Subgroups — #16749943

Order 3328.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129263	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128598	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127054	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127039	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126979	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126934	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126859	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126814	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126688	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126673	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126548	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126523	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126472	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126448	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126396	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126366	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126336	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126321	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125875	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125814	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125748	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125738	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125720	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125690	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124976	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124885	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124143	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124143	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124115	C₂	1	1	yes	maximal, characteristic, complemented
30	#13124106	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic
33	C₂×#88256	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#532	C₂²	1	1	yes	characteristic
35	#11719538	C₂²	1	1	yes	characteristic
36	#11719538	C₂²	1	1	yes	characteristic, complemented
37	#11719538	C₂²	1	1	yes	characteristic, complemented
38	#11719538	C₂²	1	1	yes	characteristic, complemented
39	#11719535	C₂²	1	1	yes	characteristic, complemented
40	#11719530	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88163	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#6095	C₂²	1	1	yes	characteristic, complemented
49	#11719440	—	2	1	no	—
50	#11719431	—	2	1	no	—
51	#11719425	—	2	1	no	—
52	#11719422	—	2	1	no	—
53	#11719384	—	2	1	no	—
54	#11719381	—	2	1	no	—
55	#11719381	—	2	1	no	—
56	#11719375	—	2	1	no	—
57	#11719320	—	2	1	no	—
58	#11719320	—	2	1	no	—
59	#11719318	—	2	1	no	—
60	#11719318	—	2	1	no	—
61	#11719310	—	2	1	no	—
62	#11719310	—	2	1	no	—
63	D₁₃×#121	—	2	1	no	—
64	D₁₃×#121	—	2	1	no	—
65	#11719270	C₂²	1	1	yes	characteristic, complemented
66	#11719270	C₂²	1	1	yes	characteristic, complemented
67	#11719257	C₂²	1	1	yes	characteristic, complemented
68	#11719257	C₂²	1	1	yes	characteristic, complemented
69	#11719256	C₂²	1	1	yes	characteristic
70	#11719256	C₂²	1	1	yes	characteristic, complemented
71	#11719255	C₂²	1	1	yes	characteristic
72	#11719255	C₂²	1	1	yes	characteristic
73	#11719255	C₂²	1	1	yes	characteristic, complemented
74	#11719255	C₂²	1	1	yes	characteristic, complemented
75	#11719255	C₂²	1	1	yes	characteristic, complemented
76	#11719255	C₂²	1	1	yes	characteristic, complemented
77	D₄×D₅₂	C₂²	1	1	yes	characteristic
78	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
79	#11719246	C₂²	1	1	yes	characteristic, complemented
80	#11719246	C₂²	1	1	yes	characteristic, complemented
81	#11719184	C₂²	1	1	yes	characteristic, complemented
82	#11719184	C₂²	1	1	yes	characteristic, complemented
83	#11719182	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
91	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
92	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
99	#11718798	C₂²	1	1	yes	characteristic, complemented
100	#11718798	C₂²	1	1	yes	characteristic, complemented
101	#11718796	C₂²	1	1	yes	characteristic, complemented
102	#11718796	C₂²	1	1	yes	characteristic, complemented
103	#11718795	C₂²	1	1	yes	characteristic, complemented
104	#11718795	C₂²	1	1	yes	characteristic, complemented
105	#11718795	C₂²	1	1	yes	characteristic, complemented
106	#11718795	C₂²	1	1	yes	characteristic, complemented
107	#11718794	C₂²	1	1	yes	characteristic, complemented
108	#11718794	C₂²	1	1	yes	characteristic, complemented
109	#11718792	C₂²	1	1	yes	characteristic, complemented
110	#11718792	C₂²	1	1	yes	characteristic, complemented
111	#11718777	C₂²	1	1	yes	characteristic, complemented
112	#11718777	C₂²	1	1	yes	characteristic, complemented
113	#11718776	C₂²	1	1	yes	characteristic, complemented
114	#11718776	C₂²	1	1	yes	characteristic, complemented
115	#11718775	C₂²	1	1	yes	characteristic, complemented
116	#11718775	C₂²	1	1	yes	characteristic, complemented
117	#11718775	C₂²	1	1	yes	characteristic, complemented
118	#11718775	C₂²	1	1	yes	characteristic, complemented
119	#11718774	C₂²	1	1	yes	characteristic, complemented
120	#11718774	C₂²	1	1	yes	characteristic, complemented
121	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
122	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
123	#11718510	C₂²	1	1	yes	characteristic, complemented
124	#11718509	C₂²	1	1	yes	characteristic, complemented
125	#11718508	C₂²	1	1	yes	characteristic, complemented
126	#11718508	C₂²	1	1	yes	characteristic, complemented
127	#11718508	C₂²	1	1	yes	characteristic, complemented
128	#11718508	C₂²	1	1	yes	characteristic, complemented
129	#11718506	C₂²	1	1	yes	characteristic, complemented
130	#11718506	C₂²	1	1	yes	characteristic, complemented
131	#11718505	C₂²	1	1	yes	characteristic, complemented
132	#11718505	C₂²	1	1	yes	characteristic, complemented
133	#11718505	C₂²	1	1	yes	characteristic, complemented
134	#11718505	C₂²	1	1	yes	characteristic, complemented
135	#11718505	C₂²	1	1	yes	characteristic, complemented
136	#11718505	C₂²	1	1	yes	characteristic, complemented
137	#11718504	C₂²	1	1	yes	characteristic, complemented
