Subgroups — #33293774

Order 18688.

1512 conjugacy classes of subgroups.

The subgroup lattice has 1338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618266	C₂	1	1	yes	maximal, characteristic, complemented
2	#22618238	C₂	1	1	yes	maximal, characteristic, complemented
3	#22617883	C₂	1	1	yes	maximal, characteristic, complemented
4	#22617876	C₂	1	1	yes	maximal, characteristic
5	#22617697	C₂	1	1	yes	maximal, characteristic, complemented
6	#22617680	C₂	1	1	yes	maximal, characteristic, complemented
7	#22617675	C₂	1	1	yes	maximal, characteristic, complemented
8	#22617631	C₂	1	1	yes	maximal, characteristic
9	#22617585	C₂	1	1	yes	maximal, characteristic
10	#22617488	C₂	1	1	yes	maximal, characteristic, complemented
11	#22617344	C₂	1	1	yes	maximal, characteristic, complemented
12	#22617344	C₂	1	1	yes	maximal, characteristic, complemented
13	#22617244	C₂	1	1	yes	maximal, characteristic, complemented
14	#22617058	C₂	1	1	yes	maximal, characteristic, complemented
15	#22616908	C₂	1	1	yes	maximal, characteristic, complemented
16	#22616806	C₂	1	1	yes	maximal, characteristic, complemented
17	#22616719	C₂	1	1	yes	maximal, characteristic, complemented
18	#22616429	C₂	1	1	yes	maximal, characteristic
19	#22616107	C₂	1	1	yes	maximal, characteristic, complemented
20	#22616107	C₂	1	1	yes	maximal, characteristic, complemented
21	#22615639	C₂	1	1	yes	maximal, characteristic, complemented
22	#22615595	C₂	1	1	yes	maximal, characteristic, complemented
23	#22615574	C₂	1	1	yes	maximal, characteristic, complemented
24	#22615574	C₂	1	1	yes	maximal, characteristic, complemented
25	#22615154	C₂	1	1	yes	maximal, characteristic, complemented
26	#22613621	C₂	1	1	yes	maximal, characteristic, complemented
27	#22613606	C₂	1	1	yes	maximal, characteristic, complemented
28	#22612569	C₂	1	1	yes	maximal, characteristic
29	#22612567	C₂	1	1	yes	maximal, characteristic
30	#22612372	C₂	1	1	yes	maximal, characteristic
31	C₇₃×#2570	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556590	C₂²	1	1	yes	characteristic
33	C₂×#14556581	C₂²	1	1	yes	characteristic
34	C₂×#14556569	C₂²	1	1	yes	characteristic
35	C₂×#14556569	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
37	C₂×#14556548	C₂²	1	1	yes	characteristic
38	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic
39	#17988528	C₂²	1	1	yes	characteristic
40	#17988528	C₂²	1	1	yes	characteristic
41	#17988528	C₂²	1	1	yes	characteristic
42	#17988528	C₂²	1	1	yes	characteristic
43	#17988528	C₂²	1	1	yes	characteristic
44	#17988526	C₂²	1	1	yes	characteristic
45	#17988526	C₂²	1	1	yes	characteristic
46	#17988526	C₂²	1	1	yes	characteristic
47	#17988526	C₂²	1	1	yes	characteristic
48	#17988526	C₂²	1	1	yes	characteristic
49	#17988525	C₂²	1	1	yes	characteristic
50	#17988525	C₂²	1	1	yes	characteristic
51	#17988522	C₂²	1	1	yes	characteristic
52	#17988522	C₂²	1	1	yes	characteristic
53	#17988520	C₂²	1	1	yes	characteristic
54	#17988520	C₂²	1	1	yes	characteristic
55	#17988520	C₂²	1	1	yes	characteristic
56	#17988520	C₂²	1	1	yes	characteristic
57	#17988518	C₂²	1	1	yes	characteristic
58	#17988517	C₂²	1	1	yes	characteristic
59	#17988509	C₂²	1	1	yes	characteristic
60	#17988509	C₂²	1	1	yes	characteristic
61	#17988509	C₂²	1	1	yes	characteristic
62	#17988509	C₂²	1	1	yes	characteristic
63	#17988509	C₂²	1	1	yes	characteristic
64	#17988509	C₂²	1	1	yes	characteristic
65	#17988508	C₂²	1	1	yes	characteristic
66	#17988508	C₂²	1	1	yes	characteristic
67	#17988508	C₂²	1	1	yes	characteristic
68	#17988507	C₂²	1	1	yes	characteristic
69	#17988507	C₂²	1	1	yes	characteristic
70	#17988507	C₂²	1	1	yes	characteristic
71	#17988507	C₂²	1	1	yes	characteristic
72	#17988507	C₂²	1	1	yes	characteristic
73	#17988507	C₂²	1	1	yes	characteristic
74	#17988507	C₂²	1	1	yes	characteristic
75	#17988500	C₂²	1	1	yes	characteristic
76	#17988500	C₂²	1	1	yes	characteristic
77	#17988500	C₂²	1	1	yes	characteristic
78	#17988500	C₂²	1	1	yes	characteristic
79	#17988500	C₂²	1	1	yes	characteristic
80	#17988500	C₂²	1	1	yes	characteristic
81	#17988500	C₂²	1	1	yes	characteristic
82	#17988500	C₂²	1	1	yes	characteristic
83	#17988493	C₂²	1	1	yes	characteristic
84	#17988493	C₂²	1	1	yes	characteristic
85	#17988493	C₂²	1	1	yes	characteristic
86	#17988493	C₂²	1	1	yes	characteristic
87	#17988492	C₂²	1	1	yes	characteristic
88	#17988491	C₂²	1	1	yes	characteristic
89	#17988491	C₂²	1	1	yes	characteristic
90	#17988491	C₂²	1	1	yes	characteristic
91	#17988491	C₂²	1	1	yes	characteristic
