Subgroups — #33255796

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22614781	C₂	1	1	yes	maximal, characteristic, complemented
2	#22614766	C₂	1	1	yes	maximal, characteristic, complemented
3	#22614721	C₂	1	1	yes	maximal, characteristic, complemented
4	#22614706	C₂	1	1	yes	maximal, characteristic, complemented
5	#22614656	C₂	1	1	yes	maximal, characteristic, complemented
6	#22614641	C₂	1	1	yes	maximal, characteristic, complemented
7	#22614572	C₂	1	1	yes	maximal, characteristic, complemented
8	#22614557	C₂	1	1	yes	maximal, characteristic, complemented
9	#22614432	C₂	1	1	yes	maximal, characteristic, complemented
10	#22614373	C₂	1	1	yes	maximal, characteristic, complemented
11	#22614204	C₂	1	1	yes	maximal, characteristic, complemented
12	#22614177	C₂	1	1	yes	maximal, characteristic, complemented
13	#22614059	C₂	1	1	yes	maximal, characteristic
14	#22613613	C₂	1	1	yes	maximal, characteristic, complemented
15	#22613319	C₂	1	1	yes	maximal, characteristic
16	#22613234	C₂	1	1	yes	maximal, characteristic, complemented
17	#22613204	C₂	1	1	yes	maximal, characteristic, complemented
18	#22613193	C₂	1	1	yes	maximal, characteristic, complemented
19	#22613189	C₂	1	1	yes	maximal, characteristic, complemented
20	#22612479	C₂	1	1	yes	maximal, characteristic, complemented
21	#22612472	C₂	1	1	yes	maximal, characteristic, complemented
22	#22612463	C₂	1	1	yes	maximal, characteristic, complemented
23	#22612456	C₂	1	1	yes	maximal, characteristic, complemented
24	#22612436	C₂	1	1	yes	maximal, characteristic
25	#22612423	C₂	1	1	yes	maximal, characteristic, complemented
26	#22612391	C₂	1	1	yes	maximal, characteristic, complemented
27	#22612371	C₂	1	1	yes	maximal, characteristic, complemented
28	#22612313	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#14556547	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#17988434	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#2510	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic
33	C₂×#14556585	C₂²	1	1	yes	characteristic
34	C₂×#14556577	C₂²	1	1	yes	characteristic
35	C₂×#14556572	C₂²	1	1	yes	characteristic
36	C₂×#14556568	C₂²	1	1	yes	characteristic
37	C₂×#14556559	C₂²	1	1	yes	characteristic
38	C₂×#14556556	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic
40	C₂×#14556551	C₂²	1	1	yes	characteristic
41	C₂×#14556551	C₂²	1	1	yes	characteristic
42	C₂×#14556549	C₂²	1	1	yes	characteristic
43	C₂×#14556549	C₂²	1	1	yes	characteristic
44	C₂×#14556547	C₂²	1	1	yes	characteristic
45	C₂×#14556547	C₂²	1	1	yes	characteristic
46	C₂×#14556547	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#11924005	C₂²	1	1	yes	characteristic
48	C₂²×#11924005	C₂²	1	1	yes	characteristic
49	C₂²×C₄×Dic₇₃	C₂²	1	1	yes	characteristic
50	C₂²×C₄×Dic₇₃	C₂²	1	1	yes	characteristic
51	#17988528	C₂²	1	1	yes	characteristic, complemented
52	#17988528	C₂²	1	1	yes	characteristic, complemented
53	#17988528	C₂²	1	1	yes	characteristic, complemented
54	#17988528	C₂²	1	1	yes	characteristic, complemented
55	#17988527	C₂²	1	1	yes	characteristic, complemented
56	#17988523	C₂²	1	1	yes	characteristic, complemented
57	#17988522	C₂²	1	1	yes	characteristic
58	#17988522	C₂²	1	1	yes	characteristic
59	#17988521	C₂²	1	1	yes	characteristic, complemented
60	#17988521	C₂²	1	1	yes	characteristic, complemented
61	#17988521	C₂²	1	1	yes	characteristic, complemented
62	#17988518	C₂²	1	1	yes	characteristic, complemented
63	#17988516	C₂²	1	1	yes	characteristic
64	#17988516	C₂²	1	1	yes	characteristic
65	#17988516	C₂²	1	1	yes	characteristic
66	#17988516	C₂²	1	1	yes	characteristic
67	#17988516	C₂²	1	1	yes	characteristic
68	#17988516	C₂²	1	1	yes	characteristic
69	#17988515	C₂²	1	1	yes	characteristic, complemented
70	#17988511	C₂²	1	1	yes	characteristic
71	#17988511	C₂²	1	1	yes	characteristic
72	#17988511	C₂²	1	1	yes	characteristic
73	#17988507	C₂²	1	1	yes	characteristic, complemented
74	#17988503	C₂²	1	1	yes	characteristic
75	#17988502	C₂²	1	1	yes	characteristic
76	#17988502	C₂²	1	1	yes	characteristic
77	#17988502	C₂²	1	1	yes	characteristic
78	#17988500	C₂²	1	1	yes	characteristic
79	#17988491	C₂²	1	1	yes	characteristic, complemented
80	#17988491	C₂²	1	1	yes	characteristic, complemented
81	#17988487	C₂²	1	1	yes	characteristic
82	#17988487	C₂²	1	1	yes	characteristic
83	#17988487	C₂²	1	1	yes	characteristic
84	#17988484	C₂²	1	1	yes	characteristic, complemented
