Subgroups — C₆₁×#62010 #29565443

Order 15616.

1768 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3516	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3316	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3312	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3301	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3299	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×Q₁₆×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3285	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3269	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3261	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3223	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3218	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3127	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3117	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#3044	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₆₁×#462	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic
33	C₂×#137×C₆₁	C₂²	1	1	yes	characteristic
34	C₂×#135×C₆₁	C₂²	1	1	yes	characteristic
35	C₂²×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
36	C₂²×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
37	C₂²×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
38	C₆₁×#563	—	2	1	no	—
39	C₆₁×#563	—	2	1	no	—
40	C₆₁×#557	C₂²	1	1	yes	characteristic
41	C₆₁×#557	C₂²	1	1	yes	characteristic
42	C₆₁×#556	—	2	1	no	—
43	C₆₁×#556	C₂²	1	1	yes	characteristic
44	C₆₁×#556	C₂²	1	1	yes	characteristic
45	C₆₁×#554	—	2	1	no	—
46	C₆₁×#554	—	2	1	no	—
47	C₆₁×#554	C₂²	1	1	yes	characteristic
48	C₆₁×#553	—	2	1	no	—
49	C₆₁×#553	—	2	1	no	—
50	C₆₁×#553	C₂²	1	1	yes	characteristic
51	C₆₁×#552	—	2	1	no	—
52	C₆₁×#552	C₂²	1	1	yes	characteristic
53	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
56	D₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
57	C₆₁×#548	C₂²	1	1	yes	characteristic
58	C₆₁×#548	C₂²	1	1	yes	characteristic
59	C₆₁×#548	C₂²	1	1	yes	characteristic
60	C₆₁×#548	C₂²	1	1	yes	characteristic
61	C₆₁×#547	C₂²	1	1	yes	characteristic
62	C₆₁×#544	—	2	1	no	—
63	C₆₁×#542	—	2	1	no	—
64	C₆₁×#542	—	2	1	no	—
65	C₆₁×#542	C₂²	1	1	yes	characteristic
66	C₆₁×#541	—	2	1	no	—
67	C₆₁×#541	C₂²	1	1	yes	characteristic
68	C₆₁×#541	C₂²	1	1	yes	characteristic
69	C₆₁×#541	C₂²	1	1	yes	characteristic
70	C₆₁×#539	—	2	1	no	—
71	C₆₁×#539	—	2	1	no	—
72	C₆₁×#536	C₂²	1	1	yes	characteristic
73	C₆₁×#536	C₂²	1	1	yes	characteristic
74	C₂×C₄⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
75	C₆₁×#529	—	2	1	no	—
76	C₆₁×#529	—	2	1	no	—
77	C₆₁×#529	C₂²	1	1	yes	characteristic
78	C₆₁×#529	C₂²	1	1	yes	characteristic
79	C₆₁×#529	C₂²	1	1	yes	characteristic
80	C₆₁×#520	C₂²	1	1	yes	characteristic
81	C₆₁×#519	C₂²	1	1	yes	characteristic
82	C₂×C₄×Q₈×C₆₁	C₂²	1	1	yes	characteristic
83	C₆₁×#497	C₂²	1	1	yes	characteristic
84	C₆₁×#497	C₂²	1	1	yes	characteristic
85	C₆₁×#497	C₂²	1	1	yes	characteristic
86	C₆₁×#497	C₂²	1	1	yes	characteristic
87	C₆₁×#495	C₂²	1	1	yes	characteristic
88	C₆₁×#494	C₂²	1	1	yes	characteristic
89	C₆₁×#491	C₂²	1	1	yes	characteristic
90	C₆₁×#491	C₂²	1	1	yes	characteristic
91	C₆₁×#491	C₂²	1	1	yes	characteristic
92	C₆₁×#489	C₂²	1	1	yes	characteristic
93	C₆₁×#488	C₂²	1	1	yes	characteristic
94	C₆₁×#487	C₂²	1	1	yes	characteristic
95	C₆₁×#485	C₂²	1	1	yes	characteristic
96	C₆₁×#485	C₂²	1	1	yes	characteristic
97	C₆₁×#484	C₂²	1	1	yes	characteristic
98	C₆₁×#484	C₂²	1	1	yes	characteristic
99	C₆₁×#483	C₂²	1	1	yes	characteristic
100	C₆₁×#481	C₂²	1	1	yes	characteristic
101	C₆₁×#479	C₂²	1	1	yes	characteristic
102	C₆₁×#479	C₂²	1	1	yes	characteristic
103	C₆₁×#479	C₂²	1	1	yes	characteristic
104	C₆₁×#479	C₂²	1	1	yes	characteristic
105	C₆₁×#479	C₂²	1	1	yes	characteristic
106	C₆₁×#479	C₂²	1	1	yes	characteristic
107	C₆₁×#478	C₂²	1	1	yes	characteristic
108	C₆₁×#478	C₂²	1	1	yes	characteristic
109	C₆₁×#477	C₂²	1	1	yes	characteristic
110	C₆₁×#475	C₂²	1	1	yes	characteristic
111	C₆₁×#470	C₂²	1	1	yes	characteristic
112	C₆₁×#470	C₂²	1	1	yes	characteristic
113	C₆₁×#470	C₂²	1	1	yes	characteristic
114	C₆₁×#468	C₂²	1	1	yes	characteristic
115	C₆₁×#467	C₂²	1	1	yes	characteristic
116	C₆₁×#467	C₂²	1	1	yes	characteristic
117	C₆₁×#467	C₂²	1	1	yes	characteristic
118	C₆₁×#467	C₂²	1	1	yes	characteristic
119	C₆₁×#466	C₂²	1	1	yes	characteristic
120	C₆₁×#465	C₂²	1	1	yes	characteristic
121	C₆₁×#465	C₂²	1	1	yes	characteristic
122	C₆₁×#465	C₂²	1	1	yes	characteristic
123	C₆₁×#464	C₂²	1	1	yes	characteristic
124	C₆₁×#464	C₂²	1	1	yes	characteristic
125	C₆₁×#464	C₂²	1	1	yes	characteristic
126	C₆₁×#464	C₂²	1	1	yes	characteristic
127	C₆₁×#464	C₂²	1	1	yes	characteristic
128	C₆₁×#464	C₂²	1	1	yes	characteristic
129	C₆₁×#464	C₂²	1	1	yes	characteristic
130	C₆₁×#464	C₂²	1	1	yes	characteristic
131	C₆₁×#464	C₂²	1	1	yes	characteristic
132	C₆₁×#463	C₂²	1	1	yes	characteristic
133	C₆₁×#463	C₂²	1	1	yes	characteristic
134	C₆₁×#463	C₂²	1	1	yes	characteristic
135	C₆₁×#462	C₂²	1	1	yes	characteristic
136	C₆₁×#462	C₂²	1	1	yes	characteristic
137	C₆₁×#462	C₂²	1	1	yes	characteristic
138	C₆₁×#462	C₂²	1	1	yes	characteristic
139	C₆₁×#462	C₂²	1	1	yes	characteristic
140	C₆₁×#462	C₂²	1	1	yes	characteristic
141	C₆₁×#462	C₂²	1	1	yes	characteristic
142	C₆₁×#462	C₂²	1	1	yes	characteristic
143	C₆₁×#462	C₂²	1	1	yes	characteristic
144	C₆₁×#462	C₂²	1	1	yes	characteristic
145	C₆₁×#462	C₂²	1	1	yes	characteristic
146	C₆₁×#462	C₂²	1	1	yes	characteristic
147	C₆₁×#462	C₂²	1	1	yes	characteristic
148	C₆₁×#462	C₂²	1	1	yes	characteristic
149	C₆₁×#462	C₂²	1	1	yes	characteristic
150	C₆₁×#461	C₂²	1	1	yes	characteristic
151	C₆₁×#461	C₂²	1	1	yes	characteristic
152	C₆₁×#461	C₂²	1	1	yes	characteristic
153	C₆₁×#452	C₂²	1	1	yes	characteristic
154	C₆₁×#452	C₂²	1	1	yes	characteristic
155	C₆₁×#452	C₂²	1	1	yes	characteristic
156	C₆₁×#452	C₂²	1	1	yes	characteristic
157	C₆₁×#452	C₂²	1	1	yes	characteristic
158	C₆₁×#451	C₂²	1	1	yes	characteristic
159	C₆₁×#451	C₂²	1	1	yes	characteristic
160	C₆₁×#451	C₂²	1	1	yes	characteristic
161	C₆₁×#451	C₂²	1	1	yes	characteristic
162	C₆₁×#451	C₂²	1	1	yes	characteristic
163	C₆₁×#451	C₂²	1	1	yes	characteristic
164	C₆₁×#451	C₂²	1	1	yes	characteristic
165	C₆₁×#451	C₂²	1	1	yes	characteristic
166	C₆₁×#449	C₂²	1	1	yes	characteristic
167	C₆₁×#448	C₂²	1	1	yes	characteristic
168	C₆₁×#448	C₂²	1	1	yes	characteristic
169	C₆₁×#448	C₂²	1	1	yes	characteristic
170	C₆₁×#448	C₂²	1	1	yes	characteristic
171	C₆₁×#446	C₂²	1	1	yes	characteristic
172	C₆₁×#446	C₂²	1	1	yes	characteristic
173	C₆₁×#441	C₂²	1	1	yes	characteristic
174	C₆₁×#441	C₂²	1	1	yes	characteristic
175	C₆₁×#441	C₂²	1	1	yes	characteristic