92	#17988491	C₂²	1	1	yes	characteristic
93	#17988491	C₂²	1	1	yes	characteristic
94	#17988491	C₂²	1	1	yes	characteristic
95	#17988491	C₂²	1	1	yes	characteristic
96	#17988488	C₂²	1	1	yes	characteristic
97	#17988488	C₂²	1	1	yes	characteristic
98	#17988484	C₂²	1	1	yes	characteristic
99	#17988484	C₂²	1	1	yes	characteristic
100	#17988484	C₂²	1	1	yes	characteristic
101	#17988484	C₂²	1	1	yes	characteristic
102	#17988483	C₂²	1	1	yes	characteristic
103	#17988483	C₂²	1	1	yes	characteristic
104	#17988482	C₂²	1	1	yes	characteristic
105	#17988482	C₂²	1	1	yes	characteristic
106	#17988482	C₂²	1	1	yes	characteristic
107	#17988478	C₂²	1	1	yes	characteristic
108	#17988478	C₂²	1	1	yes	characteristic
109	#17988478	C₂²	1	1	yes	characteristic
110	#17988478	C₂²	1	1	yes	characteristic
111	#17988477	C₂²	1	1	yes	characteristic
112	#17988477	C₂²	1	1	yes	characteristic
113	#17988477	C₂²	1	1	yes	characteristic
114	#17988477	C₂²	1	1	yes	characteristic
115	#17988474	C₂²	1	1	yes	characteristic
116	#17988474	C₂²	1	1	yes	characteristic
117	#17988472	C₂²	1	1	yes	characteristic
118	#17988472	C₂²	1	1	yes	characteristic
119	#17988472	C₂²	1	1	yes	characteristic
120	#17988471	C₂²	1	1	yes	characteristic
121	#17988471	C₂²	1	1	yes	characteristic
122	#17988471	C₂²	1	1	yes	characteristic
123	#17988471	C₂²	1	1	yes	characteristic
124	#17988470	C₂²	1	1	yes	characteristic
125	#17988470	C₂²	1	1	yes	characteristic
126	#17988470	C₂²	1	1	yes	characteristic
127	#17988470	C₂²	1	1	yes	characteristic
128	#17988470	C₂²	1	1	yes	characteristic
129	#17988470	C₂²	1	1	yes	characteristic
130	#17988470	C₂²	1	1	yes	characteristic
131	#17988470	C₂²	1	1	yes	characteristic
132	#17988469	C₂²	1	1	yes	characteristic
133	#17988468	C₂²	1	1	yes	characteristic
134	#17988468	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	#17988461	C₂²	1	1	yes	characteristic
140	#17988461	C₂²	1	1	yes	characteristic
141	#17988461	C₂²	1	1	yes	characteristic
142	#17988461	C₂²	1	1	yes	characteristic
143	#17988461	C₂²	1	1	yes	characteristic
144	#17988461	C₂²	1	1	yes	characteristic
145	#17988458	C₂²	1	1	yes	characteristic
146	#17988458	C₂²	1	1	yes	characteristic
147	#17988458	C₂²	1	1	yes	characteristic
148	#17988458	C₂²	1	1	yes	characteristic
149	#17988458	C₂²	1	1	yes	characteristic
150	#17988458	C₂²	1	1	yes	characteristic
151	#17988458	C₂²	1	1	yes	characteristic
152	#17988458	C₂²	1	1	yes	characteristic
153	#17988455	C₂²	1	1	yes	characteristic
154	#17988451	C₂²	1	1	yes	characteristic
155	#17988451	C₂²	1	1	yes	characteristic
156	#17988449	C₂²	1	1	yes	characteristic
157	#17988449	C₂²	1	1	yes	characteristic
158	#17988449	C₂²	1	1	yes	characteristic
159	#17988446	C₂²	1	1	yes	characteristic
160	#17988446	C₂²	1	1	yes	characteristic
161	#17988446	C₂²	1	1	yes	characteristic
162	#17988446	C₂²	1	1	yes	characteristic
163	#17988446	C₂²	1	1	yes	characteristic
164	#17988444	C₂²	1	1	yes	characteristic
165	#17988444	C₂²	1	1	yes	characteristic
166	C₄×#11924005	C₂²	1	1	yes	characteristic
167	C₄×#11924005	C₂²	1	1	yes	characteristic
168	#17988434	C₂²	1	1	yes	characteristic
169	#17988433	C₂²	1	1	yes	characteristic
170	#17988433	C₂²	1	1	yes	characteristic
171	#95×D₇₃	C₂²	1	1	yes	characteristic
172	#400×C₇₃	C₂²	1	1	yes	characteristic
173	#400×C₇₃	C₂²	1	1	yes	characteristic
174	#398×C₇₃	C₂²	1	1	yes	characteristic
175	#398×C₇₃	C₂²	1	1	yes	characteristic
176	#389×C₇₃	C₂²	1	1	yes	characteristic
177	#389×C₇₃	C₂²	1	1	yes	characteristic
178	#387×C₇₃	C₂²	1	1	yes	characteristic
179	#387×C₇₃	C₂²	1	1	yes	characteristic
180	#387×C₇₃	C₂²	1	1	yes	characteristic
181	#387×C₇₃	C₂²	1	1	yes	characteristic
182	#384×C₇₃	C₂²	1	1	yes	characteristic
183	#382×C₇₃	C₂²	1	1	yes	characteristic
184	#382×C₇₃	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
192	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
199	#14556590	—	4	2	no	—
200	#14556581	—	4	2	no	—
201	#14556569	—	4	2	no	—
202	#14556569	—	4	2	no	—
203	C₄×D₂₉₂	Q₈	1	8	yes	complemented
204	#14556548	—	4	2	no	—
205	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
213	C₂×#11924007	C₂³	1	1	yes	characteristic
214	C₂×#11924007	C₂³	1	1	yes	characteristic
215	C₂×#11924007	C₂³	1	1	yes	characteristic
216	C₂×#11924007	C₂³	1	1	yes	characteristic
217	C₂×#11924007	C₂³	1	1	yes	characteristic
218	C₂×#11924007	C₂³	1	1	yes	characteristic
219	C₂×#11924007	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×#11924005	C₂³	1	1	yes	characteristic
236	C₂×#11924005	C₂³	1	1	yes	characteristic
237	C₂×#11924005	C₂³	1	1	yes	characteristic
