Subgroups — #33300150

Order 18688.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618264	C₂	1	1	yes	maximal, characteristic, complemented
2	#22618255	C₂	1	1	yes	maximal, characteristic, complemented
3	#22617789	C₂	1	1	yes	maximal, characteristic, complemented
4	#22617571	C₂	1	1	yes	maximal, characteristic, complemented
5	#22617558	C₂	1	1	yes	maximal, characteristic, complemented
6	#22617556	C₂	1	1	yes	maximal, characteristic, complemented
7	#22617449	C₂	1	1	yes	maximal, characteristic, complemented
8	#22617204	C₂	1	1	yes	maximal, characteristic, complemented
9	#22617180	C₂	1	1	yes	maximal, characteristic, complemented
10	#22617173	C₂	1	1	yes	maximal, characteristic, complemented
11	#22617052	C₂	1	1	yes	maximal, characteristic, complemented
12	#22616978	C₂	1	1	yes	maximal, characteristic, complemented
13	#22616967	C₂	1	1	yes	maximal, characteristic, complemented
14	#22616558	C₂	1	1	yes	maximal, characteristic, complemented
15	#22616489	C₂	1	1	yes	maximal, characteristic, complemented
16	#22616479	C₂	1	1	yes	maximal, characteristic, complemented
17	#22616319	C₂	1	1	yes	maximal, characteristic, complemented
18	#22615889	C₂	1	1	yes	maximal, characteristic, complemented
19	#22615863	C₂	1	1	yes	maximal, characteristic, complemented
20	#22614254	C₂	1	1	yes	maximal, characteristic, complemented
21	#22614190	C₂	1	1	yes	maximal, characteristic, complemented
22	#22613667	C₂	1	1	yes	maximal, characteristic, complemented
23	#22613593	C₂	1	1	yes	maximal, characteristic, complemented
24	#22613475	C₂	1	1	yes	maximal, characteristic, complemented
25	#22613320	C₂	1	1	yes	maximal, characteristic, complemented
26	#22613303	C₂	1	1	yes	maximal, characteristic
27	#22613260	C₂	1	1	yes	maximal, characteristic, complemented
28	#22612584	C₂	1	1	yes	maximal, characteristic, complemented
29	#22612508	C₂	1	1	yes	maximal, characteristic, complemented
30	#388×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#2765	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₂₉₂	C₂²	1	1	yes	characteristic
33	C₂×#14556586	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14556576	C₂²	1	1	yes	characteristic
35	C₂×#14556576	C₂²	1	1	yes	characteristic
36	C₂×#14556576	C₂²	1	1	yes	characteristic, complemented
37	C₂×#14556576	C₂²	1	1	yes	characteristic, complemented
38	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
39	C₂×#14556569	C₂²	1	1	yes	characteristic, complemented
40	C₂×#14556566	C₂²	1	1	yes	characteristic
41	C₂×#14556566	C₂²	1	1	yes	characteristic
42	C₂×#14556561	C₂²	1	1	yes	characteristic
43	C₂×#14556561	C₂²	1	1	yes	characteristic
44	C₂×#14556553	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic, complemented
51	#17988529	C₂²	1	1	yes	characteristic, complemented
52	#17988529	C₂²	1	1	yes	characteristic, complemented
53	#17988529	C₂²	1	1	yes	characteristic, complemented
54	#17988528	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
60	#17988522	C₂²	1	1	yes	characteristic, complemented
61	#17988516	C₂²	1	1	yes	characteristic, complemented
62	#17988516	C₂²	1	1	yes	characteristic, complemented
63	#17988516	C₂²	1	1	yes	characteristic, complemented
64	#17988516	C₂²	1	1	yes	characteristic, complemented
65	#17988515	C₂²	1	1	yes	characteristic
66	#17988514	C₂²	1	1	yes	characteristic, complemented
67	#17988514	C₂²	1	1	yes	characteristic, complemented
68	#17988514	C₂²	1	1	yes	characteristic, complemented
69	#17988514	C₂²	1	1	yes	characteristic, complemented
70	#17988513	C₂²	1	1	yes	characteristic, complemented
71	#17988511	C₂²	1	1	yes	characteristic, complemented
72	#17988510	C₂²	1	1	yes	characteristic
73	#17988509	C₂²	1	1	yes	characteristic, complemented
74	#17988509	C₂²	1	1	yes	characteristic, complemented
75	#17988505	C₂²	1	1	yes	characteristic
76	#17988505	C₂²	1	1	yes	characteristic
77	#17988505	C₂²	1	1	yes	characteristic, complemented
78	#17988505	C₂²	1	1	yes	characteristic, complemented
79	#17988504	C₂²	1	1	yes	characteristic
80	#17988504	C₂²	1	1	yes	characteristic
81	#17988504	C₂²	1	1	yes	characteristic
82	#17988504	C₂²	1	1	yes	characteristic
83	#17988504	C₂²	1	1	yes	characteristic, complemented
84	#17988504	C₂²	1	1	yes	characteristic, complemented
85	#17988503	C₂²	1	1	yes	characteristic
86	#17988502	C₂²	1	1	yes	characteristic
87	#17988500	C₂²	1	1	yes	characteristic, complemented
88	#17988500	C₂²	1	1	yes	characteristic, complemented
89	#17988500	C₂²	1	1	yes	characteristic, complemented
90	#17988499	C₂²	1	1	yes	characteristic
91	#17988497	C₂²	1	1	yes	characteristic
92	#17988497	C₂²	1	1	yes	characteristic
93	#17988491	C₂²	1	1	yes	characteristic, complemented
94	#17988489	C₂²	1	1	yes	characteristic, complemented
95	#17988489	C₂²	1	1	yes	characteristic, complemented
96	#17988488	C₂²	1	1	yes	characteristic, complemented
97	#17988487	C₂²	1	1	yes	characteristic
98	#17988483	C₂²	1	1	yes	characteristic, complemented
99	#17988482	C₂²	1	1	yes	characteristic, complemented
100	#17988481	C₂²	1	1	yes	characteristic
101	#17988480	C₂²	1	1	yes	characteristic
102	#17988480	C₂²	1	1	yes	characteristic
103	#17988479	C₂²	1	1	yes	characteristic, complemented
104	#17988479	C₂²	1	1	yes	characteristic, complemented
105	#17988479	C₂²	1	1	yes	characteristic, complemented
106	#17988478	C₂²	1	1	yes	characteristic, complemented
107	#17988478	C₂²	1	1	yes	characteristic, complemented
108	#17988478	C₂²	1	1	yes	characteristic, complemented
109	#17988478	C₂²	1	1	yes	characteristic, complemented
110	#17988477	C₂²	1	1	yes	characteristic, complemented
111	#17988477	C₂²	1	1	yes	characteristic, complemented
112	#17988477	C₂²	1	1	yes	characteristic, complemented
113	#17988477	C₂²	1	1	yes	characteristic, complemented
114	#17988477	C₂²	1	1	yes	characteristic, complemented
115	#17988477	C₂²	1	1	yes	characteristic, complemented
116	#17988476	C₂²	1	1	yes	characteristic, complemented