176	C₆₁×#441	C₂²	1	1	yes	characteristic
177	C₆₁×#441	C₂²	1	1	yes	characteristic
178	C₆₁×#440	C₂²	1	1	yes	characteristic
179	C₆₁×#440	C₂²	1	1	yes	characteristic
180	C₆₁×#440	C₂²	1	1	yes	characteristic
181	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
182	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
183	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic
184	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
185	C₆₁×#435	C₂²	1	1	yes	characteristic
186	C₆₁×#435	C₂²	1	1	yes	characteristic
187	C₆₁×#435	C₂²	1	1	yes	characteristic
188	C₆₁×#435	C₂²	1	1	yes	characteristic
189	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
190	C₈×D₄×C₆₁	C₂²	1	1	yes	characteristic
191	C₆₁×#433	C₂²	1	1	yes	characteristic
192	C₆₁×#433	C₂²	1	1	yes	characteristic
193	C₆₁×#432	C₂²	1	1	yes	characteristic
194	C₆₁×#424	C₂²	1	1	yes	characteristic
195	C₆₁×#424	C₂²	1	1	yes	characteristic
196	C₂×C₄⋊C₈×C₆₁	C₂²	1	1	yes	characteristic
197	C₆₁×#419	C₂²	1	1	yes	characteristic
198	C₆₁×#417	C₂²	1	1	yes	characteristic
199	C₆₁×#416	C₂²	1	1	yes	characteristic
200	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
201	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
202	C₂×#103×C₆₁	C₂²	1	1	yes	characteristic
203	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
204	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
205	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
212	#137×C₆₁	—	4	2	no	—
213	#137×C₆₁	—	4	2	no	—
214	#135×C₆₁	—	4	2	no	—
215	C₂×Q₁₆×C₆₁	—	4	2	no	—
216	C₂×Q₁₆×C₆₁	—	4	2	no	—
217	C₂×Q₁₆×C₆₁	—	4	2	no	—
218	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
225	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
226	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
227	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
228	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
229	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
230	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
231	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
232	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
239	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
240	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
242	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
243	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
244	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
245	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
248	C₄⋊Q₈×C₆₁	—	2	1	no	—
249	C₄⋊Q₈×C₆₁	—	2	1	no	—
250	C₄⋊Q₈×C₆₁	—	2	1	no	—
251	C₄⋊Q₈×C₆₁	—	2	1	no	—
252	C₄⋊Q₈×C₆₁	—	2	1	no	—
253	C₄⋊Q₈×C₆₁	—	2	1	no	—
254	C₄⋊Q₈×C₆₁	—	2	1	no	—
255	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
256	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
257	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
258	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
259	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
260	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
261	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
262	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
263	#126×C₆₁	—	2	1	no	—
264	#126×C₆₁	—	2	1	no	—
265	#126×C₆₁	—	2	1	no	—
266	#126×C₆₁	—	2	1	no	—
267	#126×C₆₁	—	2	1	no	—
268	#126×C₆₁	—	2	1	no	—
269	#126×C₆₁	—	2	1	no	—
270	#126×C₆₁	—	2	1	no	—
271	#126×C₆₁	—	2	1	no	—
272	#126×C₆₁	—	2	1	no	—
273	#126×C₆₁	—	2	1	no	—
274	#126×C₆₁	—	2	1	no	—
275	#126×C₆₁	—	2	1	no	—
276	#126×C₆₁	—	2	1	no	—
277	#126×C₆₁	—	2	1	no	—
278	#126×C₆₁	D₄	1	1	yes	characteristic
279	#126×C₆₁	D₄	1	1	yes	characteristic
280	#125×C₆₁	—	2	1	no	—
281	#125×C₆₁	—	2	1	no	—
282	#125×C₆₁	—	2	1	no	—
283	#125×C₆₁	—	2	1	no	—
284	#125×C₆₁	—	2	1	no	—
285	#125×C₆₁	—	2	1	no	—
286	#125×C₆₁	—	2	1	no	—
287	#125×C₆₁	—	2	1	no	—
288	#125×C₆₁	—	2	1	no	—
289	#125×C₆₁	—	2	1	no	—
290	#125×C₆₁	—	2	1	no	—
291	#125×C₆₁	—	2	1	no	—
292	#125×C₆₁	—	2	1	no	—
293	#125×C₆₁	D₄	1	1	yes	characteristic
294	#125×C₆₁	C₂³	1	1	yes	characteristic
295	#125×C₆₁	C₂³	1	1	yes	characteristic
296	#125×C₆₁	C₂³	1	1	yes	characteristic
297	#124×C₆₁	—	2	1	no	—
298	#124×C₆₁	—	2	1	no	—
299	#124×C₆₁	—	2	1	no	—
300	#124×C₆₁	—	2	1	no	—
301	#124×C₆₁	—	2	1	no	—
302	#124×C₆₁	D₄	1	1	yes	characteristic
303	#124×C₆₁	C₂³	1	1	yes	characteristic
304	#124×C₆₁	C₂³	1	1	yes	characteristic
305	#124×C₆₁	C₂³	1	1	yes	characteristic
306	#124×C₆₁	C₂³	1	1	yes	characteristic
307	#124×C₆₁	C₂³	1	1	yes	characteristic
308	#123×C₆₁	—	2	1	no	—
309	#123×C₆₁	—	2	1	no	—
310	#123×C₆₁	—	2	1	no	—
311	#123×C₆₁	—	2	1	no	—
312	#123×C₆₁	—	2	1	no	—
313	#123×C₆₁	—	2	1	no	—
314	#123×C₆₁	—	2	1	no	—
315	#123×C₆₁	—	2	1	no	—
316	#123×C₆₁	—	2	1	no	—
317	#123×C₆₁	—	2	1	no	—
318	#123×C₆₁	—	2	1	no	—
319	#123×C₆₁	D₄	1	1	yes	characteristic
320	#123×C₆₁	D₄	1	1	yes	characteristic
321	C₂²⋊Q₈×C₆₁	—	2	1	no	—
322	C₂²⋊Q₈×C₆₁	—	2	1	no	—
323	C₂²⋊Q₈×C₆₁	—	2	1	no	—
324	C₂²⋊Q₈×C₆₁	—	2	1	no	—
325	C₂²⋊Q₈×C₆₁	—	2	1	no	—
326	C₂²⋊Q₈×C₆₁	—	2	1	no	—
327	C₂²⋊Q₈×C₆₁	—	2	1	no	—
328	C₂²⋊Q₈×C₆₁	—	2	1	no	—
329	C₂²⋊Q₈×C₆₁	—	2	1	no	—
330	C₂²⋊Q₈×C₆₁	—	2	1	no	—
331	C₂²⋊Q₈×C₆₁	—	2	1	no	—
332	C₂²⋊Q₈×C₆₁	—	2	1	no	—
333	C₂²⋊Q₈×C₆₁	—	2	1	no	—
334	C₂²⋊Q₈×C₆₁	—	2	1	no	—
335	C₂²⋊Q₈×C₆₁	—	2	1	no	—
336	C₂²⋊Q₈×C₆₁	—	2	1	no	—
337	C₂²⋊Q₈×C₆₁	—	2	1	no	—
338	C₂²⋊Q₈×C₆₁	—	2	1	no	—
339	C₂²⋊Q₈×C₆₁	—	2	1	no	—
340	C₂²⋊Q₈×C₆₁	—	2	1	no	—
341	C₂²⋊Q₈×C₆₁	—	2	1	no	—
342	C₂²⋊Q₈×C₆₁	D₄	1	1	yes	characteristic
343	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
344	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
345	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
346	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
347	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
348	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
349	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
350	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
351	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
352	#121×C₆₁	—	2	1	no	—
353	#121×C₆₁	—	2	1	no	—
354	#121×C₆₁	—	2	1	no	—
355	#121×C₆₁	—	2	1	no	—
356	#121×C₆₁	—	2	1	no	—
357	#121×C₆₁	—	2	1	no	—
358	#121×C₆₁	D₄	1	1	yes	characteristic
359	#121×C₆₁	C₂³	1	1	yes	characteristic
360	#121×C₆₁	C₂³	1	1	yes	characteristic
361	#121×C₆₁	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₆₁	—	2	1	no	—
363	C₄×Q₈×C₆₁	—	2	1	no	—
364	C₄×Q₈×C₆₁	—	2	1	no	—
365	C₄×Q₈×C₆₁	—	2	1	no	—
366	C₄×Q₈×C₆₁	—	2	1	no	—
367	C₄×Q₈×C₆₁	—	2	1	no	—
368	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
375	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
376	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
377	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