238	C₂×#11924005	C₂³	1	1	yes	characteristic
239	C₂×#11924005	C₂³	1	1	yes	characteristic
240	C₂×#11924005	C₂³	1	1	yes	characteristic
241	C₂×#11924005	C₂³	1	1	yes	characteristic
242	C₂×#11924005	C₂³	1	1	yes	characteristic
243	C₂×#11924005	C₂³	1	1	yes	characteristic
244	C₂×#11924005	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×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
265	C₄²×D₇₃	—	4	2	no	—
266	#14556498	C₂³	1	1	yes	characteristic
267	#14556498	C₂³	1	1	yes	characteristic
268	#14556498	C₂³	1	1	yes	characteristic
269	#14556498	C₂³	1	1	yes	characteristic
270	#14556498	C₂³	1	1	yes	characteristic
271	#14556498	C₂³	1	1	yes	characteristic
272	#14556498	C₂³	1	1	yes	characteristic
273	#14556498	C₂³	1	1	yes	characteristic
274	#14556498	C₂³	1	1	yes	characteristic
275	#14556498	C₂³	1	1	yes	characteristic
276	#14556498	C₂³	1	1	yes	characteristic
277	#14556498	C₂³	1	1	yes	characteristic
278	#14556498	C₂³	1	1	yes	characteristic
279	#14556498	C₂³	1	1	yes	characteristic
280	#14556498	C₂³	1	1	yes	characteristic
281	#14556498	C₂³	1	1	yes	characteristic
282	#14556498	C₂³	1	1	yes	characteristic
283	#14556498	C₂³	1	1	yes	characteristic
284	#14556498	C₂³	1	1	yes	characteristic
285	#14556498	C₂³	1	1	yes	characteristic
286	#14556498	C₂³	1	1	yes	characteristic
287	#14556498	C₂³	1	1	yes	characteristic
288	#14556498	C₂³	1	1	yes	characteristic
289	#14556498	C₂³	1	1	yes	characteristic
290	#14556498	C₂³	1	1	yes	characteristic
291	#14556498	C₂³	1	1	yes	characteristic
292	#14556498	C₂³	1	1	yes	characteristic
293	#14556498	C₂³	1	1	yes	characteristic
294	#14556498	C₂³	1	1	yes	characteristic
295	#14556498	C₂³	1	1	yes	characteristic
296	#14556498	C₂³	1	1	yes	characteristic
297	#14556498	C₂³	1	1	yes	characteristic
298	#14556498	C₂³	1	1	yes	characteristic
299	#14556498	C₂³	1	1	yes	characteristic
300	#14556498	C₂³	1	1	yes	characteristic
301	#14556498	C₂³	1	1	yes	characteristic
302	#14556498	C₂³	1	1	yes	characteristic
303	#14556498	C₂³	1	1	yes	characteristic
304	#14556498	C₂³	1	1	yes	characteristic
305	#14556498	C₂³	1	1	yes	characteristic
306	#14556498	C₂³	1	1	yes	characteristic
307	#14556498	C₂³	1	1	yes	characteristic
308	#14556498	C₂³	1	1	yes	characteristic
309	#14556498	C₂³	1	1	yes	characteristic
310	#14556498	C₂³	1	1	yes	characteristic
311	#14556498	C₂³	1	1	yes	characteristic
312	#14556498	C₂³	1	1	yes	characteristic
313	#14556498	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
333	#95×C₇₃	C₂³	1	1	yes	characteristic
334	#95×C₇₃	C₂³	1	1	yes	characteristic
335	#95×C₇₃	C₂³	1	1	yes	characteristic
336	#95×C₇₃	C₂³	1	1	yes	characteristic
337	#95×C₇₃	C₂³	1	1	yes	characteristic
338	#95×C₇₃	C₂³	1	1	yes	characteristic
339	#95×C₇₃	C₂³	1	1	yes	characteristic
340	#95×C₇₃	C₂³	1	1	yes	characteristic
341	#95×C₇₃	C₂³	1	1	yes	characteristic
342	#95×C₇₃	C₂³	1	1	yes	characteristic
343	#95×C₇₃	C₂³	1	1	yes	characteristic
344	#95×C₇₃	C₂³	1	1	yes	characteristic
345	#95×C₇₃	C₂³	1	1	yes	characteristic
346	#95×C₇₃	C₂³	1	1	yes	characteristic
347	#95×C₇₃	C₂³	1	1	yes	characteristic
348	#95×C₇₃	C₂³	1	1	yes	characteristic
349	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
350	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
351	C₂×Dic₁₄₆	—	2	2	no	—
352	C₂×Dic₁₄₆	—	4	1	no	—
353	C₂×Dic₁₄₆	—	4	1	no	—
354	C₂×Dic₁₄₆	—	4	1	no	—
355	C₂×Dic₁₄₆	—	4	1	no	—
356	C₂×Dic₁₄₆	—	4	1	no	—
357	C₂×Dic₁₄₆	—	4	1	no	—
358	C₂×Dic₁₄₆	—	4	1	no	—
359	C₂×Dic₁₄₆	—	4	1	no	—
360	C₂×Dic₁₄₆	—	4	1	no	—
361	C₂×Dic₁₄₆	—	4	1	no	—
362	C₂×Dic₁₄₆	—	4	1	no	—
363	C₂×Dic₁₄₆	—	4	1	no	—
364	C₂×Dic₁₄₆	—	4	1	no	—
365	C₂×Dic₁₄₆	—	4	1	no	—
366	C₂×D₂₉₂	—	4	1	no	—
367	C₂×D₂₉₂	—	4	1	no	—
368	C₂×D₂₉₂	C₂×Q₈	1	4	yes	—
369	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
383	C₂×C₄×D₇₃	—	2	2	no	—
384	C₂×C₄×D₇₃	—	4	1	no	—
385	C₂×C₄×D₇₃	—	4	1	no	—
386	C₂×C₄×D₇₃	—	4	1	no	—
387	C₂×C₄×D₇₃	—	4	1	no	—
388	C₂×C₄×D₇₃	—	4	1	no	—
389	C₂×C₄×D₇₃	—	4	1	no	—
390	C₂×C₄×D₇₃	—	4	1	no	—
391	C₂×C₄×D₇₃	—	4	1	no	—
392	C₂×C₄×D₇₃	—	4	1	no	—
393	C₂×C₄×D₇₃	—	4	1	no	—
394	C₂×C₄×D₇₃	—	4	1	no	—
395	C₂×C₄×D₇₃	—	4	1	no	—
396	C₂×C₄×D₇₃	—	4	1	no	—
397	C₂×C₄×D₇₃	—	4	1	no	—
398	C₂×C₄×D₇₃	—	4	1	no	—
399	C₂×C₄×D₇₃	C₂×Q₈	1	4	yes	—
400	C₂×C₄×D₇₃	C₂×Q₈	1	4	yes	—
401	C₄⋊Dic₇₃	—	2	2	no	—
402	C₄⋊Dic₇₃	—	4	1	no	—
403	C₄⋊Dic₇₃	—	4	1	no	—
404	C₄⋊Dic₇₃	—	4	1	no	—
405	C₄⋊Dic₇₃	—	4	1	no	—
406	C₄⋊Dic₇₃	—	4	1	no	—
407	C₄⋊Dic₇₃	—	4	1	no	—
408	C₄⋊Dic₇₃	C₂×Q₈	1	4	yes	—
409	#11924007	—	2	2	no	—
410	#11924007	—	2	2	no	—
411	#11924007	—	2	2	no	—
412	#11924007	—	4	1	no	—