117	#17988476	C₂²	1	1	yes	characteristic, complemented
118	#17988476	C₂²	1	1	yes	characteristic, complemented
119	#17988476	C₂²	1	1	yes	characteristic, complemented
120	#17988476	C₂²	1	1	yes	characteristic, complemented
121	#17988476	C₂²	1	1	yes	characteristic, complemented
122	#17988475	C₂²	1	1	yes	characteristic
123	#17988472	C₂²	1	1	yes	characteristic, complemented
124	#17988470	C₂²	1	1	yes	characteristic, complemented
125	#17988469	C₂²	1	1	yes	characteristic, complemented
126	#17988468	C₂²	1	1	yes	characteristic, complemented
127	#17988468	C₂²	1	1	yes	characteristic, complemented
128	#17988466	C₂²	1	1	yes	characteristic
129	#17988465	C₂²	1	1	yes	characteristic
130	#17988465	C₂²	1	1	yes	characteristic
131	#17988465	C₂²	1	1	yes	characteristic
132	#17988465	C₂²	1	1	yes	characteristic
133	#17988465	C₂²	1	1	yes	characteristic
134	#17988465	C₂²	1	1	yes	characteristic
135	#17988465	C₂²	1	1	yes	characteristic
136	#17988465	C₂²	1	1	yes	characteristic
137	#17988465	C₂²	1	1	yes	characteristic
138	#17988465	C₂²	1	1	yes	characteristic
139	#17988465	C₂²	1	1	yes	characteristic
140	#17988465	C₂²	1	1	yes	characteristic
141	#17988465	C₂²	1	1	yes	characteristic, complemented
142	#17988465	C₂²	1	1	yes	characteristic, complemented
143	#17988465	C₂²	1	1	yes	characteristic, complemented
144	#17988465	C₂²	1	1	yes	characteristic, complemented
145	#17988465	C₂²	1	1	yes	characteristic, complemented
146	#17988465	C₂²	1	1	yes	characteristic, complemented
147	#17988463	C₂²	1	1	yes	characteristic
148	#17988461	C₂²	1	1	yes	characteristic, complemented
149	#17988461	C₂²	1	1	yes	characteristic, complemented
150	#17988461	C₂²	1	1	yes	characteristic, complemented
151	#17988461	C₂²	1	1	yes	characteristic, complemented
152	#17988460	C₂²	1	1	yes	characteristic
153	#17988458	C₂²	1	1	yes	characteristic, complemented
154	#17988458	C₂²	1	1	yes	characteristic, complemented
155	#17988458	C₂²	1	1	yes	characteristic, complemented
156	#17988450	C₂²	1	1	yes	characteristic
157	#17988449	C₂²	1	1	yes	characteristic, complemented
158	#17988446	C₂²	1	1	yes	characteristic, complemented
159	#17988446	C₂²	1	1	yes	characteristic, complemented
160	#17988444	C₂²	1	1	yes	characteristic, complemented
161	#17988444	C₂²	1	1	yes	characteristic, complemented
162	#17988444	C₂²	1	1	yes	characteristic, complemented
163	#17988442	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	#17988442	C₂²	1	1	yes	characteristic
168	#17988442	C₂²	1	1	yes	characteristic
169	C₄×#11924005	C₂²	1	1	yes	characteristic, complemented
170	#95×D₇₃	C₂²	1	1	yes	characteristic, complemented
171	#95×D₇₃	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	#398×C₇₃	C₂²	1	1	yes	characteristic, complemented
175	#398×C₇₃	C₂²	1	1	yes	characteristic, complemented
176	#397×C₇₃	C₂²	1	1	yes	characteristic
177	#396×C₇₃	C₂²	1	1	yes	characteristic
178	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
179	#388×C₇₃	C₂²	1	1	yes	characteristic
180	#388×C₇₃	C₂²	1	1	yes	characteristic
181	#387×C₇₃	C₂²	1	1	yes	characteristic, complemented
182	#387×C₇₃	C₂²	1	1	yes	characteristic, complemented
183	#385×C₇₃	C₂²	1	1	yes	characteristic
184	#385×C₇₃	C₂²	1	1	yes	characteristic
185	#382×C₇₃	C₂²	1	1	yes	characteristic, complemented
186	#381×C₇₃	C₂²	1	1	yes	characteristic
187	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
188	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
190	C₂²×D₂₉₂	—	2	4	no	—
191	C₂²×D₂₉₂	—	4	2	no	—
192	C₂²×D₂₉₂	—	4	2	no	—
193	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
194	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
195	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
196	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
197	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
198	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
199	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
200	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
201	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
211	#14556586	—	4	2	no	—
212	#14556576	—	4	2	no	—
213	#14556576	—	4	2	no	—
214	#14556576	—	4	2	no	—
215	#14556576	—	4	2	no	—
216	#14556571	—	4	2	no	—
217	#14556569	—	4	2	no	—
218	#14556566	—	4	2	no	—
219	#14556566	—	4	2	no	—
220	#14556561	—	2	4	no	—
221	#14556561	—	4	2	no	—
222	#14556553	—	4	2	no	—
223	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
228	C₂×#11924007	C₂³	1	1	yes	characteristic
229	C₂×#11924007	C₂³	1	1	yes	characteristic
230	C₂×#11924007	C₂³	1	1	yes	characteristic
231	C₂×#11924007	C₂³	1	1	yes	characteristic
232	C₂×#11924007	C₂³	1	1	yes	characteristic
233	C₂×#11924007	C₂³	1	1	yes	characteristic
234	C₂×#11924007	C₂³	1	1	yes	characteristic
235	C₂×#11924007	C₂³	1	1	yes	characteristic
236	C₂×#11924007	C₂³	1	1	yes	characteristic
237	C₂×#11924007	C₂³	1	1	yes	characteristic
238	C₂×#11924007	C₂³	1	1	yes	characteristic
239	C₄⋊C₄×D₇₃	—	4	2	no	—
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×#11924005	C₂³	1	1	yes	characteristic
246	C₂×#11924005	C₂³	1	1	yes	characteristic
247	C₂×#11924005	C₂³	1	1	yes	characteristic
248	C₂×#11924005	C₂³	1	1	yes	characteristic
249	C₂×#11924005	C₂³	1	1	yes	characteristic
250	C₂×#11924005	C₂³	1	1	yes	characteristic
251	C₂×#11924005	C₂³	1	1	yes	characteristic
252	C₂×#11924005	C₂³	1	1	yes	characteristic
253	C₂×#11924005	C₂³	1	1	yes	characteristic
254	C₂×#11924005	C₂³	1	1	yes	characteristic
255	C₂×#11924005	C₂³	1	1	yes	characteristic
256	C₂×#11924005	C₂³	1	1	yes	characteristic
257	C₂×#11924005	C₂³	1	1	yes	characteristic
258	C₂×#11924005	C₂³	1	1	yes	characteristic
259	C₂×#11924005	C₂³	1	1	yes	characteristic
260	C₂×#11924005	C₂³	1	1	yes	characteristic
261	C₂×#11924005	C₂³	1	1	yes	characteristic
262	C₂×#11924005	C₂³	1	1	yes	characteristic
263	C₂×#11924005	C₂³	1	1	yes	characteristic
264	C₂×#11924005	C₂³	1	1	yes	characteristic
