yes	characteristic
296	#14556498	C₂³	1	1	yes	characteristic
297	#14556498	C₂³	1	1	yes	characteristic
298	#14556498	C₂³	1	1	yes	characteristic
299	#14556498	C₂³	1	1	yes	characteristic
300	#14556498	C₂³	1	1	yes	characteristic
301	#14556498	C₂³	1	1	yes	characteristic
302	#14556498	C₂³	1	1	yes	characteristic
303	#14556498	C₂³	1	1	yes	characteristic
304	#14556498	C₂³	1	1	yes	characteristic
305	#14556498	C₂³	1	1	yes	characteristic
306	#14556498	C₂³	1	1	yes	characteristic
307	#14556498	C₂³	1	1	yes	characteristic
308	#14556498	C₂³	1	1	yes	characteristic
309	#14556498	C₂³	1	1	yes	characteristic
310	#14556498	C₂³	1	1	yes	characteristic
311	#14556498	C₂³	1	1	yes	characteristic
312	#14556498	C₂³	1	1	yes	characteristic
313	#14556498	C₂³	1	1	yes	characteristic
314	#14556498	C₂³	1	1	yes	characteristic
315	#14556498	C₂³	1	1	yes	characteristic
316	#14556498	C₂³	1	1	yes	characteristic
317	#14556498	C₂³	1	1	yes	characteristic
318	#14556498	C₂³	1	1	yes	characteristic
319	#14556498	C₂³	1	1	yes	characteristic
320	#14556498	C₂³	1	1	yes	characteristic
321	#14556498	C₂³	1	1	yes	characteristic
322	#14556498	C₂³	1	1	yes	characteristic
323	#14556498	C₂³	1	1	yes	characteristic
324	#14556498	C₂³	1	1	yes	characteristic
325	#14556498	C₂³	1	1	yes	characteristic
326	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
328	#126×C₇₃	—	4	2	no	—
329	#123×C₇₃	—	4	2	no	—
330	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
355	#95×C₇₃	C₂³	1	1	yes	characteristic
356	#95×C₇₃	C₂³	1	1	yes	characteristic
357	#95×C₇₃	C₂³	1	1	yes	characteristic
358	#95×C₇₃	C₂³	1	1	yes	characteristic
359	#95×C₇₃	C₂³	1	1	yes	characteristic
360	#95×C₇₃	C₂³	1	1	yes	characteristic
361	#95×C₇₃	C₂³	1	1	yes	characteristic
362	#95×C₇₃	C₂³	1	1	yes	characteristic
363	C₂³×D₇₃	—	2	2	no	—
364	C₂³×D₇₃	—	2	2	no	—
365	C₂³×D₇₃	—	2	2	no	—
366	C₂³×D₇₃	—	4	1	no	—
367	C₂³×D₇₃	—	4	1	no	—
368	C₂³×D₇₃	—	4	1	no	—
369	C₂³×D₇₃	—	4	1	no	—
370	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
371	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
372	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
373	C₂×Dic₁₄₆	—	2	2	no	—
374	C₂×Dic₁₄₆	—	2	2	no	—
375	C₂×Dic₁₄₆	—	2	2	no	—
376	C₂×Dic₁₄₆	—	4	1	no	—
377	C₂×Dic₁₄₆	—	4	1	no	—
378	C₂×Dic₁₄₆	—	4	1	no	—
379	C₂×Dic₁₄₆	—	4	1	no	—
380	C₂×Dic₁₄₆	—	4	1	no	—
381	C₂×Dic₁₄₆	—	4	1	no	—
382	C₂×D₂₉₂	—	2	2	no	—
383	C₂×D₂₉₂	—	2	2	no	—
384	C₂×D₂₉₂	—	2	2	no	—
385	C₂×D₂₉₂	—	4	1	no	—
386	C₂×D₂₉₂	—	4	1	no	—
387	C₂×D₂₉₂	—	4	1	no	—
388	C₂×C₂²⋊D₇₃	—	2	2	no	—
389	C₂×C₂²⋊D₇₃	—	2	2	no	—
390	C₂×C₂²⋊D₇₃	—	2	2	no	—
391	C₂×C₂²⋊D₇₃	—	2	2	no	—
392	C₂×C₂²⋊D₇₃	—	4	1	no	—
393	C₂×C₂²⋊D₇₃	—	4	1	no	—
394	C₂×C₂²⋊D₇₃	—	4	1	no	—
395	C₂×C₂²⋊D₇₃	—	4	1	no	—
396	C₂×C₂²⋊D₇₃	—	4	1	no	—
397	C₂×C₂²⋊D₇₃	—	4	1	no	—
398	C₂×C₂²⋊D₇₃	—	4	1	no	—
399	C₂×C₂²⋊D₇₃	—	4	1	no	—
400	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
413	C₂×C₄×D₇₃	—	2	2	no	—
414	C₂×C₄×D₇₃	—	2	2	no	—
415	C₂×C₄×D₇₃	—	2	2	no	—
416	C₂×C₄×D₇₃	—	2	2	no	—
417	C₂×C₄×D₇₃	—	2	2	no	—
418	C₂×C₄×D₇₃	—	2	2	no	—
419	C₂×C₄×D₇₃	—	2	2	no	—
420	C₂×C₄×D₇₃	—	4	1	no	—
421	C₂×C₄×D₇₃	—	4	1	no	—
422	C₂×C₄×D₇₃	—	4	1	no	—
423	C₂×C₄×D₇₃	—	4	1	no	—
424	C₂×C₄×D₇₃	—	4	1	no	—
425	C₂×C₄×D₇₃	—	4	1	no	—
426	C₂×C₄×D₇₃	—	4	1	no	—
427	C₂×C₄×D₇₃	—	4	1	no	—
428	C₂×C₄×D₇₃	—	4	1	no	—
429	C₂×C₄×D₇₃	—	4	1	no	—
430	C₂×C₄×D₇₃	—	4	1	no	—
431	C₂×C₄×D₇₃	—	4	1	no	—
432	C₂×C₄×D₇₃	—	4	1	no	—
433	C₂×C₄×D₇₃	#41	1	4	yes	—
434	C₄⋊Dic₇₃	—	4	1	no	—
435	C₄⋊Dic₇₃	—	4	1	no	—
436	C₄⋊Dic₇₃	—	4	1	no	—
437	C₄⋊Dic₇₃	—	4	1	no	—
438	C₄⋊Dic₇₃	—	4	1	no	—
439	C₄⋊Dic₇₃	—	4	1	no	—
440	C₄⋊Dic₇₃	—	4	1	no	—
441	C₄⋊Dic₇₃	—	4	1	no	—
442	C₄⋊Dic₇₃	—	4	1	no	—
443	C₄⋊Dic₇₃	—	4	1	no	—
444	#11924007	—	2	2	no	—
445	#11924007	—	2	2	no	—
446	#11924007	—	2	2	no	—
447	#11924007	—	2	2	no	—
448	#11924007	—	4	1	no	—
449	#11924007	—	4	1	no	—
450	#11924007	—	4	1	no	—
451	#11924007	—	4	1	no	—
452	#11924007	—	4	1	no	—
453	#11924007	—	4	1	no	—
454	C₂²⋊Dic₇₃	—	2	2	no	—
455	C₂²⋊Dic₇₃	—	4	1	no	—
456	C₂²⋊Dic₇₃	—	4	1	no	—
457	C₂²⋊Dic₇₃	—	4	1	no	—
458	C₂²⋊Dic₇₃	—	4	1	no	—