413	#11924007	—	4	1	no	—
414	#11924007	—	4	1	no	—
415	#11924007	—	4	1	no	—
416	#11924007	—	4	1	no	—
417	#11924007	—	4	1	no	—
418	#11924007	—	4	1	no	—
419	#11924007	—	4	1	no	—
420	#11924007	—	4	1	no	—
421	#11924007	—	4	1	no	—
422	#11924007	—	4	1	no	—
423	#11924007	—	4	1	no	—
424	#11924007	—	4	1	no	—
425	#11924007	—	4	1	no	—
426	#11924007	—	4	1	no	—
427	#11924007	—	4	1	no	—
428	#11924007	—	4	1	no	—
429	#11924007	—	4	1	no	—
430	#11924007	—	4	1	no	—
431	#11924005	—	2	2	no	—
432	#11924005	—	4	1	no	—
433	#11924005	—	4	1	no	—
434	#11924005	—	4	1	no	—
435	#11924005	—	4	1	no	—
436	#11924005	—	4	1	no	—
437	#11924005	—	4	1	no	—
438	#11924005	—	4	1	no	—
439	#11924005	—	4	1	no	—
440	#11924005	—	4	1	no	—
441	#11924005	—	4	1	no	—
442	#11924005	—	4	1	no	—
443	#11924005	—	4	1	no	—
444	#11924005	—	4	1	no	—
445	#11924005	—	4	1	no	—
446	#11924005	—	4	1	no	—
447	#11924005	—	4	1	no	—
448	#11924005	—	4	1	no	—
449	#11924005	—	4	1	no	—
450	#11924005	—	4	1	no	—
451	#11924005	C₂×Q₈	1	4	yes	—
452	#11924005	C₂×Q₈	1	4	yes	—
453	C₄×Dic₇₃	—	2	2	no	—
454	C₄×Dic₇₃	—	2	2	no	—
455	C₄×Dic₇₃	—	4	1	no	—
456	C₄×Dic₇₃	—	4	1	no	—
457	C₄×Dic₇₃	—	4	1	no	—
458	C₄×Dic₇₃	—	4	1	no	—
459	C₄×Dic₇₃	—	4	1	no	—
460	C₄×Dic₇₃	—	4	1	no	—
461	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
476	C₄⋊C₄×C₇₃	—	4	1	no	—
477	C₄⋊C₄×C₇₃	—	4	1	no	—
478	C₄⋊C₄×C₇₃	—	4	1	no	—
479	C₄⋊C₄×C₇₃	—	4	1	no	—
480	C₄⋊C₄×C₇₃	—	4	1	no	—
481	C₄⋊C₄×C₇₃	—	4	1	no	—
482	C₄⋊C₄×C₇₃	—	4	1	no	—
483	C₄⋊C₄×C₇₃	—	4	1	no	—
484	C₄⋊C₄×C₇₃	—	4	1	no	—
485	C₄⋊C₄×C₇₃	—	4	1	no	—
486	C₄⋊C₄×C₇₃	—	4	1	no	—
487	C₄⋊C₄×C₇₃	—	4	1	no	—
488	C₄⋊C₄×C₇₃	—	4	1	no	—
489	C₄⋊C₄×C₇₃	—	4	1	no	—
490	C₄²×C₇₃	—	4	1	no	—
491	C₄²×C₇₃	—	4	1	no	—
492	C₄²×C₇₃	—	4	1	no	—
493	C₄²×C₇₃	—	4	1	no	—
494	C₄²×C₇₃	C₂×Q₈	1	4	yes	—
495	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
496	C₂²×D₇₃	—	2	1	no	—
497	C₂²×D₇₃	—	2	1	no	—
498	C₂²×D₇₃	—	2	1	no	—
499	C₂²×D₇₃	—	2	1	no	—
500	C₂²×D₇₃	—	2	1	no	—
501	C₂²×D₇₃	—	2	1	no	—
502	C₂²×D₇₃	—	2	1	no	—
503	C₂²×D₇₃	—	2	1	no	—
504	C₂²×D₇₃	—	2	1	no	—
505	C₂²×D₇₃	—	2	1	no	—
506	C₂²×D₇₃	—	2	1	no	—
507	C₂²×D₇₃	—	2	1	no	—
508	C₂²×D₇₃	C₂²×Q₈	1	2	yes	—
509	C₂²×D₇₃	C₂²×Q₈	1	2	yes	—
510	C₂×C₄×C₇₃	—	2	1	no	—
511	C₂×C₄×C₇₃	—	2	1	no	—
512	C₂×C₄×C₇₃	—	2	1	no	—
513	C₂×C₄×C₇₃	—	2	1	no	—
514	C₂×C₄×C₇₃	—	2	1	no	—
515	C₂×C₄×C₇₃	—	2	1	no	—
516	C₂×C₄×C₇₃	—	2	1	no	—
517	C₂×C₄×C₇₃	—	2	1	no	—
518	C₂×C₄×C₇₃	—	2	1	no	—
519	C₂×C₄×C₇₃	—	2	1	no	—
520	C₂×C₄×C₇₃	—	2	1	no	—
521	C₂×C₄×C₇₃	—	2	1	no	—
522	C₂×C₄×C₇₃	—	2	1	no	—
523	C₂×C₄×C₇₃	—	2	1	no	—
524	C₂×C₄×C₇₃	—	2	1	no	—
525	C₂×C₄×C₇₃	—	2	1	no	—
526	C₂×C₄×C₇₃	—	2	1	no	—
527	C₂×C₄×C₇₃	—	2	1	no	—
528	C₂×C₄×C₇₃	—	2	1	no	—
529	C₂×C₄×C₇₃	—	2	1	no	—
530	C₂×C₄×C₇₃	—	2	1	no	—
531	C₂×C₄×C₇₃	—	2	1	no	—
532	C₂×C₄×C₇₃	—	2	1	no	—
533	C₂×C₄×C₇₃	—	2	1	no	—
534	C₂×C₄×C₇₃	—	2	1	no	—
535	C₂×C₄×C₇₃	—	2	1	no	—
536	C₂×C₄×C₇₃	—	2	1	no	—
537	C₂×C₄×C₇₃	—	2	1	no	—
538	C₂×C₄×C₇₃	—	2	1	no	—
539	C₂×C₄×C₇₃	—	2	1	no	—
540	C₂×C₄×C₇₃	—	2	1	no	—
541	C₂×C₄×C₇₃	—	2	1	no	—
542	C₂×C₄×C₇₃	—	2	1	no	—
543	C₂×C₄×C₇₃	—	2	1	no	—
544	C₂×C₄×C₇₃	—	2	1	no	—
545	C₂×C₄×C₇₃	—	2	1	no	—
546	C₂×C₄×C₇₃	—	2	1	no	—
547	C₂×C₄×C₇₃	—	2	1	no	—
548	C₂×C₄×C₇₃	—	2	1	no	—
549	C₂×C₄×C₇₃	—	2	1	no	—
550	C₂×C₄×C₇₃	—	2	1	no	—
551	C₂×C₄×C₇₃	—	2	1	no	—
552	C₂×C₄×C₇₃	C₂²×Q₈	1	2	yes	—
553	C₂×C₄×C₇₃	C₂²×Q₈	1	2	yes	—
554	C₂×C₄×C₇₃	C₂²×Q₈	1	2	yes	—
555	C₂×Dic₇₃	—	2	1	no	—
556	C₂×Dic₇₃	—	2	1	no	—
557	C₂×Dic₇₃	—	2	1	no	—
558	C₂×Dic₇₃	—	2	1	no	—
559	C₂×Dic₇₃	—	2	1	no	—
560	C₂×Dic₇₃	—	2	1	no	—
561	C₂×Dic₇₃	—	2	1	no	—
562	C₂×Dic₇₃	—	2	1	no	—
563	C₂×Dic₇₃	—	2	1	no	—
564	C₂×Dic₇₃	—	2	1	no	—
565	C₂×Dic₇₃	—	2	1	no	—
566	C₂×Dic₇₃	—	2	1	no	—
567	C₂×Dic₇₃	—	2	1	no	—
568	C₂×Dic₇₃	—	2	1	no	—
569	C₂×Dic₇₃	—	2	1	no	—
570	C₂×Dic₇₃	—	2	1	no	—
571	C₂×Dic₇₃	—	2	1	no	—
572	C₂×Dic₇₃	—	2	1	no	—
573	C₂×Dic₇₃	—	2	1	no	—
574	C₂×Dic₇₃	—	2	1	no	—
575	C₂×Dic₇₃	—	2	1	no	—
576	C₂×Dic₇₃	—	2	1	no	—
577	C₂×Dic₇₃	—	2	1	no	—
578	C₂×Dic₇₃	—	2	1	no	—
579	C₂×Dic₇₃	—	2	1	no	—
580	C₂×Dic₇₃	—	2	1	no	—
581	C₂×Dic₇₃	—	2	1	no	—
582	C₂×Dic₇₃	—	2	1	no	—
583	C₂×Dic₇₃	—	2	1	no	—
584	C₂×Dic₇₃	—	2	1	no	—
585	C₂×Dic₇₃	—	2	1	no	—
586	C₂×Dic₇₃	—	2	1	no	—
587	C₂×Dic₇₃	—	2	1	no	—
588	C₂×Dic₇₃	—	2	1	no	—
589	C₂×Dic₇₃	—	2	1	no	—
590	C₂×Dic₇₃	—	2	1	no	—
591	C₂×Dic₇₃	—	2	1	no	—
592	C₂×Dic₇₃	—	2	1	no	—
593	C₂×Dic₇₃	—	2	1	no	—
594	C₂×Dic₇₃	C₂²×Q₈	1	2	yes	—
595	C₂×Dic₇₃	C₂²×Q₈	1	2	yes	—
596	C₂×Dic₇₃	H(5,𝔽₂)	1	2	yes	—
597	D₂₉₂	—	4	4	no	—
598	C₄×D₇₃	—	4	4	no	—
599	C₄×D₇₃	—	4	4	no	—
600	C₄×D₇₃	—	4	4	no	—
601	C₄×D₇₃	—	4	4	no	—