85	#17988482	C₂²	1	1	yes	characteristic, complemented
86	#17988482	C₂²	1	1	yes	characteristic, complemented
87	#17988481	C₂²	1	1	yes	characteristic, complemented
88	#17988481	C₂²	1	1	yes	characteristic, complemented
89	#17988481	C₂²	1	1	yes	characteristic, complemented
90	#17988481	C₂²	1	1	yes	characteristic, complemented
91	#17988480	C₂²	1	1	yes	characteristic, complemented
92	#17988479	C₂²	1	1	yes	characteristic
93	#17988478	C₂²	1	1	yes	characteristic
94	#17988478	C₂²	1	1	yes	characteristic
95	#17988478	C₂²	1	1	yes	characteristic
96	#17988477	C₂²	1	1	yes	characteristic
97	#17988477	C₂²	1	1	yes	characteristic
98	#17988476	C₂²	1	1	yes	characteristic
99	#17988476	C₂²	1	1	yes	characteristic
100	#17988476	C₂²	1	1	yes	characteristic
101	#17988476	C₂²	1	1	yes	characteristic
102	#17988476	C₂²	1	1	yes	characteristic
103	#17988475	C₂²	1	1	yes	characteristic, complemented
104	#17988474	C₂²	1	1	yes	characteristic, complemented
105	#17988474	C₂²	1	1	yes	characteristic, complemented
106	#17988473	C₂²	1	1	yes	characteristic, complemented
107	#17988472	C₂²	1	1	yes	characteristic, complemented
108	#17988472	C₂²	1	1	yes	characteristic, complemented
109	#17988472	C₂²	1	1	yes	characteristic, complemented
110	#17988470	C₂²	1	1	yes	characteristic, complemented
111	#17988470	C₂²	1	1	yes	characteristic, complemented
112	#17988469	C₂²	1	1	yes	characteristic, complemented
113	#17988469	C₂²	1	1	yes	characteristic, complemented
114	#17988469	C₂²	1	1	yes	characteristic, complemented
115	#17988468	C₂²	1	1	yes	characteristic, complemented
116	#17988467	C₂²	1	1	yes	characteristic
117	#17988463	C₂²	1	1	yes	characteristic
118	#17988463	C₂²	1	1	yes	characteristic
119	#17988461	C₂²	1	1	yes	characteristic
120	#17988461	C₂²	1	1	yes	characteristic
121	#17988460	C₂²	1	1	yes	characteristic
122	#17988460	C₂²	1	1	yes	characteristic
123	#17988460	C₂²	1	1	yes	characteristic
124	#17988460	C₂²	1	1	yes	characteristic
125	#17988459	C₂²	1	1	yes	characteristic
126	#17988451	C₂²	1	1	yes	characteristic, complemented
127	#17988449	C₂²	1	1	yes	characteristic
128	#17988449	C₂²	1	1	yes	characteristic
129	#17988448	C₂²	1	1	yes	characteristic
130	#17988447	C₂²	1	1	yes	characteristic
131	#17988445	C₂²	1	1	yes	characteristic
132	#17988444	C₂²	1	1	yes	characteristic
133	#17988444	C₂²	1	1	yes	characteristic
134	#17988442	C₂²	1	1	yes	characteristic
135	#17988442	C₂²	1	1	yes	characteristic
136	#17988442	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
138	C₄×#11924007	C₂²	1	1	yes	characteristic, complemented
139	C₄×#11924007	C₂²	1	1	yes	characteristic, complemented
140	#17988438	C₂²	1	1	yes	characteristic, complemented
141	#17988438	C₂²	1	1	yes	characteristic, complemented
142	#17988438	C₂²	1	1	yes	characteristic, complemented
143	#17988438	C₂²	1	1	yes	characteristic, complemented
144	#17988438	C₂²	1	1	yes	characteristic, complemented
145	#17988438	C₂²	1	1	yes	characteristic, complemented
146	#17988438	C₂²	1	1	yes	characteristic, complemented
147	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
152	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
154	#17988434	C₂²	1	1	yes	characteristic
155	#17988434	C₂²	1	1	yes	characteristic
156	#17988434	C₂²	1	1	yes	characteristic
157	#17988434	C₂²	1	1	yes	characteristic
158	#17988434	C₂²	1	1	yes	characteristic
159	#17988434	C₂²	1	1	yes	characteristic
160	#17988434	C₂²	1	1	yes	characteristic
161	#17988434	C₂²	1	1	yes	characteristic
162	#17988434	C₂²	1	1	yes	characteristic
163	#17988434	C₂²	1	1	yes	characteristic
164	#17988434	C₂²	1	1	yes	characteristic
165	#17988434	C₂²	1	1	yes	characteristic
166	#17988432	C₂²	1	1	yes	characteristic, complemented
167	#17988432	C₂²	1	1	yes	characteristic, complemented
168	#17988432	C₂²	1	1	yes	characteristic, complemented
169	C₂×#14556498	C₂²	1	1	yes	characteristic
170	C₄²×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
171	C₄²×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
172	#401×C₇₃	C₂²	1	1	yes	characteristic, complemented
173	#400×C₇₃	C₂²	1	1	yes	characteristic, complemented
174	#397×C₇₃	C₂²	1	1	yes	characteristic, complemented
175	#397×C₇₃	C₂²	1	1	yes	characteristic, complemented
176	#388×C₇₃	C₂²	1	1	yes	characteristic, complemented
177	#388×C₇₃	C₂²	1	1	yes	characteristic, complemented
178	#387×C₇₃	C₂²	1	1	yes	characteristic, complemented
179	#386×C₇₃	C₂²	1	1	yes	characteristic
180	#386×C₇₃	C₂²	1	1	yes	characteristic
