Subgroups — C₆₁×#60997 #29564430

Order 15616.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₁×#3512	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₁×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₁×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₆₁×#3251	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₁×#3250	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₁×#3247	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₁×#3242	C₂	1	1	yes	maximal, characteristic, complemented
8	C₆₁×#3241	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₁×#3234	C₂	1	1	yes	maximal, characteristic, complemented
10	C₆₁×#3232	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3222	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₁×#3220	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₁×#3219	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₁×#3207	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₁×#3204	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₁×#3203	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₁×#3198	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₁×#3198	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₁×#3179	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₁×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₆₁×#3176	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₁×#3174	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₁×#3125	C₂	1	1	yes	maximal, characteristic, complemented
24	C₆₁×#3124	C₂	1	1	yes	maximal, characteristic, complemented
25	C₆₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
26	C₆₁×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₆₁×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₆₁×#3105	C₂	1	1	yes	maximal, characteristic, complemented
30	C₆₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#2925	C₂	1	1	yes	maximal, characteristic, complemented
32	C₆₁×#553	—	2	1	no	—
33	C₆₁×#553	—	2	1	no	—
34	C₆₁×#553	—	2	1	no	—
35	C₆₁×#553	—	2	1	no	—
36	C₆₁×#553	—	2	1	no	—
37	C₆₁×#553	—	2	1	no	—
38	C₆₁×#552	—	2	1	no	—
39	C₆₁×#552	—	2	1	no	—
40	C₆₁×#544	C₂²	1	1	yes	characteristic
41	C₆₁×#542	—	2	1	no	—
42	C₆₁×#542	C₂²	1	1	yes	characteristic
43	C₆₁×#542	C₂²	1	1	yes	characteristic
44	C₆₁×#541	C₂²	1	1	yes	characteristic
45	C₆₁×#541	C₂²	1	1	yes	characteristic, complemented
46	C₆₁×#540	—	2	1	no	—
47	C₆₁×#540	C₂²	1	1	yes	characteristic
48	C₆₁×#540	C₂²	1	1	yes	characteristic
49	C₆₁×#540	C₂²	1	1	yes	characteristic
50	C₆₁×#540	C₂²	1	1	yes	characteristic, complemented
51	C₆₁×#538	—	2	1	no	—
52	C₆₁×#538	—	2	1	no	—
53	C₆₁×#537	C₂²	1	1	yes	characteristic
54	C₆₁×#537	C₂²	1	1	yes	characteristic
55	C₆₁×#537	C₂²	1	1	yes	characteristic
56	C₆₁×#535	C₂²	1	1	yes	characteristic
57	C₆₁×#535	C₂²	1	1	yes	characteristic
58	C₆₁×#532	—	2	1	no	—
59	C₆₁×#532	C₂²	1	1	yes	characteristic
60	C₆₁×#532	C₂²	1	1	yes	characteristic
61	C₆₁×#532	C₂²	1	1	yes	characteristic, complemented
62	C₆₁×#529	—	2	1	no	—
63	C₆₁×#529	C₂²	1	1	yes	characteristic
64	C₆₁×#529	C₂²	1	1	yes	characteristic
65	C₆₁×#529	C₂²	1	1	yes	characteristic
66	C₆₁×#529	C₂²	1	1	yes	characteristic
67	C₆₁×#529	C₂²	1	1	yes	characteristic, complemented
68	C₆₁×#529	C₂²	1	1	yes	characteristic, complemented
69	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic, complemented
70	C₆₁×#525	—	2	1	no	—
71	C₆₁×#525	—	2	1	no	—
72	C₆₁×#520	C₂²	1	1	yes	characteristic, complemented
73	C₆₁×#520	C₂²	1	1	yes	characteristic, complemented
74	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
75	C₄×#41×C₆₁	C₂²	1	1	yes	characteristic
76	C₂×C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic
77	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
78	C₆₁×#501	C₂²	1	1	yes	characteristic, complemented
79	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
80	C₆₁×#499	C₂²	1	1	yes	characteristic, complemented
81	C₆₁×#497	C₂²	1	1	yes	characteristic
82	C₆₁×#496	C₂²	1	1	yes	characteristic
83	C₆₁×#493	C₂²	1	1	yes	characteristic
84	C₆₁×#492	C₂²	1	1	yes	characteristic
85	C₆₁×#491	C₂²	1	1	yes	characteristic, complemented
86	C₆₁×#490	C₂²	1	1	yes	characteristic
87	C₆₁×#490	C₂²	1	1	yes	characteristic
88	C₆₁×#490	C₂²	1	1	yes	characteristic, complemented
89	C₆₁×#488	C₂²	1	1	yes	characteristic
90	C₆₁×#488	C₂²	1	1	yes	characteristic
91	C₆₁×#487	C₂²	1	1	yes	characteristic, complemented
92	C₆₁×#486	C₂²	1	1	yes	characteristic, complemented
93	C₆₁×#485	C₂²	1	1	yes	characteristic
94	C₆₁×#485	C₂²	1	1	yes	characteristic
95	C₆₁×#484	C₂²	1	1	yes	characteristic
96	C₆₁×#484	C₂²	1	1	yes	characteristic, complemented
97	C₆₁×#483	C₂²	1	1	yes	characteristic
98	C₆₁×#483	C₂²	1	1	yes	characteristic, complemented
99	C₆₁×#482	C₂²	1	1	yes	characteristic
100	C₆₁×#482	C₂²	1	1	yes	characteristic
101	C₆₁×#481	C₂²	1	1	yes	characteristic
102	C₆₁×#481	C₂²	1	1	yes	characteristic
103	C₆₁×#481	C₂²	1	1	yes	characteristic
104	C₆₁×#481	C₂²	1	1	yes	characteristic, complemented
105	C₆₁×#480	C₂²	1	1	yes	characteristic
106	C₆₁×#480	C₂²	1	1	yes	characteristic
107	C₆₁×#480	C₂²	1	1	yes	characteristic
108	C₆₁×#480	C₂²	1	1	yes	characteristic, complemented
109	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
110	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
111	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
112	C₆₁×#479	C₂²	1	1	yes	characteristic, complemented
113	C₆₁×#478	C₂²	1	1	yes	characteristic
114	C₆₁×#478	C₂²	1	1	yes	characteristic
115	C₆₁×#478	C₂²	1	1	yes	characteristic
116	C₆₁×#478	C₂²	1	1	yes	characteristic
117	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
118	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
119	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
120	C₆₁×#478	C₂²	1	1	yes	characteristic, complemented
121	C₆₁×#477	C₂²	1	1	yes	characteristic, complemented
122	C₆₁×#476	C₂²	1	1	yes	characteristic, complemented
123	C₆₁×#475	C₂²	1	1	yes	characteristic, complemented
124	C₆₁×#474	C₂²	1	1	yes	characteristic, complemented
125	C₆₁×#470	C₂²	1	1	yes	characteristic, complemented
126	C₆₁×#469	C₂²	1	1	yes	characteristic
127	C₆₁×#469	C₂²	1	1	yes	characteristic
128	C₆₁×#469	C₂²	1	1	yes	characteristic, complemented
129	C₆₁×#468	C₂²	1	1	yes	characteristic
130	C₆₁×#468	C₂²	1	1	yes	characteristic
131	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
132	C₆₁×#468	C₂²	1	1	yes	characteristic, complemented
133	C₆₁×#467	C₂²	1	1	yes	characteristic, complemented
134	C₆₁×#466	C₂²	1	1	yes	characteristic
135	C₆₁×#466	C₂²	1	1	yes	characteristic
136	C₆₁×#466	C₂²	1	1	yes	characteristic, complemented
137	C₆₁×#465	C₂²	1	1	yes	characteristic
138	C₆₁×#465	C₂²	1	1	yes	characteristic
