Subgroups — #33294372

Order 18688.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618222	C₂	1	1	yes	maximal, characteristic
2	#22618215	C₂	1	1	yes	maximal, characteristic, complemented
3	#22617703	C₂	1	1	yes	maximal, characteristic, complemented
4	#22617568	C₂	1	1	yes	maximal, characteristic, complemented
5	#22617433	C₂	1	1	yes	maximal, characteristic, complemented
6	#22617359	C₂	1	1	yes	maximal, characteristic, complemented
7	#22617351	C₂	1	1	yes	maximal, characteristic, complemented
8	#22617348	C₂	1	1	yes	maximal, characteristic, complemented
9	#22617268	C₂	1	1	yes	maximal, characteristic, complemented
10	#22617119	C₂	1	1	yes	maximal, characteristic, complemented
11	#22617011	C₂	1	1	yes	maximal, characteristic, complemented
12	#22616909	C₂	1	1	yes	maximal, characteristic, complemented
13	#22616774	C₂	1	1	yes	maximal, characteristic, complemented
14	#22616767	C₂	1	1	yes	maximal, characteristic, complemented
15	#22616512	C₂	1	1	yes	maximal, characteristic, complemented
16	#22616348	C₂	1	1	yes	maximal, characteristic, complemented
17	#22616211	C₂	1	1	yes	maximal, characteristic, complemented
18	#22615749	C₂	1	1	yes	maximal, characteristic, complemented
19	#22615716	C₂	1	1	yes	maximal, characteristic, complemented
20	#22615085	C₂	1	1	yes	maximal, characteristic, complemented
21	#22614819	C₂	1	1	yes	maximal, characteristic
22	#22614315	C₂	1	1	yes	maximal, characteristic, complemented
23	#22614250	C₂	1	1	yes	maximal, characteristic, complemented
24	#22614180	C₂	1	1	yes	maximal, characteristic, complemented
25	#22614063	C₂	1	1	yes	maximal, characteristic
26	#22613626	C₂	1	1	yes	maximal, characteristic, complemented
27	#22613378	C₂	1	1	yes	maximal, characteristic, complemented
28	#22612663	C₂	1	1	yes	maximal, characteristic, complemented
29	#22612566	C₂	1	1	yes	maximal, characteristic, complemented
30	#385×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#2692	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic
33	C₂×#14556589	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14556586	C₂²	1	1	yes	characteristic
35	C₂×#14556577	C₂²	1	1	yes	characteristic
36	C₂×#14556573	C₂²	1	1	yes	characteristic
37	C₂×#14556573	C₂²	1	1	yes	characteristic
38	C₂×#14556573	C₂²	1	1	yes	characteristic
39	C₂×#14556569	C₂²	1	1	yes	characteristic
40	C₂×#14556567	C₂²	1	1	yes	characteristic
41	C₂×#14556567	C₂²	1	1	yes	characteristic
42	C₂×#14556567	C₂²	1	1	yes	characteristic
43	C₂×#14556559	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×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	C₇₃⋊#401	C₂²	1	1	yes	characteristic, complemented
50	#17988529	C₂²	1	1	yes	characteristic, complemented
51	#17988529	C₂²	1	1	yes	characteristic, complemented
52	#17988529	C₂²	1	1	yes	characteristic, complemented
53	#17988528	C₂²	1	1	yes	characteristic, complemented
54	#17988527	C₂²	1	1	yes	characteristic, complemented
55	#17988527	C₂²	1	1	yes	characteristic, complemented
56	#17988527	C₂²	1	1	yes	characteristic, complemented
57	#17988525	C₂²	1	1	yes	characteristic, complemented
58	#17988525	C₂²	1	1	yes	characteristic, complemented
59	#17988523	C₂²	1	1	yes	characteristic, complemented
60	#17988521	C₂²	1	1	yes	characteristic, complemented
61	#17988520	C₂²	1	1	yes	characteristic, complemented
62	#17988520	C₂²	1	1	yes	characteristic, complemented
63	#17988520	C₂²	1	1	yes	characteristic, complemented
64	#17988520	C₂²	1	1	yes	characteristic, complemented
65	#17988520	C₂²	1	1	yes	characteristic, complemented
66	#17988518	C₂²	1	1	yes	characteristic, complemented
67	#17988518	C₂²	1	1	yes	characteristic, complemented
68	#17988517	C₂²	1	1	yes	characteristic, complemented
69	#17988516	C₂²	1	1	yes	characteristic
70	#17988515	C₂²	1	1	yes	characteristic, complemented
71	#17988515	C₂²	1	1	yes	characteristic, complemented
72	#17988515	C₂²	1	1	yes	characteristic, complemented
73	#17988514	C₂²	1	1	yes	characteristic
74	#17988513	C₂²	1	1	yes	characteristic
75	#17988513	C₂²	1	1	yes	characteristic
76	#17988512	C₂²	1	1	yes	characteristic
77	#17988512	C₂²	1	1	yes	characteristic
78	#17988511	C₂²	1	1	yes	characteristic
79	#17988510	C₂²	1	1	yes	characteristic
80	#17988510	C₂²	1	1	yes	characteristic, complemented
81	#17988510	C₂²	1	1	yes	characteristic, complemented
82	#17988508	C₂²	1	1	yes	characteristic, complemented
83	#17988508	C₂²	1	1	yes	characteristic, complemented
84	#17988507	C₂²	1	1	yes	characteristic, complemented
85	#17988502	C₂²	1	1	yes	characteristic
86	#17988502	C₂²	1	1	yes	characteristic
87	#17988501	C₂²	1	1	yes	characteristic
88	#17988501	C₂²	1	1	yes	characteristic
89	#17988499	C₂²	1	1	yes	characteristic
90	#17988498	C₂²	1	1	yes	characteristic
91	#17988494	C₂²	1	1	yes	characteristic, complemented
