Subgroups — #30573284

Order 15616.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21460149	C₂	1	1	yes	maximal, characteristic, complemented
2	#21458903	C₂	1	1	yes	maximal, characteristic, complemented
3	#21458857	C₂	1	1	yes	maximal, characteristic, complemented
4	#21458572	C₂	1	1	yes	maximal, characteristic, complemented
5	#21458526	C₂	1	1	yes	maximal, characteristic, complemented
6	#21457954	C₂	1	1	yes	maximal, characteristic, complemented
7	#21457834	C₂	1	1	yes	maximal, characteristic, complemented
8	#21457819	C₂	1	1	yes	maximal, characteristic, complemented
9	#21457774	C₂	1	1	yes	maximal, characteristic, complemented
10	#21457648	C₂	1	1	yes	maximal, characteristic, complemented
11	#21457626	C₂	1	1	yes	maximal, characteristic, complemented
12	#21457500	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×#11758199	C₂	1	1	yes	maximal, characteristic, complemented
14	#21457355	C₂	1	1	yes	maximal, characteristic, complemented
15	#21457300	C₂	1	1	yes	maximal, characteristic, complemented
16	#21457300	C₂	1	1	yes	maximal, characteristic, complemented
17	#21457295	C₂	1	1	yes	maximal, characteristic, complemented
18	#21457254	C₂	1	1	yes	maximal, characteristic, complemented
19	#21457230	C₂	1	1	yes	maximal, characteristic, complemented
20	#21457166	C₂	1	1	yes	maximal, characteristic, complemented
21	#21456907	C₂	1	1	yes	maximal, characteristic, complemented
22	#21456863	C₂	1	1	yes	maximal, characteristic, complemented
23	#21456834	C₂	1	1	yes	maximal, characteristic, complemented
24	#21456062	C₂	1	1	yes	maximal, characteristic, complemented
25	#21456018	C₂	1	1	yes	maximal, characteristic, complemented
26	#21455957	C₂	1	1	yes	maximal, characteristic, complemented
27	#21455358	C₂	1	1	yes	maximal, characteristic, complemented
28	#21455322	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16839957	C₂	1	1	yes	maximal, characteristic, complemented
30	#21454958	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#3513	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14519803	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14519802	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14519797	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11758199	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#11758199	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#11758199	C₂²	1	1	yes	characteristic, complemented
38	#16840503	—	2	1	no	—
39	#16840503	—	2	1	no	—
40	#16840497	C₂²	1	1	yes	characteristic, complemented
41	#16840434	C₂²	1	1	yes	characteristic, complemented
42	#16840433	C₂²	1	1	yes	characteristic, complemented
43	#16840408	C₂²	1	1	yes	characteristic
44	#16840408	C₂²	1	1	yes	characteristic, complemented
45	#16840403	—	2	1	no	—
46	D₄×D₂₄₄	C₂²	1	1	yes	characteristic
47	D₄×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
48	D₄×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
49	#16840396	—	2	1	no	—
50	#16840368	—	2	1	no	—
51	#16840367	C₂²	1	1	yes	characteristic, complemented
52	#16840367	C₂²	1	1	yes	characteristic, complemented
53	#16840331	C₂²	1	1	yes	characteristic, complemented
54	#16840331	C₂²	1	1	yes	characteristic, complemented
55	#16840330	—	2	1	no	—
56	#16840323	—	2	1	no	—
57	#16840323	—	2	1	no	—
58	C₂×#14519774	C₂²	1	1	yes	characteristic, complemented
59	#16840296	C₂²	1	1	yes	characteristic, complemented
60	#16840152	C₂²	1	1	yes	characteristic, complemented
61	#16840152	C₂²	1	1	yes	characteristic, complemented
62	#16840152	C₂²	1	1	yes	characteristic, complemented
63	#16840149	C₂²	1	1	yes	characteristic, complemented
64	#16840144	C₂²	1	1	yes	characteristic, complemented
65	#16840138	C₂²	1	1	yes	characteristic, complemented
66	#16840128	C₂²	1	1	yes	characteristic, complemented
67	#16840128	C₂²	1	1	yes	characteristic, complemented
68	#16840128	C₂²	1	1	yes	characteristic, complemented
69	#16840124	C₂²	1	1	yes	characteristic, complemented
70	#16840119	C₂²	1	1	yes	characteristic, complemented
71	#16840110	C₂²	1	1	yes	characteristic, complemented
72	#16840092	C₂²	1	1	yes	characteristic, complemented
73	#16840086	C₂²	1	1	yes	characteristic, complemented
74	#16840086	C₂²	1	1	yes	characteristic, complemented
75	#16840080	C₂²	1	1	yes	characteristic, complemented
76	#16840075	C₂²	1	1	yes	characteristic, complemented
77	#16840075	C₂²	1	1	yes	characteristic, complemented
78	#16840069	C₂²	1	1	yes	characteristic, complemented
79	#16840066	C₂²	1	1	yes	characteristic, complemented
80	#16840062	C₂²	1	1	yes	characteristic, complemented
81	#16840062	C₂²	1	1	yes	characteristic, complemented
82	#16840062	C₂²	1	1	yes	characteristic, complemented
83	#16840059	C₂²	1	1	yes	characteristic, complemented
84	#16840059	C₂²	1	1	yes	characteristic, complemented
85	#16840059	C₂²	1	1	yes	characteristic, complemented
86	#16840049	C₂²	1	1	yes	characteristic, complemented
87	#16840039	C₂²	1	1	yes	characteristic, complemented
88	#16840013	C₂²	1	1	yes	characteristic, complemented
89	#16840013	C₂²	1	1	yes	characteristic, complemented
90	#16840013	C₂²	1	1	yes	characteristic, complemented
91	#16840010	C₂²	1	1	yes	characteristic, complemented
92	#16840001	C₂²	1	1	yes	characteristic, complemented
93	#16839996	C₂²	1	1	yes	characteristic
94	#16839996	C₂²	1	1	yes	characteristic, complemented
95	#16839996	C₂²	1	1	yes	characteristic, complemented
96	#16839996	C₂²	1	1	yes	characteristic, complemented
97	#16839993	C₂²	1	1	yes	characteristic, complemented
98	#16839993	C₂²	1	1	yes	characteristic, complemented
99	#16839989	C₂²	1	1	yes	characteristic, complemented
100	#16839984	C₂²	1	1	yes	characteristic, complemented
101	#16839984	C₂²	1	1	yes	characteristic, complemented
102	#16839981	C₂²	1	1	yes	characteristic, complemented
103	#16839977	C₂²	1	1	yes	characteristic, complemented
104	#16839977	C₂²	1	1	yes	characteristic, complemented
105	#16839977	C₂²	1	1	yes	characteristic, complemented
106	#16839977	C₂²	1	1	yes	characteristic, complemented
107	#16839977	C₂²	1	1	yes	characteristic, complemented
108	#16839977	C₂²	1	1	yes	characteristic, complemented
109	#16839974	C₂²	1	1	yes	characteristic, complemented
110	#16839974	C₂²	1	1	yes	characteristic, complemented
111	#16839974	C₂²	1	1	yes	characteristic, complemented
112	#16839962	C₂²	1	1	yes	characteristic, complemented
113	#16839962	C₂²	1	1	yes	characteristic, complemented
114	#16839962	C₂²	1	1	yes	characteristic, complemented
115	#16839957	C₂²	1	1	yes	characteristic
116	#16839957	C₂²	1	1	yes	characteristic, complemented
117	#16839957	C₂²	1	1	yes	characteristic, complemented
118	#16839957	C₂²	1	1	yes	characteristic, complemented
119	#16839957	C₂²	1	1	yes	characteristic, complemented
120	#16839957	C₂²	1	1	yes	characteristic, complemented
121	#16839957	C₂²	1	1	yes	characteristic, complemented
122	#16839957	C₂²	1	1	yes	characteristic, complemented
123	#16839957	C₂²	1	1	yes	characteristic, complemented
124	#16839957	C₂²	1	1	yes	characteristic, complemented
125	#16839957	C₂²	1	1	yes	characteristic, complemented
126	#16839957	C₂²	1	1	yes	characteristic, complemented
127	#16839957	C₂²	1	1	yes	characteristic, complemented
128	#16839954	C₂²	1	1	yes	characteristic, complemented
129	#16839954	C₂²	1	1	yes	characteristic, complemented
130	#16839922	C₂²	1	1	yes	characteristic, complemented
131	#16839913	C₂²	1	1	yes	characteristic, complemented
132	#16839912	C₂²	1	1	yes	characteristic, complemented
133	#16839912	C₂²	1	1	yes	characteristic, complemented
134	#16839912	C₂²	1	1	yes	characteristic, complemented
135	#16839907	C₂²	1	1	yes	characteristic, complemented
136	#16839907	C₂²	1	1	yes	characteristic, complemented
137	#16839905	C₂²	1	1	yes	characteristic, complemented
138	#16839905	C₂²	1	1	yes	characteristic, complemented