139	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
140	C₆₁×#465	C₂²	1	1	yes	characteristic, complemented
141	C₆₁×#464	C₂²	1	1	yes	characteristic
142	C₆₁×#464	C₂²	1	1	yes	characteristic
143	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
144	C₆₁×#464	C₂²	1	1	yes	characteristic, complemented
145	C₆₁×#463	C₂²	1	1	yes	characteristic
146	C₆₁×#463	C₂²	1	1	yes	characteristic
147	C₆₁×#463	C₂²	1	1	yes	characteristic
148	C₆₁×#463	C₂²	1	1	yes	characteristic
149	C₆₁×#463	C₂²	1	1	yes	characteristic
150	C₆₁×#463	C₂²	1	1	yes	characteristic
151	C₆₁×#463	C₂²	1	1	yes	characteristic, complemented
152	C₆₁×#463	C₂²	1	1	yes	characteristic, complemented
153	C₆₁×#460	C₂²	1	1	yes	characteristic
154	C₆₁×#460	C₂²	1	1	yes	characteristic
155	C₆₁×#459	C₂²	1	1	yes	characteristic
156	C₆₁×#459	C₂²	1	1	yes	characteristic
157	C₆₁×#452	C₂²	1	1	yes	characteristic
158	C₆₁×#452	C₂²	1	1	yes	characteristic
159	C₆₁×#452	C₂²	1	1	yes	characteristic, complemented
160	C₆₁×#452	C₂²	1	1	yes	characteristic, complemented
161	C₆₁×#450	C₂²	1	1	yes	characteristic
162	C₆₁×#450	C₂²	1	1	yes	characteristic
163	C₆₁×#449	C₂²	1	1	yes	characteristic
164	C₆₁×#449	C₂²	1	1	yes	characteristic
165	C₆₁×#449	C₂²	1	1	yes	characteristic
166	C₆₁×#449	C₂²	1	1	yes	characteristic
167	C₆₁×#449	C₂²	1	1	yes	characteristic
168	C₆₁×#449	C₂²	1	1	yes	characteristic
169	C₆₁×#449	C₂²	1	1	yes	characteristic, complemented
170	C₆₁×#449	C₂²	1	1	yes	characteristic, complemented
171	C₆₁×#447	C₂²	1	1	yes	characteristic
172	C₆₁×#447	C₂²	1	1	yes	characteristic
173	C₆₁×#442	C₂²	1	1	yes	characteristic
174	C₆₁×#442	C₂²	1	1	yes	characteristic
175	C₆₁×#442	C₂²	1	1	yes	characteristic, complemented
176	C₆₁×#441	C₂²	1	1	yes	characteristic, complemented
177	C₆₁×#440	C₂²	1	1	yes	characteristic
178	C₆₁×#440	C₂²	1	1	yes	characteristic
179	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
180	C₆₁×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
183	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic
184	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
185	C₄×SD₁₆×C₆₁	C₂²	1	1	yes	characteristic, complemented
186	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
187	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic
188	C₄×D₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
189	C₆₁×#433	C₂²	1	1	yes	characteristic
190	C₆₁×#433	C₂²	1	1	yes	characteristic
191	C₆₁×#433	C₂²	1	1	yes	characteristic, complemented
192	C₆₁×#433	C₂²	1	1	yes	characteristic, complemented
193	C₆₁×#432	C₂²	1	1	yes	characteristic
194	C₆₁×#432	C₂²	1	1	yes	characteristic, complemented
195	C₆₁×#431	C₂²	1	1	yes	characteristic
196	C₆₁×#431	C₂²	1	1	yes	characteristic, complemented
197	C₆₁×#423	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄⋊C₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
199	C₆₁×#408	C₂²	1	1	yes	characteristic
200	C₆₁×#408	C₂²	1	1	yes	characteristic
201	C₆₁×#405	C₂²	1	1	yes	characteristic, complemented
202	C₆₁×#405	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₆₁	—	2	1	no	—
204	C₂×#41×C₆₁	—	2	1	no	—
205	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
206	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
207	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
208	C₂×#41×C₆₁	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₆₁	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₆₁	—	2	1	no	—
211	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₆₁	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₆₁	C₂³	1	1	yes	characteristic
221	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
222	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
224	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₆₁	C₂³	1	1	yes	characteristic
227	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₆₁	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₆₁	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₆₁	—	2	1	no	—
232	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
235	#127×C₆₁	—	2	1	no	—
236	#127×C₆₁	C₂³	1	1	yes	characteristic
237	#127×C₆₁	C₂³	1	1	yes	characteristic
238	#127×C₆₁	C₂³	1	1	yes	characteristic
239	#126×C₆₁	—	2	1	no	—
240	#126×C₆₁	—	2	1	no	—
241	#126×C₆₁	—	2	1	no	—
242	#126×C₆₁	—	2	1	no	—
243	#126×C₆₁	—	2	1	no	—
244	#126×C₆₁	—	2	1	no	—
245	#126×C₆₁	—	2	1	no	—
246	#126×C₆₁	—	2	1	no	—
247	#126×C₆₁	—	2	1	no	—
248	#126×C₆₁	—	2	1	no	—
249	#126×C₆₁	—	2	1	no	—
250	#126×C₆₁	—	2	1	no	—
251	#125×C₆₁	—	2	1	no	—
252	#125×C₆₁	—	2	1	no	—
253	#125×C₆₁	—	2	1	no	—
254	#125×C₆₁	—	2	1	no	—
255	#125×C₆₁	—	2	1	no	—
256	#125×C₆₁	—	2	1	no	—
257	#125×C₆₁	—	2	1	no	—
258	#125×C₆₁	C₂³	1	1	yes	characteristic
259	#125×C₆₁	C₂³	1	1	yes	characteristic
260	#125×C₆₁	C₂³	1	1	yes	characteristic
261	#125×C₆₁	C₂³	1	1	yes	characteristic
262	#125×C₆₁	C₂³	1	1	yes	characteristic
263	#125×C₆₁	C₂³	1	1	yes	characteristic
264	#124×C₆₁	—	2	1	no	—
265	#124×C₆₁	—	2	1	no	—
266	#124×C₆₁	—	2	1	no	—
267	#124×C₆₁	—	2	1	no	—
268	#124×C₆₁	—	2	1	no	—
269	#124×C₆₁	C₂³	1	1	yes	characteristic
270	#124×C₆₁	C₂³	1	1	yes	characteristic
271	#124×C₆₁	C₂³	1	1	yes	characteristic
272	#124×C₆₁	C₂³	1	1	yes	characteristic
273	#123×C₆₁	—	2	1	no	—
274	#123×C₆₁	—	2	1	no	—
275	#123×C₆₁	—	2	1	no	—
276	#123×C₆₁	—	2	1	no	—
277	#123×C₆₁	—	2	1	no	—
278	#123×C₆₁	—	2	1	no	—
279	#123×C₆₁	—	2	1	no	—
280	#123×C₆₁	—	2	1	no	—
281	#123×C₆₁	—	2	1	no	—
282	#123×C₆₁	—	2	1	no	—
283	#123×C₆₁	—	2	1	no	—
284	#123×C₆₁	—	2	1	no	—
285	#123×C₆₁	—	2	1	no	—
286	#123×C₆₁	—	2	1	no	—
287	#123×C₆₁	—	2	1	no	—
288	#123×C₆₁	—	2	1	no	—
289	C₂²⋊Q₈×C₆₁	—	2	1	no	—
290	C₂²⋊Q₈×C₆₁	—	2	1	no	—
291	C₂²⋊Q₈×C₆₁	—	2	1	no	—
292	C₂²⋊Q₈×C₆₁	—	2	1	no	—
293	C₂²⋊Q₈×C₆₁	—	2	1	no	—
294	C₂²⋊Q₈×C₆₁	—	2	1	no	—
295	C₂²⋊Q₈×C₆₁	—	2	1	no	—
296	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
297	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
298	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
299	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
300	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
301	C₂²⋊Q₈×C₆₁	C₂³	1	1	yes	characteristic
302	#121×C₆₁	—	2	1	no	—
303	#121×C₆₁	—	2	1	no	—
304	#121×C₆₁	—	2	1	no	—
305	#121×C₆₁	—	2	1	no	—
306	#121×C₆₁	—	2	1	no	—
307	#121×C₆₁	—	2	1	no	—
308	#121×C₆₁	—	2	1	no	—
309	#121×C₆₁	—	2	1	no	—
310	#121×C₆₁	—	2	1	no	—
311	#121×C₆₁	—	2	1	no	—
312	#121×C₆₁	—	2	1	no	—
313	#121×C₆₁	—	2	1	no	—
314	#121×C₆₁	—	2	1	no	—
315	#121×C₆₁	—	2	1	no	—
316	#121×C₆₁	—	2	1	no	—
317	#121×C₆₁	—	2	1	no	—
318	#121×C₆₁	—	2	1	no	—
319	#121×C₆₁	—	2	1	no	—
320	#121×C₆₁	—	2	1	no	—
321	#121×C₆₁	—	2	1	no	—
322	#121×C₆₁	—	2	1	no	—
323	#121×C₆₁	—	2	1	no	—