378	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
379	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
380	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
381	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₆₁	—	2	1	no	—
383	C₄×D₄×C₆₁	—	2	1	no	—
384	C₄×D₄×C₆₁	—	2	1	no	—
385	C₄×D₄×C₆₁	—	2	1	no	—
386	C₄×D₄×C₆₁	—	2	1	no	—
387	C₄×D₄×C₆₁	—	2	1	no	—
388	C₄×D₄×C₆₁	—	2	1	no	—
389	C₄×D₄×C₆₁	—	2	1	no	—
390	C₄×D₄×C₆₁	—	2	1	no	—
391	C₄×D₄×C₆₁	—	2	1	no	—
392	C₄×D₄×C₆₁	—	2	1	no	—
393	C₄×D₄×C₆₁	—	2	1	no	—
394	C₄×D₄×C₆₁	—	2	1	no	—
395	C₄×D₄×C₆₁	—	2	1	no	—
396	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
402	#117×C₆₁	—	2	1	no	—
403	#117×C₆₁	—	2	1	no	—
404	#117×C₆₁	—	2	1	no	—
405	#117×C₆₁	—	2	1	no	—
406	#117×C₆₁	—	2	1	no	—
407	#117×C₆₁	—	2	1	no	—
408	#117×C₆₁	—	2	1	no	—
409	#117×C₆₁	—	2	1	no	—
410	#117×C₆₁	C₂³	1	1	yes	characteristic
411	#117×C₆₁	C₂³	1	1	yes	characteristic
412	#117×C₆₁	C₂³	1	1	yes	characteristic
413	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
414	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
415	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
416	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
417	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
418	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
419	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
420	C₂×C₄²×C₆₁	—	2	1	no	—
421	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
422	#107×C₆₁	C₂³	1	1	yes	characteristic
423	#107×C₆₁	C₂³	1	1	yes	characteristic
424	#107×C₆₁	C₂³	1	1	yes	characteristic
425	#107×C₆₁	C₂³	1	1	yes	characteristic
426	#106×C₆₁	C₂³	1	1	yes	characteristic
427	#106×C₆₁	C₂³	1	1	yes	characteristic
428	#106×C₆₁	C₂³	1	1	yes	characteristic
429	#106×C₆₁	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
433	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
434	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
435	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
436	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
437	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
440	#103×C₆₁	C₂³	1	1	yes	characteristic
441	#103×C₆₁	C₂³	1	1	yes	characteristic
442	#103×C₆₁	C₂³	1	1	yes	characteristic
443	#103×C₆₁	C₂³	1	1	yes	characteristic
444	#103×C₆₁	C₂³	1	1	yes	characteristic
445	#103×C₆₁	C₂³	1	1	yes	characteristic
446	#103×C₆₁	C₂³	1	1	yes	characteristic
447	#103×C₆₁	C₂³	1	1	yes	characteristic
448	#103×C₆₁	C₂³	1	1	yes	characteristic
449	#103×C₆₁	C₂³	1	1	yes	characteristic
450	#103×C₆₁	C₂³	1	1	yes	characteristic
451	#103×C₆₁	C₂³	1	1	yes	characteristic
452	#103×C₆₁	C₂³	1	1	yes	characteristic
453	#103×C₆₁	C₂³	1	1	yes	characteristic
454	#103×C₆₁	C₂³	1	1	yes	characteristic
455	#103×C₆₁	C₂³	1	1	yes	characteristic
456	#103×C₆₁	C₂³	1	1	yes	characteristic
457	#103×C₆₁	C₂³	1	1	yes	characteristic
458	#103×C₆₁	C₂³	1	1	yes	characteristic
459	#103×C₆₁	C₂³	1	1	yes	characteristic
460	#103×C₆₁	C₂³	1	1	yes	characteristic
461	#103×C₆₁	C₂³	1	1	yes	characteristic
462	#103×C₆₁	C₂³	1	1	yes	characteristic
463	#103×C₆₁	C₂³	1	1	yes	characteristic
464	#103×C₆₁	C₂³	1	1	yes	characteristic
465	#103×C₆₁	C₂³	1	1	yes	characteristic
466	#102×C₆₁	C₂³	1	1	yes	characteristic
467	#102×C₆₁	C₂³	1	1	yes	characteristic
468	#102×C₆₁	C₂³	1	1	yes	characteristic
469	#102×C₆₁	C₂³	1	1	yes	characteristic
470	#102×C₆₁	C₂³	1	1	yes	characteristic
471	#102×C₆₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
478	#97×C₆₁	C₂³	1	1	yes	characteristic
479	#97×C₆₁	C₂³	1	1	yes	characteristic
480	#97×C₆₁	C₂³	1	1	yes	characteristic
481	#97×C₆₁	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
484	#41×C₆₁	—	2	2	no	—
485	#41×C₆₁	—	4	1	no	—
486	#41×C₆₁	—	4	1	no	—
487	#41×C₆₁	—	4	1	no	—
488	#41×C₆₁	—	4	1	no	—
489	#41×C₆₁	—	4	1	no	—
490	C₂×Q₈×C₆₁	—	2	1	no	—
491	C₂×Q₈×C₆₁	—	2	1	no	—
492	C₂×Q₈×C₆₁	—	2	1	no	—
493	C₂×Q₈×C₆₁	—	2	1	no	—
494	C₂×Q₈×C₆₁	—	2	1	no	—
495	C₂×Q₈×C₆₁	—	2	1	no	—
496	C₂×Q₈×C₆₁	—	2	1	no	—
497	C₂×Q₈×C₆₁	—	2	2	no	—
498	C₂×Q₈×C₆₁	—	2	2	no	—
499	C₂×Q₈×C₆₁	—	4	1	no	—
500	C₂×Q₈×C₆₁	—	4	1	no	—
501	C₂×Q₈×C₆₁	—	4	1	no	—
502	C₂×Q₈×C₆₁	—	4	1	no	—
503	C₂×Q₈×C₆₁	—	4	1	no	—
504	C₂×Q₈×C₆₁	—	4	1	no	—
505	C₂×Q₈×C₆₁	—	4	1	no	—
506	C₂×Q₈×C₆₁	—	4	1	no	—
507	C₂×Q₈×C₆₁	—	4	1	no	—
508	C₂×Q₈×C₆₁	—	4	1	no	—
509	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
510	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
513	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
514	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
515	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
516	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
517	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₆₁	—	2	1	no	—
519	C₂×D₄×C₆₁	—	2	1	no	—
520	C₂×D₄×C₆₁	—	2	1	no	—
521	C₂×D₄×C₆₁	—	2	1	no	—
522	C₂×D₄×C₆₁	—	2	1	no	—
523	C₂×D₄×C₆₁	—	2	1	no	—
524	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₆₁	—	2	1	no	—
530	C₂²×C₄×C₆₁	—	2	1	no	—
531	C₂²×C₄×C₆₁	—	2	1	no	—
532	C₂²×C₄×C₆₁	—	2	1	no	—
533	C₂²×C₄×C₆₁	—	2	1	no	—
534	C₂²×C₄×C₆₁	—	2	1	no	—
535	C₂²×C₄×C₆₁	—	2	1	no	—
536	C₂²×C₄×C₆₁	—	2	1	no	—
537	C₂²×C₄×C₆₁	—	2	1	no	—
538	C₂²×C₄×C₆₁	—	2	1	no	—
539	C₂²×C₄×C₆₁	—	2	1	no	—
540	C₂²×C₄×C₆₁	—	2	1	no	—
541	C₂²×C₄×C₆₁	—	2	1	no	—
542	C₂²×C₄×C₆₁	—	2	1	no	—
543	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
548	Q₁₆×C₆₁	—	2	2	no	—
549	Q₁₆×C₆₁	—	2	2	no	—
550	Q₁₆×C₆₁	—	2	2	no	—
551	Q₁₆×C₆₁	—	2	2	no	—
552	Q₁₆×C₆₁	—	2	2	no	—
553	Q₁₆×C₆₁	—	4	1	no	—
554	Q₁₆×C₆₁	—	4	1	no	—
555	Q₁₆×C₆₁	—	4	1	no	—
556	Q₁₆×C₆₁	—	4	1	no	—
557	Q₁₆×C₆₁	—	4	1	no	—
558	Q₁₆×C₆₁	—	4	1	no	—
559	Q₁₆×C₆₁	—	4	1	no	—
560	Q₁₆×C₆₁	—	4	1	no	—
561	Q₁₆×C₆₁	—	4	1	no	—
562	Q₁₆×C₆₁	—	4	1	no	—
563	SD₁₆×C₆₁	—	2	2	no	—
564	SD₁₆×C₆₁	—	4	1	no	—
565	SD₁₆×C₆₁	—	4	1	no	—
566	SD₁₆×C₆₁	—	4	1	no	—
567	SD₁₆×C₆₁	—	4	1	no	—
568	SD₁₆×C₆₁	—	4	1	no	—
569	SD₁₆×C₆₁	—	4	1	no	—
570	SD₁₆×C₆₁	—	4	1	no	—
571	D₈×C₆₁	—	4	1	no	—
572	M₁₆×C₆₁	—	4	1	no	—
573	M₁₆×C₆₁	—	4	1	no	—
574	C₂×C₈×C₆₁	—	4	1	no	—
575	C₂×C₈×C₆₁	—	4	1	no	—
576	C₂×C₈×C₆₁	—	4	1	no	—
577	C₂×C₈×C₆₁	—	4	1	no	—
578	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
586	C₄⋊C₄×C₆₁	—	2	1	no	—
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	—	2	1	no	—
599	C₄⋊C₄×C₆₁	—	2	1	no	—
600	C₄⋊C₄×C₆₁	—	2	1	no	—
601	C₄⋊C₄×C₆₁	—	2	1	no	—
602	C₄⋊C₄×C₆₁	—	2	1	no	—
603	C₄⋊C₄×C₆₁	—	2	1	no	—
604	C₄⋊C₄×C₆₁	—	2	1	no	—
605	C₄⋊C₄×C₆₁	—	2	1	no	—
606	C₄⋊C₄×C₆₁	—	2	1	no	—
607	C₄⋊C₄×C₆₁	—	2	1	no	—
608	C₄⋊C₄×C₆₁	—	2	1	no	—
609	C₄⋊C₄×C₆₁	—	2	1	no	—
610	C₄⋊C₄×C₆₁	—	2	1	no	—
611	C₄⋊C₄×C₆₁	—	2	1	no	—
612	C₄⋊C₄×C₆₁	—	2	1	no	—
613	C₄⋊C₄×C₆₁	—	2	1	no	—
614	C₄⋊C₄×C₆₁	—	2	1	no	—
615	C₄⋊C₄×C₆₁	—	2	1	no	—