139	#16839905	C₂²	1	1	yes	characteristic, complemented
140	#16839896	C₂²	1	1	yes	characteristic
141	#16839896	C₂²	1	1	yes	characteristic, complemented
142	#16839896	C₂²	1	1	yes	characteristic, complemented
143	#16839895	C₂²	1	1	yes	characteristic, complemented
144	#16839895	C₂²	1	1	yes	characteristic, complemented
145	#16839895	C₂²	1	1	yes	characteristic, complemented
146	#16839895	C₂²	1	1	yes	characteristic, complemented
147	#16839895	C₂²	1	1	yes	characteristic, complemented
148	#16839893	C₂²	1	1	yes	characteristic, complemented
149	#16839893	C₂²	1	1	yes	characteristic, complemented
150	#16839872	C₂²	1	1	yes	characteristic, complemented
151	#16839872	C₂²	1	1	yes	characteristic, complemented
152	#16839872	C₂²	1	1	yes	characteristic, complemented
153	#16839872	C₂²	1	1	yes	characteristic, complemented
154	#16839872	C₂²	1	1	yes	characteristic, complemented
155	#16839862	C₂²	1	1	yes	characteristic, complemented
156	#16839862	C₂²	1	1	yes	characteristic, complemented
157	#16839860	C₂²	1	1	yes	characteristic, complemented
158	C₄×#11758201	C₂²	1	1	yes	characteristic, complemented
159	C₄×#11758199	C₂²	1	1	yes	characteristic, complemented
160	C₄×#11758199	C₂²	1	1	yes	characteristic, complemented
161	C₄×#11758199	C₂²	1	1	yes	characteristic, complemented
162	#16839834	C₂²	1	1	yes	characteristic, complemented
163	#16839834	C₂²	1	1	yes	characteristic, complemented
164	#16839834	C₂²	1	1	yes	characteristic, complemented
165	#16839834	C₂²	1	1	yes	characteristic, complemented
166	D₄×#92418	C₂²	1	1	yes	characteristic, complemented
167	D₄×#92418	C₂²	1	1	yes	characteristic, complemented
168	#16839823	C₂²	1	1	yes	characteristic, complemented
169	#16839823	C₂²	1	1	yes	characteristic, complemented
170	#16839819	C₂²	1	1	yes	characteristic, complemented
171	#16839789	C₂²	1	1	yes	characteristic, complemented
172	#16839789	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₄⋊#92418	C₂²	1	1	yes	characteristic, complemented
174	#16839766	C₂²	1	1	yes	characteristic, complemented
175	#16839761	C₂²	1	1	yes	characteristic, complemented
176	#16839756	C₂²	1	1	yes	characteristic, complemented
177	C₂×#14519697	C₂²	1	1	yes	characteristic, complemented
178	C₂×#14519697	C₂²	1	1	yes	characteristic, complemented
179	C₂×#14519697	C₂²	1	1	yes	characteristic, complemented
180	C₆₁×#559	C₂²	1	1	yes	characteristic, complemented
181	C₆₁×#554	C₂²	1	1	yes	characteristic, complemented
182	C₆₁×#553	—	2	1	no	—
183	C₆₁×#553	C₂²	1	1	yes	characteristic, complemented
184	C₆₁×#552	C₂²	1	1	yes	characteristic, complemented
185	C₆₁×#551	—	2	1	no	—
186	C₆₁×#551	—	2	1	no	—
187	C₆₁×#547	C₂²	1	1	yes	characteristic, complemented
188	C₆₁×#546	—	2	1	no	—
189	C₆₁×#546	C₂²	1	1	yes	characteristic, complemented
190	C₆₁×#546	C₂²	1	1	yes	characteristic, complemented
191	D₄²×C₆₁	C₂²	1	1	yes	characteristic, complemented
192	C₆₁×#542	C₂²	1	1	yes	characteristic, complemented
193	C₆₁×#540	C₂²	1	1	yes	characteristic, complemented
194	C₆₁×#539	—	2	1	no	—
195	C₆₁×#538	—	2	1	no	—
196	C₆₁×#529	C₂²	1	1	yes	characteristic
197	C₆₁×#529	C₂²	1	1	yes	characteristic, complemented
198	C₆₁×#525	—	2	1	no	—
199	C₂×#123×C₆₁	—	2	1	no	—
200	C₆₁×#520	C₂²	1	1	yes	characteristic, complemented
201	C₆₁×#518	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11758226	—	2	1	no	—
204	C₂×#11758222	C₂³	1	1	yes	characteristic
205	C₂×#11758222	C₂³	1	1	yes	characteristic
206	C₂²×D₂₄₄	—	2	1	no	—
207	C₂²×D₂₄₄	—	2	1	no	—
208	C₂²×D₂₄₄	C₂³	1	1	yes	characteristic
209	C₂²×D₂₄₄	C₂³	1	1	yes	characteristic
210	C₂²×D₂₄₄	C₂³	1	1	yes	characteristic
211	C₂²×D₂₄₄	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₆₁	—	2	1	no	—
213	C₂×D₄×D₆₁	—	2	1	no	—
214	C₂×D₄×D₆₁	—	2	1	no	—
215	#14519803	—	4	2	no	—
216	#14519802	—	4	2	no	—
217	#14519797	—	4	2	no	—
218	C₂×#11758202	C₂³	1	1	yes	characteristic
219	C₂×#11758200	C₂³	1	1	yes	characteristic
220	C₂×#11758200	C₂³	1	1	yes	characteristic
221	C₂×#11758200	C₂³	1	1	yes	characteristic
222	C₂×#11758201	C₂³	1	1	yes	characteristic
223	C₂×#11758201	C₂³	1	1	yes	characteristic
224	C₂×#11758201	C₂³	1	1	yes	characteristic
225	C₂×#11758201	C₂³	1	1	yes	characteristic
226	C₂×#11758201	C₂³	1	1	yes	characteristic
227	C₂×#11758199	—	4	2	no	—
228	C₂×#11758199	—	4	2	no	—
229	C₂×#11758199	—	4	2	no	—
230	C₂×#11758199	C₂³	1	1	yes	characteristic
231	C₂×#11758199	C₂³	1	1	yes	characteristic
232	C₂×#11758199	C₂³	1	1	yes	characteristic
233	C₂×#11758199	C₂³	1	1	yes	characteristic
234	C₂×#11758199	C₂³	1	1	yes	characteristic
235	C₂×#11758199	C₂³	1	1	yes	characteristic
236	C₂×#11758199	C₂³	1	1	yes	characteristic
237	C₂×#11758199	C₂³	1	1	yes	characteristic
238	C₂×#11758199	C₂³	1	1	yes	characteristic
239	C₂×#11758199	C₂³	1	1	yes	characteristic
240	C₂×#11758199	C₂³	1	1	yes	characteristic
241	C₂×#11758199	C₂³	1	1	yes	characteristic
242	C₂×#11758199	C₂³	1	1	yes	characteristic
243	C₂×#11758199	C₂³	1	1	yes	characteristic
244	C₂×#11758199	C₂³	1	1	yes	characteristic
245	C₂×#11758194	C₂³	1	1	yes	characteristic
246	C₂×#11758194	C₂³	1	1	yes	characteristic
247	C₂²×#92418	C₂³	1	1	yes	characteristic
248	C₂²×#92418	C₂³	1	1	yes	characteristic
249	C₂²×#92418	C₂³	1	1	yes	characteristic
250	C₂²×#92418	C₂³	1	1	yes	characteristic
251	#14519774	—	2	1	no	—
252	#14519774	—	2	1	no	—
253	#14519774	C₂³	1	1	yes	characteristic
254	#14519774	C₂³	1	1	yes	characteristic
255	#14519774	C₂³	1	1	yes	characteristic
256	#14519774	C₂³	1	1	yes	characteristic
257	#14519774	C₂³	1	1	yes	characteristic
258	#14519774	C₂³	1	1	yes	characteristic
259	#14519773	—	2	1	no	—
260	#14519771	—	2	1	no	—
261	#14519769	C₂³	1	1	yes	characteristic
262	#14519766	—	2	1	no	—
263	#14519765	C₂³	1	1	yes	characteristic
264	#14519765	C₂³	1	1	yes	characteristic
265	#14519765	C₂³	1	1	yes	characteristic
266	#14519762	—	2	1	no	—
267	#14519762	—	2	1	no	—
268	#14519762	—	2	1	no	—
269	#14519762	—	2	1	no	—
270	#14519762	—	2	1	no	—
271	#14519762	—	2	1	no	—
272	#14519762	—	2	1	no	—
273	#14519762	—	2	1	no	—
274	#14519760	—	2	1	no	—
275	#14519756	C₂³	1	1	yes	characteristic
276	#14519752	—	2	1	no	—
277	#14519752	—	2	1	no	—
278	#14519752	—	2	1	no	—
279	#14519752	—	2	1	no	—
280	#14519752	—	2	1	no	—
281	#14519752	—	2	1	no	—
282	#14519752	—	2	1	no	—
283	#14519752	—	2	1	no	—
284	#14519752	—	2	1	no	—
285	#14519752	—	2	1	no	—
286	#14519751	C₂³	1	1	yes	characteristic
287	#14519751	C₂³	1	1	yes	characteristic
288	#14519751	C₂³	1	1	yes	characteristic
289	#14519751	C₂³	1	1	yes	characteristic
290	#14519751	C₂³	1	1	yes	characteristic
291	#14519750	—	2	1	no	—
292	#14519750	—	2	1	no	—
293	#14519750	—	2	1	no	—
294	#14519750	—	2	1	no	—
295	#14519750	—	2	1	no	—
296	#14519750	—	2	1	no	—
297	#14519750	—	2	1	no	—
298	#14519750	—	2	1	no	—
299	#14519747	—	2	1	no	—
300	#14519747	—	2	1	no	—
301	#14519747	—	2	1	no	—
302	#14519747	—	2	1	no	—
303	#14519747	—	2	1	no	—
304	#14519747	—	2	1	no	—
305	#14519747	—	2	1	no	—
306	#14519747	—	2	1	no	—
307	#14519747	—	2	1	no	—
308	#14519747	—	2	1	no	—
309	#14519745	—	2	1	no	—
310	#14519745	—	2	1	no	—
311	C₄×Dic₁₂₂	C₂³	1	1	yes	characteristic
312	C₄×D₂₄₄	C₂³	1	1	yes	characteristic
313	C₄×D₂₄₄	C₂³	1	1	yes	characteristic
314	C₄×D₂₄₄	C₂³	1	1	yes	characteristic
315	C₄×D₂₄₄	C₂³	1	1	yes	characteristic
316	C₄×D₂₄₄	C₂³	1	1	yes	characteristic
317	#14519739	—	2	1	no	—
318	#14519739	—	2	1	no	—
319	C₄×C₂²⋊D₆₁	—	2	1	no	—
320	#14519734	—	2	1	no	—
321	C₂²⋊C₄×D₆₁	—	2	1	no	—
322	C₂²⋊C₄×D₆₁	—	2	1	no	—
323	#14519710	C₂³	1	1	yes	characteristic
324	#14519710	C₂³	1	1	yes	characteristic
325	#14519710	C₂³	1	1	yes	characteristic
326	#14519710	C₂³	1	1	yes	characteristic
327	#14519708	C₂³	1	1	yes	characteristic
328	#14519708	C₂³	1	1	yes	characteristic
329	#14519708	C₂³	1	1	yes	characteristic
330	#14519708	C₂³	1	1	yes	characteristic
331	C₄⋊#92418	C₂³	1	1	yes	characteristic
