Subgroups — #33292483

Order 18688.

1506 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618186	C₂	1	1	yes	maximal, characteristic, complemented
2	#22618171	C₂	1	1	yes	maximal, characteristic, complemented
3	#22618169	C₂	1	1	yes	maximal, characteristic, complemented
4	#22618156	C₂	1	1	yes	maximal, characteristic, complemented
5	#22618154	C₂	1	1	yes	maximal, characteristic, complemented
6	#22618119	C₂	1	1	yes	maximal, characteristic, complemented
7	#22618114	C₂	1	1	yes	maximal, characteristic, complemented
8	#22618107	C₂	1	1	yes	maximal, characteristic, complemented
9	#22618105	C₂	1	1	yes	maximal, characteristic, complemented
10	#22618085	C₂	1	1	yes	maximal, characteristic, complemented
11	#22618083	C₂	1	1	yes	maximal, characteristic, complemented
12	#22618037	C₂	1	1	yes	maximal, characteristic
13	#22618033	C₂	1	1	yes	maximal, characteristic
14	#22617966	C₂	1	1	yes	maximal, characteristic, complemented
15	#22617946	C₂	1	1	yes	maximal, characteristic
16	#22617942	C₂	1	1	yes	maximal, characteristic
17	#22613239	C₂	1	1	yes	maximal, characteristic, complemented
18	#22613238	C₂	1	1	yes	maximal, characteristic, complemented
19	#22613232	C₂	1	1	yes	maximal, characteristic, complemented
20	#22613232	C₂	1	1	yes	maximal, characteristic, complemented
21	#22613231	C₂	1	1	yes	maximal, characteristic, complemented
22	#22613231	C₂	1	1	yes	maximal, characteristic, complemented
23	#22613225	C₂	1	1	yes	maximal, characteristic, complemented
24	#22613222	C₂	1	1	yes	maximal, characteristic, complemented
25	#22613218	C₂	1	1	yes	maximal, characteristic
26	#22613207	C₂	1	1	yes	maximal, characteristic, complemented
27	#22613201	C₂	1	1	yes	maximal, characteristic, complemented
28	#22613192	C₂	1	1	yes	maximal, characteristic
29	C₄×#14556570	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#14556574	C₂	1	1	yes	maximal, characteristic
31	C₄×C₂²⋊Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14556574	C₂²	1	1	yes	characteristic
33	C₂×#14556570	C₂²	1	1	yes	characteristic
34	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic
35	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
37	C₂×#14556548	C₂²	1	1	yes	characteristic
38	C₇₃⋊#401	C₂²	1	1	yes	characteristic
39	C₇₃⋊#401	C₂²	1	1	yes	characteristic
40	C₇₃⋊#401	C₂²	1	1	yes	characteristic
41	C₇₃⋊#401	C₂²	1	1	yes	characteristic
42	#17988529	C₂²	1	1	yes	characteristic
43	#17988529	C₂²	1	1	yes	characteristic
44	#17988529	C₂²	1	1	yes	characteristic
45	#17988529	C₂²	1	1	yes	characteristic
46	#17988529	C₂²	1	1	yes	characteristic
47	#17988529	C₂²	1	1	yes	characteristic
48	#17988529	C₂²	1	1	yes	characteristic
49	#17988528	C₂²	1	1	yes	characteristic
50	#17988528	C₂²	1	1	yes	characteristic
51	#17988528	C₂²	1	1	yes	characteristic
52	#17988528	C₂²	1	1	yes	characteristic
53	#17988528	C₂²	1	1	yes	characteristic
54	#17988528	C₂²	1	1	yes	characteristic
55	#17988528	C₂²	1	1	yes	characteristic
56	#17988527	C₂²	1	1	yes	characteristic
57	#17988527	C₂²	1	1	yes	characteristic
58	#17988527	C₂²	1	1	yes	characteristic
59	#17988526	C₂²	1	1	yes	characteristic
60	#17988526	C₂²	1	1	yes	characteristic
61	#17988526	C₂²	1	1	yes	characteristic
62	#17988526	C₂²	1	1	yes	characteristic
63	#17988525	C₂²	1	1	yes	characteristic
64	#17988525	C₂²	1	1	yes	characteristic
65	#17988525	C₂²	1	1	yes	characteristic
66	#17988525	C₂²	1	1	yes	characteristic
67	#17988523	C₂²	1	1	yes	characteristic
68	#17988522	C₂²	1	1	yes	characteristic
69	#17988522	C₂²	1	1	yes	characteristic
70	#17988521	C₂²	1	1	yes	characteristic
71	#17988521	C₂²	1	1	yes	characteristic
72	#17988521	C₂²	1	1	yes	characteristic
73	#17988521	C₂²	1	1	yes	characteristic
74	#17988521	C₂²	1	1	yes	characteristic
