Subgroups — #31070819

Order 17152.

1458 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22568597	C₂	1	1	yes	maximal, characteristic, complemented
2	#22568597	C₂	1	1	yes	maximal, characteristic, complemented
3	#22568088	C₂	1	1	yes	maximal, characteristic, complemented
4	#22568074	C₂	1	1	yes	maximal, characteristic, complemented
5	#22568020	C₂	1	1	yes	maximal, characteristic, complemented
6	#22568015	C₂	1	1	yes	maximal, characteristic, complemented
7	#22567755	C₂	1	1	yes	maximal, characteristic, complemented
8	#22567750	C₂	1	1	yes	maximal, characteristic, complemented
9	#22567500	C₂	1	1	yes	maximal, characteristic, complemented
10	#22567499	C₂	1	1	yes	maximal, characteristic, complemented
11	#22567365	C₂	1	1	yes	maximal, characteristic, complemented
12	#22567361	C₂	1	1	yes	maximal, characteristic, complemented
13	#22567300	C₂	1	1	yes	maximal, characteristic, complemented
14	#22567288	C₂	1	1	yes	maximal, characteristic, complemented
15	#22567246	C₂	1	1	yes	maximal, characteristic
16	#22567246	C₂	1	1	yes	maximal, characteristic
17	#22567246	C₂	1	1	yes	maximal, characteristic
18	#22566288	C₂	1	1	yes	maximal, characteristic, complemented
19	#22566282	C₂	1	1	yes	maximal, characteristic, complemented
20	#22565875	C₂	1	1	yes	maximal, characteristic, complemented
21	#22565741	C₂	1	1	yes	maximal, characteristic, complemented
22	#22565740	C₂	1	1	yes	maximal, characteristic, complemented
23	#22565364	C₂	1	1	yes	maximal, characteristic
24	#22565024	C₂	1	1	yes	maximal, characteristic, complemented
25	#22565019	C₂	1	1	yes	maximal, characteristic, complemented
26	#22564657	C₂	1	1	yes	maximal, characteristic, complemented
27	#22564480	C₂	1	1	yes	maximal, characteristic
28	#22562966	C₂	1	1	yes	maximal, characteristic, complemented
29	#22562805	C₂	1	1	yes	maximal, characteristic
30	#22562703	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#2735	C₂	1	1	yes	maximal, characteristic
32	C₂×#14524020	C₂²	1	1	yes	characteristic
33	C₂×#14523999	C₂²	1	1	yes	characteristic
34	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
35	#16863338	C₂²	1	1	yes	characteristic, complemented
36	#16863338	C₂²	1	1	yes	characteristic, complemented
37	#16863338	C₂²	1	1	yes	characteristic, complemented
38	#16863337	C₂²	1	1	yes	characteristic, complemented
39	#16863337	C₂²	1	1	yes	characteristic, complemented
40	#16863336	C₂²	1	1	yes	characteristic, complemented
41	#16863335	C₂²	1	1	yes	characteristic, complemented
42	#16863335	C₂²	1	1	yes	characteristic, complemented
43	#16863335	C₂²	1	1	yes	characteristic, complemented
44	#16863334	C₂²	1	1	yes	characteristic, complemented
45	#16863332	C₂²	1	1	yes	characteristic
46	#16863332	C₂²	1	1	yes	characteristic
47	#16863332	C₂²	1	1	yes	characteristic
48	#16863332	C₂²	1	1	yes	characteristic
49	#16863332	C₂²	1	1	yes	characteristic
50	#16863330	C₂²	1	1	yes	characteristic, complemented
51	#16863330	C₂²	1	1	yes	characteristic, complemented
52	#16863329	C₂²	1	1	yes	characteristic, complemented
53	#16863329	C₂²	1	1	yes	characteristic, complemented
54	#16863327	C₂²	1	1	yes	characteristic, complemented
55	#16863326	C₂²	1	1	yes	characteristic, complemented
56	#16863324	C₂²	1	1	yes	characteristic
57	#16863324	C₂²	1	1	yes	characteristic
58	#16863324	C₂²	1	1	yes	characteristic
59	#16863324	C₂²	1	1	yes	characteristic
60	#16863324	C₂²	1	1	yes	characteristic
61	#16863324	C₂²	1	1	yes	characteristic
62	#16863324	C₂²	1	1	yes	characteristic
63	#16863324	C₂²	1	1	yes	characteristic
64	#16863324	C₂²	1	1	yes	characteristic
65	#16863324	C₂²	1	1	yes	characteristic
66	#16863321	C₂²	1	1	yes	characteristic
67	#16863321	C₂²	1	1	yes	characteristic
68	#16863321	C₂²	1	1	yes	characteristic
69	#16863319	C₂²	1	1	yes	characteristic
70	#16863319	C₂²	1	1	yes	characteristic
71	#16863319	C₂²	1	1	yes	characteristic
72	#16863319	C₂²	1	1	yes	characteristic
73	#16863319	C₂²	1	1	yes	characteristic
74	#16863319	C₂²	1	1	yes	characteristic
75	#16863308	C₂²	1	1	yes	characteristic
76	#16863308	C₂²	1	1	yes	characteristic
77	#16863301	C₂²	1	1	yes	characteristic, complemented
78	#16863300	C₂²	1	1	yes	characteristic, complemented
79	#16863300	C₂²	1	1	yes	characteristic, complemented
80	#16863300	C₂²	1	1	yes	characteristic, complemented
81	#16863295	C₂²	1	1	yes	characteristic, complemented
82	#16863294	C₂²	1	1	yes	characteristic, complemented
83	#16863292	C₂²	1	1	yes	characteristic, complemented
84	#16863292	C₂²	1	1	yes	characteristic, complemented
85	#16863291	C₂²	1	1	yes	characteristic, complemented
86	#16863291	C₂²	1	1	yes	characteristic, complemented
87	#16863290	C₂²	1	1	yes	characteristic
88	#16863290	C₂²	1	1	yes	characteristic
89	#16863290	C₂²	1	1	yes	characteristic
90	#16863290	C₂²	1	1	yes	characteristic