92	#17988494	C₂²	1	1	yes	characteristic, complemented
93	#17988494	C₂²	1	1	yes	characteristic, complemented
94	#17988486	C₂²	1	1	yes	characteristic, complemented
95	#17988484	C₂²	1	1	yes	characteristic, complemented
96	#17988484	C₂²	1	1	yes	characteristic, complemented
97	#17988482	C₂²	1	1	yes	characteristic, complemented
98	#17988482	C₂²	1	1	yes	characteristic, complemented
99	#17988481	C₂²	1	1	yes	characteristic
100	#17988481	C₂²	1	1	yes	characteristic, complemented
101	#17988481	C₂²	1	1	yes	characteristic, complemented
102	#17988481	C₂²	1	1	yes	characteristic, complemented
103	#17988480	C₂²	1	1	yes	characteristic, complemented
104	#17988479	C₂²	1	1	yes	characteristic
105	#17988478	C₂²	1	1	yes	characteristic
106	#17988477	C₂²	1	1	yes	characteristic
107	#17988476	C₂²	1	1	yes	characteristic
108	#17988476	C₂²	1	1	yes	characteristic
109	#17988475	C₂²	1	1	yes	characteristic
110	#17988475	C₂²	1	1	yes	characteristic
111	#17988475	C₂²	1	1	yes	characteristic
112	#17988475	C₂²	1	1	yes	characteristic
113	#17988475	C₂²	1	1	yes	characteristic
114	#17988474	C₂²	1	1	yes	characteristic, complemented
115	#17988473	C₂²	1	1	yes	characteristic, complemented
116	#17988472	C₂²	1	1	yes	characteristic, complemented
117	#17988471	C₂²	1	1	yes	characteristic, complemented
118	#17988470	C₂²	1	1	yes	characteristic, complemented
119	#17988469	C₂²	1	1	yes	characteristic, complemented
120	#17988468	C₂²	1	1	yes	characteristic, complemented
121	#17988468	C₂²	1	1	yes	characteristic, complemented
122	#17988467	C₂²	1	1	yes	characteristic
123	#17988466	C₂²	1	1	yes	characteristic
124	#17988463	C₂²	1	1	yes	characteristic
125	#17988463	C₂²	1	1	yes	characteristic
126	#17988463	C₂²	1	1	yes	characteristic
127	#17988463	C₂²	1	1	yes	characteristic
128	#17988462	C₂²	1	1	yes	characteristic
129	#17988462	C₂²	1	1	yes	characteristic
130	#17988461	C₂²	1	1	yes	characteristic
131	#17988461	C₂²	1	1	yes	characteristic
132	#17988461	C₂²	1	1	yes	characteristic
133	#17988461	C₂²	1	1	yes	characteristic
134	#17988460	C₂²	1	1	yes	characteristic
135	#17988460	C₂²	1	1	yes	characteristic
136	#17988459	C₂²	1	1	yes	characteristic
137	#17988459	C₂²	1	1	yes	characteristic
138	#17988459	C₂²	1	1	yes	characteristic
139	#17988458	C₂²	1	1	yes	characteristic
140	#17988458	C₂²	1	1	yes	characteristic
141	#17988458	C₂²	1	1	yes	characteristic
142	#17988458	C₂²	1	1	yes	characteristic
143	#17988458	C₂²	1	1	yes	characteristic
144	#17988458	C₂²	1	1	yes	characteristic
145	#17988458	C₂²	1	1	yes	characteristic
146	#17988458	C₂²	1	1	yes	characteristic
147	#17988456	C₂²	1	1	yes	characteristic, complemented
148	#17988455	C₂²	1	1	yes	characteristic, complemented
149	#17988454	C₂²	1	1	yes	characteristic, complemented
150	#17988451	C₂²	1	1	yes	characteristic, complemented
151	#17988451	C₂²	1	1	yes	characteristic, complemented
152	#17988450	C₂²	1	1	yes	characteristic, complemented
153	#17988449	C₂²	1	1	yes	characteristic
154	#17988449	C₂²	1	1	yes	characteristic
155	#17988449	C₂²	1	1	yes	characteristic
156	#17988449	C₂²	1	1	yes	characteristic
157	#17988449	C₂²	1	1	yes	characteristic
158	#17988447	C₂²	1	1	yes	characteristic
159	#17988447	C₂²	1	1	yes	characteristic, complemented
160	#17988446	C₂²	1	1	yes	characteristic
161	#17988444	C₂²	1	1	yes	characteristic
162	#17988444	C₂²	1	1	yes	characteristic
163	#17988444	C₂²	1	1	yes	characteristic
164	#17988442	C₂²	1	1	yes	characteristic
165	#17988442	C₂²	1	1	yes	characteristic
166	#17988442	C₂²	1	1	yes	characteristic
167	C₄×#11924005	C₂²	1	1	yes	characteristic
168	#17988434	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×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
174	#399×C₇₃	C₂²	1	1	yes	characteristic, complemented
175	#398×C₇₃	C₂²	1	1	yes	characteristic, complemented
176	#396×C₇₃	C₂²	1	1	yes	characteristic
177	#395×C₇₃	C₂²	1	1	yes	characteristic, complemented
178	#393×C₇₃	C₂²	1	1	yes	characteristic
179	#393×C₇₃	C₂²	1	1	yes	characteristic, complemented
180	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
181	#390×C₇₃	C₂²	1	1	yes	characteristic
182	#387×C₇₃	C₂²	1	1	yes	characteristic, complemented
183	#386×C₇₃	C₂²	1	1	yes	characteristic
184	#386×C₇₃	C₂²	1	1	yes	characteristic
185	#385×C₇₃	C₂²	1	1	yes	characteristic
186	#380×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×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇₃	—	4	2	no	—
193	C₂²×C₄×D₇₃	—	4	2	no	—
194	C₂²×C₄×D₇₃	—	4	2	no	—
195	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×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	#14556589	—	4	2	no	—
204	#14556586	—	4	2	no	—
205	#14556577	—	4	2	no	—
206	#14556573	—	4	2	no	—
207	#14556573	—	4	2	no	—
208	#14556573	—	4	2	no	—
209	#14556569	—	4	2	no	—
210	#14556567	—	2	4	no	—