138	#11718502	C₂²	1	1	yes	characteristic, complemented
139	#11718400	C₂²	1	1	yes	characteristic, complemented
140	#11718399	C₂²	1	1	yes	characteristic, complemented
141	#11718398	C₂²	1	1	yes	characteristic, complemented
142	#11718398	C₂²	1	1	yes	characteristic, complemented
143	#11718397	C₂²	1	1	yes	characteristic, complemented
144	#11718397	C₂²	1	1	yes	characteristic, complemented
145	#11718396	C₂²	1	1	yes	characteristic, complemented
146	#11718396	C₂²	1	1	yes	characteristic, complemented
147	#11718395	C₂²	1	1	yes	characteristic, complemented
148	#11718395	C₂²	1	1	yes	characteristic, complemented
149	#11718395	C₂²	1	1	yes	characteristic, complemented
150	#11718395	C₂²	1	1	yes	characteristic, complemented
151	#11718395	C₂²	1	1	yes	characteristic, complemented
152	#11718395	C₂²	1	1	yes	characteristic, complemented
153	#11718395	C₂²	1	1	yes	characteristic, complemented
154	#11718395	C₂²	1	1	yes	characteristic, complemented
155	#11718395	C₂²	1	1	yes	characteristic, complemented
156	#11718395	C₂²	1	1	yes	characteristic, complemented
157	#11718394	C₂²	1	1	yes	characteristic, complemented
158	#11718394	C₂²	1	1	yes	characteristic, complemented
159	#11718394	C₂²	1	1	yes	characteristic, complemented
160	#11718394	C₂²	1	1	yes	characteristic, complemented
161	#11718394	C₂²	1	1	yes	characteristic, complemented
162	#11718394	C₂²	1	1	yes	characteristic, complemented
163	#11718394	C₂²	1	1	yes	characteristic, complemented
164	#11718394	C₂²	1	1	yes	characteristic, complemented
165	#11718394	C₂²	1	1	yes	characteristic, complemented
166	#11718394	C₂²	1	1	yes	characteristic, complemented
167	#11718393	C₂²	1	1	yes	characteristic
168	#11718393	C₂²	1	1	yes	characteristic
169	#11718393	C₂²	1	1	yes	characteristic, complemented
170	#11718393	C₂²	1	1	yes	characteristic, complemented
171	#11718393	C₂²	1	1	yes	characteristic, complemented
172	#11718393	C₂²	1	1	yes	characteristic, complemented
173	#11718393	C₂²	1	1	yes	characteristic, complemented
174	#11718392	C₂²	1	1	yes	characteristic, complemented
175	#11718392	C₂²	1	1	yes	characteristic, complemented
176	#11718392	C₂²	1	1	yes	characteristic, complemented
177	#11718392	C₂²	1	1	yes	characteristic, complemented
178	#11718392	C₂²	1	1	yes	characteristic, complemented
179	#11718392	C₂²	1	1	yes	characteristic, complemented
180	#11718392	C₂²	1	1	yes	characteristic, complemented
181	#11718384	C₂²	1	1	yes	characteristic, complemented
182	#11718384	C₂²	1	1	yes	characteristic, complemented
183	#11718383	C₂²	1	1	yes	characteristic, complemented
184	#11718383	C₂²	1	1	yes	characteristic, complemented
185	#11718382	C₂²	1	1	yes	characteristic, complemented
186	#11718382	C₂²	1	1	yes	characteristic, complemented
187	#11718376	C₂²	1	1	yes	characteristic, complemented
188	#11718374	C₂²	1	1	yes	characteristic, complemented
189	#11718373	C₂²	1	1	yes	characteristic, complemented
190	#11718372	C₂²	1	1	yes	characteristic, complemented
191	#11718372	C₂²	1	1	yes	characteristic, complemented
192	#11718371	C₂²	1	1	yes	characteristic, complemented
193	#11718371	C₂²	1	1	yes	characteristic, complemented
194	#11718364	C₂²	1	1	yes	characteristic, complemented
195	#11718358	C₂²	1	1	yes	characteristic, complemented
196	#11718358	C₂²	1	1	yes	characteristic, complemented
197	#11718357	C₂²	1	1	yes	characteristic, complemented
198	#11718357	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
202	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	#88256	—	4	2	no	—
206	#88256	—	4	2	no	—
207	#88256	—	4	2	no	—
208	#88256	—	4	2	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	—	2	1	no	—
211	C₂×D₄×D₁₃	—	2	1	no	—
212	C₂×D₄×D₁₃	—	2	1	no	—
213	C₂×D₄×D₁₃	—	2	1	no	—
214	C₂×D₄×D₁₃	—	2	1	no	—
215	C₂×D₄×D₁₃	—	2	1	no	—
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×#6127	C₂³	1	1	yes	characteristic
220	C₂×#6127	C₂³	1	1	yes	characteristic
221	C₂×#6127	C₂³	1	1	yes	characteristic
222	C₂×#6127	C₂³	1	1	yes	characteristic
223	C₂×#6127	C₂³	1	1	yes	characteristic
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂²×D₅₂	C₂³	1	1	yes	characteristic
228	C₂²×D₅₂	C₂³	1	1	yes	characteristic
229	C₂²×D₅₂	C₂³	1	1	yes	characteristic
230	C₂²×D₅₂	C₂³	1	1	yes	characteristic
231	C₂²×D₅₂	C₂³	1	1	yes	characteristic
232	C₂²×D₅₂	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₁₃	—	2	1	no	—
234	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
243	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
244	C₁₃×#127	D₄	1	1	yes	characteristic
245	C₁₃×#124	D₄	1	1	yes	characteristic
246	C₁₃×#124	D₄	1	1	yes	characteristic
247	C₁₃×#121	D₄	1	1	yes	characteristic
248	C₁₃×#121	D₄	1	1	yes	characteristic
249	C₁₃×#121	D₄	1	1	yes	characteristic
250	C₁₃×#121	D₄	1	1	yes	characteristic
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
256	#88201	—	2	1	no	—
257	#88200	—	2	1	no	—
258	#88200	—	2	1	no	—
259	#88200	—	2	1	no	—
260	#88200	—	2	1	no	—
261	#88198	—	2	1	no	—
262	#88194	—	2	1	no	—
263	#88193	—	2	1	no	—
264	#88193	—	2	1	no	—
265	#88193	—	2	1	no	—
266	#88193	—	2	1	no	—
267	#88193	—	2	1	no	—
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88192	—	2	1	no	—
276	#88192	—	2	1	no	—
277	#88192	—	2	1	no	—
278	#88192	—	2	1	no	—
279	#88192	—	2	1	no	—
280	#88192	—	2	1	no	—
281	#88191	—	2	1	no	—
282	#88191	—	2	1	no	—
283	#88191	—	2	1	no	—
284	#88191	—	2	1	no	—
285	#88191	—	2	1	no	—
286	#88191	—	2	1	no	—
287	#88191	—	2	1	no	—
288	#88191	—	2	1	no	—
289	#88190	—	2	1	no	—
290	#88189	—	2	1	no	—
291	#88189	—	2	1	no	—
292	#88189	—	2	1	no	—
293	#88189	—	2	1	no	—
294	#88184	—	2	1	no	—
295	#88184	—	2	1	no	—
296	#88184	C₂³	1	1	yes	characteristic
297	#88184	C₂³	1	1	yes	characteristic
298	#88184	C₂³	1	1	yes	characteristic
299	#88184	C₂³	1	1	yes	characteristic
300	#88184	C₂³	1	1	yes	characteristic
301	#88184	C₂³	1	1	yes	characteristic
302	#88184	C₂³	1	1	yes	characteristic
303	#88184	C₂³	1	1	yes	characteristic
304	#88184	C₂³	1	1	yes	characteristic
305	#88184	C₂³	1	1	yes	characteristic
306	#88183	—	2	1	no	—
307	#88183	—	2	1	no	—
308	C₄×C₂²⋊D₁₃	—	2	1	no	—
309	C₄×C₂²⋊D₁₃	—	2	1	no	—
310	C₂×#6103	—	2	1	no	—
311	#88180	C₂³	1	1	yes	characteristic
312	#88180	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