459	C₂²⋊Dic₇₃	—	4	1	no	—
460	C₂²⋊Dic₇₃	—	4	1	no	—
461	C₂²⋊Dic₇₃	—	4	1	no	—
462	C₂²⋊Dic₇₃	—	4	1	no	—
463	C₂²⋊Dic₇₃	—	4	1	no	—
464	C₂²⋊Dic₇₃	—	4	1	no	—
465	#11924005	—	2	2	no	—
466	#11924005	—	2	2	no	—
467	#11924005	—	2	2	no	—
468	#11924005	—	2	2	no	—
469	#11924005	—	2	2	no	—
470	#11924005	—	2	2	no	—
471	#11924005	—	2	2	no	—
472	#11924005	—	2	2	no	—
473	#11924005	—	2	2	no	—
474	#11924005	—	2	2	no	—
475	#11924005	—	2	2	no	—
476	#11924005	—	2	2	no	—
477	#11924005	—	2	2	no	—
478	#11924005	—	4	1	no	—
479	#11924005	—	4	1	no	—
480	#11924005	—	4	1	no	—
481	#11924005	—	4	1	no	—
482	#11924005	—	4	1	no	—
483	#11924005	—	4	1	no	—
484	#11924005	—	4	1	no	—
485	#11924005	—	4	1	no	—
486	#11924005	—	4	1	no	—
487	#11924005	—	4	1	no	—
488	#11924005	—	4	1	no	—
489	#11924005	—	4	1	no	—
490	#11924005	—	4	1	no	—
491	#11924005	—	4	1	no	—
492	#11924005	—	4	1	no	—
493	C₄×Dic₇₃	—	2	2	no	—
494	C₄×Dic₇₃	—	4	1	no	—
495	C₄×Dic₇₃	—	4	1	no	—
496	C₄×Dic₇₃	—	4	1	no	—
497	C₄×Dic₇₃	—	4	1	no	—
498	C₄×Dic₇₃	—	4	1	no	—
499	C₄×Dic₇₃	—	4	1	no	—
500	C₄×Dic₇₃	—	4	1	no	—
501	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
502	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₇₃	—	4	1	no	—
504	C₂×D₄×C₇₃	—	4	1	no	—
505	C₂×D₄×C₇₃	—	4	1	no	—
506	C₂²×C₄×C₇₃	—	4	1	no	—
507	C₂²×C₄×C₇₃	—	4	1	no	—
508	C₂²×C₄×C₇₃	—	4	1	no	—
509	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
522	C₄⋊C₄×C₇₃	—	2	2	no	—
523	C₄⋊C₄×C₇₃	—	2	2	no	—
524	C₄⋊C₄×C₇₃	—	2	2	no	—
525	C₄⋊C₄×C₇₃	—	2	2	no	—
526	C₄⋊C₄×C₇₃	—	4	1	no	—
527	C₄⋊C₄×C₇₃	—	4	1	no	—
528	C₄⋊C₄×C₇₃	—	4	1	no	—
529	C₄⋊C₄×C₇₃	—	4	1	no	—
530	C₄⋊C₄×C₇₃	—	4	1	no	—
531	C₄⋊C₄×C₇₃	—	4	1	no	—
532	C₄⋊C₄×C₇₃	—	4	1	no	—
533	C₄⋊C₄×C₇₃	—	4	1	no	—
534	C₂²⋊C₄×C₇₃	—	2	2	no	—
535	C₂²⋊C₄×C₇₃	—	2	2	no	—
536	C₂²⋊C₄×C₇₃	—	2	2	no	—
537	C₂²⋊C₄×C₇₃	—	2	2	no	—
538	C₂²⋊C₄×C₇₃	—	2	2	no	—
539	C₂²⋊C₄×C₇₃	—	2	2	no	—
540	C₂²⋊C₄×C₇₃	—	4	1	no	—
541	C₂²⋊C₄×C₇₃	—	4	1	no	—
542	C₂²⋊C₄×C₇₃	—	4	1	no	—
543	C₂²⋊C₄×C₇₃	—	4	1	no	—
544	C₂²⋊C₄×C₇₃	—	4	1	no	—
545	C₄²×C₇₃	—	2	2	no	—
546	C₄²×C₇₃	—	4	1	no	—
547	C₂³×C₇₃	—	2	1	no	—
548	C₂³×C₇₃	—	2	1	no	—
549	C₂³×C₇₃	—	2	1	no	—
550	C₂³×C₇₃	—	2	1	no	—
551	C₂³×C₇₃	—	2	1	no	—
552	C₂³×C₇₃	—	2	1	no	—
553	C₂³×C₇₃	—	2	1	no	—
554	C₂³×C₇₃	—	2	1	no	—
555	C₂³×C₇₃	—	2	1	no	—
556	C₂³×C₇₃	—	2	1	no	—
557	C₂³×C₇₃	—	2	1	no	—
558	C₂³×C₇₃	—	2	1	no	—
559	C₂³×C₇₃	—	2	1	no	—
560	C₂³×C₇₃	—	2	1	no	—
561	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
562	C₂²×D₇₃	—	2	1	no	—
563	C₂²×D₇₃	—	2	1	no	—
564	C₂²×D₇₃	—	2	1	no	—
565	C₂²×D₇₃	—	2	1	no	—
566	C₂²×D₇₃	—	2	1	no	—
567	C₂²×D₇₃	—	2	1	no	—
568	C₂²×D₇₃	—	2	1	no	—
569	C₂²×D₇₃	—	2	1	no	—
570	C₂²×D₇₃	—	2	1	no	—
571	C₂²×D₇₃	—	2	1	no	—
572	C₂²×D₇₃	—	2	1	no	—
573	C₂²×D₇₃	—	2	1	no	—
574	C₂²×D₇₃	—	2	1	no	—
575	C₂²×D₇₃	—	2	1	no	—
576	C₂²×D₇₃	—	2	1	no	—
577	C₂²×D₇₃	—	2	1	no	—
578	C₂²×D₇₃	—	2	1	no	—
579	C₂²×D₇₃	—	2	1	no	—
580	C₂²×D₇₃	—	4	4	no	—
581	C₂²×D₇₃	—	4	4	no	—
582	C₂²×D₇₃	—	4	4	no	—
583	C₂²×D₇₃	—	8	2	no	—
584	C₂²×D₇₃	—	8	2	no	—
585	C₂²×D₇₃	—	8	2	no	—
586	C₂²×D₇₃	—	8	2	no	—
587	C₂²×D₇₃	C₂×#41	1	2	yes	—
588	C₂²×D₇₃	H(5,𝔽₂)	1	2	yes	—
589	C₂²×D₇₃	2₋¹⁺⁴	1	2	yes	—
590	D₄×C₇₃	—	8	2	no	—
591	C₂×C₄×C₇₃	—	2	1	no	—
592	C₂×C₄×C₇₃	—	2	1	no	—
593	C₂×C₄×C₇₃	—	2	1	no	—
594	C₂×C₄×C₇₃	—	2	1	no	—
595	C₂×C₄×C₇₃	—	2	1	no	—
596	C₂×C₄×C₇₃	—	2	1	no	—
597	C₂×C₄×C₇₃	—	2	1	no	—
598	C₂×C₄×C₇₃	—	2	1	no	—
599	C₂×C₄×C₇₃	—	2	1	no	—
600	C₂×C₄×C₇₃	—	2	1	no	—
601	C₂×C₄×C₇₃	—	2	1	no	—
602	C₂×C₄×C₇₃	—	2	1	no	—
603	C₂×C₄×C₇₃	—	2	1	no	—
604	C₂×C₄×C₇₃	—	2	1	no	—
605	C₂×C₄×C₇₃	—	2	1	no	—
606	C₂×C₄×C₇₃	—	2	1	no	—
607	C₂×C₄×C₇₃	—	2	1	no	—
608	C₂×C₄×C₇₃	—	2	1	no	—
609	C₂×C₄×C₇₃	—	2	1	no	—
610	C₂×C₄×C₇₃	—	2	1	no	—
611	C₂×C₄×C₇₃	—	2	1	no	—
612	C₂×C₄×C₇₃	—	2	1	no	—
613	C₂×C₄×C₇₃	—	2	1	no	—
614	C₂×C₄×C₇₃	—	2	1	no	—
615	C₂×C₄×C₇₃	—	2	1	no	—
616	C₂×C₄×C₇₃	—	2	1	no	—
617	C₂×C₄×C₇₃	—	2	1	no	—
618	C₂×C₄×C₇₃	—	2	1	no	—
619	C₂×C₄×C₇₃	—	2	1	no	—
620	C₂×C₄×C₇₃	—	2	1	no	—
621	C₂×C₄×C₇₃	—	2	1	no	—
622	C₂×C₄×C₇₃	—	2	1	no	—
623	C₂×C₄×C₇₃	—	2	1	no	—
624	C₂×C₄×C₇₃	—	2	1	no	—
625	C₂×C₄×C₇₃	—	2	1	no	—