211	#14556567	—	4	2	no	—
212	#14556567	—	4	2	no	—
213	#14556559	—	4	2	no	—
214	C₄×C₂²⋊D₇₃	—	2	4	no	—
215	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
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×#11924007	C₂³	1	1	yes	characteristic
225	C₂×#11924007	C₂³	1	1	yes	characteristic
226	C₂×#11924007	C₂³	1	1	yes	characteristic
227	C₂×#11924007	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	C₂×#11924007	C₂³	1	1	yes	characteristic
239	C₂×#11924007	C₂³	1	1	yes	characteristic
240	C₂×#11924007	C₂³	1	1	yes	characteristic
241	C₂×#11924007	C₂³	1	1	yes	characteristic
242	C₂×#11924007	C₂³	1	1	yes	characteristic
243	C₂×#11924007	C₂³	1	1	yes	characteristic
244	C₄⋊C₄×D₇₃	—	4	2	no	—
245	C₄⋊C₄×D₇₃	—	4	2	no	—
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×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₇₃	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	C₂²⋊C₄×D₇₃	—	2	4	no	—
277	C₂²⋊C₄×D₇₃	—	4	2	no	—
278	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
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	#14556498	C₂³	1	1	yes	characteristic
285	#14556498	C₂³	1	1	yes	characteristic
286	#14556498	C₂³	1	1	yes	characteristic
287	#14556498	C₂³	1	1	yes	characteristic
288	#14556498	C₂³	1	1	yes	characteristic
289	#14556498	C₂³	1	1	yes	characteristic
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×Q₈×C₇₃	C₂³	1	1	yes	characteristic
327	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
331	C₂²⋊Q₈×C₇₃	—	4	2	no	—
332	C₂²⋊Q₈×C₇₃	—	4	2	no	—
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×C₄²×C₇₃	C₂³	1	1	yes	characteristic
353	#95×C₇₃	C₂³	1	1	yes	characteristic
354	#95×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	—	2	2	no	—
367	C₂³×D₇₃	—	2	2	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	C₂×Dic₁₄₆	—	4	1	no	—
373	C₂×Dic₁₄₆	—	4	1	no	—
374	C₂×Dic₁₄₆	—	4	1	no	—
375	C₂×C₂²⋊D₇₃	—	2	2	no	—
376	C₂×C₂²⋊D₇₃	—	2	2	no	—
377	C₂×C₂²⋊D₇₃	—	2	2	no	—
378	C₂×C₂²⋊D₇₃	—	2	2	no	—
379	C₂×C₂²⋊D₇₃	—	4	1	no	—
380	C₂×C₂²⋊D₇₃	—	4	1	no	—
381	C₂²×Dic₇₃	—	4	1	no	—
382	C₂²×Dic₇₃	—	4	1	no	—
383	C₂²×Dic₇₃	—	4	1	no	—
384	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₄×D₇₃	—	2	2	no	—
399	C₂×C₄×D₇₃	—	2	2	no	—
400	C₂×C₄×D₇₃	—	2	2	no	—
401	C₂×C₄×D₇₃	—	2	2	no	—
402	C₂×C₄×D₇₃	—	2	2	no	—
403	C₂×C₄×D₇₃	—	2	2	no	—
404	C₂×C₄×D₇₃	—	2	2	no	—
405	C₂×C₄×D₇₃	—	2	2	no	—
406	C₂×C₄×D₇₃	—	2	2	no	—
407	C₂×C₄×D₇₃	—	2	2	no	—
408	C₂×C₄×D₇₃	—	2	2	no	—
409	C₂×C₄×D₇₃	—	4	1	no	—
410	C₂×C₄×D₇₃	—	4	1	no	—
411	C₂×C₄×D₇₃	—	4	1	no	—
412	C₂×C₄×D₇₃	—	4	1	no	—
413	C₂×C₄×D₇₃	—	4	1	no	—
414	C₂×C₄×D₇₃	—	4	1	no	—
415	C₂×C₄×D₇₃	—	4	1	no	—
416	C₂×C₄×D₇₃	—	4	1	no	—
417	C₂×C₄×D₇₃	—	4	16	no	—
418	C₂×C₄×D₇₃	—	4	1	no	—
419	C₂×C₄×D₇₃	—	4	1	no	—
420	C₂×C₄×D₇₃	—	4	1	no	—
421	C₂×C₄×D₇₃	—	4	1	no	—
422	C₂×C₄×D₇₃	#41	1	4	yes	—
423	C₄⋊Dic₇₃	—	2	2	no	—
424	C₄⋊Dic₇₃	—	4	1	no	—
425	C₄⋊Dic₇₃	—	4	1	no	—
426	C₄⋊Dic₇₃	—	4	1	no	—
427	C₄⋊Dic₇₃	—	4	1	no	—
428	C₄⋊Dic₇₃	—	4	1	no	—
429	C₄⋊Dic₇₃	—	4	1	no	—
430	C₄⋊Dic₇₃	—	4	1	no	—
431	C₄⋊Dic₇₃	—	4	1	no	—
432	#11924007	—	2	2	no	—
433	#11924007	—	2	2	no	—
434	#11924007	—	2	2	no	—
435	#11924007	—	2	2	no	—
436	#11924007	—	2	2	no	—
437	#11924007	—	4	1	no	—
438	#11924007	—	4	1	no	—
439	#11924007	—	4	1	no	—
440	#11924007	—	4	1	no	—
441	#11924007	—	4	1	no	—
442	#11924007	—	4	1	no	—
443	#11924007	—	4	1	no	—
444	#11924007	—	4	1	no	—
445	#11924007	—	4	1	no	—
446	#11924007	—	4	1	no	—
447	#11924007	—	4	1	no	—
448	#11924007	—	4	1	no	—
449	#11924007	—	4	1	no	—
450	#11924007	—	4	1	no	—
451	#11924007	—	4	1	no	—
452	C₂²⋊Dic₇₃	—	2	2	no	—
453	C₂²⋊Dic₇₃	—	2	2	no	—
454	C₂²⋊Dic₇₃	—	2	2	no	—
455	C₂²⋊Dic₇₃	—	2	2	no	—
456	C₂²⋊Dic₇₃	—	2	2	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	#11924005	—	2	2	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	C₄×Dic₇₃	—	2	2	no	—
483	C₄×Dic₇₃	—	4	1	no	—
484	C₄×Dic₇₃	—	4	1	no	—
485	C₄×Dic₇₃	—	4	1	no	—
486	C₄×Dic₇₃	—	4	1	no	—
487	C₄×Dic₇₃	—	4	1	no	—
488	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
489	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
490	C₂×Q₈×C₇₃	—	2	2	no	—
491	C₂×Q₈×C₇₃	—	2	2	no	—
492	C₂×Q₈×C₇₃	—	4	1	no	—
493	C₂×Q₈×C₇₃	—	4	1	no	—
494	C₂×Q₈×C₇₃	—	4	1	no	—
495	C₂×Q₈×C₇₃	—	4	1	no	—
496	C₂×D₄×C₇₃	—	2	2	no	—
497	C₂×D₄×C₇₃	—	4	1	no	—
498	C₂×D₄×C₇₃	—	4	1	no	—
499	C₂²×C₄×C₇₃	—	2	2	no	—
500	C₂²×C₄×C₇₃	—	2	2	no	—
501	C₂²×C₄×C₇₃	—	4	1	no	—
502	C₂²×C₄×C₇₃	—	4	1	no	—
503	C₂²×C₄×C₇₃	—	4	1	no	—
504	C₂²×C₄×C₇₃	—	4	1	no	—
505	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₇₃	—	2	2	no	—
519	C₄⋊C₄×C₇₃	—	2	2	no	—
520	C₄⋊C₄×C₇₃	—	4	1	no	—
521	C₄⋊C₄×C₇₃	—	4	1	no	—
522	C₄⋊C₄×C₇₃	—	4	1	no	—
523	C₄⋊C₄×C₇₃	—	4	1	no	—
524	C₄⋊C₄×C₇₃	—	4	1	no	—
525	C₄⋊C₄×C₇₃	—	4	1	no	—
526	C₄⋊C₄×C₇₃	—	4	1	no	—
527	C₂²⋊C₄×C₇₃	—	2	2	no	—
528	C₂²⋊C₄×C₇₃	—	2	2	no	—