316	#88178	C₂³	1	1	yes	characteristic
317	#88178	C₂³	1	1	yes	characteristic
318	#88178	C₂³	1	1	yes	characteristic
319	#88178	C₂³	1	1	yes	characteristic
320	#88178	C₂³	1	1	yes	characteristic
321	#88178	C₂³	1	1	yes	characteristic
322	#88178	C₂³	1	1	yes	characteristic
323	#88178	C₂³	1	1	yes	characteristic
324	#88178	C₂³	1	1	yes	characteristic
325	#88178	C₂³	1	1	yes	characteristic
326	#88163	—	4	2	no	—
327	#88162	—	4	2	no	—
328	#88162	—	4	2	no	—
329	#88162	—	4	2	no	—
330	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
331	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
332	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
333	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
334	#88158	—	4	2	no	—
335	#88158	—	4	2	no	—
336	C₂×D₁₀₄	—	4	2	no	—
337	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
338	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
339	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
340	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
341	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
342	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
343	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
344	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
345	C₂×#6095	—	4	2	no	—
346	C₂×#6095	C₂³	1	1	yes	characteristic
347	C₂×#6095	C₂³	1	1	yes	characteristic
348	C₂×#6095	C₂³	1	1	yes	characteristic
349	C₂×#6095	C₂³	1	1	yes	characteristic
350	C₂×#6095	C₂³	1	1	yes	characteristic
351	C₂×#6095	C₂³	1	1	yes	characteristic
352	C₂×#6095	C₂³	1	1	yes	characteristic
353	C₂×#6095	C₂³	1	1	yes	characteristic
354	C₂×#6095	C₂³	1	1	yes	characteristic
355	C₂×#6095	C₂³	1	1	yes	characteristic
356	C₂×#6095	C₂³	1	1	yes	characteristic
357	C₂×#6095	C₂³	1	1	yes	characteristic
358	#88152	—	2	1	no	—
359	#88152	—	2	1	no	—
360	#88150	—	2	1	no	—
361	#88150	—	2	1	no	—
362	#88149	—	2	1	no	—
363	#88149	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88148	—	2	1	no	—
366	#88148	—	2	1	no	—
367	#88148	—	2	1	no	—
368	#88148	—	2	1	no	—
369	#88148	—	2	1	no	—
370	C₄⋊C₄×D₁₃	—	2	1	no	—
371	C₄⋊C₄×D₁₃	—	2	1	no	—
372	#88143	—	2	1	no	—
373	#88143	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88138	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88137	—	2	1	no	—
383	#88137	—	2	1	no	—
384	#88137	—	2	1	no	—
385	#88137	—	2	1	no	—
386	#88137	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88136	—	2	1	no	—
389	#88136	—	2	1	no	—
390	#88136	—	2	1	no	—
391	#88136	—	2	1	no	—
392	#88135	—	2	1	no	—
393	#88135	—	2	1	no	—
394	#88135	—	2	1	no	—
395	#88135	—	2	1	no	—
396	C₂²⋊C₄×D₁₃	—	2	1	no	—
397	C₂²⋊C₄×D₁₃	—	2	1	no	—
398	C₂²⋊C₄×D₁₃	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	#88133	—	2	1	no	—
403	#88133	—	2	1	no	—
404	#88131	—	2	1	no	—
405	#88131	—	2	1	no	—
406	#88130	—	2	1	no	—
407	#88130	—	2	1	no	—
408	#88129	C₂³	1	1	yes	characteristic
409	#88129	C₂³	1	1	yes	characteristic
410	#88129	C₂³	1	1	yes	characteristic
411	#88129	C₂³	1	1	yes	characteristic
412	#88128	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	—	2	1	no	—
414	C₄×D₅₂	—	2	1	no	—
415	C₄×D₅₂	—	2	1	no	—
416	C₄×D₅₂	—	2	1	no	—
417	C₄×D₅₂	C₂³	1	1	yes	characteristic
418	C₄×D₅₂	C₂³	1	1	yes	characteristic
419	C₄×D₅₂	C₂³	1	1	yes	characteristic
420	C₄×D₅₂	C₂³	1	1	yes	characteristic
421	C₄×D₅₂	C₂³	1	1	yes	characteristic
422	C₄×D₅₂	C₂³	1	1	yes	characteristic
423	#88126	—	2	1	no	—
424	#88126	—	2	1	no	—
425	#88124	C₂³	1	1	yes	characteristic
426	#88124	C₂³	1	1	yes	characteristic
427	#88123	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
437	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₁₃×#97	C₂³	1	1	yes	characteristic
447	C₁₃×#97	C₂³	1	1	yes	characteristic
448	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
449	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88061	C₂³	1	1	yes	characteristic
463	#88061	C₂³	1	1	yes	characteristic
464	#88061	C₂³	1	1	yes	characteristic
465	#88061	C₂³	1	1	yes	characteristic
466	#88061	C₂³	1	1	yes	characteristic
467	#88061	C₂³	1	1	yes	characteristic
468	#88061	C₂³	1	1	yes	characteristic
469	#88061	C₂³	1	1	yes	characteristic
470	#88058	C₂³	1	1	yes	characteristic
471	#88058	C₂³	1	1	yes	characteristic
472	#88058	C₂³	1	1	yes	characteristic
473	#88058	C₂³	1	1	yes	characteristic
474	#88057	C₂³	1	1	yes	characteristic
475	#88057	C₂³	1	1	yes	characteristic
476	#88057	C₂³	1	1	yes	characteristic
477	#88057	C₂³	1	1	yes	characteristic
478	#88056	C₂³	1	1	yes	characteristic
479	#88056	C₂³	1	1	yes	characteristic
480	#88056	C₂³	1	1	yes	characteristic
481	#88056	C₂³	1	1	yes	characteristic
482	#88056	C₂³	1	1	yes	characteristic
483	#88056	C₂³	1	1	yes	characteristic
484	#88056	C₂³	1	1	yes	characteristic
485	#88056	C₂³	1	1	yes	characteristic
486	#88056	C₂³	1	1	yes	characteristic
487	#88056	C₂³	1	1	yes	characteristic
488	#88056	C₂³	1	1	yes	characteristic
489	#88056	C₂³	1	1	yes	characteristic
490	#61678	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₁₃×#41	—	4	1	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	—	2	1	no	—
541	C₂²×Dic₁₃	—	2	1	no	—
542	#6131	—	4	4	no	—
543	#6131	—	4	4	no	—
544	D₄×D₁₃	—	4	4	no	—
545	D₄×D₁₃	—	4	4	no	—
546	D₄×D₁₃	—	4	4	no	—
547	D₄×D₁₃	—	4	4	no	—
548	D₄×D₁₃	—	4	4	no	—
549	D₄×D₁₃	—	4	4	no	—
550	D₄×D₁₃	—	8	2	no	—
551	D₄×D₁₃	—	8	2	no	—
552	#6127	—	2	2	no	—
553	#6127	—	2	2	no	—
554	#6127	—	2	2	no	—
555	#6127	—	2	2	no	—
556	#6127	—	4	1	no	—
557	#6127	—	4	1	no	—
558	#6127	—	4	1	no	—
559	#6127	—	4	1	no	—
560	#6127	—	4	1	no	—
561	#6127	—	4	1	no	—
562	#6127	—	4	1	no	—
563	#6127	—	4	1	no	—
564	#6127	—	4	1	no	—
565	#6127	—	4	1	no	—
566	#6127	—	4	1	no	—
567	#6127	—	4	1	no	—
568	C₂×D₅₂	—	2	1	no	—
569	C₂×D₅₂	—	2	2	no	—
570	C₂×D₅₂	—	2	2	no	—
571	C₂×D₅₂	—	2	2	no	—
572	C₂×D₅₂	—	2	2	no	—
573	C₂×D₅₂	—	2	2	no	—
574	C₂×D₅₂	—	2	2	no	—
575	C₂×D₅₂	—	2	1	no	—
576	C₂×D₅₂	—	2	1	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	4	1	no	—
583	C₂×D₅₂	—	4	1	no	—
584	C₂×D₅₂	—	4	1	no	—
585	C₂×D₅₂	—	4	1	no	—
586	C₂×D₅₂	—	4	1	no	—
587	C₂×D₅₂	—	4	1	no	—
588	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
589	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
590	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