332	C₄⋊#92418	C₂³	1	1	yes	characteristic
333	C₄⋊#92418	C₂³	1	1	yes	characteristic
334	C₄⋊#92418	C₂³	1	1	yes	characteristic
335	C₄⋊#92418	C₂³	1	1	yes	characteristic
336	C₄⋊#92418	C₂³	1	1	yes	characteristic
337	C₄⋊#92418	C₂³	1	1	yes	characteristic
338	C₄⋊#92418	C₂³	1	1	yes	characteristic
339	C₄⋊#92418	C₂³	1	1	yes	characteristic
340	C₄⋊#92418	C₂³	1	1	yes	characteristic
341	#14519701	C₂³	1	1	yes	characteristic
342	#14519701	C₂³	1	1	yes	characteristic
343	#14519700	C₂³	1	1	yes	characteristic
344	#14519700	C₂³	1	1	yes	characteristic
345	#14519700	C₂³	1	1	yes	characteristic
346	#14519700	C₂³	1	1	yes	characteristic
347	#14519698	C₂³	1	1	yes	characteristic
348	#14519698	C₂³	1	1	yes	characteristic
349	#14519698	C₂³	1	1	yes	characteristic
350	#14519698	C₂³	1	1	yes	characteristic
351	#14519698	C₂³	1	1	yes	characteristic
352	#14519698	C₂³	1	1	yes	characteristic
353	#14519697	C₂³	1	1	yes	characteristic
354	#14519697	C₂³	1	1	yes	characteristic
355	#14519697	C₂³	1	1	yes	characteristic
356	#14519697	C₂³	1	1	yes	characteristic
357	#14519697	C₂³	1	1	yes	characteristic
358	#14519697	C₂³	1	1	yes	characteristic
359	#14519697	C₂³	1	1	yes	characteristic
360	#14519697	C₂³	1	1	yes	characteristic
361	#14519697	C₂³	1	1	yes	characteristic
362	#14519697	C₂³	1	1	yes	characteristic
363	#14519697	C₂³	1	1	yes	characteristic
364	#14519697	C₂³	1	1	yes	characteristic
365	#14519697	C₂³	1	1	yes	characteristic
366	#14519697	C₂³	1	1	yes	characteristic
367	#14519697	C₂³	1	1	yes	characteristic
368	#14519697	C₂³	1	1	yes	characteristic
369	#14519697	C₂³	1	1	yes	characteristic
370	#14519697	C₂³	1	1	yes	characteristic
371	#14519697	C₂³	1	1	yes	characteristic
372	#14519697	C₂³	1	1	yes	characteristic
373	C₂²⋊#92418	C₂³	1	1	yes	characteristic
374	C₂²⋊#92418	C₂³	1	1	yes	characteristic
375	C₂²⋊#92418	C₂³	1	1	yes	characteristic
376	C₂²⋊#92418	C₂³	1	1	yes	characteristic
377	C₂²⋊#92418	C₂³	1	1	yes	characteristic
378	C₂²⋊#92418	C₂³	1	1	yes	characteristic
379	#14519688	C₂³	1	1	yes	characteristic
380	#14519688	C₂³	1	1	yes	characteristic
381	#14519688	C₂³	1	1	yes	characteristic
382	#14519688	C₂³	1	1	yes	characteristic
383	C₄×#92418	C₂³	1	1	yes	characteristic
384	C₄×#92418	C₂³	1	1	yes	characteristic
385	C₂×#41×C₆₁	—	2	1	no	—
386	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
387	C₂²×D₄×C₆₁	—	2	1	no	—
388	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
389	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
390	C₂³×C₄×C₆₁	—	2	1	no	—
391	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
392	#127×C₆₁	C₂³	1	1	yes	characteristic
393	#126×C₆₁	—	2	1	no	—
394	#126×C₆₁	—	2	1	no	—
395	#126×C₆₁	—	2	1	no	—
396	#126×C₆₁	—	2	1	no	—
397	#126×C₆₁	D₄	1	1	yes	characteristic
398	#126×C₆₁	D₄	1	1	yes	characteristic
399	#125×C₆₁	—	2	1	no	—
400	#125×C₆₁	D₄	1	1	yes	characteristic
401	#125×C₆₁	C₂³	1	1	yes	characteristic
402	#125×C₆₁	C₂³	1	1	yes	characteristic
403	#124×C₆₁	—	2	1	no	—
404	#124×C₆₁	—	2	1	no	—
405	#124×C₆₁	D₄	1	1	yes	characteristic
406	#124×C₆₁	C₂³	1	1	yes	characteristic
407	#124×C₆₁	C₂³	1	1	yes	characteristic
408	#123×C₆₁	—	2	1	no	—
409	#123×C₆₁	—	2	1	no	—
410	#123×C₆₁	—	2	1	no	—
411	#123×C₆₁	—	2	1	no	—
412	#123×C₆₁	—	2	1	no	—
413	#123×C₆₁	—	2	1	no	—
414	#123×C₆₁	—	2	1	no	—
415	#123×C₆₁	—	2	1	no	—
416	#123×C₆₁	—	2	1	no	—
417	#123×C₆₁	—	2	1	no	—
418	#123×C₆₁	—	2	1	no	—
419	#123×C₆₁	—	2	1	no	—
420	#123×C₆₁	D₄	1	1	yes	characteristic
421	#123×C₆₁	D₄	1	1	yes	characteristic
422	C₂²⋊Q₈×C₆₁	—	2	1	no	—
423	C₂²⋊Q₈×C₆₁	—	2	1	no	—
424	C₂²⋊Q₈×C₆₁	—	2	1	no	—
425	C₂²⋊Q₈×C₆₁	—	2	1	no	—
426	C₂²⋊Q₈×C₆₁	—	2	1	no	—
427	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
428	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
429	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
430	#121×C₆₁	—	2	1	no	—
431	#121×C₆₁	—	2	1	no	—
432	#121×C₆₁	—	2	1	no	—
433	#121×C₆₁	—	2	1	no	—
434	#121×C₆₁	—	2	1	no	—
435	#121×C₆₁	—	2	1	no	—
436	#121×C₆₁	D₄	1	1	yes	characteristic
437	#121×C₆₁	C₂³	1	1	yes	characteristic
438	#121×C₆₁	C₂³	1	1	yes	characteristic
439	#121×C₆₁	C₂³	1	1	yes	characteristic
440	#121×C₆₁	C₂³	1	1	yes	characteristic
441	#120×C₆₁	—	2	1	no	—
442	#120×C₆₁	—	2	1	no	—
443	#120×C₆₁	—	2	1	no	—
444	#120×C₆₁	—	2	1	no	—
445	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
446	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
447	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
448	C₄×D₄×C₆₁	—	2	1	no	—
449	C₄×D₄×C₆₁	—	2	1	no	—
450	C₄×D₄×C₆₁	—	2	1	no	—
451	C₄×D₄×C₆₁	—	2	1	no	—
452	C₄×D₄×C₆₁	—	2	1	no	—
453	C₄×D₄×C₆₁	—	2	1	no	—
454	C₄×D₄×C₆₁	—	2	1	no	—
455	C₄×D₄×C₆₁	—	2	1	no	—
456	C₄×D₄×C₆₁	—	2	1	no	—
457	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
459	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
460	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
461	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
462	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
463	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
464	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
465	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
466	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
467	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
468	#117×C₆₁	—	2	1	no	—
469	#117×C₆₁	—	2	1	no	—
470	#117×C₆₁	—	2	1	no	—
471	#117×C₆₁	C₂³	1	1	yes	characteristic
472	#117×C₆₁	C₂³	1	1	yes	characteristic
473	#117×C₆₁	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
475	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
476	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
477	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
478	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
479	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
480	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
481	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
482	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
483	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
484	C₂⁴×C₆₁	—	2	1	no	—
485	C₂⁴×C₆₁	—	2	1	no	—
486	C₂³×D₆₁	—	2	1	no	—
487	C₂³×D₆₁	—	2	1	no	—
488	C₂³×D₆₁	—	2	1	no	—
489	C₂³×D₆₁	—	2	1	no	—
490	#41×C₆₁	—	2	2	no	—
491	#41×C₆₁	—	4	1	no	—
492	#41×C₆₁	—	8	2	no	—
493	C₂×Q₈×C₆₁	—	2	1	no	—
494	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₆₁	—	2	2	no	—
497	C₂×D₄×C₆₁	—	2	2	no	—
498	C₂×D₄×C₆₁	—	2	1	no	—
499	C₂×D₄×C₆₁	—	2	1	no	—
500	C₂×D₄×C₆₁	—	2	1	no	—
501	C₂×D₄×C₆₁	—	2	1	no	—
502	C₂×D₄×C₆₁	—	2	1	no	—
503	C₂×D₄×C₆₁	—	2	1	no	—
504	C₂×D₄×C₆₁	—	2	1	no	—
505	C₂×D₄×C₆₁	—	2	1	no	—
506	C₂×D₄×C₆₁	—	2	1	no	—
507	C₂×D₄×C₆₁	—	4	1	no	—
508	C₂×D₄×C₆₁	—	4	1	no	—
509	C₂×D₄×C₆₁	—	8	2	no	—
510	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₆₁	—	2	1	no	—
517	C₂²×C₄×C₆₁	—	2	1	no	—
518	C₂²×C₄×C₆₁	—	2	1	no	—
519	C₂²×C₄×C₆₁	—	2	1	no	—
520	C₂²×C₄×C₆₁	—	2	1	no	—
521	C₂²×C₄×C₆₁	—	2	1	no	—
522	C₂²×C₄×C₆₁	—	2	1	no	—
523	C₂²×C₄×C₆₁	—	2	1	no	—
524	C₂²×C₄×C₆₁	—	2	1	no	—
525	C₂²×C₄×C₆₁	—	2	1	no	—
526	C₂²×C₄×C₆₁	—	2	1	no	—
527	C₂²×C₄×C₆₁	—	8	2	no	—
528	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
533	C₂×C₂²⋊D₆₁	—	2	1	no	—
534	C₂×C₂²⋊D₆₁	—	2	1	no	—
535	C₂×C₂²⋊D₆₁	—	2	1	no	—
536	C₂×C₂²⋊D₆₁	—	2	1	no	—
537	C₂×C₂²⋊D₆₁	—	2	1	no	—
538	C₂×C₂²⋊D₆₁	—	2	1	no	—
539	C₂×C₂²⋊D₆₁	—	2	1	no	—
540	#11758226	—	8	2	no	—
541	D₄×D₆₁	—	8	2	no	—
542	D₄×D₆₁	—	8	2	no	—
543	D₄×D₆₁	—	8	2	no	—
544	#11758222	—	4	1	no	—
545	#11758222	—	4	1	no	—
546	#11758222	—	4	1	no	—
547	#11758222	—	4	1	no	—
548	C₂×D₂₄₄	—	2	1	no	—
549	C₂×D₂₄₄	—	2	1	no	—
550	C₂×D₂₄₄	—	2	1	no	—
551	C₂×D₂₄₄	—	2	1	no	—
552	C₂×D₂₄₄	—	2	1	no	—
553	C₂×D₂₄₄	—	2	1	no	—
554	C₂×D₂₄₄	—	2	1	no	—
555	C₂×D₂₄₄	—	2	1	no	—
556	C₂×D₂₄₄	—	2	1	no	—
557	C₂×D₂₄₄	—	2	1	no	—
558	C₂×D₂₄₄	—	2	1	no	—
559	C₂×D₂₄₄	—	2	1	no	—
560	C₂×D₂₄₄	—	2	1	no	—
561	C₂×D₂₄₄	—	2	1	no	—
562	C₂×D₂₄₄	—	2	1	no	—
563	C₂×D₂₄₄	—	2	1	no	—