181	#386×C₇₃	C₂²	1	1	yes	characteristic
182	#385×C₇₃	C₂²	1	1	yes	characteristic
183	#383×C₇₃	C₂²	1	1	yes	characteristic, complemented
184	#380×C₇₃	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
186	C₂×#95×C₇₃	C₂²	1	1	yes	characteristic
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	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇₃	—	2	4	no	—
196	C₂²×C₄×D₇₃	—	2	4	no	—
197	C₂²×C₄×D₇₃	—	4	2	no	—
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	#14556585	—	2	4	no	—
203	#14556577	—	2	4	no	—
204	#14556572	—	2	4	no	—
205	#14556568	—	2	4	no	—
206	#14556559	—	2	4	no	—
207	#14556556	—	4	2	no	—
208	D₄×Dic₇₃	—	2	4	no	—
209	#14556551	—	2	4	no	—
210	#14556551	—	4	2	no	—
211	#14556549	—	2	4	no	—
212	#14556549	—	4	2	no	—
213	#14556547	—	2	4	no	—
214	#14556547	—	2	4	no	—
215	#14556547	—	4	2	no	—
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×#11924007	C₂³	1	1	yes	characteristic
221	C₂×#11924007	C₂³	1	1	yes	characteristic
222	C₂×#11924007	C₂³	1	1	yes	characteristic
223	C₂×#11924007	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×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×#11924005	—	2	4	no	—
250	C₂×#11924005	—	2	4	no	—
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×C₄×Dic₇₃	—	2	4	no	—
274	C₂×C₄×Dic₇₃	—	4	2	no	—
275	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
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	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	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₇₃	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	#14556498	C₂³	1	1	yes	characteristic
327	#14556498	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	C₂³×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×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊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×C₄²×C₇₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
347	#95×C₇₃	C₂³	1	1	yes	characteristic
348	#95×C₇₃	C₂³	1	1	yes	characteristic
349	#95×C₇₃	C₂³	1	1	yes	characteristic
350	#95×C₇₃	C₂³	1	1	yes	characteristic
351	#95×C₇₃	C₂³	1	1	yes	characteristic
352	#95×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	—	2	2	no	—
373	C₂×Dic₁₄₆	—	2	2	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	—	2	2	no	—
382	C₂²×Dic₇₃	—	2	2	no	—
383	C₂²×Dic₇₃	—	2	2	no	—
384	C₂²×Dic₇₃	—	2	2	no	—
385	C₂²×Dic₇₃	—	2	2	no	—
386	C₂²×Dic₇₃	—	2	2	no	—
387	C₂²×Dic₇₃	—	2	2	no	—
388	C₂²×Dic₇₃	—	2	2	no	—
389	C₂²×Dic₇₃	—	2	2	no	—
390	C₂²×Dic₇₃	—	4	1	no	—
391	C₂²×Dic₇₃	#41	1	4	yes	—
392	C₂²×Dic₇₃	#41	1	4	yes	—
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	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₇₃	—	2	2	no	—
408	C₂×C₄×D₇₃	—	2	2	no	—
409	C₂×C₄×D₇₃	—	2	2	no	—
410	C₂×C₄×D₇₃	—	2	2	no	—
411	C₂×C₄×D₇₃	—	2	2	no	—
412	C₂×C₄×D₇₃	—	2	2	no	—
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	—	4	16	no	—
417	C₂×C₄×D₇₃	—	4	1	no	—
418	C₂×C₄×D₇₃	—	4	1	no	—
419	C₂×C₄×D₇₃	#41	1	4	yes	—
420	C₄⋊Dic₇₃	—	2	2	no	—
421	C₄⋊Dic₇₃	—	2	2	no	—
422	C₄⋊Dic₇₃	—	2	2	no	—
423	C₄⋊Dic₇₃	—	4	1	no	—
424	#11924007	—	2	2	no	—
425	#11924007	—	2	2	no	—
426	#11924007	—	2	2	no	—
427	#11924007	—	2	2	no	—
428	#11924007	—	2	2	no	—
429	#11924007	—	2	2	no	—
430	#11924007	—	2	2	no	—
431	#11924007	—	2	2	no	—
432	#11924007	—	2	2	no	—
433	#11924007	—	2	2	no	—
434	#11924007	—	2	2	no	—
435	#11924007	—	2	2	no	—
436	#11924007	—	4	1	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	C₂²⋊Dic₇₃	—	2	2	no	—
445	C₂²⋊Dic₇₃	—	2	2	no	—
446	C₂²⋊Dic₇₃	—	2	2	no	—
447	C₂²⋊Dic₇₃	—	2	2	no	—
448	C₂²⋊Dic₇₃	—	2	2	no	—
449	C₂²⋊Dic₇₃	—	2	2	no	—
450	C₂²⋊Dic₇₃	—	2	2	no	—
451	C₂²⋊Dic₇₃	—	4	1	no	—
452	C₂²⋊Dic₇₃	#41	1	4	yes	—
453	#11924005	—	2	2	no	—
454	#11924005	—	2	2	no	—
455	#11924005	—	2	2	no	—
456	#11924005	—	2	2	no	—
457	#11924005	—	2	2	no	—
458	#11924005	—	2	2	no	—
459	#11924005	—	2	2	no	—
460	#11924005	—	2	2	no	—
461	#11924005	—	2	2	no	—
462	#11924005	—	2	2	no	—
463	#11924005	—	2	2	no	—
464	#11924005	—	2	2	no	—
465	#11924005	—	2	2	no	—
466	#11924005	—	2	2	no	—
467	#11924005	—	2	2	no	—
468	#11924005	—	4	1	no	—
469	#11924005	—	4	1	no	—
470	#11924005	—	4	1	no	—
471	#11924005	—	4	1	no	—
472	#11924005	—	4	1	no	—
473	#11924005	—	4	1	no	—
474	#11924005	#41	1	4	yes	—
475	C₄×Dic₇₃	—	2	2	no	—
476	C₄×Dic₇₃	—	2	2	no	—
477	C₄×Dic₇₃	—	2	2	no	—
478	C₄×Dic₇₃	—	2	2	no	—
479	C₄×Dic₇₃	—	2	2	no	—
480	C₄×Dic₇₃	—	2	2	no	—
481	C₄×Dic₇₃	—	2	2	no	—