91	#16863290	C₂²	1	1	yes	characteristic
92	#16863290	C₂²	1	1	yes	characteristic
93	#16863290	C₂²	1	1	yes	characteristic
94	#16863290	C₂²	1	1	yes	characteristic
95	#16863290	C₂²	1	1	yes	characteristic
96	#16863290	C₂²	1	1	yes	characteristic
97	#16863290	C₂²	1	1	yes	characteristic
98	#16863290	C₂²	1	1	yes	characteristic
99	#16863289	C₂²	1	1	yes	characteristic
100	#16863289	C₂²	1	1	yes	characteristic
101	#16863289	C₂²	1	1	yes	characteristic
102	#16863289	C₂²	1	1	yes	characteristic
103	#16863289	C₂²	1	1	yes	characteristic
104	#16863289	C₂²	1	1	yes	characteristic
105	#16863289	C₂²	1	1	yes	characteristic
106	#16863289	C₂²	1	1	yes	characteristic
107	#16863289	C₂²	1	1	yes	characteristic
108	#16863289	C₂²	1	1	yes	characteristic
109	#16863284	C₂²	1	1	yes	characteristic
110	#16863284	C₂²	1	1	yes	characteristic
111	#16863284	C₂²	1	1	yes	characteristic
112	#16863284	C₂²	1	1	yes	characteristic
113	#16863284	C₂²	1	1	yes	characteristic
114	#16863284	C₂²	1	1	yes	characteristic
115	#16863284	C₂²	1	1	yes	characteristic
116	#16863284	C₂²	1	1	yes	characteristic
117	#16863284	C₂²	1	1	yes	characteristic
118	#16863284	C₂²	1	1	yes	characteristic
119	#16863284	C₂²	1	1	yes	characteristic
120	#16863284	C₂²	1	1	yes	characteristic
121	#16863283	C₂²	1	1	yes	characteristic, complemented
122	#16863283	C₂²	1	1	yes	characteristic, complemented
123	#16863283	C₂²	1	1	yes	characteristic, complemented
124	#16863283	C₂²	1	1	yes	characteristic, complemented
125	#16863283	C₂²	1	1	yes	characteristic, complemented
126	#16863282	C₂²	1	1	yes	characteristic, complemented
127	#16863282	C₂²	1	1	yes	characteristic, complemented
128	#16863282	C₂²	1	1	yes	characteristic, complemented
129	#16863282	C₂²	1	1	yes	characteristic, complemented
130	#16863281	C₂²	1	1	yes	characteristic, complemented
131	#16863281	C₂²	1	1	yes	characteristic, complemented
132	#16863280	C₂²	1	1	yes	characteristic, complemented
133	#16863280	C₂²	1	1	yes	characteristic, complemented
134	#16863280	C₂²	1	1	yes	characteristic, complemented
135	#16863280	C₂²	1	1	yes	characteristic, complemented
136	#16863280	C₂²	1	1	yes	characteristic, complemented
137	#16863279	C₂²	1	1	yes	characteristic, complemented
138	#16863279	C₂²	1	1	yes	characteristic, complemented
139	#16863278	C₂²	1	1	yes	characteristic, complemented
140	#16863278	C₂²	1	1	yes	characteristic, complemented
141	#16863278	C₂²	1	1	yes	characteristic, complemented
142	#16863278	C₂²	1	1	yes	characteristic, complemented
143	#16863278	C₂²	1	1	yes	characteristic, complemented
144	#16863278	C₂²	1	1	yes	characteristic, complemented
145	#16863277	C₂²	1	1	yes	characteristic, complemented
146	#16863277	C₂²	1	1	yes	characteristic, complemented
147	#16863277	C₂²	1	1	yes	characteristic, complemented
148	#16863277	C₂²	1	1	yes	characteristic, complemented
149	#16863271	C₂²	1	1	yes	characteristic
150	#16863268	C₂²	1	1	yes	characteristic
151	#16863265	C₂²	1	1	yes	characteristic, complemented
152	#16863260	C₂²	1	1	yes	characteristic, complemented
153	#16863260	C₂²	1	1	yes	characteristic, complemented
154	#16863260	C₂²	1	1	yes	characteristic, complemented
155	#16863257	C₂²	1	1	yes	characteristic
156	#16863257	C₂²	1	1	yes	characteristic
157	#16863257	C₂²	1	1	yes	characteristic
158	#16863254	C₂²	1	1	yes	characteristic
159	#16863254	C₂²	1	1	yes	characteristic
160	#16863252	C₂²	1	1	yes	characteristic
161	#16863252	C₂²	1	1	yes	characteristic
162	#16863252	C₂²	1	1	yes	characteristic
163	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
165	#16863247	C₂²	1	1	yes	characteristic, complemented
166	#16863247	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
170	#16863241	C₂²	1	1	yes	characteristic, complemented
171	C₄²×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
172	#399×C₆₇	C₂²	1	1	yes	characteristic
173	#397×C₆₇	C₂²	1	1	yes	characteristic
174	#397×C₆₇	C₂²	1	1	yes	characteristic
175	#397×C₆₇	C₂²	1	1	yes	characteristic
176	#396×C₆₇	C₂²	1	1	yes	characteristic
177	#396×C₆₇	C₂²	1	1	yes	characteristic
178	#388×C₆₇	C₂²	1	1	yes	characteristic
179	#388×C₆₇	C₂²	1	1	yes	characteristic
180	#388×C₆₇	C₂²	1	1	yes	characteristic
181	#388×C₆₇	C₂²	1	1	yes	characteristic
182	#388×C₆₇	C₂²	1	1	yes	characteristic
183	#388×C₆₇	C₂²	1	1	yes	characteristic
184	#379×C₆₇	C₂²	1	1	yes	characteristic
185	#379×C₆₇	C₂²	1	1	yes	characteristic
186	#379×C₆₇	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
188	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
189	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
190	#14524020	—	2	4	no	—
191	#14523999	—	2	4	no	—
192	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
201	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₆₇	—	2	4	no	—