591	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
592	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
593	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	2	1	no	—
601	C₂×C₄×D₁₃	—	2	1	no	—
602	C₂×C₄×D₁₃	—	2	1	no	—
603	C₂×C₄×D₁₃	—	2	1	no	—
604	C₂×C₄×D₁₃	—	2	1	no	—
605	C₂×C₄×D₁₃	—	2	1	no	—
606	C₂×C₄×D₁₃	—	2	1	no	—
607	C₂×C₄×D₁₃	—	2	1	no	—
608	C₂×C₄×D₁₃	—	8	2	no	—
609	C₂×Dic₂₆	—	2	1	no	—
610	C₂×Dic₂₆	—	4	1	no	—
611	C₂×Dic₂₆	—	4	1	no	—
612	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
613	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
614	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
615	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
616	C₁₃×M₁₆	—	4	1	no	—
617	C₁₃×M₁₆	—	4	1	no	—
618	C₁₃×M₁₆	—	4	1	no	—
619	C₁₃×M₁₆	—	4	1	no	—
620	C₂×C₈×C₁₃	—	4	1	no	—
621	C₂×C₈×C₁₃	—	4	1	no	—
622	C₂×C₈×C₁₃	—	4	1	no	—
623	C₂×C₈×C₁₃	—	4	1	no	—
624	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
627	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
628	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
629	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
630	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
631	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
645	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
646	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
647	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
648	C₂²⋊Dic₁₃	—	2	1	no	—
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	—	2	1	no	—
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	—	2	1	no	—
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	—	2	1	no	—
656	C₂²⋊Dic₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	—	2	1	no	—
686	C₄⋊Dic₁₃	—	2	1	no	—
687	C₄⋊Dic₁₃	—	2	1	no	—
688	C₄⋊Dic₁₃	—	2	1	no	—
689	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
693	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
694	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	C₄×Dic₁₃	—	2	1	no	—
712	C₄×Dic₁₃	—	2	1	no	—
713	C₄×Dic₁₃	—	2	1	no	—
714	C₄×Dic₁₃	—	2	1	no	—
715	Dic₅₂	—	4	1	no	—
716	Dic₅₂	—	4	1	no	—
717	Dic₅₂	—	4	1	no	—
718	Dic₅₂	—	4	1	no	—
719	D₁₀₄	—	2	2	no	—
720	D₁₀₄	—	2	2	no	—
721	D₁₀₄	—	2	2	no	—
722	D₁₀₄	—	2	2	no	—
723	D₁₀₄	—	4	1	no	—
724	D₁₀₄	—	4	1	no	—
725	D₁₀₄	—	4	1	no	—
726	D₁₀₄	—	4	1	no	—
727	#6095	—	2	2	no	—
728	#6095	—	2	2	no	—
729	#6095	—	2	2	no	—
730	#6095	—	2	2	no	—
731	#6095	—	4	1	no	—
732	#6095	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6095	—	4	1	no	—
735	#6095	—	4	1	no	—
736	#6095	—	4	1	no	—
737	#6095	—	4	1	no	—
738	#6095	—	4	1	no	—
739	#3551	—	13	1	no	—
740	#3496	—	13	1	no	—
741	#3323	—	13	1	no	—
742	#3322	—	13	1	no	—
743	#3318	—	13	1	no	—
744	#3315	—	13	1	no	—
745	#3310	—	13	1	no	—
746	#3307	—	13	1	no	—
747	#3297	—	13	1	no	—
748	#3296	—	13	1	no	—
749	#3282	—	13	1	no	—
750	#3280	—	13	1	no	—
751	#3275	—	13	1	no	—
752	#3273	—	13	1	no	—
753	#3269	—	13	1	no	—
754	#3267	—	13	1	no	—
755	#3265	—	13	1	no	—
756	#3264	—	13	1	no	—
757	#3219	—	13	1	no	—
758	#3212	—	13	1	no	—
759	#3204	—	13	1	no	—
760	#3203	—	13	1	no	—
761	#3201	—	13	1	no	—
762	#3198	—	13	1	no	—
763	#3114	—	13	1	no	—
764	#3105	—	13	1	no	—
765	#3012	—	13	1	no	—
766	#3012	—	13	1	no	—
767	#3009	—	13	1	no	—
768	#3008	—	13	1	no	—
769	#2981	D₁₃	1	1	yes	characteristic, complemented
770	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂²×D₁₃	—	2	1	no	—
776	C₂²×D₁₃	—	2	1	no	—
777	C₂²×D₁₃	—	2	4	no	—
778	C₂²×D₁₃	—	2	1	no	—
779	C₂²×D₁₃	—	2	1	no	—
780	C₂²×D₁₃	—	2	1	no	—
781	C₂²×D₁₃	—	2	1	no	—
782	C₂²×D₁₃	—	4	2	no	—
783	C₂²×D₁₃	—	4	2	no	—
784	C₂²×D₁₃	—	4	2	no	—
785	C₂²×D₁₃	—	4	2	no	—
786	C₂²×D₁₃	—	8	1	no	—
787	C₂²×D₁₃	—	8	1	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	—	8	1	no	—
790	C₂²×D₁₃	—	8	1	no	—
791	C₂²×D₁₃	—	8	1	no	—
792	C₂²×D₁₃	—	8	1	no	—
793	C₂²×D₁₃	—	8	1	no	—
794	C₂²×D₁₃	—	8	1	no	—
795	C₂²×D₁₃	—	8	1	no	—
796	C₂²×D₁₃	—	8	1	no	—
797	C₂²×D₁₃	—	8	1	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	Q₈×C₁₃	—	4	1	no	—
800	Q₈×C₁₃	—	4	1	no	—
801	D₄×C₁₃	—	4	1	no	—
802	D₄×C₁₃	—	4	1	no	—
803	D₄×C₁₃	—	4	1	no	—
804	D₄×C₁₃	—	4	1	no	—
805	D₄×C₁₃	—	4	1	no	—
806	D₄×C₁₃	—	4	1	no	—
807	D₄×C₁₃	—	4	1	no	—
808	D₄×C₁₃	—	4	1	no	—
809	D₄×C₁₃	—	4	1	no	—
810	D₄×C₁₃	—	4	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	4	1	no	—
822	C₂×C₄×C₁₃	—	4	1	no	—
823	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
833	C₂²⋊D₁₃	—	4	2	no	—
834	C₂²⋊D₁₃	—	4	2	no	—
835	C₂²⋊D₁₃	—	4	2	no	—
836	C₂²⋊D₁₃	—	4	2	no	—
837	C₂²⋊D₁₃	—	4	2	no	—
838	C₂²⋊D₁₃	—	4	2	no	—
839	C₂²⋊D₁₃	—	8	1	no	—
840	C₂²⋊D₁₃	—	8	1	no	—
841	C₂²⋊D₁₃	—	8	1	no	—
842	C₂²⋊D₁₃	—	8	1	no	—
843	C₂²⋊D₁₃	—	8	1	no	—
844	C₂²⋊D₁₃	—	8	1	no	—
845	C₂²⋊D₁₃	—	8	1	no	—
846	C₂²⋊D₁₃	—	8	1	no	—
847	C₂²⋊D₁₃	—	8	1	no	—
848	C₂²⋊D₁₃	—	8	1	no	—
849	C₂²⋊D₁₃	—	8	1	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂×Dic₁₃	—	2	1	no	—
852	C₂×Dic₁₃	—	2	1	no	—
853	C₂×Dic₁₃	—	2	1	no	—
854	C₂×Dic₁₃	—	2	1	no	—
855	C₂×Dic₁₃	—	2	1	no	—
856	C₂×Dic₁₃	—	2	1	no	—
857	C₂×Dic₁₃	—	2	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	2	1	no	—
861	C₂×Dic₁₃	—	8	1	no	—
862	C₂×Dic₁₃	—	8	1	no	—
863	C₂×Dic₁₃	—	8	1	no	—
864	C₂×Dic₁₃	—	8	1	no	—
865	D₅₂	—	2	4	no	—
866	D₅₂	—	2	1	no	—
867	D₅₂	—	2	1	no	—
868	D₅₂	—	2	1	no	—
869	D₅₂	—	2	1	no	—
870	D₅₂	—	2	1	no	—
871	D₅₂	—	2	1	no	—
872	D₅₂	—	2	1	no	—
873	D₅₂	—	2	1	no	—
874	D₅₂	—	2	1	no	—
875	D₅₂	—	2	1	no	—
876	D₅₂	—	4	2	no	—
877	D₅₂	—	4	2	no	—
878	D₅₂	—	4	2	no	—
879	D₅₂	—	4	2	no	—
880	D₅₂	—	4	2	no	—
881	D₅₂	—	8	1	no	—
882	D₅₂	—	8	1	no	—
883	D₅₂	H(5,𝔽₂)	1	2	yes	—
884	D₅₂	H(5,𝔽₂)	1	2	yes	—
885	C₄×D₁₃	—	4	2	no	—
886	C₄×D₁₃	—	4	2	no	—
887	C₄×D₁₃	—	4	2	no	—
888	C₄×D₁₃	—	4	2	no	—
889	C₄×D₁₃	—	4	2	no	—
890	C₄×D₁₃	—	4	2	no	—
891	C₄×D₁₃	—	4	2	no	—
892	C₄×D₁₃	—	4	2	no	—
893	C₄×D₁₃	—	8	1	no	—
894	C₄×D₁₃	—	8	1	no	—
895	C₄×D₁₃	—	8	1	no	—
896	C₄×D₁₃	—	8	1	no	—
897	C₄×D₁₃	—	8	1	no	—
898	C₄×D₁₃	—	8	1	no	—
899	Dic₂₆	—	2	1	no	—
900	Dic₂₆	—	2	1	no	—
901	Dic₂₆	—	2	1	no	—
902	Dic₂₆	—	2	1	no	—
903	Dic₂₆	—	2	1	no	—
904	Dic₂₆	—	2	1	no	—
905	Dic₂₆	—	2	1	no	—
906	Dic₂₆	—	2	1	no	—
907	Dic₂₆	—	8	1	no	—
908	C₈×C₁₃	—	2	1	no	—
909	C₈×C₁₃	—	2	1	no	—
910	C₈×C₁₃	—	2	1	no	—
911	C₈×C₁₃	—	2	1	no	—
912	C₈×C₁₃	—	2	1	no	—