75	#17988520	C₂²	1	1	yes	characteristic
76	#17988520	C₂²	1	1	yes	characteristic
77	#17988520	C₂²	1	1	yes	characteristic
78	#17988520	C₂²	1	1	yes	characteristic
79	#17988520	C₂²	1	1	yes	characteristic
80	#17988520	C₂²	1	1	yes	characteristic
81	#17988520	C₂²	1	1	yes	characteristic
82	#17988519	C₂²	1	1	yes	characteristic
83	#17988519	C₂²	1	1	yes	characteristic
84	#17988518	C₂²	1	1	yes	characteristic
85	#17988518	C₂²	1	1	yes	characteristic
86	#17988518	C₂²	1	1	yes	characteristic
87	#17988518	C₂²	1	1	yes	characteristic
88	#17988517	C₂²	1	1	yes	characteristic
89	#17988517	C₂²	1	1	yes	characteristic
90	#17988517	C₂²	1	1	yes	characteristic
91	#17988516	C₂²	1	1	yes	characteristic
92	#17988516	C₂²	1	1	yes	characteristic
93	#17988516	C₂²	1	1	yes	characteristic
94	#17988516	C₂²	1	1	yes	characteristic
95	#17988515	C₂²	1	1	yes	characteristic
96	#17988515	C₂²	1	1	yes	characteristic
97	#17988515	C₂²	1	1	yes	characteristic
98	#17988515	C₂²	1	1	yes	characteristic
99	#17988515	C₂²	1	1	yes	characteristic
100	#17988515	C₂²	1	1	yes	characteristic
101	#17988514	C₂²	1	1	yes	characteristic
102	#17988514	C₂²	1	1	yes	characteristic
103	#17988514	C₂²	1	1	yes	characteristic
104	#17988513	C₂²	1	1	yes	characteristic
105	#17988513	C₂²	1	1	yes	characteristic
106	#17988512	C₂²	1	1	yes	characteristic
107	#17988512	C₂²	1	1	yes	characteristic
108	#17988511	C₂²	1	1	yes	characteristic
109	#17988510	C₂²	1	1	yes	characteristic
110	#17988510	C₂²	1	1	yes	characteristic
111	#17988509	C₂²	1	1	yes	characteristic
112	#17988509	C₂²	1	1	yes	characteristic
113	#17988509	C₂²	1	1	yes	characteristic
114	#17988509	C₂²	1	1	yes	characteristic
115	#17988509	C₂²	1	1	yes	characteristic
116	#17988508	C₂²	1	1	yes	characteristic
117	#17988508	C₂²	1	1	yes	characteristic
118	#17988507	C₂²	1	1	yes	characteristic
119	#17988507	C₂²	1	1	yes	characteristic
120	#17988507	C₂²	1	1	yes	characteristic
121	#17988507	C₂²	1	1	yes	characteristic
122	#17988507	C₂²	1	1	yes	characteristic
123	#17988506	C₂²	1	1	yes	characteristic
124	#17988506	C₂²	1	1	yes	characteristic
125	#17988506	C₂²	1	1	yes	characteristic
126	#17988503	C₂²	1	1	yes	characteristic
127	#17988503	C₂²	1	1	yes	characteristic
128	#17988502	C₂²	1	1	yes	characteristic
129	#17988502	C₂²	1	1	yes	characteristic
130	#17988500	C₂²	1	1	yes	characteristic
131	#17988500	C₂²	1	1	yes	characteristic
132	#17988499	C₂²	1	1	yes	characteristic
133	#17988498	C₂²	1	1	yes	characteristic
134	#17988493	C₂²	1	1	yes	characteristic
135	#17988485	C₂²	1	1	yes	characteristic
136	#17988478	C₂²	1	1	yes	characteristic
137	#17988478	C₂²	1	1	yes	characteristic
138	#17988471	C₂²	1	1	yes	characteristic
139	#17988471	C₂²	1	1	yes	characteristic
140	#17988471	C₂²	1	1	yes	characteristic
141	#17988471	C₂²	1	1	yes	characteristic
142	#17988466	C₂²	1	1	yes	characteristic
143	#17988460	C₂²	1	1	yes	characteristic
144	#17988460	C₂²	1	1	yes	characteristic
145	#17988460	C₂²	1	1	yes	characteristic
146	#17988450	C₂²	1	1	yes	characteristic
147	#17988447	C₂²	1	1	yes	characteristic
148	C₄×#11924007	C₂²	1	1	yes	characteristic
149	C₄×#11924007	C₂²	1	1	yes	characteristic
150	C₄×#11924007	C₂²	1	1	yes	characteristic
151	C₄×#11924007	C₂²	1	1	yes	characteristic
152	C₄×#11924007	C₂²	1	1	yes	characteristic
153	C₄×#11924007	C₂²	1	1	yes	characteristic
154	C₄×#11924007	C₂²	1	1	yes	characteristic
155	C₄×#11924007	C₂²	1	1	yes	characteristic
156	C₄×#11924007	C₂²	1	1	yes	characteristic
157	C₄×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic
158	C₄×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic
159	C₄×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic
160	C₄×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic
161	C₄×#11924005	C₂²	1	1	yes	characteristic
162	C₄×#11924005	C₂²	1	1	yes	characteristic
163	C₄×#11924005	C₂²	1	1	yes	characteristic
164	C₄×#11924005	C₂²	1	1	yes	characteristic
165	C₄×#11924005	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
169	#17988433	C₂²	1	1	yes	characteristic
170	#17988433	C₂²	1	1	yes	characteristic
171	#17988433	C₂²	1	1	yes	characteristic
172	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
173	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
174	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
175	#391×C₇₃	C₂²	1	1	yes	characteristic
176	#389×C₇₃	C₂²	1	1	yes	characteristic
177	#387×C₇₃	C₂²	1	1	yes	characteristic
178	#387×C₇₃	C₂²	1	1	yes	characteristic
179	#385×C₇₃	C₂²	1	1	yes	characteristic
180	#385×C₇₃	C₂²	1	1	yes	characteristic
181	#380×C₇₃	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊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×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
191	#14556574	—	2	4	no	—
192	#14556570	—	2	4	no	—
193	C₄×Dic₁₄₆	—	4	2	no	—
194	C₄×Dic₁₄₆	—	4	2	no	—
195	C₄×C₂²⋊D₇₃	—	4	2	no	—
196	#14556548	—	4	2	no	—
197	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
207	C₂×#11924007	C₂³	1	1	yes	characteristic
208	C₂×#11924007	C₂³	1	1	yes	characteristic
209	C₂×#11924007	C₂³	1	1	yes	characteristic
210	C₂×#11924007	C₂³	1	1	yes	characteristic
211	C₂×#11924007	C₂³	1	1	yes	characteristic
212	C₂×#11924007	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×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₇₃	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×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
253	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
259	#14556498	C₂³	1	1	yes	characteristic
260	#14556498	C₂³	1	1	yes	characteristic
261	#14556498	C₂³	1	1	yes	characteristic
262	#14556498	C₂³	1	1	yes	characteristic
263	#14556498	C₂³	1	1	yes	characteristic
264	#14556498	C₂³	1	1	yes	characteristic
265	#14556498	C₂³	1	1	yes	characteristic
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	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
314	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
315	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₇₃	—	2	4	no	—
318	C₄×Q₈×C₇₃	—	4	2	no	—
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×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₇₃	—	4	2	no	—
333	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
340	C₂×C₄²×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	#95×C₇₃	C₂³	1	1	yes	characteristic
350	#95×C₇₃	C₂³	1	1	yes	characteristic
351	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
352	C₂×Dic₁₄₆	—	2	2	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×C₂²⋊D₇₃	—	2	2	no	—
359	C₂×C₂²⋊D₇₃	—	4	1	no	—
360	C₂×C₂²⋊D₇₃	—	4	1	no	—
361	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
362	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₇₃	—	2	2	no	—
377	C₂×C₄×D₇₃	—	2	2	no	—
378	C₂×C₄×D₇₃	—	2	2	no	—
379	C₄⋊Dic₇₃	—	2	2	no	—
380	C₄⋊Dic₇₃	—	4	1	no	—
381	C₄⋊Dic₇₃	—	4	1	no	—
382	C₄⋊Dic₇₃	—	4	1	no	—
383	C₄⋊Dic₇₃	—	4	1	no	—
384	C₄⋊Dic₇₃	—	4	1	no	—
385	C₄⋊Dic₇₃	—	4	1	no	—
386	C₄⋊Dic₇₃	—	4	1	no	—
387	C₄⋊Dic₇₃	—	4	1	no	—
388	C₄⋊Dic₇₃	—	4	1	no	—
389	#11924007	—	2	2	no	—
390	#11924007	—	2	2	no	—
391	#11924007	—	2	2	no	—
392	#11924007	—	2	2	no	—
393	#11924007	—	4	1	no	—
394	#11924007	—	4	1	no	—
395	#11924007	—	4	1	no	—
396	#11924007	—	4	1	no	—
397	#11924007	—	4	1	no	—
398	#11924007	—	4	1	no	—
399	#11924007	—	4	1	no	—
400	#11924007	—	4	1	no	—
401	#11924007	—	4	1	no	—
402	#11924007	—	4	1	no	—
403	#11924007	—	4	1	no	—
404	#11924007	—	4	1	no	—
405	#11924007	—	4	1	no	—