224	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
246	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
247	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
248	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
249	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
250	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
251	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
252	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
253	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
260	C₆₇⋊#95	C₂³	1	1	yes	characteristic
261	C₆₇⋊#95	C₂³	1	1	yes	characteristic
262	C₆₇⋊#95	C₂³	1	1	yes	characteristic
263	C₆₇⋊#95	C₂³	1	1	yes	characteristic
264	C₆₇⋊#95	C₂³	1	1	yes	characteristic
265	C₆₇⋊#95	C₂³	1	1	yes	characteristic
266	C₆₇⋊#95	C₂³	1	1	yes	characteristic
267	C₆₇⋊#95	C₂³	1	1	yes	characteristic
268	C₆₇⋊#95	C₂³	1	1	yes	characteristic
269	C₆₇⋊#95	C₂³	1	1	yes	characteristic
270	C₆₇⋊#95	C₂³	1	1	yes	characteristic
271	C₆₇⋊#95	C₂³	1	1	yes	characteristic
272	C₆₇⋊#95	C₂³	1	1	yes	characteristic
273	C₆₇⋊#95	C₂³	1	1	yes	characteristic
274	C₆₇⋊#95	C₂³	1	1	yes	characteristic
275	C₆₇⋊#95	C₂³	1	1	yes	characteristic
276	C₆₇⋊#95	C₂³	1	1	yes	characteristic
277	C₆₇⋊#95	C₂³	1	1	yes	characteristic
278	C₆₇⋊#95	C₂³	1	1	yes	characteristic
279	C₆₇⋊#95	C₂³	1	1	yes	characteristic
280	C₆₇⋊#95	C₂³	1	1	yes	characteristic
281	C₆₇⋊#95	C₂³	1	1	yes	characteristic
282	C₆₇⋊#95	C₂³	1	1	yes	characteristic
283	C₆₇⋊#95	C₂³	1	1	yes	characteristic
284	C₆₇⋊#95	C₂³	1	1	yes	characteristic
285	C₆₇⋊#95	C₂³	1	1	yes	characteristic
286	C₆₇⋊#95	C₂³	1	1	yes	characteristic
287	C₆₇⋊#95	C₂³	1	1	yes	characteristic
288	C₆₇⋊#95	C₂³	1	1	yes	characteristic
289	C₆₇⋊#95	C₂³	1	1	yes	characteristic
290	C₆₇⋊#95	C₂³	1	1	yes	characteristic
291	C₆₇⋊#95	C₂³	1	1	yes	characteristic
292	C₆₇⋊#95	C₂³	1	1	yes	characteristic
293	C₆₇⋊#95	C₂³	1	1	yes	characteristic
294	C₆₇⋊#95	C₂³	1	1	yes	characteristic
295	C₆₇⋊#95	C₂³	1	1	yes	characteristic
296	C₆₇⋊#95	C₂³	1	1	yes	characteristic
297	C₆₇⋊#95	C₂³	1	1	yes	characteristic
298	C₆₇⋊#95	C₂³	1	1	yes	characteristic
299	C₆₇⋊#95	C₂³	1	1	yes	characteristic
300	C₆₇⋊#95	C₂³	1	1	yes	characteristic
301	C₆₇⋊#95	C₂³	1	1	yes	characteristic
302	C₆₇⋊#95	C₂³	1	1	yes	characteristic
303	C₆₇⋊#95	C₂³	1	1	yes	characteristic
304	C₆₇⋊#95	C₂³	1	1	yes	characteristic
305	C₆₇⋊#95	C₂³	1	1	yes	characteristic
306	C₆₇⋊#95	C₂³	1	1	yes	characteristic
307	C₆₇⋊#95	C₂³	1	1	yes	characteristic
308	C₆₇⋊#95	C₂³	1	1	yes	characteristic
309	C₆₇⋊#95	C₂³	1	1	yes	characteristic
310	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
337	#95×C₆₇	C₂³	1	1	yes	characteristic
338	#95×C₆₇	C₂³	1	1	yes	characteristic
339	#95×C₆₇	C₂³	1	1	yes	characteristic
340	#95×C₆₇	C₂³	1	1	yes	characteristic
341	#95×C₆₇	C₂³	1	1	yes	characteristic
342	#95×C₆₇	C₂³	1	1	yes	characteristic
343	#95×C₆₇	C₂³	1	1	yes	characteristic
344	#95×C₆₇	C₂³	1	1	yes	characteristic
345	C₂×Dic₁₃₄	—	2	2	no	—
346	C₂×Dic₁₃₄	—	4	1	no	—
347	C₂×Dic₁₃₄	—	4	1	no	—
348	C₂²×Dic₆₇	—	2	2	no	—
349	C₂²×Dic₆₇	—	4	1	no	—
350	C₂²×Dic₆₇	—	4	1	no	—
351	C₂²×Dic₆₇	—	4	1	no	—
352	C₂²×Dic₆₇	—	4	1	no	—
353	C₂²×Dic₆₇	#41	1	4	yes	—
354	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
355	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
356	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
357	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
358	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
359	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
360	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
361	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
362	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
370	C₄⋊Dic₆₇	—	2	2	no	—
371	C₄⋊Dic₆₇	—	4	1	no	—
372	C₄⋊Dic₆₇	—	4	1	no	—
373	C₄⋊Dic₆₇	—	4	1	no	—
374	C₄⋊Dic₆₇	—	4	1	no	—
375	C₄⋊Dic₆₇	—	4	1	no	—
376	C₄⋊Dic₆₇	—	4	1	no	—
377	C₄⋊Dic₆₇	—	4	1	no	—
378	C₄⋊Dic₆₇	—	4	1	no	—
379	Dic₆₇⋊C₄	—	2	2	no	—
380	Dic₆₇⋊C₄	—	2	2	no	—
381	Dic₆₇⋊C₄	—	2	2	no	—
382	Dic₆₇⋊C₄	—	2	2	no	—
383	Dic₆₇⋊C₄	—	4	1	no	—
384	Dic₆₇⋊C₄	—	4	1	no	—
385	Dic₆₇⋊C₄	—	4	1	no	—
386	Dic₆₇⋊C₄	—	4	1	no	—
387	Dic₆₇⋊C₄	—	4	1	no	—
388	Dic₆₇⋊C₄	—	4	1	no	—
389	Dic₆₇⋊C₄	—	4	1	no	—
390	Dic₆₇⋊C₄	—	4	1	no	—
391	Dic₆₇⋊C₄	—	4	1	no	—
392	Dic₆₇⋊C₄	—	4	1	no	—
393	Dic₆₇⋊C₄	—	4	1	no	—
394	Dic₆₇⋊C₄	—	4	1	no	—
395	Dic₆₇⋊C₄	—	4	1	no	—
396	Dic₆₇⋊C₄	—	4	1	no	—
397	Dic₆₇⋊C₄	—	4	1	no	—
398	Dic₆₇⋊C₄	—	4	1	no	—
399	Dic₆₇⋊C₄	—	4	1	no	—
400	Dic₆₇⋊C₄	—	4	1	no	—
401	C₂²⋊Dic₆₇	—	2	2	no	—
402	C₂²⋊Dic₆₇	—	2	2	no	—
403	C₂²⋊Dic₆₇	—	2	2	no	—
404	C₂²⋊Dic₆₇	—	2	2	no	—
405	C₂²⋊Dic₆₇	—	2	2	no	—
406	C₂²⋊Dic₆₇	—	2	2	no	—
407	C₂²⋊Dic₆₇	—	4	1	no	—
408	C₂²⋊Dic₆₇	—	4	1	no	—
409	C₂²⋊Dic₆₇	—	4	1	no	—
410	C₂²⋊Dic₆₇	—	4	1	no	—
411	C₂²⋊Dic₆₇	—	4	1	no	—
412	C₂²⋊Dic₆₇	—	4	1	no	—