482	C₄×Dic₇₃	—	2	2	no	—
483	C₄×Dic₇₃	—	2	2	no	—
484	C₄×Dic₇₃	—	2	2	no	—
485	C₄×Dic₇₃	—	2	2	no	—
486	C₄×Dic₇₃	—	2	2	no	—
487	C₄×Dic₇₃	—	2	2	no	—
488	C₄×Dic₇₃	—	2	2	no	—
489	C₄×Dic₇₃	—	2	2	no	—
490	C₄×Dic₇₃	—	2	2	no	—
491	C₄×Dic₇₃	—	2	2	no	—
492	C₄×Dic₇₃	—	2	2	no	—
493	C₄×Dic₇₃	—	4	1	no	—
494	C₄×Dic₇₃	—	4	1	no	—
495	C₄×Dic₇₃	—	4	1	no	—
496	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
497	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₇₃	—	2	2	no	—
499	C₂×D₄×C₇₃	—	2	2	no	—
500	C₂×D₄×C₇₃	—	2	2	no	—
501	C₂²×C₄×C₇₃	—	2	2	no	—
502	C₂²×C₄×C₇₃	—	2	2	no	—
503	C₂²×C₄×C₇₃	—	2	2	no	—
504	C₂²×C₄×C₇₃	—	2	2	no	—
505	C₂²×C₄×C₇₃	—	2	2	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	—	4	1	no	—
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	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
523	C₄⋊C₄×C₇₃	—	2	2	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	—	2	2	no	—
530	C₂²⋊C₄×C₇₃	—	2	2	no	—
531	C₂²⋊C₄×C₇₃	—	2	2	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	C₄²×C₇₃	—	2	2	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	C₂×#41	1	2	yes	—
550	C₂³×C₇₃	C₂×#41	1	2	yes	—
551	C₂³×C₇₃	C₂×#41	1	2	yes	—
552	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
553	C₂²×D₇₃	—	2	8	no	—
554	C₂²×D₇₃	—	2	1	no	—
555	C₂²×D₇₃	—	2	1	no	—
556	C₂²×D₇₃	—	2	1	no	—
557	C₂²×D₇₃	—	2	1	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	—	2	1	no	—
565	C₂²×D₇₃	—	2	1	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	—	4	4	no	—
571	C₂²×D₇₃	—	4	4	no	—
572	C₂²×D₇₃	C₂×#41	1	2	yes	—
573	C₂²×D₇₃	C₂×#41	1	2	yes	—
574	D₄×C₇₃	—	4	4	no	—
575	C₂×C₄×C₇₃	—	2	1	no	—
576	C₂×C₄×C₇₃	—	2	1	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	—	4	4	no	—
613	C₂×C₄×C₇₃	—	4	4	no	—
614	C₂×C₄×C₇₃	—	4	4	no	—
615	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
616	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
617	C₂²⋊D₇₃	—	4	4	no	—
618	C₂²⋊D₇₃	—	4	4	no	—
619	C₂×Dic₇₃	—	2	8	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	8	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	—	4	4	no	—
655	C₂×Dic₇₃	—	4	4	no	—
656	C₂×Dic₇₃	C₂×#41	1	2	yes	—
657	C₂×Dic₇₃	C₂×#41	1	2	yes	—
658	C₂×Dic₇₃	C₂×#41	1	2	yes	—
659	C₂×Dic₇₃	C₂×#41	1	2	yes	—
660	C₂×Dic₇₃	C₂×#41	1	2	yes	—
661	C₂×Dic₇₃	C₂×#41	1	2	yes	—
662	C₂×Dic₇₃	C₂×#41	1	2	yes	—
663	C₂×Dic₇₃	C₂×#41	1	2	yes	—
664	C₂×Dic₇₃	H(5,𝔽₂)	1	2	yes	—
665	C₄×D₇₃	—	2	8	no	—
666	C₄×D₇₃	—	4	4	no	—
667	C₄×D₇₃	—	4	4	no	—
668	C₄×D₇₃	—	4	4	no	—
669	Dic₁₄₆	—	4	4	no	—
670	C₂²×C₇₃	—	2	2	no	—
671	C₂²×C₇₃	—	2	2	no	—
672	C₂²×C₇₃	—	2	2	no	—
673	C₂²×C₇₃	—	2	2	no	—
674	C₂²×C₇₃	—	2	2	no	—
675	C₂²×C₇₃	—	2	2	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	#529	1	4	yes	—
684	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
685	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
686	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
687	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
688	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
689	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
690	C₂²×C₇₃	#585	1	1	yes	characteristic
691	C₂×D₇₃	—	2	2	no	—
692	C₂×D₇₃	—	2	2	no	—
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	—	4	16	no	—
698	C₂×D₇₃	—	4	1	no	—
699	C₂×D₇₃	—	4	1	no	—
700	C₂×D₇₃	—	4	1	no	—
701	C₂×D₇₃	—	4	1	no	—
702	C₂×D₇₃	—	4	1	no	—
703	C₂×D₇₃	—	4	1	no	—
704	C₂×D₇₃	—	4	1	no	—
705	C₂×D₇₃	—	4	1	no	—
706	C₄×C₇₃	—	2	2	no	—
707	C₄×C₇₃	—	2	2	no	—
708	C₄×C₇₃	—	4	1	no	—
709	C₄×C₇₃	—	4	1	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	Dic₇₃	—	2	2	no	—
720	Dic₇₃	—	2	2	no	—
721	Dic₇₃	—	2	2	no	—
722	Dic₇₃	—	2	2	no	—
723	Dic₇₃	—	2	2	no	—
724	Dic₇₃	—	2	2	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	#551	1	4	yes	—
733	#34806	—	73	1	no	maximal, Sylow
734	C₂×C₇₃	—	2	4	no	—
735	C₂×C₇₃	—	8	1	no	—
736	C₂×C₇₃	C₂×#529	1	1	yes	characteristic
737	C₂×C₇₃	#3444	1	1	yes	characteristic
738	C₂×C₇₃	#3460	1	1	yes	characteristic
739	C₂×C₇₃	C₂×#551	1	1	yes	characteristic
740	C₂×C₇₃	#3475	1	1	yes	characteristic
741	C₂×C₇₃	#3475	1	1	yes	characteristic
742	C₂×C₇₃	#3481	1	1	yes	characteristic
743	D₇₃	—	4	2	no	—
744	D₇₃	—	4	2	no	—
745	#2531	—	73	1	no	—
746	#2530	—	73	1	no	—
747	#2527	—	73	1	no	—
748	#2526	—	73	1	no	—
749	#2522	—	73	1	no	—
750	#2521	—	73	1	no	—
751	#2516	—	73	1	no	—
752	#2515	—	73	1	no	—
753	#2510	D₇₃	1	1	yes	characteristic, complemented
754	#2505	—	73	1	no	—
755	#2498	—	73	1	no	—
756	#2482	—	73	1	no	—