626	C₂×C₄×C₇₃	—	2	1	no	—
627	C₂×C₄×C₇₃	—	8	2	no	—
628	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
629	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
630	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
631	C₂²⋊D₇₃	—	4	4	no	—
632	C₂²⋊D₇₃	—	8	2	no	—
633	C₂²⋊D₇₃	—	8	2	no	—
634	C₂²⋊D₇₃	—	8	2	no	—
635	C₂×Dic₇₃	—	2	1	no	—
636	C₂×Dic₇₃	—	2	1	no	—
637	C₂×Dic₇₃	—	2	1	no	—
638	C₂×Dic₇₃	—	2	1	no	—
639	C₂×Dic₇₃	—	2	1	no	—
640	C₂×Dic₇₃	—	2	1	no	—
641	C₂×Dic₇₃	—	2	1	no	—
642	C₂×Dic₇₃	—	2	1	no	—
643	C₂×Dic₇₃	—	2	1	no	—
644	C₂×Dic₇₃	—	2	1	no	—
645	C₂×Dic₇₃	—	2	1	no	—
646	C₂×Dic₇₃	—	2	1	no	—
647	C₂×Dic₇₃	—	2	1	no	—
648	C₂×Dic₇₃	—	2	1	no	—
649	C₂×Dic₇₃	—	2	1	no	—
650	C₂×Dic₇₃	—	2	1	no	—
651	C₂×Dic₇₃	—	2	1	no	—
652	C₂×Dic₇₃	—	2	1	no	—
653	C₂×Dic₇₃	—	2	1	no	—
654	C₂×Dic₇₃	—	2	1	no	—
655	C₂×Dic₇₃	—	2	1	no	—
656	C₂×Dic₇₃	—	2	1	no	—
657	C₂×Dic₇₃	—	2	1	no	—
658	C₂×Dic₇₃	—	2	1	no	—
659	C₂×Dic₇₃	—	2	1	no	—
660	C₂×Dic₇₃	—	2	1	no	—
661	C₂×Dic₇₃	—	2	1	no	—
662	C₂×Dic₇₃	—	2	1	no	—
663	C₂×Dic₇₃	—	2	1	no	—
664	C₂×Dic₇₃	—	2	1	no	—
665	C₂×Dic₇₃	—	2	1	no	—
666	C₂×Dic₇₃	—	2	1	no	—
667	C₂×Dic₇₃	—	2	1	no	—
668	C₂×Dic₇₃	—	2	1	no	—
669	C₂×Dic₇₃	—	2	1	no	—
670	C₂×Dic₇₃	—	2	1	no	—
671	C₂×Dic₇₃	—	2	1	no	—
672	C₂×Dic₇₃	—	2	1	no	—
673	C₂×Dic₇₃	C₂×#41	1	2	yes	—
674	D₂₉₂	—	4	4	no	—
675	D₂₉₂	—	8	2	no	—
676	C₄×D₇₃	—	4	4	no	—
677	C₄×D₇₃	—	4	4	no	—
678	C₄×D₇₃	—	4	4	no	—
679	C₄×D₇₃	—	4	4	no	—
680	C₄×D₇₃	—	8	2	no	—
681	C₄×D₇₃	—	8	2	no	—
682	C₄×D₇₃	—	8	2	no	—
683	Dic₁₄₆	—	8	2	no	—
684	Dic₁₄₆	—	8	2	no	—
685	Dic₁₄₆	—	8	2	no	—
686	C₂²×C₇₃	—	4	1	no	—
687	C₂²×C₇₃	—	4	1	no	—
688	C₂²×C₇₃	—	4	1	no	—
689	C₂²×C₇₃	—	4	1	no	—
690	C₂²×C₇₃	—	4	1	no	—
691	C₂²×C₇₃	—	4	1	no	—
692	C₂²×C₇₃	—	4	1	no	—
693	C₂²×C₇₃	—	4	1	no	—
694	C₂²×C₇₃	—	4	1	no	—
695	C₂²×C₇₃	—	4	1	no	—
696	C₂²×C₇₃	—	4	1	no	—
697	C₂²×C₇₃	—	4	1	no	—
698	C₂²×C₇₃	—	4	1	no	—
699	C₂²×C₇₃	—	4	1	no	—
700	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
701	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
702	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
703	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
704	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
705	C₂²×C₇₃	#585	1	1	yes	characteristic
706	C₂²×C₇₃	#585	1	1	yes	characteristic
707	C₂×D₇₃	—	2	2	no	—
708	C₂×D₇₃	—	2	2	no	—
709	C₂×D₇₃	—	2	2	no	—
710	C₂×D₇₃	—	2	2	no	—
711	C₂×D₇₃	—	2	2	no	—
712	C₂×D₇₃	—	2	2	no	—
713	C₂×D₇₃	—	4	1	no	—
714	C₂×D₇₃	—	4	1	no	—
715	C₂×D₇₃	—	4	1	no	—
716	C₂×D₇₃	—	4	1	no	—
717	C₂×D₇₃	—	4	1	no	—
718	C₂×D₇₃	—	4	1	no	—
719	C₂×D₇₃	—	4	1	no	—
720	C₂×D₇₃	—	4	1	no	—
721	C₂×D₇₃	—	4	1	no	—
722	C₂×D₇₃	—	4	1	no	—
723	C₂×D₇₃	—	4	1	no	—
724	C₂×D₇₃	—	4	1	no	—
725	C₂×D₇₃	—	4	1	no	—
726	C₂×D₇₃	—	4	1	no	—
727	C₂×D₇₃	—	8	8	no	—
728	C₂×D₇₃	#542	1	4	yes	—
729	C₄×C₇₃	—	2	2	no	—
730	C₄×C₇₃	—	2	2	no	—
731	C₄×C₇₃	—	2	2	no	—
732	C₄×C₇₃	—	4	1	no	—
733	C₄×C₇₃	—	4	1	no	—
734	C₄×C₇₃	—	4	1	no	—
735	C₄×C₇₃	—	4	1	no	—
736	C₄×C₇₃	—	4	1	no	—
737	C₄×C₇₃	—	4	1	no	—
738	C₄×C₇₃	—	4	1	no	—
739	C₄×C₇₃	—	4	1	no	—
740	C₄×C₇₃	—	4	1	no	—
741	C₄×C₇₃	—	4	1	no	—
742	Dic₇₃	—	2	2	no	—
743	Dic₇₃	—	4	1	no	—
744	Dic₇₃	—	4	1	no	—
745	Dic₇₃	—	4	1	no	—
746	Dic₇₃	—	4	1	no	—
747	Dic₇₃	—	4	1	no	—
748	Dic₇₃	—	4	1	no	—
749	Dic₇₃	—	4	1	no	—
750	Dic₇₃	—	4	1	no	—
751	Dic₇₃	—	4	1	no	—
752	Dic₇₃	—	4	1	no	—
753	Dic₇₃	—	4	1	no	—
754	Dic₇₃	—	4	1	no	—
755	#36765	—	73	1	no	maximal, Sylow
756	C₂×C₇₃	—	8	1	no	—
757	C₂×C₇₃	—	8	1	no	—
758	C₂×C₇₃	C₂×#542	1	1	yes	characteristic
759	C₂×C₇₃	#3505	1	1	yes	characteristic
760	C₂×C₇₃	#3506	1	1	yes	characteristic
761	C₂×C₇₃	#3534	1	1	yes	characteristic
762	C₂×C₇₃	#3536	1	1	yes	characteristic
763	C₂×C₇₃	#3558	1	1	yes	characteristic
764	C₂×C₇₃	#3564	1	1	yes	characteristic
765	D₇₃	—	2	4	no	—
766	D₇₃	—	8	1	no	—
767	D₇₃	—	8	1	no	—
768	#2857	—	73	1	no	—
769	#2850	—	73	1	no	—
770	#2800	—	73	1	no	—
771	#2800	—	73	1	no	—
772	#2798	—	73	1	no	—
773	#2798	—	73	1	no	—
774	#2779	—	73	1	no	—
775	#2779	—	73	1	no	—
776	#2754	—	73	1	no	—
777	#2754	—	73	1	no	—
778	#2731	—	73	1	no	—
779	#2731	—	73	1	no	—