413	C₂²⋊Dic₆₇	—	4	1	no	—
414	C₂²⋊Dic₆₇	—	4	1	no	—
415	C₂²⋊Dic₆₇	—	4	1	no	—
416	C₂²⋊Dic₆₇	—	4	1	no	—
417	C₂²⋊Dic₆₇	—	4	1	no	—
418	C₂²⋊Dic₆₇	—	4	1	no	—
419	C₂²⋊Dic₆₇	—	4	1	no	—
420	C₂²⋊Dic₆₇	—	4	1	no	—
421	C₂²⋊Dic₆₇	—	4	1	no	—
422	C₂²⋊Dic₆₇	—	4	1	no	—
423	C₄×Dic₆₇	—	2	2	no	—
424	C₄×Dic₆₇	—	2	2	no	—
425	C₄×Dic₆₇	—	4	1	no	—
426	C₄×Dic₆₇	—	4	1	no	—
427	C₄×Dic₆₇	—	4	1	no	—
428	C₄×Dic₆₇	—	4	1	no	—
429	C₄×Dic₆₇	—	4	1	no	—
430	C₄×Dic₆₇	—	4	1	no	—
431	C₄×Dic₆₇	—	4	1	no	—
432	C₄×Dic₆₇	—	4	1	no	—
433	C₄×Dic₆₇	—	4	1	no	—
434	C₄×Dic₆₇	—	4	1	no	—
435	C₄×Dic₆₇	—	4	1	no	—
436	C₄×Dic₆₇	—	4	1	no	—
437	C₂⁴×C₆₇	—	2	2	no	—
438	C₂⁴×C₆₇	—	4	1	no	—
439	C₂⁴×C₆₇	—	4	1	no	—
440	C₂⁴×C₆₇	—	4	1	no	—
441	C₂⁴×C₆₇	—	4	1	no	—
442	C₂⁴×C₆₇	—	4	1	no	—
443	C₂⁴×C₆₇	—	4	1	no	—
444	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
445	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
446	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
459	C₄⋊C₄×C₆₇	—	4	1	no	—
460	C₄⋊C₄×C₆₇	—	4	1	no	—
461	C₄⋊C₄×C₆₇	—	4	1	no	—
462	C₄⋊C₄×C₆₇	—	4	1	no	—
463	C₄⋊C₄×C₆₇	—	4	1	no	—
464	C₄⋊C₄×C₆₇	—	4	1	no	—
465	C₂²⋊C₄×C₆₇	—	2	2	no	—
466	C₂²⋊C₄×C₆₇	—	2	2	no	—
467	C₂²⋊C₄×C₆₇	—	4	1	no	—
468	C₂²⋊C₄×C₆₇	—	4	1	no	—
469	C₂²⋊C₄×C₆₇	—	4	1	no	—
470	C₂²⋊C₄×C₆₇	—	4	1	no	—
471	C₂²⋊C₄×C₆₇	—	4	1	no	—
472	C₂²⋊C₄×C₆₇	—	4	1	no	—
473	C₂²⋊C₄×C₆₇	—	4	1	no	—
474	C₂²⋊C₄×C₆₇	—	4	1	no	—
475	C₂²⋊C₄×C₆₇	—	4	1	no	—
476	C₂²⋊C₄×C₆₇	—	4	1	no	—
477	C₂²⋊C₄×C₆₇	—	4	1	no	—
478	C₂²⋊C₄×C₆₇	—	4	1	no	—
479	C₂²⋊C₄×C₆₇	—	4	1	no	—
480	C₂²⋊C₄×C₆₇	—	4	1	no	—
481	C₂²⋊C₄×C₆₇	—	4	1	no	—
482	C₂²⋊C₄×C₆₇	—	4	1	no	—
483	C₄²×C₆₇	—	4	1	no	—
484	C₄²×C₆₇	—	4	1	no	—
485	C₂³×C₆₇	—	2	1	no	—
486	C₂³×C₆₇	—	2	1	no	—
487	C₂³×C₆₇	—	2	1	no	—
488	C₂³×C₆₇	—	2	1	no	—
489	C₂³×C₆₇	—	2	1	no	—
490	C₂³×C₆₇	—	2	1	no	—
491	C₂³×C₆₇	—	2	1	no	—
492	C₂³×C₆₇	—	2	1	no	—
493	C₂³×C₆₇	—	2	1	no	—
494	C₂³×C₆₇	—	2	1	no	—
495	C₂³×C₆₇	—	2	1	no	—
496	C₂³×C₆₇	—	2	1	no	—
497	C₂³×C₆₇	—	2	1	no	—
498	C₂³×C₆₇	—	2	1	no	—
499	C₂³×C₆₇	—	2	1	no	—
500	C₂³×C₆₇	—	2	1	no	—
501	C₂³×C₆₇	—	2	1	no	—
502	C₂³×C₆₇	—	2	1	no	—
503	C₂³×C₆₇	—	2	1	no	—
504	C₂³×C₆₇	—	2	1	no	—
505	C₂³×C₆₇	—	4	4	no	—
506	C₂³×C₆₇	—	8	2	no	—
507	C₂³×C₆₇	—	8	2	no	—
508	C₂³×C₆₇	—	8	2	no	—
509	C₂³×C₆₇	—	8	2	no	—
510	C₂³×C₆₇	—	8	2	no	—
511	C₂³×C₆₇	—	8	2	no	—
512	C₂³×C₆₇	C₂×#41	1	2	yes	—
513	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
514	C₂×C₄×C₆₇	—	2	1	no	—
515	C₂×C₄×C₆₇	—	2	1	no	—
516	C₂×C₄×C₆₇	—	2	1	no	—
517	C₂×C₄×C₆₇	—	2	1	no	—
518	C₂×C₄×C₆₇	—	2	1	no	—
519	C₂×C₄×C₆₇	—	2	1	no	—
520	C₂×C₄×C₆₇	—	2	1	no	—
521	C₂×C₄×C₆₇	—	2	1	no	—
522	C₂×C₄×C₆₇	—	2	1	no	—
523	C₂×C₄×C₆₇	—	2	1	no	—
524	C₂×C₄×C₆₇	—	2	1	no	—
525	C₂×C₄×C₆₇	—	2	1	no	—
526	C₂×C₄×C₆₇	—	2	1	no	—
527	C₂×C₄×C₆₇	—	2	1	no	—
528	C₂×C₄×C₆₇	—	2	1	no	—
529	C₂×C₄×C₆₇	—	2	1	no	—
530	C₂×C₄×C₆₇	—	2	1	no	—
531	C₂×C₄×C₆₇	—	2	1	no	—
532	C₂×C₄×C₆₇	—	2	1	no	—
533	C₂×C₄×C₆₇	—	2	1	no	—
534	C₂×C₄×C₆₇	—	2	1	no	—
535	C₂×C₄×C₆₇	—	2	1	no	—
536	C₂×C₄×C₆₇	—	2	1	no	—
537	C₂×C₄×C₆₇	—	2	1	no	—
538	C₂×C₄×C₆₇	—	2	1	no	—
539	C₂×C₄×C₆₇	—	2	1	no	—
540	C₂×C₄×C₆₇	—	2	1	no	—
541	C₂×C₄×C₆₇	—	2	1	no	—
542	C₂×C₄×C₆₇	—	2	1	no	—
543	C₂×C₄×C₆₇	—	2	1	no	—
544	C₂×C₄×C₆₇	—	2	1	no	—
545	C₂×C₄×C₆₇	—	2	1	no	—
546	C₂×C₄×C₆₇	—	2	1	no	—
547	C₂×C₄×C₆₇	—	2	1	no	—
548	C₂×C₄×C₆₇	—	2	1	no	—
549	C₂×C₄×C₆₇	—	2	1	no	—
550	C₂×Dic₆₇	—	2	1	no	—
551	C₂×Dic₆₇	—	2	1	no	—
552	C₂×Dic₆₇	—	2	1	no	—
553	C₂×Dic₆₇	—	2	1	no	—
554	C₂×Dic₆₇	—	2	1	no	—
555	C₂×Dic₆₇	—	2	1	no	—
556	C₂×Dic₆₇	—	2	1	no	—
557	C₂×Dic₆₇	—	2	1	no	—
558	C₂×Dic₆₇	—	2	1	no	—
559	C₂×Dic₆₇	—	2	1	no	—
560	C₂×Dic₆₇	—	2	1	no	—
561	C₂×Dic₆₇	—	2	1	no	—
562	C₂×Dic₆₇	—	2	1	no	—
563	C₂×Dic₆₇	—	2	1	no	—
564	C₂×Dic₆₇	—	2	1	no	—
565	C₂×Dic₆₇	—	2	1	no	—
566	C₂×Dic₆₇	—	2	1	no	—
567	C₂×Dic₆₇	—	2	1	no	—
568	C₂×Dic₆₇	—	2	1	no	—
569	C₂×Dic₆₇	—	2	1	no	—
570	C₂×Dic₆₇	—	2	1	no	—
571	C₂×Dic₆₇	—	2	1	no	—
572	C₂×Dic₆₇	—	2	1	no	—
573	C₂×Dic₆₇	—	2	1	no	—
574	C₂×Dic₆₇	—	2	1	no	—
575	C₂×Dic₆₇	—	2	1	no	—
576	C₂×Dic₆₇	—	2	1	no	—
577	C₂×Dic₆₇	—	2	1	no	—
578	C₂×Dic₆₇	—	2	1	no	—
579	C₂×Dic₆₇	—	2	1	no	—
580	C₂×Dic₆₇	—	2	1	no	—
581	C₂×Dic₆₇	—	2	1	no	—
582	C₂×Dic₆₇	—	2	1	no	—
583	C₂×Dic₆₇	—	2	1	no	—
584	C₂×Dic₆₇	—	2	1	no	—
585	C₂×Dic₆₇	—	2	1	no	—
586	C₂×Dic₆₇	—	2	1	no	—
587	C₂×Dic₆₇	—	2	1	no	—
588	C₂×Dic₆₇	—	2	1	no	—
589	C₂×Dic₆₇	—	2	1	no	—
590	C₂×Dic₆₇	—	2	1	no	—
591	C₂×Dic₆₇	—	2	1	no	—
592	C₂×Dic₆₇	—	2	1	no	—
593	C₂×Dic₆₇	—	2	1	no	—
594	C₂×Dic₆₇	—	2	1	no	—
595	C₂×Dic₆₇	—	2	1	no	—
596	C₂×Dic₆₇	—	4	4	no	—
597	C₂×Dic₆₇	—	8	2	no	—
598	C₂×Dic₆₇	C₂×#41	1	2	yes	—
599	C₂×Dic₆₇	C₂×#41	1	2	yes	—
600	Dic₁₃₄	—	8	2	no	—
601	C₂²×C₆₇	—	2	2	no	—
602	C₂²×C₆₇	—	2	2	no	—
603	C₂²×C₆₇	—	2	2	no	—
604	C₂²×C₆₇	—	4	1	no	—
605	C₂²×C₆₇	—	4	1	no	—
606	C₂²×C₆₇	—	4	1	no	—
607	C₂²×C₆₇	—	4	1	no	—
608	C₂²×C₆₇	—	4	1	no	—
609	C₂²×C₆₇	—	4	1	no	—