616	C₄⋊C₄×C₆₁	—	2	1	no	—
617	C₄⋊C₄×C₆₁	—	2	1	no	—
618	C₄⋊C₄×C₆₁	—	2	1	no	—
619	C₄⋊C₄×C₆₁	—	2	1	no	—
620	C₄⋊C₄×C₆₁	—	2	1	no	—
621	C₄⋊C₄×C₆₁	—	2	1	no	—
622	C₄⋊C₄×C₆₁	—	2	1	no	—
623	C₄⋊C₄×C₆₁	—	2	1	no	—
624	C₄⋊C₄×C₆₁	—	2	1	no	—
625	C₄⋊C₄×C₆₁	—	2	1	no	—
626	C₄⋊C₄×C₆₁	—	2	1	no	—
627	C₄⋊C₄×C₆₁	—	2	1	no	—
628	C₄⋊C₄×C₆₁	—	2	1	no	—
629	C₄⋊C₄×C₆₁	—	2	1	no	—
630	C₄⋊C₄×C₆₁	—	2	1	no	—
631	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
642	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
645	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
647	C₂²⋊C₄×C₆₁	—	2	1	no	—
648	C₂²⋊C₄×C₆₁	—	2	1	no	—
649	C₂²⋊C₄×C₆₁	—	2	1	no	—
650	C₂²⋊C₄×C₆₁	—	2	1	no	—
651	C₂²⋊C₄×C₆₁	—	2	1	no	—
652	C₂²⋊C₄×C₆₁	—	2	1	no	—
653	C₂²⋊C₄×C₆₁	—	2	1	no	—
654	C₂²⋊C₄×C₆₁	—	2	1	no	—
655	C₂²⋊C₄×C₆₁	—	2	1	no	—
656	C₂²⋊C₄×C₆₁	—	2	1	no	—
657	C₂²⋊C₄×C₆₁	—	2	1	no	—
658	C₂²⋊C₄×C₆₁	—	2	1	no	—
659	C₂²⋊C₄×C₆₁	—	2	1	no	—
660	C₂²⋊C₄×C₆₁	—	2	1	no	—
661	C₂²⋊C₄×C₆₁	—	2	1	no	—
662	C₂²⋊C₄×C₆₁	—	2	1	no	—
663	C₂²⋊C₄×C₆₁	—	2	1	no	—
664	C₂²⋊C₄×C₆₁	—	2	1	no	—
665	C₂²⋊C₄×C₆₁	—	2	1	no	—
666	C₂²⋊C₄×C₆₁	—	2	1	no	—
667	C₂²⋊C₄×C₆₁	—	2	1	no	—
668	C₂²⋊C₄×C₆₁	—	2	1	no	—
669	C₂²⋊C₄×C₆₁	—	2	1	no	—
670	C₂²⋊C₄×C₆₁	—	2	1	no	—
671	C₂²⋊C₄×C₆₁	—	2	1	no	—
672	C₂²⋊C₄×C₆₁	—	2	1	no	—
673	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
674	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
675	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
676	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
677	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
678	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
679	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₆₁	—	2	1	no	—
684	C₄²×C₆₁	—	2	1	no	—
685	C₄²×C₆₁	—	2	1	no	—
686	C₄²×C₆₁	—	2	1	no	—
687	C₄²×C₆₁	—	2	1	no	—
688	C₄²×C₆₁	—	2	1	no	—
689	C₄²×C₆₁	—	2	1	no	—
690	C₄²×C₆₁	—	2	1	no	—
691	C₄²×C₆₁	—	2	1	no	—
692	C₄²×C₆₁	—	2	1	no	—
693	C₄²×C₆₁	—	2	1	no	—
694	C₄²×C₆₁	—	2	1	no	—
695	C₄²×C₆₁	—	2	1	no	—
696	C₄²×C₆₁	—	2	1	no	—
697	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
699	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
700	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
701	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
702	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
703	C₂³×C₆₁	—	2	1	no	—
704	C₂³×C₆₁	—	2	1	no	—
705	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
706	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
707	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
708	Q₈×C₆₁	—	2	1	no	—
709	Q₈×C₆₁	—	2	1	no	—
710	Q₈×C₆₁	—	2	1	no	—
711	Q₈×C₆₁	—	2	1	no	—
712	Q₈×C₆₁	—	2	1	no	—
713	Q₈×C₆₁	—	2	1	no	—
714	Q₈×C₆₁	—	2	1	no	—
715	Q₈×C₆₁	—	2	1	no	—
716	Q₈×C₆₁	—	2	1	no	—
717	Q₈×C₆₁	—	2	1	no	—
718	Q₈×C₆₁	—	2	1	no	—
719	Q₈×C₆₁	—	2	1	no	—
720	Q₈×C₆₁	—	2	1	no	—
721	Q₈×C₆₁	—	2	1	no	—
722	Q₈×C₆₁	—	2	1	no	—
723	Q₈×C₆₁	—	4	1	no	—
724	Q₈×C₆₁	—	4	2	no	—
725	Q₈×C₆₁	—	4	2	no	—
726	Q₈×C₆₁	—	8	1	no	—
727	Q₈×C₆₁	—	8	1	no	—
728	Q₈×C₆₁	—	8	1	no	—
729	Q₈×C₆₁	—	8	1	no	—
730	Q₈×C₆₁	—	8	1	no	—
731	Q₈×C₆₁	H(5,𝔽₂)	1	2	yes	—
732	D₄×C₆₁	—	2	2	no	—
733	D₄×C₆₁	—	2	2	no	—
734	D₄×C₆₁	—	2	1	no	—
735	D₄×C₆₁	—	2	1	no	—
736	D₄×C₆₁	—	2	1	no	—
737	D₄×C₆₁	—	2	1	no	—
738	D₄×C₆₁	—	4	1	no	—
739	D₄×C₆₁	—	4	2	no	—
740	D₄×C₆₁	—	4	2	no	—
741	D₄×C₆₁	—	4	2	no	—
742	D₄×C₆₁	—	8	1	no	—
743	D₄×C₆₁	—	8	1	no	—
744	D₄×C₆₁	—	8	1	no	—
745	C₂×C₄×C₆₁	—	2	2	no	—
746	C₂×C₄×C₆₁	—	2	1	no	—
747	C₂×C₄×C₆₁	—	2	1	no	—
748	C₂×C₄×C₆₁	—	2	1	no	—
749	C₂×C₄×C₆₁	—	2	1	no	—
750	C₂×C₄×C₆₁	—	2	1	no	—
751	C₂×C₄×C₆₁	—	2	1	no	—
752	C₂×C₄×C₆₁	—	2	1	no	—
753	C₂×C₄×C₆₁	—	2	1	no	—
754	C₂×C₄×C₆₁	—	2	1	no	—
755	C₂×C₄×C₆₁	—	2	1	no	—
756	C₂×C₄×C₆₁	—	2	1	no	—
757	C₂×C₄×C₆₁	—	2	1	no	—
758	C₂×C₄×C₆₁	—	2	1	no	—
759	C₂×C₄×C₆₁	—	2	1	no	—
760	C₂×C₄×C₆₁	—	2	1	no	—
761	C₂×C₄×C₆₁	—	2	1	no	—
762	C₂×C₄×C₆₁	—	2	1	no	—
763	C₂×C₄×C₆₁	—	2	1	no	—
764	C₂×C₄×C₆₁	—	2	1	no	—
765	C₂×C₄×C₆₁	—	2	1	no	—
766	C₂×C₄×C₆₁	—	4	1	no	—
767	C₂×C₄×C₆₁	—	4	2	no	—
768	C₂×C₄×C₆₁	—	4	2	no	—
769	C₂×C₄×C₆₁	—	4	2	no	—
770	C₂×C₄×C₆₁	—	4	2	no	—
771	C₂×C₄×C₆₁	—	8	1	no	—
772	C₂×C₄×C₆₁	—	8	1	no	—
773	C₂×C₄×C₆₁	—	8	1	no	—
774	C₂×C₄×C₆₁	—	8	1	no	—
775	C₂×C₄×C₆₁	—	8	1	no	—
776	C₂×C₄×C₆₁	—	8	1	no	—
777	C₂×C₄×C₆₁	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
793	C₈×C₆₁	—	2	1	no	—
794	C₈×C₆₁	—	2	1	no	—
795	C₈×C₆₁	—	2	1	no	—
796	C₈×C₆₁	—	2	1	no	—
797	C₈×C₆₁	—	2	1	no	—
798	C₈×C₆₁	—	2	1	no	—
799	C₈×C₆₁	—	2	1	no	—
800	C₈×C₆₁	—	2	1	no	—
801	#62010	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
802	C₂²×C₆₁	—	2	1	no	—
803	C₂²×C₆₁	—	2	1	no	—
804	C₂²×C₆₁	—	2	1	no	—
805	C₂²×C₆₁	—	2	1	no	—
806	C₂²×C₆₁	—	2	1	no	—
807	C₂²×C₆₁	—	2	1	no	—
808	C₂²×C₆₁	—	2	1	no	—
809	C₂²×C₆₁	—	2	1	no	—
810	C₂²×C₆₁	—	4	1	no	—
811	C₂²×C₆₁	—	4	1	no	—
812	C₂²×C₆₁	—	4	1	no	—
813	C₂²×C₆₁	—	4	1	no	—
814	C₂²×C₆₁	—	4	1	no	—
815	C₂²×C₆₁	—	4	1	no	—
816	C₂²×C₆₁	#578	1	2	yes	—
817	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
818	C₄×C₆₁	—	2	1	no	—
819	C₄×C₆₁	—	2	1	no	—
820	C₄×C₆₁	—	2	1	no	—
821	C₄×C₆₁	—	2	1	no	—
822	C₄×C₆₁	—	2	1	no	—
823	C₄×C₆₁	—	2	1	no	—
824	C₄×C₆₁	—	2	1	no	—
825	C₄×C₆₁	—	2	2	no	—
826	C₄×C₆₁	—	2	1	no	—
827	C₄×C₆₁	—	2	1	no	—
828	C₄×C₆₁	—	2	1	no	—
829	C₄×C₆₁	—	2	1	no	—
830	C₄×C₆₁	—	4	1	no	—
831	C₄×C₆₁	—	4	1	no	—
832	C₄×C₆₁	—	4	1	no	—
833	C₄×C₆₁	—	4	1	no	—
834	C₄×C₆₁	—	4	1	no	—
835	C₄×C₆₁	—	4	1	no	—
836	C₄×C₆₁	—	4	1	no	—
837	C₄×C₆₁	—	4	1	no	—
838	C₄×C₆₁	—	4	1	no	—
839	C₄×C₆₁	—	4	1	no	—
840	C₄×C₆₁	—	4	1	no	—
841	C₄×C₆₁	—	4	1	no	—
842	C₄×C₆₁	—	4	1	no	—
843	C₄×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
844	C₄×C₆₁	#585	1	1	yes	characteristic
845	#3552	C₂×C₆₁	1	1	yes	characteristic, complemented
846	#3516	C₂×C₆₁	1	1	yes	characteristic, complemented
847	#3402	C₂×C₆₁	1	1	yes	characteristic, complemented
848	#3398	C₂×C₆₁	1	1	yes	characteristic, complemented
849	#3377	C₂×C₆₁	1	1	yes	characteristic, complemented
850	#3374	C₂×C₆₁	1	1	yes	characteristic, complemented
851	#3320	C₂×C₆₁	1	1	yes	characteristic, complemented
852	#3316	C₂×C₆₁	1	1	yes	characteristic, complemented
853	#3315	C₂×C₆₁	1	1	yes	characteristic, complemented
854	#3312	C₂×C₆₁	1	1	yes	characteristic, complemented
855	#3301	C₂×C₆₁	1	1	yes	characteristic, complemented
856	#3299	C₂×C₆₁	1	1	yes	characteristic, complemented
857	D₄×Q₁₆	C₂×C₆₁	1	1	yes	characteristic, complemented
858	#3285	C₂×C₆₁	1	1	yes	characteristic, complemented
859	#3270	C₂×C₆₁	1	1	yes	characteristic, complemented
860	#3270	C₂×C₆₁	1	1	yes	characteristic, complemented
861	#3270	C₂×C₆₁	1	1	yes	characteristic, complemented
862	#3269	C₂×C₆₁	1	1	yes	characteristic, complemented
863	#3261	C₂×C₆₁	1	1	yes	characteristic, complemented