913	C₈×C₁₃	—	2	1	no	—
914	C₈×C₁₃	—	2	1	no	—
915	C₈×C₁₃	—	2	1	no	—
916	C₂×H(5,𝔽₂)	—	13	1	no	—
917	C₂×H(5,𝔽₂)	—	13	1	no	—
918	C₂×#137	—	13	1	no	—
919	C₂×AGL(1,ℤ/8)	—	13	1	no	—
920	C₂×AGL(1,ℤ/8)	—	13	1	no	—
921	C₂×AGL(1,ℤ/8)	—	13	1	no	—
922	C₂×#135	—	13	1	no	—
923	C₂×#135	—	13	1	no	—
924	C₂²×SD₁₆	—	13	1	no	—
925	C₂²×D₈	—	13	1	no	—
926	#563	—	26	1	no	—
927	#560	—	26	1	no	—
928	#555	—	26	1	no	—
929	#553	—	13	1	no	—
930	#553	—	13	1	no	—
931	#552	—	13	1	no	—
932	#552	—	13	1	no	—
933	#551	—	26	1	no	—
934	#548	—	13	1	no	—
935	#548	—	13	1	no	—
936	#547	—	13	1	no	—
937	#547	—	13	1	no	—
938	#547	—	26	1	no	—
939	#546	—	13	1	no	—
940	#546	—	13	1	no	—
941	#546	—	13	1	no	—
942	#546	—	13	1	no	—
943	#546	—	13	1	no	—
944	#546	—	13	1	no	—
945	#546	—	26	1	no	—
946	#546	—	26	1	no	—
947	D₄²	—	13	1	no	—
948	D₄²	—	13	1	no	—
949	D₄²	—	26	1	no	—
950	#540	—	26	1	no	—
951	#540	—	26	1	no	—
952	#538	—	26	1	no	—
953	#538	—	26	1	no	—
954	#537	—	13	1	no	—
955	#537	—	13	1	no	—
956	#537	—	13	1	no	—
957	#537	—	13	1	no	—
958	#536	—	13	1	no	—
959	#535	—	13	1	no	—
960	#534	—	26	1	no	—
961	#534	—	26	1	no	—
962	#532	—	13	1	no	—
963	#532	C₂×D₁₃	1	1	yes	characteristic
964	#529	—	13	1	no	—
965	#529	—	13	1	no	—
966	C₂×#121	—	26	1	no	—
967	C₂×#121	—	26	1	no	—
968	C₂×C₄×D₄	—	13	1	no	—
969	#497	—	13	1	no	—
970	#496	—	13	1	no	—
971	#495	—	13	1	no	—
972	#495	—	13	1	no	—
973	#491	—	13	1	no	—
974	#490	—	13	1	no	—
975	#488	—	13	1	no	—
976	#488	—	13	1	no	—
977	#485	—	13	1	no	—
978	#485	—	13	1	no	—
979	#484	—	13	1	no	—
980	#484	—	13	1	no	—
981	#483	—	13	1	no	—
982	#483	—	13	1	no	—
983	#482	—	13	1	no	—
984	#482	—	13	1	no	—
985	#481	—	13	1	no	—
986	#481	—	13	1	no	—
987	#480	—	13	1	no	—
988	#480	—	13	1	no	—
989	#478	—	13	1	no	—
990	#478	—	13	1	no	—
991	#478	—	13	1	no	—
992	#478	—	13	1	no	—
993	#470	—	13	1	no	—
994	#470	—	13	1	no	—
995	#469	—	13	1	no	—
996	#469	—	13	1	no	—
997	#468	—	13	1	no	—
998	#468	—	13	1	no	—
999	#468	—	13	1	no	—
1000	#468	—	13	1	no	—
1001	#467	—	13	1	no	—
1002	#467	—	13	1	no	—
1003	#466	—	13	1	no	—
1004	#466	—	13	1	no	—
1005	#465	—	13	1	no	—
1006	#465	—	13	1	no	—
1007	#465	—	13	1	no	—
1008	#465	—	13	1	no	—
1009	#464	—	13	1	no	—
1010	#464	—	13	1	no	—
1011	#463	—	13	1	no	—
1012	#463	—	13	1	no	—
1013	#463	—	13	1	no	—
1014	#463	—	13	1	no	—
1015	#463	—	13	1	no	—
1016	#463	—	13	1	no	—
1017	#462	—	13	1	no	—
1018	#461	—	13	1	no	—
1019	#460	—	13	1	no	—
1020	#459	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#452	—	13	1	no	—
1024	#452	—	13	1	no	—
1025	#452	—	13	1	no	—
1026	#452	—	13	1	no	—
1027	#452	—	13	1	no	—
1028	#452	—	13	1	no	—
1029	#452	—	13	1	no	—
1030	#452	—	13	1	no	—
1031	#451	—	13	1	no	—
1032	#450	—	13	1	no	—
1033	#450	—	13	1	no	—
1034	#450	—	13	1	no	—
1035	#450	—	13	1	no	—
1036	#450	—	13	1	no	—
1037	#450	—	13	1	no	—
1038	#450	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#449	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#449	—	13	1	no	—
1044	#449	—	13	1	no	—
1045	#449	—	13	1	no	—
1046	#449	—	13	1	no	—
1047	#449	—	13	1	no	—
1048	#449	—	13	1	no	—
1049	#448	—	13	1	no	—
1050	#447	—	13	1	no	—
1051	#447	—	13	1	no	—
1052	#447	—	13	1	no	—
1053	#447	—	13	1	no	—
1054	#447	—	13	1	no	—
1055	#447	—	13	1	no	—
1056	#447	—	13	1	no	—
1057	#442	—	13	1	no	—
1058	#442	—	13	1	no	—
1059	#440	—	13	1	no	—
1060	#440	—	13	1	no	—
1061	C₄×SD₁₆	—	13	1	no	—
1062	C₄×SD₁₆	—	13	1	no	—
1063	C₄×D₈	—	13	1	no	—
1064	C₄×D₈	—	13	1	no	—
1065	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
1066	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
1067	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1068	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1069	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1070	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1071	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1072	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1073	#432	C₂×D₁₃	1	1	yes	characteristic, complemented
1074	#431	C₂×D₁₃	1	1	yes	characteristic, complemented
1075	#418	—	13	1	no	—
1076	#418	—	13	1	no	—
1077	#417	—	13	1	no	—
1078	#417	—	13	1	no	—
1079	#416	—	13	1	no	—
1080	#416	—	13	1	no	—
1081	C₂×#102	—	13	1	no	—
1082	C₂×#102	—	13	1	no	—
1083	#408	C₂×D₁₃	1	1	yes	characteristic, complemented
1084	#408	C₂×D₁₃	1	1	yes	characteristic, complemented
1085	#408	C₂×D₁₃	1	1	yes	characteristic, complemented
1086	#408	C₂×D₁₃	1	1	yes	characteristic, complemented
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	1	no	—
1093	C₂²×C₁₃	—	2	1	no	—
1094	C₂²×C₁₃	—	2	1	no	—
1095	C₂²×C₁₃	—	2	1	no	—
1096	C₂²×C₁₃	—	2	1	no	—
1097	C₂²×C₁₃	—	2	1	no	—
1098	C₂²×C₁₃	—	2	1	no	—
1099	C₂²×C₁₃	—	2	1	no	—
1100	C₂²×C₁₃	—	2	1	no	—
1101	C₂²×C₁₃	—	2	1	no	—
1102	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1103	C₂×D₁₃	—	2	2	no	—
1104	C₂×D₁₃	—	2	2	no	—
1105	C₂×D₁₃	—	4	1	no	—
1106	C₂×D₁₃	—	4	1	no	—
1107	C₂×D₁₃	—	4	1	no	—
1108	C₂×D₁₃	—	4	1	no	—
1109	C₂×D₁₃	—	4	1	no	—
1110	C₂×D₁₃	—	4	1	no	—
1111	C₂×D₁₃	—	4	1	no	—
1112	C₂×D₁₃	—	4	1	no	—
1113	C₂×D₁₃	—	4	1	no	—
1114	C₂×D₁₃	—	4	1	no	—
1115	C₂×D₁₃	—	4	1	no	—
1116	C₂×D₁₃	—	4	1	no	—
1117	C₂×D₁₃	—	4	1	no	—
1118	C₂×D₁₃	—	4	1	no	—
1119	C₂×D₁₃	—	4	1	no	—
1120	C₂×D₁₃	—	4	1	no	—
1121	C₂×D₁₃	—	8	4	no	—
1122	C₂×D₁₃	—	16	2	no	—
1123	C₂×D₁₃	—	16	2	no	—
1124	C₂×D₁₃	—	16	2	no	—
1125	C₂×D₁₃	—	16	2	no	—
1126	C₂×D₁₃	—	16	2	no	—
1127	C₄×C₁₃	—	2	1	no	—
1128	C₄×C₁₃	—	2	1	no	—
1129	C₄×C₁₃	—	2	1	no	—
1130	C₄×C₁₃	—	2	1	no	—
1131	C₄×C₁₃	—	2	1	no	—
1132	C₄×C₁₃	—	2	1	no	—
1133	C₄×C₁₃	—	2	1	no	—
1134	C₄×C₁₃	—	2	1	no	—
1135	C₄×C₁₃	—	2	1	no	—
1136	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1137	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1138	Dic₁₃	—	4	1	no	—
1139	Dic₁₃	—	4	1	no	—
1140	Dic₁₃	—	4	1	no	—
1141	Dic₁₃	—	4	1	no	—
1142	Dic₁₃	—	4	1	no	—
1143	Dic₁₃	—	4	1	no	—
1144	Dic₁₃	—	4	1	no	—
1145	Dic₁₃	—	4	1	no	—
1146	Dic₁₃	—	4	1	no	—
1147	Dic₁₃	—	4	1	no	—
1148	H(5,𝔽₂)	—	52	2	no	—
1149	H(5,𝔽₂)	—	52	2	no	—
1150	H(5,𝔽₂)	—	52	2	no	—
1151	H(5,𝔽₂)	—	52	2	no	—
1152	C₂×#41	—	13	1	no	—
1153	C₂×#41	—	13	1	no	—
1154	C₂×#41	—	13	1	no	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	13	1	no	—
1157	C₂×#41	—	13	1	no	—
1158	C₂×#41	—	13	1	no	—
1159	C₂×#41	—	13	1	no	—