610	C₂²×C₆₇	—	4	1	no	—
611	C₂²×C₆₇	—	4	1	no	—
612	C₂²×C₆₇	—	4	1	no	—
613	C₂²×C₆₇	—	4	1	no	—
614	C₂²×C₆₇	—	4	1	no	—
615	C₂²×C₆₇	—	4	1	no	—
616	C₂²×C₆₇	—	4	1	no	—
617	C₂²×C₆₇	—	4	1	no	—
618	C₂²×C₆₇	—	4	1	no	—
619	C₂²×C₆₇	—	4	1	no	—
620	C₂²×C₆₇	—	4	1	no	—
621	C₂²×C₆₇	—	4	1	no	—
622	C₂²×C₆₇	—	8	8	no	—
623	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
624	C₂²×C₆₇	#585	1	1	yes	characteristic
625	C₂²×C₆₇	#585	1	1	yes	characteristic
626	C₂²×C₆₇	#585	1	1	yes	characteristic
627	C₂²×C₆₇	#585	1	1	yes	characteristic
628	C₂²×C₆₇	#585	1	1	yes	characteristic
629	C₂²×C₆₇	#585	1	1	yes	characteristic
630	C₄×C₆₇	—	4	1	no	—
631	C₄×C₆₇	—	4	1	no	—
632	C₄×C₆₇	—	4	1	no	—
633	C₄×C₆₇	—	4	1	no	—
634	C₄×C₆₇	—	4	1	no	—
635	C₄×C₆₇	—	4	1	no	—
636	C₄×C₆₇	—	4	1	no	—
637	C₄×C₆₇	—	4	1	no	—
638	C₄×C₆₇	—	4	1	no	—
639	C₄×C₆₇	—	4	1	no	—
640	C₄×C₆₇	—	4	1	no	—
641	C₄×C₆₇	—	4	1	no	—
642	Dic₆₇	—	2	2	no	—
643	Dic₆₇	—	2	2	no	—
644	Dic₆₇	—	4	1	no	—
645	Dic₆₇	—	4	1	no	—
646	Dic₆₇	—	4	1	no	—
647	Dic₆₇	—	4	1	no	—
648	Dic₆₇	—	4	1	no	—
649	Dic₆₇	—	4	1	no	—
650	Dic₆₇	—	4	1	no	—
651	Dic₆₇	—	4	1	no	—
652	Dic₆₇	—	4	1	no	—
653	Dic₆₇	—	4	1	no	—
654	Dic₆₇	—	4	1	no	—
655	Dic₆₇	—	4	1	no	—
656	Dic₆₇	—	4	1	no	—
657	Dic₆₇	—	4	1	no	—
658	#37014	—	67	1	no	maximal, Sylow
659	C₂×C₆₇	—	4	2	no	—
660	C₂×C₆₇	—	8	1	no	—
661	C₂×C₆₇	—	8	1	no	—
662	C₂×C₆₇	#3455	1	1	yes	characteristic
663	C₂×C₆₇	#3491	1	1	yes	characteristic
664	C₂×C₆₇	#3510	1	1	yes	characteristic
665	C₂×C₆₇	#3566	1	1	yes	characteristic
666	C₂×C₆₇	#3566	1	1	yes	characteristic
667	C₂×C₆₇	#3566	1	1	yes	characteristic
668	C₂×C₆₇	#3566	1	1	yes	characteristic
669	#2865	—	67	1	no	—
670	#2865	—	67	1	no	—
671	#2798	—	67	1	no	—
672	#2798	—	67	1	no	—
673	#2793	—	67	1	no	—
674	#2793	—	67	1	no	—
675	#2773	—	67	1	no	—
676	#2773	—	67	1	no	—
677	#2754	—	67	1	no	—
678	#2754	—	67	1	no	—
679	#2744	—	67	1	no	—
680	#2744	—	67	1	no	—
681	#2739	—	67	1	no	—
682	#2739	—	67	1	no	—
683	#2735	—	67	1	no	—
684	#2735	—	67	1	no	—
685	#2735	—	67	1	no	—
686	#2735	D₆₇	1	1	yes	characteristic
687	#2654	—	67	1	no	—
688	#2654	—	67	1	no	—
689	#2608	—	67	1	no	—
690	#2596	—	67	1	no	—
691	#2596	—	67	1	no	—
692	#2561	—	67	1	no	—
693	#2529	—	67	1	no	—
694	#2529	—	67	1	no	—
695	#2499	—	67	1	no	—
696	#2482	—	67	1	no	—
697	#2332	—	67	1	no	—
698	#2312	—	67	1	no	—
699	#2298	—	67	1	no	—
700	C₆₇	#37014	1	1	yes	characteristic, complemented, Sylow
701	C₂×C₂²⋊Q₈	—	67	1	no	—
702	C₂×#117	—	67	1	no	—
703	C₂²×C₂²⋊C₄	—	67	1	no	—
704	#400	—	67	1	no	—
705	#400	—	67	1	no	—
706	#400	—	67	1	no	—
707	#400	—	67	1	no	—
708	#400	—	67	1	no	—
709	#400	—	67	1	no	—
710	#400	—	67	1	no	—
711	#400	—	67	1	no	—
712	#400	—	67	1	no	—
713	#400	—	67	1	no	—
714	#399	—	67	1	no	—
715	#399	—	67	1	no	—
716	#399	—	67	1	no	—
717	#399	—	67	1	no	—
718	#399	—	67	1	no	—
719	#399	C₂×D₆₇	1	1	yes	characteristic
720	#398	—	67	1	no	—
721	#398	—	67	1	no	—
722	#398	—	67	1	no	—
723	#398	—	67	1	no	—
724	#398	—	67	1	no	—
725	#398	—	67	1	no	—
726	#397	—	67	1	no	—
727	#397	—	67	1	no	—
728	#397	—	67	1	no	—
729	#397	—	67	1	no	—
730	#397	—	67	1	no	—
731	#397	—	67	1	no	—
732	#397	—	67	1	no	—
733	#397	—	67	1	no	—
734	#397	—	67	1	no	—
735	#397	—	67	1	no	—
736	#397	—	67	1	no	—
737	#397	—	67	1	no	—
738	#397	—	67	1	no	—
739	#397	C₂×D₆₇	1	1	yes	characteristic
740	#397	C₂×D₆₇	1	1	yes	characteristic
741	#397	C₂×D₆₇	1	1	yes	characteristic
742	#396	—	67	1	no	—
743	#396	—	67	1	no	—
744	#396	—	67	1	no	—
745	#396	—	67	1	no	—
746	#396	—	67	1	no	—
747	#396	—	67	1	no	—
748	#396	C₂×D₆₇	1	1	yes	characteristic
749	#396	C₂×D₆₇	1	1	yes	characteristic
750	#393	—	67	1	no	—
751	#393	—	67	1	no	—
752	#391	—	67	1	no	—
753	#391	—	67	1	no	—
754	#391	—	67	1	no	—
755	#391	—	67	1	no	—
756	#389	—	67	1	no	—
757	#389	—	67	1	no	—
758	#389	—	67	1	no	—
759	#389	—	67	1	no	—
760	#389	—	67	1	no	—
761	#389	—	67	1	no	—
762	#388	—	67	1	no	—
763	#388	—	67	1	no	—
764	#388	—	67	1	no	—
765	#388	—	67	1	no	—
766	#388	—	67	1	no	—
767	#388	—	67	1	no	—
768	#388	—	67	1	no	—
769	#388	—	67	1	no	—
770	#388	—	67	1	no	—
771	#388	—	67	1	no	—
772	#388	—	67	1	no	—
773	#388	—	67	1	no	—
774	#388	—	67	1	no	—
775	#388	—	67	1	no	—
776	#388	—	67	1	no	—
777	#388	—	67	1	no	—
778	#388	—	67	1	no	—
779	#388	—	67	1	no	—
780	#388	—	67	1	no	—
781	#388	—	67	1	no	—
782	#388	—	67	1	no	—
783	#388	—	67	1	no	—
784	#388	—	67	1	no	—
785	#388	—	67	1	no	—
786	#388	—	67	1	no	—
787	#388	—	67	1	no	—
788	#388	—	67	1	no	—
789	#388	—	67	1	no	—
790	#388	—	67	1	no	—
791	#388	—	67	1	no	—
792	#388	—	67	1	no	—
793	#388	—	67	1	no	—
794	#388	—	67	1	no	—
795	#388	—	67	1	no	—
796	#388	C₂×D₆₇	1	1	yes	characteristic
797	#388	C₂×D₆₇	1	1	yes	characteristic
798	#388	C₂×D₆₇	1	1	yes	characteristic
799	#388	C₂×D₆₇	1	1	yes	characteristic
800	#388	C₂×D₆₇	1	1	yes	characteristic