564	C₂×D₂₄₄	—	4	1	no	—
565	C₂×D₂₄₄	—	4	1	no	—
566	C₂×D₂₄₄	—	4	1	no	—
567	C₂×D₂₄₄	—	4	1	no	—
568	C₂×D₂₄₄	—	4	1	no	—
569	C₂×D₂₄₄	—	4	1	no	—
570	C₂×D₂₄₄	—	4	1	no	—
571	C₂×D₂₄₄	—	4	1	no	—
572	C₂×D₂₄₄	—	8	2	no	—
573	C₂×D₂₄₄	—	8	2	no	—
574	C₂×D₂₄₄	C₂⁴	1	1	yes	characteristic
575	C₂×D₂₄₄	C₂⁴	1	1	yes	characteristic
576	C₂×D₂₄₄	C₂⁴	1	1	yes	characteristic
577	C₂×D₂₄₄	C₂⁴	1	1	yes	characteristic
578	C₂×D₂₄₄	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₆₁	—	2	1	no	—
580	C₂×C₄×D₆₁	—	2	1	no	—
581	C₂×C₄×D₆₁	—	2	1	no	—
582	C₂×C₄×D₆₁	—	2	1	no	—
583	C₂×C₄×D₆₁	—	2	1	no	—
584	C₂×C₄×D₆₁	—	2	1	no	—
585	C₂×C₄×D₆₁	—	2	1	no	—
586	C₂×Dic₁₂₂	C₂⁴	1	1	yes	characteristic
587	C₄⋊C₄×C₆₁	—	2	1	no	—
588	C₄⋊C₄×C₆₁	—	2	1	no	—
589	C₄⋊C₄×C₆₁	—	2	1	no	—
590	C₄⋊C₄×C₆₁	—	2	1	no	—
591	C₄⋊C₄×C₆₁	—	2	1	no	—
592	C₄⋊C₄×C₆₁	—	2	1	no	—
593	C₄⋊C₄×C₆₁	—	2	1	no	—
594	C₄⋊C₄×C₆₁	—	2	1	no	—
595	C₄⋊C₄×C₆₁	—	2	1	no	—
596	C₄⋊C₄×C₆₁	—	2	1	no	—
597	C₄⋊C₄×C₆₁	—	2	1	no	—
598	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
612	C₂²⋊C₄×C₆₁	—	2	1	no	—
613	C₂²⋊C₄×C₆₁	—	2	1	no	—
614	C₂²⋊C₄×C₆₁	—	2	1	no	—
615	C₂²⋊C₄×C₆₁	—	2	1	no	—
616	C₂²⋊C₄×C₆₁	—	2	1	no	—
617	C₂²⋊C₄×C₆₁	—	2	1	no	—
618	C₂²⋊C₄×C₆₁	—	2	1	no	—
619	C₂²⋊C₄×C₆₁	—	2	1	no	—
620	C₂²⋊C₄×C₆₁	—	2	1	no	—
621	C₂²⋊C₄×C₆₁	—	2	1	no	—
622	C₂²⋊C₄×C₆₁	—	2	1	no	—
623	C₂²⋊C₄×C₆₁	—	2	1	no	—
624	C₂²⋊C₄×C₆₁	—	2	1	no	—
625	C₂²⋊C₄×C₆₁	—	2	1	no	—
626	C₂²⋊C₄×C₆₁	—	2	1	no	—
627	C₂²⋊C₄×C₆₁	—	2	1	no	—
628	C₂²⋊C₄×C₆₁	—	2	1	no	—
629	C₂²⋊C₄×C₆₁	—	2	1	no	—
630	C₂²⋊C₄×C₆₁	—	2	1	no	—
631	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
632	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
633	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
634	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
635	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
636	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
637	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
638	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
639	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
641	C₄²×C₆₁	—	2	1	no	—
642	C₄²×C₆₁	—	2	1	no	—
643	C₄²×C₆₁	—	2	1	no	—
644	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
645	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
646	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
647	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
648	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
649	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
650	C₂²⋊Dic₆₁	—	2	1	no	—
651	#11758202	—	4	1	no	—
652	#11758201	—	4	1	no	—
653	#11758201	—	4	1	no	—
654	#11758201	—	4	1	no	—
655	#11758201	—	4	1	no	—
656	#11758201	—	4	1	no	—
657	#11758200	—	2	2	no	—
658	#11758200	—	4	1	no	—
659	#11758200	—	4	1	no	—
660	#11758199	—	2	2	no	—
661	#11758199	—	2	2	no	—
662	#11758199	—	2	2	no	—
663	#11758199	—	2	2	no	—
664	#11758199	—	2	2	no	—
665	#11758199	—	4	1	no	—
666	#11758199	—	4	1	no	—
667	#11758199	—	4	1	no	—
668	#11758199	—	4	1	no	—
669	#11758199	—	4	1	no	—
670	#11758199	—	4	1	no	—
671	#11758199	—	4	1	no	—
672	#11758199	—	4	1	no	—
673	#11758199	—	4	1	no	—
674	#11758199	—	4	1	no	—
675	#11758198	—	2	1	no	—
676	#11758198	—	2	1	no	—
677	#11758198	—	2	1	no	—
678	#11758198	—	2	1	no	—
679	#11758198	—	2	1	no	—
680	#11758198	—	2	1	no	—
681	#11758198	—	2	1	no	—
682	#11758198	—	2	1	no	—
683	#11758198	—	2	1	no	—
684	#11758198	—	2	1	no	—
685	#11758198	—	2	1	no	—
686	#11758198	—	2	1	no	—
687	#11758198	—	2	1	no	—
688	#11758198	—	2	1	no	—
689	#11758198	—	2	1	no	—
690	#11758198	—	2	1	no	—
691	C₄⋊Dic₆₁	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₆₁	C₂⁴	1	1	yes	characteristic
693	#11758196	—	2	1	no	—
694	#11758196	—	2	1	no	—
695	#11758196	—	2	1	no	—
696	#11758196	—	2	1	no	—
697	C₄×Dic₆₁	—	2	1	no	—
698	#11758194	—	4	1	no	—
699	#11758194	—	4	1	no	—
700	C₂×#92418	—	4	1	no	—
701	C₂×#92418	—	4	1	no	—
702	C₂×#92418	—	4	1	no	—
703	C₂×#92418	—	4	1	no	—
704	C₂×#92418	C₂⁴	1	1	yes	characteristic
705	C₂×#92418	C₂⁴	1	1	yes	characteristic
706	C₂×#92418	C₂⁴	1	1	yes	characteristic
707	C₂×#92418	C₂⁴	1	1	yes	characteristic
708	C₂×#92418	C₂⁴	1	1	yes	characteristic
709	C₂×#92418	C₂⁴	1	1	yes	characteristic
710	C₂×#92418	C₂⁴	1	1	yes	characteristic
711	C₂×#92418	C₂⁴	1	1	yes	characteristic
712	C₂³×C₆₁	—	2	1	no	—
713	C₂³×C₆₁	—	2	1	no	—
714	C₂³×C₆₁	—	2	1	no	—
715	C₂³×C₆₁	—	4	2	no	—
716	C₂³×C₆₁	—	4	2	no	—
717	C₂³×C₆₁	—	4	2	no	—
718	C₂³×C₆₁	—	8	1	no	—
719	C₂³×C₆₁	—	8	1	no	—
720	C₂³×C₆₁	—	8	1	no	—
721	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
722	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
723	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
724	C₂²×D₆₁	—	2	1	no	—
725	C₂²×D₆₁	—	2	1	no	—
726	C₂²×D₆₁	—	2	1	no	—
727	C₂²×D₆₁	—	2	1	no	—
728	C₂²×D₆₁	—	2	1	no	—
729	C₂²×D₆₁	—	4	2	no	—
730	C₂²×D₆₁	—	4	2	no	—
731	C₂²×D₆₁	—	8	1	no	—
732	C₂²×D₆₁	—	8	1	no	—
733	C₂²×D₆₁	—	8	1	no	—
734	C₂²×D₆₁	—	8	1	no	—
735	C₂²×D₆₁	—	8	1	no	—
736	C₂²×D₆₁	—	8	1	no	—
737	C₂²×D₆₁	—	8	1	no	—
738	C₂²×D₆₁	—	8	1	no	—
739	C₂²×D₆₁	—	8	1	no	—
740	C₂²×D₆₁	—	8	1	no	—
741	Q₈×C₆₁	—	2	1	no	—
742	Q₈×C₆₁	—	2	1	no	—
743	Q₈×C₆₁	—	4	1	no	—
744	Q₈×C₆₁	—	8	1	no	—
745	D₄×C₆₁	—	2	2	no	—
746	D₄×C₆₁	—	2	2	no	—
747	D₄×C₆₁	—	2	1	no	—
748	D₄×C₆₁	—	2	1	no	—
749	D₄×C₆₁	—	2	1	no	—
750	D₄×C₆₁	—	2	1	no	—
751	D₄×C₆₁	—	2	1	no	—
752	D₄×C₆₁	—	4	1	no	—
753	D₄×C₆₁	—	4	2	no	—
754	D₄×C₆₁	—	4	2	no	—
755	D₄×C₆₁	—	4	2	no	—
756	D₄×C₆₁	—	4	2	no	—
757	D₄×C₆₁	—	8	1	no	—
758	D₄×C₆₁	—	8	1	no	—
759	D₄×C₆₁	—	8	1	no	—
760	D₄×C₆₁	—	8	1	no	—
761	D₄×C₆₁	—	8	1	no	—
762	D₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
763	C₂×C₄×C₆₁	—	2	2	no	—
764	C₂×C₄×C₆₁	—	2	1	no	—
765	C₂×C₄×C₆₁	—	2	1	no	—
766	C₂×C₄×C₆₁	—	2	1	no	—
767	C₂×C₄×C₆₁	—	2	1	no	—
768	C₂×C₄×C₆₁	—	2	1	no	—
769	C₂×C₄×C₆₁	—	2	1	no	—
770	C₂×C₄×C₆₁	—	2	1	no	—
771	C₂×C₄×C₆₁	—	2	1	no	—
772	C₂×C₄×C₆₁	—	2	1	no	—
773	C₂×C₄×C₆₁	—	2	1	no	—
774	C₂×C₄×C₆₁	—	2	1	no	—
775	C₂×C₄×C₆₁	—	4	1	no	—
776	C₂×C₄×C₆₁	—	4	2	no	—
777	C₂×C₄×C₆₁	—	4	2	no	—
778	C₂×C₄×C₆₁	—	8	1	no	—
779	C₂×C₄×C₆₁	—	8	1	no	—
780	C₂×C₄×C₆₁	—	8	1	no	—
781	C₂×C₄×C₆₁	—	8	1	no	—
782	C₂×C₄×C₆₁	—	8	1	no	—
783	C₂×C₄×C₆₁	—	8	1	no	—
784	C₂×C₄×C₆₁	—	8	1	no	—
785	C₂×C₄×C₆₁	—	8	1	no	—
786	C₂×C₄×C₆₁	—	8	1	no	—
787	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₆₁	C₂⁵	1	1	yes	characteristic
799	C₂²⋊D₆₁	—	4	2	no	—
800	C₂²⋊D₆₁	—	8	1	no	—
801	C₂²⋊D₆₁	—	8	1	no	—
802	C₂²⋊D₆₁	—	8	1	no	—
803	C₂²⋊D₆₁	—	8	1	no	—
804	C₂²⋊D₆₁	—	8	1	no	—
805	C₂²⋊D₆₁	—	8	1	no	—
806	C₂×Dic₆₁	—	2	1	no	—
807	C₂×Dic₆₁	—	2	1	no	—
808	C₂×Dic₆₁	—	2	1	no	—
809	D₂₄₄	—	2	1	no	—
810	D₂₄₄	—	2	1	no	—
811	D₂₄₄	—	2	1	no	—
812	D₂₄₄	—	2	1	no	—
813	D₂₄₄	—	2	1	no	—
814	D₂₄₄	—	2	1	no	—
815	D₂₄₄	—	2	1	no	—
816	D₂₄₄	—	2	1	no	—
817	D₂₄₄	—	2	1	no	—
818	D₂₄₄	—	2	1	no	—
819	D₂₄₄	—	4	2	no	—
820	D₂₄₄	—	4	2	no	—
821	D₂₄₄	—	8	1	no	—
822	D₂₄₄	—	8	1	no	—
823	D₂₄₄	—	8	1	no	—
824	D₂₄₄	—	8	1	no	—
825	D₂₄₄	—	8	1	no	—
826	D₂₄₄	—	8	1	no	—
827	D₂₄₄	—	8	1	no	—
828	D₂₄₄	—	8	1	no	—
829	D₂₄₄	—	8	1	no	—
830	D₂₄₄	—	8	1	no	—
831	D₂₄₄	—	8	1	no	—
832	D₂₄₄	—	8	1	no	—
833	D₂₄₄	—	8	1	no	—
834	D₂₄₄	—	8	1	no	—
835	C₄×D₆₁	—	4	2	no	—
836	C₄×D₆₁	—	8	1	no	—
837	C₄×D₆₁	—	8	1	no	—
838	C₄×D₆₁	—	8	1	no	—
839	C₄×D₆₁	—	8	1	no	—
840	C₄×D₆₁	—	8	1	no	—
841	C₄×D₆₁	—	8	1	no	—
842	Dic₁₂₂	—	2	1	no	—
843	Dic₁₂₂	—	2	1	no	—
844	#92418	—	2	1	no	—
845	#92418	—	2	1	no	—
846	#92418	—	2	1	no	—
847	#92418	—	2	1	no	—
848	#92418	—	2	1	no	—
849	#92418	—	2	1	no	—
850	#92418	—	2	1	no	—
851	#92418	—	2	1	no	—
852	#62007	—	61	1	no	maximal, Sylow
853	C₂²×C₆₁	—	2	1	no	—
854	C₂²×C₆₁	—	2	1	no	—
855	C₂²×C₆₁	—	2	1	no	—
856	C₂²×C₆₁	—	2	1	no	—
857	C₂²×C₆₁	—	2	1	no	—
858	C₂²×C₆₁	—	2	1	no	—
859	C₂²×C₆₁	—	2	2	no	—
860	C₂²×C₆₁	—	2	1	no	—
861	C₂²×C₆₁	—	2	1	no	—
862	C₂²×C₆₁	—	4	1	no	—
863	C₂²×C₆₁	—	4	1	no	—
864	C₂²×C₆₁	—	4	1	no	—
865	C₂²×C₆₁	—	4	1	no	—