324	#121×C₆₁	—	2	1	no	—
325	#121×C₆₁	C₂³	1	1	yes	characteristic
326	#121×C₆₁	C₂³	1	1	yes	characteristic
327	#121×C₆₁	C₂³	1	1	yes	characteristic
328	#121×C₆₁	C₂³	1	1	yes	characteristic
329	#121×C₆₁	C₂³	1	1	yes	characteristic
330	#121×C₆₁	C₂³	1	1	yes	characteristic
331	#121×C₆₁	C₂³	1	1	yes	characteristic
332	#121×C₆₁	C₂³	1	1	yes	characteristic
333	#121×C₆₁	C₂³	1	1	yes	characteristic
334	#121×C₆₁	C₂³	1	1	yes	characteristic
335	#120×C₆₁	—	2	1	no	—
336	#120×C₆₁	—	2	1	no	—
337	#120×C₆₁	—	2	1	no	—
338	#120×C₆₁	—	2	1	no	—
339	C₄×Q₈×C₆₁	D₄	1	1	yes	characteristic
340	C₄×Q₈×C₆₁	D₄	1	1	yes	characteristic
341	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₆₁	C₂³	1	1	yes	characteristic
347	C₄×D₄×C₆₁	—	2	1	no	—
348	C₄×D₄×C₆₁	—	2	1	no	—
349	C₄×D₄×C₆₁	—	2	1	no	—
350	C₄×D₄×C₆₁	—	2	1	no	—
351	C₄×D₄×C₆₁	—	2	1	no	—
352	C₄×D₄×C₆₁	—	2	1	no	—
353	C₄×D₄×C₆₁	—	2	1	no	—
354	C₄×D₄×C₆₁	—	2	1	no	—
355	C₄×D₄×C₆₁	—	2	1	no	—
356	C₄×D₄×C₆₁	—	2	1	no	—
357	C₄×D₄×C₆₁	—	2	1	no	—
358	C₄×D₄×C₆₁	—	2	1	no	—
359	C₄×D₄×C₆₁	—	2	1	no	—
360	C₄×D₄×C₆₁	—	2	1	no	—
361	C₄×D₄×C₆₁	—	2	1	no	—
362	C₄×D₄×C₆₁	—	2	1	no	—
363	C₄×D₄×C₆₁	—	2	1	no	—
364	C₄×D₄×C₆₁	—	2	1	no	—
365	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
366	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
367	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
368	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
369	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
370	C₄×D₄×C₆₁	D₄	1	1	yes	characteristic
371	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₆₁	C₂³	1	1	yes	characteristic
381	#117×C₆₁	—	2	1	no	—
382	#117×C₆₁	—	2	1	no	—
383	#117×C₆₁	—	2	1	no	—
384	#117×C₆₁	—	2	1	no	—
385	#117×C₆₁	—	2	1	no	—
386	#117×C₆₁	—	2	1	no	—
387	#117×C₆₁	—	2	1	no	—
388	#117×C₆₁	—	2	1	no	—
389	#117×C₆₁	—	2	1	no	—
390	#117×C₆₁	C₂³	1	1	yes	characteristic
391	#117×C₆₁	C₂³	1	1	yes	characteristic
392	#117×C₆₁	C₂³	1	1	yes	characteristic
393	#117×C₆₁	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
395	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
396	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
397	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
398	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
401	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
402	C₂×C₄²×C₆₁	—	2	1	no	—
403	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
404	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
406	#107×C₆₁	C₂³	1	1	yes	characteristic
407	#107×C₆₁	C₂³	1	1	yes	characteristic
408	#107×C₆₁	C₂³	1	1	yes	characteristic
409	#107×C₆₁	C₂³	1	1	yes	characteristic
410	#107×C₆₁	C₂³	1	1	yes	characteristic
411	#107×C₆₁	C₂³	1	1	yes	characteristic
412	#107×C₆₁	C₂³	1	1	yes	characteristic
413	#107×C₆₁	C₂³	1	1	yes	characteristic
414	#106×C₆₁	C₂³	1	1	yes	characteristic
415	#106×C₆₁	C₂³	1	1	yes	characteristic
416	#106×C₆₁	C₂³	1	1	yes	characteristic
417	#106×C₆₁	C₂³	1	1	yes	characteristic
418	#106×C₆₁	C₂³	1	1	yes	characteristic
419	#106×C₆₁	C₂³	1	1	yes	characteristic
420	#106×C₆₁	C₂³	1	1	yes	characteristic
421	#106×C₆₁	C₂³	1	1	yes	characteristic
422	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
423	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
430	#103×C₆₁	C₂³	1	1	yes	characteristic
431	#103×C₆₁	C₂³	1	1	yes	characteristic
432	#103×C₆₁	C₂³	1	1	yes	characteristic
433	#103×C₆₁	C₂³	1	1	yes	characteristic
434	#103×C₆₁	C₂³	1	1	yes	characteristic
435	#103×C₆₁	C₂³	1	1	yes	characteristic
436	#103×C₆₁	C₂³	1	1	yes	characteristic
437	#103×C₆₁	C₂³	1	1	yes	characteristic
438	#103×C₆₁	C₂³	1	1	yes	characteristic
439	#103×C₆₁	C₂³	1	1	yes	characteristic
440	#103×C₆₁	C₂³	1	1	yes	characteristic
441	#103×C₆₁	C₂³	1	1	yes	characteristic
442	#102×C₆₁	C₂³	1	1	yes	characteristic
443	#102×C₆₁	C₂³	1	1	yes	characteristic
444	#102×C₆₁	C₂³	1	1	yes	characteristic
445	#102×C₆₁	C₂³	1	1	yes	characteristic
446	#102×C₆₁	C₂³	1	1	yes	characteristic
447	#102×C₆₁	C₂³	1	1	yes	characteristic
448	#102×C₆₁	C₂³	1	1	yes	characteristic
449	#102×C₆₁	C₂³	1	1	yes	characteristic
450	#102×C₆₁	C₂³	1	1	yes	characteristic
451	#102×C₆₁	C₂³	1	1	yes	characteristic
452	#102×C₆₁	C₂³	1	1	yes	characteristic
453	#102×C₆₁	C₂³	1	1	yes	characteristic
454	#102×C₆₁	C₂³	1	1	yes	characteristic
455	#102×C₆₁	C₂³	1	1	yes	characteristic
456	#102×C₆₁	C₂³	1	1	yes	characteristic
457	#102×C₆₁	C₂³	1	1	yes	characteristic
458	#102×C₆₁	C₂³	1	1	yes	characteristic
459	#102×C₆₁	C₂³	1	1	yes	characteristic
460	#102×C₆₁	C₂³	1	1	yes	characteristic
461	#102×C₆₁	C₂³	1	1	yes	characteristic
462	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₆₁	C₂³	1	1	yes	characteristic
470	#97×C₆₁	C₂³	1	1	yes	characteristic
471	#97×C₆₁	C₂³	1	1	yes	characteristic
472	#97×C₆₁	C₂³	1	1	yes	characteristic
473	#97×C₆₁	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
478	C₂⁴×C₆₁	—	2	1	no	—
479	#41×C₆₁	—	4	1	no	—
480	#41×C₆₁	—	4	1	no	—
481	#41×C₆₁	—	4	1	no	—
482	#41×C₆₁	—	4	1	no	—
483	#41×C₆₁	—	4	1	no	—
484	#41×C₆₁	—	4	1	no	—
485	#41×C₆₁	—	4	1	no	—
486	#41×C₆₁	—	4	1	no	—
487	#41×C₆₁	—	8	2	no	—
488	#41×C₆₁	—	8	2	no	—
489	C₂×Q₈×C₆₁	—	2	1	no	—
490	C₂×Q₈×C₆₁	—	2	1	no	—
491	C₂×Q₈×C₆₁	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₆₁	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₆₁	—	2	1	no	—
496	C₂×D₄×C₆₁	—	2	1	no	—
497	C₂×D₄×C₆₁	—	2	1	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	—	2	1	no	—
508	C₂×D₄×C₆₁	—	2	1	no	—
509	C₂×D₄×C₆₁	—	2	1	no	—
510	C₂×D₄×C₆₁	—	2	1	no	—
511	C₂×D₄×C₆₁	—	2	1	no	—
512	C₂×D₄×C₆₁	—	2	1	no	—
513	C₂×D₄×C₆₁	—	2	1	no	—
514	C₂×D₄×C₆₁	—	2	1	no	—
515	C₂×D₄×C₆₁	—	4	1	no	—
516	C₂×D₄×C₆₁	—	4	1	no	—
517	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₆₁	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₆₁	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₆₁	—	2	1	no	—
526	C₂²×C₄×C₆₁	—	2	1	no	—
527	C₂²×C₄×C₆₁	—	2	1	no	—
528	C₂²×C₄×C₆₁	—	2	1	no	—
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	—	8	2	no	—
542	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
551	Q₁₆×C₆₁	—	4	1	no	—
552	Q₁₆×C₆₁	—	4	1	no	—
553	SD₁₆×C₆₁	—	4	1	no	—
554	SD₁₆×C₆₁	—	4	1	no	—
555	SD₁₆×C₆₁	—	4	1	no	—
556	SD₁₆×C₆₁	—	4	1	no	—
557	SD₁₆×C₆₁	—	4	1	no	—
558	SD₁₆×C₆₁	—	4	1	no	—
559	SD₁₆×C₆₁	—	4	1	no	—
560	SD₁₆×C₆₁	—	4	1	no	—
561	D₈×C₆₁	—	4	1	no	—
562	D₈×C₆₁	—	4	1	no	—
563	D₈×C₆₁	—	4	1	no	—
564	D₈×C₆₁	—	4	1	no	—
565	D₈×C₆₁	—	4	1	no	—
566	D₈×C₆₁	—	4	1	no	—
567	M₁₆×C₆₁	—	4	1	no	—
568	M₁₆×C₆₁	—	4	1	no	—
569	C₂×C₈×C₆₁	—	4	1	no	—
570	C₂×C₈×C₆₁	—	4	1	no	—
571	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
576	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
579	C₄⋊C₄×C₆₁	—	2	1	no	—