406	#11924007	—	4	1	no	—
407	#11924007	—	4	1	no	—
408	#11924007	—	4	1	no	—
409	#11924007	—	4	1	no	—
410	#11924007	—	4	1	no	—
411	#11924007	—	4	1	no	—
412	#11924007	—	4	1	no	—
413	#11924007	—	4	1	no	—
414	C₂²⋊Dic₇₃	—	2	2	no	—
415	C₂²⋊Dic₇₃	—	2	2	no	—
416	C₂²⋊Dic₇₃	—	2	2	no	—
417	C₂²⋊Dic₇₃	—	4	1	no	—
418	C₂²⋊Dic₇₃	—	4	1	no	—
419	C₂²⋊Dic₇₃	—	4	1	no	—
420	C₂²⋊Dic₇₃	—	4	1	no	—
421	#11924005	—	2	2	no	—
422	#11924005	—	2	2	no	—
423	#11924005	—	4	1	no	—
424	#11924005	—	4	1	no	—
425	#11924005	—	4	1	no	—
426	#11924005	—	4	1	no	—
427	#11924005	—	4	1	no	—
428	#11924005	—	4	1	no	—
429	#11924005	—	4	1	no	—
430	#11924005	—	4	1	no	—
431	#11924005	—	4	1	no	—
432	#11924005	—	4	1	no	—
433	#11924005	—	4	1	no	—
434	C₄×Dic₇₃	—	2	2	no	—
435	C₄×Dic₇₃	—	2	2	no	—
436	C₄×Dic₇₃	—	2	2	no	—
437	C₄×Dic₇₃	—	2	2	no	—
438	C₄×Dic₇₃	—	2	2	no	—
439	C₄×Dic₇₃	—	2	2	no	—
440	C₄×Dic₇₃	—	2	2	no	—
441	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
442	C₂×Q₈×C₇₃	—	2	2	no	—
443	C₂×Q₈×C₇₃	—	4	1	no	—
444	C₂×Q₈×C₇₃	—	4	1	no	—
445	C₂²×C₄×C₇₃	—	2	2	no	—
446	C₂²×C₄×C₇₃	—	2	2	no	—
447	C₂²×C₄×C₇₃	—	2	2	no	—
448	C₂²×C₄×C₇₃	—	4	1	no	—
449	C₂²×C₄×C₇₃	—	4	1	no	—
450	C₂²×C₄×C₇₃	—	4	1	no	—
451	C₂²×C₄×C₇₃	—	4	1	no	—
452	C₂²×C₄×C₇₃	—	4	1	no	—
453	C₂²×C₄×C₇₃	#41	1	4	yes	—
454	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₇₃	—	2	2	no	—
469	C₄⋊C₄×C₇₃	—	2	2	no	—
470	C₄⋊C₄×C₇₃	—	2	2	no	—
471	C₄⋊C₄×C₇₃	—	4	1	no	—
472	C₄⋊C₄×C₇₃	—	4	1	no	—
473	C₄⋊C₄×C₇₃	—	4	1	no	—
474	C₄⋊C₄×C₇₃	—	4	1	no	—
475	C₄⋊C₄×C₇₃	—	4	1	no	—
476	C₄⋊C₄×C₇₃	—	4	1	no	—
477	C₂²⋊C₄×C₇₃	—	2	2	no	—
478	C₂²⋊C₄×C₇₃	—	2	2	no	—
479	C₂²⋊C₄×C₇₃	—	4	1	no	—
480	C₂²⋊C₄×C₇₃	—	4	1	no	—
481	C₄²×C₇₃	—	2	2	no	—
482	C₄²×C₇₃	—	2	2	no	—
483	C₄²×C₇₃	—	2	2	no	—
484	C₄²×C₇₃	—	2	2	no	—
485	C₄²×C₇₃	—	2	2	no	—
486	C₄²×C₇₃	—	2	2	no	—
487	C₄²×C₇₃	—	4	1	no	—
488	C₄²×C₇₃	—	4	1	no	—
489	C₂³×C₇₃	—	2	1	no	—
490	C₂³×C₇₃	—	2	1	no	—
491	C₂³×C₇₃	—	2	1	no	—
492	C₂³×C₇₃	—	2	1	no	—
493	C₂³×C₇₃	—	2	1	no	—
494	C₂³×C₇₃	—	2	1	no	—
495	C₂³×C₇₃	C₂×#41	1	2	yes	—
496	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
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	Q₈×C₇₃	—	4	4	no	—
505	C₂×C₄×C₇₃	—	2	1	no	—
506	C₂×C₄×C₇₃	—	2	1	no	—
507	C₂×C₄×C₇₃	—	2	1	no	—
508	C₂×C₄×C₇₃	—	2	1	no	—
509	C₂×C₄×C₇₃	—	2	1	no	—
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	—	4	4	no	—
543	C₂×C₄×C₇₃	—	4	4	no	—
544	C₂×C₄×C₇₃	—	4	4	no	—
545	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
546	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
547	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
548	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
549	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
550	C₂²⋊D₇₃	—	4	4	no	—
551	C₂×Dic₇₃	—	2	1	no	—
552	C₂×Dic₇₃	—	2	1	no	—
553	C₂×Dic₇₃	—	2	1	no	—
554	C₂×Dic₇₃	—	2	1	no	—
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	—	2	1	no	—
595	C₂×Dic₇₃	—	2	1	no	—
596	C₄×D₇₃	—	4	4	no	—
597	Dic₁₄₆	—	4	4	no	—
598	Dic₁₄₆	—	4	4	no	—
599	C₂²×C₇₃	—	2	2	no	—
600	C₂²×C₇₃	—	2	2	no	—
601	C₂²×C₇₃	—	2	2	no	—
602	C₂²×C₇₃	—	4	1	no	—
603	C₂²×C₇₃	—	4	1	no	—
604	C₂²×C₇₃	—	4	1	no	—
605	C₂²×C₇₃	—	4	1	no	—
606	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
607	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
608	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
609	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
610	C₂²×C₇₃	#585	1	1	yes	characteristic
611	C₂²×C₇₃	#585	1	1	yes	characteristic
612	C₂²×C₇₃	#585	1	1	yes	characteristic
613	C₂×D₇₃	—	4	1	no	—
614	C₂×D₇₃	—	4	1	no	—
615	C₂×D₇₃	—	4	1	no	—
616	C₂×D₇₃	—	4	1	no	—
617	C₂×D₇₃	—	4	1	no	—
618	C₂×D₇₃	—	4	1	no	—
619	C₂×D₇₃	—	4	1	no	—
620	C₄×C₇₃	—	2	2	no	—
621	C₄×C₇₃	—	2	2	no	—
622	C₄×C₇₃	—	4	1	no	—