757	#2480	—	73	1	no	—
758	#2472	—	73	1	no	—
759	#2438	—	73	1	no	—
760	#2411	—	73	1	no	—
761	#2401	—	73	1	no	—
762	#2396	—	73	1	no	—
763	#2395	—	73	1	no	—
764	#2395	—	73	1	no	—
765	C₄×#126	—	73	1	no	—
766	C₄×#124	—	73	1	no	—
767	C₄×C₂²⋊Q₈	—	73	1	no	—
768	C₄×#123	—	73	1	no	—
769	C₄×#120	—	73	1	no	—
770	#2298	—	73	1	no	—
771	#2293	—	73	1	no	—
772	#2290	—	73	1	no	—
773	#2280	—	73	1	no	—
774	C₄×#117	—	73	1	no	—
775	C₂×C₄×C₂²⋊C₄	—	73	1	no	—
776	C₇₃	#34806	1	1	yes	characteristic, complemented, Sylow
777	C₂⁴×C₄	—	73	1	no	—
778	C₂×#126	—	73	1	no	—
779	C₂×#124	—	73	1	no	—
780	C₂×#123	—	73	1	no	—
781	C₂×C₂²⋊Q₈	—	73	1	no	—
782	C₂×#120	—	73	1	no	—
783	C₂×C₄×Q₈	—	73	1	no	—
784	C₂×C₄×D₄	—	73	1	no	—
785	C₂×C₄×D₄	—	73	1	no	—
786	C₂×C₄×D₄	—	73	1	no	—
787	C₂×#117	—	73	1	no	—
788	C₂×#117	—	73	1	no	—
789	C₂×#117	—	73	1	no	—
790	C₂×#117	—	73	1	no	—
791	C₂×#117	—	73	1	no	—
792	C₂²×C₂²⋊C₄	—	73	1	no	—
793	C₂²×C₂²⋊C₄	—	73	1	no	—
794	C₂²×C₄²	—	73	1	no	—
795	C₂²×C₄²	—	73	1	no	—
796	#401	C₂×D₇₃	1	1	yes	characteristic, complemented
797	#400	—	73	1	no	—
798	#400	—	73	1	no	—
799	#400	—	73	1	no	—
800	#400	—	73	1	no	—
801	#400	—	73	1	no	—
802	#400	C₂×D₇₃	1	1	yes	characteristic, complemented
803	#399	—	73	1	no	—
804	#399	—	73	1	no	—
805	#399	—	73	1	no	—
806	#398	—	73	1	no	—
807	#398	—	73	1	no	—
808	#398	—	73	1	no	—
809	#398	—	73	1	no	—
810	#397	—	73	1	no	—
811	#397	—	73	1	no	—
812	#397	—	73	1	no	—
813	#397	—	73	1	no	—
814	#397	—	73	1	no	—
815	#397	—	73	1	no	—
816	#397	—	73	1	no	—
817	#397	C₂×D₇₃	1	1	yes	characteristic, complemented
818	#397	C₂×D₇₃	1	1	yes	characteristic, complemented
819	#396	—	73	1	no	—
820	#396	—	73	1	no	—
821	#396	—	73	1	no	—
822	#395	—	73	1	no	—
823	#394	—	73	1	no	—
824	#394	—	73	1	no	—
825	#394	—	73	1	no	—
826	#394	—	73	1	no	—
827	#393	—	73	1	no	—
828	#391	—	73	1	no	—
829	#391	—	73	1	no	—
830	#390	—	73	1	no	—
831	#390	—	73	1	no	—
832	#390	—	73	1	no	—
833	#389	—	73	1	no	—
834	#389	—	73	1	no	—
835	#389	—	73	1	no	—
836	#388	—	73	1	no	—
837	#388	—	73	1	no	—
838	#388	—	73	1	no	—
839	#388	—	73	1	no	—
840	#388	—	73	1	no	—
841	#388	—	73	1	no	—
842	#388	—	73	1	no	—
843	#388	—	73	1	no	—
844	#388	—	73	1	no	—
845	#388	—	73	1	no	—
846	#388	—	73	1	no	—
847	#388	—	73	1	no	—
848	#388	—	73	1	no	—
849	#388	—	73	1	no	—
850	#388	—	73	1	no	—
851	#388	—	73	1	no	—
852	#388	—	73	1	no	—
853	#388	C₂×D₇₃	1	1	yes	characteristic, complemented
854	#388	C₂×D₇₃	1	1	yes	characteristic, complemented
855	#387	—	73	1	no	—
856	#387	—	73	1	no	—
857	#387	—	73	1	no	—
858	#387	—	73	1	no	—
859	#387	—	73	1	no	—
860	#387	—	73	1	no	—
861	#387	—	73	1	no	—
862	#387	—	73	1	no	—
863	#387	—	73	1	no	—
864	#387	—	73	1	no	—
865	#387	—	73	1	no	—
866	#387	—	73	1	no	—
867	#387	C₂×D₇₃	1	1	yes	characteristic, complemented
868	#386	—	73	1	no	—
869	#386	—	73	1	no	—
870	#386	—	73	1	no	—
871	#386	C₂×D₇₃	1	1	yes	characteristic
872	#386	C₂×D₇₃	1	1	yes	characteristic
873	#386	C₂×D₇₃	1	1	yes	characteristic
874	#385	—	73	1	no	—
875	#385	—	73	1	no	—
876	#385	—	73	1	no	—
877	#385	—	73	1	no	—
878	#385	—	73	1	no	—
879	#385	—	73	1	no	—
880	#385	—	73	1	no	—
881	#385	C₂×D₇₃	1	1	yes	characteristic
882	#383	C₂×D₇₃	1	1	yes	characteristic, complemented
883	#382	—	73	1	no	—
884	#381	—	73	1	no	—
885	#381	—	73	1	no	—
886	#381	—	73	1	no	—
887	#380	—	73	1	no	—
888	#380	—	73	1	no	—
889	#380	—	73	1	no	—
890	#380	—	73	1	no	—
891	#380	C₂×D₇₃	1	1	yes	characteristic
892	#379	—	73	1	no	—
893	#379	—	73	1	no	—
894	#379	—	73	1	no	—
895	C₄×C₄⋊C₄	—	73	1	no	—
896	C₄×C₄⋊C₄	—	73	1	no	—
897	C₄×C₄⋊C₄	—	73	1	no	—
898	C₄×C₄⋊C₄	—	73	1	no	—
899	C₄×C₄⋊C₄	—	73	1	no	—
900	C₄×C₄⋊C₄	—	73	1	no	—
901	C₄×C₄⋊C₄	—	73	1	no	—
902	C₄×C₄⋊C₄	—	73	1	no	—
903	C₄×C₄⋊C₄	—	73	1	no	—
904	C₄×C₄⋊C₄	—	73	1	no	—
905	C₄×C₂²⋊C₄	—	73	1	no	—
906	C₄×C₂²⋊C₄	—	73	1	no	—
907	C₄×C₂²⋊C₄	—	73	1	no	—
908	C₄×C₂²⋊C₄	—	73	1	no	—
909	C₄×C₂²⋊C₄	—	73	1	no	—
910	C₄×C₂²⋊C₄	—	73	1	no	—
911	C₄×C₂²⋊C₄	—	73	1	no	—
912	C₄×C₂²⋊C₄	—	73	1	no	—
913	C₄×C₂²⋊C₄	—	73	1	no	—
914	C₄×C₂²⋊C₄	—	73	1	no	—
915	C₄×C₂²⋊C₄	—	73	1	no	—
916	C₄×C₂²⋊C₄	—	73	1	no	—
917	C₄×C₂²⋊C₄	—	73	1	no	—
918	C₄×C₂²⋊C₄	—	73	1	no	—
919	C₄×C₂²⋊C₄	—	73	1	no	—
920	C₄×C₂²⋊C₄	—	73	1	no	—
921	C₄×C₂²⋊C₄	—	73	1	no	—
922	C₄×C₂²⋊C₄	—	73	1	no	—
923	C₄×C₂²⋊C₄	—	73	1	no	—
924	C₄×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
925	#376	—	73	1	no	—
926	#376	—	73	1	no	—
927	#376	—	73	1	no	—
928	C₂×#95	—	73	1	no	—
929	C₂×#95	C₂×D₇₃	1	1	yes	characteristic
930	C₄³	—	73	1	no	—