602	C₄×D₇₃	—	8	2	no	—
603	C₄×D₇₃	—	8	2	no	—
604	Dic₁₄₆	—	8	2	no	—
605	Dic₁₄₆	—	8	2	no	—
606	Dic₁₄₆	—	8	2	no	—
607	Dic₁₄₆	—	8	2	no	—
608	Dic₁₄₆	—	8	2	no	—
609	C₂²×C₇₃	C₂³×Q₈	1	1	yes	characteristic
610	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
611	C₂²×C₇₃	#585	1	1	yes	characteristic
612	C₂²×C₇₃	#585	1	1	yes	characteristic
613	C₂²×C₇₃	#585	1	1	yes	characteristic
614	C₂²×C₇₃	#585	1	1	yes	characteristic
615	C₂²×C₇₃	#585	1	1	yes	characteristic
616	C₂×D₇₃	—	2	2	no	—
617	C₂×D₇₃	—	2	2	no	—
618	C₂×D₇₃	—	2	2	no	—
619	C₂×D₇₃	—	2	2	no	—
620	C₂×D₇₃	—	2	2	no	—
621	C₂×D₇₃	—	2	2	no	—
622	C₂×D₇₃	—	4	1	no	—
623	C₂×D₇₃	—	4	1	no	—
624	C₂×D₇₃	—	4	1	no	—
625	C₂×D₇₃	—	4	1	no	—
626	C₂×D₇₃	—	4	1	no	—
627	C₂×D₇₃	—	4	1	no	—
628	C₂×D₇₃	—	4	1	no	—
629	C₂×D₇₃	—	4	1	no	—
630	C₄×C₇₃	—	2	2	no	—
631	C₄×C₇₃	—	2	2	no	—
632	C₄×C₇₃	—	2	2	no	—
633	C₄×C₇₃	—	4	1	no	—
634	C₄×C₇₃	—	4	1	no	—
635	C₄×C₇₃	—	4	1	no	—
636	C₄×C₇₃	—	4	1	no	—
637	C₄×C₇₃	—	4	1	no	—
638	C₄×C₇₃	—	4	1	no	—
639	C₄×C₇₃	—	4	1	no	—
640	C₄×C₇₃	—	4	1	no	—
641	C₄×C₇₃	—	4	1	no	—
642	C₄×C₇₃	—	4	1	no	—
643	C₄×C₇₃	—	4	1	no	—
644	C₄×C₇₃	—	4	1	no	—
645	Dic₇₃	—	2	2	no	—
646	Dic₇₃	—	2	2	no	—
647	Dic₇₃	—	2	2	no	—
648	Dic₇₃	—	4	1	no	—
649	Dic₇₃	—	4	1	no	—
650	Dic₇₃	—	4	1	no	—
651	Dic₇₃	—	4	1	no	—
652	Dic₇₃	—	4	1	no	—
653	Dic₇₃	—	4	1	no	—
654	Dic₇₃	—	4	1	no	—
655	Dic₇₃	—	4	1	no	—
656	Dic₇₃	—	4	1	no	—
657	Dic₇₃	—	4	1	no	—
658	Dic₇₃	—	4	1	no	—
659	#36755	—	73	1	no	maximal, Sylow
660	C₂×C₇₃	#3458	1	1	yes	characteristic
661	C₂×C₇₃	#3501	1	1	yes	characteristic
662	C₂×C₇₃	#3504	1	1	yes	characteristic
663	C₂×C₇₃	#3533	1	1	yes	characteristic
664	C₂×C₇₃	#3540	1	1	yes	characteristic
665	C₂×C₇₃	#3566	1	1	yes	characteristic
666	C₂×C₇₃	#3568	1	1	yes	characteristic
667	D₇₃	—	4	2	no	—
668	D₇₃	—	4	2	no	—
669	#2855	—	73	1	no	—
670	#2851	—	73	1	no	—
671	#2805	—	73	1	no	—
672	#2804	—	73	1	no	—
673	#2790	—	73	1	no	—
674	#2788	—	73	1	no	—
675	#2788	—	73	1	no	—
676	#2784	—	73	1	no	—
677	#2780	—	73	1	no	—
678	#2774	—	73	1	no	—
679	#2763	—	73	1	no	—
680	#2763	—	73	1	no	—
681	#2755	—	73	1	no	—
682	#2742	—	73	1	no	—
683	#2729	—	73	1	no	—
684	#2720	—	73	1	no	—
685	#2713	—	73	1	no	—
686	#2692	—	73	1	no	—
687	#2665	—	73	1	no	—
688	#2665	—	73	1	no	—
689	#2612	—	73	1	no	—
690	#2607	—	73	1	no	—
691	#2605	—	73	1	no	—
692	#2605	—	73	1	no	—
693	#2570	D₇₃	1	1	yes	characteristic, complemented
694	#2569	—	73	1	no	—
695	#2439	—	73	1	no	—
696	#2438	—	73	1	no	—
697	#2319	—	73	1	no	—
698	#2318	—	73	1	no	—
699	#2290	—	73	1	no	—
700	C₇₃	#36755	1	1	yes	characteristic, complemented, Sylow
701	C₂×C₄⋊Q₈	—	73	1	no	—
702	C₂×#125	—	73	1	no	—
703	C₂×C₂²⋊Q₈	—	73	1	no	—
704	C₂×C₂²⋊Q₈	—	73	1	no	—
705	C₂×C₄×D₄	—	73	1	no	—
706	C₂×#117	—	73	1	no	—
707	C₂²×C₄²	—	73	1	no	—
708	#400	—	73	1	no	—
709	#400	—	73	1	no	—
710	#400	—	73	1	no	—
711	#400	—	73	1	no	—
712	#400	—	73	1	no	—
713	#400	—	73	1	no	—
714	#400	—	73	1	no	—
715	#400	—	73	1	no	—
716	#400	—	73	1	no	—
717	#400	—	73	1	no	—
718	#400	—	73	1	no	—
719	#400	—	73	1	no	—
720	#400	C₂×D₇₃	1	1	yes	characteristic
721	#400	C₂×D₇₃	1	1	yes	characteristic
722	#399	—	73	1	no	—
723	#399	—	73	1	no	—
724	#398	—	73	1	no	—
725	#398	—	73	1	no	—
726	#398	—	73	1	no	—
727	#398	—	73	1	no	—
728	#398	—	73	1	no	—
729	#398	—	73	1	no	—
730	#398	C₂×D₇₃	1	1	yes	characteristic
731	#398	C₂×D₇₃	1	1	yes	characteristic
732	#396	—	73	1	no	—
733	#396	—	73	1	no	—
734	#396	—	73	1	no	—
735	#396	—	73	1	no	—
736	#396	—	73	1	no	—
737	#396	—	73	1	no	—
738	#395	—	73	1	no	—
739	#395	—	73	1	no	—
740	#395	—	73	1	no	—
741	#395	—	73	1	no	—
742	#395	—	73	1	no	—
743	#395	—	73	1	no	—
744	#395	—	73	1	no	—
745	#395	—	73	1	no	—
746	#395	—	73	1	no	—
747	#395	—	73	1	no	—
748	#393	—	73	1	no	—
749	#393	—	73	1	no	—
750	#393	—	73	1	no	—
751	#393	—	73	1	no	—
752	#393	—	73	1	no	—
753	#393	—	73	1	no	—
754	#393	—	73	1	no	—
755	#393	—	73	1	no	—
756	#391	—	73	1	no	—
757	#391	—	73	1	no	—
758	#391	—	73	1	no	—
759	#391	—	73	1	no	—
760	#391	—	73	1	no	—
761	#391	—	73	1	no	—
762	#391	—	73	1	no	—
763	#391	—	73	1	no	—
764	#391	—	73	1	no	—
765	#391	—	73	1	no	—
766	#391	—	73	1	no	—
767	#391	—	73	1	no	—
768	#391	—	73	1	no	—
769	#390	—	73	1	no	—
770	#390	—	73	1	no	—
771	#389	—	73	1	no	—
772	#389	—	73	1	no	—
773	#389	—	73	1	no	—
774	#389	—	73	1	no	—
775	#389	—	73	1	no	—
776	#389	—	73	1	no	—
777	#389	—	73	1	no	—
778	#389	—	73	1	no	—
779	#389	—	73	1	no	—
780	#389	C₂×D₇₃	1	1	yes	characteristic
781	#389	C₂×D₇₃	1	1	yes	characteristic
782	#388	—	73	1	no	—
783	#388	—	73	1	no	—