623	C₄×C₇₃	—	4	1	no	—
624	C₄×C₇₃	—	4	1	no	—
625	C₄×C₇₃	—	4	1	no	—
626	C₄×C₇₃	—	4	1	no	—
627	C₄×C₇₃	—	4	1	no	—
628	C₄×C₇₃	—	4	1	no	—
629	C₄×C₇₃	—	4	1	no	—
630	C₄×C₇₃	—	4	1	no	—
631	C₄×C₇₃	—	4	1	no	—
632	C₄×C₇₃	—	4	1	no	—
633	C₄×C₇₃	#563	1	4	yes	—
634	Dic₇₃	—	4	1	no	—
635	Dic₇₃	—	4	1	no	—
636	Dic₇₃	—	4	1	no	—
637	Dic₇₃	—	4	1	no	—
638	Dic₇₃	—	4	1	no	—
639	Dic₇₃	—	4	1	no	—
640	Dic₇₃	—	4	1	no	—
641	Dic₇₃	—	4	1	no	—
642	Dic₇₃	—	4	1	no	—
643	Dic₇₃	—	4	1	no	—
644	Dic₇₃	—	4	1	no	—
645	Dic₇₃	—	4	1	no	—
646	Dic₇₃	—	4	1	no	—
647	Dic₇₃	—	4	1	no	—
648	Dic₇₃	—	4	1	no	—
649	#36679	—	73	1	no	maximal, Sylow
650	C₂×C₇₃	—	4	2	no	—
651	C₂×C₇₃	#3459	1	1	yes	characteristic
652	C₂×C₇₃	#3461	1	1	yes	characteristic
653	C₂×C₇₃	#3461	1	1	yes	characteristic
654	C₂×C₇₃	C₂×#563	1	1	yes	characteristic
655	C₂×C₇₃	#3529	1	1	yes	characteristic
656	C₂×C₇₃	#3531	1	1	yes	characteristic
657	C₂×C₇₃	#3531	1	1	yes	characteristic
658	D₇₃	—	8	1	no	—
659	#2841	—	73	1	no	—
660	#2839	—	73	1	no	—
661	#2839	—	73	1	no	—
662	#2838	—	73	1	no	—
663	#2838	—	73	1	no	—
664	#2835	—	73	1	no	—
665	#2834	—	73	1	no	—
666	#2833	—	73	1	no	—
667	#2833	—	73	1	no	—
668	#2831	—	73	1	no	—
669	#2831	—	73	1	no	—
670	#2827	—	73	1	no	—
671	#2827	—	73	1	no	—
672	#2817	—	73	1	no	—
673	#2814	—	73	1	no	—
674	#2814	—	73	1	no	—
675	#2402	—	73	1	no	—
676	#2402	—	73	1	no	—
677	#2401	—	73	1	no	—
678	#2401	—	73	1	no	—
679	#2401	—	73	1	no	—
680	#2401	—	73	1	no	—
681	#2399	—	73	1	no	—
682	#2399	—	73	1	no	—
683	#2398	—	73	1	no	—
684	#2396	—	73	1	no	—
685	#2396	—	73	1	no	—
686	#2395	—	73	1	no	—
687	C₄×C₂²⋊Q₈	—	73	1	no	—
688	C₄×C₂²⋊Q₈	D₇₃	1	1	yes	characteristic, complemented
689	C₄×#123	—	73	1	no	—
690	C₇₃	#36679	1	1	yes	characteristic, complemented, Sylow
691	C₂×#123	—	73	1	no	—
692	C₂×C₂²⋊Q₈	—	73	1	no	—
693	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic
694	C₂×C₄×Q₈	—	73	1	no	—
695	C₂×C₄×Q₈	—	73	1	no	—
696	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic
697	C₂×C₄×D₄	—	73	1	no	—
698	C₂×#117	—	73	1	no	—
699	C₂²×C₄²	C₂×D₇₃	1	1	yes	characteristic
700	#401	—	73	1	no	—
701	#401	—	73	1	no	—
702	#401	—	73	1	no	—
703	#401	—	73	1	no	—
704	#400	—	73	1	no	—
705	#400	—	73	1	no	—
706	#400	—	73	1	no	—
707	#400	—	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	—	73	1	no	—
721	#400	—	73	1	no	—
722	#400	—	73	1	no	—
723	#400	—	73	1	no	—
724	#400	—	73	1	no	—
725	#400	—	73	1	no	—
726	#400	—	73	1	no	—
727	#400	—	73	1	no	—
728	#400	—	73	1	no	—
729	#399	—	73	1	no	—
730	#399	—	73	1	no	—
731	#399	—	73	1	no	—
732	#398	—	73	1	no	—
733	#398	—	73	1	no	—
734	#398	—	73	1	no	—
735	#398	—	73	1	no	—
736	#398	—	73	1	no	—
737	#398	—	73	1	no	—
738	#398	—	73	1	no	—
739	#398	—	73	1	no	—
740	#398	—	73	1	no	—
741	#398	—	73	1	no	—
742	#398	—	73	1	no	—
743	#398	—	73	1	no	—
744	#398	—	73	1	no	—
745	#398	—	73	1	no	—
746	#398	—	73	1	no	—
747	#398	—	73	1	no	—
748	#398	—	73	1	no	—
749	#398	—	73	1	no	—
750	#398	—	73	1	no	—
751	#398	—	73	1	no	—
752	#398	—	73	1	no	—
753	#397	—	73	1	no	—
754	#397	—	73	1	no	—
755	#397	—	73	1	no	—
756	#397	—	73	1	no	—
757	#397	—	73	1	no	—
758	#397	—	73	1	no	—
759	#397	—	73	1	no	—
760	#397	—	73	1	no	—
761	#397	—	73	1	no	—
762	#397	—	73	1	no	—
763	#397	—	73	1	no	—
764	#397	—	73	1	no	—
765	#397	—	73	1	no	—
766	#397	—	73	1	no	—
767	#397	—	73	1	no	—
768	#397	—	73	1	no	—
769	#397	—	73	1	no	—
770	#396	—	73	1	no	—
771	#396	—	73	1	no	—
772	#396	—	73	1	no	—
773	#396	—	73	1	no	—
774	#396	—	73	1	no	—
775	#396	—	73	1	no	—
776	#396	—	73	1	no	—
777	#396	—	73	1	no	—
778	#395	—	73	1	no	—
779	#395	—	73	1	no	—
780	#395	—	73	1	no	—
781	#395	—	73	1	no	—
782	#395	—	73	1	no	—
783	#395	—	73	1	no	—
784	#395	—	73	1	no	—
785	#395	—	73	1	no	—