931	C₄³	—	73	1	no	—
932	C₂⁵	—	73	1	no	—
933	C₂²×Q₈	—	73	1	no	—
934	C₂²×D₄	—	73	1	no	—
935	C₂²×D₄	—	73	1	no	—
936	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
937	C₂³×C₄	—	292	2	no	—
938	C₂³×C₄	—	73	1	no	—
939	C₂³×C₄	—	73	1	no	—
940	C₂³×C₄	—	73	1	no	—
941	C₂³×C₄	—	73	1	no	—
942	C₂³×C₄	—	73	1	no	—
943	C₂³×C₄	—	73	1	no	—
944	C₂³×C₄	—	73	1	no	—
945	C₂³×C₄	—	73	1	no	—
946	C₂³×C₄	—	146	4	no	—
947	C₂³×C₄	—	146	4	no	—
948	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
949	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
950	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
951	#126	—	146	4	no	—
952	#124	—	146	4	no	—
953	#123	—	146	4	no	—
954	C₂²⋊Q₈	—	146	4	no	—
955	#120	—	146	4	no	—
956	C₄×Q₈	—	292	2	no	—
957	C₄×D₄	—	292	2	no	—
958	C₄×D₄	—	146	4	no	—
959	C₄×D₄	—	146	4	no	—
960	#117	—	292	2	no	—
961	#117	—	292	2	no	—
962	#117	—	146	4	no	—
963	#117	—	146	4	no	—
964	#117	—	146	4	no	—
965	C₂×C₄⋊C₄	—	73	1	no	—
966	C₂×C₄⋊C₄	—	73	1	no	—
967	C₂×C₄⋊C₄	—	73	1	no	—
968	C₂×C₄⋊C₄	—	73	1	no	—
969	C₂×C₄⋊C₄	—	73	1	no	—
970	C₂×C₄⋊C₄	—	73	1	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	C₂²×D₇₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	—	73	1	no	—
994	C₂×C₂²⋊C₄	—	73	1	no	—
995	C₂×C₂²⋊C₄	—	73	1	no	—
996	C₂×C₂²⋊C₄	—	73	1	no	—
997	C₂×C₂²⋊C₄	—	73	1	no	—
998	C₂×C₂²⋊C₄	—	73	1	no	—
999	C₂×C₂²⋊C₄	—	73	1	no	—
1000	C₂×C₂²⋊C₄	—	73	1	no	—
1001	C₂×C₂²⋊C₄	—	73	1	no	—
1002	C₂×C₂²⋊C₄	—	73	1	no	—
1003	C₂×C₂²⋊C₄	—	73	1	no	—
1004	C₂×C₂²⋊C₄	—	73	1	no	—
1005	C₂×C₂²⋊C₄	—	73	1	no	—
1006	C₂×C₂²⋊C₄	—	73	1	no	—
1007	C₂×C₂²⋊C₄	—	73	1	no	—
1008	C₂×C₂²⋊C₄	—	73	1	no	—
1009	C₂×C₂²⋊C₄	—	73	1	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	—	146	4	no	—
1025	C₂×C₂²⋊C₄	—	146	4	no	—
1026	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1035	C₂×C₄²	—	292	2	no	—
1036	C₂×C₄²	—	73	1	no	—
1037	C₂×C₄²	—	73	1	no	—
1038	C₂×C₄²	—	73	1	no	—
1039	C₂×C₄²	—	73	1	no	—
1040	C₂×C₄²	—	73	1	no	—
1041	C₂×C₄²	—	73	1	no	—
1042	C₂×C₄²	—	73	1	no	—
1043	C₂×C₄²	—	73	1	no	—
1044	C₂×C₄²	—	73	1	no	—
1045	C₂×C₄²	—	73	1	no	—
1046	C₂×C₄²	—	73	1	no	—
1047	C₂×C₄²	—	73	1	no	—
1048	C₂×C₄²	—	73	1	no	—
1049	C₂×C₄²	—	73	1	no	—
1050	C₂×C₄²	—	73	1	no	—
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	—	146	4	no	—
1058	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1059	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
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	C₂²×D₇₃	1	1	yes	characteristic
1093	#95	C₂²×D₇₃	1	1	yes	characteristic
1094	#95	C₂²×D₇₃	1	1	yes	characteristic
1095	#95	C₂²×D₇₃	1	1	yes	characteristic
1096	#95	C₂²×D₇₃	1	1	yes	characteristic
1097	#95	C₂²×D₇₃	1	1	yes	characteristic
1098	#95	C₂²×D₇₃	1	1	yes	characteristic
1099	#95	C₂²×D₇₃	1	1	yes	characteristic
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	C₂⁴	—	292	1	no	—
1109	C₂⁴	—	292	1	no	—
1110	C₂⁴	—	73	1	no	—
1111	C₂⁴	—	73	1	no	—
1112	C₂⁴	—	146	2	no	—
1113	C₂⁴	—	146	2	no	—
1114	C₂⁴	—	146	2	no	—
1115	C₂⁴	—	146	2	no	—
1116	C₂⁴	—	146	2	no	—
1117	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1118	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1119	C₂×Q₈	—	292	1	no	—
1120	C₂×Q₈	—	146	2	no	—
1121	C₂×Q₈	—	146	2	no	—
1122	C₂×D₄	—	2	2	no	—
1123	C₂×D₄	—	2	2	no	—
1124	C₂×D₄	—	2	2	no	—
1125	C₂×D₄	—	292	1	no	—
1126	C₂×D₄	—	292	1	no	—
1127	C₂×D₄	—	146	2	no	—
1128	C₂×D₄	—	146	2	no	—
1129	C₂×D₄	—	146	2	no	—
1130	C₂×D₄	—	146	2	no	—
1131	C₂²×C₄	—	2	2	no	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	292	1	no	—
1141	C₂²×C₄	—	292	1	no	—
1142	C₂²×C₄	—	292	16	no	—
1143	C₂²×C₄	—	292	1	no	—
1144	C₂²×C₄	—	73	1	no	—
1145	C₂²×C₄	—	73	4	no	—
1146	C₂²×C₄	—	73	4	no	—
1147	C₂²×C₄	—	73	1	no	—
1148	C₂²×C₄	—	73	1	no	—
1149	C₂²×C₄	—	73	1	no	—
1150	C₂²×C₄	—	73	1	no	—
1151	C₂²×C₄	—	73	1	no	—
1152	C₂²×C₄	—	73	1	no	—
1153	C₂²×C₄	—	73	4	no	—
1154	C₂²×C₄	—	73	1	no	—
1155	C₂²×C₄	—	73	1	no	—
1156	C₂²×C₄	—	73	1	no	—
1157	C₂²×C₄	—	73	1	no	—
1158	C₂²×C₄	—	73	1	no	—
1159	C₂²×C₄	—	73	1	no	—
1160	C₂²×C₄	—	73	1	no	—
1161	C₂²×C₄	—	146	2	no	—
1162	C₂²×C₄	—	146	2	no	—
1163	C₂²×C₄	—	146	2	no	—
1164	C₂²×C₄	—	146	2	no	—
1165	C₂²×C₄	—	146	2	no	—
1166	C₂²×C₄	—	146	2	no	—
1167	C₂²×C₄	—	146	2	no	—
1168	C₂²×C₄	—	146	2	no	—
1169	C₂²×C₄	—	146	2	no	—
1170	C₂²×C₄	—	146	2	no	—
1171	C₂²×C₄	—	146	2	no	—
1172	C₂²×C₄	—	146	2	no	—
1173	C₂²×C₄	—	146	2	no	—
1174	C₂²×C₄	—	146	2	no	—
1175	C₂²×C₄	—	146	2	no	—
1176	C₂²×C₄	—	146	2	no	—