801	#388	C₂×D₆₇	1	1	yes	characteristic
802	#387	—	67	1	no	—
803	#387	—	67	1	no	—
804	#387	—	67	1	no	—
805	#387	—	67	1	no	—
806	#387	—	67	1	no	—
807	#387	—	67	1	no	—
808	#387	—	67	1	no	—
809	#387	—	67	1	no	—
810	#387	—	67	1	no	—
811	#387	—	67	1	no	—
812	#387	—	67	1	no	—
813	#387	—	67	1	no	—
814	#387	—	67	1	no	—
815	#387	—	67	1	no	—
816	#387	—	67	1	no	—
817	#387	—	67	1	no	—
818	#387	—	67	1	no	—
819	#387	—	67	1	no	—
820	#387	—	67	1	no	—
821	#387	—	67	1	no	—
822	#387	—	67	1	no	—
823	#387	—	67	1	no	—
824	#387	—	67	1	no	—
825	#387	—	67	1	no	—
826	#387	—	67	1	no	—
827	#387	—	67	1	no	—
828	#387	—	67	1	no	—
829	#387	—	67	1	no	—
830	#385	—	67	1	no	—
831	#385	—	67	1	no	—
832	#384	—	67	1	no	—
833	#382	—	67	1	no	—
834	#382	—	67	1	no	—
835	#382	—	67	1	no	—
836	#381	—	67	1	no	—
837	#381	—	67	1	no	—
838	#381	—	67	1	no	—
839	#380	—	67	1	no	—
840	#380	—	67	1	no	—
841	#379	—	67	1	no	—
842	#379	—	67	1	no	—
843	#379	—	67	1	no	—
844	#379	C₂×D₆₇	1	1	yes	characteristic
845	#379	C₂×D₆₇	1	1	yes	characteristic
846	#379	C₂×D₆₇	1	1	yes	characteristic
847	C₄×C₄⋊C₄	—	67	1	no	—
848	C₄×C₄⋊C₄	—	67	1	no	—
849	C₄×C₄⋊C₄	—	67	1	no	—
850	C₄×C₄⋊C₄	—	67	1	no	—
851	C₄×C₂²⋊C₄	—	67	1	no	—
852	C₄×C₂²⋊C₄	—	67	1	no	—
853	C₄×C₂²⋊C₄	—	67	1	no	—
854	#376	—	67	1	no	—
855	C₄³	—	67	1	no	—
856	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
857	C₂²×Q₈	—	67	1	no	—
858	C₂³×C₄	—	67	1	no	—
859	C₂³×C₄	—	67	1	no	—
860	C₂²⋊Q₈	—	134	4	no	—
861	#117	—	134	4	no	—
862	C₂×C₄⋊C₄	—	67	1	no	—
863	C₂×C₄⋊C₄	—	67	1	no	—
864	C₂×C₄⋊C₄	—	67	1	no	—
865	C₂×C₄⋊C₄	—	67	1	no	—
866	C₂×C₄⋊C₄	—	67	1	no	—
867	C₂×C₄⋊C₄	—	67	1	no	—
868	C₂×C₄⋊C₄	—	67	1	no	—
869	C₂×C₄⋊C₄	—	67	1	no	—
870	C₂×C₄⋊C₄	—	67	1	no	—
871	C₂×C₄⋊C₄	—	67	1	no	—
872	C₂×C₄⋊C₄	—	67	1	no	—
873	C₂×C₄⋊C₄	—	67	1	no	—
874	C₂×C₄⋊C₄	—	67	1	no	—
875	C₂×C₄⋊C₄	—	67	1	no	—
876	C₂×C₄⋊C₄	—	67	1	no	—
877	C₂×C₄⋊C₄	—	67	1	no	—
878	C₂×C₄⋊C₄	—	67	1	no	—
879	C₂×C₄⋊C₄	—	67	1	no	—
880	C₂×C₄⋊C₄	—	67	1	no	—
881	C₂×C₄⋊C₄	—	67	1	no	—
882	C₂×C₄⋊C₄	—	67	1	no	—
883	C₂×C₄⋊C₄	—	67	1	no	—
884	C₂×C₄⋊C₄	—	67	1	no	—
885	C₂×C₄⋊C₄	—	67	1	no	—
886	C₂×C₄⋊C₄	—	67	1	no	—
887	C₂×C₄⋊C₄	—	67	1	no	—
888	C₂×C₄⋊C₄	—	67	1	no	—
889	C₂×C₄⋊C₄	—	67	1	no	—
890	C₂×C₄⋊C₄	—	67	1	no	—
891	C₂×C₄⋊C₄	—	67	1	no	—
892	C₂×C₄⋊C₄	—	67	1	no	—
893	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	—	67	1	no	—
900	C₂×C₂²⋊C₄	—	67	1	no	—
901	C₂×C₂²⋊C₄	—	67	1	no	—
902	C₂×C₂²⋊C₄	—	67	1	no	—
903	C₂×C₂²⋊C₄	—	67	1	no	—
904	C₂×C₂²⋊C₄	—	67	1	no	—
905	C₂×C₂²⋊C₄	—	67	1	no	—
906	C₂×C₂²⋊C₄	—	67	1	no	—
907	C₂×C₂²⋊C₄	—	67	1	no	—
908	C₂×C₂²⋊C₄	—	67	1	no	—
909	C₂×C₂²⋊C₄	—	67	1	no	—
910	C₂×C₂²⋊C₄	—	67	1	no	—
911	C₂×C₂²⋊C₄	—	67	1	no	—
912	C₂×C₂²⋊C₄	—	67	1	no	—
913	C₂×C₂²⋊C₄	—	67	1	no	—
914	C₂×C₂²⋊C₄	—	67	1	no	—
915	C₂×C₂²⋊C₄	—	67	1	no	—
916	C₂×C₂²⋊C₄	—	67	1	no	—
917	C₂×C₂²⋊C₄	—	67	1	no	—
918	C₂×C₂²⋊C₄	—	67	1	no	—
919	C₂×C₂²⋊C₄	—	67	1	no	—
920	C₂×C₂²⋊C₄	—	67	1	no	—
921	C₂×C₂²⋊C₄	—	134	4	no	—
922	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
940	C₂×C₄²	—	67	1	no	—
941	C₂×C₄²	—	67	1	no	—
942	C₂×C₄²	—	67	1	no	—
943	C₂×C₄²	—	67	1	no	—
944	C₂×C₄²	—	67	1	no	—
945	C₂×C₄²	—	67	1	no	—
946	C₂×C₄²	—	67	1	no	—
947	C₂×C₄²	—	67	1	no	—
948	C₂×C₄²	—	67	1	no	—
949	C₂×C₄²	—	67	1	no	—
950	C₂×C₄²	—	67	1	no	—
951	C₂×C₄²	—	67	1	no	—
952	C₂×C₄²	—	67	1	no	—
953	C₂×C₄²	—	67	1	no	—
954	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
955	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
956	#95	—	67	1	no	—
957	#95	—	67	1	no	—
958	#95	—	67	1	no	—
959	#95	—	67	1	no	—
960	#95	—	67	1	no	—
961	#95	—	67	1	no	—
962	#95	—	67	1	no	—
963	#95	—	67	1	no	—
964	#95	—	67	1	no	—
965	#95	—	67	1	no	—
966	#95	—	67	1	no	—
967	#95	—	67	1	no	—
968	#95	—	67	1	no	—
969	#95	—	67	1	no	—
970	#95	—	67	1	no	—
971	#95	—	67	1	no	—
972	#95	—	67	1	no	—
973	#95	—	67	1	no	—
974	#95	—	67	1	no	—
975	#95	—	67	1	no	—
976	#95	—	67	1	no	—
977	#95	—	67	1	no	—
978	#95	—	67	1	no	—
979	#95	—	67	1	no	—
980	#95	—	67	1	no	—
981	#95	—	67	1	no	—
982	#95	—	67	1	no	—
983	#95	—	67	1	no	—
984	#95	—	67	1	no	—
985	#95	—	67	1	no	—
986	#95	—	67	1	no	—
987	#95	—	67	1	no	—
988	#95	—	67	1	no	—
989	#95	—	67	1	no	—
990	#95	—	67	1	no	—
991	#95	—	67	1	no	—
992	#95	—	67	1	no	—
993	#95	—	67	1	no	—
994	#95	—	67	1	no	—
995	#95	—	67	1	no	—
996	#95	—	67	1	no	—
997	#95	—	67	1	no	—
998	#95	—	67	1	no	—
999	#95	—	67	1	no	—
1000	#95	—	67	1	no	—
1001	#95	—	67	1	no	—
1002	#95	—	67	1	no	—
1003	#95	—	67	1	no	—
1004	#95	—	67	1	no	—
1005	#95	—	67	1	no	—
1006	#95	C₂²×D₆₇	1	1	yes	characteristic
1007	#95	C₂²×D₆₇	1	1	yes	characteristic
1008	#95	C₂²×D₆₇	1	1	yes	characteristic
1009	#95	C₂²×D₆₇	1	1	yes	characteristic
1010	#95	C₂²×D₆₇	1	1	yes	characteristic
1011	#95	C₂²×D₆₇	1	1	yes	characteristic
1012	#95	C₂²×D₆₇	1	1	yes	characteristic