265	C₂×#11924005	C₂³	1	1	yes	characteristic
266	C₂×#11924005	C₂³	1	1	yes	characteristic
267	C₂×#11924005	C₂³	1	1	yes	characteristic
268	C₂×#11924005	C₂³	1	1	yes	characteristic
269	C₂×#11924005	C₂³	1	1	yes	characteristic
270	C₂×#11924005	C₂³	1	1	yes	characteristic
271	C₂×#11924005	C₂³	1	1	yes	characteristic
272	C₂×#11924005	C₂³	1	1	yes	characteristic
273	C₂×#11924005	C₂³	1	1	yes	characteristic
274	C₂×#11924005	C₂³	1	1	yes	characteristic
275	C₂×#11924005	C₂³	1	1	yes	characteristic
276	C₂×#11924005	C₂³	1	1	yes	characteristic
277	C₂×#11924005	C₂³	1	1	yes	characteristic
278	C₂×#11924005	C₂³	1	1	yes	characteristic
279	C₂×#11924005	C₂³	1	1	yes	characteristic
280	C₂×#11924005	C₂³	1	1	yes	characteristic
281	C₂×#11924005	C₂³	1	1	yes	characteristic
282	C₂×#11924005	C₂³	1	1	yes	characteristic
283	C₂×#11924005	C₂³	1	1	yes	characteristic
284	C₂×#11924005	C₂³	1	1	yes	characteristic
285	C₂×#11924005	C₂³	1	1	yes	characteristic
286	C₂×#11924005	C₂³	1	1	yes	characteristic
287	C₂×#11924005	C₂³	1	1	yes	characteristic
288	C₂×#11924005	C₂³	1	1	yes	characteristic
289	C₂×#11924005	C₂³	1	1	yes	characteristic
290	C₂²⋊C₄×D₇₃	—	2	4	no	—
291	C₂²⋊C₄×D₇₃	—	4	2	no	—
292	C₂²⋊C₄×D₇₃	—	4	2	no	—
293	C₂²⋊C₄×D₇₃	—	4	2	no	—
294	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
299	C₄²×D₇₃	—	4	2	no	—
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	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×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	—	4	1	no	—
367	C₂³×D₇₃	—	4	1	no	—
368	C₂³×D₇₃	—	4	1	no	—
369	C₂³×D₇₃	—	4	1	no	—
370	C₂³×D₇₃	—	4	1	no	—
371	C₂³×D₇₃	—	4	1	no	—
372	C₂³×D₇₃	—	4	1	no	—
373	C₂³×D₇₃	—	4	1	no	—
374	C₂³×D₇₃	—	4	1	no	—
375	C₂³×D₇₃	—	4	1	no	—
376	C₂³×D₇₃	#41	1	4	yes	—
377	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
378	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
379	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
380	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
381	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
382	C₂×Dic₁₄₆	—	4	1	no	—
383	C₂×Dic₁₄₆	—	4	1	no	—
384	C₂×Dic₁₄₆	—	4	1	no	—
385	C₂×D₂₉₂	—	2	2	no	—
386	C₂×D₂₉₂	—	2	2	no	—
387	C₂×D₂₉₂	—	2	2	no	—
388	C₂×D₂₉₂	—	2	2	no	—
389	C₂×D₂₉₂	—	2	2	no	—
390	C₂×D₂₉₂	—	2	2	no	—
391	C₂×D₂₉₂	—	2	2	no	—
392	C₂×D₂₉₂	—	2	2	no	—
393	C₂×D₂₉₂	—	2	2	no	—
394	C₂×D₂₉₂	—	2	2	no	—
395	C₂×D₂₉₂	—	2	2	no	—
396	C₂×D₂₉₂	—	2	2	no	—
397	C₂×D₂₉₂	—	2	2	no	—
398	C₂×D₂₉₂	—	4	1	no	—
399	C₂×D₂₉₂	—	4	1	no	—
400	C₂×D₂₉₂	—	4	1	no	—
401	C₂×D₂₉₂	—	4	1	no	—
402	C₂×D₂₉₂	—	4	16	no	—
403	C₂×D₂₉₂	—	4	1	no	—
404	C₂×D₂₉₂	—	4	1	no	—
405	C₂×D₂₉₂	—	4	1	no	—
406	C₂×D₂₉₂	—	4	1	no	—
407	C₂×D₂₉₂	—	4	1	no	—
408	C₂×D₂₉₂	—	4	1	no	—
409	C₂×D₂₉₂	—	4	1	no	—
410	C₂×C₂²⋊D₇₃	—	2	2	no	—
411	C₂×C₂²⋊D₇₃	—	4	1	no	—
412	C₂×C₂²⋊D₇₃	—	4	1	no	—
413	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
424	C₂×C₄×D₇₃	—	2	2	no	—
425	C₂×C₄×D₇₃	—	2	2	no	—
426	C₂×C₄×D₇₃	—	2	2	no	—
427	C₂×C₄×D₇₃	—	2	2	no	—
428	C₂×C₄×D₇₃	—	2	2	no	—
429	C₂×C₄×D₇₃	—	2	2	no	—
430	C₂×C₄×D₇₃	—	2	2	no	—
431	C₂×C₄×D₇₃	—	2	2	no	—
432	C₂×C₄×D₇₃	—	2	2	no	—
433	C₂×C₄×D₇₃	—	4	1	no	—
434	C₂×C₄×D₇₃	—	4	1	no	—
435	C₂×C₄×D₇₃	—	4	1	no	—
436	C₂×C₄×D₇₃	—	4	1	no	—
437	C₂×C₄×D₇₃	—	4	1	no	—
438	C₂×C₄×D₇₃	—	4	1	no	—
439	C₂×C₄×D₇₃	—	4	1	no	—
440	C₂×C₄×D₇₃	—	4	1	no	—
441	C₂×C₄×D₇₃	—	4	1	no	—
442	C₂×C₄×D₇₃	—	4	1	no	—
443	C₂×C₄×D₇₃	—	4	1	no	—
444	C₂×C₄×D₇₃	—	4	1	no	—
445	C₂×C₄×D₇₃	—	4	1	no	—
446	C₂×C₄×D₇₃	—	4	1	no	—
447	C₂×C₄×D₇₃	—	4	1	no	—
448	C₂×C₄×D₇₃	—	4	1	no	—
449	C₂×C₄×D₇₃	—	4	1	no	—
450	C₂×C₄×D₇₃	—	4	1	no	—
451	C₄⋊Dic₇₃	—	2	2	no	—
452	C₄⋊Dic₇₃	—	4	1	no	—
453	C₄⋊Dic₇₃	—	4	1	no	—
454	C₄⋊Dic₇₃	—	4	1	no	—
455	C₄⋊Dic₇₃	—	4	1	no	—
456	#11924007	—	2	2	no	—
457	#11924007	—	4	1	no	—
458	#11924007	—	4	1	no	—
459	#11924007	—	4	1	no	—
460	#11924007	—	4	1	no	—
461	#11924007	—	4	1	no	—
462	#11924007	—	4	1	no	—
463	#11924007	—	4	1	no	—
464	#11924007	—	4	1	no	—
465	#11924007	—	4	1	no	—
466	#11924007	—	4	1	no	—
467	C₂²⋊Dic₇₃	—	2	2	no	—
468	C₂²⋊Dic₇₃	—	4	1	no	—
469	C₂²⋊Dic₇₃	—	4	1	no	—
470	C₂²⋊Dic₇₃	—	4	1	no	—
471	C₂²⋊Dic₇₃	—	4	1	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	—	2	2	no	—
479	#11924005	—	2	2	no	—
480	#11924005	—	2	2	no	—
481	#11924005	—	2	2	no	—
482	#11924005	—	4	1	no	—
483	#11924005	—	4	1	no	—
484	#11924005	—	4	1	no	—
485	#11924005	—	4	1	no	—
486	#11924005	—	4	1	no	—
487	#11924005	—	4	1	no	—
488	#11924005	—	4	1	no	—
489	#11924005	—	4	1	no	—
490	#11924005	—	4	1	no	—
491	#11924005	—	4	1	no	—
492	#11924005	—	4	1	no	—
493	#11924005	—	4	1	no	—
494	#11924005	—	4	1	no	—
495	#11924005	—	4	1	no	—
496	#11924005	—	4	1	no	—
497	#11924005	—	4	1	no	—
498	#11924005	—	4	1	no	—
499	#11924005	—	4	1	no	—
500	#11924005	—	4	1	no	—
501	#11924005	—	4	1	no	—
502	#11924005	—	4	1	no	—
503	#11924005	—	4	1	no	—
504	#11924005	—	4	1	no	—
505	#11924005	—	4	1	no	—
506	#11924005	—	4	1	no	—
507	#11924005	—	4	1	no	—
508	#11924005	—	4	1	no	—
509	#11924005	—	4	1	no	—
510	#11924005	—	4	1	no	—
511	#11924005	—	4	1	no	—
512	#11924005	—	4	1	no	—
513	#11924005	—	4	1	no	—
514	#11924005	—	4	1	no	—
515	#11924005	—	4	1	no	—
516	#11924005	—	4	1	no	—
517	C₄×Dic₇₃	—	4	1	no	—
518	C₄×Dic₇₃	—	4	1	no	—
519	C₄×Dic₇₃	—	4	1	no	—
520	C₄×Dic₇₃	—	4	1	no	—
521	C₄×Dic₇₃	—	4	1	no	—
522	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₇₃	—	2	2	no	—
524	C₂²×C₄×C₇₃	—	4	1	no	—
525	C₂²×C₄×C₇₃	—	4	1	no	—
526	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
540	C₄⋊C₄×C₇₃	—	2	2	no	—
541	C₄⋊C₄×C₇₃	—	2	2	no	—
542	C₄⋊C₄×C₇₃	—	4	1	no	—
543	C₄⋊C₄×C₇₃	—	4	1	no	—
544	C₄⋊C₄×C₇₃	—	4	1	no	—
545	C₄⋊C₄×C₇₃	—	4	1	no	—
546	C₄⋊C₄×C₇₃	—	4	1	no	—
547	C₄⋊C₄×C₇₃	—	4	1	no	—
548	C₄⋊C₄×C₇₃	—	4	1	no	—
549	C₄⋊C₄×C₇₃	—	4	1	no	—
550	C₂²⋊C₄×C₇₃	—	2	2	no	—
551	C₂²⋊C₄×C₇₃	—	2	2	no	—
552	C₂²⋊C₄×C₇₃	—	2	2	no	—
553	C₂²⋊C₄×C₇₃	—	4	1	no	—
554	C₂²⋊C₄×C₇₃	—	4	1	no	—
555	C₂²⋊C₄×C₇₃	—	4	1	no	—
556	C₄²×C₇₃	—	4	1	no	—
557	C₄²×C₇₃	—	4	1	no	—