1177	C₂²×C₄	—	146	2	no	—
1178	C₂²×C₄	—	146	2	no	—
1179	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	292	1	no	—
1197	C₄⋊C₄	—	292	1	no	—
1198	C₄⋊C₄	—	292	1	no	—
1199	C₄⋊C₄	—	292	1	no	—
1200	C₄⋊C₄	—	292	1	no	—
1201	C₄⋊C₄	—	292	1	no	—
1202	C₄⋊C₄	—	292	1	no	—
1203	C₄⋊C₄	—	292	1	no	—
1204	C₄⋊C₄	—	292	1	no	—
1205	C₄⋊C₄	—	146	2	no	—
1206	C₄⋊C₄	—	146	2	no	—
1207	C₄⋊C₄	—	146	2	no	—
1208	C₄⋊C₄	—	146	2	no	—
1209	C₄⋊C₄	—	146	2	no	—
1210	C₄⋊C₄	—	146	2	no	—
1211	C₄⋊C₄	—	146	2	no	—
1212	C₄⋊C₄	—	146	2	no	—
1213	C₄⋊C₄	—	146	2	no	—
1214	C₄⋊C₄	—	146	2	no	—
1215	C₄⋊C₄	—	146	2	no	—
1216	C₄⋊C₄	—	146	2	no	—
1217	C₄⋊C₄	—	146	2	no	—
1218	C₄⋊C₄	—	146	2	no	—
1219	C₄⋊C₄	—	146	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	292	1	no	—
1230	C₂²⋊C₄	—	292	1	no	—
1231	C₂²⋊C₄	—	292	1	no	—
1232	C₂²⋊C₄	—	292	1	no	—
1233	C₂²⋊C₄	—	292	1	no	—
1234	C₂²⋊C₄	—	292	1	no	—
1235	C₂²⋊C₄	—	292	1	no	—
1236	C₂²⋊C₄	—	73	4	no	—
1237	C₂²⋊C₄	—	73	4	no	—
1238	C₂²⋊C₄	—	146	2	no	—
1239	C₂²⋊C₄	—	146	2	no	—
1240	C₂²⋊C₄	—	146	2	no	—
1241	C₂²⋊C₄	—	146	2	no	—
1242	C₂²⋊C₄	—	146	2	no	—
1243	C₂²⋊C₄	—	146	2	no	—
1244	C₂²⋊C₄	—	146	2	no	—
1245	C₂²⋊C₄	—	146	2	no	—
1246	C₂²⋊C₄	—	146	2	no	—
1247	C₂²⋊C₄	—	146	2	no	—
1248	C₂²⋊C₄	—	146	2	no	—
1249	C₂²⋊C₄	—	146	2	no	—
1250	C₂²⋊C₄	—	146	2	no	—
1251	C₂²⋊C₄	—	146	2	no	—
1252	C₂²⋊C₄	—	146	2	no	—
1253	C₂²⋊C₄	—	146	2	no	—
1254	C₂²⋊C₄	—	146	2	no	—
1255	C₂²⋊C₄	—	146	2	no	—
1256	C₂²⋊C₄	—	146	2	no	—
1257	C₂²⋊C₄	—	146	2	no	—
1258	C₂²⋊C₄	—	146	2	no	—
1259	C₂²⋊C₄	—	146	2	no	—
1260	C₄²	—	2	2	no	—
1261	C₄²	—	4	1	no	—
1262	C₄²	—	292	1	no	—
1263	C₄²	—	292	1	no	—
1264	C₄²	—	292	1	no	—
1265	C₄²	—	146	2	no	—
1266	C₄²	—	146	2	no	—
1267	C₄²	—	146	2	no	—
1268	C₄²	—	146	2	no	—
1269	C₄²	—	146	2	no	—
1270	C₄²	—	146	2	no	—
1271	C₄²	—	146	2	no	—
1272	C₄²	—	146	2	no	—
1273	C₄²	—	146	2	no	—
1274	C₄²	—	146	2	no	—
1275	C₄²	—	146	2	no	—
1276	C₄²	—	146	2	no	—
1277	C₄²	—	146	2	no	—
1278	C₄²	—	146	2	no	—
1279	C₄²	—	146	2	no	—
1280	C₄²	—	146	2	no	—
1281	C₄²	—	146	2	no	—
1282	C₄²	—	146	2	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	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	—	292	4	no	—
1295	C₂³	—	292	4	no	—
1296	C₂³	—	292	4	no	—
1297	C₂³	—	292	4	no	—
1298	C₂³	—	292	4	no	—
1299	C₂³	—	292	4	no	—
1300	C₂³	—	73	2	no	—
1301	C₂³	—	73	2	no	—
1302	C₂³	—	146	8	no	—
1303	C₂³	—	146	1	no	—
1304	C₂³	—	146	1	no	—
1305	C₂³	—	146	1	no	—
1306	C₂³	—	146	1	no	—
1307	C₂³	—	146	1	no	—
1308	C₂³	—	146	1	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	#41×D₇₃	1	2	yes	—
1316	C₂³	#41×D₇₃	1	2	yes	—
1317	C₂³	#41×D₇₃	1	2	yes	—
1318	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1319	Q₈	—	292	4	no	—
1320	D₄	—	4	4	no	—
1321	D₄	—	292	4	no	—
1322	D₄	—	292	4	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	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	—	4	4	no	—
1361	C₂×C₄	—	4	4	no	—
1362	C₂×C₄	—	4	4	no	—
1363	C₂×C₄	—	292	4	no	—
1364	C₂×C₄	—	292	4	no	—
1365	C₂×C₄	—	292	4	no	—
1366	C₂×C₄	—	292	4	no	—
1367	C₂×C₄	—	292	4	no	—
1368	C₂×C₄	—	73	2	no	—
1369	C₂×C₄	—	73	2	no	—
1370	C₂×C₄	—	73	2	no	—
1371	C₂×C₄	—	73	2	no	—
1372	C₂×C₄	—	73	2	no	—
1373	C₂×C₄	—	73	2	no	—
1374	C₂×C₄	—	73	2	no	—
1375	C₂×C₄	—	73	2	no	—
1376	C₂×C₄	—	73	2	no	—
1377	C₂×C₄	—	146	8	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	8	no	—
1400	C₂×C₄	—	146	8	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	#41×D₇₃	1	2	yes	—
1414	C₂×C₄	#41×D₇₃	1	2	yes	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	4	1	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	—	292	16	no	—
1429	C₂²	—	292	1	no	—
1430	C₂²	—	292	1	no	—
1431	C₂²	—	292	1	no	—
1432	C₂²	—	292	1	no	—
1433	C₂²	—	292	1	no	—
1434	C₂²	—	292	1	no	—
1435	C₂²	—	292	1	no	—
1436	C₂²	—	292	1	no	—
1437	C₂²	—	146	2	no	—
1438	C₂²	—	146	2	no	—
1439	C₂²	—	146	2	no	—
1440	C₂²	—	146	2	no	—
1441	C₂²	—	146	2	no	—
1442	C₂²	—	146	2	no	—
1443	C₂²	#17989120	1	4	yes	—
1444	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1445	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1446	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1447	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1448	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1449	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1450	C₂²	#17989422	1	1	yes	characteristic
1451	C₄	—	2	2	no	—
1452	C₄	—	2	2	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	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	—	292	1	no	—