1013	#95	C₂²×D₆₇	1	1	yes	characteristic
1014	C₂⁴	—	2	2	no	—
1015	C₂⁴	—	4	1	no	—
1016	C₂⁴	—	4	1	no	—
1017	C₂⁴	—	4	1	no	—
1018	C₂⁴	—	4	1	no	—
1019	C₂⁴	—	4	1	no	—
1020	C₂⁴	—	4	1	no	—
1021	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1022	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1023	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1024	C₂×Q₈	—	268	1	no	—
1025	C₂×Q₈	—	268	1	no	—
1026	C₂×Q₈	—	134	2	no	—
1027	C₂²×C₄	—	268	1	no	—
1028	C₂²×C₄	—	268	1	no	—
1029	C₂²×C₄	—	268	1	no	—
1030	C₂²×C₄	—	268	1	no	—
1031	C₂²×C₄	—	67	4	no	—
1032	C₂²×C₄	—	67	1	no	—
1033	C₂²×C₄	—	67	1	no	—
1034	C₂²×C₄	—	67	1	no	—
1035	C₂²×C₄	—	67	1	no	—
1036	C₂²×C₄	—	67	1	no	—
1037	C₂²×C₄	—	67	1	no	—
1038	C₂²×C₄	—	67	1	no	—
1039	C₂²×C₄	—	67	1	no	—
1040	C₂²×C₄	—	67	1	no	—
1041	C₂²×C₄	—	67	1	no	—
1042	C₂²×C₄	—	67	1	no	—
1043	C₂²×C₄	—	67	1	no	—
1044	C₂²×C₄	—	67	1	no	—
1045	C₂²×C₄	—	67	1	no	—
1046	C₂²×C₄	—	67	1	no	—
1047	C₂²×C₄	—	67	1	no	—
1048	C₂²×C₄	—	134	2	no	—
1049	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	4	1	no	—
1065	C₄⋊C₄	—	4	1	no	—
1066	C₄⋊C₄	—	4	1	no	—
1067	C₄⋊C₄	—	268	1	no	—
1068	C₄⋊C₄	—	268	1	no	—
1069	C₄⋊C₄	—	268	1	no	—
1070	C₄⋊C₄	—	268	1	no	—
1071	C₄⋊C₄	—	268	1	no	—
1072	C₄⋊C₄	—	268	1	no	—
1073	C₄⋊C₄	—	268	1	no	—
1074	C₄⋊C₄	—	268	1	no	—
1075	C₄⋊C₄	—	268	1	no	—
1076	C₄⋊C₄	—	268	1	no	—
1077	C₄⋊C₄	—	268	1	no	—
1078	C₄⋊C₄	—	268	1	no	—
1079	C₄⋊C₄	—	268	1	no	—
1080	C₄⋊C₄	—	268	1	no	—
1081	C₄⋊C₄	—	268	1	no	—
1082	C₄⋊C₄	—	268	1	no	—
1083	C₄⋊C₄	—	268	1	no	—
1084	C₄⋊C₄	—	268	1	no	—
1085	C₄⋊C₄	—	268	1	no	—
1086	C₄⋊C₄	—	268	1	no	—
1087	C₄⋊C₄	—	268	1	no	—
1088	C₄⋊C₄	—	268	1	no	—
1089	C₄⋊C₄	—	268	1	no	—
1090	C₄⋊C₄	—	268	1	no	—
1091	C₄⋊C₄	—	268	1	no	—
1092	C₄⋊C₄	—	268	1	no	—
1093	C₄⋊C₄	—	134	2	no	—
1094	C₄⋊C₄	—	134	2	no	—
1095	C₄⋊C₄	—	134	2	no	—
1096	C₄⋊C₄	—	134	2	no	—
1097	C₄⋊C₄	—	134	2	no	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	4	1	no	—
1101	C₂²⋊C₄	—	4	1	no	—
1102	C₂²⋊C₄	—	4	1	no	—
1103	C₂²⋊C₄	—	4	1	no	—
1104	C₂²⋊C₄	—	4	1	no	—
1105	C₂²⋊C₄	—	4	1	no	—
1106	C₂²⋊C₄	—	4	1	no	—
1107	C₂²⋊C₄	—	4	1	no	—
1108	C₂²⋊C₄	—	4	1	no	—
1109	C₂²⋊C₄	—	4	1	no	—
1110	C₂²⋊C₄	—	4	1	no	—
1111	C₂²⋊C₄	—	4	1	no	—
1112	C₂²⋊C₄	—	4	1	no	—
1113	C₂²⋊C₄	—	4	1	no	—
1114	C₂²⋊C₄	—	4	1	no	—
1115	C₂²⋊C₄	—	4	1	no	—
1116	C₂²⋊C₄	—	268	1	no	—
1117	C₂²⋊C₄	—	268	1	no	—
1118	C₂²⋊C₄	—	268	1	no	—
1119	C₂²⋊C₄	—	268	1	no	—
1120	C₂²⋊C₄	—	268	1	no	—
1121	C₂²⋊C₄	—	268	1	no	—
1122	C₂²⋊C₄	—	268	1	no	—
1123	C₂²⋊C₄	—	268	1	no	—
1124	C₂²⋊C₄	—	268	1	no	—
1125	C₂²⋊C₄	—	268	1	no	—
1126	C₂²⋊C₄	—	268	1	no	—
1127	C₂²⋊C₄	—	268	1	no	—
1128	C₂²⋊C₄	—	268	1	no	—
1129	C₂²⋊C₄	—	268	1	no	—
1130	C₂²⋊C₄	—	268	1	no	—
1131	C₂²⋊C₄	—	268	1	no	—
1132	C₂²⋊C₄	—	134	2	no	—
1133	C₂²⋊C₄	—	134	2	no	—
1134	C₂²⋊C₄	—	134	2	no	—
1135	C₂²⋊C₄	—	134	2	no	—
1136	C₂²⋊C₄	—	134	2	no	—
1137	C₂²⋊C₄	—	134	2	no	—
1138	C₄²	—	4	1	no	—
1139	C₄²	—	4	1	no	—
1140	C₄²	—	268	1	no	—
1141	C₄²	—	268	1	no	—
1142	C₄²	—	268	1	no	—
1143	C₄²	—	268	1	no	—
1144	C₄²	—	268	1	no	—
1145	C₄²	—	268	1	no	—
1146	C₄²	—	268	1	no	—
1147	C₄²	—	268	1	no	—
1148	C₄²	—	268	1	no	—
1149	C₄²	—	268	1	no	—
1150	C₄²	—	268	1	no	—
1151	C₄²	—	268	1	no	—
1152	C₄²	—	134	2	no	—
1153	C₄²	—	134	2	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	1	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	4	4	no	—
1175	C₂³	—	8	2	no	—
1176	C₂³	—	8	2	no	—
1177	C₂³	—	8	2	no	—
1178	C₂³	—	8	2	no	—
1179	C₂³	—	8	2	no	—
1180	C₂³	—	8	2	no	—
1181	C₂³	#41×D₆₇	1	2	yes	—
1182	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1183	Q₈	—	536	2	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	268	4	no	—
1221	C₂×C₄	—	536	2	no	—
1222	C₂×C₄	—	67	2	no	—
1223	C₂×C₄	—	67	2	no	—
1224	C₂×C₄	—	134	1	no	—
1225	C₂×C₄	—	134	1	no	—
1226	C₂×C₄	—	134	1	no	—
1227	C₂×C₄	—	134	1	no	—
1228	C₂×C₄	—	134	1	no	—
1229	C₂×C₄	—	134	1	no	—
1230	C₂×C₄	—	134	1	no	—
1231	C₂×C₄	—	134	1	no	—
1232	C₂×C₄	—	134	1	no	—
1233	C₂×C₄	—	134	1	no	—
1234	C₂×C₄	—	134	1	no	—
1235	C₂×C₄	—	134	1	no	—
1236	C₂×C₄	—	134	1	no	—
1237	C₂×C₄	—	134	1	no	—
1238	C₂×C₄	—	134	1	no	—
1239	C₂×C₄	—	134	1	no	—
1240	C₂×C₄	—	134	1	no	—
1241	C₂×C₄	—	134	1	no	—
1242	C₂×C₄	—	134	1	no	—
1243	C₂×C₄	—	134	1	no	—
1244	C₂×C₄	—	134	1	no	—
1245	C₂×C₄	—	134	1	no	—
1246	C₂×C₄	—	134	1	no	—
1247	C₂×C₄	—	134	1	no	—
1248	C₂×C₄	—	134	1	no	—
1249	C₂×C₄	—	134	1	no	—
1250	C₂×C₄	—	134	1	no	—
1251	C₂×C₄	—	134	1	no	—
1252	C₂×C₄	—	134	1	no	—
1253	C₂×C₄	—	134	1	no	—
1254	C₂×C₄	—	134	1	no	—
1255	C₂×C₄	—	134	1	no	—
1256	C₂×C₄	—	134	1	no	—
1257	C₂×C₄	—	134	1	no	—
1258	C₂×C₄	—	134	1	no	—
1259	C₂×C₄	—	134	1	no	—
1260	C₂×C₄	—	134	1	no	—
1261	C₂×C₄	—	134	1	no	—
1262	C₂×C₄	—	134	1	no	—
1263	C₂×C₄	—	134	1	no	—
1264	C₂×C₄	—	134	1	no	—
1265	C₂×C₄	—	134	1	no	—
1266	C₂×C₄	—	134	1	no	—