1160	C₂×#41	—	26	1	no	—
1161	C₂×#41	—	26	1	no	—
1162	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂²×Q₈	—	13	1	no	—
1165	C₂²×D₄	—	13	1	no	—
1166	C₂²×D₄	—	13	1	no	—
1167	C₂²×D₄	—	13	1	no	—
1168	C₂²×D₄	—	13	1	no	—
1169	C₂²×D₄	—	13	1	no	—
1170	C₂²×D₄	—	13	1	no	—
1171	C₂²×D₄	—	26	1	no	—
1172	C₂²×D₄	—	26	1	no	—
1173	C₂²×D₄	—	26	1	no	—
1174	C₂²×D₄	—	26	1	no	—
1175	C₂²×D₄	—	26	1	no	—
1176	C₂²×D₄	—	26	1	no	—
1177	C₂²×D₄	—	26	1	no	—
1178	C₂²×D₄	—	26	1	no	—
1179	C₂³×C₄	—	26	1	no	—
1180	#137	—	52	2	no	—
1181	AGL(1,ℤ/8)	—	52	2	no	—
1182	AGL(1,ℤ/8)	—	52	2	no	—
1183	AGL(1,ℤ/8)	—	52	2	no	—
1184	#135	—	52	2	no	—
1185	#135	—	52	2	no	—
1186	C₂×Q₁₆	—	13	1	no	—
1187	C₂×Q₁₆	—	13	1	no	—
1188	C₂×Q₁₆	—	13	1	no	—
1189	C₂×Q₁₆	—	13	1	no	—
1190	C₂×SD₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	13	1	no	—
1193	C₂×SD₁₆	—	13	1	no	—
1194	C₂×SD₁₆	—	13	1	no	—
1195	C₂×SD₁₆	—	13	1	no	—
1196	C₂×SD₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	13	1	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	—	13	1	no	—
1200	C₂×SD₁₆	—	13	1	no	—
1201	C₂×SD₁₆	—	13	1	no	—
1202	C₂×SD₁₆	—	52	2	no	—
1203	C₂×D₈	—	13	1	no	—
1204	C₂×D₈	—	13	1	no	—
1205	C₂×D₈	—	13	1	no	—
1206	C₂×D₈	—	13	1	no	—
1207	C₂×D₈	—	13	1	no	—
1208	C₂×D₈	—	13	1	no	—
1209	C₂×D₈	—	13	1	no	—
1210	C₂×D₈	—	13	1	no	—
1211	C₂×D₈	—	52	2	no	—
1212	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1213	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1214	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1215	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1216	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1217	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1218	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1219	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1220	C₄⋊Q₈	—	13	1	no	—
1221	C₄⋊Q₈	—	26	1	no	—
1222	C₄⋊Q₈	D₅₂	1	1	yes	characteristic
1223	#127	—	13	1	no	—
1224	#127	—	26	1	no	—
1225	#127	D₅₂	1	1	yes	characteristic
1226	#126	—	26	1	no	—
1227	#126	—	26	1	no	—
1228	#126	—	26	1	no	—
1229	#126	—	26	1	no	—
1230	#126	—	26	1	no	—
1231	#126	—	26	1	no	—
1232	#125	—	13	1	no	—
1233	#125	—	13	1	no	—
1234	#125	—	26	1	no	—
1235	#125	—	26	1	no	—
1236	#124	—	13	1	no	—
1237	#124	—	13	1	no	—
1238	#124	—	13	1	no	—
1239	#124	—	13	1	no	—
1240	#124	—	26	1	no	—
1241	#124	—	26	1	no	—
1242	#124	—	26	1	no	—
1243	#124	—	26	1	no	—
1244	#124	D₅₂	1	1	yes	characteristic
1245	#124	D₅₂	1	1	yes	characteristic
1246	#123	—	26	1	no	—
1247	#123	—	26	1	no	—
1248	#123	—	26	1	no	—
1249	#123	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	#123	—	26	1	no	—
1253	#123	—	26	1	no	—
1254	#123	—	26	1	no	—
1255	#123	—	26	1	no	—
1256	#123	—	26	1	no	—
1257	#123	—	26	1	no	—
1258	#123	—	26	1	no	—
1259	#123	—	26	1	no	—
1260	#123	—	26	1	no	—
1261	#123	—	26	1	no	—
1262	#123	—	26	1	no	—
1263	#123	—	26	1	no	—
1264	C₂²⋊Q₈	—	13	1	no	—
1265	C₂²⋊Q₈	—	13	1	no	—
1266	C₂²⋊Q₈	—	13	1	no	—
1267	C₂²⋊Q₈	—	13	1	no	—
1268	C₂²⋊Q₈	—	13	1	no	—
1269	C₂²⋊Q₈	—	13	1	no	—
1270	C₂²⋊Q₈	—	13	1	no	—
1271	C₂²⋊Q₈	—	13	1	no	—
1272	C₂²⋊Q₈	—	13	1	no	—
1273	C₂²⋊Q₈	—	13	1	no	—
1274	C₂²⋊Q₈	—	26	1	no	—
1275	C₂²⋊Q₈	—	26	1	no	—
1276	C₂²⋊Q₈	—	26	1	no	—
1277	C₂²⋊Q₈	—	26	1	no	—
1278	C₂²⋊Q₈	—	26	1	no	—
1279	C₂²⋊Q₈	—	26	1	no	—
1280	#121	—	13	1	no	—
1281	#121	—	13	1	no	—
1282	#121	—	13	1	no	—
1283	#121	—	13	1	no	—
1284	#121	—	13	1	no	—
1285	#121	—	13	1	no	—
1286	#121	—	13	1	no	—
1287	#121	—	13	1	no	—
1288	#121	—	13	1	no	—
1289	#121	—	13	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	—	26	1	no	—
1297	#121	—	26	1	no	—
1298	#121	—	26	1	no	—
1299	#121	—	26	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	—	26	1	no	—
1317	#121	—	26	1	no	—
1318	#121	D₅₂	1	1	yes	characteristic
1319	#121	D₅₂	1	1	yes	characteristic
1320	#121	D₅₂	1	1	yes	characteristic
1321	#121	D₅₂	1	1	yes	characteristic
1322	#120	—	26	1	no	—
1323	#120	—	26	1	no	—
1324	#120	—	26	1	no	—
1325	#120	—	26	1	no	—
1326	#120	—	26	1	no	—
1327	#120	—	26	1	no	—
1328	#120	—	26	1	no	—
1329	#120	—	26	1	no	—
1330	#120	—	26	1	no	—
1331	#120	—	26	1	no	—
1332	#120	—	26	1	no	—
1333	#120	—	26	1	no	—
1334	C₄×Q₈	—	13	1	no	—
1335	C₄×Q₈	—	13	1	no	—
1336	C₄×D₄	—	13	1	no	—
1337	C₄×D₄	—	13	1	no	—
1338	C₄×D₄	—	13	1	no	—
1339	C₄×D₄	—	13	1	no	—
1340	C₄×D₄	—	13	1	no	—
1341	C₄×D₄	—	13	1	no	—
1342	C₄×D₄	—	26	1	no	—
1343	C₄×D₄	—	26	1	no	—
1344	C₄×D₄	—	26	1	no	—
1345	C₄×D₄	—	26	1	no	—
1346	C₄×D₄	—	26	1	no	—
1347	C₄×D₄	—	26	1	no	—
1348	C₄×D₄	—	26	1	no	—
1349	C₄×D₄	—	26	1	no	—
1350	C₄×D₄	—	26	1	no	—
1351	C₄×D₄	—	26	1	no	—
1352	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1353	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1354	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1355	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1356	#117	—	13	1	no	—
1357	#117	—	13	1	no	—
1358	#117	—	26	1	no	—
1359	#117	—	26	1	no	—
1360	#117	—	26	1	no	—
1361	#117	—	26	1	no	—
1362	C₂×C₄⋊C₄	—	13	1	no	—
1363	C₂×C₄⋊C₄	—	13	1	no	—
1364	C₂×C₄⋊C₄	—	13	1	no	—
1365	C₂×C₄⋊C₄	—	26	1	no	—
1366	C₂×C₄⋊C₄	—	26	1	no	—
1367	C₂×C₂²⋊C₄	—	26	1	no	—
1368	C₂×C₂²⋊C₄	—	26	1	no	—
1369	C₂×C₂²⋊C₄	—	26	1	no	—
1370	C₂×C₂²⋊C₄	—	26	1	no	—
1371	C₂×C₂²⋊C₄	—	26	1	no	—
1372	C₂×C₂²⋊C₄	—	26	1	no	—
1373	C₂×C₂²⋊C₄	—	26	1	no	—
1374	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1375	#107	—	13	1	no	—
1376	#107	—	13	1	no	—
1377	#107	—	13	1	no	—
1378	#107	—	13	1	no	—
1379	#106	—	13	1	no	—
1380	#106	—	13	1	no	—
1381	#106	—	13	1	no	—
1382	#106	—	13	1	no	—
1383	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1384	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1385	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1386	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	—	13	1	no	—
1399	#102	—	13	1	no	—
1400	#102	—	13	1	no	—
1401	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	—	13	1	no	—
1405	#102	—	13	1	no	—
1406	#102	—	13	1	no	—
1407	#102	—	13	1	no	—