780	#2718	—	73	1	no	—
781	#2718	D₇₃	1	1	yes	characteristic, complemented
782	#2712	—	73	1	no	—
783	#2712	—	73	1	no	—
784	#2705	—	73	1	no	—
785	#2705	—	73	1	no	—
786	#2626	—	73	1	no	—
787	#2617	—	73	1	no	—
788	#2481	—	73	1	no	—
789	#2481	—	73	1	no	—
790	#2472	—	73	1	no	—
791	#2472	—	73	1	no	—
792	#2450	—	73	1	no	—
793	#2450	—	73	1	no	—
794	#2418	—	73	1	no	—
795	#2418	—	73	1	no	—
796	#2329	—	73	1	no	—
797	#2325	—	73	1	no	—
798	C₂×#388	—	73	1	no	—
799	C₇₃	#36765	1	1	yes	characteristic, complemented, Sylow
800	C₂×C₄⋊Q₈	—	73	1	no	—
801	C₂×#126	—	73	1	no	—
802	C₂×#126	C₂×D₇₃	1	1	yes	characteristic, complemented
803	C₂×#124	—	73	1	no	—
804	C₂×#124	—	73	1	no	—
805	C₂×#124	—	73	1	no	—
806	C₂×#123	—	73	1	no	—
807	C₂×#123	C₂×D₇₃	1	1	yes	characteristic
808	C₂×C₂²⋊Q₈	—	73	1	no	—
809	C₂×C₂²⋊Q₈	—	73	1	no	—
810	C₂×C₂²⋊Q₈	—	73	1	no	—
811	C₂×#121	—	73	1	no	—
812	C₂×#120	—	73	1	no	—
813	C₂×#120	—	73	1	no	—
814	C₂×C₄×D₄	—	73	1	no	—
815	C₂×C₄×D₄	—	73	1	no	—
816	C₂²×C₄⋊C₄	—	73	1	no	—
817	C₂²×C₂²⋊C₄	—	73	1	no	—
818	C₂²×C₂²⋊C₄	—	73	1	no	—
819	C₂²×C₂²⋊C₄	—	73	1	no	—
820	C₂²×C₄²	—	73	1	no	—
821	#400	—	73	1	no	—
822	#400	—	73	1	no	—
823	#400	—	73	1	no	—
824	#400	—	73	1	no	—
825	#400	—	73	1	no	—
826	#400	C₂×D₇₃	1	1	yes	characteristic, complemented
827	#399	—	73	1	no	—
828	#399	—	73	1	no	—
829	#399	—	73	1	no	—
830	#399	C₂×D₇₃	1	1	yes	characteristic
831	#398	—	73	1	no	—
832	#398	C₂×D₇₃	1	1	yes	characteristic, complemented
833	#397	—	73	1	no	—
834	#397	—	73	1	no	—
835	#397	—	73	1	no	—
836	#397	—	73	1	no	—
837	#397	—	73	1	no	—
838	#397	—	73	1	no	—
839	#397	—	73	1	no	—
840	#397	—	73	1	no	—
841	#396	—	73	1	no	—
842	#396	—	73	1	no	—
843	#396	—	73	1	no	—
844	#396	—	73	1	no	—
845	#396	—	73	1	no	—
846	#396	—	73	1	no	—
847	#396	—	73	1	no	—
848	#396	C₂×D₇₃	1	1	yes	characteristic
849	#394	—	73	1	no	—
850	#394	—	73	1	no	—
851	#394	—	73	1	no	—
852	#394	—	73	1	no	—
853	#394	—	73	1	no	—
854	#394	—	73	1	no	—
855	#394	—	73	1	no	—
856	#394	—	73	1	no	—
857	#394	—	73	1	no	—
858	#394	—	73	1	no	—
859	#394	C₂×D₇₃	1	1	yes	characteristic
860	#394	C₂×D₇₃	1	1	yes	characteristic
861	#393	—	73	1	no	—
862	#393	—	73	1	no	—
863	#393	—	73	1	no	—
864	#393	—	73	1	no	—
865	#393	—	73	1	no	—
866	#393	—	73	1	no	—
867	#392	—	73	1	no	—
868	#392	—	73	1	no	—
869	#391	—	73	1	no	—
870	#391	—	73	1	no	—
871	#391	—	73	1	no	—
872	#391	—	73	1	no	—
873	#391	—	73	1	no	—
874	#391	—	73	1	no	—
875	#391	—	73	1	no	—
876	#390	—	73	1	no	—
877	#390	—	73	1	no	—
878	#390	—	73	1	no	—
879	#389	—	73	1	no	—
880	#389	—	73	1	no	—
881	#389	—	73	1	no	—
882	#389	—	73	1	no	—
883	#389	—	73	1	no	—
884	#389	C₂×D₇₃	1	1	yes	characteristic, complemented
885	#388	—	73	1	no	—
886	#388	—	73	1	no	—
887	#388	—	73	1	no	—
888	#388	—	73	1	no	—
889	#388	—	73	1	no	—
890	#388	—	73	1	no	—
891	#388	—	73	1	no	—
892	#388	—	73	1	no	—
893	#388	—	73	1	no	—
894	#388	—	73	1	no	—
895	#388	—	73	1	no	—
896	#388	—	73	1	no	—
897	#388	—	73	1	no	—
898	#388	—	73	1	no	—
899	#388	—	73	1	no	—
900	#388	—	73	1	no	—
901	#388	—	73	1	no	—
902	#388	—	73	1	no	—
903	#388	—	73	1	no	—
904	#388	—	73	1	no	—
905	#388	—	73	1	no	—
906	#388	C₂×D₇₃	1	1	yes	characteristic
907	#388	C₂×D₇₃	1	1	yes	characteristic
908	#388	C₂×D₇₃	1	1	yes	characteristic, complemented
909	#387	—	73	1	no	—
910	#387	—	73	1	no	—
911	#387	—	73	1	no	—
912	#387	—	73	1	no	—
913	#387	—	73	1	no	—
914	#387	—	73	1	no	—
915	#387	—	73	1	no	—
916	#387	—	73	1	no	—
917	#387	—	73	1	no	—
918	#387	—	73	1	no	—
919	#387	—	73	1	no	—
920	#387	—	73	1	no	—
921	#386	—	73	1	no	—
922	#386	—	73	1	no	—
923	#386	—	73	1	no	—
924	#386	—	73	1	no	—
925	#386	—	73	1	no	—
926	#386	—	73	1	no	—
927	#386	—	73	1	no	—
928	#386	—	73	1	no	—
929	#386	—	73	1	no	—
930	#386	—	73	1	no	—
931	#386	—	73	1	no	—
932	#386	—	73	1	no	—
933	#385	—	73	1	no	—
934	#385	—	73	1	no	—
935	#385	—	73	1	no	—
936	#385	—	73	1	no	—
937	#385	—	73	1	no	—
938	#385	—	73	1	no	—
939	#385	C₂×D₇₃	1	1	yes	characteristic, complemented
940	#385	C₂×D₇₃	1	1	yes	characteristic, complemented