529	C₂²⋊C₄×C₇₃	—	4	1	no	—
530	C₂²⋊C₄×C₇₃	—	4	1	no	—
531	C₂²⋊C₄×C₇₃	—	4	1	no	—
532	C₂²⋊C₄×C₇₃	—	4	1	no	—
533	C₂²⋊C₄×C₇₃	—	4	1	no	—
534	C₂²⋊C₄×C₇₃	—	4	1	no	—
535	C₂²⋊C₄×C₇₃	—	4	1	no	—
536	C₂²⋊C₄×C₇₃	—	4	1	no	—
537	C₄²×C₇₃	—	4	1	no	—
538	C₂³×C₇₃	—	2	1	no	—
539	C₂³×C₇₃	—	2	1	no	—
540	C₂³×C₇₃	—	2	1	no	—
541	C₂³×C₇₃	—	2	1	no	—
542	C₂³×C₇₃	—	2	1	no	—
543	C₂³×C₇₃	—	2	1	no	—
544	C₂³×C₇₃	—	2	1	no	—
545	C₂³×C₇₃	—	2	1	no	—
546	C₂³×C₇₃	—	2	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⁺⁴	1	2	yes	—
552	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
553	C₂²×D₇₃	—	2	1	no	—
554	C₂²×D₇₃	—	2	1	no	—
555	C₂²×D₇₃	—	2	1	no	—
556	C₂²×D₇₃	—	2	1	no	—
557	C₂²×D₇₃	—	2	8	no	—
558	C₂²×D₇₃	—	2	1	no	—
559	C₂²×D₇₃	—	2	1	no	—
560	C₂²×D₇₃	—	2	1	no	—
561	C₂²×D₇₃	—	2	1	no	—
562	C₂²×D₇₃	—	2	1	no	—
563	C₂²×D₇₃	—	2	1	no	—
564	C₂²×D₇₃	—	4	4	no	—
565	C₂²×D₇₃	—	4	4	no	—
566	C₂²×D₇₃	—	4	4	no	—
567	C₂²×D₇₃	—	4	4	no	—
568	C₂²×D₇₃	—	4	4	no	—
569	C₂²×D₇₃	—	4	4	no	—
570	C₂²×D₇₃	C₂×#41	1	2	yes	—
571	C₂²×D₇₃	H(5,𝔽₂)	1	2	yes	—
572	C₂²×D₇₃	H(5,𝔽₂)	1	2	yes	—
573	C₂²×D₇₃	2₋¹⁺⁴	1	2	yes	—
574	Q₈×C₇₃	—	8	2	no	—
575	Q₈×C₇₃	—	8	2	no	—
576	D₄×C₇₃	—	8	2	no	—
577	C₂×C₄×C₇₃	—	2	1	no	—
578	C₂×C₄×C₇₃	—	2	1	no	—
579	C₂×C₄×C₇₃	—	2	1	no	—
580	C₂×C₄×C₇₃	—	2	1	no	—
581	C₂×C₄×C₇₃	—	2	1	no	—
582	C₂×C₄×C₇₃	—	2	1	no	—
583	C₂×C₄×C₇₃	—	2	1	no	—
584	C₂×C₄×C₇₃	—	2	1	no	—
585	C₂×C₄×C₇₃	—	2	1	no	—
586	C₂×C₄×C₇₃	—	2	1	no	—
587	C₂×C₄×C₇₃	—	2	1	no	—
588	C₂×C₄×C₇₃	—	2	1	no	—
589	C₂×C₄×C₇₃	—	2	1	no	—
590	C₂×C₄×C₇₃	—	2	1	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	—	4	4	no	—
615	C₂×C₄×C₇₃	—	8	2	no	—
616	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
617	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
618	C₂²⋊D₇₃	—	4	4	no	—
619	C₂²⋊D₇₃	—	8	2	no	—
620	C₂×Dic₇₃	—	2	1	no	—
621	C₂×Dic₇₃	—	2	1	no	—
622	C₂×Dic₇₃	—	2	1	no	—
623	C₂×Dic₇₃	—	2	1	no	—
624	C₂×Dic₇₃	—	2	1	no	—
625	C₂×Dic₇₃	—	2	1	no	—
626	C₂×Dic₇₃	—	2	1	no	—
627	C₂×Dic₇₃	—	2	1	no	—
628	C₂×Dic₇₃	—	2	1	no	—
629	C₂×Dic₇₃	—	2	1	no	—
630	C₂×Dic₇₃	—	2	1	no	—
631	C₂×Dic₇₃	—	2	1	no	—
632	C₂×Dic₇₃	—	2	1	no	—
633	C₂×Dic₇₃	—	2	1	no	—
634	C₂×Dic₇₃	—	2	1	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	—	4	4	no	—
662	C₂×Dic₇₃	C₂×#41	1	2	yes	—
663	C₄×D₇₃	—	4	4	no	—
664	C₄×D₇₃	—	4	4	no	—
665	C₄×D₇₃	—	4	4	no	—
666	C₄×D₇₃	—	4	4	no	—
667	C₄×D₇₃	—	4	4	no	—
668	C₄×D₇₃	—	4	4	no	—
669	C₄×D₇₃	—	8	2	no	—
670	C₄×D₇₃	—	8	2	no	—
671	Dic₁₄₆	—	8	2	no	—
672	C₂²×C₇₃	—	2	2	no	—
673	C₂²×C₇₃	—	2	2	no	—
674	C₂²×C₇₃	—	2	2	no	—
675	C₂²×C₇₃	—	4	1	no	—
676	C₂²×C₇₃	—	4	1	no	—
677	C₂²×C₇₃	—	4	1	no	—
678	C₂²×C₇₃	—	4	1	no	—
679	C₂²×C₇₃	—	4	1	no	—
680	C₂²×C₇₃	—	4	1	no	—
681	C₂²×C₇₃	—	4	1	no	—
682	C₂²×C₇₃	—	4	1	no	—
683	C₂²×C₇₃	—	4	1	no	—
684	C₂²×C₇₃	—	4	1	no	—
685	C₂²×C₇₃	—	4	1	no	—
686	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
687	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
688	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
689	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
690	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
691	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
692	C₂²×C₇₃	#585	1	1	yes	characteristic
693	C₂×D₇₃	—	2	2	no	—
694	C₂×D₇₃	—	2	2	no	—
695	C₂×D₇₃	—	2	2	no	—
696	C₂×D₇₃	—	2	2	no	—
697	C₂×D₇₃	—	2	2	no	—
698	C₂×D₇₃	—	2	2	no	—
699	C₂×D₇₃	—	2	2	no	—
700	C₂×D₇₃	—	2	2	no	—
701	C₂×D₇₃	—	2	2	no	—
702	C₂×D₇₃	—	4	16	no	—
703	C₂×D₇₃	—	4	1	no	—
704	C₂×D₇₃	—	4	1	no	—
705	C₂×D₇₃	—	4	1	no	—
706	C₂×D₇₃	—	4	1	no	—
707	C₂×D₇₃	#542	1	4	yes	—
708	C₄×C₇₃	—	2	2	no	—
709	C₄×C₇₃	—	2	2	no	—
710	C₄×C₇₃	—	4	1	no	—
711	C₄×C₇₃	—	4	1	no	—
712	C₄×C₇₃	—	4	1	no	—
713	C₄×C₇₃	—	4	1	no	—
714	C₄×C₇₃	—	4	1	no	—
715	C₄×C₇₃	—	4	1	no	—
716	C₄×C₇₃	—	4	1	no	—
717	C₄×C₇₃	—	4	1	no	—
718	C₄×C₇₃	—	4	1	no	—
719	C₄×C₇₃	—	4	1	no	—
720	C₄×C₇₃	—	4	1	no	—
721	Dic₇₃	—	2	2	no	—
722	Dic₇₃	—	4	1	no	—
723	Dic₇₃	—	4	1	no	—
724	Dic₇₃	—	4	1	no	—
725	Dic₇₃	—	4	1	no	—
726	Dic₇₃	—	4	1	no	—
727	Dic₇₃	—	4	1	no	—
728	Dic₇₃	—	4	1	no	—
729	Dic₇₃	—	4	1	no	—
730	Dic₇₃	—	4	1	no	—
731	Dic₇₃	—	4	1	no	—
732	Dic₇₃	—	4	1	no	—
733	Dic₇₃	—	4	1	no	—
734	Dic₇₃	—	4	1	no	—
735	#36778	—	73	1	no	maximal, Sylow
736	C₂×C₇₃	—	4	2	no	—
737	C₂×C₇₃	—	8	1	no	—
738	C₂×C₇₃	C₂×#542	1	1	yes	characteristic
739	C₂×C₇₃	#3492	1	1	yes	characteristic
740	C₂×C₇₃	#3505	1	1	yes	characteristic
741	C₂×C₇₃	#3532	1	1	yes	characteristic
742	C₂×C₇₃	#3535	1	1	yes	characteristic
743	C₂×C₇₃	#3535	1	1	yes	characteristic
744	C₂×C₇₃	#3538	1	1	yes	characteristic
745	D₇₃	—	2	4	no	—
746	D₇₃	—	4	2	no	—
747	#2849	—	73	1	no	—
748	#2848	—	73	1	no	—
749	#2790	—	73	1	no	—
750	#2779	—	73	1	no	—
751	#2770	—	73	1	no	—
752	#2765	—	73	1	no	—
753	#2764	—	73	1	no	—
754	#2763	—	73	1	no	—
755	#2757	—	73	1	no	—
756	#2746	—	73	1	no	—
757	#2739	—	73	1	no	—