580	C₄⋊C₄×C₆₁	—	2	1	no	—
581	C₄⋊C₄×C₆₁	—	2	1	no	—
582	C₄⋊C₄×C₆₁	—	2	1	no	—
583	C₄⋊C₄×C₆₁	—	2	1	no	—
584	C₄⋊C₄×C₆₁	—	2	1	no	—
585	C₄⋊C₄×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₆₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
632	C₂²⋊C₄×C₆₁	—	2	1	no	—
633	C₂²⋊C₄×C₆₁	—	2	1	no	—
634	C₂²⋊C₄×C₆₁	—	2	1	no	—
635	C₂²⋊C₄×C₆₁	—	2	1	no	—
636	C₂²⋊C₄×C₆₁	—	2	1	no	—
637	C₂²⋊C₄×C₆₁	—	2	1	no	—
638	C₂²⋊C₄×C₆₁	—	2	1	no	—
639	C₂²⋊C₄×C₆₁	—	2	1	no	—
640	C₂²⋊C₄×C₆₁	—	2	1	no	—
641	C₂²⋊C₄×C₆₁	—	2	1	no	—
642	C₂²⋊C₄×C₆₁	—	2	1	no	—
643	C₂²⋊C₄×C₆₁	—	2	1	no	—
644	C₂²⋊C₄×C₆₁	—	2	1	no	—
645	C₂²⋊C₄×C₆₁	—	2	1	no	—
646	C₂²⋊C₄×C₆₁	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₆₁	—	2	1	no	—
666	C₄²×C₆₁	—	2	1	no	—
667	C₄²×C₆₁	—	2	1	no	—
668	C₄²×C₆₁	—	2	1	no	—
669	C₄²×C₆₁	—	2	1	no	—
670	C₄²×C₆₁	—	2	1	no	—
671	C₄²×C₆₁	—	2	1	no	—
672	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
674	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
679	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
680	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
681	C₄²×C₆₁	C₂⁴	1	1	yes	characteristic
682	C₂³×C₆₁	—	2	1	no	—
683	C₂³×C₆₁	—	2	1	no	—
684	C₂³×C₆₁	—	2	1	no	—
685	C₂³×C₆₁	—	2	1	no	—
686	C₂³×C₆₁	—	2	1	no	—
687	C₂³×C₆₁	—	4	2	no	—
688	C₂³×C₆₁	—	8	1	no	—
689	C₂³×C₆₁	—	8	1	no	—
690	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
691	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
692	C₂³×C₆₁	C₂²×D₄	1	1	yes	characteristic
693	Q₈×C₆₁	—	2	1	no	—
694	Q₈×C₆₁	—	2	1	no	—
695	Q₈×C₆₁	—	2	1	no	—
696	Q₈×C₆₁	—	2	1	no	—
697	Q₈×C₆₁	—	2	1	no	—
698	Q₈×C₆₁	—	2	1	no	—
699	Q₈×C₆₁	—	4	1	no	—
700	Q₈×C₆₁	—	8	1	no	—
701	Q₈×C₆₁	—	8	1	no	—
702	D₄×C₆₁	—	2	1	no	—
703	D₄×C₆₁	—	2	1	no	—
704	D₄×C₆₁	—	2	1	no	—
705	D₄×C₆₁	—	2	1	no	—
706	D₄×C₆₁	—	2	1	no	—
707	D₄×C₆₁	—	2	1	no	—
708	D₄×C₆₁	—	2	1	no	—
709	D₄×C₆₁	—	2	1	no	—
710	D₄×C₆₁	—	2	1	no	—
711	D₄×C₆₁	—	2	1	no	—
712	D₄×C₆₁	—	4	1	no	—
713	D₄×C₆₁	—	4	1	no	—
714	D₄×C₆₁	—	4	1	no	—
715	D₄×C₆₁	—	4	2	no	—
716	D₄×C₆₁	—	4	2	no	—
717	D₄×C₆₁	—	4	2	no	—
718	D₄×C₆₁	—	4	2	no	—
719	D₄×C₆₁	—	8	1	no	—
720	D₄×C₆₁	—	8	1	no	—
721	D₄×C₆₁	—	8	1	no	—
722	D₄×C₆₁	—	8	1	no	—
723	D₄×C₆₁	—	8	1	no	—
724	D₄×C₆₁	—	8	1	no	—
725	D₄×C₆₁	—	8	1	no	—
726	D₄×C₆₁	—	8	1	no	—
727	D₄×C₆₁	—	8	1	no	—
728	D₄×C₆₁	—	8	1	no	—
729	D₄×C₆₁	—	8	1	no	—
730	D₄×C₆₁	—	8	1	no	—
731	D₄×C₆₁	—	8	1	no	—
732	D₄×C₆₁	—	8	1	no	—
733	D₄×C₆₁	—	8	1	no	—
734	D₄×C₆₁	—	8	1	no	—
735	C₂×C₄×C₆₁	—	2	1	no	—
736	C₂×C₄×C₆₁	—	2	1	no	—
737	C₂×C₄×C₆₁	—	2	1	no	—
738	C₂×C₄×C₆₁	—	2	1	no	—
739	C₂×C₄×C₆₁	—	2	1	no	—
740	C₂×C₄×C₆₁	—	2	1	no	—
741	C₂×C₄×C₆₁	—	2	1	no	—
742	C₂×C₄×C₆₁	—	2	1	no	—
743	C₂×C₄×C₆₁	—	2	1	no	—
744	C₂×C₄×C₆₁	—	2	1	no	—
745	C₂×C₄×C₆₁	—	2	1	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	—	4	1	no	—
753	C₂×C₄×C₆₁	—	4	1	no	—
754	C₂×C₄×C₆₁	—	4	1	no	—
755	C₂×C₄×C₆₁	—	4	1	no	—
756	C₂×C₄×C₆₁	—	4	1	no	—
757	C₂×C₄×C₆₁	—	4	1	no	—
758	C₂×C₄×C₆₁	—	4	2	no	—
759	C₂×C₄×C₆₁	—	4	2	no	—
760	C₂×C₄×C₆₁	—	4	2	no	—
761	C₂×C₄×C₆₁	—	4	2	no	—
762	C₂×C₄×C₆₁	—	4	2	no	—
763	C₂×C₄×C₆₁	—	4	2	no	—
764	C₂×C₄×C₆₁	—	8	1	no	—
765	C₂×C₄×C₆₁	—	8	1	no	—
766	C₂×C₄×C₆₁	—	8	1	no	—
767	C₂×C₄×C₆₁	—	8	1	no	—
768	C₂×C₄×C₆₁	—	8	1	no	—
769	C₂×C₄×C₆₁	—	8	1	no	—
770	C₂×C₄×C₆₁	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
786	C₈×C₆₁	—	2	1	no	—
787	C₈×C₆₁	—	2	1	no	—
788	C₈×C₆₁	—	2	1	no	—
789	C₈×C₆₁	—	2	1	no	—
790	C₈×C₆₁	—	2	1	no	—
791	C₈×C₆₁	—	2	1	no	—
792	C₈×C₆₁	—	2	1	no	—
793	C₈×C₆₁	—	2	1	no	—
794	#60997	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
795	C₂²×C₆₁	—	2	1	no	—
796	C₂²×C₆₁	—	2	1	no	—
797	C₂²×C₆₁	—	2	1	no	—
798	C₂²×C₆₁	—	2	1	no	—
799	C₂²×C₆₁	—	2	1	no	—
800	C₂²×C₆₁	—	2	1	no	—
801	C₂²×C₆₁	—	2	1	no	—
802	C₂²×C₆₁	—	2	1	no	—
803	C₂²×C₆₁	—	2	1	no	—
804	C₂²×C₆₁	—	4	1	no	—
805	C₂²×C₆₁	—	4	1	no	—
806	C₂²×C₆₁	—	4	1	no	—
807	C₂²×C₆₁	—	4	1	no	—
808	C₂²×C₆₁	—	4	1	no	—
809	C₂²×C₆₁	—	4	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	—	4	1	no	—
817	C₂²×C₆₁	—	4	1	no	—
818	C₂²×C₆₁	—	4	1	no	—
819	C₂²×C₆₁	—	8	4	no	—
820	C₂²×C₆₁	C₂³×D₄	1	1	yes	characteristic
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	1	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	—	2	1	no	—
831	C₄×C₆₁	—	2	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	#585	1	1	yes	characteristic
844	C₄×C₆₁	#585	1	1	yes	characteristic
845	#3512	C₂×C₆₁	1	1	yes	characteristic, complemented
846	#3460	C₂×C₆₁	1	1	yes	characteristic, complemented
847	#3256	C₂×C₆₁	1	1	yes	characteristic, complemented
848	#3251	C₂×C₆₁	1	1	yes	characteristic, complemented
849	#3250	C₂×C₆₁	1	1	yes	characteristic, complemented
850	#3247	C₂×C₆₁	1	1	yes	characteristic, complemented
851	#3242	C₂×C₆₁	1	1	yes	characteristic, complemented
852	#3241	C₂×C₆₁	1	1	yes	characteristic, complemented
853	#3234	C₂×C₆₁	1	1	yes	characteristic, complemented
854	#3232	C₂×C₆₁	1	1	yes	characteristic, complemented
855	#3222	C₂×C₆₁	1	1	yes	characteristic, complemented
856	#3220	C₂×C₆₁	1	1	yes	characteristic, complemented
857	#3219	C₂×C₆₁	1	1	yes	characteristic, complemented
858	#3207	C₂×C₆₁	1	1	yes	characteristic, complemented
859	#3204	C₂×C₆₁	1	1	yes	characteristic, complemented
860	#3203	C₂×C₆₁	1	1	yes	characteristic, complemented
861	#3198	C₂×C₆₁	1	1	yes	characteristic, complemented
862	#3198	C₂×C₆₁	1	1	yes	characteristic, complemented
863	#3179	C₂×C₆₁	1	1	yes	characteristic, complemented
864	#3178	C₂×C₆₁	1	1	yes	characteristic, complemented
865	#3176	C₂×C₆₁	1	1	yes	characteristic, complemented
866	#3174	C₂×C₆₁	1	1	yes	characteristic, complemented
867	#3125	C₂×C₆₁	1	1	yes	characteristic, complemented
868	#3124	C₂×C₆₁	1	1	yes	characteristic, complemented
869	#3119	C₂×C₆₁	1	1	yes	characteristic, complemented
870	#3119	C₂×C₆₁	1	1	yes	characteristic, complemented
871	#3114	C₂×C₆₁	1	1	yes	characteristic, complemented
872	#3111	C₂×C₆₁	1	1	yes	characteristic, complemented
873	#3105	C₂×C₆₁	1	1	yes	characteristic, complemented
874	#3102	C₂×C₆₁	1	1	yes	characteristic, complemented
875	#2925	C₂×C₆₁	1	1	yes	characteristic, complemented
876	C₂×C₆₁	—	4	1	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	—	8	1	no	—
882	C₂×C₆₁	—	8	1	no	—
883	C₂×C₆₁	—	8	1	no	—
884	C₂×C₆₁	#3449	1	1	yes	characteristic
885	C₂×C₆₁	#3584	1	1	yes	characteristic
886	C₂×C₆₁	#3585	1	1	yes	characteristic
887	#553	—	2	1	no	—
888	#553	—	2	1	no	—
889	#553	—	2	1	no	—
890	#553	—	2	1	no	—
891	#553	—	2	1	no	—
892	#553	—	2	1	no	—
893	#552	—	2	1	no	—
894	#552	—	2	1	no	—
895	#544	C₂²×C₆₁	1	1	yes	characteristic
896	#542	—	2	1	no	—
897	#542	C₂²×C₆₁	1	1	yes	characteristic
898	#542	C₂²×C₆₁	1	1	yes	characteristic
899	#541	C₂²×C₆₁	1	1	yes	characteristic