558	C₂³×C₇₃	—	2	1	no	—
559	C₂³×C₇₃	—	2	1	no	—
560	C₂³×C₇₃	—	2	1	no	—
561	C₂³×C₇₃	—	2	1	no	—
562	C₂³×C₇₃	—	2	1	no	—
563	C₂³×C₇₃	—	2	1	no	—
564	C₂³×C₇₃	C₂×#41	1	2	yes	—
565	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
566	C₂²×D₇₃	—	2	1	no	—
567	C₂²×D₇₃	—	2	1	no	—
568	C₂²×D₇₃	—	2	1	no	—
569	C₂²×D₇₃	—	2	1	no	—
570	C₂²×D₇₃	—	2	1	no	—
571	C₂²×D₇₃	—	2	1	no	—
572	C₂²×D₇₃	—	2	1	no	—
573	C₂²×D₇₃	—	2	1	no	—
574	C₂²×D₇₃	—	2	1	no	—
575	C₂²×D₇₃	—	2	1	no	—
576	C₂²×D₇₃	—	2	8	no	—
577	C₂²×D₇₃	—	2	1	no	—
578	C₂²×D₇₃	—	2	1	no	—
579	C₂²×D₇₃	—	2	1	no	—
580	C₂²×D₇₃	—	2	1	no	—
581	C₂²×D₇₃	—	2	1	no	—
582	C₂²×D₇₃	—	2	1	no	—
583	C₂²×D₇₃	—	2	1	no	—
584	C₂²×D₇₃	—	2	1	no	—
585	C₂²×D₇₃	—	2	1	no	—
586	C₂²×D₇₃	—	2	1	no	—
587	C₂²×D₇₃	—	2	1	no	—
588	C₂²×D₇₃	—	2	1	no	—
589	C₂²×D₇₃	—	2	1	no	—
590	C₂²×D₇₃	—	2	1	no	—
591	C₂²×D₇₃	—	2	1	no	—
592	C₂²×D₇₃	—	2	1	no	—
593	C₂²×D₇₃	—	2	1	no	—
594	C₂²×D₇₃	—	2	1	no	—
595	C₂²×D₇₃	—	2	1	no	—
596	C₂²×D₇₃	—	2	1	no	—
597	C₂²×D₇₃	—	2	1	no	—
598	C₂²×D₇₃	—	4	4	no	—
599	C₂²×D₇₃	—	4	4	no	—
600	C₂²×D₇₃	—	4	4	no	—
601	C₂²×D₇₃	—	8	2	no	—
602	C₂²×D₇₃	—	8	2	no	—
603	C₂²×D₇₃	—	8	2	no	—
604	C₂²×D₇₃	—	8	2	no	—
605	C₂²×D₇₃	—	8	2	no	—
606	C₂²×D₇₃	—	8	2	no	—
607	C₂²×D₇₃	—	8	2	no	—
608	C₂²×D₇₃	—	8	2	no	—
609	C₂²×D₇₃	—	8	2	no	—
610	C₂²×D₇₃	—	8	2	no	—
611	C₂²×D₇₃	C₂×#41	1	2	yes	—
612	C₂²×D₇₃	C₂×#41	1	2	yes	—
613	C₂²×D₇₃	H(5,𝔽₂)	1	2	yes	—
614	C₂²×D₇₃	H(5,𝔽₂)	1	2	yes	—
615	C₂×C₄×C₇₃	—	2	1	no	—
616	C₂×C₄×C₇₃	—	2	1	no	—
617	C₂×C₄×C₇₃	—	2	1	no	—
618	C₂×C₄×C₇₃	—	2	1	no	—
619	C₂×C₄×C₇₃	—	2	1	no	—
620	C₂×C₄×C₇₃	—	2	1	no	—
621	C₂×C₄×C₇₃	—	2	1	no	—
622	C₂×C₄×C₇₃	—	2	1	no	—
623	C₂×C₄×C₇₃	—	2	1	no	—
624	C₂×C₄×C₇₃	—	2	1	no	—
625	C₂×C₄×C₇₃	—	2	1	no	—
626	C₂×C₄×C₇₃	—	2	1	no	—
627	C₂×C₄×C₇₃	—	2	1	no	—
628	C₂×C₄×C₇₃	—	2	1	no	—
629	C₂×C₄×C₇₃	—	2	1	no	—
630	C₂×C₄×C₇₃	—	2	1	no	—
631	C₂×C₄×C₇₃	—	2	1	no	—
632	C₂×C₄×C₇₃	—	2	1	no	—
633	C₂×C₄×C₇₃	—	2	1	no	—
634	C₂×C₄×C₇₃	—	2	1	no	—
635	C₂×C₄×C₇₃	—	2	1	no	—
636	C₂×C₄×C₇₃	—	2	1	no	—
637	C₂×C₄×C₇₃	—	2	1	no	—
638	C₂×C₄×C₇₃	—	2	1	no	—
639	C₂×C₄×C₇₃	—	2	1	no	—
640	C₂×C₄×C₇₃	—	2	1	no	—
641	C₂×C₄×C₇₃	—	2	1	no	—
642	C₂×C₄×C₇₃	—	2	1	no	—
643	C₂×C₄×C₇₃	—	2	1	no	—
644	C₂×C₄×C₇₃	—	2	1	no	—
645	C₂×C₄×C₇₃	—	2	1	no	—
646	C₂×C₄×C₇₃	—	2	1	no	—
647	C₂×C₄×C₇₃	—	2	1	no	—
648	C₂×C₄×C₇₃	—	2	1	no	—
649	C₂×C₄×C₇₃	—	2	1	no	—
650	C₂×C₄×C₇₃	—	2	1	no	—
651	C₂×C₄×C₇₃	—	2	1	no	—
652	C₂×C₄×C₇₃	—	2	1	no	—
653	C₂×C₄×C₇₃	—	2	1	no	—
654	C₂×C₄×C₇₃	—	2	1	no	—
655	C₂×C₄×C₇₃	—	2	1	no	—
656	C₂×C₄×C₇₃	—	4	4	no	—
657	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
658	C₂²⋊D₇₃	—	8	2	no	—
659	C₂×Dic₇₃	—	2	1	no	—
660	C₂×Dic₇₃	—	2	1	no	—
661	C₂×Dic₇₃	—	2	1	no	—
662	C₂×Dic₇₃	—	2	1	no	—
663	C₂×Dic₇₃	—	2	1	no	—
664	C₂×Dic₇₃	—	2	1	no	—
665	C₂×Dic₇₃	—	2	1	no	—
666	C₂×Dic₇₃	—	2	1	no	—
667	C₂×Dic₇₃	—	2	1	no	—
668	C₂×Dic₇₃	—	2	1	no	—
669	C₂×Dic₇₃	—	2	1	no	—
670	C₂×Dic₇₃	—	2	1	no	—
671	C₂×Dic₇₃	—	2	1	no	—
672	C₂×Dic₇₃	—	2	1	no	—
673	C₂×Dic₇₃	—	2	1	no	—
674	C₂×Dic₇₃	—	2	1	no	—
675	C₂×Dic₇₃	—	2	1	no	—
676	C₂×Dic₇₃	—	2	1	no	—
677	C₂×Dic₇₃	—	2	1	no	—
678	C₂×Dic₇₃	—	2	1	no	—
679	C₂×Dic₇₃	—	2	1	no	—
680	C₂×Dic₇₃	—	2	1	no	—
681	C₂×Dic₇₃	—	2	1	no	—
682	C₂×Dic₇₃	—	2	1	no	—
683	C₂×Dic₇₃	—	2	1	no	—
684	C₂×Dic₇₃	—	2	1	no	—
685	C₂×Dic₇₃	—	2	1	no	—
686	C₂×Dic₇₃	—	2	1	no	—
687	C₂×Dic₇₃	—	2	1	no	—
688	C₂×Dic₇₃	—	2	1	no	—
689	C₂×Dic₇₃	—	2	1	no	—
690	C₂×Dic₇₃	—	2	1	no	—
691	C₂×Dic₇₃	—	2	1	no	—
692	D₂₉₂	—	4	4	no	—
693	D₂₉₂	—	4	4	no	—
694	D₂₉₂	—	4	4	no	—
695	D₂₉₂	—	4	4	no	—
696	D₂₉₂	—	4	4	no	—
697	D₂₉₂	—	8	2	no	—
698	D₂₉₂	—	8	2	no	—
699	D₂₉₂	—	8	2	no	—
700	C₄×D₇₃	—	4	4	no	—
701	C₄×D₇₃	—	4	4	no	—
702	C₄×D₇₃	—	4	4	no	—
703	C₄×D₇₃	—	4	4	no	—
704	C₄×D₇₃	—	8	2	no	—
705	C₄×D₇₃	—	8	2	no	—
706	C₄×D₇₃	—	8	2	no	—
707	C₄×D₇₃	—	8	2	no	—
708	C₄×D₇₃	—	8	2	no	—
709	Dic₁₄₆	—	8	2	no	—
710	C₂²×C₇₃	—	2	2	no	—
711	C₂²×C₇₃	—	2	2	no	—
712	C₂²×C₇₃	—	2	2	no	—
713	C₂²×C₇₃	—	4	1	no	—
714	C₂²×C₇₃	—	4	1	no	—
715	C₂²×C₇₃	—	4	1	no	—
716	C₂²×C₇₃	—	4	1	no	—
717	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
718	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
719	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
720	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
721	C₂²×C₇₃	#585	1	1	yes	characteristic
722	C₂²×C₇₃	#585	1	1	yes	characteristic
723	C₂²×C₇₃	#585	1	1	yes	characteristic
724	C₂×D₇₃	—	2	2	no	—
725	C₂×D₇₃	—	2	2	no	—
726	C₂×D₇₃	—	2	2	no	—
727	C₂×D₇₃	—	2	2	no	—
728	C₂×D₇₃	—	2	2	no	—
729	C₂×D₇₃	—	2	2	no	—
730	C₂×D₇₃	—	2	2	no	—
731	C₂×D₇₃	—	2	2	no	—
732	C₂×D₇₃	—	2	2	no	—
733	C₂×D₇₃	—	4	1	no	—
734	C₂×D₇₃	—	4	1	no	—
735	C₂×D₇₃	—	4	1	no	—
736	C₂×D₇₃	—	4	1	no	—
737	C₂×D₇₃	—	4	1	no	—
738	C₂×D₇₃	—	4	1	no	—
739	C₂×D₇₃	—	4	1	no	—
740	C₂×D₇₃	—	4	1	no	—
741	C₂×D₇₃	—	4	1	no	—
742	C₂×D₇₃	—	4	1	no	—
743	C₂×D₇₃	—	4	1	no	—
744	C₂×D₇₃	—	4	1	no	—
745	C₂×D₇₃	—	4	1	no	—
746	C₂×D₇₃	—	4	1	no	—
747	C₂×D₇₃	—	4	1	no	—
748	C₂×D₇₃	—	4	1	no	—
749	C₂×D₇₃	—	4	1	no	—
750	C₂×D₇₃	—	4	1	no	—
751	C₂×D₇₃	—	4	1	no	—
752	C₂×D₇₃	—	4	1	no	—
753	C₂×D₇₃	—	4	1	no	—
754	C₂×D₇₃	—	4	1	no	—
755	C₂×D₇₃	—	4	1	no	—
756	C₂×D₇₃	—	4	1	no	—
757	C₂×D₇₃	—	4	1	no	—
758	C₂×D₇₃	—	8	8	no	—
759	C₂×D₇₃	—	8	8	no	—
760	C₂×D₇₃	#538	1	4	yes	—
761	C₄×C₇₃	—	2	2	no	—
762	C₄×C₇₃	—	4	1	no	—
763	C₄×C₇₃	—	4	1	no	—
764	C₄×C₇₃	—	4	1	no	—
765	C₄×C₇₃	—	4	1	no	—
766	C₄×C₇₃	—	4	1	no	—
767	C₄×C₇₃	—	4	1	no	—
768	C₄×C₇₃	—	4	1	no	—
769	C₄×C₇₃	—	4	1	no	—
770	C₄×C₇₃	—	4	1	no	—
771	C₄×C₇₃	—	4	1	no	—
772	C₄×C₇₃	—	4	1	no	—
773	C₄×C₇₃	—	4	1	no	—
774	C₄×C₇₃	—	4	1	no	—
775	Dic₇₃	—	4	1	no	—
776	Dic₇₃	—	4	1	no	—
777	Dic₇₃	—	4	1	no	—
778	Dic₇₃	—	4	1	no	—
779	Dic₇₃	—	4	1	no	—
780	Dic₇₃	—	4	1	no	—
781	Dic₇₃	—	4	1	no	—
782	Dic₇₃	—	4	1	no	—
783	Dic₇₃	—	4	1	no	—
784	Dic₇₃	—	4	1	no	—
785	Dic₇₃	—	4	1	no	—
786	#36986	—	73	1	no	maximal, Sylow
787	C₂×C₇₃	—	4	2	no	—
788	C₂×C₇₃	C₂×#538	1	1	yes	characteristic
789	C₂×C₇₃	#3491	1	1	yes	characteristic
790	C₂×C₇₃	#3505	1	1	yes	characteristic