864	#3258	C₂×C₆₁	1	1	yes	characteristic, complemented
865	#3250	C₂×C₆₁	1	1	yes	characteristic, complemented
866	#3225	C₂×C₆₁	1	1	yes	characteristic, complemented
867	#3223	C₂×C₆₁	1	1	yes	characteristic, complemented
868	#3218	C₂×C₆₁	1	1	yes	characteristic, complemented
869	#3127	C₂×C₆₁	1	1	yes	characteristic, complemented
870	#3120	C₂×C₆₁	1	1	yes	characteristic, complemented
871	#3117	C₂×C₆₁	1	1	yes	characteristic, complemented
872	#3046	C₂×C₆₁	1	1	yes	characteristic, complemented
873	#3044	C₂×C₆₁	1	1	yes	characteristic, complemented
874	C₂×#462	C₂×C₆₁	1	1	yes	characteristic, complemented
875	#2992	C₂×C₆₁	1	1	yes	characteristic, complemented
876	C₂×C₆₁	—	2	2	no	—
877	C₂×C₆₁	—	4	1	no	—
878	C₂×C₆₁	—	4	1	no	—
879	C₂×C₆₁	—	8	1	no	—
880	C₂×C₆₁	—	8	1	no	—
881	C₂×C₆₁	#3488	1	1	yes	characteristic
882	C₂×C₆₁	C₂×#578	1	1	yes	characteristic
883	C₂×C₆₁	#3586	1	1	yes	characteristic
884	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic
885	C₂×#137	C₂²×C₆₁	1	1	yes	characteristic
886	C₂×#135	C₂²×C₆₁	1	1	yes	characteristic
887	C₂²×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
888	C₂²×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
889	C₂²×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
890	#563	—	2	1	no	—
891	#563	—	2	1	no	—
892	#557	C₂²×C₆₁	1	1	yes	characteristic
893	#557	C₂²×C₆₁	1	1	yes	characteristic
894	#556	—	2	1	no	—
895	#556	C₂²×C₆₁	1	1	yes	characteristic
896	#556	C₂²×C₆₁	1	1	yes	characteristic
897	#554	—	2	1	no	—
898	#554	—	2	1	no	—
899	#554	C₂²×C₆₁	1	1	yes	characteristic
900	#553	—	2	1	no	—
901	#553	—	2	1	no	—
902	#553	C₂²×C₆₁	1	1	yes	characteristic
903	#552	—	2	1	no	—
904	#552	C₂²×C₆₁	1	1	yes	characteristic
905	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
906	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
907	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
908	D₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
909	#548	C₂²×C₆₁	1	1	yes	characteristic
910	#548	C₂²×C₆₁	1	1	yes	characteristic
911	#548	C₂²×C₆₁	1	1	yes	characteristic
912	#548	C₂²×C₆₁	1	1	yes	characteristic
913	#547	C₂²×C₆₁	1	1	yes	characteristic
914	#544	—	2	1	no	—
915	#542	—	2	1	no	—
916	#542	—	2	1	no	—
917	#542	C₂²×C₆₁	1	1	yes	characteristic
918	#541	—	2	1	no	—
919	#541	C₂²×C₆₁	1	1	yes	characteristic
920	#541	C₂²×C₆₁	1	1	yes	characteristic
921	#541	C₂²×C₆₁	1	1	yes	characteristic
922	#539	—	2	1	no	—
923	#539	—	2	1	no	—
924	#536	C₂²×C₆₁	1	1	yes	characteristic
925	#536	C₂²×C₆₁	1	1	yes	characteristic
926	C₂×C₄⋊Q₈	C₂²×C₆₁	1	1	yes	characteristic
927	#529	—	2	1	no	—
928	#529	—	2	1	no	—
929	#529	C₂²×C₆₁	1	1	yes	characteristic
930	#529	C₂²×C₆₁	1	1	yes	characteristic
931	#529	C₂²×C₆₁	1	1	yes	characteristic
932	#520	C₂²×C₆₁	1	1	yes	characteristic
933	#519	C₂²×C₆₁	1	1	yes	characteristic
934	C₂×C₄×Q₈	C₂²×C₆₁	1	1	yes	characteristic
935	#497	C₂²×C₆₁	1	1	yes	characteristic
936	#497	C₂²×C₆₁	1	1	yes	characteristic
937	#497	C₂²×C₆₁	1	1	yes	characteristic
938	#497	C₂²×C₆₁	1	1	yes	characteristic
939	#495	C₂²×C₆₁	1	1	yes	characteristic
940	#494	C₂²×C₆₁	1	1	yes	characteristic
941	#491	C₂²×C₆₁	1	1	yes	characteristic
942	#491	C₂²×C₆₁	1	1	yes	characteristic
943	#491	C₂²×C₆₁	1	1	yes	characteristic
944	#489	C₂²×C₆₁	1	1	yes	characteristic
945	#488	C₂²×C₆₁	1	1	yes	characteristic
946	#487	C₂²×C₆₁	1	1	yes	characteristic
947	#485	C₂²×C₆₁	1	1	yes	characteristic
948	#485	C₂²×C₆₁	1	1	yes	characteristic
949	#484	C₂²×C₆₁	1	1	yes	characteristic
950	#484	C₂²×C₆₁	1	1	yes	characteristic
951	#483	C₂²×C₆₁	1	1	yes	characteristic
952	#481	C₂²×C₆₁	1	1	yes	characteristic
953	#479	C₂²×C₆₁	1	1	yes	characteristic
954	#479	C₂²×C₆₁	1	1	yes	characteristic
955	#479	C₂²×C₆₁	1	1	yes	characteristic
956	#479	C₂²×C₆₁	1	1	yes	characteristic
957	#479	C₂²×C₆₁	1	1	yes	characteristic
958	#479	C₂²×C₆₁	1	1	yes	characteristic
959	#478	C₂²×C₆₁	1	1	yes	characteristic
960	#478	C₂²×C₆₁	1	1	yes	characteristic
961	#477	C₂²×C₆₁	1	1	yes	characteristic
962	#475	C₂²×C₆₁	1	1	yes	characteristic
963	#470	C₂²×C₆₁	1	1	yes	characteristic
964	#470	C₂²×C₆₁	1	1	yes	characteristic
965	#470	C₂²×C₆₁	1	1	yes	characteristic
966	#468	C₂²×C₆₁	1	1	yes	characteristic
967	#467	C₂²×C₆₁	1	1	yes	characteristic
968	#467	C₂²×C₆₁	1	1	yes	characteristic
969	#467	C₂²×C₆₁	1	1	yes	characteristic
970	#467	C₂²×C₆₁	1	1	yes	characteristic
971	#466	C₂²×C₆₁	1	1	yes	characteristic
972	#465	C₂²×C₆₁	1	1	yes	characteristic
973	#465	C₂²×C₆₁	1	1	yes	characteristic
974	#465	C₂²×C₆₁	1	1	yes	characteristic
975	#464	C₂²×C₆₁	1	1	yes	characteristic
976	#464	C₂²×C₆₁	1	1	yes	characteristic
977	#464	C₂²×C₆₁	1	1	yes	characteristic
978	#464	C₂²×C₆₁	1	1	yes	characteristic
979	#464	C₂²×C₆₁	1	1	yes	characteristic
980	#464	C₂²×C₆₁	1	1	yes	characteristic
981	#464	C₂²×C₆₁	1	1	yes	characteristic
982	#464	C₂²×C₆₁	1	1	yes	characteristic
983	#464	C₂²×C₆₁	1	1	yes	characteristic
984	#463	C₂²×C₆₁	1	1	yes	characteristic
985	#463	C₂²×C₆₁	1	1	yes	characteristic
986	#463	C₂²×C₆₁	1	1	yes	characteristic
987	#462	C₂²×C₆₁	1	1	yes	characteristic
988	#462	C₂²×C₆₁	1	1	yes	characteristic
989	#462	C₂²×C₆₁	1	1	yes	characteristic
990	#462	C₂²×C₆₁	1	1	yes	characteristic
991	#462	C₂²×C₆₁	1	1	yes	characteristic
992	#462	C₂²×C₆₁	1	1	yes	characteristic
993	#462	C₂²×C₆₁	1	1	yes	characteristic
994	#462	C₂²×C₆₁	1	1	yes	characteristic
995	#462	C₂²×C₆₁	1	1	yes	characteristic
996	#462	C₂²×C₆₁	1	1	yes	characteristic
997	#462	C₂²×C₆₁	1	1	yes	characteristic
998	#462	C₂²×C₆₁	1	1	yes	characteristic
999	#462	C₂²×C₆₁	1	1	yes	characteristic
1000	#462	C₂²×C₆₁	1	1	yes	characteristic
1001	#462	C₂²×C₆₁	1	1	yes	characteristic
1002	#461	C₂²×C₆₁	1	1	yes	characteristic
1003	#461	C₂²×C₆₁	1	1	yes	characteristic
1004	#461	C₂²×C₆₁	1	1	yes	characteristic
1005	#452	C₂²×C₆₁	1	1	yes	characteristic
1006	#452	C₂²×C₆₁	1	1	yes	characteristic
1007	#452	C₂²×C₆₁	1	1	yes	characteristic
1008	#452	C₂²×C₆₁	1	1	yes	characteristic
1009	#452	C₂²×C₆₁	1	1	yes	characteristic
1010	#451	C₂²×C₆₁	1	1	yes	characteristic
1011	#451	C₂²×C₆₁	1	1	yes	characteristic
1012	#451	C₂²×C₆₁	1	1	yes	characteristic
1013	#451	C₂²×C₆₁	1	1	yes	characteristic
1014	#451	C₂²×C₆₁	1	1	yes	characteristic
1015	#451	C₂²×C₆₁	1	1	yes	characteristic
1016	#451	C₂²×C₆₁	1	1	yes	characteristic
1017	#451	C₂²×C₆₁	1	1	yes	characteristic
1018	#449	C₂²×C₆₁	1	1	yes	characteristic
1019	#448	C₂²×C₆₁	1	1	yes	characteristic
1020	#448	C₂²×C₆₁	1	1	yes	characteristic
1021	#448	C₂²×C₆₁	1	1	yes	characteristic
1022	#448	C₂²×C₆₁	1	1	yes	characteristic
1023	#446	C₂²×C₆₁	1	1	yes	characteristic
1024	#446	C₂²×C₆₁	1	1	yes	characteristic
1025	#441	C₂²×C₆₁	1	1	yes	characteristic