786	#395	—	73	1	no	—
787	#395	—	73	1	no	—
788	#394	—	73	1	no	—
789	#394	—	73	1	no	—
790	#394	—	73	1	no	—
791	#394	—	73	1	no	—
792	#393	—	73	1	no	—
793	#393	—	73	1	no	—
794	#393	—	73	1	no	—
795	#393	—	73	1	no	—
796	#391	—	73	1	no	—
797	#391	C₂×D₇₃	1	1	yes	characteristic
798	#389	—	73	1	no	—
799	#389	C₂×D₇₃	1	1	yes	characteristic
800	#388	—	73	1	no	—
801	#388	—	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	C₂×D₇₃	1	1	yes	characteristic
807	#387	C₂×D₇₃	1	1	yes	characteristic
808	#386	—	73	1	no	—
809	#385	—	73	1	no	—
810	#385	—	73	1	no	—
811	#385	—	73	1	no	—
812	#385	C₂×D₇₃	1	1	yes	characteristic
813	#385	C₂×D₇₃	1	1	yes	characteristic
814	#381	—	73	1	no	—
815	#380	—	73	1	no	—
816	#380	C₂×D₇₃	1	1	yes	characteristic
817	C₄×C₄⋊C₄	—	73	1	no	—
818	C₄×C₄⋊C₄	—	73	1	no	—
819	C₄×C₄⋊C₄	—	73	1	no	—
820	C₄×C₄⋊C₄	—	73	1	no	—
821	C₄×C₄⋊C₄	—	73	1	no	—
822	C₄×C₄⋊C₄	—	73	1	no	—
823	C₄×C₄⋊C₄	—	73	1	no	—
824	C₄×C₄⋊C₄	—	73	1	no	—
825	C₄×C₄⋊C₄	—	73	1	no	—
826	C₄×C₄⋊C₄	—	73	1	no	—
827	C₄×C₄⋊C₄	—	73	1	no	—
828	C₄×C₄⋊C₄	—	73	1	no	—
829	C₄×C₄⋊C₄	—	73	1	no	—
830	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
831	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
832	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
833	C₄×C₂²⋊C₄	—	73	1	no	—
834	C₄×C₂²⋊C₄	—	73	1	no	—
835	C₄×C₂²⋊C₄	—	73	1	no	—
836	C₄×C₂²⋊C₄	—	73	1	no	—
837	C₄×C₂²⋊C₄	—	73	1	no	—
838	C₄×C₂²⋊C₄	—	73	1	no	—
839	C₄×C₂²⋊C₄	—	73	1	no	—
840	C₄×C₂²⋊C₄	—	73	1	no	—
841	C₄×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
842	C₄×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
843	#376	—	73	1	no	—
844	#376	—	73	1	no	—
845	#376	—	73	1	no	—
846	C₂²×Q₈	—	73	1	no	—
847	C₂²×Q₈	—	73	1	no	—
848	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
849	C₂²×D₄	—	73	1	no	—
850	C₂³×C₄	—	73	1	no	—
851	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
852	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
853	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
854	#123	—	146	4	no	—
855	C₂²⋊Q₈	—	2	4	no	—
856	C₂²⋊Q₈	—	146	4	no	—
857	C₄×Q₈	—	4	2	no	—
858	C₄×Q₈	—	292	2	no	—
859	C₄×Q₈	—	292	2	no	—
860	C₄×D₄	—	292	2	no	—
861	#117	—	292	2	no	—
862	C₂×C₄⋊C₄	—	73	1	no	—
863	C₂×C₄⋊C₄	—	73	1	no	—
864	C₂×C₄⋊C₄	—	73	1	no	—
865	C₂×C₄⋊C₄	—	73	1	no	—
866	C₂×C₄⋊C₄	—	73	1	no	—
867	C₂×C₄⋊C₄	—	73	1	no	—
868	C₂×C₄⋊C₄	—	73	1	no	—
869	C₂×C₄⋊C₄	—	73	1	no	—
870	C₂×C₄⋊C₄	—	73	1	no	—
871	C₂×C₄⋊C₄	—	73	1	no	—
872	C₂×C₄⋊C₄	—	73	1	no	—
873	C₂×C₄⋊C₄	—	73	1	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	C₂²×D₇₃	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	—	73	1	no	—
907	C₂×C₂²⋊C₄	—	73	1	no	—
908	C₂×C₂²⋊C₄	—	73	1	no	—
909	C₂×C₂²⋊C₄	—	73	1	no	—
910	C₂×C₂²⋊C₄	—	73	1	no	—
911	C₂×C₂²⋊C₄	—	73	1	no	—
912	C₂×C₂²⋊C₄	—	73	1	no	—
913	C₂×C₂²⋊C₄	—	73	1	no	—
914	C₂×C₂²⋊C₄	—	73	1	no	—
915	C₂×C₂²⋊C₄	—	73	1	no	—
916	C₂×C₂²⋊C₄	—	73	1	no	—
917	C₂×C₂²⋊C₄	—	73	1	no	—
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	C₂²×D₇₃	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
930	C₂×C₄²	—	4	2	no	—
931	C₂×C₄²	—	73	1	no	—
932	C₂×C₄²	—	73	1	no	—
933	C₂×C₄²	—	73	1	no	—
934	C₂×C₄²	—	73	1	no	—
935	C₂×C₄²	—	73	1	no	—
936	C₂×C₄²	—	73	1	no	—
937	C₂×C₄²	—	73	1	no	—
938	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
939	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
940	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
941	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
942	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
943	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
944	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
945	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
946	#95	—	73	1	no	—