758	#2729	—	73	1	no	—
759	#2718	—	73	1	no	—
760	#2717	—	73	1	no	—
761	#2698	—	73	1	no	—
762	#2692	D₇₃	1	1	yes	characteristic, complemented
763	#2687	—	73	1	no	—
764	#2674	—	73	1	no	—
765	#2627	—	73	1	no	—
766	#2623	—	73	1	no	—
767	#2561	—	73	1	no	—
768	#2534	—	73	1	no	—
769	#2493	—	73	1	no	—
770	#2488	—	73	1	no	—
771	#2480	—	73	1	no	—
772	#2472	—	73	1	no	—
773	#2440	—	73	1	no	—
774	#2417	—	73	1	no	—
775	#2329	—	73	1	no	—
776	#2318	—	73	1	no	—
777	C₂×#385	—	73	1	no	—
778	C₇₃	#36778	1	1	yes	characteristic, complemented, Sylow
779	C₂⁴×C₄	—	73	1	no	—
780	C₂×C₄⋊Q₈	—	73	1	no	—
781	C₂×#126	—	73	1	no	—
782	C₂×#124	—	73	1	no	—
783	C₂×#123	—	73	1	no	—
784	C₂×#123	—	73	1	no	—
785	C₂×#123	—	73	1	no	—
786	C₂×C₂²⋊Q₈	—	73	1	no	—
787	C₂×C₂²⋊Q₈	—	73	1	no	—
788	C₂×C₂²⋊Q₈	—	73	1	no	—
789	C₂×C₂²⋊Q₈	—	73	1	no	—
790	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic
791	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
792	C₂×#120	—	73	1	no	—
793	C₂×C₄×D₄	—	73	1	no	—
794	C₂²×C₄⋊C₄	—	73	1	no	—
795	C₂²×C₄⋊C₄	—	73	1	no	—
796	C₂²×C₂²⋊C₄	—	73	1	no	—
797	C₂²×C₂²⋊C₄	—	73	1	no	—
798	#401	—	73	1	no	—
799	#400	—	73	1	no	—
800	#400	—	73	1	no	—
801	#400	—	73	1	no	—
802	#400	—	73	1	no	—
803	#400	—	73	1	no	—
804	#400	—	73	1	no	—
805	#400	—	73	1	no	—
806	#400	—	73	1	no	—
807	#400	—	73	1	no	—
808	#399	—	73	1	no	—
809	#399	C₂×D₇₃	1	1	yes	characteristic, complemented
810	#398	—	73	1	no	—
811	#398	—	73	1	no	—
812	#398	—	73	1	no	—
813	#398	—	73	1	no	—
814	#398	—	73	1	no	—
815	#398	—	73	1	no	—
816	#398	—	73	1	no	—
817	#398	—	73	1	no	—
818	#398	—	73	1	no	—
819	#398	C₂×D₇₃	1	1	yes	characteristic, complemented
820	#397	—	73	1	no	—
821	#397	—	73	1	no	—
822	#397	—	73	1	no	—
823	#397	—	73	1	no	—
824	#397	—	73	1	no	—
825	#397	—	73	1	no	—
826	#397	—	73	1	no	—
827	#397	—	73	1	no	—
828	#397	—	73	1	no	—
829	#396	—	73	1	no	—
830	#396	—	73	1	no	—
831	#396	—	73	1	no	—
832	#396	—	73	1	no	—
833	#396	C₂×D₇₃	1	1	yes	characteristic
834	#395	—	73	1	no	—
835	#395	—	73	1	no	—
836	#395	—	73	1	no	—
837	#395	C₂×D₇₃	1	1	yes	characteristic, complemented
838	#394	—	73	1	no	—
839	#394	—	73	1	no	—
840	#394	—	73	1	no	—
841	#394	—	73	1	no	—
842	#393	—	73	1	no	—
843	#393	—	73	1	no	—
844	#393	C₂×D₇₃	1	1	yes	characteristic
845	#393	C₂×D₇₃	1	1	yes	characteristic, complemented
846	#391	—	73	1	no	—
847	#391	—	73	1	no	—
848	#391	—	73	1	no	—
849	#391	C₂×D₇₃	1	1	yes	characteristic, complemented
850	#390	C₂×D₇₃	1	1	yes	characteristic
851	#389	—	73	1	no	—
852	#389	—	73	1	no	—
853	#389	—	73	1	no	—
854	#389	—	73	1	no	—
855	#389	—	73	1	no	—
856	#388	—	73	1	no	—
857	#388	—	73	1	no	—
858	#388	—	73	1	no	—
859	#388	—	73	1	no	—
860	#388	—	73	1	no	—
861	#388	—	73	1	no	—
862	#388	—	73	1	no	—
863	#388	—	73	1	no	—
864	#388	—	73	1	no	—
865	#388	—	73	1	no	—
866	#388	—	73	1	no	—
867	#388	—	73	1	no	—
868	#388	—	73	1	no	—
869	#388	—	73	1	no	—
870	#388	—	73	1	no	—
871	#387	—	73	1	no	—
872	#387	—	73	1	no	—
873	#387	—	73	1	no	—
874	#387	—	73	1	no	—
875	#387	—	73	1	no	—
876	#387	—	73	1	no	—
877	#387	—	73	1	no	—
878	#387	—	73	1	no	—
879	#387	C₂×D₇₃	1	1	yes	characteristic, complemented
880	#386	—	73	1	no	—
881	#386	—	73	1	no	—
882	#386	—	73	1	no	—
883	#386	—	73	1	no	—
884	#386	—	73	1	no	—
885	#386	—	73	1	no	—
886	#386	C₂×D₇₃	1	1	yes	characteristic
887	#386	C₂×D₇₃	1	1	yes	characteristic
888	#385	—	73	1	no	—
889	#385	—	73	1	no	—
890	#385	—	73	1	no	—
891	#385	—	73	1	no	—
892	#385	—	73	1	no	—
893	#385	—	73	1	no	—
894	#385	—	73	1	no	—
895	#385	—	73	1	no	—
896	#385	—	73	1	no	—
897	#385	—	73	1	no	—
898	#385	—	73	1	no	—
899	#385	—	73	1	no	—
900	#385	—	73	1	no	—
901	#385	—	73	1	no	—
902	#385	—	73	1	no	—
903	#385	—	73	1	no	—
904	#385	—	73	1	no	—
905	#385	—	73	1	no	—
906	#385	—	73	1	no	—
907	#385	C₂×D₇₃	1	1	yes	characteristic
908	#384	—	73	1	no	—
909	#383	—	73	1	no	—
910	#383	—	73	1	no	—
911	#382	—	73	1	no	—
912	#382	—	73	1	no	—
913	#381	—	73	1	no	—
914	#381	—	73	1	no	—
915	#381	—	73	1	no	—
916	#381	—	73	1	no	—
917	#381	—	73	1	no	—
918	#381	—	73	1	no	—
919	#380	—	73	1	no	—
920	#380	—	73	1	no	—
921	#380	—	73	1	no	—
922	#380	—	73	1	no	—
923	#380	—	73	1	no	—
924	#380	—	73	1	no	—
925	#380	C₂×D₇₃	1	1	yes	characteristic, complemented
926	#379	—	73	1	no	—
927	#379	—	73	1	no	—
928	#379	—	73	1	no	—
929	C₄×C₂²⋊C₄	—	73	1	no	—
930	C₄×C₂²⋊C₄	—	73	1	no	—
931	C₄×C₂²⋊C₄	—	73	1	no	—
932	C₂×#95	—	73	1	no	—
933	C₂×#95	—	73	1	no	—
934	C₂⁵	—	73	1	no	—
935	C₂²×Q₈	—	73	1	no	—
936	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
937	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
938	C₂²×D₄	—	73	1	no	—
939	C₂²×D₄	—	73	1	no	—
940	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
941	C₂³×C₄	—	292	2	no	—
942	C₂³×C₄	—	292	2	no	—
943	C₂³×C₄	—	292	2	no	—
944	C₂³×C₄	—	73	1	no	—
945	C₂³×C₄	—	73	1	no	—