791	C₂×C₇₃	#3533	1	1	yes	characteristic
792	C₂×C₇₃	#3534	1	1	yes	characteristic
793	C₂×C₇₃	#3558	1	1	yes	characteristic
794	C₂×C₇₃	#3560	1	1	yes	characteristic
795	D₇₃	—	2	4	no	—
796	D₇₃	—	4	2	no	—
797	D₇₃	—	8	1	no	—
798	D₇₃	—	8	1	no	—
799	D₇₃	—	8	1	no	—
800	#2854	—	73	1	no	—
801	#2853	—	73	1	no	—
802	#2797	—	73	1	no	—
803	#2779	—	73	1	no	—
804	#2779	—	73	1	no	—
805	#2778	—	73	1	no	—
806	#2771	—	73	1	no	—
807	#2765	D₇₃	1	1	yes	characteristic, complemented
808	#2753	—	73	1	no	—
809	#2751	—	73	1	no	—
810	#2750	—	73	1	no	—
811	#2741	—	73	1	no	—
812	#2736	—	73	1	no	—
813	#2735	—	73	1	no	—
814	#2702	—	73	1	no	—
815	#2697	—	73	1	no	—
816	#2696	—	73	1	no	—
817	#2685	—	73	1	no	—
818	#2643	—	73	1	no	—
819	#2639	—	73	1	no	—
820	#2488	—	73	1	no	—
821	#2481	—	73	1	no	—
822	#2443	—	73	1	no	—
823	#2437	—	73	1	no	—
824	#2425	—	73	1	no	—
825	#2412	—	73	1	no	—
826	#2410	—	73	1	no	—
827	#2405	—	73	1	no	—
828	#2321	—	73	1	no	—
829	#2308	—	73	1	no	—
830	C₂×#388	—	73	1	no	—
831	C₇₃	#36986	1	1	yes	characteristic, complemented, Sylow
832	C₂³×D₄	—	73	1	no	—
833	C₂×#126	—	73	1	no	—
834	C₂×#123	—	73	1	no	—
835	C₂×#123	—	73	1	no	—
836	C₂×#123	—	73	1	no	—
837	C₂×#123	—	73	1	no	—
838	C₂×C₂²⋊Q₈	—	73	1	no	—
839	C₂×C₂²⋊Q₈	—	73	1	no	—
840	C₂×#121	—	73	1	no	—
841	C₂×#121	—	73	1	no	—
842	C₂×#120	—	73	1	no	—
843	C₂×#120	—	73	1	no	—
844	C₂×C₄×D₄	—	73	1	no	—
845	C₂²×C₄⋊C₄	—	73	1	no	—
846	C₂²×C₂²⋊C₄	—	73	1	no	—
847	C₂²×C₂²⋊C₄	—	73	1	no	—
848	C₂²×C₂²⋊C₄	—	73	1	no	—
849	C₂²×C₂²⋊C₄	—	73	1	no	—
850	C₂²×C₄²	—	73	1	no	—
851	#401	C₂×D₇₃	1	1	yes	characteristic, complemented
852	#400	—	73	1	no	—
853	#400	—	73	1	no	—
854	#400	—	73	1	no	—
855	#400	—	73	1	no	—
856	#400	—	73	1	no	—
857	#400	—	73	1	no	—
858	#400	—	73	1	no	—
859	#400	—	73	1	no	—
860	#400	C₂×D₇₃	1	1	yes	characteristic, complemented
861	#399	—	73	1	no	—
862	#399	—	73	1	no	—
863	#398	C₂×D₇₃	1	1	yes	characteristic, complemented
864	#398	C₂×D₇₃	1	1	yes	characteristic, complemented
865	#397	—	73	1	no	—
866	#397	—	73	1	no	—
867	#397	—	73	1	no	—
868	#397	—	73	1	no	—
869	#397	—	73	1	no	—
870	#397	—	73	1	no	—
871	#397	—	73	1	no	—
872	#397	—	73	1	no	—
873	#397	—	73	1	no	—
874	#397	—	73	1	no	—
875	#397	C₂×D₇₃	1	1	yes	characteristic
876	#396	—	73	1	no	—
877	#396	—	73	1	no	—
878	#396	—	73	1	no	—
879	#396	—	73	1	no	—
880	#396	C₂×D₇₃	1	1	yes	characteristic
881	#394	—	73	1	no	—
882	#394	—	73	1	no	—
883	#394	—	73	1	no	—
884	#394	—	73	1	no	—
885	#394	—	73	1	no	—
886	#394	—	73	1	no	—
887	#394	—	73	1	no	—
888	#394	—	73	1	no	—
889	#394	—	73	1	no	—
890	#394	—	73	1	no	—
891	#394	—	73	1	no	—
892	#394	—	73	1	no	—
893	#393	—	73	1	no	—
894	#393	—	73	1	no	—
895	#393	—	73	1	no	—
896	#393	—	73	1	no	—
897	#392	—	73	1	no	—
898	#392	—	73	1	no	—
899	#391	—	73	1	no	—
900	#390	—	73	1	no	—
901	#390	—	73	1	no	—
902	#390	—	73	1	no	—
903	#390	—	73	1	no	—
904	#389	—	73	1	no	—
905	#389	—	73	1	no	—
906	#389	C₂×D₇₃	1	1	yes	characteristic, complemented
907	#388	—	73	1	no	—
908	#388	—	73	1	no	—
909	#388	—	73	1	no	—
910	#388	—	73	1	no	—
911	#388	—	73	1	no	—
912	#388	—	73	1	no	—
913	#388	—	73	1	no	—
914	#388	—	73	1	no	—
915	#388	—	73	1	no	—
916	#388	—	73	1	no	—
917	#388	—	73	1	no	—
918	#388	—	73	1	no	—
919	#388	—	73	1	no	—
920	#388	—	73	1	no	—
921	#388	—	73	1	no	—
922	#388	—	73	1	no	—
923	#388	—	73	1	no	—
924	#388	—	73	1	no	—
925	#388	—	73	1	no	—
926	#388	—	73	1	no	—
927	#388	—	73	1	no	—
928	#388	—	73	1	no	—
929	#388	—	73	1	no	—
930	#388	C₂×D₇₃	1	1	yes	characteristic
931	#388	C₂×D₇₃	1	1	yes	characteristic
932	#387	—	73	1	no	—
933	#387	—	73	1	no	—
934	#387	—	73	1	no	—
935	#387	—	73	1	no	—
936	#387	—	73	1	no	—
937	#387	C₂×D₇₃	1	1	yes	characteristic, complemented
938	#387	C₂×D₇₃	1	1	yes	characteristic, complemented
939	#386	—	73	1	no	—
940	#386	—	73	1	no	—
941	#386	—	73	1	no	—
942	#386	—	73	1	no	—
943	#386	—	73	1	no	—
944	#386	—	73	1	no	—
945	#386	—	73	1	no	—
946	#386	—	73	1	no	—
947	#386	—	73	1	no	—
948	#386	—	73	1	no	—
949	#386	—	73	1	no	—
950	#386	—	73	1	no	—
951	#386	—	73	1	no	—
952	#386	—	73	1	no	—
953	#386	—	73	1	no	—
954	#386	—	73	1	no	—
955	#386	—	73	1	no	—
956	#386	—	73	1	no	—
957	#386	—	73	1	no	—
958	#386	—	73	1	no	—
959	#385	—	73	1	no	—
960	#385	—	73	1	no	—
961	#385	—	73	1	no	—
962	#385	—	73	1	no	—
963	#385	—	73	1	no	—
964	#385	—	73	1	no	—
965	#385	—	73	1	no	—
966	#385	—	73	1	no	—
967	#385	C₂×D₇₃	1	1	yes	characteristic
968	#385	C₂×D₇₃	1	1	yes	characteristic
969	#382	C₂×D₇₃	1	1	yes	characteristic, complemented
970	#381	—	73	1	no	—
971	#381	—	73	1	no	—
972	#381	C₂×D₇₃	1	1	yes	characteristic
973	#380	—	73	1	no	—
974	#380	—	73	1	no	—
975	#380	—	73	1	no	—
976	#380	—	73	1	no	—
977	#380	—	73	1	no	—
978	#379	—	73	1	no	—
979	#379	—	73	1	no	—
980	#379	—	73	1	no	—
981	#379	—	73	1	no	—
982	#379	—	73	1	no	—
983	#379	—	73	1	no	—
984	C₄×C₂²⋊C₄	—	73	1	no	—
985	C₂×#95	—	73	1	no	—
986	C₂×#95	—	73	1	no	—
987	C₂⁵	—	73	1	no	—
988	C₂⁵	—	73	1	no	—
989	C₂²×Q₈	—	73	1	no	—
990	C₂²×D₄	—	292	2	no	—
991	C₂²×D₄	—	292	2	no	—
992	C₂²×D₄	—	73	1	no	—
993	C₂²×D₄	—	73	1	no	—
994	C₂²×D₄	—	73	1	no	—
995	C₂²×D₄	—	73	1	no	—
996	C₂²×D₄	—	73	1	no	—
997	C₂²×D₄	—	73	1	no	—
998	C₂²×D₄	—	73	1	no	—
999	C₂²×D₄	—	73	1	no	—
1000	C₂²×D₄	—	73	1	no	—
1001	C₂²×D₄	—	146	4	no	—
1002	C₂³×C₄	—	73	1	no	—
1003	C₂³×C₄	—	73	1	no	—
1004	C₂³×C₄	—	73	1	no	—
1005	C₂³×C₄	—	73	1	no	—
1006	C₂³×C₄	—	73	1	no	—
1007	C₂³×C₄	—	73	1	no	—
1008	C₂³×C₄	—	73	1	no	—
1009	C₂³×C₄	—	73	1	no	—
1010	C₂³×C₄	—	73	1	no	—
1011	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1012	#126	—	292	2	no	—
1013	#123	—	292	2	no	—
1014	#123	—	292	2	no	—
1015	#123	—	292	2	no	—
1016	#123	—	292	2	no	—
1017	C₂²⋊Q₈	—	292	2	no	—
1018	C₂²⋊Q₈	—	292	2	no	—
1019	#121	—	292	2	no	—
1020	#121	—	292	2	no	—
1021	#120	—	292	2	no	—
1022	#120	—	146	4	no	—
1023	C₄×D₄	—	292	2	no	—
1024	C₂×C₄⋊C₄	—	292	2	no	—
1025	C₂×C₄⋊C₄	—	73	1	no	—