866	C₂²×C₆₁	—	4	1	no	—
867	C₂²×C₆₁	—	4	1	no	—
868	C₂²×C₆₁	—	4	1	no	—
869	C₂²×C₆₁	—	4	1	no	—
870	C₂²×C₆₁	—	8	4	no	—
871	C₂²×C₆₁	—	16	2	no	—
872	C₂²×C₆₁	#576	1	2	yes	—
873	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
874	C₂×D₆₁	—	4	1	no	—
875	C₂×D₆₁	—	4	1	no	—
876	C₂×D₆₁	—	4	1	no	—
877	C₂×D₆₁	—	4	1	no	—
878	C₂×D₆₁	—	4	1	no	—
879	C₂×D₆₁	—	4	1	no	—
880	C₂×D₆₁	—	4	1	no	—
881	C₂×D₆₁	—	4	1	no	—
882	C₂×D₆₁	—	4	1	no	—
883	C₂×D₆₁	—	4	1	no	—
884	C₂×D₆₁	—	4	1	no	—
885	C₂×D₆₁	—	4	1	no	—
886	C₂×D₆₁	—	4	1	no	—
887	C₂×D₆₁	—	4	1	no	—
888	C₂×D₆₁	—	4	1	no	—
889	C₂×D₆₁	—	16	2	no	—
890	C₂×D₆₁	—	16	2	no	—
891	C₂×D₆₁	—	16	2	no	—
892	C₂×D₆₁	—	16	2	no	—
893	C₄×C₆₁	—	2	1	no	—
894	C₄×C₆₁	—	2	1	no	—
895	C₄×C₆₁	—	2	1	no	—
896	C₄×C₆₁	—	2	1	no	—
897	C₄×C₆₁	—	2	1	no	—
898	C₄×C₆₁	—	2	1	no	—
899	C₄×C₆₁	—	2	1	no	—
900	C₄×C₆₁	—	2	1	no	—
901	C₄×C₆₁	—	2	1	no	—
902	C₄×C₆₁	—	2	1	no	—
903	C₄×C₆₁	—	2	1	no	—
904	C₄×C₆₁	—	4	1	no	—
905	C₄×C₆₁	—	4	1	no	—
906	C₄×C₆₁	—	4	1	no	—
907	C₄×C₆₁	—	4	1	no	—
908	C₄×C₆₁	—	4	1	no	—
909	C₄×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
910	C₄×C₆₁	#585	1	1	yes	characteristic
911	Dic₆₁	—	4	1	no	—
912	Dic₆₁	—	4	1	no	—
913	Dic₆₁	—	4	1	no	—
914	#3543	—	61	1	no	—
915	#3513	D₆₁	1	1	yes	characteristic, complemented
916	#3403	—	61	1	no	—
917	#3399	—	61	1	no	—
918	#3370	—	61	1	no	—
919	#3366	—	61	1	no	—
920	#3318	—	61	1	no	—
921	#3310	—	61	1	no	—
922	#3309	—	61	1	no	—
923	#3306	—	61	1	no	—
924	#3296	—	61	1	no	—
925	#3294	—	61	1	no	—
926	#3280	—	61	1	no	—
927	D₄×D₈	—	61	1	no	—
928	#3268	—	61	1	no	—
929	#3264	—	61	1	no	—
930	#3264	—	61	1	no	—
931	#3264	—	61	1	no	—
932	#3259	—	61	1	no	—
933	#3257	—	61	1	no	—
934	#3250	—	61	1	no	—
935	#3224	—	61	1	no	—
936	#3220	—	61	1	no	—
937	#3217	—	61	1	no	—
938	#3122	—	61	1	no	—
939	#3119	—	61	1	no	—
940	#3114	—	61	1	no	—
941	#3045	—	61	1	no	—
942	#3041	—	61	1	no	—
943	C₂×#459	—	61	1	no	—
944	#2992	—	61	1	no	—
945	C₂×C₆₁	—	2	2	no	—
946	C₂×C₆₁	—	4	1	no	—
947	C₂×C₆₁	—	4	1	no	—
948	C₂×C₆₁	—	4	2	no	—
949	C₂×C₆₁	—	8	1	no	—
950	C₂×C₆₁	—	8	1	no	—
951	C₂×C₆₁	#3488	1	1	yes	characteristic
952	C₂×C₆₁	C₂×#576	1	1	yes	characteristic
953	C₂×C₆₁	#3585	1	1	yes	characteristic
954	D₆₁	—	8	1	no	—
955	D₆₁	—	8	1	no	—
956	D₆₁	—	8	1	no	—
957	D₆₁	—	8	1	no	—
958	D₆₁	—	8	1	no	—
959	C₂×AGL(1,ℤ/8)	—	61	1	no	—
960	C₂×AGL(1,ℤ/8)	—	61	1	no	—
961	C₂×#135	—	61	1	no	—
962	C₂²×D₈	—	61	1	no	—
963	C₂²×D₈	—	61	1	no	—
964	C₂²×D₈	—	61	1	no	—
965	#560	—	122	1	no	—
966	#560	—	122	1	no	—
967	#559	—	61	1	no	—
968	#559	C₂×D₆₁	1	1	yes	characteristic, complemented
969	#554	C₂×D₆₁	1	1	yes	characteristic, complemented
970	#553	—	2	1	no	—
971	#553	C₂×D₆₁	1	1	yes	characteristic, complemented
972	#552	C₂×D₆₁	1	1	yes	characteristic, complemented
973	#551	—	2	1	no	—
974	#551	—	2	1	no	—
975	#550	—	61	1	no	—
976	#550	—	61	1	no	—
977	#547	C₂×D₆₁	1	1	yes	characteristic, complemented
978	#546	—	2	1	no	—
979	#546	—	61	1	no	—
980	#546	—	61	1	no	—
981	#546	—	122	1	no	—
982	#546	C₂×D₆₁	1	1	yes	characteristic, complemented
983	#546	C₂×D₆₁	1	1	yes	characteristic, complemented
984	D₄²	—	61	1	no	—
985	D₄²	—	61	1	no	—
986	D₄²	—	61	1	no	—
987	D₄²	—	122	1	no	—
988	D₄²	C₂×D₆₁	1	1	yes	characteristic, complemented
989	#542	C₂×D₆₁	1	1	yes	characteristic, complemented
990	#540	—	61	1	no	—
991	#540	—	61	1	no	—
992	#540	—	122	1	no	—
993	#540	C₂×D₆₁	1	1	yes	characteristic, complemented
994	#539	—	2	1	no	—
995	#538	—	2	1	no	—
996	#535	—	61	1	no	—
997	#535	—	61	1	no	—
998	#535	—	122	1	no	—
999	#534	—	122	1	no	—
1000	#534	—	122	1	no	—
1001	C₂×#127	—	61	1	no	—
1002	#529	—	61	1	no	—
1003	#529	C₂×D₆₁	1	1	yes	characteristic
1004	#529	C₂×D₆₁	1	1	yes	characteristic, complemented
1005	#525	—	2	1	no	—
1006	C₂×#123	—	2	1	no	—
1007	#520	C₂×D₆₁	1	1	yes	characteristic, complemented
1008	#518	C₂×D₆₁	1	1	yes	characteristic, complemented
1009	C₂×C₄×D₄	C₂×D₆₁	1	1	yes	characteristic, complemented
1010	#496	—	61	1	no	—
1011	#496	—	61	1	no	—
1012	#496	—	61	1	no	—
1013	#496	—	61	1	no	—
1014	#495	—	61	1	no	—
1015	#493	—	61	1	no	—
1016	#490	—	61	1	no	—
1017	#490	—	61	1	no	—
1018	#490	—	61	1	no	—
1019	#489	—	61	1	no	—
1020	#488	—	61	1	no	—
1021	#486	—	61	1	no	—
1022	#483	—	61	1	no	—
1023	#482	—	61	1	no	—
1024	#482	—	61	1	no	—
1025	#481	—	61	1	no	—
1026	#480	—	61	1	no	—
1027	#480	—	61	1	no	—
1028	#479	—	61	1	no	—
1029	#479	—	61	1	no	—
1030	#478	—	61	1	no	—
1031	#478	—	61	1	no	—
1032	#478	—	61	1	no	—
1033	#478	—	61	1	no	—
1034	#478	—	61	1	no	—
1035	#478	—	61	1	no	—
1036	#476	—	61	1	no	—
1037	#474	—	61	1	no	—
1038	#469	—	61	1	no	—
1039	#469	—	61	1	no	—
1040	#469	—	61	1	no	—
1041	#468	—	61	1	no	—
1042	#467	—	61	1	no	—
1043	#466	—	61	1	no	—
1044	#466	—	61	1	no	—
1045	#466	—	61	1	no	—
1046	#466	—	61	1	no	—
1047	#465	—	61	1	no	—
1048	#465	—	61	1	no	—
1049	#465	—	61	1	no	—
1050	#464	—	61	1	no	—
1051	#464	—	61	1	no	—
1052	#464	—	61	1	no	—
1053	#463	—	61	1	no	—
1054	#463	—	61	1	no	—
1055	#463	—	61	1	no	—
1056	#463	—	61	1	no	—
1057	#463	—	61	1	no	—
1058	#463	—	61	1	no	—
1059	#463	—	61	1	no	—
1060	#463	—	61	1	no	—
1061	#463	—	61	1	no	—
1062	#460	—	61	1	no	—
1063	#460	—	61	1	no	—
1064	#460	—	61	1	no	—
1065	#459	—	61	1	no	—
1066	#459	—	61	1	no	—
1067	#459	—	61	1	no	—
1068	#459	—	61	1	no	—
1069	#459	—	61	1	no	—
1070	#459	—	61	1	no	—
1071	#459	—	61	1	no	—
1072	#459	—	61	1	no	—
1073	#459	—	61	1	no	—
1074	#459	—	61	1	no	—
1075	#459	—	61	1	no	—
1076	#459	—	61	1	no	—
1077	#459	—	61	1	no	—
1078	#459	—	61	1	no	—
1079	#459	—	61	1	no	—
1080	#452	—	61	1	no	—
1081	#450	—	61	1	no	—
1082	#450	—	61	1	no	—
1083	#450	—	61	1	no	—
1084	#450	—	61	1	no	—
1085	#449	—	61	1	no	—
1086	#449	—	61	1	no	—
1087	#449	—	61	1	no	—
1088	#449	—	61	1	no	—
1089	#449	—	61	1	no	—
1090	#447	—	61	1	no	—
1091	#447	—	61	1	no	—
1092	#447	—	61	1	no	—
1093	#447	—	61	1	no	—
1094	#447	—	61	1	no	—
1095	#447	—	61	1	no	—
1096	#447	—	61	1	no	—
1097	#447	—	61	1	no	—
1098	#446	—	61	1	no	—
1099	#446	—	61	1	no	—
1100	#442	—	61	1	no	—
1101	#442	—	61	1	no	—
1102	#442	—	61	1	no	—
1103	#442	—	61	1	no	—
1104	#442	—	61	1	no	—
1105	#440	—	61	1	no	—
1106	#440	—	61	1	no	—
1107	#440	—	61	1	no	—
1108	C₄×SD₁₆	—	61	1	no	—
1109	C₄×D₈	—	61	1	no	—
1110	C₄×D₈	—	61	1	no	—
1111	C₄×D₈	—	61	1	no	—
1112	#435	—	61	1	no	—
1113	#435	—	61	1	no	—
1114	#435	—	61	1	no	—
1115	#435	—	61	1	no	—
1116	C₈×D₄	—	61	1	no	—
1117	C₈×D₄	—	61	1	no	—
1118	#433	—	61	1	no	—
1119	#433	—	61	1	no	—
1120	#432	—	61	1	no	—
1121	#424	—	61	1	no	—
1122	#424	—	61	1	no	—
1123	C₂×C₄⋊C₈	—	61	1	no	—
1124	#418	—	61	1	no	—
1125	#417	—	61	1	no	—
1126	#416	—	61	1	no	—
1127	C₂×#102	—	61	1	no	—
1128	C₂×#102	—	61	1	no	—
1129	C₂×#102	—	61	1	no	—
1130	C₆₁	#62007	1	1	yes	characteristic, complemented, Sylow
1131	C₂×#41	—	2	1	no	—
1132	C₂×#41	—	61	1	no	—
1133	C₂×#41	—	61	1	no	—
1134	C₂×#41	—	122	1	no	—
1135	C₂×#41	C₂²×D₆₁	1	1	yes	characteristic
1136	C₂²×D₄	—	2	1	no	—
1137	C₂²×D₄	—	61	1	no	—
1138	C₂²×D₄	—	61	1	no	—
1139	C₂²×D₄	—	61	1	no	—
1140	C₂²×D₄	—	61	1	no	—
1141	C₂²×D₄	—	122	1	no	—
1142	C₂²×D₄	—	122	1	no	—
1143	C₂²×D₄	—	122	1	no	—
1144	C₂²×D₄	—	122	1	no	—
1145	C₂²×D₄	—	122	1	no	—
1146	C₂²×D₄	C₂²×D₆₁	1	1	yes	characteristic
1147	C₂²×D₄	C₂²×D₆₁	1	1	yes	characteristic
1148	C₂³×C₄	—	2	1	no	—
1149	AGL(1,ℤ/8)	—	244	2	no	—
1150	AGL(1,ℤ/8)	—	244	2	no	—
1151	#135	—	244	2	no	—
1152	C₂×Q₁₆	—	61	1	no	—
1153	C₂×SD₁₆	—	61	1	no	—
1154	C₂×SD₁₆	—	61	1	no	—
1155	C₂×SD₁₆	—	61	1	no	—
1156	C₂×SD₁₆	—	61	1	no	—
1157	C₂×SD₁₆	—	61	1	no	—
1158	C₂×SD₁₆	—	61	1	no	—
1159	C₂×SD₁₆	—	61	1	no	—
1160	C₂×SD₁₆	—	61	1	no	—
1161	C₂×D₈	—	61	1	no	—
1162	C₂×D₈	—	61	1	no	—
1163	C₂×D₈	—	61	1	no	—
1164	C₂×D₈	—	61	1	no	—
1165	C₂×D₈	—	61	1	no	—
1166	C₂×D₈	—	61	1	no	—
1167	C₂×D₈	—	61	1	no	—
1168	C₂×D₈	—	61	1	no	—
1169	C₂×D₈	—	61	1	no	—
1170	C₂×D₈	—	61	1	no	—
1171	C₂×D₈	—	61	1	no	—
1172	C₂×D₈	—	61	1	no	—