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1420	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1421	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1422	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1423	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1424	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1425	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1426	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1427	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1428	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1429	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1430	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1431	#97	C₂²×D₁₃	1	1	yes	characteristic
1432	#97	C₂²×D₁₃	1	1	yes	characteristic
1433	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1434	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1435	C₂×C₁₃	—	4	1	no	—
1436	C₂×C₁₃	—	4	1	no	—
1437	C₂×C₁₃	—	4	1	no	—
1438	C₂×C₁₃	—	4	1	no	—
1439	C₂×C₁₃	—	4	1	no	—
1440	C₂×C₁₃	#3484	1	1	yes	characteristic
1441	C₂×C₁₃	#3584	1	1	yes	characteristic
1442	C₂×C₁₃	#3585	1	1	yes	characteristic
1443	D₁₃	—	4	2	no	—
1444	D₁₃	—	4	2	no	—
1445	D₁₃	—	8	1	no	—
1446	D₁₃	—	8	1	no	—
1447	D₁₃	—	8	1	no	—
1448	D₁₃	—	8	1	no	—
1449	C₂⁴	—	26	1	no	—
1450	C₂⁴	—	26	1	no	—
1451	C₂⁴	—	26	1	no	—
1452	C₂⁴	—	26	1	no	—
1453	C₂⁴	—	26	1	no	—
1454	C₂⁴	—	26	1	no	—
1455	#41	—	4	1	no	—
1456	#41	—	4	1	no	—
1457	#41	—	4	1	no	—
1458	#41	—	4	1	no	—
1459	#41	—	26	2	no	—
1460	#41	—	26	2	no	—
1461	#41	—	26	2	no	—
1462	#41	—	26	2	no	—
1463	#41	—	52	1	no	—
1464	#41	—	52	1	no	—
1465	#41	—	52	1	no	—
1466	#41	—	52	1	no	—
1467	#41	—	52	1	no	—
1468	#41	—	52	1	no	—
1469	#41	—	52	1	no	—
1470	#41	—	52	1	no	—
1471	#41	—	52	1	no	—
1472	#41	—	52	1	no	—
1473	#41	—	52	1	no	—
1474	#41	—	52	1	no	—
1475	#41	—	52	4	no	—
1476	#41	—	52	4	no	—
1477	C₂×Q₈	—	13	1	no	—
1478	C₂×Q₈	—	13	1	no	—
1479	C₂×Q₈	—	13	1	no	—
1480	C₂×Q₈	—	13	1	no	—
1481	C₂×Q₈	—	26	1	no	—
1482	C₂×Q₈	—	52	1	no	—
1483	C₂×Q₈	—	52	1	no	—
1484	C₂×Q₈	C₂×D₅₂	1	1	yes	characteristic
1485	C₂×Q₈	C₂×D₅₂	1	1	yes	characteristic
1486	C₂×D₄	—	13	1	no	—
1487	C₂×D₄	—	13	1	no	—
1488	C₂×D₄	—	13	1	no	—
1489	C₂×D₄	—	13	1	no	—
1490	C₂×D₄	—	13	1	no	—
1491	C₂×D₄	—	13	1	no	—
1492	C₂×D₄	—	26	2	no	—
1493	C₂×D₄	—	26	2	no	—
1494	C₂×D₄	—	26	2	no	—
1495	C₂×D₄	—	26	2	no	—
1496	C₂×D₄	—	26	2	no	—
1497	C₂×D₄	—	26	2	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	26	1	no	—
1500	C₂×D₄	—	26	1	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	1	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	26	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	1	no	—
1516	C₂×D₄	—	26	1	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	52	1	no	—
1525	C₂×D₄	—	52	1	no	—
1526	C₂×D₄	—	52	1	no	—
1527	C₂×D₄	—	52	1	no	—
1528	C₂×D₄	—	52	1	no	—
1529	C₂×D₄	—	52	1	no	—
1530	C₂×D₄	—	52	4	no	—
1531	C₂×D₄	—	52	4	no	—
1532	C₂×D₄	—	52	4	no	—
1533	C₂×D₄	—	52	4	no	—
1534	C₂×D₄	—	52	4	no	—
1535	C₂×D₄	—	52	4	no	—
1536	C₂×D₄	—	104	2	no	—
1537	C₂×D₄	—	104	2	no	—
1538	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1539	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1540	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1541	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1542	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1543	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1544	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1545	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1546	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1547	C₂×D₄	C₂×D₅₂	1	1	yes	characteristic
1548	C₂²×C₄	—	26	1	no	—
1549	C₂²×C₄	—	26	1	no	—
1550	C₂²×C₄	—	26	1	no	—
1551	C₂²×C₄	—	26	1	no	—
1552	C₂²×C₄	—	26	1	no	—
1553	C₂²×C₄	—	26	1	no	—
1554	C₂²×C₄	—	26	1	no	—
1555	C₂²×C₄	—	26	1	no	—
1556	C₂²×C₄	—	26	1	no	—
1557	C₂²×C₄	—	26	1	no	—
1558	C₂²×C₄	—	26	1	no	—
1559	C₂²×C₄	—	26	1	no	—
1560	C₂²×C₄	—	26	1	no	—
1561	C₂²×C₄	—	26	1	no	—
1562	C₂²×C₄	—	26	1	no	—
1563	C₂²×C₄	—	26	1	no	—
1564	C₂²×C₄	—	26	1	no	—
1565	C₂²×C₄	—	26	1	no	—
1566	C₂²×C₄	—	104	2	no	—
1567	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
1568	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
1569	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1570	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1574	Q₁₆	—	52	1	no	—
1575	Q₁₆	—	52	1	no	—
1576	Q₁₆	—	52	1	no	—
1577	Q₁₆	—	52	1	no	—
1578	SD₁₆	—	26	2	no	—
1579	SD₁₆	—	26	2	no	—
1580	SD₁₆	—	26	2	no	—
1581	SD₁₆	—	26	2	no	—
1582	SD₁₆	—	52	1	no	—
1583	SD₁₆	—	52	1	no	—
1584	SD₁₆	—	52	1	no	—
1585	SD₁₆	—	52	1	no	—
1586	SD₁₆	—	52	1	no	—
1587	SD₁₆	—	52	1	no	—
1588	SD₁₆	—	52	1	no	—
1589	SD₁₆	—	52	1	no	—
1590	D₈	—	26	2	no	—
1591	D₈	—	26	2	no	—
1592	D₈	—	26	2	no	—
1593	D₈	—	26	2	no	—
1594	D₈	—	52	1	no	—
1595	D₈	—	52	1	no	—
1596	D₈	—	52	1	no	—
1597	D₈	—	52	1	no	—
1598	M₁₆	—	4	1	no	—
1599	M₁₆	—	4	1	no	—
1600	M₁₆	—	4	1	no	—
1601	M₁₆	—	4	1	no	—
1602	C₂×C₈	—	4	1	no	—
1603	C₂×C₈	—	4	1	no	—
1604	C₂×C₈	—	4	1	no	—
1605	C₂×C₈	—	4	1	no	—
1606	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1607	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1608	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1609	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1610	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1611	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1612	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1613	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1614	C₄⋊C₄	—	13	1	no	—
1615	C₄⋊C₄	—	13	1	no	—
1616	C₄⋊C₄	—	13	1	no	—
1617	C₄⋊C₄	—	13	1	no	—
1618	C₄⋊C₄	—	13	1	no	—
1619	C₄⋊C₄	—	13	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	—	26	1	no	—
1626	C₄⋊C₄	—	26	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	—	26	1	no	—
1635	C₄⋊C₄	—	26	1	no	—
1636	C₄⋊C₄	—	26	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	—	26	1	no	—
1641	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1642	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1643	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1644	C₄⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1682	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1683	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1684	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1685	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1686	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1687	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1688	C₂²⋊C₄	C₂×D₅₂	1	1	yes	characteristic