941	#384	C₂×D₇₃	1	1	yes	characteristic, complemented
942	#382	—	73	1	no	—
943	#380	—	73	1	no	—
944	#380	—	73	1	no	—
945	#380	—	73	1	no	—
946	#380	—	73	1	no	—
947	#380	—	73	1	no	—
948	#380	—	73	1	no	—
949	#379	—	73	1	no	—
950	#379	—	73	1	no	—
951	C₄×C₂²⋊C₄	—	73	1	no	—
952	C₄×C₂²⋊C₄	—	73	1	no	—
953	C₂×#95	—	73	1	no	—
954	C₂×#95	—	73	1	no	—
955	C₂⁵	—	73	1	no	—
956	C₂²×Q₈	—	73	1	no	—
957	C₂²×Q₈	—	73	1	no	—
958	C₂²×Q₈	—	73	1	no	—
959	C₂²×D₄	—	73	1	no	—
960	C₂²×D₄	—	73	1	no	—
961	C₂²×D₄	—	73	1	no	—
962	C₂²×D₄	—	73	1	no	—
963	C₂²×D₄	—	73	1	no	—
964	C₂²×D₄	—	73	1	no	—
965	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
966	C₂³×C₄	—	73	1	no	—
967	C₂³×C₄	—	73	1	no	—
968	C₂³×C₄	—	73	1	no	—
969	C₂³×C₄	—	73	1	no	—
970	C₂³×C₄	—	73	1	no	—
971	C₂³×C₄	—	73	1	no	—
972	C₂³×C₄	—	73	1	no	—
973	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
974	C₄⋊Q₈	—	292	2	no	—
975	#126	—	4	2	no	—
976	#126	—	292	2	no	—
977	#124	—	292	2	no	—
978	#124	—	292	2	no	—
979	#124	—	292	2	no	—
980	#123	—	4	2	no	—
981	#123	—	292	2	no	—
982	C₂²⋊Q₈	—	292	2	no	—
983	C₂²⋊Q₈	—	292	2	no	—
984	C₂²⋊Q₈	—	146	4	no	—
985	#121	—	146	4	no	—
986	#120	—	292	2	no	—
987	#120	—	292	2	no	—
988	C₄×D₄	—	292	2	no	—
989	C₄×D₄	—	292	2	no	—
990	C₂×C₄⋊C₄	—	292	2	no	—
991	C₂×C₄⋊C₄	—	73	1	no	—
992	C₂×C₄⋊C₄	—	73	1	no	—
993	C₂×C₄⋊C₄	—	73	1	no	—
994	C₂×C₄⋊C₄	—	73	1	no	—
995	C₂×C₄⋊C₄	—	73	1	no	—
996	C₂×C₄⋊C₄	—	73	1	no	—
997	C₂×C₄⋊C₄	—	73	1	no	—
998	C₂×C₄⋊C₄	—	73	1	no	—
999	C₂×C₄⋊C₄	—	73	1	no	—
1000	C₂×C₄⋊C₄	—	73	1	no	—
1001	C₂×C₄⋊C₄	—	73	1	no	—
1002	C₂×C₄⋊C₄	—	73	1	no	—
1003	C₂×C₄⋊C₄	—	73	1	no	—
1004	C₂×C₄⋊C₄	—	73	1	no	—
1005	C₂×C₄⋊C₄	—	73	1	no	—
1006	C₂×C₄⋊C₄	—	73	1	no	—
1007	C₂×C₄⋊C₄	—	73	1	no	—
1008	C₂×C₄⋊C₄	—	73	1	no	—
1009	C₂×C₄⋊C₄	—	73	1	no	—
1010	C₂×C₄⋊C₄	—	73	1	no	—
1011	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	—	292	2	no	—
1024	C₂×C₂²⋊C₄	—	292	2	no	—
1025	C₂×C₂²⋊C₄	—	73	1	no	—
1026	C₂×C₂²⋊C₄	—	73	1	no	—
1027	C₂×C₂²⋊C₄	—	73	1	no	—
1028	C₂×C₂²⋊C₄	—	73	1	no	—
1029	C₂×C₂²⋊C₄	—	73	1	no	—
1030	C₂×C₂²⋊C₄	—	73	1	no	—
1031	C₂×C₂²⋊C₄	—	73	1	no	—
1032	C₂×C₂²⋊C₄	—	73	1	no	—
1033	C₂×C₂²⋊C₄	—	73	1	no	—
1034	C₂×C₂²⋊C₄	—	73	1	no	—
1035	C₂×C₂²⋊C₄	—	73	1	no	—
1036	C₂×C₂²⋊C₄	—	73	1	no	—
1037	C₂×C₂²⋊C₄	—	73	1	no	—
1038	C₂×C₂²⋊C₄	—	73	1	no	—
1039	C₂×C₂²⋊C₄	—	73	1	no	—
1040	C₂×C₂²⋊C₄	—	73	1	no	—
1041	C₂×C₂²⋊C₄	—	73	1	no	—
1042	C₂×C₂²⋊C₄	—	73	1	no	—
1043	C₂×C₂²⋊C₄	—	73	1	no	—
1044	C₂×C₂²⋊C₄	—	73	1	no	—
1045	C₂×C₂²⋊C₄	—	73	1	no	—
1046	C₂×C₂²⋊C₄	—	73	1	no	—
1047	C₂×C₂²⋊C₄	—	73	1	no	—
1048	C₂×C₂²⋊C₄	—	73	1	no	—
1049	C₂×C₂²⋊C₄	—	73	1	no	—
1050	C₂×C₂²⋊C₄	—	73	1	no	—
1051	C₂×C₂²⋊C₄	—	73	1	no	—
1052	C₂×C₂²⋊C₄	—	73	1	no	—
1053	C₂×C₂²⋊C₄	—	73	1	no	—
1054	C₂×C₂²⋊C₄	—	73	1	no	—
1055	C₂×C₂²⋊C₄	—	73	1	no	—
1056	C₂×C₂²⋊C₄	—	73	1	no	—
1057	C₂×C₂²⋊C₄	—	73	1	no	—
1058	C₂×C₂²⋊C₄	—	73	1	no	—
1059	C₂×C₂²⋊C₄	—	73	1	no	—
1060	C₂×C₂²⋊C₄	—	73	1	no	—
1061	C₂×C₂²⋊C₄	—	73	1	no	—
1062	C₂×C₂²⋊C₄	—	73	1	no	—
1063	C₂×C₂²⋊C₄	—	73	1	no	—
1064	C₂×C₂²⋊C₄	—	146	4	no	—
1065	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1076	C₂×C₄²	—	292	2	no	—
1077	C₂×C₄²	—	73	1	no	—
1078	C₂×C₄²	—	73	1	no	—
1079	C₂×C₄²	—	73	1	no	—
1080	C₂×C₄²	—	73	1	no	—
1081	C₂×C₄²	—	73	1	no	—
1082	C₂×C₄²	—	73	1	no	—
1083	C₂×C₄²	—	73	1	no	—
1084	C₂×C₄²	—	73	1	no	—
1085	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1086	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1087	#95	—	73	1	no	—
1088	#95	—	73	1	no	—
1089	#95	—	73	1	no	—
1090	#95	—	73	1	no	—
1091	#95	—	73	1	no	—
1092	#95	—	73	1	no	—
1093	#95	—	73	1	no	—
1094	#95	—	73	1	no	—
1095	#95	—	73	1	no	—
1096	#95	—	73	1	no	—
1097	#95	—	73	1	no	—
1098	#95	—	73	1	no	—
1099	#95	—	73	1	no	—
1100	#95	—	73	1	no	—
1101	#95	—	73	1	no	—
1102	#95	—	73	1	no	—
1103	#95	—	73	1	no	—
1104	#95	—	73	1	no	—
1105	#95	—	73	1	no	—
1106	#95	—	73	1	no	—
1107	#95	—	73	1	no	—
1108	#95	—	73	1	no	—
1109	#95	—	73	1	no	—
1110	#95	—	73	1	no	—
1111	#95	—	73	1	no	—
1112	#95	—	73	1	no	—
1113	#95	—	73	1	no	—
1114	#95	—	73	1	no	—
1115	#95	—	73	1	no	—
1116	#95	—	73	1	no	—
1117	#95	—	73	1	no	—