1026	#441	C₂²×C₆₁	1	1	yes	characteristic
1027	#441	C₂²×C₆₁	1	1	yes	characteristic
1028	#441	C₂²×C₆₁	1	1	yes	characteristic
1029	#441	C₂²×C₆₁	1	1	yes	characteristic
1030	#440	C₂²×C₆₁	1	1	yes	characteristic
1031	#440	C₂²×C₆₁	1	1	yes	characteristic
1032	#440	C₂²×C₆₁	1	1	yes	characteristic
1033	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
1034	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
1035	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic
1036	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1037	#435	C₂²×C₆₁	1	1	yes	characteristic
1038	#435	C₂²×C₆₁	1	1	yes	characteristic
1039	#435	C₂²×C₆₁	1	1	yes	characteristic
1040	#435	C₂²×C₆₁	1	1	yes	characteristic
1041	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1042	C₈×D₄	C₂²×C₆₁	1	1	yes	characteristic
1043	#433	C₂²×C₆₁	1	1	yes	characteristic
1044	#433	C₂²×C₆₁	1	1	yes	characteristic
1045	#432	C₂²×C₆₁	1	1	yes	characteristic
1046	#424	C₂²×C₆₁	1	1	yes	characteristic
1047	#424	C₂²×C₆₁	1	1	yes	characteristic
1048	C₂×C₄⋊C₈	C₂²×C₆₁	1	1	yes	characteristic
1049	#419	C₂²×C₆₁	1	1	yes	characteristic
1050	#417	C₂²×C₆₁	1	1	yes	characteristic
1051	#416	C₂²×C₆₁	1	1	yes	characteristic
1052	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1053	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1054	C₂×#103	C₂²×C₆₁	1	1	yes	characteristic
1055	C₆₁	#62010	1	1	yes	characteristic, direct product factor, Sylow
1056	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1057	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1058	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1059	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1060	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1061	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1062	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1063	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂²×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1065	#137	—	4	2	no	—
1066	#137	—	4	2	no	—
1067	#135	—	4	2	no	—
1068	C₂×Q₁₆	—	4	2	no	—
1069	C₂×Q₁₆	—	4	2	no	—
1070	C₂×Q₁₆	—	4	2	no	—
1071	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1072	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1073	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1074	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1075	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1076	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1077	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1078	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1079	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1080	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1081	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1082	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1083	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1084	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1085	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1086	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1087	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1088	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1089	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1094	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1095	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1096	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1097	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1098	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1099	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1100	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1101	C₄⋊Q₈	—	2	1	no	—
1102	C₄⋊Q₈	—	2	1	no	—
1103	C₄⋊Q₈	—	2	1	no	—
1104	C₄⋊Q₈	—	2	1	no	—
1105	C₄⋊Q₈	—	2	1	no	—
1106	C₄⋊Q₈	—	2	1	no	—
1107	C₄⋊Q₈	—	2	1	no	—
1108	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1109	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1110	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1111	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1112	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1113	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1114	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1115	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1116	#126	—	2	1	no	—
1117	#126	—	2	1	no	—
1118	#126	—	2	1	no	—
1119	#126	—	2	1	no	—
1120	#126	—	2	1	no	—
1121	#126	—	2	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	—	2	1	no	—
1131	#126	D₄×C₆₁	1	1	yes	characteristic
1132	#126	D₄×C₆₁	1	1	yes	characteristic
1133	#125	—	2	1	no	—
1134	#125	—	2	1	no	—
1135	#125	—	2	1	no	—
1136	#125	—	2	1	no	—
1137	#125	—	2	1	no	—
1138	#125	—	2	1	no	—
1139	#125	—	2	1	no	—
1140	#125	—	2	1	no	—
1141	#125	—	2	1	no	—
1142	#125	—	2	1	no	—
1143	#125	—	2	1	no	—
1144	#125	—	2	1	no	—
1145	#125	—	2	1	no	—
1146	#125	D₄×C₆₁	1	1	yes	characteristic
1147	#125	C₂³×C₆₁	1	1	yes	characteristic
1148	#125	C₂³×C₆₁	1	1	yes	characteristic
1149	#125	C₂³×C₆₁	1	1	yes	characteristic
1150	#124	—	2	1	no	—
1151	#124	—	2	1	no	—
1152	#124	—	2	1	no	—
1153	#124	—	2	1	no	—
1154	#124	—	2	1	no	—
1155	#124	D₄×C₆₁	1	1	yes	characteristic
1156	#124	C₂³×C₆₁	1	1	yes	characteristic
1157	#124	C₂³×C₆₁	1	1	yes	characteristic
1158	#124	C₂³×C₆₁	1	1	yes	characteristic
1159	#124	C₂³×C₆₁	1	1	yes	characteristic
1160	#124	C₂³×C₆₁	1	1	yes	characteristic
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	2	1	no	—
1164	#123	—	2	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	D₄×C₆₁	1	1	yes	characteristic
1173	#123	D₄×C₆₁	1	1	yes	characteristic
1174	C₂²⋊Q₈	—	2	1	no	—
1175	C₂²⋊Q₈	—	2	1	no	—
1176	C₂²⋊Q₈	—	2	1	no	—
1177	C₂²⋊Q₈	—	2	1	no	—
1178	C₂²⋊Q₈	—	2	1	no	—
1179	C₂²⋊Q₈	—	2	1	no	—
1180	C₂²⋊Q₈	—	2	1	no	—
1181	C₂²⋊Q₈	—	2	1	no	—
1182	C₂²⋊Q₈	—	2	1	no	—
1183	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	D₄×C₆₁	1	1	yes	characteristic
1196	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1197	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1198	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1199	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1200	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1201	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1202	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1203	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1204	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1205	#121	—	2	1	no	—
1206	#121	—	2	1	no	—
1207	#121	—	2	1	no	—
1208	#121	—	2	1	no	—
1209	#121	—	2	1	no	—
1210	#121	—	2	1	no	—
1211	#121	D₄×C₆₁	1	1	yes	characteristic
1212	#121	C₂³×C₆₁	1	1	yes	characteristic