900	#541	C₂²×C₆₁	1	1	yes	characteristic, complemented
901	#540	—	2	1	no	—
902	#540	C₂²×C₆₁	1	1	yes	characteristic
903	#540	C₂²×C₆₁	1	1	yes	characteristic
904	#540	C₂²×C₆₁	1	1	yes	characteristic
905	#540	C₂²×C₆₁	1	1	yes	characteristic, complemented
906	#538	—	2	1	no	—
907	#538	—	2	1	no	—
908	#537	C₂²×C₆₁	1	1	yes	characteristic
909	#537	C₂²×C₆₁	1	1	yes	characteristic
910	#537	C₂²×C₆₁	1	1	yes	characteristic
911	#535	C₂²×C₆₁	1	1	yes	characteristic
912	#535	C₂²×C₆₁	1	1	yes	characteristic
913	#532	—	2	1	no	—
914	#532	C₂²×C₆₁	1	1	yes	characteristic
915	#532	C₂²×C₆₁	1	1	yes	characteristic
916	#532	C₂²×C₆₁	1	1	yes	characteristic, complemented
917	#529	—	2	1	no	—
918	#529	C₂²×C₆₁	1	1	yes	characteristic
919	#529	C₂²×C₆₁	1	1	yes	characteristic
920	#529	C₂²×C₆₁	1	1	yes	characteristic
921	#529	C₂²×C₆₁	1	1	yes	characteristic
922	#529	C₂²×C₆₁	1	1	yes	characteristic, complemented
923	#529	C₂²×C₆₁	1	1	yes	characteristic, complemented
924	C₂×#125	C₂²×C₆₁	1	1	yes	characteristic, complemented
925	#525	—	2	1	no	—
926	#525	—	2	1	no	—
927	#520	C₂²×C₆₁	1	1	yes	characteristic, complemented
928	#520	C₂²×C₆₁	1	1	yes	characteristic, complemented
929	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
930	C₄×#41	C₂²×C₆₁	1	1	yes	characteristic
931	C₂×C₄×D₄	C₂²×C₆₁	1	1	yes	characteristic
932	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
933	#501	C₂²×C₆₁	1	1	yes	characteristic, complemented
934	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
935	#499	C₂²×C₆₁	1	1	yes	characteristic, complemented
936	#497	C₂²×C₆₁	1	1	yes	characteristic
937	#496	C₂²×C₆₁	1	1	yes	characteristic
938	#493	C₂²×C₆₁	1	1	yes	characteristic
939	#492	C₂²×C₆₁	1	1	yes	characteristic
940	#491	C₂²×C₆₁	1	1	yes	characteristic, complemented
941	#490	C₂²×C₆₁	1	1	yes	characteristic
942	#490	C₂²×C₆₁	1	1	yes	characteristic
943	#490	C₂²×C₆₁	1	1	yes	characteristic, complemented
944	#488	C₂²×C₆₁	1	1	yes	characteristic
945	#488	C₂²×C₆₁	1	1	yes	characteristic
946	#487	C₂²×C₆₁	1	1	yes	characteristic, complemented
947	#486	C₂²×C₆₁	1	1	yes	characteristic, complemented
948	#485	C₂²×C₆₁	1	1	yes	characteristic
949	#485	C₂²×C₆₁	1	1	yes	characteristic
950	#484	C₂²×C₆₁	1	1	yes	characteristic
951	#484	C₂²×C₆₁	1	1	yes	characteristic, complemented
952	#483	C₂²×C₆₁	1	1	yes	characteristic
953	#483	C₂²×C₆₁	1	1	yes	characteristic, complemented
954	#482	C₂²×C₆₁	1	1	yes	characteristic
955	#482	C₂²×C₆₁	1	1	yes	characteristic
956	#481	C₂²×C₆₁	1	1	yes	characteristic
957	#481	C₂²×C₆₁	1	1	yes	characteristic
958	#481	C₂²×C₆₁	1	1	yes	characteristic
959	#481	C₂²×C₆₁	1	1	yes	characteristic, complemented
960	#480	C₂²×C₆₁	1	1	yes	characteristic
961	#480	C₂²×C₆₁	1	1	yes	characteristic
962	#480	C₂²×C₆₁	1	1	yes	characteristic
963	#480	C₂²×C₆₁	1	1	yes	characteristic, complemented
964	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
965	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
966	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
967	#479	C₂²×C₆₁	1	1	yes	characteristic, complemented
968	#478	C₂²×C₆₁	1	1	yes	characteristic
969	#478	C₂²×C₆₁	1	1	yes	characteristic
970	#478	C₂²×C₆₁	1	1	yes	characteristic
971	#478	C₂²×C₆₁	1	1	yes	characteristic
972	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
973	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
974	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
975	#478	C₂²×C₆₁	1	1	yes	characteristic, complemented
976	#477	C₂²×C₆₁	1	1	yes	characteristic, complemented
977	#476	C₂²×C₆₁	1	1	yes	characteristic, complemented
978	#475	C₂²×C₆₁	1	1	yes	characteristic, complemented
979	#474	C₂²×C₆₁	1	1	yes	characteristic, complemented
980	#470	C₂²×C₆₁	1	1	yes	characteristic, complemented
981	#469	C₂²×C₆₁	1	1	yes	characteristic
982	#469	C₂²×C₆₁	1	1	yes	characteristic
983	#469	C₂²×C₆₁	1	1	yes	characteristic, complemented
984	#468	C₂²×C₆₁	1	1	yes	characteristic
985	#468	C₂²×C₆₁	1	1	yes	characteristic
986	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
987	#468	C₂²×C₆₁	1	1	yes	characteristic, complemented
988	#467	C₂²×C₆₁	1	1	yes	characteristic, complemented
989	#466	C₂²×C₆₁	1	1	yes	characteristic
990	#466	C₂²×C₆₁	1	1	yes	characteristic
991	#466	C₂²×C₆₁	1	1	yes	characteristic, complemented
992	#465	C₂²×C₆₁	1	1	yes	characteristic
993	#465	C₂²×C₆₁	1	1	yes	characteristic
994	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
995	#465	C₂²×C₆₁	1	1	yes	characteristic, complemented
996	#464	C₂²×C₆₁	1	1	yes	characteristic
997	#464	C₂²×C₆₁	1	1	yes	characteristic
998	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
999	#464	C₂²×C₆₁	1	1	yes	characteristic, complemented
1000	#463	C₂²×C₆₁	1	1	yes	characteristic
1001	#463	C₂²×C₆₁	1	1	yes	characteristic
1002	#463	C₂²×C₆₁	1	1	yes	characteristic
1003	#463	C₂²×C₆₁	1	1	yes	characteristic
1004	#463	C₂²×C₆₁	1	1	yes	characteristic
1005	#463	C₂²×C₆₁	1	1	yes	characteristic
1006	#463	C₂²×C₆₁	1	1	yes	characteristic, complemented
1007	#463	C₂²×C₆₁	1	1	yes	characteristic, complemented
1008	#460	C₂²×C₆₁	1	1	yes	characteristic
1009	#460	C₂²×C₆₁	1	1	yes	characteristic
1010	#459	C₂²×C₆₁	1	1	yes	characteristic
1011	#459	C₂²×C₆₁	1	1	yes	characteristic
1012	#452	C₂²×C₆₁	1	1	yes	characteristic
1013	#452	C₂²×C₆₁	1	1	yes	characteristic
1014	#452	C₂²×C₆₁	1	1	yes	characteristic, complemented
1015	#452	C₂²×C₆₁	1	1	yes	characteristic, complemented
1016	#450	C₂²×C₆₁	1	1	yes	characteristic
1017	#450	C₂²×C₆₁	1	1	yes	characteristic
1018	#449	C₂²×C₆₁	1	1	yes	characteristic
1019	#449	C₂²×C₆₁	1	1	yes	characteristic
1020	#449	C₂²×C₆₁	1	1	yes	characteristic
1021	#449	C₂²×C₆₁	1	1	yes	characteristic
1022	#449	C₂²×C₆₁	1	1	yes	characteristic
1023	#449	C₂²×C₆₁	1	1	yes	characteristic
1024	#449	C₂²×C₆₁	1	1	yes	characteristic, complemented
1025	#449	C₂²×C₆₁	1	1	yes	characteristic, complemented
1026	#447	C₂²×C₆₁	1	1	yes	characteristic
1027	#447	C₂²×C₆₁	1	1	yes	characteristic
1028	#442	C₂²×C₆₁	1	1	yes	characteristic
1029	#442	C₂²×C₆₁	1	1	yes	characteristic
1030	#442	C₂²×C₆₁	1	1	yes	characteristic, complemented
1031	#441	C₂²×C₆₁	1	1	yes	characteristic, complemented
1032	#440	C₂²×C₆₁	1	1	yes	characteristic
1033	#440	C₂²×C₆₁	1	1	yes	characteristic
1034	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1035	#440	C₂²×C₆₁	1	1	yes	characteristic, complemented
1036	C₄×Q₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1037	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1038	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic
1039	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1040	C₄×SD₁₆	C₂²×C₆₁	1	1	yes	characteristic, complemented