1465	C₄	—	292	1	no	—
1466	C₄	—	292	1	no	—
1467	C₄	—	292	1	no	—
1468	C₄	—	292	1	no	—
1469	C₄	—	292	1	no	—
1470	C₄	—	292	1	no	—
1471	C₄	—	73	4	no	—
1472	C₄	—	146	2	no	—
1473	C₄	—	146	2	no	—
1474	C₄	—	146	2	no	—
1475	C₄	—	146	2	no	—
1476	C₄	—	146	2	no	—
1477	C₄	—	146	2	no	—
1478	C₂	—	2	4	no	—
1479	C₂	—	8	1	no	—
1480	C₂	—	292	2	no	—
1481	C₂	—	292	2	no	—
1482	C₂	C₂×#17989120	1	1	yes	characteristic
1483	C₂	#22623225	1	1	yes	characteristic
1484	C₂	#22623350	1	1	yes	characteristic
1485	C₂	#551×D₇₃	1	1	yes	characteristic
1486	C₂	#22623486	1	1	yes	characteristic
1487	C₂	#22623490	1	1	yes	characteristic
1488	C₂	#22623538	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Fitting	C₇₃×#2510	C₂
prime radical	C₂×#14556559	C₂²
hypercenter	#2510	D₇₃
hypocenter	C₇₃	#34806
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2510

Complements

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

N	H ≅ G/N	type
1. #22614781	C₂	semidirect
2. #22614766	C₂	semidirect
3. #22614721	C₂	semidirect
4. #22614706	C₂	semidirect
5. #22614656	C₂	semidirect
6. #22614641	C₂	semidirect
7. #22614572	C₂	semidirect
8. #22614557	C₂	semidirect
9. #22614432	C₂	semidirect
10. #22614373	C₂	semidirect
11. #22614204	C₂	semidirect
12. #22614177	C₂	semidirect
14. #22613613	C₂	semidirect
16. #22613234	C₂	semidirect
17. #22613204	C₂	semidirect
18. #22613193	C₂	semidirect
19. #22613189	C₂	semidirect
20. #22612479	C₂	semidirect
21. #22612472	C₂	semidirect
22. #22612463	C₂	semidirect
23. #22612456	C₂	semidirect
25. #22612423	C₂	semidirect
26. #22612391	C₂	semidirect
27. #22612371	C₂	semidirect
28. #22612313	C₂	semidirect
29. C₄×#14556547	C₂	semidirect
30. C₂×#17988434	C₂	semidirect
31. C₇₃×#2510	C₂	semidirect
38. C₂×#14556556	C₂²	semidirect
46. C₂×#14556547	C₂²	semidirect
51. #17988528	C₂²	semidirect
52. #17988528	C₂²	semidirect
53. #17988528	C₂²	semidirect
54. #17988528	C₂²	semidirect
55. #17988527	C₂²	semidirect
56. #17988523	C₂²	semidirect
59. #17988521	C₂²	semidirect
60. #17988521	C₂²	semidirect
61. #17988521	C₂²	semidirect
62. #17988518	C₂²	semidirect
69. #17988515	C₂²	semidirect
73. #17988507	C₂²	semidirect
79. #17988491	C₂²	semidirect
80. #17988491	C₂²	semidirect
84. #17988484	C₂²	semidirect
85. #17988482	C₂²	semidirect
86. #17988482	C₂²	semidirect
87. #17988481	C₂²	semidirect
88. #17988481	C₂²	semidirect
89. #17988481	C₂²	semidirect
90. #17988481	C₂²	semidirect
91. #17988480	C₂²	semidirect
103. #17988475	C₂²	semidirect
104. #17988474	C₂²	semidirect
105. #17988474	C₂²	semidirect
106. #17988473	C₂²	semidirect
107. #17988472	C₂²	semidirect
108. #17988472	C₂²	semidirect
109. #17988472	C₂²	semidirect
110. #17988470	C₂²	semidirect
111. #17988470	C₂²	semidirect
112. #17988469	C₂²	semidirect
113. #17988469	C₂²	semidirect
114. #17988469	C₂²	semidirect
115. #17988468	C₂²	semidirect
126. #17988451	C₂²	semidirect
137. C₄⋊C₄×Dic₇₃	C₂²	semidirect
138. C₄×#11924007	C₂²	semidirect
139. C₄×#11924007	C₂²	semidirect
140. #17988438	C₂²	semidirect
141. #17988438	C₂²	semidirect
142. #17988438	C₂²	semidirect
143. #17988438	C₂²	semidirect
144. #17988438	C₂²	semidirect
145. #17988438	C₂²	semidirect
146. #17988438	C₂²	semidirect
150. C₂²⋊C₄×Dic₇₃	C₂²	semidirect
151. C₂²⋊C₄×Dic₇₃	C₂²	semidirect
152. C₂²⋊C₄×Dic₇₃	C₂²	semidirect
166. #17988432	C₂²	semidirect
167. #17988432	C₂²	semidirect
168. #17988432	C₂²	semidirect
170. C₄²×Dic₇₃	C₂²	semidirect
171. C₄²×Dic₇₃	C₂²	semidirect
172. #401×C₇₃	C₂²	semidirect
173. #400×C₇₃	C₂²	semidirect
174. #397×C₇₃	C₂²	semidirect
175. #397×C₇₃	C₂²	semidirect
176. #388×C₇₃	C₂²	semidirect
177. #388×C₇₃	C₂²	semidirect
178. #387×C₇₃	C₂²	semidirect
183. #383×C₇₃	C₂²	semidirect
753. #2510	D₇₃	semidirect
776. C₇₃	#34806	semidirect
796. #401	C₂×D₇₃	semidirect
802. #400	C₂×D₇₃	semidirect
817. #397	C₂×D₇₃	semidirect
818. #397	C₂×D₇₃	semidirect
853. #388	C₂×D₇₃	semidirect
854. #388	C₂×D₇₃	semidirect
867. #387	C₂×D₇₃	semidirect
882. #383	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22614781	2
#22614766	2
#22614721	2
#22614706	2
#22614656	2
#22614641	2
#22614572	2
#22614557	2
#22614432	2
#22614373	2
#22614204	2
#22614177	2
#22614059	2
#22613613	2
#22613319	2
#22613234	2
#22613204	2
#22613193	2
#22613189	2
#22612479	2
#22612472	2
#22612463	2
#22612456	2
#22612436	2
#22612423	2
#22612391	2
#22612371	2
#22612313	2
C₄×#14556547	2
C₂×#17988434	2
C₇₃×#2510	2
#34806	73