1213	#121	C₂³×C₆₁	1	1	yes	characteristic
1214	#121	C₂³×C₆₁	1	1	yes	characteristic
1215	C₄×Q₈	—	2	1	no	—
1216	C₄×Q₈	—	2	1	no	—
1217	C₄×Q₈	—	2	1	no	—
1218	C₄×Q₈	—	2	1	no	—
1219	C₄×Q₈	—	2	1	no	—
1220	C₄×Q₈	—	2	1	no	—
1221	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1222	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1223	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1224	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1225	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1226	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1227	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1228	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1229	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1230	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1231	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1232	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1233	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1234	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1235	C₄×D₄	—	2	1	no	—
1236	C₄×D₄	—	2	1	no	—
1237	C₄×D₄	—	2	1	no	—
1238	C₄×D₄	—	2	1	no	—
1239	C₄×D₄	—	2	1	no	—
1240	C₄×D₄	—	2	1	no	—
1241	C₄×D₄	—	2	1	no	—
1242	C₄×D₄	—	2	1	no	—
1243	C₄×D₄	—	2	1	no	—
1244	C₄×D₄	—	2	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	2	1	no	—
1248	C₄×D₄	—	2	1	no	—
1249	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1250	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1251	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1252	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1253	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1254	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1255	#117	—	2	1	no	—
1256	#117	—	2	1	no	—
1257	#117	—	2	1	no	—
1258	#117	—	2	1	no	—
1259	#117	—	2	1	no	—
1260	#117	—	2	1	no	—
1261	#117	—	2	1	no	—
1262	#117	—	2	1	no	—
1263	#117	C₂³×C₆₁	1	1	yes	characteristic
1264	#117	C₂³×C₆₁	1	1	yes	characteristic
1265	#117	C₂³×C₆₁	1	1	yes	characteristic
1266	C₂×C₄⋊C₄	—	2	1	no	—
1267	C₂×C₄⋊C₄	—	2	1	no	—
1268	C₂×C₄⋊C₄	—	2	1	no	—
1269	C₂×C₄⋊C₄	—	2	1	no	—
1270	C₂×C₄⋊C₄	—	2	1	no	—
1271	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1272	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1273	C₂×C₄²	—	2	1	no	—
1274	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1275	#107	C₂³×C₆₁	1	1	yes	characteristic
1276	#107	C₂³×C₆₁	1	1	yes	characteristic
1277	#107	C₂³×C₆₁	1	1	yes	characteristic
1278	#107	C₂³×C₆₁	1	1	yes	characteristic
1279	#106	C₂³×C₆₁	1	1	yes	characteristic
1280	#106	C₂³×C₆₁	1	1	yes	characteristic
1281	#106	C₂³×C₆₁	1	1	yes	characteristic
1282	#106	C₂³×C₆₁	1	1	yes	characteristic
1283	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1284	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1285	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1286	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1287	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1288	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1289	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1290	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1291	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1292	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1293	#103	C₂³×C₆₁	1	1	yes	characteristic
1294	#103	C₂³×C₆₁	1	1	yes	characteristic
1295	#103	C₂³×C₆₁	1	1	yes	characteristic
1296	#103	C₂³×C₆₁	1	1	yes	characteristic
1297	#103	C₂³×C₆₁	1	1	yes	characteristic
1298	#103	C₂³×C₆₁	1	1	yes	characteristic
1299	#103	C₂³×C₆₁	1	1	yes	characteristic
1300	#103	C₂³×C₆₁	1	1	yes	characteristic
1301	#103	C₂³×C₆₁	1	1	yes	characteristic
1302	#103	C₂³×C₆₁	1	1	yes	characteristic
1303	#103	C₂³×C₆₁	1	1	yes	characteristic
1304	#103	C₂³×C₆₁	1	1	yes	characteristic
1305	#103	C₂³×C₆₁	1	1	yes	characteristic
1306	#103	C₂³×C₆₁	1	1	yes	characteristic
1307	#103	C₂³×C₆₁	1	1	yes	characteristic
1308	#103	C₂³×C₆₁	1	1	yes	characteristic
1309	#103	C₂³×C₆₁	1	1	yes	characteristic
1310	#103	C₂³×C₆₁	1	1	yes	characteristic
1311	#103	C₂³×C₆₁	1	1	yes	characteristic
1312	#103	C₂³×C₆₁	1	1	yes	characteristic
1313	#103	C₂³×C₆₁	1	1	yes	characteristic
1314	#103	C₂³×C₆₁	1	1	yes	characteristic
1315	#103	C₂³×C₆₁	1	1	yes	characteristic
1316	#103	C₂³×C₆₁	1	1	yes	characteristic
1317	#103	C₂³×C₆₁	1	1	yes	characteristic
1318	#103	C₂³×C₆₁	1	1	yes	characteristic
1319	#102	C₂³×C₆₁	1	1	yes	characteristic
1320	#102	C₂³×C₆₁	1	1	yes	characteristic
1321	#102	C₂³×C₆₁	1	1	yes	characteristic
1322	#102	C₂³×C₆₁	1	1	yes	characteristic
1323	#102	C₂³×C₆₁	1	1	yes	characteristic
1324	#102	C₂³×C₆₁	1	1	yes	characteristic
1325	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1326	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1327	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1328	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1329	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1330	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1331	#97	C₂³×C₆₁	1	1	yes	characteristic
1332	#97	C₂³×C₆₁	1	1	yes	characteristic
1333	#97	C₂³×C₆₁	1	1	yes	characteristic
1334	#97	C₂³×C₆₁	1	1	yes	characteristic
1335	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1336	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1337	#41	—	2	2	no	—
1338	#41	—	4	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	4	1	no	—
1343	C₂×Q₈	—	2	1	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	1	no	—
1350	C₂×Q₈	—	2	2	no	—
1351	C₂×Q₈	—	2	2	no	—
1352	C₂×Q₈	—	4	1	no	—
1353	C₂×Q₈	—	4	1	no	—
1354	C₂×Q₈	—	4	1	no	—
1355	C₂×Q₈	—	4	1	no	—
1356	C₂×Q₈	—	4	1	no	—
1357	C₂×Q₈	—	4	1	no	—
1358	C₂×Q₈	—	4	1	no	—
1359	C₂×Q₈	—	4	1	no	—
1360	C₂×Q₈	—	4	1	no	—
1361	C₂×Q₈	—	4	1	no	—
1362	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1363	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1364	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1365	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1366	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1367	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1368	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1369	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1370	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1378	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1379	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1380	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1381	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1397	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1398	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1399	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1400	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1401	Q₁₆	—	2	2	no	—