946	C₂³×C₄	—	73	1	no	—
947	C₂³×C₄	—	73	1	no	—
948	C₂³×C₄	—	73	1	no	—
949	C₂³×C₄	—	73	1	no	—
950	C₂³×C₄	—	73	1	no	—
951	C₂³×C₄	—	73	1	no	—
952	C₂³×C₄	—	73	1	no	—
953	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
954	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
955	C₄⋊Q₈	—	292	2	no	—
956	#126	—	292	2	no	—
957	#124	—	292	2	no	—
958	#123	—	292	2	no	—
959	#123	—	292	2	no	—
960	#123	—	292	2	no	—
961	C₂²⋊Q₈	—	4	2	no	—
962	C₂²⋊Q₈	—	4	2	no	—
963	C₂²⋊Q₈	—	292	2	no	—
964	C₂²⋊Q₈	—	292	2	no	—
965	C₂²⋊Q₈	—	292	2	no	—
966	C₂²⋊Q₈	—	146	4	no	—
967	#120	—	292	2	no	—
968	C₄×D₄	—	146	4	no	—
969	C₂×C₄⋊C₄	—	292	2	no	—
970	C₂×C₄⋊C₄	—	292	2	no	—
971	C₂×C₄⋊C₄	—	73	1	no	—
972	C₂×C₄⋊C₄	—	73	1	no	—
973	C₂×C₄⋊C₄	—	73	1	no	—
974	C₂×C₄⋊C₄	—	73	1	no	—
975	C₂×C₄⋊C₄	—	73	1	no	—
976	C₂×C₄⋊C₄	—	73	1	no	—
977	C₂×C₄⋊C₄	—	73	1	no	—
978	C₂×C₄⋊C₄	—	73	1	no	—
979	C₂×C₄⋊C₄	—	73	1	no	—
980	C₂×C₄⋊C₄	—	73	1	no	—
981	C₂×C₄⋊C₄	—	73	1	no	—
982	C₂×C₄⋊C₄	—	73	1	no	—
983	C₂×C₄⋊C₄	—	73	1	no	—
984	C₂×C₄⋊C₄	—	73	1	no	—
985	C₂×C₄⋊C₄	—	73	1	no	—
986	C₂×C₄⋊C₄	—	73	1	no	—
987	C₂×C₄⋊C₄	—	73	1	no	—
988	C₂×C₄⋊C₄	—	73	1	no	—
989	C₂×C₄⋊C₄	—	73	1	no	—
990	C₂×C₄⋊C₄	—	73	1	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	C₂²×D₇₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	—	292	2	no	—
1010	C₂×C₂²⋊C₄	—	73	1	no	—
1011	C₂×C₂²⋊C₄	—	73	1	no	—
1012	C₂×C₂²⋊C₄	—	73	1	no	—
1013	C₂×C₂²⋊C₄	—	73	1	no	—
1014	C₂×C₂²⋊C₄	—	73	1	no	—
1015	C₂×C₂²⋊C₄	—	73	1	no	—
1016	C₂×C₂²⋊C₄	—	73	1	no	—
1017	C₂×C₂²⋊C₄	—	73	1	no	—
1018	C₂×C₂²⋊C₄	—	73	1	no	—
1019	C₂×C₂²⋊C₄	—	73	1	no	—
1020	C₂×C₂²⋊C₄	—	73	1	no	—
1021	C₂×C₂²⋊C₄	—	73	1	no	—
1022	C₂×C₂²⋊C₄	—	73	1	no	—
1023	C₂×C₂²⋊C₄	—	73	1	no	—
1024	C₂×C₂²⋊C₄	—	73	1	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	—	146	4	no	—
1041	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1051	C₂×C₄²	—	73	1	no	—
1052	C₂×C₄²	—	73	1	no	—
1053	C₂×C₄²	—	73	1	no	—
1054	C₂×C₄²	—	73	1	no	—
1055	C₂×C₄²	—	73	1	no	—
1056	C₂×C₄²	—	73	1	no	—
1057	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1058	#95	—	73	1	no	—
1059	#95	—	73	1	no	—
1060	#95	—	73	1	no	—
1061	#95	—	73	1	no	—
1062	#95	—	73	1	no	—
1063	#95	—	73	1	no	—
1064	#95	—	73	1	no	—
1065	#95	—	73	1	no	—
1066	#95	—	73	1	no	—
1067	#95	—	73	1	no	—
1068	#95	—	73	1	no	—
1069	#95	—	73	1	no	—
1070	#95	—	73	1	no	—
1071	#95	—	73	1	no	—
1072	#95	—	73	1	no	—
1073	#95	—	73	1	no	—
1074	#95	—	73	1	no	—
1075	#95	—	73	1	no	—
1076	#95	—	73	1	no	—
1077	#95	—	73	1	no	—
1078	#95	—	73	1	no	—
1079	#95	—	73	1	no	—
1080	#95	—	73	1	no	—
1081	#95	—	73	1	no	—
1082	#95	—	73	1	no	—
1083	#95	—	73	1	no	—
1084	#95	—	73	1	no	—
1085	#95	—	73	1	no	—
1086	#95	—	73	1	no	—
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	C₂²×D₇₃	1	1	yes	characteristic
1101	#95	C₂²×D₇₃	1	1	yes	characteristic
1102	#95	C₂²×D₇₃	1	1	yes	characteristic
1103	#95	C₂²×D₇₃	1	1	yes	characteristic
1104	#95	C₂²×D₇₃	1	1	yes	characteristic
1105	#95	C₂²×D₇₃	1	1	yes	characteristic
1106	#95	C₂²×D₇₃	1	1	yes	characteristic
1107	#95	C₂²×D₇₃	1	1	yes	characteristic
1108	#95	C₂²×D₇₃	1	1	yes	characteristic
1109	#95	C₂²×D₇₃	1	1	yes	characteristic
1110	C₂⁴	—	292	1	no	—
1111	C₂⁴	—	292	1	no	—
1112	C₂⁴	—	73	1	no	—
1113	C₂⁴	—	73	1	no	—
1114	C₂⁴	—	146	2	no	—
1115	C₂⁴	—	146	2	no	—
1116	C₂⁴	—	146	2	no	—
1117	C₂⁴	—	146	2	no	—
1118	C₂⁴	—	146	2	no	—
1119	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1120	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1121	C₂×Q₈	—	2	2	no	—
1122	C₂×Q₈	—	2	2	no	—
1123	C₂×Q₈	—	4	1	no	—
1124	C₂×Q₈	—	4	1	no	—
1125	C₂×Q₈	—	4	1	no	—
1126	C₂×Q₈	—	4	1	no	—
1127	C₂×Q₈	—	292	1	no	—
1128	C₂×Q₈	—	292	1	no	—
1129	C₂×Q₈	—	292	1	no	—
1130	C₂×D₄	—	2	2	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	292	1	no	—
1134	C₂×D₄	—	292	1	no	—
1135	C₂×D₄	—	146	2	no	—
1136	C₂×D₄	—	146	2	no	—
1137	C₂×D₄	—	146	2	no	—
1138	C₂×D₄	—	146	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	4	1	no	—
1142	C₂²×C₄	—	4	1	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	292	1	no	—
1146	C₂²×C₄	—	292	1	no	—
1147	C₂²×C₄	—	292	1	no	—
1148	C₂²×C₄	—	292	1	no	—
1149	C₂²×C₄	—	292	1	no	—
1150	C₂²×C₄	—	292	1	no	—
1151	C₂²×C₄	—	292	1	no	—
1152	C₂²×C₄	—	292	1	no	—
1153	C₂²×C₄	—	292	1	no	—
1154	C₂²×C₄	—	292	1	no	—
1155	C₂²×C₄	—	292	1	no	—
1156	C₂²×C₄	—	292	1	no	—
1157	C₂²×C₄	—	292	16	no	—
1158	C₂²×C₄	—	292	1	no	—
1159	C₂²×C₄	—	292	1	no	—
1160	C₂²×C₄	—	292	1	no	—
1161	C₂²×C₄	—	73	4	no	—
1162	C₂²×C₄	—	73	1	no	—
1163	C₂²×C₄	—	73	1	no	—
1164	C₂²×C₄	—	73	1	no	—
1165	C₂²×C₄	—	73	1	no	—
1166	C₂²×C₄	—	73	1	no	—
1167	C₂²×C₄	—	73	1	no	—
1168	C₂²×C₄	—	73	1	no	—
1169	C₂²×C₄	—	73	1	no	—
1170	C₂²×C₄	—	73	1	no	—
1171	C₂²×C₄	—	73	1	no	—
1172	C₂²×C₄	—	73	1	no	—
1173	C₂²×C₄	—	73	1	no	—
1174	C₂²×C₄	—	73	1	no	—
1175	C₂²×C₄	—	73	1	no	—