1026	C₂×C₄⋊C₄	—	73	1	no	—
1027	C₂×C₄⋊C₄	—	73	1	no	—
1028	C₂×C₄⋊C₄	—	73	1	no	—
1029	C₂×C₄⋊C₄	—	73	1	no	—
1030	C₂×C₄⋊C₄	—	73	1	no	—
1031	C₂×C₄⋊C₄	—	73	1	no	—
1032	C₂×C₄⋊C₄	—	73	1	no	—
1033	C₂×C₄⋊C₄	—	73	1	no	—
1034	C₂×C₄⋊C₄	—	73	1	no	—
1035	C₂×C₄⋊C₄	—	73	1	no	—
1036	C₂×C₄⋊C₄	—	73	1	no	—
1037	C₂×C₄⋊C₄	—	73	1	no	—
1038	C₂×C₄⋊C₄	—	73	1	no	—
1039	C₂×C₄⋊C₄	—	73	1	no	—
1040	C₂×C₄⋊C₄	—	73	1	no	—
1041	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	—	292	2	no	—
1052	C₂×C₂²⋊C₄	—	292	2	no	—
1053	C₂×C₂²⋊C₄	—	292	2	no	—
1054	C₂×C₂²⋊C₄	—	73	1	no	—
1055	C₂×C₂²⋊C₄	—	73	1	no	—
1056	C₂×C₂²⋊C₄	—	73	1	no	—
1057	C₂×C₂²⋊C₄	—	73	1	no	—
1058	C₂×C₂²⋊C₄	—	73	1	no	—
1059	C₂×C₂²⋊C₄	—	73	1	no	—
1060	C₂×C₂²⋊C₄	—	73	1	no	—
1061	C₂×C₂²⋊C₄	—	73	1	no	—
1062	C₂×C₂²⋊C₄	—	73	1	no	—
1063	C₂×C₂²⋊C₄	—	73	1	no	—
1064	C₂×C₂²⋊C₄	—	73	1	no	—
1065	C₂×C₂²⋊C₄	—	73	1	no	—
1066	C₂×C₂²⋊C₄	—	73	1	no	—
1067	C₂×C₂²⋊C₄	—	73	1	no	—
1068	C₂×C₂²⋊C₄	—	73	1	no	—
1069	C₂×C₂²⋊C₄	—	73	1	no	—
1070	C₂×C₂²⋊C₄	—	73	1	no	—
1071	C₂×C₂²⋊C₄	—	73	1	no	—
1072	C₂×C₂²⋊C₄	—	73	1	no	—
1073	C₂×C₂²⋊C₄	—	73	1	no	—
1074	C₂×C₂²⋊C₄	—	73	1	no	—
1075	C₂×C₂²⋊C₄	—	73	1	no	—
1076	C₂×C₂²⋊C₄	—	73	1	no	—
1077	C₂×C₂²⋊C₄	—	73	1	no	—
1078	C₂×C₂²⋊C₄	—	73	1	no	—
1079	C₂×C₂²⋊C₄	—	73	1	no	—
1080	C₂×C₂²⋊C₄	—	73	1	no	—
1081	C₂×C₂²⋊C₄	—	73	1	no	—
1082	C₂×C₂²⋊C₄	—	73	1	no	—
1083	C₂×C₂²⋊C₄	—	73	1	no	—
1084	C₂×C₂²⋊C₄	—	73	1	no	—
1085	C₂×C₂²⋊C₄	—	73	1	no	—
1086	C₂×C₂²⋊C₄	—	73	1	no	—
1087	C₂×C₂²⋊C₄	—	73	1	no	—
1088	C₂×C₂²⋊C₄	—	73	1	no	—
1089	C₂×C₂²⋊C₄	—	73	1	no	—
1090	C₂×C₂²⋊C₄	—	73	1	no	—
1091	C₂×C₂²⋊C₄	—	73	1	no	—
1092	C₂×C₂²⋊C₄	—	73	1	no	—
1093	C₂×C₂²⋊C₄	—	73	1	no	—
1094	C₂×C₂²⋊C₄	—	73	1	no	—
1095	C₂×C₂²⋊C₄	—	73	1	no	—
1096	C₂×C₂²⋊C₄	—	73	1	no	—
1097	C₂×C₂²⋊C₄	—	73	1	no	—
1098	C₂×C₂²⋊C₄	—	73	1	no	—
1099	C₂×C₂²⋊C₄	—	73	1	no	—
1100	C₂×C₂²⋊C₄	—	73	1	no	—
1101	C₂×C₂²⋊C₄	—	73	1	no	—
1102	C₂×C₂²⋊C₄	—	73	1	no	—
1103	C₂×C₂²⋊C₄	—	73	1	no	—
1104	C₂×C₂²⋊C₄	—	146	4	no	—
1105	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1111	C₂×C₄²	—	292	2	no	—
1112	C₂×C₄²	—	73	1	no	—
1113	C₂×C₄²	—	73	1	no	—
1114	C₂×C₄²	—	73	1	no	—
1115	C₂×C₄²	—	73	1	no	—
1116	C₂×C₄²	—	73	1	no	—
1117	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1118	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1119	#95	—	73	1	no	—
1120	#95	—	73	1	no	—
1121	#95	—	73	1	no	—
1122	#95	—	73	1	no	—
1123	#95	—	73	1	no	—
1124	#95	—	73	1	no	—
1125	#95	—	73	1	no	—
1126	#95	—	73	1	no	—
1127	#95	—	73	1	no	—
1128	#95	—	73	1	no	—
1129	#95	—	73	1	no	—
1130	#95	—	73	1	no	—
1131	#95	—	73	1	no	—
1132	#95	—	73	1	no	—
1133	#95	—	73	1	no	—
1134	#95	—	73	1	no	—
1135	#95	—	73	1	no	—
1136	#95	—	73	1	no	—
1137	#95	—	73	1	no	—
1138	#95	—	73	1	no	—
1139	#95	—	73	1	no	—
1140	#95	—	73	1	no	—
1141	#95	—	73	1	no	—
1142	#95	—	73	1	no	—
1143	#95	—	73	1	no	—
1144	#95	—	73	1	no	—
1145	#95	—	73	1	no	—
1146	#95	—	73	1	no	—
1147	#95	C₂²×D₇₃	1	1	yes	characteristic
1148	#95	C₂²×D₇₃	1	1	yes	characteristic
1149	#95	C₂²×D₇₃	1	1	yes	characteristic
1150	#95	C₂²×D₇₃	1	1	yes	characteristic
1151	#95	C₂²×D₇₃	1	1	yes	characteristic
1152	#95	C₂²×D₇₃	1	1	yes	characteristic
1153	#95	C₂²×D₇₃	1	1	yes	characteristic
1154	#95	C₂²×D₇₃	1	1	yes	characteristic
1155	#95	C₂²×D₇₃	1	1	yes	characteristic
1156	#95	C₂²×D₇₃	1	1	yes	characteristic
1157	#95	C₂²×D₇₃	1	1	yes	characteristic
1158	#95	C₂²×D₇₃	1	1	yes	characteristic
1159	#95	C₂²×D₇₃	1	1	yes	characteristic
1160	#95	C₂²×D₇₃	1	1	yes	characteristic
1161	#95	C₂²×D₇₃	1	1	yes	characteristic
1162	#95	C₂²×D₇₃	1	1	yes	characteristic
1163	C₂⁴	—	292	1	no	—
1164	C₂⁴	—	292	1	no	—
1165	C₂⁴	—	292	1	no	—
1166	C₂⁴	—	292	1	no	—
1167	C₂⁴	—	292	1	no	—
1168	C₂⁴	—	292	1	no	—
1169	C₂⁴	—	292	1	no	—
1170	C₂⁴	—	292	1	no	—
1171	C₂⁴	—	292	1	no	—
1172	C₂⁴	—	292	1	no	—
1173	C₂⁴	—	73	4	no	—
1174	C₂⁴	—	73	1	no	—
1175	C₂⁴	—	73	1	no	—
1176	C₂⁴	—	73	1	no	—
1177	C₂⁴	—	73	1	no	—
1178	C₂⁴	—	73	1	no	—
1179	C₂⁴	—	146	2	no	—
1180	C₂⁴	—	146	2	no	—
1181	C₂⁴	—	146	2	no	—
1182	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1183	C₂×Q₈	—	292	1	no	—
1184	C₂×Q₈	—	292	1	no	—
1185	C₂×Q₈	—	292	1	no	—
1186	C₂×D₄	—	292	1	no	—
1187	C₂×D₄	—	292	1	no	—
1188	C₂×D₄	—	292	1	no	—
1189	C₂×D₄	—	292	1	no	—
1190	C₂×D₄	—	292	1	no	—
1191	C₂×D₄	—	292	1	no	—
1192	C₂×D₄	—	292	1	no	—
1193	C₂×D₄	—	292	1	no	—
1194	C₂×D₄	—	292	1	no	—
1195	C₂×D₄	—	292	1	no	—
1196	C₂×D₄	—	292	1	no	—
1197	C₂×D₄	—	292	16	no	—
1198	C₂×D₄	—	292	1	no	—
1199	C₂×D₄	—	292	1	no	—
1200	C₂×D₄	—	146	2	no	—
1201	C₂×D₄	—	146	2	no	—
1202	C₂×D₄	—	146	2	no	—
1203	C₂×D₄	—	146	2	no	—
1204	C₂×D₄	—	146	2	no	—
1205	C₂×D₄	—	146	2	no	—
1206	C₂×D₄	—	146	2	no	—
1207	C₂×D₄	—	146	2	no	—
1208	C₂×D₄	—	146	2	no	—
1209	C₂×D₄	—	146	2	no	—
1210	C₂×D₄	—	146	2	no	—
1211	C₂×D₄	—	146	2	no	—
1212	C₂×D₄	—	146	2	no	—
1213	C₂×D₄	—	146	2	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	4	1	no	—
1216	C₂²×C₄	—	4	1	no	—
1217	C₂²×C₄	—	292	1	no	—
1218	C₂²×C₄	—	292	1	no	—
1219	C₂²×C₄	—	292	1	no	—
1220	C₂²×C₄	—	292	1	no	—
1221	C₂²×C₄	—	292	1	no	—
1222	C₂²×C₄	—	292	1	no	—
1223	C₂²×C₄	—	292	1	no	—
1224	C₂²×C₄	—	292	1	no	—
1225	C₂²×C₄	—	292	1	no	—
1226	C₂²×C₄	—	292	1	no	—
1227	C₂²×C₄	—	292	1	no	—
1228	C₂²×C₄	—	292	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	—	73	1	no	—
1236	C₂²×C₄	—	73	1	no	—
1237	C₂²×C₄	—	73	1	no	—
1238	C₂²×C₄	—	73	1	no	—
1239	C₂²×C₄	—	73	1	no	—
1240	C₂²×C₄	—	73	1	no	—
1241	C₂²×C₄	—	73	1	no	—
1242	C₂²×C₄	—	73	1	no	—
1243	C₂²×C₄	—	73	1	no	—
1244	C₂²×C₄	—	73	1	no	—