947	#95	—	73	1	no	—
948	#95	—	73	1	no	—
949	#95	—	73	1	no	—
950	#95	—	73	1	no	—
951	#95	—	73	1	no	—
952	#95	—	73	1	no	—
953	#95	—	73	1	no	—
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	C₂²×D₇₃	1	1	yes	characteristic
1001	#95	C₂²×D₇₃	1	1	yes	characteristic
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	C₂⁴	—	73	1	no	—
1011	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1012	C₂×Q₈	—	2	2	no	—
1013	C₂×Q₈	—	4	1	no	—
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×Q₈	—	292	1	no	—
1016	C₂×Q₈	—	292	1	no	—
1017	C₂×Q₈	—	292	1	no	—
1018	C₂×Q₈	—	292	1	no	—
1019	C₂×Q₈	—	292	1	no	—
1020	C₂×Q₈	—	146	2	no	—
1021	C₂×D₄	—	292	1	no	—
1022	C₂×D₄	—	292	1	no	—
1023	C₂×D₄	—	146	2	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	4	1	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	4	1	no	—
1030	C₂²×C₄	—	4	1	no	—
1031	C₂²×C₄	—	4	1	no	—
1032	C₂²×C₄	—	73	1	no	—
1033	C₂²×C₄	—	73	1	no	—
1034	C₂²×C₄	—	73	1	no	—
1035	C₂²×C₄	—	73	1	no	—
1036	C₂²×C₄	—	73	1	no	—
1037	C₂²×C₄	—	73	1	no	—
1038	C₂²×C₄	—	73	1	no	—
1039	C₂²×C₄	—	73	1	no	—
1040	C₂²×C₄	—	73	1	no	—
1041	C₂²×C₄	—	73	1	no	—
1042	C₂²×C₄	—	73	1	no	—
1043	C₂²×C₄	—	73	1	no	—
1044	C₂²×C₄	—	73	1	no	—
1045	C₂²×C₄	—	73	1	no	—
1046	C₂²×C₄	—	73	1	no	—
1047	C₂²×C₄	—	146	2	no	—
1048	C₂²×C₄	—	146	2	no	—
1049	C₂²×C₄	—	146	2	no	—
1050	C₂²×C₄	#11924028	1	4	yes	—
1051	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	292	1	no	—
1075	C₄⋊C₄	—	292	1	no	—
1076	C₄⋊C₄	—	292	1	no	—
1077	C₄⋊C₄	—	292	1	no	—
1078	C₄⋊C₄	—	292	1	no	—
1079	C₄⋊C₄	—	292	1	no	—
1080	C₄⋊C₄	—	292	1	no	—
1081	C₄⋊C₄	—	292	1	no	—
1082	C₄⋊C₄	—	292	1	no	—
1083	C₄⋊C₄	—	292	1	no	—
1084	C₄⋊C₄	—	292	1	no	—
1085	C₄⋊C₄	—	292	1	no	—
1086	C₄⋊C₄	—	292	1	no	—
1087	C₄⋊C₄	—	292	1	no	—
1088	C₄⋊C₄	—	292	1	no	—
1089	C₄⋊C₄	—	292	1	no	—
1090	C₄⋊C₄	—	292	1	no	—
1091	C₄⋊C₄	—	292	1	no	—
1092	C₄⋊C₄	—	292	1	no	—
1093	C₄⋊C₄	—	292	1	no	—
1094	C₄⋊C₄	—	292	1	no	—
1095	C₄⋊C₄	—	292	1	no	—
1096	C₄⋊C₄	—	292	1	no	—
1097	C₄⋊C₄	—	292	1	no	—
1098	C₄⋊C₄	—	292	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	—	146	2	no	—
1105	C₄⋊C₄	—	146	2	no	—
1106	C₄⋊C₄	—	146	2	no	—
1107	C₄⋊C₄	—	146	2	no	—
1108	C₄⋊C₄	—	146	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	2	no	—
1111	C₂²⋊C₄	—	4	1	no	—
1112	C₂²⋊C₄	—	4	1	no	—
1113	C₂²⋊C₄	—	292	1	no	—
1114	C₂²⋊C₄	—	292	1	no	—
1115	C₂²⋊C₄	—	292	1	no	—
1116	C₂²⋊C₄	—	292	1	no	—
1117	C₂²⋊C₄	—	292	1	no	—
1118	C₂²⋊C₄	—	292	1	no	—
1119	C₂²⋊C₄	—	292	1	no	—
1120	C₂²⋊C₄	—	292	1	no	—
1121	C₂²⋊C₄	—	292	1	no	—
1122	C₂²⋊C₄	—	292	1	no	—
1123	C₂²⋊C₄	—	292	1	no	—
1124	C₂²⋊C₄	—	292	1	no	—
1125	C₂²⋊C₄	—	292	1	no	—
1126	C₂²⋊C₄	—	292	1	no	—
1127	C₂²⋊C₄	—	292	1	no	—
1128	C₂²⋊C₄	—	146	2	no	—
1129	C₂²⋊C₄	—	146	2	no	—
1130	C₂²⋊C₄	—	146	2	no	—
1131	C₂²⋊C₄	—	146	2	no	—
1132	C₂²⋊C₄	—	146	2	no	—
1133	C₄²	—	2	2	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	2	no	—
1136	C₄²	—	2	2	no	—
1137	C₄²	—	2	2	no	—
1138	C₄²	—	2	2	no	—
1139	C₄²	—	4	1	no	—
1140	C₄²	—	4	1	no	—
1141	C₄²	—	146	2	no	—
1142	C₄²	—	146	2	no	—
1143	C₄²	—	146	2	no	—
1144	C₄²	—	146	2	no	—
1145	C₄²	—	146	2	no	—
1146	C₄²	—	146	2	no	—
1147	C₄²	—	146	2	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	146	1	no	—
1155	C₂³	—	146	1	no	—
1156	C₂³	—	146	1	no	—
1157	C₂³	—	146	1	no	—
1158	C₂³	—	146	1	no	—
1159	C₂³	—	146	1	no	—
1160	C₂³	—	146	1	no	—
1161	C₂³	C₂×#11924028	1	2	yes	—
1162	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1163	Q₈	—	4	4	no	—
1164	Q₈	—	292	4	no	—
1165	Q₈	—	292	4	no	—
1166	D₄	—	292	4	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	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	—	4	4	no	—
1205	C₂×C₄	—	4	4	no	—
1206	C₂×C₄	—	4	4	no	—
1207	C₂×C₄	—	292	4	no	—
1208	C₂×C₄	—	146	1	no	—