1402	Q₁₆	—	2	2	no	—
1403	Q₁₆	—	2	2	no	—
1404	Q₁₆	—	2	2	no	—
1405	Q₁₆	—	2	2	no	—
1406	Q₁₆	—	4	1	no	—
1407	Q₁₆	—	4	1	no	—
1408	Q₁₆	—	4	1	no	—
1409	Q₁₆	—	4	1	no	—
1410	Q₁₆	—	4	1	no	—
1411	Q₁₆	—	4	1	no	—
1412	Q₁₆	—	4	1	no	—
1413	Q₁₆	—	4	1	no	—
1414	Q₁₆	—	4	1	no	—
1415	Q₁₆	—	4	1	no	—
1416	SD₁₆	—	2	2	no	—
1417	SD₁₆	—	4	1	no	—
1418	SD₁₆	—	4	1	no	—
1419	SD₁₆	—	4	1	no	—
1420	SD₁₆	—	4	1	no	—
1421	SD₁₆	—	4	1	no	—
1422	SD₁₆	—	4	1	no	—
1423	SD₁₆	—	4	1	no	—
1424	D₈	—	4	1	no	—
1425	M₁₆	—	4	1	no	—
1426	M₁₆	—	4	1	no	—
1427	C₂×C₈	—	4	1	no	—
1428	C₂×C₈	—	4	1	no	—
1429	C₂×C₈	—	4	1	no	—
1430	C₂×C₈	—	4	1	no	—
1431	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1434	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1435	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1436	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1437	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1438	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1485	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1486	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1487	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1494	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1495	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1496	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1497	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1498	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1499	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1532	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1533	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1534	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1535	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	—	2	1	no	—
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	2	1	no	—
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1551	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1552	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1553	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1554	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1555	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1556	C₂³	—	2	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1559	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1560	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	2	1	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	2	1	no	—
1576	Q₈	—	4	1	no	—
1577	Q₈	—	4	2	no	—
1578	Q₈	—	4	2	no	—
1579	Q₈	—	8	1	no	—
1580	Q₈	—	8	1	no	—
1581	Q₈	—	8	1	no	—
1582	Q₈	—	8	1	no	—
1583	Q₈	—	8	1	no	—
1584	Q₈	H(5,𝔽₂)×C₆₁	1	2	yes	—
1585	D₄	—	2	2	no	—
1586	D₄	—	2	2	no	—
1587	D₄	—	2	1	no	—
1588	D₄	—	2	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	4	1	no	—
1592	D₄	—	4	2	no	—
1593	D₄	—	4	2	no	—
1594	D₄	—	4	2	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	D₄	—	8	1	no	—
1598	C₂×C₄	—	2	2	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	4	1	no	—
1620	C₂×C₄	—	4	2	no	—
1621	C₂×C₄	—	4	2	no	—
1622	C₂×C₄	—	4	2	no	—
1623	C₂×C₄	—	4	2	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	8	1	no	—
1633	C₂×C₄	—	8	1	no	—
1634	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1641	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1642	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1643	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1644	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1645	C₂×C₄	C₂⁵×C₆₁	1	1	yes	characteristic
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	C₆₁×#578	1	2	yes	—
1669	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	2	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	C₂×H(5,𝔽₂)×C₆₁	1	1	yes	characteristic
1696	C₄	C₆₁×#585	1	1	yes	characteristic
1697	C₂	—	2	2	no	—
1698	C₂	—	4	1	no	—
1699	C₂	—	4	1	no	—
1700	C₂	—	8	1	no	—
1701	C₂	—	8	1	no	—
1702	C₂	C₆₁×#3488	1	1	yes	characteristic
1703	C₂	C₂×C₆₁×#578	1	1	yes	characteristic
1704	C₂	C₆₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₁ ◁ C₆₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3552	C₂	semidirect
2. C₆₁×#3516	C₂	semidirect
3. C₆₁×#3402	C₂	semidirect
4. C₆₁×#3398	C₂	semidirect
5. C₆₁×#3377	C₂	semidirect
6. C₆₁×#3374	C₂	semidirect
7. C₆₁×#3320	C₂	semidirect
8. C₆₁×#3316	C₂	semidirect
9. C₆₁×#3315	C₂	semidirect
10. C₆₁×#3312	C₂	semidirect
11. C₆₁×#3301	C₂	semidirect
12. C₆₁×#3299	C₂	semidirect
13. D₄×Q₁₆×C₆₁	C₂	semidirect
14. C₆₁×#3285	C₂	semidirect
15. C₆₁×#3270	C₂	semidirect
16. C₆₁×#3270	C₂	semidirect
17. C₆₁×#3270	C₂	semidirect
18. C₆₁×#3269	C₂	semidirect
19. C₆₁×#3261	C₂	semidirect
20. C₆₁×#3258	C₂	semidirect
21. C₆₁×#3250	C₂	semidirect
22. C₆₁×#3225	C₂	semidirect
23. C₆₁×#3223	C₂	semidirect
24. C₆₁×#3218	C₂	semidirect
25. C₆₁×#3127	C₂	semidirect
26. C₆₁×#3120	C₂	semidirect
27. C₆₁×#3117	C₂	semidirect
28. C₆₁×#3046	C₂	semidirect
29. C₆₁×#3044	C₂	semidirect
30. C₂×C₆₁×#462	C₂	semidirect
31. C₆₁×#2992	C₂	semidirect
801. #62010	C₆₁	direct (N × H)
845. #3552	C₂×C₆₁	semidirect
846. #3516	C₂×C₆₁	semidirect
847. #3402	C₂×C₆₁	semidirect
848. #3398	C₂×C₆₁	semidirect
849. #3377	C₂×C₆₁	semidirect
850. #3374	C₂×C₆₁	semidirect
851. #3320	C₂×C₆₁	semidirect
852. #3316	C₂×C₆₁	semidirect
853. #3315	C₂×C₆₁	semidirect
854. #3312	C₂×C₆₁	semidirect
855. #3301	C₂×C₆₁	semidirect
856. #3299	C₂×C₆₁	semidirect
857. D₄×Q₁₆	C₂×C₆₁	semidirect
858. #3285	C₂×C₆₁	semidirect
859. #3270	C₂×C₆₁	semidirect
860. #3270	C₂×C₆₁	semidirect
861. #3270	C₂×C₆₁	semidirect
862. #3269	C₂×C₆₁	semidirect
863. #3261	C₂×C₆₁	semidirect
864. #3258	C₂×C₆₁	semidirect
865. #3250	C₂×C₆₁	semidirect
866. #3225	C₂×C₆₁	semidirect
867. #3223	C₂×C₆₁	semidirect
868. #3218	C₂×C₆₁	semidirect
869. #3127	C₂×C₆₁	semidirect
870. #3120	C₂×C₆₁	semidirect
871. #3117	C₂×C₆₁	semidirect
872. #3046	C₂×C₆₁	semidirect
873. #3044	C₂×C₆₁	semidirect
874. C₂×#462	C₂×C₆₁	semidirect
875. #2992	C₂×C₆₁	semidirect
1055. C₆₁	#62010	direct (N × H)

Maximal subgroups

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

subgroup	index
C₆₁×#3552	2
C₆₁×#3516	2
C₆₁×#3402	2
C₆₁×#3398	2
C₆₁×#3377	2
C₆₁×#3374	2
C₆₁×#3320	2
C₆₁×#3316	2
C₆₁×#3315	2
C₆₁×#3312	2
C₆₁×#3301	2
C₆₁×#3299	2
D₄×Q₁₆×C₆₁	2
C₆₁×#3285	2
C₆₁×#3270	2
C₆₁×#3269	2
C₆₁×#3261	2
C₆₁×#3258	2
C₆₁×#3250	2
C₆₁×#3225	2
C₆₁×#3223	2
C₆₁×#3218	2
C₆₁×#3127	2
C₆₁×#3120	2
C₆₁×#3117	2
C₆₁×#3046	2
C₆₁×#3044	2
C₂×C₆₁×#462	2
C₆₁×#2992	2
#62010	61

Subgroups — C61×#62010 #29565443

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#62010 #29565443