1245	C₂²×C₄	—	73	1	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	C₂³×D₇₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1257	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1258	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1259	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1260	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1261	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1262	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1263	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1264	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1265	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1266	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1267	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1268	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1269	C₄⋊C₄	—	2	2	no	—
1270	C₄⋊C₄	—	2	2	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	292	1	no	—
1280	C₄⋊C₄	—	292	1	no	—
1281	C₄⋊C₄	—	292	1	no	—
1282	C₄⋊C₄	—	292	1	no	—
1283	C₄⋊C₄	—	292	1	no	—
1284	C₄⋊C₄	—	292	1	no	—
1285	C₄⋊C₄	—	292	1	no	—
1286	C₄⋊C₄	—	292	1	no	—
1287	C₄⋊C₄	—	292	1	no	—
1288	C₄⋊C₄	—	292	1	no	—
1289	C₄⋊C₄	—	292	1	no	—
1290	C₄⋊C₄	—	292	1	no	—
1291	C₄⋊C₄	—	292	1	no	—
1292	C₄⋊C₄	—	292	1	no	—
1293	C₄⋊C₄	—	146	2	no	—
1294	C₄⋊C₄	—	146	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	292	1	no	—
1302	C₂²⋊C₄	—	292	1	no	—
1303	C₂²⋊C₄	—	292	1	no	—
1304	C₂²⋊C₄	—	292	1	no	—
1305	C₂²⋊C₄	—	292	1	no	—
1306	C₂²⋊C₄	—	292	1	no	—
1307	C₂²⋊C₄	—	292	1	no	—
1308	C₂²⋊C₄	—	292	1	no	—
1309	C₂²⋊C₄	—	292	1	no	—
1310	C₂²⋊C₄	—	292	1	no	—
1311	C₂²⋊C₄	—	292	1	no	—
1312	C₂²⋊C₄	—	292	1	no	—
1313	C₂²⋊C₄	—	292	1	no	—
1314	C₂²⋊C₄	—	292	1	no	—
1315	C₂²⋊C₄	—	292	1	no	—
1316	C₂²⋊C₄	—	292	1	no	—
1317	C₂²⋊C₄	—	292	1	no	—
1318	C₂²⋊C₄	—	292	1	no	—
1319	C₂²⋊C₄	—	292	1	no	—
1320	C₂²⋊C₄	—	292	1	no	—
1321	C₂²⋊C₄	—	292	1	no	—
1322	C₂²⋊C₄	—	292	1	no	—
1323	C₂²⋊C₄	—	292	1	no	—
1324	C₂²⋊C₄	—	292	1	no	—
1325	C₂²⋊C₄	—	292	1	no	—
1326	C₂²⋊C₄	—	292	1	no	—
1327	C₂²⋊C₄	—	292	1	no	—
1328	C₂²⋊C₄	—	292	1	no	—
1329	C₂²⋊C₄	—	292	1	no	—
1330	C₂²⋊C₄	—	292	1	no	—
1331	C₂²⋊C₄	—	292	1	no	—
1332	C₂²⋊C₄	—	292	1	no	—
1333	C₂²⋊C₄	—	292	1	no	—
1334	C₂²⋊C₄	—	292	1	no	—
1335	C₂²⋊C₄	—	292	1	no	—
1336	C₂²⋊C₄	—	292	1	no	—
1337	C₂²⋊C₄	—	292	1	no	—
1338	C₂²⋊C₄	—	292	1	no	—
1339	C₂²⋊C₄	—	292	1	no	—
1340	C₂²⋊C₄	—	146	2	no	—
1341	C₂²⋊C₄	—	146	2	no	—
1342	C₂²⋊C₄	—	146	2	no	—
1343	C₂²⋊C₄	—	146	2	no	—
1344	C₂²⋊C₄	—	146	2	no	—
1345	C₂²⋊C₄	—	146	2	no	—
1346	C₂²⋊C₄	—	146	2	no	—
1347	C₂²⋊C₄	—	146	2	no	—
1348	C₂²⋊C₄	—	146	2	no	—
1349	C₂²⋊C₄	—	146	2	no	—
1350	C₂²⋊C₄	—	146	2	no	—
1351	C₄²	—	4	1	no	—
1352	C₄²	—	4	1	no	—
1353	C₄²	—	292	1	no	—
1354	C₄²	—	292	1	no	—
1355	C₄²	—	292	1	no	—
1356	C₄²	—	292	1	no	—
1357	C₄²	—	292	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	292	4	no	—
1365	C₂³	—	292	4	no	—
1366	C₂³	—	292	4	no	—
1367	C₂³	—	584	2	no	—
1368	C₂³	—	584	2	no	—
1369	C₂³	—	584	2	no	—
1370	C₂³	—	584	2	no	—
1371	C₂³	—	584	2	no	—
1372	C₂³	—	584	2	no	—
1373	C₂³	—	584	2	no	—
1374	C₂³	—	584	2	no	—
1375	C₂³	—	584	2	no	—
1376	C₂³	—	584	2	no	—
1377	C₂³	—	73	2	no	—
1378	C₂³	—	73	2	no	—
1379	C₂³	—	73	2	no	—
1380	C₂³	—	73	2	no	—
1381	C₂³	—	146	8	no	—
1382	C₂³	—	146	1	no	—
1383	C₂³	—	146	1	no	—
1384	C₂³	—	146	1	no	—
1385	C₂³	—	146	1	no	—
1386	C₂³	—	146	1	no	—
1387	C₂³	—	146	1	no	—
1388	C₂³	—	146	1	no	—
1389	C₂³	—	146	1	no	—
1390	C₂³	—	146	1	no	—
1391	C₂³	—	146	1	no	—
1392	C₂³	—	146	1	no	—
1393	C₂³	—	146	1	no	—
1394	C₂³	—	146	1	no	—
1395	C₂³	—	146	1	no	—
1396	C₂³	—	146	1	no	—
1397	C₂³	—	146	1	no	—
1398	C₂³	—	146	1	no	—
1399	C₂³	—	146	1	no	—
1400	C₂³	—	146	1	no	—
1401	C₂³	—	146	1	no	—
1402	C₂³	—	146	1	no	—
1403	C₂³	—	146	1	no	—
1404	C₂³	—	146	1	no	—
1405	C₂³	—	146	1	no	—
1406	C₂³	—	146	1	no	—
1407	C₂³	—	146	1	no	—
1408	C₂³	—	146	1	no	—
1409	C₂³	—	146	1	no	—
1410	C₂³	—	146	1	no	—
1411	C₂³	—	146	1	no	—
1412	C₂³	—	146	1	no	—
1413	C₂³	#41×D₇₃	1	2	yes	—
1414	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1415	Q₈	—	584	2	no	—
1416	D₄	—	292	4	no	—
1417	D₄	—	292	4	no	—
1418	D₄	—	292	4	no	—
1419	D₄	—	292	4	no	—
1420	D₄	—	292	4	no	—
1421	D₄	—	584	2	no	—
1422	D₄	—	584	2	no	—
1423	D₄	—	584	2	no	—
1424	D₄	—	584	2	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	4	4	no	—
1467	C₂×C₄	—	292	4	no	—
1468	C₂×C₄	—	292	4	no	—
1469	C₂×C₄	—	292	4	no	—
1470	C₂×C₄	—	292	4	no	—
1471	C₂×C₄	—	584	2	no	—
1472	C₂×C₄	—	584	2	no	—
1473	C₂×C₄	—	584	2	no	—
1474	C₂×C₄	—	584	2	no	—
1475	C₂×C₄	—	584	2	no	—
1476	C₂×C₄	—	146	1	no	—
1477	C₂×C₄	—	146	1	no	—
1478	C₂×C₄	—	146	1	no	—
1479	C₂×C₄	—	146	1	no	—
1480	C₂×C₄	—	146	1	no	—
1481	C₂×C₄	—	146	1	no	—
1482	C₂×C₄	—	146	1	no	—
1483	C₂×C₄	—	146	1	no	—
1484	C₂×C₄	—	146	1	no	—
1485	C₂×C₄	—	146	1	no	—
1486	C₂×C₄	—	146	1	no	—
1487	C₂×C₄	—	146	1	no	—
1488	C₂×C₄	—	146	1	no	—
1489	C₂×C₄	—	146	1	no	—
1490	C₂×C₄	—	146	1	no	—
1491	C₂×C₄	—	146	1	no	—
1492	C₂×C₄	—	146	1	no	—
1493	C₂×C₄	—	146	1	no	—
1494	C₂×C₄	—	146	1	no	—
1495	C₂×C₄	—	146	1	no	—
1496	C₂×C₄	—	146	1	no	—
1497	C₂×C₄	—	146	1	no	—
1498	C₂×C₄	—	146	1	no	—
1499	C₂×C₄	—	146	1	no	—
1500	C₂×C₄	—	146	1	no	—
1501	C₂×C₄	—	146	1	no	—
1502	C₂×C₄	—	146	1	no	—
1503	C₂×C₄	—	146	1	no	—
1504	C₂×C₄	—	146	1	no	—
1505	C₂×C₄	—	146	1	no	—
1506	C₂×C₄	—	146	1	no	—
1507	C₂×C₄	—	146	1	no	—
1508	C₂×C₄	—	146	1	no	—
1509	C₂×C₄	#14556637	1	2	yes	—
1510	C₂²	—	2	2	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	2	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	292	1	no	—
1518	C₂²	—	292	1	no	—
1519	C₂²	—	292	1	no	—
1520	C₂²	—	292	1	no	—
1521	C₂²	—	292	1	no	—
1522	C₂²	—	292	1	no	—
1523	C₂²	—	292	1	no	—
1524	C₂²	—	292	1	no	—
1525	C₂²	—	292	1	no	—
1526	C₂²	—	292	1	no	—
1527	C₂²	—	292	1	no	—
1528	C₂²	—	292	1	no	—
1529	C₂²	—	292	1	no	—
1530	C₂²	—	292	1	no	—
1531	C₂²	—	292	1	no	—
1532	C₂²	—	292	1	no	—
1533	C₂²	—	292	1	no	—
1534	C₂²	—	292	1	no	—
1535	C₂²	—	292	1	no	—
1536	C₂²	—	292	1	no	—
1537	C₂²	—	292	1	no	—
1538	C₂²	—	292	1	no	—
1539	C₂²	—	292	1	no	—
1540	C₂²	—	292	1	no	—
1541	C₂²	—	292	1	no	—
1542	C₂²	—	584	8	no	—
1543	C₂²	—	584	8	no	—
1544	C₂²	—	73	4	no	—
1545	C₂²	—	146	2	no	—
1546	C₂²	—	146	2	no	—
1547	C₂²	—	146	2	no	—
1548	C₂²	—	146	2	no	—
1549	C₂²	—	146	2	no	—
1550	C₂²	—	146	2	no	—
1551	C₂²	—	146	2	no	—
1552	C₂²	—	146	2	no	—