1176	C₂²×C₄	—	146	2	no	—
1177	C₂²×C₄	—	146	2	no	—
1178	C₂²×C₄	—	146	2	no	—
1179	C₂²×C₄	—	146	2	no	—
1180	C₂²×C₄	—	146	2	no	—
1181	C₂²×C₄	—	146	2	no	—
1182	C₂²×C₄	—	146	2	no	—
1183	C₂²×C₄	—	146	2	no	—
1184	C₂²×C₄	—	146	2	no	—
1185	C₂²×C₄	—	146	2	no	—
1186	C₂²×C₄	—	146	2	no	—
1187	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	—	4	1	no	—
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	292	1	no	—
1210	C₄⋊C₄	—	292	1	no	—
1211	C₄⋊C₄	—	292	1	no	—
1212	C₄⋊C₄	—	292	1	no	—
1213	C₄⋊C₄	—	292	1	no	—
1214	C₄⋊C₄	—	292	1	no	—
1215	C₄⋊C₄	—	292	1	no	—
1216	C₄⋊C₄	—	292	1	no	—
1217	C₄⋊C₄	—	292	1	no	—
1218	C₄⋊C₄	—	292	1	no	—
1219	C₄⋊C₄	—	292	1	no	—
1220	C₄⋊C₄	—	292	1	no	—
1221	C₄⋊C₄	—	292	1	no	—
1222	C₄⋊C₄	—	292	1	no	—
1223	C₄⋊C₄	—	292	1	no	—
1224	C₄⋊C₄	—	292	1	no	—
1225	C₄⋊C₄	—	292	1	no	—
1226	C₄⋊C₄	—	292	1	no	—
1227	C₄⋊C₄	—	292	1	no	—
1228	C₄⋊C₄	—	292	1	no	—
1229	C₄⋊C₄	—	292	1	no	—
1230	C₄⋊C₄	—	292	1	no	—
1231	C₄⋊C₄	—	292	1	no	—
1232	C₄⋊C₄	—	146	2	no	—
1233	C₄⋊C₄	—	146	2	no	—
1234	C₄⋊C₄	—	146	2	no	—
1235	C₄⋊C₄	—	146	2	no	—
1236	C₄⋊C₄	—	146	2	no	—
1237	C₄⋊C₄	—	146	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	4	1	no	—
1241	C₂²⋊C₄	—	4	1	no	—
1242	C₂²⋊C₄	—	4	1	no	—
1243	C₂²⋊C₄	—	4	1	no	—
1244	C₂²⋊C₄	—	4	1	no	—
1245	C₂²⋊C₄	—	4	1	no	—
1246	C₂²⋊C₄	—	4	1	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	292	1	no	—
1249	C₂²⋊C₄	—	292	1	no	—
1250	C₂²⋊C₄	—	292	1	no	—
1251	C₂²⋊C₄	—	292	1	no	—
1252	C₂²⋊C₄	—	292	1	no	—
1253	C₂²⋊C₄	—	292	1	no	—
1254	C₂²⋊C₄	—	292	1	no	—
1255	C₂²⋊C₄	—	292	1	no	—
1256	C₂²⋊C₄	—	292	1	no	—
1257	C₂²⋊C₄	—	292	1	no	—
1258	C₂²⋊C₄	—	292	1	no	—
1259	C₂²⋊C₄	—	146	2	no	—
1260	C₂²⋊C₄	—	146	2	no	—
1261	C₂²⋊C₄	—	146	2	no	—
1262	C₂²⋊C₄	—	146	2	no	—
1263	C₂²⋊C₄	—	146	2	no	—
1264	C₂²⋊C₄	—	146	2	no	—
1265	C₂²⋊C₄	—	146	2	no	—
1266	C₂²⋊C₄	—	146	2	no	—
1267	C₂²⋊C₄	—	146	2	no	—
1268	C₂²⋊C₄	—	146	2	no	—
1269	C₂²⋊C₄	—	146	2	no	—
1270	C₂²⋊C₄	—	146	2	no	—
1271	C₂²⋊C₄	—	146	2	no	—
1272	C₂²⋊C₄	—	146	2	no	—
1273	C₂²⋊C₄	—	146	2	no	—
1274	C₂²⋊C₄	—	146	2	no	—
1275	C₂²⋊C₄	—	146	2	no	—
1276	C₂²⋊C₄	—	146	2	no	—
1277	C₂²⋊C₄	—	146	2	no	—
1278	C₄²	—	4	1	no	—
1279	C₄²	—	292	1	no	—
1280	C₄²	—	292	1	no	—
1281	C₄²	—	292	1	no	—
1282	C₄²	—	292	1	no	—
1283	C₄²	—	292	1	no	—
1284	C₄²	—	146	2	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	292	4	no	—
1299	C₂³	—	292	4	no	—
1300	C₂³	—	292	4	no	—
1301	C₂³	—	292	4	no	—
1302	C₂³	—	292	4	no	—
1303	C₂³	—	292	4	no	—
1304	C₂³	—	73	2	no	—
1305	C₂³	—	73	2	no	—
1306	C₂³	—	73	2	no	—
1307	C₂³	—	73	2	no	—
1308	C₂³	—	146	8	no	—
1309	C₂³	—	146	1	no	—
1310	C₂³	—	146	1	no	—
1311	C₂³	—	146	1	no	—
1312	C₂³	—	146	1	no	—
1313	C₂³	—	146	1	no	—
1314	C₂³	—	146	1	no	—
1315	C₂³	—	146	1	no	—
1316	C₂³	—	146	1	no	—
1317	C₂³	—	146	1	no	—
1318	C₂³	—	146	1	no	—
1319	C₂³	#14556639	1	2	yes	—
1320	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1321	Q₈	—	8	2	no	—
1322	Q₈	—	8	2	no	—
1323	Q₈	—	584	2	no	—
1324	D₄	—	8	2	no	—
1325	D₄	—	292	4	no	—
1326	D₄	—	584	2	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	4	4	no	—
1365	C₂×C₄	—	8	2	no	—
1366	C₂×C₄	—	292	4	no	—
1367	C₂×C₄	—	292	4	no	—
1368	C₂×C₄	—	292	4	no	—
1369	C₂×C₄	—	292	4	no	—
1370	C₂×C₄	—	292	4	no	—
1371	C₂×C₄	—	292	4	no	—
1372	C₂×C₄	—	292	4	no	—
1373	C₂×C₄	—	584	2	no	—
1374	C₂×C₄	—	584	2	no	—
1375	C₂×C₄	—	73	2	no	—
1376	C₂×C₄	—	146	1	no	—
1377	C₂×C₄	—	146	1	no	—
1378	C₂×C₄	—	146	1	no	—
1379	C₂×C₄	—	146	1	no	—
1380	C₂×C₄	—	146	1	no	—
1381	C₂×C₄	—	146	1	no	—
1382	C₂×C₄	—	146	1	no	—
1383	C₂×C₄	—	146	1	no	—
1384	C₂×C₄	—	146	1	no	—
1385	C₂×C₄	—	146	1	no	—
1386	C₂×C₄	—	146	1	no	—
1387	C₂×C₄	—	146	1	no	—
1388	C₂×C₄	—	146	1	no	—
1389	C₂×C₄	—	146	1	no	—
1390	C₂×C₄	—	146	1	no	—
1391	C₂×C₄	—	146	1	no	—
1392	C₂×C₄	—	146	1	no	—
1393	C₂×C₄	—	146	1	no	—
1394	C₂×C₄	—	146	1	no	—
1395	C₂×C₄	—	146	1	no	—
1396	C₂×C₄	—	146	1	no	—
1397	C₂×C₄	—	146	1	no	—
1398	C₂×C₄	—	146	1	no	—
1399	C₂×C₄	—	146	1	no	—
1400	C₂×C₄	—	146	1	no	—
1401	C₂×C₄	—	146	1	no	—
1402	C₂×C₄	—	146	1	no	—
1403	C₂×C₄	—	146	1	no	—
1404	C₂×C₄	—	146	1	no	—
1405	C₂×C₄	—	146	1	no	—
1406	C₂×C₄	—	146	1	no	—
1407	C₂×C₄	—	146	1	no	—
1408	C₂×C₄	—	146	1	no	—
1409	C₂×C₄	—	146	1	no	—
1410	C₂×C₄	—	146	1	no	—
1411	C₂×C₄	—	146	1	no	—
1412	C₂×C₄	—	146	1	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	#41×D₇₃	1	2	yes	—
1418	C₂×C₄	#14556636	1	2	yes	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	292	16	no	—
1434	C₂²	—	292	1	no	—
1435	C₂²	—	292	1	no	—
1436	C₂²	—	292	1	no	—
1437	C₂²	—	292	1	no	—
1438	C₂²	—	73	4	no	—
1439	C₂²	—	146	2	no	—
1440	C₂²	—	146	2	no	—
1441	C₂²	—	146	2	no	—
1442	C₂²	—	146	2	no	—
1443	C₂²	—	146	2	no	—
1444	C₂²	—	146	2	no	—
1445	C₂²	—	146	2	no	—
1446	C₂²	—	146	2	no	—
1447	C₂²	—	146	2	no	—