1118	#95	—	73	1	no	—
1119	#95	—	73	1	no	—
1120	#95	—	73	1	no	—
1121	#95	—	73	1	no	—
1122	#95	—	73	1	no	—
1123	#95	C₂²×D₇₃	1	1	yes	characteristic
1124	#95	C₂²×D₇₃	1	1	yes	characteristic
1125	#95	C₂²×D₇₃	1	1	yes	characteristic
1126	#95	C₂²×D₇₃	1	1	yes	characteristic
1127	#95	C₂²×D₇₃	1	1	yes	characteristic
1128	#95	C₂²×D₇₃	1	1	yes	characteristic
1129	#95	C₂²×D₇₃	1	1	yes	characteristic
1130	#95	C₂²×D₇₃	1	1	yes	characteristic
1131	C₂⁴	—	292	1	no	—
1132	C₂⁴	—	292	1	no	—
1133	C₂⁴	—	292	1	no	—
1134	C₂⁴	—	292	1	no	—
1135	C₂⁴	—	73	1	no	—
1136	C₂⁴	—	73	1	no	—
1137	C₂⁴	—	73	1	no	—
1138	C₂⁴	—	146	2	no	—
1139	C₂⁴	—	146	2	no	—
1140	C₂⁴	—	146	2	no	—
1141	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1142	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1143	C₂×Q₈	—	292	1	no	—
1144	C₂×Q₈	—	292	1	no	—
1145	C₂×Q₈	—	292	1	no	—
1146	C₂×Q₈	—	292	1	no	—
1147	C₂×Q₈	—	292	1	no	—
1148	C₂×Q₈	—	292	1	no	—
1149	C₂×Q₈	—	146	2	no	—
1150	C₂×Q₈	—	146	2	no	—
1151	C₂×Q₈	—	146	2	no	—
1152	C₂×D₄	—	4	1	no	—
1153	C₂×D₄	—	4	1	no	—
1154	C₂×D₄	—	4	1	no	—
1155	C₂×D₄	—	292	1	no	—
1156	C₂×D₄	—	292	1	no	—
1157	C₂×D₄	—	292	1	no	—
1158	C₂×D₄	—	292	1	no	—
1159	C₂×D₄	—	292	1	no	—
1160	C₂×D₄	—	292	1	no	—
1161	C₂×D₄	—	292	1	no	—
1162	C₂×D₄	—	292	1	no	—
1163	C₂×D₄	—	292	1	no	—
1164	C₂×D₄	—	292	1	no	—
1165	C₂×D₄	—	292	1	no	—
1166	C₂×D₄	—	146	2	no	—
1167	C₂×D₄	—	146	2	no	—
1168	C₂×D₄	—	146	2	no	—
1169	C₂×D₄	—	146	2	no	—
1170	C₂×D₄	—	146	2	no	—
1171	C₂×D₄	—	146	2	no	—
1172	C₂×D₄	—	146	2	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	292	1	no	—
1177	C₂²×C₄	—	292	1	no	—
1178	C₂²×C₄	—	292	1	no	—
1179	C₂²×C₄	—	292	1	no	—
1180	C₂²×C₄	—	292	1	no	—
1181	C₂²×C₄	—	292	1	no	—
1182	C₂²×C₄	—	292	1	no	—
1183	C₂²×C₄	—	292	1	no	—
1184	C₂²×C₄	—	292	1	no	—
1185	C₂²×C₄	—	292	1	no	—
1186	C₂²×C₄	—	292	1	no	—
1187	C₂²×C₄	—	292	1	no	—
1188	C₂²×C₄	—	292	1	no	—
1189	C₂²×C₄	—	73	4	no	—
1190	C₂²×C₄	—	73	1	no	—
1191	C₂²×C₄	—	73	1	no	—
1192	C₂²×C₄	—	73	1	no	—
1193	C₂²×C₄	—	73	1	no	—
1194	C₂²×C₄	—	73	1	no	—
1195	C₂²×C₄	—	73	1	no	—
1196	C₂²×C₄	—	73	1	no	—
1197	C₂²×C₄	—	73	1	no	—
1198	C₂²×C₄	—	73	1	no	—
1199	C₂²×C₄	—	73	1	no	—
1200	C₂²×C₄	—	73	1	no	—
1201	C₂²×C₄	—	73	1	no	—
1202	C₂²×C₄	—	73	1	no	—
1203	C₂²×C₄	—	146	2	no	—
1204	C₂²×C₄	—	146	2	no	—
1205	C₂²×C₄	—	146	2	no	—
1206	C₂²×C₄	—	146	2	no	—
1207	C₂²×C₄	—	146	2	no	—
1208	C₂²×C₄	—	146	2	no	—
1209	C₂²×C₄	—	146	2	no	—
1210	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1223	C₄⋊C₄	—	2	2	no	—
1224	C₄⋊C₄	—	2	2	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	4	1	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	—	4	1	no	—
1233	C₄⋊C₄	—	4	1	no	—
1234	C₄⋊C₄	—	4	1	no	—
1235	C₄⋊C₄	—	292	1	no	—
1236	C₄⋊C₄	—	292	1	no	—
1237	C₄⋊C₄	—	292	1	no	—
1238	C₄⋊C₄	—	292	1	no	—
1239	C₄⋊C₄	—	292	1	no	—
1240	C₄⋊C₄	—	292	1	no	—
1241	C₄⋊C₄	—	292	1	no	—
1242	C₄⋊C₄	—	292	1	no	—
1243	C₄⋊C₄	—	292	1	no	—
1244	C₄⋊C₄	—	292	1	no	—
1245	C₄⋊C₄	—	292	1	no	—
1246	C₄⋊C₄	—	292	1	no	—
1247	C₄⋊C₄	—	292	1	no	—
1248	C₄⋊C₄	—	292	1	no	—
1249	C₄⋊C₄	—	292	1	no	—
1250	C₄⋊C₄	—	292	1	no	—
1251	C₄⋊C₄	—	146	2	no	—
1252	C₄⋊C₄	—	146	2	no	—
1253	C₄⋊C₄	—	146	2	no	—
1254	C₄⋊C₄	—	146	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	292	1	no	—
1267	C₂²⋊C₄	—	292	1	no	—
1268	C₂²⋊C₄	—	292	1	no	—
1269	C₂²⋊C₄	—	292	1	no	—
1270	C₂²⋊C₄	—	292	1	no	—
1271	C₂²⋊C₄	—	292	1	no	—
1272	C₂²⋊C₄	—	292	1	no	—
1273	C₂²⋊C₄	—	292	1	no	—
1274	C₂²⋊C₄	—	292	1	no	—
1275	C₂²⋊C₄	—	292	1	no	—
1276	C₂²⋊C₄	—	292	1	no	—
1277	C₂²⋊C₄	—	292	1	no	—
1278	C₂²⋊C₄	—	292	1	no	—
1279	C₂²⋊C₄	—	292	1	no	—
1280	C₂²⋊C₄	—	292	1	no	—
1281	C₂²⋊C₄	—	292	1	no	—
1282	C₂²⋊C₄	—	292	1	no	—
1283	C₂²⋊C₄	—	292	1	no	—
1284	C₂²⋊C₄	—	292	1	no	—
1285	C₂²⋊C₄	—	292	1	no	—
1286	C₂²⋊C₄	—	292	1	no	—
1287	C₂²⋊C₄	—	292	1	no	—
1288	C₂²⋊C₄	—	292	1	no	—
1289	C₂²⋊C₄	—	292	1	no	—
1290	C₂²⋊C₄	—	292	1	no	—
1291	C₂²⋊C₄	—	146	2	no	—
1292	C₂²⋊C₄	—	146	2	no	—
1293	C₂²⋊C₄	—	146	2	no	—
1294	C₂²⋊C₄	—	146	2	no	—
1295	C₂²⋊C₄	—	146	2	no	—
1296	C₂²⋊C₄	—	146	2	no	—
1297	C₂²⋊C₄	—	146	2	no	—