1041	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1042	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic
1043	C₄×D₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1044	#433	C₂²×C₆₁	1	1	yes	characteristic
1045	#433	C₂²×C₆₁	1	1	yes	characteristic
1046	#433	C₂²×C₆₁	1	1	yes	characteristic, complemented
1047	#433	C₂²×C₆₁	1	1	yes	characteristic, complemented
1048	#432	C₂²×C₆₁	1	1	yes	characteristic
1049	#432	C₂²×C₆₁	1	1	yes	characteristic, complemented
1050	#431	C₂²×C₆₁	1	1	yes	characteristic
1051	#431	C₂²×C₆₁	1	1	yes	characteristic, complemented
1052	#423	C₂²×C₆₁	1	1	yes	characteristic, complemented
1053	C₂×C₄⋊C₈	C₂²×C₆₁	1	1	yes	characteristic, complemented
1054	#408	C₂²×C₆₁	1	1	yes	characteristic
1055	#408	C₂²×C₆₁	1	1	yes	characteristic
1056	#405	C₂²×C₆₁	1	1	yes	characteristic, complemented
1057	#405	C₂²×C₆₁	1	1	yes	characteristic, complemented
1058	C₆₁	#60997	1	1	yes	characteristic, direct product factor, Sylow
1059	C₂×#41	—	2	1	no	—
1060	C₂×#41	—	2	1	no	—
1061	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1062	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1063	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1064	C₂×#41	C₂³×C₆₁	1	1	yes	characteristic
1065	C₂²×D₄	C₂³×C₆₁	1	1	yes	characteristic
1066	C₂³×C₄	—	2	1	no	—
1067	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1068	C₂×Q₁₆	C₂³×C₆₁	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₆₁	1	1	yes	characteristic
1077	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1078	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1079	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1080	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1081	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1082	C₂×D₈	C₂³×C₆₁	1	1	yes	characteristic
1083	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1084	C₂×M₁₆	C₂³×C₆₁	1	1	yes	characteristic
1085	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1086	C₂²×C₈	C₂³×C₆₁	1	1	yes	characteristic
1087	C₄⋊Q₈	—	2	1	no	—
1088	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1089	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1090	C₄⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1091	#127	—	2	1	no	—
1092	#127	C₂³×C₆₁	1	1	yes	characteristic
1093	#127	C₂³×C₆₁	1	1	yes	characteristic
1094	#127	C₂³×C₆₁	1	1	yes	characteristic
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#125	—	2	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	2	1	no	—
1113	#125	—	2	1	no	—
1114	#125	C₂³×C₆₁	1	1	yes	characteristic
1115	#125	C₂³×C₆₁	1	1	yes	characteristic
1116	#125	C₂³×C₆₁	1	1	yes	characteristic
1117	#125	C₂³×C₆₁	1	1	yes	characteristic
1118	#125	C₂³×C₆₁	1	1	yes	characteristic
1119	#125	C₂³×C₆₁	1	1	yes	characteristic
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	—	2	1	no	—
1123	#124	—	2	1	no	—
1124	#124	—	2	1	no	—
1125	#124	C₂³×C₆₁	1	1	yes	characteristic
1126	#124	C₂³×C₆₁	1	1	yes	characteristic
1127	#124	C₂³×C₆₁	1	1	yes	characteristic
1128	#124	C₂³×C₆₁	1	1	yes	characteristic
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1154	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₆₁	1	1	yes	characteristic
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	C₂³×C₆₁	1	1	yes	characteristic
1182	#121	C₂³×C₆₁	1	1	yes	characteristic
1183	#121	C₂³×C₆₁	1	1	yes	characteristic
1184	#121	C₂³×C₆₁	1	1	yes	characteristic
1185	#121	C₂³×C₆₁	1	1	yes	characteristic
1186	#121	C₂³×C₆₁	1	1	yes	characteristic
1187	#121	C₂³×C₆₁	1	1	yes	characteristic
1188	#121	C₂³×C₆₁	1	1	yes	characteristic
1189	#121	C₂³×C₆₁	1	1	yes	characteristic
1190	#121	C₂³×C₆₁	1	1	yes	characteristic
1191	#120	—	2	1	no	—
1192	#120	—	2	1	no	—
1193	#120	—	2	1	no	—
1194	#120	—	2	1	no	—
1195	C₄×Q₈	D₄×C₆₁	1	1	yes	characteristic
1196	C₄×Q₈	D₄×C₆₁	1	1	yes	characteristic
1197	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1198	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1199	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1200	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1201	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1202	C₄×Q₈	C₂³×C₆₁	1	1	yes	characteristic
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1222	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1223	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1224	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1225	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1226	C₄×D₄	D₄×C₆₁	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₆₁	1	1	yes	characteristic
1237	#117	—	2	1	no	—
1238	#117	—	2	1	no	—
1239	#117	—	2	1	no	—
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	—	2	1	no	—
1246	#117	C₂³×C₆₁	1	1	yes	characteristic
1247	#117	C₂³×C₆₁	1	1	yes	characteristic
1248	#117	C₂³×C₆₁	1	1	yes	characteristic
1249	#117	C₂³×C₆₁	1	1	yes	characteristic
1250	C₂×C₄⋊C₄	—	2	1	no	—
1251	C₂×C₄⋊C₄	—	2	1	no	—
1252	C₂×C₄⋊C₄	—	2	1	no	—
1253	C₂×C₄⋊C₄	—	2	1	no	—
1254	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1255	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1256	C₂×C₄⋊C₄	C₂³×C₆₁	1	1	yes	characteristic
1257	C₂×C₂²⋊C₄	—	2	1	no	—
1258	C₂×C₄²	—	2	1	no	—
1259	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1260	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1261	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
1262	#107	C₂³×C₆₁	1	1	yes	characteristic
1263	#107	C₂³×C₆₁	1	1	yes	characteristic
1264	#107	C₂³×C₆₁	1	1	yes	characteristic
1265	#107	C₂³×C₆₁	1	1	yes	characteristic
1266	#107	C₂³×C₆₁	1	1	yes	characteristic
1267	#107	C₂³×C₆₁	1	1	yes	characteristic
1268	#107	C₂³×C₆₁	1	1	yes	characteristic
1269	#107	C₂³×C₆₁	1	1	yes	characteristic
1270	#106	C₂³×C₆₁	1	1	yes	characteristic
1271	#106	C₂³×C₆₁	1	1	yes	characteristic
1272	#106	C₂³×C₆₁	1	1	yes	characteristic
1273	#106	C₂³×C₆₁	1	1	yes	characteristic
1274	#106	C₂³×C₆₁	1	1	yes	characteristic
1275	#106	C₂³×C₆₁	1	1	yes	characteristic
1276	#106	C₂³×C₆₁	1	1	yes	characteristic
1277	#106	C₂³×C₆₁	1	1	yes	characteristic
1278	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1279	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1280	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1281	C₄⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1282	C₄⋊C₈	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	#103	C₂³×C₆₁	1	1	yes	characteristic
1287	#103	C₂³×C₆₁	1	1	yes	characteristic
1288	#103	C₂³×C₆₁	1	1	yes	characteristic
1289	#103	C₂³×C₆₁	1	1	yes	characteristic
1290	#103	C₂³×C₆₁	1	1	yes	characteristic
1291	#103	C₂³×C₆₁	1	1	yes	characteristic
1292	#103	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	#102	C₂³×C₆₁	1	1	yes	characteristic