1173	C₂×D₈	—	61	1	no	—
1174	C₂×D₈	—	61	1	no	—
1175	C₂×D₈	—	61	1	no	—
1176	C₂×D₈	—	244	2	no	—
1177	C₂×D₈	—	244	2	no	—
1178	C₂×D₈	—	244	2	no	—
1179	C₂×M₁₆	—	61	1	no	—
1180	C₂×M₁₆	—	61	1	no	—
1181	C₂²×C₈	—	61	1	no	—
1182	C₂²×C₈	—	61	1	no	—
1183	C₂²×C₈	—	61	1	no	—
1184	C₂²×C₈	—	61	1	no	—
1185	C₄⋊Q₈	C₂²×D₆₁	1	1	yes	characteristic
1186	#127	—	61	1	no	—
1187	#127	—	61	1	no	—
1188	#127	—	61	1	no	—
1189	#127	—	61	1	no	—
1190	#127	—	61	1	no	—
1191	#127	—	61	1	no	—
1192	#127	—	122	1	no	—
1193	#127	—	122	1	no	—
1194	#127	—	122	1	no	—
1195	#127	C₂²×D₆₁	1	1	yes	characteristic
1196	#126	—	2	1	no	—
1197	#126	—	2	1	no	—
1198	#126	—	2	1	no	—
1199	#126	—	2	1	no	—
1200	#126	—	122	1	no	—
1201	#126	C₂²⋊D₆₁	1	1	yes	characteristic
1202	#126	C₂²⋊D₆₁	1	1	yes	characteristic
1203	#125	—	2	1	no	—
1204	#125	—	61	1	no	—
1205	#125	C₂²⋊D₆₁	1	1	yes	characteristic
1206	#125	C₂²×D₆₁	1	1	yes	characteristic
1207	#125	C₂²×D₆₁	1	1	yes	characteristic
1208	#124	—	2	1	no	—
1209	#124	—	2	1	no	—
1210	#124	—	61	1	no	—
1211	#124	—	61	1	no	—
1212	#124	—	61	1	no	—
1213	#124	—	122	1	no	—
1214	#124	C₂²⋊D₆₁	1	1	yes	characteristic
1215	#124	C₂²×D₆₁	1	1	yes	characteristic
1216	#124	C₂²×D₆₁	1	1	yes	characteristic
1217	#123	—	2	1	no	—
1218	#123	—	2	1	no	—
1219	#123	—	2	1	no	—
1220	#123	—	2	1	no	—
1221	#123	—	2	1	no	—
1222	#123	—	2	1	no	—
1223	#123	—	2	1	no	—
1224	#123	—	2	1	no	—
1225	#123	—	2	1	no	—
1226	#123	—	2	1	no	—
1227	#123	—	2	1	no	—
1228	#123	—	2	1	no	—
1229	#123	—	122	1	no	—
1230	#123	—	122	1	no	—
1231	#123	—	122	1	no	—
1232	#123	—	122	1	no	—
1233	#123	—	122	1	no	—
1234	#123	—	122	1	no	—
1235	#123	—	122	1	no	—
1236	#123	—	122	1	no	—
1237	#123	—	122	1	no	—
1238	#123	C₂²⋊D₆₁	1	1	yes	characteristic
1239	#123	C₂²⋊D₆₁	1	1	yes	characteristic
1240	C₂²⋊Q₈	—	2	1	no	—
1241	C₂²⋊Q₈	—	2	1	no	—
1242	C₂²⋊Q₈	—	2	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	—	2	1	no	—
1245	C₂²⋊Q₈	—	61	1	no	—
1246	C₂²⋊Q₈	C₂²⋊D₆₁	1	1	yes	characteristic
1247	C₂²⋊Q₈	C₂²×D₆₁	1	1	yes	characteristic
1248	C₂²⋊Q₈	C₂²×D₆₁	1	1	yes	characteristic
1249	#121	—	2	1	no	—
1250	#121	—	2	1	no	—
1251	#121	—	2	1	no	—
1252	#121	—	2	1	no	—
1253	#121	—	2	1	no	—
1254	#121	—	2	1	no	—
1255	#121	—	61	1	no	—
1256	#121	—	61	1	no	—
1257	#121	—	61	1	no	—
1258	#121	—	61	1	no	—
1259	#121	—	61	1	no	—
1260	#121	—	122	1	no	—
1261	#121	—	122	1	no	—
1262	#121	—	122	1	no	—
1263	#121	—	122	1	no	—
1264	#121	—	122	1	no	—
1265	#121	—	122	1	no	—
1266	#121	—	122	1	no	—
1267	#121	—	122	1	no	—
1268	#121	—	122	1	no	—
1269	#121	—	122	1	no	—
1270	#121	—	122	1	no	—
1271	#121	—	122	1	no	—
1272	#121	—	122	1	no	—
1273	#121	—	122	1	no	—
1274	#121	—	122	1	no	—
1275	#121	—	122	1	no	—
1276	#121	—	122	1	no	—
1277	#121	—	122	1	no	—
1278	#121	C₂²⋊D₆₁	1	1	yes	characteristic
1279	#121	C₂²×D₆₁	1	1	yes	characteristic
1280	#121	C₂²×D₆₁	1	1	yes	characteristic
1281	#121	C₂²×D₆₁	1	1	yes	characteristic
1282	#121	C₂²×D₆₁	1	1	yes	characteristic
1283	#120	—	2	1	no	—
1284	#120	—	2	1	no	—
1285	#120	—	2	1	no	—
1286	#120	—	2	1	no	—
1287	#120	—	122	1	no	—
1288	#120	—	122	1	no	—
1289	#120	—	122	1	no	—
1290	#120	—	122	1	no	—
1291	#120	—	122	1	no	—
1292	#120	—	122	1	no	—
1293	#120	—	122	1	no	—
1294	#120	—	122	1	no	—
1295	#120	—	122	1	no	—
1296	#120	—	122	1	no	—
1297	#120	—	122	1	no	—
1298	#120	—	122	1	no	—
1299	C₄×Q₈	—	61	1	no	—
1300	C₄×Q₈	C₂²×D₆₁	1	1	yes	characteristic
1301	C₄×Q₈	C₂²×D₆₁	1	1	yes	characteristic
1302	C₄×Q₈	C₂²×D₆₁	1	1	yes	characteristic
1303	C₄×D₄	—	2	1	no	—
1304	C₄×D₄	—	2	1	no	—
1305	C₄×D₄	—	2	1	no	—
1306	C₄×D₄	—	2	1	no	—
1307	C₄×D₄	—	2	1	no	—
1308	C₄×D₄	—	2	1	no	—
1309	C₄×D₄	—	2	1	no	—
1310	C₄×D₄	—	2	1	no	—
1311	C₄×D₄	—	2	1	no	—
1312	C₄×D₄	—	61	1	no	—
1313	C₄×D₄	—	61	1	no	—
1314	C₄×D₄	—	61	1	no	—
1315	C₄×D₄	—	61	1	no	—
1316	C₄×D₄	—	61	1	no	—
1317	C₄×D₄	—	122	1	no	—
1318	C₄×D₄	—	122	1	no	—
1319	C₄×D₄	—	122	1	no	—
1320	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1321	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1322	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1323	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1324	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1325	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1326	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1327	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1328	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1329	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1330	C₄×D₄	C₂²×D₆₁	1	1	yes	characteristic
1331	#117	—	2	1	no	—
1332	#117	—	2	1	no	—
1333	#117	—	2	1	no	—
1334	#117	—	122	1	no	—
1335	#117	C₂²×D₆₁	1	1	yes	characteristic
1336	#117	C₂²×D₆₁	1	1	yes	characteristic
1337	#117	C₂²×D₆₁	1	1	yes	characteristic
1338	C₂×C₄⋊C₄	—	2	1	no	—
1339	C₂×C₄⋊C₄	—	2	1	no	—
1340	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1341	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1342	C₂×C₂²⋊C₄	—	2	1	no	—
1343	C₂×C₂²⋊C₄	—	2	1	no	—
1344	C₂×C₂²⋊C₄	—	2	1	no	—
1345	C₂×C₂²⋊C₄	—	2	1	no	—
1346	C₂×C₂²⋊C₄	—	2	1	no	—
1347	C₂×C₂²⋊C₄	—	122	1	no	—
1348	C₂×C₂²⋊C₄	—	122	1	no	—
1349	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1350	#107	—	61	1	no	—
1351	#107	—	61	1	no	—
1352	#107	—	61	1	no	—
1353	#107	—	61	1	no	—
1354	#106	—	61	1	no	—
1355	#106	—	61	1	no	—
1356	#106	—	61	1	no	—
1357	#106	—	61	1	no	—
1358	C₄⋊C₈	—	61	1	no	—
1359	C₄⋊C₈	—	61	1	no	—
1360	C₄⋊C₈	—	61	1	no	—
1361	C₄⋊C₈	—	61	1	no	—
1362	C₄⋊C₈	—	61	1	no	—
1363	C₄⋊C₈	—	61	1	no	—
1364	C₄⋊C₈	—	61	1	no	—
1365	C₄⋊C₈	—	61	1	no	—
1366	C₄⋊C₈	—	61	1	no	—
1367	C₄⋊C₈	—	61	1	no	—
1368	#103	—	61	1	no	—
1369	#103	—	61	1	no	—
1370	#103	—	61	1	no	—
1371	#103	—	61	1	no	—
1372	#103	—	61	1	no	—
1373	#103	—	61	1	no	—
1374	#102	—	61	1	no	—
1375	#102	—	61	1	no	—
1376	#102	—	61	1	no	—
1377	#102	—	61	1	no	—
1378	#102	—	61	1	no	—
1379	#102	—	61	1	no	—
1380	#102	—	61	1	no	—
1381	#102	—	61	1	no	—
1382	#102	—	61	1	no	—
1383	#102	—	61	1	no	—
1384	#102	—	61	1	no	—
1385	#102	—	61	1	no	—
1386	#102	—	61	1	no	—
1387	#102	—	61	1	no	—
1388	#102	—	61	1	no	—
1389	#102	—	61	1	no	—
1390	#102	—	61	1	no	—
1391	#102	—	61	1	no	—
1392	#102	—	61	1	no	—
1393	#102	—	61	1	no	—
1394	#102	—	61	1	no	—
1395	#102	—	61	1	no	—
1396	#102	—	61	1	no	—
1397	#102	—	61	1	no	—
1398	#102	—	61	1	no	—
1399	#102	—	61	1	no	—
1400	C₂²⋊C₈	—	61	1	no	—
1401	C₂²⋊C₈	—	61	1	no	—
1402	C₂²⋊C₈	—	61	1	no	—
1403	C₂²⋊C₈	—	61	1	no	—
1404	C₂²⋊C₈	—	61	1	no	—
1405	C₂²⋊C₈	—	61	1	no	—
1406	#97	—	61	1	no	—
1407	#97	—	61	1	no	—
1408	#97	—	61	1	no	—
1409	#97	—	61	1	no	—
1410	C₄×C₈	—	61	1	no	—
1411	C₄×C₈	—	61	1	no	—
1412	C₂⁴	—	2	1	no	—
1413	C₂⁴	—	2	1	no	—
1414	C₂⁴	—	122	1	no	—
1415	C₂⁴	—	122	1	no	—
1416	C₂⁴	—	122	1	no	—
1417	C₂⁴	—	122	1	no	—
1418	#41	—	2	2	no	—
1419	#41	—	4	1	no	—
1420	#41	—	8	2	no	—
1421	#41	—	488	2	no	—
1422	#41	—	244	1	no	—
1423	#41	—	244	1	no	—
1424	#41	—	244	1	no	—
1425	#41	—	244	1	no	—
1426	C₂×Q₈	—	2	1	no	—
1427	C₂×Q₈	—	61	1	no	—
1428	C₂×Q₈	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1429	C₂×Q₈	C₂³×D₆₁	1	1	yes	characteristic
1430	C₂×D₄	—	2	2	no	—
1431	C₂×D₄	—	2	2	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	4	1	no	—
1442	C₂×D₄	—	4	1	no	—
1443	C₂×D₄	—	8	2	no	—
1444	C₂×D₄	—	61	1	no	—
1445	C₂×D₄	—	61	1	no	—
1446	C₂×D₄	—	61	1	no	—
1447	C₂×D₄	—	61	1	no	—
1448	C₂×D₄	—	61	1	no	—
1449	C₂×D₄	—	122	1	no	—
1450	C₂×D₄	—	122	1	no	—
1451	C₂×D₄	—	122	1	no	—
1452	C₂×D₄	—	122	1	no	—
1453	C₂×D₄	—	122	1	no	—
1454	C₂×D₄	—	122	1	no	—
1455	C₂×D₄	—	122	1	no	—
1456	C₂×D₄	—	122	1	no	—
1457	C₂×D₄	—	122	1	no	—
1458	C₂×D₄	—	122	1	no	—
1459	C₂×D₄	—	122	1	no	—
1460	C₂×D₄	—	122	1	no	—
1461	C₂×D₄	—	122	1	no	—
1462	C₂×D₄	—	122	1	no	—
1463	C₂×D₄	—	122	1	no	—
1464	C₂×D₄	—	122	1	no	—
1465	C₂×D₄	—	122	1	no	—
1466	C₂×D₄	—	122	1	no	—
1467	C₂×D₄	—	122	1	no	—
1468	C₂×D₄	—	122	1	no	—
1469	C₂×D₄	—	122	1	no	—
1470	C₂×D₄	—	122	1	no	—