1298	C₂²⋊C₄	—	146	2	no	—
1299	C₂²⋊C₄	—	146	2	no	—
1300	C₂²⋊C₄	—	146	2	no	—
1301	C₂²⋊C₄	—	146	2	no	—
1302	C₂²⋊C₄	—	146	2	no	—
1303	C₂²⋊C₄	—	146	2	no	—
1304	C₂²⋊C₄	—	146	2	no	—
1305	C₄²	—	2	2	no	—
1306	C₄²	—	4	1	no	—
1307	C₄²	—	292	1	no	—
1308	C₄²	—	292	1	no	—
1309	C₄²	—	292	1	no	—
1310	C₄²	—	292	1	no	—
1311	C₄²	—	292	1	no	—
1312	C₄²	—	292	1	no	—
1313	C₄²	—	292	1	no	—
1314	C₄²	—	146	2	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	292	4	no	—
1330	C₂³	—	292	4	no	—
1331	C₂³	—	292	4	no	—
1332	C₂³	—	584	2	no	—
1333	C₂³	—	584	2	no	—
1334	C₂³	—	584	2	no	—
1335	C₂³	—	584	2	no	—
1336	C₂³	—	73	2	no	—
1337	C₂³	—	73	2	no	—
1338	C₂³	—	73	2	no	—
1339	C₂³	—	146	1	no	—
1340	C₂³	—	146	1	no	—
1341	C₂³	—	146	1	no	—
1342	C₂³	—	146	1	no	—
1343	C₂³	—	146	1	no	—
1344	C₂³	—	146	1	no	—
1345	C₂³	—	146	1	no	—
1346	C₂³	—	146	1	no	—
1347	C₂³	—	146	1	no	—
1348	C₂³	—	146	1	no	—
1349	C₂³	—	146	1	no	—
1350	C₂³	—	146	1	no	—
1351	C₂³	—	146	1	no	—
1352	C₂³	—	146	1	no	—
1353	C₂³	—	146	1	no	—
1354	C₂³	—	146	1	no	—
1355	C₂³	—	146	1	no	—
1356	C₂³	—	146	1	no	—
1357	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1358	Q₈	—	584	2	no	—
1359	Q₈	—	584	2	no	—
1360	Q₈	—	584	2	no	—
1361	D₄	—	8	2	no	—
1362	D₄	—	292	4	no	—
1363	D₄	—	292	4	no	—
1364	D₄	—	584	2	no	—
1365	D₄	—	584	2	no	—
1366	D₄	—	584	2	no	—
1367	D₄	—	584	2	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	8	2	no	—
1405	C₂×C₄	—	292	4	no	—
1406	C₂×C₄	—	292	4	no	—
1407	C₂×C₄	—	292	4	no	—
1408	C₂×C₄	—	292	4	no	—
1409	C₂×C₄	—	584	2	no	—
1410	C₂×C₄	—	584	2	no	—
1411	C₂×C₄	—	584	2	no	—
1412	C₂×C₄	—	73	2	no	—
1413	C₂×C₄	—	146	1	no	—
1414	C₂×C₄	—	146	1	no	—
1415	C₂×C₄	—	146	1	no	—
1416	C₂×C₄	—	146	1	no	—
1417	C₂×C₄	—	146	1	no	—
1418	C₂×C₄	—	146	1	no	—
1419	C₂×C₄	—	146	1	no	—
1420	C₂×C₄	—	146	1	no	—
1421	C₂×C₄	—	146	1	no	—
1422	C₂×C₄	—	146	1	no	—
1423	C₂×C₄	—	146	1	no	—
1424	C₂×C₄	—	146	1	no	—
1425	C₂×C₄	—	146	1	no	—
1426	C₂×C₄	—	146	1	no	—
1427	C₂×C₄	—	146	1	no	—
1428	C₂×C₄	—	146	1	no	—
1429	C₂×C₄	—	146	1	no	—
1430	C₂×C₄	—	146	1	no	—
1431	C₂×C₄	—	146	1	no	—
1432	C₂×C₄	—	146	1	no	—
1433	C₂×C₄	—	146	1	no	—
1434	C₂×C₄	—	146	1	no	—
1435	C₂×C₄	—	146	1	no	—
1436	C₂×C₄	—	146	1	no	—
1437	C₂×C₄	—	146	1	no	—
1438	C₂×C₄	—	146	1	no	—
1439	C₂×C₄	—	146	1	no	—
1440	C₂×C₄	—	146	1	no	—
1441	C₂×C₄	—	146	1	no	—
1442	C₂×C₄	—	146	1	no	—
1443	C₂×C₄	—	146	1	no	—
1444	C₂×C₄	—	146	1	no	—
1445	C₂×C₄	—	146	1	no	—
1446	C₂×C₄	—	146	1	no	—
1447	C₂×C₄	—	146	1	no	—
1448	C₂×C₄	—	146	1	no	—
1449	C₂×C₄	—	146	1	no	—
1450	C₂×C₄	—	146	1	no	—
1451	C₂×C₄	#41×D₇₃	1	2	yes	—
1452	C₂×C₄	#14556636	1	2	yes	—
1453	C₂×C₄	#14556637	1	2	yes	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	292	1	no	—
1469	C₂²	—	292	1	no	—
1470	C₂²	—	292	1	no	—
1471	C₂²	—	292	1	no	—
1472	C₂²	—	292	1	no	—
1473	C₂²	—	292	1	no	—
1474	C₂²	—	292	1	no	—
1475	C₂²	—	292	1	no	—
1476	C₂²	—	292	1	no	—
1477	C₂²	—	292	1	no	—
1478	C₂²	—	292	1	no	—
1479	C₂²	—	292	1	no	—
1480	C₂²	—	292	1	no	—
1481	C₂²	—	292	1	no	—
1482	C₂²	—	584	8	no	—
1483	C₂²	—	73	4	no	—
1484	C₂²	—	146	2	no	—
1485	C₂²	—	146	2	no	—
1486	C₂²	—	146	2	no	—
1487	C₂²	—	146	2	no	—
1488	C₂²	—	146	2	no	—
1489	C₂²	—	146	2	no	—
1490	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1491	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1492	C₂²	C₂×#14556636	1	1	yes	characteristic
1493	C₂²	C₂×#14556637	1	1	yes	characteristic
1494	C₂²	2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1495	C₂²	#17989422	1	1	yes	characteristic
1496	C₂²	#17989424	1	1	yes	characteristic
1497	C₄	—	2	2	no	—
1498	C₄	—	2	2	no	—
1499	C₄	—	2	2	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	292	1	no	—
1511	C₄	—	292	1	no	—
1512	C₄	—	292	1	no	—
1513	C₄	—	292	1	no	—
1514	C₄	—	292	1	no	—
1515	C₄	—	292	1	no	—
1516	C₄	—	292	1	no	—
1517	C₄	—	292	1	no	—
1518	C₄	—	292	1	no	—
1519	C₄	—	292	1	no	—
1520	C₄	—	292	1	no	—
1521	C₄	—	292	1	no	—
1522	C₄	—	146	2	no	—
1523	C₂	—	8	1	no	—
1524	C₂	—	8	1	no	—
1525	C₂	—	584	1	no	—
1526	C₂	—	584	1	no	—
1527	C₂	—	146	4	no	—
1528	C₂	#542×D₇₃	1	1	yes	characteristic