784	#388	—	73	1	no	—
785	#388	—	73	1	no	—
786	#388	—	73	1	no	—
787	#388	—	73	1	no	—
788	#388	—	73	1	no	—
789	#388	—	73	1	no	—
790	#387	—	73	1	no	—
791	#387	—	73	1	no	—
792	#387	—	73	1	no	—
793	#387	—	73	1	no	—
794	#387	—	73	1	no	—
795	#387	—	73	1	no	—
796	#387	—	73	1	no	—
797	#387	—	73	1	no	—
798	#387	—	73	1	no	—
799	#387	—	73	1	no	—
800	#387	—	73	1	no	—
801	#387	—	73	1	no	—
802	#387	—	73	1	no	—
803	#387	—	73	1	no	—
804	#387	—	73	1	no	—
805	#387	—	73	1	no	—
806	#387	—	73	1	no	—
807	#387	—	73	1	no	—
808	#387	—	73	1	no	—
809	#387	—	73	1	no	—
810	#387	C₂×D₇₃	1	1	yes	characteristic
811	#387	C₂×D₇₃	1	1	yes	characteristic
812	#387	C₂×D₇₃	1	1	yes	characteristic
813	#387	C₂×D₇₃	1	1	yes	characteristic
814	#386	—	73	1	no	—
815	#386	—	73	1	no	—
816	#386	—	73	1	no	—
817	#386	—	73	1	no	—
818	#385	—	73	1	no	—
819	#385	—	73	1	no	—
820	#385	—	73	1	no	—
821	#385	—	73	1	no	—
822	#385	—	73	1	no	—
823	#385	—	73	1	no	—
824	#385	—	73	1	no	—
825	#385	—	73	1	no	—
826	#385	—	73	1	no	—
827	#385	—	73	1	no	—
828	#385	—	73	1	no	—
829	#385	—	73	1	no	—
830	#385	—	73	1	no	—
831	#385	—	73	1	no	—
832	#384	C₂×D₇₃	1	1	yes	characteristic
833	#383	—	73	1	no	—
834	#382	—	73	1	no	—
835	#382	—	73	1	no	—
836	#382	C₂×D₇₃	1	1	yes	characteristic
837	#382	C₂×D₇₃	1	1	yes	characteristic
838	#381	—	73	1	no	—
839	#381	—	73	1	no	—
840	#381	—	73	1	no	—
841	#380	—	73	1	no	—
842	#380	—	73	1	no	—
843	#380	—	73	1	no	—
844	#380	—	73	1	no	—
845	#380	—	73	1	no	—
846	#380	—	73	1	no	—
847	#380	—	73	1	no	—
848	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
849	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
850	C₄×C₂²⋊C₄	—	73	1	no	—
851	C₄×C₂²⋊C₄	—	73	1	no	—
852	C₄×C₂²⋊C₄	—	73	1	no	—
853	#376	—	73	1	no	—
854	#376	—	73	1	no	—
855	C₂×#95	—	73	1	no	—
856	C₂²×Q₈	—	73	1	no	—
857	C₂²×Q₈	—	73	1	no	—
858	C₂²×Q₈	—	73	1	no	—
859	C₂²×Q₈	—	73	1	no	—
860	C₂²×Q₈	—	73	1	no	—
861	C₂²×D₄	—	73	1	no	—
862	C₂³×C₄	—	73	1	no	—
863	C₂³×C₄	—	73	1	no	—
864	C₂³×C₄	—	73	1	no	—
865	C₂³×C₄	—	73	1	no	—
866	C₂³×C₄	—	73	1	no	—
867	C₂³×C₄	—	73	1	no	—
868	C₄⋊Q₈	—	292	2	no	—
869	#125	—	292	2	no	—
870	C₂²⋊Q₈	—	292	2	no	—
871	C₂²⋊Q₈	—	292	2	no	—
872	C₄×D₄	—	73	8	no	—
873	#117	—	292	2	no	—
874	C₂×C₄⋊C₄	—	73	1	no	—
875	C₂×C₄⋊C₄	—	73	1	no	—
876	C₂×C₄⋊C₄	—	73	1	no	—
877	C₂×C₄⋊C₄	—	73	1	no	—
878	C₂×C₄⋊C₄	—	73	1	no	—
879	C₂×C₄⋊C₄	—	73	1	no	—
880	C₂×C₄⋊C₄	—	73	1	no	—
881	C₂×C₄⋊C₄	—	73	1	no	—
882	C₂×C₄⋊C₄	—	73	1	no	—
883	C₂×C₄⋊C₄	—	73	1	no	—
884	C₂×C₄⋊C₄	—	73	1	no	—
885	C₂×C₄⋊C₄	—	73	1	no	—
886	C₂×C₄⋊C₄	—	73	1	no	—
887	C₂×C₄⋊C₄	—	73	1	no	—
888	C₂×C₄⋊C₄	—	73	1	no	—
889	C₂×C₄⋊C₄	—	73	1	no	—
890	C₂×C₄⋊C₄	—	73	1	no	—
891	C₂×C₄⋊C₄	—	73	1	no	—
892	C₂×C₄⋊C₄	—	73	1	no	—
893	C₂×C₄⋊C₄	—	73	1	no	—
894	C₂×C₄⋊C₄	—	73	1	no	—
895	C₂×C₄⋊C₄	—	73	1	no	—
896	C₂×C₄⋊C₄	—	73	1	no	—
897	C₂×C₄⋊C₄	—	73	1	no	—
898	C₂×C₄⋊C₄	—	73	1	no	—
899	C₂×C₄⋊C₄	—	73	1	no	—
900	C₂×C₄⋊C₄	—	73	1	no	—
901	C₂×C₄⋊C₄	—	73	1	no	—
902	C₂×C₄⋊C₄	—	73	1	no	—
903	C₂×C₄⋊C₄	—	73	1	no	—
904	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	—	73	1	no	—
919	C₂×C₂²⋊C₄	—	73	1	no	—
920	C₂×C₂²⋊C₄	—	73	1	no	—
921	C₂×C₂²⋊C₄	—	73	1	no	—
922	C₂×C₂²⋊C₄	—	73	1	no	—
923	C₂×C₂²⋊C₄	—	73	1	no	—
924	C₂×C₂²⋊C₄	—	73	1	no	—
925	C₂×C₂²⋊C₄	—	73	1	no	—
926	C₂×C₂²⋊C₄	—	73	1	no	—
927	C₂×C₂²⋊C₄	—	73	1	no	—
928	C₂×C₂²⋊C₄	—	73	1	no	—
929	C₂×C₂²⋊C₄	—	73	1	no	—
930	C₂×C₂²⋊C₄	—	73	1	no	—
931	C₂×C₂²⋊C₄	—	73	1	no	—
932	C₂×C₂²⋊C₄	—	73	1	no	—
933	C₂×C₂²⋊C₄	—	73	1	no	—
934	C₂×C₂²⋊C₄	—	73	1	no	—
935	C₂×C₂²⋊C₄	—	73	1	no	—
936	C₂×C₂²⋊C₄	—	73	1	no	—
937	C₂×C₂²⋊C₄	—	73	1	no	—
938	C₂×C₂²⋊C₄	—	73	1	no	—
939	C₂×C₂²⋊C₄	—	73	1	no	—
940	C₂×C₄²	—	292	2	no	—
941	C₂×C₄²	—	73	1	no	—
942	C₂×C₄²	—	73	1	no	—
943	C₂×C₄²	—	73	1	no	—
944	C₂×C₄²	—	73	1	no	—
945	C₂×C₄²	—	73	1	no	—
946	C₂×C₄²	—	73	1	no	—
947	C₂×C₄²	—	73	1	no	—
948	C₂×C₄²	—	73	1	no	—
949	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
950	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
951	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
952	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
953	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
954	#95	—	73	1	no	—
955	#95	—	73	1	no	—
956	#95	—	73	1	no	—
957	#95	—	73	1	no	—
958	#95	—	73	1	no	—
959	#95	—	73	1	no	—
960	#95	—	73	1	no	—
961	#95	—	73	1	no	—
962	#95	—	73	1	no	—
963	#95	—	73	1	no	—
964	#95	—	73	1	no	—
965	#95	—	73	1	no	—
966	#95	—	73	1	no	—
967	#95	—	73	1	no	—
968	#95	—	73	1	no	—
969	#95	—	73	1	no	—
970	#95	—	73	1	no	—
971	#95	—	73	1	no	—
972	#95	—	73	1	no	—
973	#95	—	73	1	no	—