1471	C₂×D₄	—	122	1	no	—
1472	C₂×D₄	—	488	2	no	—
1473	C₂×D₄	—	488	2	no	—
1474	C₂×D₄	—	488	2	no	—
1475	C₂×D₄	—	488	2	no	—
1476	C₂×D₄	—	488	2	no	—
1477	C₂×D₄	—	244	1	no	—
1478	C₂×D₄	—	244	1	no	—
1479	C₂×D₄	—	244	1	no	—
1480	C₂×D₄	—	244	1	no	—
1481	C₂×D₄	—	244	1	no	—
1482	C₂×D₄	—	244	1	no	—
1483	C₂×D₄	—	244	1	no	—
1484	C₂×D₄	—	244	1	no	—
1485	C₂×D₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1486	C₂×D₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1487	C₂×D₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1488	C₂×D₄	C₂³×D₆₁	1	1	yes	characteristic
1489	C₂×D₄	C₂³×D₆₁	1	1	yes	characteristic
1490	C₂×D₄	C₂³×D₆₁	1	1	yes	characteristic
1491	C₂²×C₄	—	2	1	no	—
1492	C₂²×C₄	—	2	1	no	—
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	8	2	no	—
1503	C₂²×C₄	—	122	1	no	—
1504	C₂²×C₄	—	122	1	no	—
1505	C₂²×C₄	—	122	1	no	—
1506	C₂²×C₄	—	122	1	no	—
1507	C₂²×C₄	—	122	1	no	—
1508	C₂²×C₄	—	122	1	no	—
1509	C₂²×C₄	—	122	1	no	—
1510	C₂²×C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1511	C₂²×C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1515	Q₁₆	—	244	1	no	—
1516	SD₁₆	—	122	2	no	—
1517	SD₁₆	—	244	1	no	—
1518	SD₁₆	—	244	1	no	—
1519	SD₁₆	—	244	1	no	—
1520	SD₁₆	—	244	1	no	—
1521	SD₁₆	—	244	1	no	—
1522	SD₁₆	—	244	1	no	—
1523	SD₁₆	—	244	1	no	—
1524	D₈	—	122	2	no	—
1525	D₈	—	122	2	no	—
1526	D₈	—	122	2	no	—
1527	D₈	—	122	2	no	—
1528	D₈	—	122	2	no	—
1529	D₈	—	244	1	no	—
1530	D₈	—	244	1	no	—
1531	D₈	—	244	1	no	—
1532	D₈	—	244	1	no	—
1533	D₈	—	244	1	no	—
1534	D₈	—	244	1	no	—
1535	D₈	—	244	1	no	—
1536	D₈	—	244	1	no	—
1537	D₈	—	244	1	no	—
1538	D₈	—	244	1	no	—
1539	M₁₆	—	244	1	no	—
1540	M₁₆	—	244	1	no	—
1541	C₂×C₈	—	61	1	no	—
1542	C₂×C₈	—	61	1	no	—
1543	C₂×C₈	—	61	1	no	—
1544	C₂×C₈	—	61	1	no	—
1545	C₂×C₈	—	61	1	no	—
1546	C₂×C₈	—	61	1	no	—
1547	C₂×C₈	—	61	1	no	—
1548	C₂×C₈	—	61	1	no	—
1549	C₂×C₈	—	244	1	no	—
1550	C₂×C₈	—	244	1	no	—
1551	C₂×C₈	—	244	1	no	—
1552	C₂×C₈	—	244	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	61	1	no	—
1565	C₄⋊C₄	—	61	1	no	—
1566	C₄⋊C₄	—	122	1	no	—
1567	C₄⋊C₄	—	122	1	no	—
1568	C₄⋊C₄	—	122	1	no	—
1569	C₄⋊C₄	—	122	1	no	—
1570	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1571	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1572	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1573	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1574	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1575	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1576	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1577	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1578	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1579	C₄⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1580	C₄⋊C₄	C₂³×D₆₁	1	1	yes	characteristic
1581	C₄⋊C₄	C₂³×D₆₁	1	1	yes	characteristic
1582	C₄⋊C₄	C₂³×D₆₁	1	1	yes	characteristic
1583	C₄⋊C₄	C₂³×D₆₁	1	1	yes	characteristic
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	122	1	no	—
1604	C₂²⋊C₄	—	122	1	no	—
1605	C₂²⋊C₄	—	122	1	no	—
1606	C₂²⋊C₄	—	122	1	no	—
1607	C₂²⋊C₄	—	122	1	no	—
1608	C₂²⋊C₄	—	122	1	no	—
1609	C₂²⋊C₄	—	122	1	no	—
1610	C₂²⋊C₄	—	122	1	no	—
1611	C₂²⋊C₄	—	122	1	no	—
1612	C₂²⋊C₄	—	122	1	no	—
1613	C₂²⋊C₄	—	122	1	no	—
1614	C₂²⋊C₄	—	122	1	no	—
1615	C₂²⋊C₄	—	122	1	no	—
1616	C₂²⋊C₄	—	122	1	no	—
1617	C₂²⋊C₄	—	122	1	no	—
1618	C₂²⋊C₄	—	122	1	no	—
1619	C₂²⋊C₄	—	122	1	no	—
1620	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1625	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1626	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1627	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1628	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1629	C₂²⋊C₄	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1630	C₄²	—	2	1	no	—
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	122	1	no	—
1634	C₄²	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1635	C₄²	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
1636	C₄²	C₂³×D₆₁	1	1	yes	characteristic
1637	C₄²	C₂³×D₆₁	1	1	yes	characteristic
1638	C₄²	C₂³×D₆₁	1	1	yes	characteristic
1639	C₄²	C₂³×D₆₁	1	1	yes	characteristic
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	4	2	no	—
1644	C₂³	—	4	2	no	—
1645	C₂³	—	4	2	no	—
1646	C₂³	—	8	1	no	—
1647	C₂³	—	8	1	no	—
1648	C₂³	—	8	1	no	—
1649	C₂³	—	122	1	no	—
1650	C₂³	—	122	1	no	—
1651	C₂³	—	122	1	no	—
1652	C₂³	—	122	1	no	—
1653	C₂³	—	122	1	no	—
1654	C₂³	—	488	1	no	—
1655	C₂³	—	488	1	no	—
1656	C₂³	—	488	1	no	—
1657	C₂³	—	488	1	no	—
1658	C₂³	—	488	1	no	—
1659	C₂³	—	488	1	no	—
1660	C₂³	—	488	1	no	—
1661	C₂³	—	488	1	no	—
1662	C₂³	—	488	1	no	—
1663	C₂³	—	488	1	no	—
1664	C₂³	—	244	2	no	—
1665	C₂³	—	244	2	no	—
1666	C₂³	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1667	C₂³	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1668	C₂³	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	4	1	no	—
1672	Q₈	—	8	1	no	—
1673	Q₈	—	122	1	no	—
1674	Q₈	—	122	1	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	2	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	4	1	no	—
1683	D₄	—	4	2	no	—
1684	D₄	—	4	2	no	—
1685	D₄	—	4	2	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	8	1	no	—
1688	D₄	—	8	1	no	—
1689	D₄	—	8	1	no	—
1690	D₄	—	8	1	no	—
1691	D₄	—	8	1	no	—
1692	D₄	—	122	1	no	—
1693	D₄	—	122	1	no	—
1694	D₄	—	122	1	no	—
1695	D₄	—	122	1	no	—
1696	D₄	—	122	1	no	—
1697	D₄	—	122	1	no	—
1698	D₄	—	122	1	no	—
1699	D₄	—	122	1	no	—
1700	D₄	—	122	1	no	—
1701	D₄	—	122	1	no	—
1702	D₄	—	488	1	no	—
1703	D₄	—	488	1	no	—
1704	D₄	—	488	1	no	—
1705	D₄	—	488	1	no	—
1706	D₄	—	488	1	no	—
1707	D₄	—	488	1	no	—
1708	D₄	—	488	1	no	—
1709	D₄	—	488	1	no	—
1710	D₄	—	488	1	no	—
1711	D₄	—	488	1	no	—
1712	D₄	—	488	1	no	—
1713	D₄	—	488	1	no	—
1714	D₄	—	488	1	no	—
1715	D₄	—	488	1	no	—
1716	D₄	—	488	1	no	—
1717	D₄	—	488	1	no	—
1718	D₄	—	488	1	no	—
1719	D₄	—	488	1	no	—
1720	D₄	—	488	1	no	—
1721	D₄	—	488	1	no	—
1722	D₄	—	244	2	no	—
1723	D₄	—	244	2	no	—
1724	D₄	—	244	2	no	—
1725	D₄	#14519823	1	2	yes	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	4	1	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	4	2	no	—
1741	C₂×C₄	—	8	1	no	—
1742	C₂×C₄	—	8	1	no	—
1743	C₂×C₄	—	8	1	no	—
1744	C₂×C₄	—	8	1	no	—
1745	C₂×C₄	—	8	1	no	—
1746	C₂×C₄	—	8	1	no	—
1747	C₂×C₄	—	8	1	no	—
1748	C₂×C₄	—	8	1	no	—
1749	C₂×C₄	—	8	1	no	—
1750	C₂×C₄	—	122	1	no	—
1751	C₂×C₄	—	122	1	no	—
1752	C₂×C₄	—	122	1	no	—
1753	C₂×C₄	—	488	1	no	—
1754	C₂×C₄	—	488	1	no	—
1755	C₂×C₄	—	488	1	no	—
1756	C₂×C₄	—	488	1	no	—
1757	C₂×C₄	—	488	1	no	—
1758	C₂×C₄	—	488	1	no	—
1759	C₂×C₄	—	244	2	no	—
1760	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1761	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1762	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1763	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1764	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1765	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1766	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1767	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1768	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1769	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1770	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
1771	C₂×C₄	C₂⁴×D₆₁	1	1	yes	characteristic
1772	C₈	—	122	1	no	—
1773	C₈	—	122	1	no	—
1774	C₈	—	122	1	no	—
1775	C₈	—	122	1	no	—
1776	C₈	—	122	1	no	—
1777	C₈	—	122	1	no	—
1778	C₈	—	122	1	no	—
1779	C₈	—	122	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	2	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	8	4	no	—
1798	C₂²	—	16	2	no	—
1799	C₂²	—	976	2	no	—
1800	C₂²	—	976	2	no	—
1801	C₂²	—	976	2	no	—
1802	C₂²	—	976	2	no	—
1803	C₂²	—	244	1	no	—
1804	C₂²	—	244	1	no	—
1805	C₂²	—	244	1	no	—
1806	C₂²	—	244	1	no	—
1807	C₂²	—	244	1	no	—
1808	C₂²	—	244	1	no	—