1299	#102	C₂³×C₆₁	1	1	yes	characteristic
1300	#102	C₂³×C₆₁	1	1	yes	characteristic
1301	#102	C₂³×C₆₁	1	1	yes	characteristic
1302	#102	C₂³×C₆₁	1	1	yes	characteristic
1303	#102	C₂³×C₆₁	1	1	yes	characteristic
1304	#102	C₂³×C₆₁	1	1	yes	characteristic
1305	#102	C₂³×C₆₁	1	1	yes	characteristic
1306	#102	C₂³×C₆₁	1	1	yes	characteristic
1307	#102	C₂³×C₆₁	1	1	yes	characteristic
1308	#102	C₂³×C₆₁	1	1	yes	characteristic
1309	#102	C₂³×C₆₁	1	1	yes	characteristic
1310	#102	C₂³×C₆₁	1	1	yes	characteristic
1311	#102	C₂³×C₆₁	1	1	yes	characteristic
1312	#102	C₂³×C₆₁	1	1	yes	characteristic
1313	#102	C₂³×C₆₁	1	1	yes	characteristic
1314	#102	C₂³×C₆₁	1	1	yes	characteristic
1315	#102	C₂³×C₆₁	1	1	yes	characteristic
1316	#102	C₂³×C₆₁	1	1	yes	characteristic
1317	#102	C₂³×C₆₁	1	1	yes	characteristic
1318	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1319	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1323	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1324	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1325	C₂²⋊C₈	C₂³×C₆₁	1	1	yes	characteristic
1326	#97	C₂³×C₆₁	1	1	yes	characteristic
1327	#97	C₂³×C₆₁	1	1	yes	characteristic
1328	#97	C₂³×C₆₁	1	1	yes	characteristic
1329	#97	C₂³×C₆₁	1	1	yes	characteristic
1330	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1331	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1332	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1333	C₄×C₈	C₂³×C₆₁	1	1	yes	characteristic
1334	C₂⁴	—	2	1	no	—
1335	#41	—	4	1	no	—
1336	#41	—	4	1	no	—
1337	#41	—	4	1	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	#41	—	8	2	no	—
1344	#41	—	8	2	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	C₂×D₄×C₆₁	1	1	yes	characteristic
1348	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1349	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1350	C₂×Q₈	C₂⁴×C₆₁	1	1	yes	characteristic
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	4	1	no	—
1372	C₂×D₄	—	4	1	no	—
1373	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1374	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1375	C₂×D₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1376	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1377	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1378	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1379	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1380	C₂×D₄	C₂⁴×C₆₁	1	1	yes	characteristic
1381	C₂²×C₄	—	2	1	no	—
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	—	2	1	no	—
1397	C₂²×C₄	—	8	2	no	—
1398	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1399	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1400	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1401	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1402	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1403	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1407	Q₁₆	—	4	1	no	—
1408	Q₁₆	—	4	1	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	SD₁₆	—	4	1	no	—
1416	SD₁₆	—	4	1	no	—
1417	D₈	—	4	1	no	—
1418	D₈	—	4	1	no	—
1419	D₈	—	4	1	no	—
1420	D₈	—	4	1	no	—
1421	D₈	—	4	1	no	—
1422	D₈	—	4	1	no	—
1423	M₁₆	—	4	1	no	—
1424	M₁₆	—	4	1	no	—
1425	C₂×C₈	—	4	1	no	—
1426	C₂×C₈	—	4	1	no	—
1427	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₆₁	1	1	yes	characteristic
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	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₆₁	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1470	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1471	C₄⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1474	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1475	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1476	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1478	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1479	C₄⋊C₄	C₂⁴×C₆₁	1	1	yes	characteristic
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
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	—	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	C₂×D₄×C₆₁	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1529	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1530	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1531	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1532	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1533	C₄²	C₂×D₄×C₆₁	1	1	yes	characteristic
1534	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1535	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1536	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1537	C₄²	C₂⁴×C₆₁	1	1	yes	characteristic
1538	C₂³	—	2	1	no	—
1539	C₂³	—	2	1	no	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	4	2	no	—
1544	C₂³	—	8	1	no	—
1545	C₂³	—	8	1	no	—
1546	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1547	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1548	C₂³	C₂²×D₄×C₆₁	1	1	yes	characteristic
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	4	1	no	—
1556	Q₈	—	8	1	no	—
1557	Q₈	—	8	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	4	1	no	—
1569	D₄	—	4	1	no	—
1570	D₄	—	4	1	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	4	2	no	—
1573	D₄	—	4	2	no	—
1574	D₄	—	4	2	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	D₄	—	8	1	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	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	—	4	1	no	—
1609	C₂×C₄	—	4	1	no	—
1610	C₂×C₄	—	4	1	no	—
1611	C₂×C₄	—	4	1	no	—
1612	C₂×C₄	—	4	1	no	—
1613	C₂×C₄	—	4	1	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	4	2	no	—
1616	C₂×C₄	—	4	2	no	—
1617	C₂×C₄	—	4	2	no	—
1618	C₂×C₄	—	4	2	no	—
1619	C₂×C₄	—	4	2	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	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	C₂²×D₄×C₆₁	1	1	yes	characteristic
1631	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1632	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄×C₆₁	1	1	yes	characteristic
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	C₂⁵×C₆₁	1	1	yes	characteristic
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	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	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	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	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	8	4	no	—
1675	C₂²	C₂³×D₄×C₆₁	1	1	yes	characteristic
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	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	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	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	C₆₁×#585	1	1	yes	characteristic