1209	C₂×C₄	—	146	1	no	—
1210	C₂×C₄	—	146	1	no	—
1211	C₂×C₄	—	146	1	no	—
1212	C₂×C₄	—	146	1	no	—
1213	C₂×C₄	—	146	1	no	—
1214	C₂×C₄	—	146	1	no	—
1215	C₂×C₄	—	146	1	no	—
1216	C₂×C₄	—	146	1	no	—
1217	C₂×C₄	—	146	1	no	—
1218	C₂×C₄	—	146	1	no	—
1219	C₂×C₄	—	146	1	no	—
1220	C₂×C₄	—	146	1	no	—
1221	C₂×C₄	—	146	1	no	—
1222	C₂×C₄	—	146	1	no	—
1223	C₂×C₄	—	146	1	no	—
1224	C₂×C₄	—	146	1	no	—
1225	C₂×C₄	—	146	1	no	—
1226	C₂×C₄	—	146	1	no	—
1227	C₂×C₄	—	146	1	no	—
1228	C₂×C₄	—	146	1	no	—
1229	C₂×C₄	—	146	1	no	—
1230	C₂×C₄	—	146	1	no	—
1231	C₂×C₄	—	146	1	no	—
1232	C₂×C₄	—	146	1	no	—
1233	C₂×C₄	—	146	1	no	—
1234	C₂×C₄	—	146	1	no	—
1235	C₂×C₄	—	146	1	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	C₂×#11924028	1	2	yes	—
1254	C₂×C₄	C₂×#11924028	1	2	yes	—
1255	C₂×C₄	#14556636	1	2	yes	—
1256	C₂×C₄	#14556638	1	2	yes	—
1257	C₂×C₄	#14556639	1	2	yes	—
1258	C₂²	—	2	2	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	4	1	no	—
1262	C₂²	—	4	1	no	—
1263	C₂²	—	4	1	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	292	1	no	—
1266	C₂²	—	292	1	no	—
1267	C₂²	—	292	1	no	—
1268	C₂²	—	292	1	no	—
1269	C₂²	—	292	1	no	—
1270	C₂²	—	292	1	no	—
1271	C₂²	—	292	1	no	—
1272	C₂²	C₂²×#11924028	1	1	yes	characteristic
1273	C₂²	C₂×#14556636	1	1	yes	characteristic
1274	C₂²	C₂×#14556638	1	1	yes	characteristic
1275	C₂²	C₂×#14556639	1	1	yes	characteristic
1276	C₂²	#17989423	1	1	yes	characteristic
1277	C₂²	#17989423	1	1	yes	characteristic
1278	C₂²	#17989423	1	1	yes	characteristic
1279	C₄	—	2	2	no	—
1280	C₄	—	2	2	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	292	1	no	—
1293	C₄	—	292	1	no	—
1294	C₄	—	292	1	no	—
1295	C₄	—	292	1	no	—
1296	C₄	—	292	1	no	—
1297	C₄	—	292	1	no	—
1298	C₄	—	292	1	no	—
1299	C₄	—	292	1	no	—
1300	C₄	—	292	1	no	—
1301	C₄	—	292	1	no	—
1302	C₄	—	292	1	no	—
1303	C₄	—	292	1	no	—
1304	C₄	—	292	1	no	—
1305	C₄	—	292	1	no	—
1306	C₄	—	292	1	no	—
1307	C₄	#17989338	1	4	yes	—
1308	C₂	—	4	2	no	—
1309	C₂	—	584	1	no	—
1310	C₂	#22623340	1	1	yes	characteristic
1311	C₂	#22623358	1	1	yes	characteristic
1312	C₂	#22623364	1	1	yes	characteristic
1313	C₂	C₂×#17989338	1	1	yes	characteristic
1314	C₂	#22624069	1	1	yes	characteristic
1315	C₂	#22624076	1	1	yes	characteristic
1316	C₂	#22624078	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Frattini	C₂³	C₂⁴×D₇₃
Fitting	C₄×C₂²⋊Q₈×C₇₃	C₂
prime radical	C₂²×C₂²⋊D₇₃	C₂³
hypercenter	C₄×C₂²⋊Q₈	D₇₃
hypocenter	C₇₃	#36679
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
1. #22618186	C₂	semidirect
2. #22618171	C₂	semidirect
3. #22618169	C₂	semidirect
4. #22618156	C₂	semidirect
5. #22618154	C₂	semidirect
6. #22618119	C₂	semidirect
7. #22618114	C₂	semidirect
8. #22618107	C₂	semidirect
9. #22618105	C₂	semidirect
10. #22618085	C₂	semidirect
11. #22618083	C₂	semidirect
14. #22617966	C₂	semidirect
17. #22613239	C₂	semidirect
18. #22613238	C₂	semidirect
19. #22613232	C₂	semidirect
20. #22613232	C₂	semidirect
21. #22613231	C₂	semidirect
22. #22613231	C₂	semidirect
23. #22613225	C₂	semidirect
24. #22613222	C₂	semidirect
26. #22613207	C₂	semidirect
27. #22613201	C₂	semidirect
29. C₄×#14556570	C₂	semidirect
31. C₄×C₂²⋊Q₈×C₇₃	C₂	semidirect
688. C₄×C₂²⋊Q₈	D₇₃	semidirect
690. C₇₃	#36679	semidirect

Maximal subgroups

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

subgroup	index
#22618186	2
#22618171	2
#22618169	2
#22618156	2
#22618154	2
#22618119	2
#22618114	2
#22618107	2
#22618105	2
#22618085	2
#22618083	2
#22618037	2
#22618033	2
#22617966	2
#22617946	2
#22617942	2
#22613239	2
#22613238	2
#22613232	2
#22613231	2
#22613225	2
#22613222	2
#22613218	2
#22613207	2
#22613201	2
#22613192	2
C₄×#14556570	2
C₄×#14556574	2
C₄×C₂²⋊Q₈×C₇₃	2
#36679	73