1529	C₂	#22623760	1	1	yes	characteristic
1530	C₂	#22623781	1	1	yes	characteristic
1531	C₂	#22624119	1	1	yes	characteristic
1532	C₂	#22624154	1	1	yes	characteristic
1533	C₂	#22624449	1	1	yes	characteristic
1534	C₂	#22624546	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Fitting	C₇₃×#2718	C₂
prime radical	#22615670	C₂
hypercenter	#2718	D₇₃
hypocenter	C₇₃	#36765
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2718

Complements

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

N	H ≅ G/N	type
1. #22618284	C₂	semidirect
2. #22618229	C₂	semidirect
3. #22617833	C₂	semidirect
4. #22617821	C₂	semidirect
5. #22617808	C₂	semidirect
6. #22617796	C₂	semidirect
7. #22617566	C₂	semidirect
8. #22617564	C₂	semidirect
9. #22617229	C₂	semidirect
10. #22617221	C₂	semidirect
11. #22616942	C₂	semidirect
12. #22616942	C₂	semidirect
13. #22616776	C₂	semidirect
14. #22616704	C₂	semidirect
15. #22616699	C₂	semidirect
16. #22616600	C₂	semidirect
17. #22616598	C₂	semidirect
18. #22615741	C₂	semidirect
20. #22614195	C₂	semidirect
21. #22614188	C₂	semidirect
22. #22614058	C₂	semidirect
23. #22614055	C₂	semidirect
24. #22613760	C₂	semidirect
25. #22613756	C₂	semidirect
26. #22613396	C₂	semidirect
27. #22613390	C₂	semidirect
28. #22612665	C₂	semidirect
29. #22612628	C₂	semidirect
30. #388×D₇₃	C₂	semidirect
31. C₇₃×#2718	C₂	semidirect
32. C₂×#14556591	C₂²	semidirect
33. C₂×#14556586	C₂²	semidirect
36. C₂×#14556577	C₂²	semidirect
51. #17988529	C₂²	semidirect
52. #17988527	C₂²	semidirect
53. #17988526	C₂²	semidirect
54. #17988526	C₂²	semidirect
55. #17988525	C₂²	semidirect
59. #17988520	C₂²	semidirect
61. #17988516	C₂²	semidirect
67. #17988512	C₂²	semidirect
69. #17988510	C₂²	semidirect
70. #17988510	C₂²	semidirect
73. #17988509	C₂²	semidirect
74. #17988509	C₂²	semidirect
87. #17988500	C₂²	semidirect
90. #17988499	C₂²	semidirect
93. #17988492	C₂²	semidirect
94. #17988492	C₂²	semidirect
95. #17988492	C₂²	semidirect
96. #17988491	C₂²	semidirect
97. #17988491	C₂²	semidirect
98. #17988491	C₂²	semidirect
99. #17988491	C₂²	semidirect
102. #17988487	C₂²	semidirect
103. #17988486	C₂²	semidirect
104. #17988486	C₂²	semidirect
105. #17988486	C₂²	semidirect
106. #17988486	C₂²	semidirect
107. #17988482	C₂²	semidirect
109. #17988481	C₂²	semidirect
110. #17988481	C₂²	semidirect
114. #17988480	C₂²	semidirect
118. #17988479	C₂²	semidirect
119. #17988479	C₂²	semidirect
121. #17988478	C₂²	semidirect
125. #17988477	C₂²	semidirect
129. #17988474	C₂²	semidirect
130. #17988474	C₂²	semidirect
131. #17988474	C₂²	semidirect
132. #17988474	C₂²	semidirect
133. #17988473	C₂²	semidirect
134. #17988473	C₂²	semidirect
135. #17988473	C₂²	semidirect
136. #17988471	C₂²	semidirect
137. #17988471	C₂²	semidirect
138. #17988469	C₂²	semidirect
139. #17988468	C₂²	semidirect
140. #17988468	C₂²	semidirect
142. #17988466	C₂²	semidirect
152. #17988463	C₂²	semidirect
157. #17988458	C₂²	semidirect
158. #17988458	C₂²	semidirect
159. #17988451	C₂²	semidirect
160. #17988447	C₂²	semidirect
165. #17988444	C₂²	semidirect
172. C₂×#126×C₇₃	C₂²	semidirect
174. #400×C₇₃	C₂²	semidirect
176. #398×C₇₃	C₂²	semidirect
180. #389×C₇₃	C₂²	semidirect
183. #388×C₇₃	C₂²	semidirect
184. #385×C₇₃	C₂²	semidirect
185. #385×C₇₃	C₂²	semidirect
186. #384×C₇₃	C₂²	semidirect
781. #2718	D₇₃	semidirect
799. C₇₃	#36765	semidirect
802. C₂×#126	C₂×D₇₃	semidirect
826. #400	C₂×D₇₃	semidirect
832. #398	C₂×D₇₃	semidirect
884. #389	C₂×D₇₃	semidirect
908. #388	C₂×D₇₃	semidirect
939. #385	C₂×D₇₃	semidirect
940. #385	C₂×D₇₃	semidirect
941. #384	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22618284	2
#22618229	2
#22617833	2
#22617821	2
#22617808	2
#22617796	2
#22617566	2
#22617564	2
#22617229	2
#22617221	2
#22616942	2
#22616776	2
#22616704	2
#22616699	2
#22616600	2
#22616598	2
#22615741	2
#22615670	2
#22614195	2
#22614188	2
#22614058	2
#22614055	2
#22613760	2
#22613756	2
#22613396	2
#22613390	2
#22612665	2
#22612628	2
#388×D₇₃	2
C₇₃×#2718	2
#36765	73