1699	C₄	C₆₁×#585	1	1	yes	characteristic
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	8	1	no	—
1704	C₂	—	8	1	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	C₆₁×#3449	1	1	yes	characteristic
1709	C₂	C₆₁×#3584	1	1	yes	characteristic
1710	C₂	C₆₁×#3585	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 ◁ C₄×#41×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₁×#3512	C₂	semidirect
2. C₆₁×#3460	C₂	semidirect
3. C₆₁×#3256	C₂	semidirect
4. C₆₁×#3251	C₂	semidirect
5. C₆₁×#3250	C₂	semidirect
6. C₆₁×#3247	C₂	semidirect
7. C₆₁×#3242	C₂	semidirect
8. C₆₁×#3241	C₂	semidirect
9. C₆₁×#3234	C₂	semidirect
10. C₆₁×#3232	C₂	semidirect
11. C₆₁×#3222	C₂	semidirect
12. C₆₁×#3220	C₂	semidirect
13. C₆₁×#3219	C₂	semidirect
14. C₆₁×#3207	C₂	semidirect
15. C₆₁×#3204	C₂	semidirect
16. C₆₁×#3203	C₂	semidirect
17. C₆₁×#3198	C₂	semidirect
18. C₆₁×#3198	C₂	semidirect
19. C₆₁×#3179	C₂	semidirect
20. C₆₁×#3178	C₂	semidirect
21. C₆₁×#3176	C₂	semidirect
22. C₆₁×#3174	C₂	semidirect
23. C₆₁×#3125	C₂	semidirect
24. C₆₁×#3124	C₂	semidirect
25. C₆₁×#3119	C₂	semidirect
26. C₆₁×#3119	C₂	semidirect
27. C₆₁×#3114	C₂	semidirect
28. C₆₁×#3111	C₂	semidirect
29. C₆₁×#3105	C₂	semidirect
30. C₆₁×#3102	C₂	semidirect
31. C₆₁×#2925	C₂	semidirect
45. C₆₁×#541	C₂²	semidirect
50. C₆₁×#540	C₂²	semidirect
61. C₆₁×#532	C₂²	semidirect
67. C₆₁×#529	C₂²	semidirect
68. C₆₁×#529	C₂²	semidirect
69. C₂×#125×C₆₁	C₂²	semidirect
72. C₆₁×#520	C₂²	semidirect
73. C₆₁×#520	C₂²	semidirect
77. C₆₁×#501	C₂²	semidirect
78. C₆₁×#501	C₂²	semidirect
79. C₆₁×#499	C₂²	semidirect
80. C₆₁×#499	C₂²	semidirect
85. C₆₁×#491	C₂²	semidirect
88. C₆₁×#490	C₂²	semidirect
91. C₆₁×#487	C₂²	semidirect
92. C₆₁×#486	C₂²	semidirect
96. C₆₁×#484	C₂²	semidirect
98. C₆₁×#483	C₂²	semidirect
104. C₆₁×#481	C₂²	semidirect
108. C₆₁×#480	C₂²	semidirect
109. C₆₁×#479	C₂²	semidirect
110. C₆₁×#479	C₂²	semidirect
111. C₆₁×#479	C₂²	semidirect
112. C₆₁×#479	C₂²	semidirect
117. C₆₁×#478	C₂²	semidirect
118. C₆₁×#478	C₂²	semidirect
119. C₆₁×#478	C₂²	semidirect
120. C₆₁×#478	C₂²	semidirect
121. C₆₁×#477	C₂²	semidirect
122. C₆₁×#476	C₂²	semidirect
123. C₆₁×#475	C₂²	semidirect
124. C₆₁×#474	C₂²	semidirect
125. C₆₁×#470	C₂²	semidirect
128. C₆₁×#469	C₂²	semidirect
131. C₆₁×#468	C₂²	semidirect
132. C₆₁×#468	C₂²	semidirect
133. C₆₁×#467	C₂²	semidirect
136. C₆₁×#466	C₂²	semidirect
139. C₆₁×#465	C₂²	semidirect
140. C₆₁×#465	C₂²	semidirect
143. C₆₁×#464	C₂²	semidirect
144. C₆₁×#464	C₂²	semidirect
151. C₆₁×#463	C₂²	semidirect
152. C₆₁×#463	C₂²	semidirect
159. C₆₁×#452	C₂²	semidirect
160. C₆₁×#452	C₂²	semidirect
169. C₆₁×#449	C₂²	semidirect
170. C₆₁×#449	C₂²	semidirect
175. C₆₁×#442	C₂²	semidirect
176. C₆₁×#441	C₂²	semidirect
179. C₆₁×#440	C₂²	semidirect
180. C₆₁×#440	C₂²	semidirect
181. C₄×Q₁₆×C₆₁	C₂²	semidirect
184. C₄×SD₁₆×C₆₁	C₂²	semidirect
185. C₄×SD₁₆×C₆₁	C₂²	semidirect
188. C₄×D₈×C₆₁	C₂²	semidirect
191. C₆₁×#433	C₂²	semidirect
192. C₆₁×#433	C₂²	semidirect
194. C₆₁×#432	C₂²	semidirect
196. C₆₁×#431	C₂²	semidirect
197. C₆₁×#423	C₂²	semidirect
198. C₂×C₄⋊C₈×C₆₁	C₂²	semidirect
201. C₆₁×#405	C₂²	semidirect
202. C₆₁×#405	C₂²	semidirect
794. #60997	C₆₁	direct (N × H)
845. #3512	C₂×C₆₁	semidirect
846. #3460	C₂×C₆₁	semidirect
847. #3256	C₂×C₆₁	semidirect
848. #3251	C₂×C₆₁	semidirect
849. #3250	C₂×C₆₁	semidirect
850. #3247	C₂×C₆₁	semidirect
851. #3242	C₂×C₆₁	semidirect
852. #3241	C₂×C₆₁	semidirect
853. #3234	C₂×C₆₁	semidirect
854. #3232	C₂×C₆₁	semidirect
855. #3222	C₂×C₆₁	semidirect
856. #3220	C₂×C₆₁	semidirect
857. #3219	C₂×C₆₁	semidirect
858. #3207	C₂×C₆₁	semidirect
859. #3204	C₂×C₆₁	semidirect
860. #3203	C₂×C₆₁	semidirect
861. #3198	C₂×C₆₁	semidirect
862. #3198	C₂×C₆₁	semidirect
863. #3179	C₂×C₆₁	semidirect
864. #3178	C₂×C₆₁	semidirect
865. #3176	C₂×C₆₁	semidirect
866. #3174	C₂×C₆₁	semidirect
867. #3125	C₂×C₆₁	semidirect
868. #3124	C₂×C₆₁	semidirect
869. #3119	C₂×C₆₁	semidirect
870. #3119	C₂×C₆₁	semidirect
871. #3114	C₂×C₆₁	semidirect
872. #3111	C₂×C₆₁	semidirect
873. #3105	C₂×C₆₁	semidirect
874. #3102	C₂×C₆₁	semidirect
875. #2925	C₂×C₆₁	semidirect
900. #541	C₂²×C₆₁	semidirect
905. #540	C₂²×C₆₁	semidirect
916. #532	C₂²×C₆₁	semidirect
922. #529	C₂²×C₆₁	semidirect
923. #529	C₂²×C₆₁	semidirect
924. C₂×#125	C₂²×C₆₁	semidirect
927. #520	C₂²×C₆₁	semidirect
928. #520	C₂²×C₆₁	semidirect
932. #501	C₂²×C₆₁	semidirect
933. #501	C₂²×C₆₁	semidirect
934. #499	C₂²×C₆₁	semidirect
935. #499	C₂²×C₆₁	semidirect
940. #491	C₂²×C₆₁	semidirect
943. #490	C₂²×C₆₁	semidirect
946. #487	C₂²×C₆₁	semidirect
947. #486	C₂²×C₆₁	semidirect
951. #484	C₂²×C₆₁	semidirect
953. #483	C₂²×C₆₁	semidirect
959. #481	C₂²×C₆₁	semidirect
963. #480	C₂²×C₆₁	semidirect
964. #479	C₂²×C₆₁	semidirect
965. #479	C₂²×C₆₁	semidirect
966. #479	C₂²×C₆₁	semidirect
967. #479	C₂²×C₆₁	semidirect
972. #478	C₂²×C₆₁	semidirect
973. #478	C₂²×C₆₁	semidirect
974. #478	C₂²×C₆₁	semidirect
975. #478	C₂²×C₆₁	semidirect
976. #477	C₂²×C₆₁	semidirect
977. #476	C₂²×C₆₁	semidirect
978. #475	C₂²×C₆₁	semidirect
979. #474	C₂²×C₆₁	semidirect
980. #470	C₂²×C₆₁	semidirect
983. #469	C₂²×C₆₁	semidirect
986. #468	C₂²×C₆₁	semidirect
987. #468	C₂²×C₆₁	semidirect
988. #467	C₂²×C₆₁	semidirect
991. #466	C₂²×C₆₁	semidirect
994. #465	C₂²×C₆₁	semidirect
995. #465	C₂²×C₆₁	semidirect
998. #464	C₂²×C₆₁	semidirect
999. #464	C₂²×C₆₁	semidirect
1006. #463	C₂²×C₆₁	semidirect
1007. #463	C₂²×C₆₁	semidirect
1014. #452	C₂²×C₆₁	semidirect
1015. #452	C₂²×C₆₁	semidirect
1024. #449	C₂²×C₆₁	semidirect
1025. #449	C₂²×C₆₁	semidirect
1030. #442	C₂²×C₆₁	semidirect
1031. #441	C₂²×C₆₁	semidirect
1034. #440	C₂²×C₆₁	semidirect
1035. #440	C₂²×C₆₁	semidirect
1036. C₄×Q₁₆	C₂²×C₆₁	semidirect
1039. C₄×SD₁₆	C₂²×C₆₁	semidirect
1040. C₄×SD₁₆	C₂²×C₆₁	semidirect
1043. C₄×D₈	C₂²×C₆₁	semidirect
1046. #433	C₂²×C₆₁	semidirect
1047. #433	C₂²×C₆₁	semidirect
1049. #432	C₂²×C₆₁	semidirect
1051. #431	C₂²×C₆₁	semidirect
1052. #423	C₂²×C₆₁	semidirect
1053. C₂×C₄⋊C₈	C₂²×C₆₁	semidirect
1056. #405	C₂²×C₆₁	semidirect
1057. #405	C₂²×C₆₁	semidirect
1058. C₆₁	#60997	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×#3512	2
C₆₁×#3460	2
C₆₁×#3256	2
C₆₁×#3251	2
C₆₁×#3250	2
C₆₁×#3247	2
C₆₁×#3242	2
C₆₁×#3241	2
C₆₁×#3234	2
C₆₁×#3232	2
C₆₁×#3222	2
C₆₁×#3220	2
C₆₁×#3219	2
C₆₁×#3207	2
C₆₁×#3204	2
C₆₁×#3203	2
C₆₁×#3198	2
C₆₁×#3179	2
C₆₁×#3178	2
C₆₁×#3176	2
C₆₁×#3174	2
C₆₁×#3125	2
C₆₁×#3124	2
C₆₁×#3119	2
C₆₁×#3114	2
C₆₁×#3111	2
C₆₁×#3105	2
C₆₁×#3102	2
C₆₁×#2925	2
#60997	61

Subgroups — C61×#60997 #29564430

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#60997 #29564430