1448	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1449	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1450	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1451	C₂²	C₂×#14556636	1	1	yes	characteristic
1452	C₂²	2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1453	C₂²	C₂×#14556639	1	1	yes	characteristic
1454	C₂²	#17989422	1	1	yes	characteristic
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	292	1	no	—
1469	C₄	—	292	1	no	—
1470	C₄	—	292	1	no	—
1471	C₄	—	292	1	no	—
1472	C₄	—	292	1	no	—
1473	C₄	—	292	1	no	—
1474	C₄	—	292	1	no	—
1475	C₄	—	292	1	no	—
1476	C₄	—	292	1	no	—
1477	C₄	—	292	1	no	—
1478	C₄	—	292	1	no	—
1479	C₄	—	292	1	no	—
1480	C₄	—	292	1	no	—
1481	C₄	—	146	2	no	—
1482	C₂	—	4	2	no	—
1483	C₂	—	8	1	no	—
1484	C₂	—	292	2	no	—
1485	C₂	—	146	4	no	—
1486	C₂	#542×D₇₃	1	1	yes	characteristic
1487	C₂	#22623639	1	1	yes	characteristic
1488	C₂	#22623758	1	1	yes	characteristic
1489	C₂	#22624085	1	1	yes	characteristic
1490	C₂	#22624131	1	1	yes	characteristic
1491	C₂	#22624145	1	1	yes	characteristic
1492	C₂	#22624172	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Fitting	C₇₃×#2692	C₂
prime radical	C₂×#14556559	C₂²
hypercenter	#2692	D₇₃
hypocenter	C₇₃	#36778
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2692

Complements

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

N	H ≅ G/N	type
2. #22618215	C₂	semidirect
3. #22617703	C₂	semidirect
4. #22617568	C₂	semidirect
5. #22617433	C₂	semidirect
6. #22617359	C₂	semidirect
7. #22617351	C₂	semidirect
8. #22617348	C₂	semidirect
9. #22617268	C₂	semidirect
10. #22617119	C₂	semidirect
11. #22617011	C₂	semidirect
12. #22616909	C₂	semidirect
13. #22616774	C₂	semidirect
14. #22616767	C₂	semidirect
15. #22616512	C₂	semidirect
16. #22616348	C₂	semidirect
17. #22616211	C₂	semidirect
18. #22615749	C₂	semidirect
19. #22615716	C₂	semidirect
20. #22615085	C₂	semidirect
22. #22614315	C₂	semidirect
23. #22614250	C₂	semidirect
24. #22614180	C₂	semidirect
26. #22613626	C₂	semidirect
27. #22613378	C₂	semidirect
28. #22612663	C₂	semidirect
29. #22612566	C₂	semidirect
30. #385×D₇₃	C₂	semidirect
31. C₇₃×#2692	C₂	semidirect
33. C₂×#14556589	C₂²	semidirect
49. C₇₃⋊#401	C₂²	semidirect
50. #17988529	C₂²	semidirect
51. #17988529	C₂²	semidirect
52. #17988529	C₂²	semidirect
53. #17988528	C₂²	semidirect
54. #17988527	C₂²	semidirect
55. #17988527	C₂²	semidirect
56. #17988527	C₂²	semidirect
57. #17988525	C₂²	semidirect
58. #17988525	C₂²	semidirect
59. #17988523	C₂²	semidirect
60. #17988521	C₂²	semidirect
61. #17988520	C₂²	semidirect
62. #17988520	C₂²	semidirect
63. #17988520	C₂²	semidirect
64. #17988520	C₂²	semidirect
65. #17988520	C₂²	semidirect
66. #17988518	C₂²	semidirect
67. #17988518	C₂²	semidirect
68. #17988517	C₂²	semidirect
70. #17988515	C₂²	semidirect
71. #17988515	C₂²	semidirect
72. #17988515	C₂²	semidirect
80. #17988510	C₂²	semidirect
81. #17988510	C₂²	semidirect
82. #17988508	C₂²	semidirect
83. #17988508	C₂²	semidirect
84. #17988507	C₂²	semidirect
91. #17988494	C₂²	semidirect
92. #17988494	C₂²	semidirect
93. #17988494	C₂²	semidirect
94. #17988486	C₂²	semidirect
95. #17988484	C₂²	semidirect
96. #17988484	C₂²	semidirect
97. #17988482	C₂²	semidirect
98. #17988482	C₂²	semidirect
100. #17988481	C₂²	semidirect
101. #17988481	C₂²	semidirect
102. #17988481	C₂²	semidirect
103. #17988480	C₂²	semidirect
114. #17988474	C₂²	semidirect
115. #17988473	C₂²	semidirect
116. #17988472	C₂²	semidirect
117. #17988471	C₂²	semidirect
118. #17988470	C₂²	semidirect
119. #17988469	C₂²	semidirect
120. #17988468	C₂²	semidirect
121. #17988468	C₂²	semidirect
147. #17988456	C₂²	semidirect
148. #17988455	C₂²	semidirect
149. #17988454	C₂²	semidirect
150. #17988451	C₂²	semidirect
151. #17988451	C₂²	semidirect
152. #17988450	C₂²	semidirect
159. #17988447	C₂²	semidirect
173. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
174. #399×C₇₃	C₂²	semidirect
175. #398×C₇₃	C₂²	semidirect
177. #395×C₇₃	C₂²	semidirect
179. #393×C₇₃	C₂²	semidirect
180. #391×C₇₃	C₂²	semidirect
182. #387×C₇₃	C₂²	semidirect
186. #380×C₇₃	C₂²	semidirect
762. #2692	D₇₃	semidirect
778. C₇₃	#36778	semidirect
791. C₂×C₂²⋊Q₈	C₂×D₇₃	semidirect
809. #399	C₂×D₇₃	semidirect
819. #398	C₂×D₇₃	semidirect
837. #395	C₂×D₇₃	semidirect
845. #393	C₂×D₇₃	semidirect
849. #391	C₂×D₇₃	semidirect
879. #387	C₂×D₇₃	semidirect
925. #380	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22618222	2
#22618215	2
#22617703	2
#22617568	2
#22617433	2
#22617359	2
#22617351	2
#22617348	2
#22617268	2
#22617119	2
#22617011	2
#22616909	2
#22616774	2
#22616767	2
#22616512	2
#22616348	2
#22616211	2
#22615749	2
#22615716	2
#22615085	2
#22614819	2
#22614315	2
#22614250	2
#22614180	2
#22614063	2
#22613626	2
#22613378	2
#22612663	2
#22612566	2
#385×D₇₃	2
C₇₃×#2692	2
#36778	73