1267	C₂×C₄	—	134	1	no	—
1268	C₂×C₄	—	134	1	no	—
1269	C₂×C₄	—	134	1	no	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	2	2	no	—
1272	C₂²	—	2	2	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	4	1	no	—
1289	C₂²	—	4	1	no	—
1290	C₂²	—	4	1	no	—
1291	C₂²	—	8	8	no	—
1292	C₂²	C₂×#41×D₆₇	1	1	yes	characteristic
1293	C₂²	#16864231	1	1	yes	characteristic
1294	C₂²	#16864231	1	1	yes	characteristic
1295	C₂²	#16864231	1	1	yes	characteristic
1296	C₂²	#16864231	1	1	yes	characteristic
1297	C₂²	#16864232	1	1	yes	characteristic
1298	C₂²	#16864232	1	1	yes	characteristic
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	268	1	no	—
1312	C₄	—	268	1	no	—
1313	C₄	—	268	1	no	—
1314	C₄	—	268	1	no	—
1315	C₄	—	268	1	no	—
1316	C₄	—	268	1	no	—
1317	C₄	—	268	1	no	—
1318	C₄	—	268	1	no	—
1319	C₄	—	268	1	no	—
1320	C₄	—	268	1	no	—
1321	C₄	—	268	1	no	—
1322	C₄	—	268	1	no	—
1323	C₄	—	268	1	no	—
1324	C₄	—	268	1	no	—
1325	C₄	—	134	2	no	—
1326	C₄	—	134	2	no	—
1327	C₂	—	4	2	no	—
1328	C₂	—	8	1	no	—
1329	C₂	—	8	1	no	—
1330	C₂	#22573591	1	1	yes	characteristic
1331	C₂	#22573900	1	1	yes	characteristic
1332	C₂	#22574097	1	1	yes	characteristic
1333	C₂	#22574866	1	1	yes	characteristic
1334	C₂	#22574871	1	1	yes	characteristic
1335	C₂	#22574873	1	1	yes	characteristic
1336	C₂	#22574876	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₆₇
commutator, socle, cosocle	C₂³×C₆₇	C₂⁵
Fitting	C₆₇×#2735	C₂
prime radical	C₂⁵×C₆₇	C₂³
hypercenter	#2735	D₆₇
hypocenter	C₆₇	#37014
LCS	G ▷ C₂³×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ #2735

Complements

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

N	H ≅ G/N	type
1. #22568597	C₂	semidirect
2. #22568597	C₂	semidirect
3. #22568088	C₂	semidirect
4. #22568074	C₂	semidirect
5. #22568020	C₂	semidirect
6. #22568015	C₂	semidirect
7. #22567755	C₂	semidirect
8. #22567750	C₂	semidirect
9. #22567500	C₂	semidirect
10. #22567499	C₂	semidirect
11. #22567365	C₂	semidirect
12. #22567361	C₂	semidirect
13. #22567300	C₂	semidirect
14. #22567288	C₂	semidirect
18. #22566288	C₂	semidirect
19. #22566282	C₂	semidirect
20. #22565875	C₂	semidirect
21. #22565741	C₂	semidirect
22. #22565740	C₂	semidirect
24. #22565024	C₂	semidirect
25. #22565019	C₂	semidirect
26. #22564657	C₂	semidirect
28. #22562966	C₂	semidirect
30. #22562703	C₂	semidirect
35. #16863338	C₂²	semidirect
36. #16863338	C₂²	semidirect
37. #16863338	C₂²	semidirect
38. #16863337	C₂²	semidirect
39. #16863337	C₂²	semidirect
40. #16863336	C₂²	semidirect
41. #16863335	C₂²	semidirect
42. #16863335	C₂²	semidirect
43. #16863335	C₂²	semidirect
44. #16863334	C₂²	semidirect
50. #16863330	C₂²	semidirect
51. #16863330	C₂²	semidirect
52. #16863329	C₂²	semidirect
53. #16863329	C₂²	semidirect
54. #16863327	C₂²	semidirect
55. #16863326	C₂²	semidirect
77. #16863301	C₂²	semidirect
78. #16863300	C₂²	semidirect
79. #16863300	C₂²	semidirect
80. #16863300	C₂²	semidirect
81. #16863295	C₂²	semidirect
82. #16863294	C₂²	semidirect
83. #16863292	C₂²	semidirect
84. #16863292	C₂²	semidirect
85. #16863291	C₂²	semidirect
86. #16863291	C₂²	semidirect
121. #16863283	C₂²	semidirect
122. #16863283	C₂²	semidirect
123. #16863283	C₂²	semidirect
124. #16863283	C₂²	semidirect
125. #16863283	C₂²	semidirect
126. #16863282	C₂²	semidirect
127. #16863282	C₂²	semidirect
128. #16863282	C₂²	semidirect
129. #16863282	C₂²	semidirect
130. #16863281	C₂²	semidirect
131. #16863281	C₂²	semidirect
132. #16863280	C₂²	semidirect
133. #16863280	C₂²	semidirect
134. #16863280	C₂²	semidirect
135. #16863280	C₂²	semidirect
136. #16863280	C₂²	semidirect
137. #16863279	C₂²	semidirect
138. #16863279	C₂²	semidirect
139. #16863278	C₂²	semidirect
140. #16863278	C₂²	semidirect
141. #16863278	C₂²	semidirect
142. #16863278	C₂²	semidirect
143. #16863278	C₂²	semidirect
144. #16863278	C₂²	semidirect
145. #16863277	C₂²	semidirect
146. #16863277	C₂²	semidirect
147. #16863277	C₂²	semidirect
148. #16863277	C₂²	semidirect
151. #16863265	C₂²	semidirect
152. #16863260	C₂²	semidirect
153. #16863260	C₂²	semidirect
154. #16863260	C₂²	semidirect
163. C₄⋊C₄×Dic₆₇	C₂²	semidirect
164. C₄×C₄⋊Dic₆₇	C₂²	semidirect
165. #16863247	C₂²	semidirect
166. #16863247	C₂²	semidirect
170. #16863241	C₂²	semidirect
171. C₄²×Dic₆₇	C₂²	semidirect
700. C₆₇	#37014	semidirect

Maximal subgroups

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

subgroup	index
#22568597	2
#22568088	2
#22568074	2
#22568020	2
#22568015	2
#22567755	2
#22567750	2
#22567500	2
#22567499	2
#22567365	2
#22567361	2
#22567300	2
#22567288	2
#22567246	2
#22566288	2
#22566282	2
#22565875	2
#22565741	2
#22565740	2
#22565364	2
#22565024	2
#22565019	2
#22564657	2
#22564480	2
#22562966	2
#22562805	2
#22562703	2
C₆₇×#2735	2
#37014	67