974	#95	—	73	1	no	—
975	#95	—	73	1	no	—
976	#95	—	73	1	no	—
977	#95	—	73	1	no	—
978	#95	—	73	1	no	—
979	#95	—	73	1	no	—
980	#95	—	73	1	no	—
981	#95	—	73	1	no	—
982	#95	—	73	1	no	—
983	#95	—	73	1	no	—
984	#95	—	73	1	no	—
985	#95	—	73	1	no	—
986	#95	—	73	1	no	—
987	#95	—	73	1	no	—
988	#95	—	73	1	no	—
989	#95	—	73	1	no	—
990	#95	—	73	1	no	—
991	#95	—	73	1	no	—
992	#95	—	73	1	no	—
993	#95	—	73	1	no	—
994	#95	—	73	1	no	—
995	#95	—	73	1	no	—
996	#95	—	73	1	no	—
997	#95	—	73	1	no	—
998	#95	—	73	1	no	—
999	#95	—	73	1	no	—
1000	#95	—	73	1	no	—
1001	#95	—	73	1	no	—
1002	#95	C₂²×D₇₃	1	1	yes	characteristic
1003	#95	C₂²×D₇₃	1	1	yes	characteristic
1004	#95	C₂²×D₇₃	1	1	yes	characteristic
1005	#95	C₂²×D₇₃	1	1	yes	characteristic
1006	#95	C₂²×D₇₃	1	1	yes	characteristic
1007	#95	C₂²×D₇₃	1	1	yes	characteristic
1008	#95	C₂²×D₇₃	1	1	yes	characteristic
1009	#95	C₂²×D₇₃	1	1	yes	characteristic
1010	#95	C₂²×D₇₃	1	1	yes	characteristic
1011	#95	C₂²×D₇₃	1	1	yes	characteristic
1012	#95	C₂²×D₇₃	1	1	yes	characteristic
1013	#95	C₂²×D₇₃	1	1	yes	characteristic
1014	#95	C₂²×D₇₃	1	1	yes	characteristic
1015	#95	C₂²×D₇₃	1	1	yes	characteristic
1016	#95	C₂²×D₇₃	1	1	yes	characteristic
1017	#95	C₂²×D₇₃	1	1	yes	characteristic
1018	C₂⁴	—	73	1	no	—
1019	C₂⁴	—	73	1	no	—
1020	C₂×Q₈	—	292	1	no	—
1021	C₂×Q₈	—	292	1	no	—
1022	C₂×Q₈	—	292	1	no	—
1023	C₂×Q₈	—	292	1	no	—
1024	C₂×Q₈	—	292	1	no	—
1025	C₂×Q₈	—	292	1	no	—
1026	C₂×Q₈	—	292	1	no	—
1027	C₂×Q₈	—	292	1	no	—
1028	C₂×Q₈	—	292	1	no	—
1029	C₂×Q₈	—	292	1	no	—
1030	C₂×Q₈	—	292	1	no	—
1031	C₂×Q₈	—	292	1	no	—
1032	C₂×Q₈	—	292	1	no	—
1033	C₂×Q₈	—	292	1	no	—
1034	C₂×Q₈	—	146	2	no	—
1035	C₂×D₄	—	292	1	no	—
1036	C₂×D₄	—	292	1	no	—
1037	C₂×D₄	—	73	4	no	—
1038	C₂²×C₄	—	292	1	no	—
1039	C₂²×C₄	—	292	1	no	—
1040	C₂²×C₄	—	292	1	no	—
1041	C₂²×C₄	—	292	1	no	—
1042	C₂²×C₄	—	292	1	no	—
1043	C₂²×C₄	—	292	1	no	—
1044	C₂²×C₄	—	292	1	no	—
1045	C₂²×C₄	—	292	1	no	—
1046	C₂²×C₄	—	292	1	no	—
1047	C₂²×C₄	—	292	1	no	—
1048	C₂²×C₄	—	292	1	no	—
1049	C₂²×C₄	—	292	1	no	—
1050	C₂²×C₄	—	292	1	no	—
1051	C₂²×C₄	—	292	1	no	—
1052	C₂²×C₄	—	292	1	no	—
1053	C₂²×C₄	—	73	4	no	—
1054	C₂²×C₄	—	73	4	no	—
1055	C₂²×C₄	—	73	1	no	—
1056	C₂²×C₄	—	73	1	no	—
1057	C₂²×C₄	—	73	1	no	—
1058	C₂²×C₄	—	73	1	no	—
1059	C₂²×C₄	—	73	1	no	—
1060	C₂²×C₄	—	73	1	no	—
1061	C₂²×C₄	—	73	1	no	—
1062	C₂²×C₄	—	73	1	no	—
1063	C₂²×C₄	—	73	1	no	—
1064	C₂²×C₄	—	73	1	no	—
1065	C₂²×C₄	—	73	1	no	—
1066	C₂²×C₄	—	73	1	no	—
1067	C₂²×C₄	—	73	1	no	—
1068	C₂²×C₄	—	73	1	no	—
1069	C₂²×C₄	—	146	2	no	—
1070	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1085	C₄⋊C₄	—	4	1	no	—
1086	C₄⋊C₄	—	4	1	no	—
1087	C₄⋊C₄	—	4	1	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	4	1	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	4	1	no	—
1099	C₄⋊C₄	—	292	1	no	—
1100	C₄⋊C₄	—	292	1	no	—
1101	C₄⋊C₄	—	292	1	no	—
1102	C₄⋊C₄	—	292	1	no	—
1103	C₄⋊C₄	—	292	1	no	—
1104	C₄⋊C₄	—	292	1	no	—
1105	C₄⋊C₄	—	292	1	no	—
1106	C₄⋊C₄	—	292	1	no	—
1107	C₄⋊C₄	—	292	1	no	—
1108	C₄⋊C₄	—	292	1	no	—
1109	C₄⋊C₄	—	292	1	no	—
1110	C₄⋊C₄	—	292	1	no	—
1111	C₄⋊C₄	—	292	1	no	—
1112	C₄⋊C₄	—	292	1	no	—
1113	C₄⋊C₄	—	292	1	no	—
1114	C₄⋊C₄	—	292	1	no	—
1115	C₄⋊C₄	—	292	1	no	—
1116	C₄⋊C₄	—	292	1	no	—
1117	C₄⋊C₄	—	292	1	no	—
1118	C₄⋊C₄	—	292	1	no	—
1119	C₄⋊C₄	—	292	1	no	—
1120	C₄⋊C₄	—	292	1	no	—
1121	C₄⋊C₄	—	292	1	no	—
1122	C₄⋊C₄	—	292	1	no	—
1123	C₄⋊C₄	—	292	1	no	—
1124	C₄⋊C₄	—	73	4	no	—
1125	C₄⋊C₄	—	146	2	no	—
1126	C₄⋊C₄	—	146	2	no	—
1127	C₄⋊C₄	—	146	2	no	—
1128	C₄⋊C₄	—	146	2	no	—
1129	C₂²⋊C₄	—	292	1	no	—
1130	C₂²⋊C₄	—	292	1	no	—
1131	C₂²⋊C₄	—	292	1	no	—
1132	C₂²⋊C₄	—	292	1	no	—
1133	C₂²⋊C₄	—	292	1	no	—
1134	C₂²⋊C₄	—	292	1	no	—
1135	C₂²⋊C₄	—	292	1	no	—
1136	C₂²⋊C₄	—	292	1	no	—
1137	C₂²⋊C₄	—	292	1	no	—
1138	C₂²⋊C₄	—	292	1	no	—
1139	C₂²⋊C₄	—	292	1	no	—
1140	C₂²⋊C₄	—	292	1	no	—
1141	C₂²⋊C₄	—	292	1	no	—
1142	C₂²⋊C₄	—	292	1	no	—
1143	C₂²⋊C₄	—	292	1	no	—
1144	C₂²⋊C₄	—	292	1	no	—
1145	C₂²⋊C₄	—	292	1	no	—
1146	C₂²⋊C₄	—	292	1	no	—
1147	C₂²⋊C₄	—	292	1	no	—
1148	C₂²⋊C₄	—	73	4	no	—
1149	C₂²⋊C₄	—	73	4	no	—
1150	C₂²⋊C₄	—	146	2	no	—
1151	C₄²	—	4	1	no	—
1152	C₄²	—	4	1	no	—
1153	C₄²	—	4	1	no	—
1154	C₄²	—	4	1	no	—
1155	C₄²	—	292	1	no	—
1156	C₄²	—	292	1	no	—
1157	C₄²	—	292	1	no	—
1158	C₄²	—	292	1	no	—
1159	C₄²	—	292	1	no	—
1160	C₄²	—	292	1	no	—
1161	C₄²	—	146	2	no	—
1162	C₄²	—	146	2	no	—
1163	C₄²	Q₈×D₇₃	1	4	yes	—
1164	C₂³	—	73	2	no	—
1165	C₂³	—	73	2	no	—
1166	C₂³	—	146	1	no	—
1167	C₂³	—	146	1	no	—
1168	C₂³	—	146	1	no	—
1169	C₂³	—	146	1	no	—
1170	C₂³	—	146	1	no	—