1809	C₂²	—	244	1	no	—
1810	C₂²	—	244	1	no	—
1811	C₂²	—	244	1	no	—
1812	C₂²	—	244	1	no	—
1813	C₂²	—	244	1	no	—
1814	C₂²	—	244	1	no	—
1815	C₂²	—	244	1	no	—
1816	C₂²	—	244	1	no	—
1817	C₂²	—	244	1	no	—
1818	C₂²	#16840565	1	2	yes	—
1819	C₂²	C₂³×C₂²⋊D₆₁	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	2	1	no	—
1826	C₄	—	2	1	no	—
1827	C₄	—	2	1	no	—
1828	C₄	—	2	1	no	—
1829	C₄	—	2	1	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	4	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	244	1	no	—
1837	C₄	—	244	1	no	—
1838	C₄	—	244	1	no	—
1839	C₄	C₂×#14519823	1	1	yes	characteristic
1840	C₄	#16840598	1	1	yes	characteristic
1841	C₂	—	2	2	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	4	1	no	—
1844	C₂	—	4	2	no	—
1845	C₂	—	8	1	no	—
1846	C₂	—	8	1	no	—
1847	C₂	—	488	1	no	—
1848	C₂	—	488	1	no	—
1849	C₂	—	488	1	no	—
1850	C₂	—	488	1	no	—
1851	C₂	—	488	1	no	—
1852	C₂	#21459488	1	1	yes	characteristic
1853	C₂	C₂×#16840565	1	1	yes	characteristic
1854	C₂	#21460598	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₆₁
commutator, cosocle	C₂×C₄×C₆₁	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₆₁
Fitting	C₆₁×#3513	C₂
socle	C₂²×C₆₁	C₂³×D₄
hypercenter	#3513	D₆₁
hypocenter	C₆₁	#62007
LCS	G ▷ C₂×C₄×C₆₁ ▷ C₂×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3513

Complements

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

N	H ≅ G/N	type
1. #21460149	C₂	semidirect
2. #21458903	C₂	semidirect
3. #21458857	C₂	semidirect
4. #21458572	C₂	semidirect
5. #21458526	C₂	semidirect
6. #21457954	C₂	semidirect
7. #21457834	C₂	semidirect
8. #21457819	C₂	semidirect
9. #21457774	C₂	semidirect
10. #21457648	C₂	semidirect
11. #21457626	C₂	semidirect
12. #21457500	C₂	semidirect
13. D₄×#11758199	C₂	semidirect
14. #21457355	C₂	semidirect
15. #21457300	C₂	semidirect
16. #21457300	C₂	semidirect
17. #21457295	C₂	semidirect
18. #21457254	C₂	semidirect
19. #21457230	C₂	semidirect
20. #21457166	C₂	semidirect
21. #21456907	C₂	semidirect
22. #21456863	C₂	semidirect
23. #21456834	C₂	semidirect
24. #21456062	C₂	semidirect
25. #21456018	C₂	semidirect
26. #21455957	C₂	semidirect
27. #21455358	C₂	semidirect
28. #21455322	C₂	semidirect
29. C₂×#16839957	C₂	semidirect
30. #21454958	C₂	semidirect
31. C₆₁×#3513	C₂	semidirect
32. C₂×#14519803	C₂²	semidirect
33. C₂×#14519802	C₂²	semidirect
34. C₂×#14519797	C₂²	semidirect
35. C₂²×#11758199	C₂²	semidirect
36. C₂²×#11758199	C₂²	semidirect
37. C₂²×#11758199	C₂²	semidirect
40. #16840497	C₂²	semidirect
41. #16840434	C₂²	semidirect
42. #16840433	C₂²	semidirect
44. #16840408	C₂²	semidirect
47. D₄×D₂₄₄	C₂²	semidirect
48. D₄×D₂₄₄	C₂²	semidirect
51. #16840367	C₂²	semidirect
52. #16840367	C₂²	semidirect
53. #16840331	C₂²	semidirect
54. #16840331	C₂²	semidirect
58. C₂×#14519774	C₂²	semidirect
59. #16840296	C₂²	semidirect
60. #16840152	C₂²	semidirect
61. #16840152	C₂²	semidirect
62. #16840152	C₂²	semidirect
63. #16840149	C₂²	semidirect
64. #16840144	C₂²	semidirect
65. #16840138	C₂²	semidirect
66. #16840128	C₂²	semidirect
67. #16840128	C₂²	semidirect
68. #16840128	C₂²	semidirect
69. #16840124	C₂²	semidirect
70. #16840119	C₂²	semidirect
71. #16840110	C₂²	semidirect
72. #16840092	C₂²	semidirect
73. #16840086	C₂²	semidirect
74. #16840086	C₂²	semidirect
75. #16840080	C₂²	semidirect
76. #16840075	C₂²	semidirect
77. #16840075	C₂²	semidirect
78. #16840069	C₂²	semidirect
79. #16840066	C₂²	semidirect
80. #16840062	C₂²	semidirect
81. #16840062	C₂²	semidirect
82. #16840062	C₂²	semidirect
83. #16840059	C₂²	semidirect
84. #16840059	C₂²	semidirect
85. #16840059	C₂²	semidirect
86. #16840049	C₂²	semidirect
87. #16840039	C₂²	semidirect
88. #16840013	C₂²	semidirect
89. #16840013	C₂²	semidirect
90. #16840013	C₂²	semidirect
91. #16840010	C₂²	semidirect
92. #16840001	C₂²	semidirect
94. #16839996	C₂²	semidirect
95. #16839996	C₂²	semidirect
96. #16839996	C₂²	semidirect
97. #16839993	C₂²	semidirect
98. #16839993	C₂²	semidirect
99. #16839989	C₂²	semidirect
100. #16839984	C₂²	semidirect
101. #16839984	C₂²	semidirect
102. #16839981	C₂²	semidirect
103. #16839977	C₂²	semidirect
104. #16839977	C₂²	semidirect
105. #16839977	C₂²	semidirect
106. #16839977	C₂²	semidirect
107. #16839977	C₂²	semidirect
108. #16839977	C₂²	semidirect
109. #16839974	C₂²	semidirect
110. #16839974	C₂²	semidirect
111. #16839974	C₂²	semidirect
112. #16839962	C₂²	semidirect
113. #16839962	C₂²	semidirect
114. #16839962	C₂²	semidirect
116. #16839957	C₂²	semidirect
117. #16839957	C₂²	semidirect
118. #16839957	C₂²	semidirect
119. #16839957	C₂²	semidirect
120. #16839957	C₂²	semidirect
121. #16839957	C₂²	semidirect
122. #16839957	C₂²	semidirect
123. #16839957	C₂²	semidirect
124. #16839957	C₂²	semidirect
125. #16839957	C₂²	semidirect
126. #16839957	C₂²	semidirect
127. #16839957	C₂²	semidirect
128. #16839954	C₂²	semidirect
129. #16839954	C₂²	semidirect
130. #16839922	C₂²	semidirect
131. #16839913	C₂²	semidirect
132. #16839912	C₂²	semidirect
133. #16839912	C₂²	semidirect
134. #16839912	C₂²	semidirect
135. #16839907	C₂²	semidirect
136. #16839907	C₂²	semidirect
137. #16839905	C₂²	semidirect
138. #16839905	C₂²	semidirect
139. #16839905	C₂²	semidirect
141. #16839896	C₂²	semidirect
142. #16839896	C₂²	semidirect
143. #16839895	C₂²	semidirect
144. #16839895	C₂²	semidirect
145. #16839895	C₂²	semidirect
146. #16839895	C₂²	semidirect
147. #16839895	C₂²	semidirect
148. #16839893	C₂²	semidirect
149. #16839893	C₂²	semidirect
150. #16839872	C₂²	semidirect
151. #16839872	C₂²	semidirect
152. #16839872	C₂²	semidirect
153. #16839872	C₂²	semidirect
154. #16839872	C₂²	semidirect
155. #16839862	C₂²	semidirect
156. #16839862	C₂²	semidirect
157. #16839860	C₂²	semidirect
158. C₄×#11758201	C₂²	semidirect
159. C₄×#11758199	C₂²	semidirect
160. C₄×#11758199	C₂²	semidirect
161. C₄×#11758199	C₂²	semidirect
162. #16839834	C₂²	semidirect
163. #16839834	C₂²	semidirect
164. #16839834	C₂²	semidirect
165. #16839834	C₂²	semidirect
166. D₄×#92418	C₂²	semidirect
167. D₄×#92418	C₂²	semidirect
168. #16839823	C₂²	semidirect
169. #16839823	C₂²	semidirect
170. #16839819	C₂²	semidirect
171. #16839789	C₂²	semidirect
172. #16839789	C₂²	semidirect
173. C₂×C₄⋊#92418	C₂²	semidirect
174. #16839766	C₂²	semidirect
175. #16839761	C₂²	semidirect
176. #16839756	C₂²	semidirect
177. C₂×#14519697	C₂²	semidirect
178. C₂×#14519697	C₂²	semidirect
179. C₂×#14519697	C₂²	semidirect
180. C₆₁×#559	C₂²	semidirect
181. C₆₁×#554	C₂²	semidirect
183. C₆₁×#553	C₂²	semidirect
184. C₆₁×#552	C₂²	semidirect
187. C₆₁×#547	C₂²	semidirect
189. C₆₁×#546	C₂²	semidirect
190. C₆₁×#546	C₂²	semidirect
191. D₄²×C₆₁	C₂²	semidirect
192. C₆₁×#542	C₂²	semidirect
193. C₆₁×#540	C₂²	semidirect
197. C₆₁×#529	C₂²	semidirect
200. C₆₁×#520	C₂²	semidirect
201. C₆₁×#518	C₂²	semidirect
202. C₂×C₄×D₄×C₆₁	C₂²	semidirect
915. #3513	D₆₁	semidirect
968. #559	C₂×D₆₁	semidirect
969. #554	C₂×D₆₁	semidirect
971. #553	C₂×D₆₁	semidirect
972. #552	C₂×D₆₁	semidirect
977. #547	C₂×D₆₁	semidirect
982. #546	C₂×D₆₁	semidirect
983. #546	C₂×D₆₁	semidirect
988. D₄²	C₂×D₆₁	semidirect
989. #542	C₂×D₆₁	semidirect
993. #540	C₂×D₆₁	semidirect
1004. #529	C₂×D₆₁	semidirect
1007. #520	C₂×D₆₁	semidirect
1008. #518	C₂×D₆₁	semidirect
1009. C₂×C₄×D₄	C₂×D₆₁	semidirect
1130. C₆₁	#62007	semidirect

Maximal subgroups

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

subgroup	index
#21460149	2
#21458903	2
#21458857	2
#21458572	2
#21458526	2
#21457954	2
#21457834	2
#21457819	2
#21457774	2
#21457648	2
#21457626	2
#21457500	2
D₄×#11758199	2
#21457355	2
#21457300	2
#21457295	2
#21457254	2
#21457230	2
#21457166	2
#21456907	2
#21456863	2
#21456834	2
#21456062	2
#21456018	2
#21455957	2
#21455358	2
#21455322	2
C₂×#16839957	2
#21454958	2
C₆₁×#3513	2
#62007	61