1553	C₂²	—	146	2	no	—
1554	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1555	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1556	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1557	C₂²	C₂×#14556637	1	1	yes	characteristic
1558	C₂²	#17989423	1	1	yes	characteristic
1559	C₂²	#17989424	1	1	yes	characteristic
1560	C₂²	#17989424	1	1	yes	characteristic
1561	C₄	—	2	2	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	292	1	no	—
1576	C₄	—	292	1	no	—
1577	C₄	—	292	1	no	—
1578	C₄	—	292	1	no	—
1579	C₄	—	292	1	no	—
1580	C₄	—	292	1	no	—
1581	C₄	—	292	1	no	—
1582	C₄	—	292	1	no	—
1583	C₄	—	292	1	no	—
1584	C₄	—	292	1	no	—
1585	C₄	—	292	1	no	—
1586	C₂	—	4	2	no	—
1587	C₂	—	292	2	no	—
1588	C₂	—	584	1	no	—
1589	C₂	—	584	1	no	—
1590	C₂	—	584	1	no	—
1591	C₂	—	146	4	no	—
1592	C₂	#538×D₇₃	1	1	yes	characteristic
1593	C₂	#22623626	1	1	yes	characteristic
1594	C₂	#22623771	1	1	yes	characteristic
1595	C₂	#22624107	1	1	yes	characteristic
1596	C₂	#22624108	1	1	yes	characteristic
1597	C₂	#22624446	1	1	yes	characteristic
1598	C₂	#22624484	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Fitting	C₇₃×#2765	C₂
prime radical	#22613303	C₂
hypercenter	#2765	D₇₃
hypocenter	C₇₃	#36986
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2765

Complements

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

N	H ≅ G/N	type
1. #22618264	C₂	semidirect
2. #22618255	C₂	semidirect
3. #22617789	C₂	semidirect
4. #22617571	C₂	semidirect
5. #22617558	C₂	semidirect
6. #22617556	C₂	semidirect
7. #22617449	C₂	semidirect
8. #22617204	C₂	semidirect
9. #22617180	C₂	semidirect
10. #22617173	C₂	semidirect
11. #22617052	C₂	semidirect
12. #22616978	C₂	semidirect
13. #22616967	C₂	semidirect
14. #22616558	C₂	semidirect
15. #22616489	C₂	semidirect
16. #22616479	C₂	semidirect
17. #22616319	C₂	semidirect
18. #22615889	C₂	semidirect
19. #22615863	C₂	semidirect
20. #22614254	C₂	semidirect
21. #22614190	C₂	semidirect
22. #22613667	C₂	semidirect
23. #22613593	C₂	semidirect
24. #22613475	C₂	semidirect
25. #22613320	C₂	semidirect
27. #22613260	C₂	semidirect
28. #22612584	C₂	semidirect
29. #22612508	C₂	semidirect
30. #388×D₇₃	C₂	semidirect
31. C₇₃×#2765	C₂	semidirect
33. C₂×#14556586	C₂²	semidirect
36. C₂×#14556576	C₂²	semidirect
37. C₂×#14556576	C₂²	semidirect
38. C₂×#14556571	C₂²	semidirect
39. C₂×#14556569	C₂²	semidirect
44. C₂×#14556553	C₂²	semidirect
45. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
50. C₂×C₄²×D₇₃	C₂²	semidirect
51. #17988529	C₂²	semidirect
52. #17988529	C₂²	semidirect
53. #17988529	C₂²	semidirect
54. #17988528	C₂²	semidirect
55. #17988527	C₂²	semidirect
56. #17988527	C₂²	semidirect
57. #17988525	C₂²	semidirect
58. #17988525	C₂²	semidirect
60. #17988522	C₂²	semidirect
61. #17988516	C₂²	semidirect
62. #17988516	C₂²	semidirect
63. #17988516	C₂²	semidirect
64. #17988516	C₂²	semidirect
66. #17988514	C₂²	semidirect
67. #17988514	C₂²	semidirect
68. #17988514	C₂²	semidirect
69. #17988514	C₂²	semidirect
70. #17988513	C₂²	semidirect
71. #17988511	C₂²	semidirect
73. #17988509	C₂²	semidirect
74. #17988509	C₂²	semidirect
77. #17988505	C₂²	semidirect
78. #17988505	C₂²	semidirect
83. #17988504	C₂²	semidirect
84. #17988504	C₂²	semidirect
87. #17988500	C₂²	semidirect
88. #17988500	C₂²	semidirect
89. #17988500	C₂²	semidirect
93. #17988491	C₂²	semidirect
94. #17988489	C₂²	semidirect
95. #17988489	C₂²	semidirect
96. #17988488	C₂²	semidirect
98. #17988483	C₂²	semidirect
99. #17988482	C₂²	semidirect
103. #17988479	C₂²	semidirect
104. #17988479	C₂²	semidirect
105. #17988479	C₂²	semidirect
106. #17988478	C₂²	semidirect
107. #17988478	C₂²	semidirect
108. #17988478	C₂²	semidirect
109. #17988478	C₂²	semidirect
110. #17988477	C₂²	semidirect
111. #17988477	C₂²	semidirect
112. #17988477	C₂²	semidirect
113. #17988477	C₂²	semidirect
114. #17988477	C₂²	semidirect
115. #17988477	C₂²	semidirect
116. #17988476	C₂²	semidirect
117. #17988476	C₂²	semidirect
118. #17988476	C₂²	semidirect
119. #17988476	C₂²	semidirect
120. #17988476	C₂²	semidirect
121. #17988476	C₂²	semidirect
123. #17988472	C₂²	semidirect
124. #17988470	C₂²	semidirect
125. #17988469	C₂²	semidirect
126. #17988468	C₂²	semidirect
127. #17988468	C₂²	semidirect
141. #17988465	C₂²	semidirect
142. #17988465	C₂²	semidirect
143. #17988465	C₂²	semidirect
144. #17988465	C₂²	semidirect
145. #17988465	C₂²	semidirect
146. #17988465	C₂²	semidirect
148. #17988461	C₂²	semidirect
149. #17988461	C₂²	semidirect
150. #17988461	C₂²	semidirect
151. #17988461	C₂²	semidirect
153. #17988458	C₂²	semidirect
154. #17988458	C₂²	semidirect
155. #17988458	C₂²	semidirect
157. #17988449	C₂²	semidirect
158. #17988446	C₂²	semidirect
159. #17988446	C₂²	semidirect
160. #17988444	C₂²	semidirect
161. #17988444	C₂²	semidirect
162. #17988444	C₂²	semidirect
169. C₄×#11924005	C₂²	semidirect
170. #95×D₇₃	C₂²	semidirect
171. #95×D₇₃	C₂²	semidirect
172. #401×C₇₃	C₂²	semidirect
173. #400×C₇₃	C₂²	semidirect
174. #398×C₇₃	C₂²	semidirect
175. #398×C₇₃	C₂²	semidirect
178. #389×C₇₃	C₂²	semidirect
181. #387×C₇₃	C₂²	semidirect
182. #387×C₇₃	C₂²	semidirect
185. #382×C₇₃	C₂²	semidirect
807. #2765	D₇₃	semidirect
831. C₇₃	#36986	semidirect
851. #401	C₂×D₇₃	semidirect
860. #400	C₂×D₇₃	semidirect
863. #398	C₂×D₇₃	semidirect
864. #398	C₂×D₇₃	semidirect
906. #389	C₂×D₇₃	semidirect
937. #387	C₂×D₇₃	semidirect
938. #387	C₂×D₇₃	semidirect
969. #382	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22618264	2
#22618255	2
#22617789	2
#22617571	2
#22617558	2
#22617556	2
#22617449	2
#22617204	2
#22617180	2
#22617173	2
#22617052	2
#22616978	2
#22616967	2
#22616558	2
#22616489	2
#22616479	2
#22616319	2
#22615889	2
#22615863	2
#22614254	2
#22614190	2
#22613667	2
#22613593	2
#22613475	2
#22613320	2
#22613303	2
#22613260	2
#22612584	2
#22612508	2
#388×D₇₃	2
C₇₃×#2765	2
#36986	73