1171	C₂³	—	146	1	no	—
1172	C₂³	—	146	1	no	—
1173	C₂³	—	146	1	no	—
1174	C₂³	—	146	1	no	—
1175	C₂³	—	146	1	no	—
1176	C₂³	—	146	1	no	—
1177	C₂³	—	146	1	no	—
1178	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1179	Q₈	—	584	2	no	—
1180	Q₈	—	584	2	no	—
1181	Q₈	—	584	2	no	—
1182	Q₈	—	584	2	no	—
1183	Q₈	—	584	2	no	—
1184	D₄	—	292	4	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	292	4	no	—
1228	C₂×C₄	—	292	4	no	—
1229	C₂×C₄	—	292	4	no	—
1230	C₂×C₄	—	292	4	no	—
1231	C₂×C₄	—	584	2	no	—
1232	C₂×C₄	—	584	2	no	—
1233	C₂×C₄	—	73	2	no	—
1234	C₂×C₄	—	73	2	no	—
1235	C₂×C₄	—	73	2	no	—
1236	C₂×C₄	—	146	1	no	—
1237	C₂×C₄	—	146	1	no	—
1238	C₂×C₄	—	146	1	no	—
1239	C₂×C₄	—	146	1	no	—
1240	C₂×C₄	—	146	1	no	—
1241	C₂×C₄	—	146	1	no	—
1242	C₂×C₄	—	146	1	no	—
1243	C₂×C₄	—	146	1	no	—
1244	C₂×C₄	—	146	1	no	—
1245	C₂×C₄	—	146	1	no	—
1246	C₂×C₄	—	146	1	no	—
1247	C₂×C₄	—	146	1	no	—
1248	C₂×C₄	—	146	1	no	—
1249	C₂×C₄	—	146	1	no	—
1250	C₂×C₄	—	146	1	no	—
1251	C₂×C₄	—	146	1	no	—
1252	C₂×C₄	—	146	1	no	—
1253	C₂×C₄	—	146	1	no	—
1254	C₂×C₄	—	146	1	no	—
1255	C₂×C₄	—	146	1	no	—
1256	C₂×C₄	—	146	1	no	—
1257	C₂×C₄	—	146	1	no	—
1258	C₂×C₄	—	146	1	no	—
1259	C₂×C₄	—	146	1	no	—
1260	C₂×C₄	—	146	1	no	—
1261	C₂×C₄	—	146	1	no	—
1262	C₂×C₄	—	146	1	no	—
1263	C₂×C₄	—	146	1	no	—
1264	C₂×C₄	—	146	1	no	—
1265	C₂×C₄	—	146	1	no	—
1266	C₂×C₄	—	146	1	no	—
1267	C₂×C₄	—	146	1	no	—
1268	C₂×C₄	—	146	1	no	—
1269	C₂×C₄	—	146	1	no	—
1270	C₂×C₄	—	146	1	no	—
1271	C₂×C₄	—	146	1	no	—
1272	C₂×C₄	—	146	1	no	—
1273	C₂×C₄	—	146	1	no	—
1274	C₂×C₄	—	146	1	no	—
1275	C₂×C₄	C₂×Q₈×D₇₃	1	2	yes	—
1276	C₂×C₄	C₂×Q₈×D₇₃	1	2	yes	—
1277	C₂×C₄	C₂×Q₈×D₇₃	1	2	yes	—
1278	C₂²	—	292	1	no	—
1279	C₂²	—	292	1	no	—
1280	C₂²	—	292	1	no	—
1281	C₂²	—	292	1	no	—
1282	C₂²	—	292	1	no	—
1283	C₂²	—	292	1	no	—
1284	C₂²	—	292	1	no	—
1285	C₂²	—	292	1	no	—
1286	C₂²	—	146	2	no	—
1287	C₂²	—	146	2	no	—
1288	C₂²	—	146	2	no	—
1289	C₂²	—	146	2	no	—
1290	C₂²	—	146	2	no	—
1291	C₂²	—	146	2	no	—
1292	C₂²	C₂²×Q₈×D₇₃	1	1	yes	characteristic
1293	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1294	C₂²	#17989423	1	1	yes	characteristic
1295	C₂²	#17989423	1	1	yes	characteristic
1296	C₂²	#17989423	1	1	yes	characteristic
1297	C₂²	#17989423	1	1	yes	characteristic
1298	C₂²	#17989424	1	1	yes	characteristic
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	2	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	292	1	no	—
1315	C₄	—	292	1	no	—
1316	C₄	—	292	1	no	—
1317	C₄	—	292	1	no	—
1318	C₄	—	292	1	no	—
1319	C₄	—	292	1	no	—
1320	C₄	—	292	1	no	—
1321	C₄	—	292	1	no	—
1322	C₄	—	292	1	no	—
1323	C₄	—	292	1	no	—
1324	C₄	—	292	1	no	—
1325	C₄	—	146	2	no	—
1326	C₄	—	146	2	no	—
1327	C₄	—	146	2	no	—
1328	C₂	—	292	2	no	—
1329	C₂	—	292	2	no	—
1330	C₂	#22623334	1	1	yes	characteristic
1331	C₂	#22623733	1	1	yes	characteristic
1332	C₂	#22623755	1	1	yes	characteristic
1333	C₂	#22624089	1	1	yes	characteristic
1334	C₂	#22624194	1	1	yes	characteristic
1335	C₂	#22624613	1	1	yes	characteristic
1336	C₂	#22624626	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Fitting	C₇₃×#2570	C₂
prime radical	C₂²×D₂₉₂	C₂³
hypercenter	#2570	D₇₃
hypocenter	C₇₃	#36755
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2570

Complements

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

N	H ≅ G/N	type
1. #22618266	C₂	semidirect
2. #22618238	C₂	semidirect
3. #22617883	C₂	semidirect
5. #22617697	C₂	semidirect
6. #22617680	C₂	semidirect
7. #22617675	C₂	semidirect
10. #22617488	C₂	semidirect
11. #22617344	C₂	semidirect
12. #22617344	C₂	semidirect
13. #22617244	C₂	semidirect
14. #22617058	C₂	semidirect
15. #22616908	C₂	semidirect
16. #22616806	C₂	semidirect
17. #22616719	C₂	semidirect
19. #22616107	C₂	semidirect
20. #22616107	C₂	semidirect
21. #22615639	C₂	semidirect
22. #22615595	C₂	semidirect
23. #22615574	C₂	semidirect
24. #22615574	C₂	semidirect
25. #22615154	C₂	semidirect
26. #22613621	C₂	semidirect
27. #22613606	C₂	semidirect
31. C₇₃×#2570	C₂	semidirect
203. C₄×D₂₉₂	Q₈	semidirect
693. #2570	D₇₃	semidirect
700. C₇₃	#36755	semidirect

Maximal subgroups

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

subgroup	index
#22618266	2
#22618238	2
#22617883	2
#22617876	2
#22617697	2
#22617680	2
#22617675	2
#22617631	2
#22617585	2
#22617488	2
#22617344	2
#22617244	2
#22617058	2
#22616908	2
#22616806	2
#22616719	2
#22616429	2
#22616107	2
#22615639	2
#22615595	2
#22615574	2
#22615154	2
#22613621	2
#22613606	2
#22612569	2
#22612567	2
#22612372	2
C₇₃×#2570	2
#36755	73