1689	C₄²	—	26	1	no	—
1690	C₄²	—	26	1	no	—
1691	C₄²	—	26	1	no	—
1692	C₄²	—	26	1	no	—
1693	C₄²	C₂×D₅₂	1	1	yes	characteristic
1694	C₄²	C₂×D₅₂	1	1	yes	characteristic
1695	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1696	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1697	C₁₃	#61678	1	1	yes	characteristic, complemented, Sylow
1698	C₂³	—	26	4	no	—
1699	C₂³	—	26	1	no	—
1700	C₂³	—	26	1	no	—
1701	C₂³	—	26	1	no	—
1702	C₂³	—	26	1	no	—
1703	C₂³	—	26	1	no	—
1704	C₂³	—	26	1	no	—
1705	C₂³	—	52	2	no	—
1706	C₂³	—	52	2	no	—
1707	C₂³	—	52	2	no	—
1708	C₂³	—	52	2	no	—
1709	C₂³	—	104	1	no	—
1710	C₂³	—	104	1	no	—
1711	C₂³	—	104	1	no	—
1712	C₂³	—	104	1	no	—
1713	C₂³	—	104	1	no	—
1714	C₂³	—	104	1	no	—
1715	C₂³	—	104	1	no	—
1716	C₂³	—	104	1	no	—
1717	C₂³	—	104	1	no	—
1718	C₂³	—	104	1	no	—
1719	C₂³	—	104	1	no	—
1720	C₂³	—	104	1	no	—
1721	C₂³	—	104	1	no	—
1722	C₂³	C₂²×D₅₂	1	1	yes	characteristic
1723	C₂³	C₂²×D₅₂	1	1	yes	characteristic
1724	C₂³	C₂²×D₅₂	1	1	yes	characteristic
1725	C₂³	C₂²×D₅₂	1	1	yes	characteristic
1726	C₂³	C₂²×D₅₂	1	1	yes	characteristic
1727	Q₈	—	4	1	no	—
1728	Q₈	—	4	1	no	—
1729	Q₈	—	26	1	no	—
1730	Q₈	—	26	1	no	—
1731	Q₈	—	26	1	no	—
1732	Q₈	—	26	1	no	—
1733	Q₈	—	26	1	no	—
1734	Q₈	—	26	1	no	—
1735	Q₈	—	26	1	no	—
1736	Q₈	—	26	1	no	—
1737	Q₈	—	104	1	no	—
1738	D₄	—	4	1	no	—
1739	D₄	—	4	1	no	—
1740	D₄	—	4	1	no	—
1741	D₄	—	4	1	no	—
1742	D₄	—	4	1	no	—
1743	D₄	—	4	1	no	—
1744	D₄	—	4	1	no	—
1745	D₄	—	4	1	no	—
1746	D₄	—	4	1	no	—
1747	D₄	—	4	1	no	—
1748	D₄	—	13	2	no	—
1749	D₄	—	13	2	no	—
1750	D₄	—	26	4	no	—
1751	D₄	—	26	1	no	—
1752	D₄	—	26	1	no	—
1753	D₄	—	26	1	no	—
1754	D₄	—	26	1	no	—
1755	D₄	—	26	1	no	—
1756	D₄	—	26	1	no	—
1757	D₄	—	26	1	no	—
1758	D₄	—	26	1	no	—
1759	D₄	—	26	1	no	—
1760	D₄	—	26	1	no	—
1761	D₄	—	52	2	no	—
1762	D₄	—	52	2	no	—
1763	D₄	—	52	2	no	—
1764	D₄	—	52	2	no	—
1765	D₄	—	52	2	no	—
1766	D₄	—	52	2	no	—
1767	D₄	—	52	2	no	—
1768	D₄	—	52	2	no	—
1769	D₄	—	52	2	no	—
1770	D₄	—	52	2	no	—
1771	D₄	—	52	2	no	—
1772	D₄	—	104	1	no	—
1773	D₄	—	104	1	no	—
1774	D₄	—	104	1	no	—
1775	D₄	—	104	1	no	—
1776	D₄	—	104	1	no	—
1777	D₄	—	104	1	no	—
1778	D₄	—	104	1	no	—
1779	D₄	—	104	1	no	—
1780	D₄	—	104	1	no	—
1781	D₄	—	104	1	no	—
1782	D₄	—	104	1	no	—
1783	D₄	—	104	1	no	—
1784	D₄	—	104	1	no	—
1785	D₄	—	104	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	2	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	4	1	no	—
1797	C₂×C₄	—	4	1	no	—
1798	C₂×C₄	—	26	1	no	—
1799	C₂×C₄	—	26	1	no	—
1800	C₂×C₄	—	26	1	no	—
1801	C₂×C₄	—	26	1	no	—
1802	C₂×C₄	—	26	1	no	—
1803	C₂×C₄	—	26	1	no	—
1804	C₂×C₄	—	26	1	no	—
1805	C₂×C₄	—	26	1	no	—
1806	C₂×C₄	—	26	1	no	—
1807	C₂×C₄	—	26	1	no	—
1808	C₂×C₄	—	52	2	no	—
1809	C₂×C₄	—	52	2	no	—
1810	C₂×C₄	—	52	2	no	—
1811	C₂×C₄	—	52	2	no	—
1812	C₂×C₄	—	52	2	no	—
1813	C₂×C₄	—	52	2	no	—
1814	C₂×C₄	—	52	2	no	—
1815	C₂×C₄	—	52	2	no	—
1816	C₂×C₄	—	104	1	no	—
1817	C₂×C₄	—	104	1	no	—
1818	C₂×C₄	—	104	1	no	—
1819	C₂×C₄	—	104	1	no	—
1820	C₂×C₄	—	104	1	no	—
1821	C₂×C₄	—	104	1	no	—
1822	C₂×C₄	—	104	1	no	—
1823	C₂×C₄	—	104	1	no	—
1824	C₂×C₄	—	104	1	no	—
1825	C₂×C₄	—	104	1	no	—
1826	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1827	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1828	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1829	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1830	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1831	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1832	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1833	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1834	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
1835	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1836	C₈	—	2	1	no	—
1837	C₈	—	2	1	no	—
1838	C₈	—	2	1	no	—
1839	C₈	—	2	1	no	—
1840	C₈	—	2	1	no	—
1841	C₈	—	2	1	no	—
1842	C₈	—	2	1	no	—
1843	C₈	—	2	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	1	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	2	1	no	—
1850	C₂²	—	2	1	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	1	no	—
1854	C₂²	—	2	1	no	—
1855	C₂²	—	2	1	no	—
1856	C₂²	—	2	1	no	—
1857	C₂²	—	2	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	26	2	no	—
1860	C₂²	—	26	2	no	—
1861	C₂²	—	52	1	no	—
1862	C₂²	—	52	1	no	—
1863	C₂²	—	52	1	no	—
1864	C₂²	—	52	1	no	—
1865	C₂²	—	52	1	no	—
1866	C₂²	—	52	1	no	—
1867	C₂²	—	52	1	no	—
1868	C₂²	—	52	1	no	—
1869	C₂²	—	52	1	no	—
1870	C₂²	—	52	1	no	—
1871	C₂²	—	52	1	no	—
1872	C₂²	—	52	1	no	—
1873	C₂²	—	52	1	no	—
1874	C₂²	—	52	1	no	—
1875	C₂²	—	52	1	no	—
1876	C₂²	—	52	1	no	—
1877	C₂²	—	104	4	no	—
1878	C₂²	—	208	2	no	—
1879	C₂²	—	208	2	no	—
1880	C₂²	—	208	2	no	—
1881	C₂²	—	208	2	no	—
1882	C₂²	—	208	2	no	—
1883	C₂²	C₂³×D₅₂	1	1	yes	characteristic
1884	C₄	—	2	1	no	—
1885	C₄	—	2	1	no	—
1886	C₄	—	2	1	no	—
1887	C₄	—	2	1	no	—
1888	C₄	—	2	1	no	—
1889	C₄	—	2	1	no	—
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	2	1	no	—
1893	C₄	—	52	1	no	—
1894	C₄	—	52	1	no	—
1895	C₄	—	52	1	no	—
1896	C₄	—	52	1	no	—
1897	C₄	—	52	1	no	—
1898	C₄	—	52	1	no	—
1899	C₄	—	52	1	no	—
1900	C₄	—	52	1	no	—
1901	C₄	—	52	1	no	—
1902	C₄	—	52	1	no	—
1903	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1904	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1905	C₂	—	4	1	no	—
1906	C₂	—	4	1	no	—
1907	C₂	—	4	1	no	—
1908	C₂	—	4	1	no	—
1909	C₂	—	4	1	no	—
1910	C₂	—	52	2	no	—
1911	C₂	—	52	2	no	—
1912	C₂	—	104	1	no	—
1913	C₂	—	104	1	no	—
1914	C₂	—	104	1	no	—
1915	C₂	—	104	1	no	—
1916	C₂	#13128472	1	1	yes	characteristic
1917	C₂	#13129610	1	1	yes	characteristic
1918	C₂	#13129617	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₅₂
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#2981	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#2981	D₁₃
hypocenter	C₁₃	#61678
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #532 ◁ #2981

Complements

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

N	H ≅ G/N	type
1. #13129263	C₂	semidirect
2. #13128598	C₂	semidirect
3. #13127054	C₂	semidirect
4. #13127039	C₂	semidirect
5. #13126979	C₂	semidirect
6. #13126934	C₂	semidirect
7. #13126859	C₂	semidirect
8. #13126814	C₂	semidirect
9. #13126688	C₂	semidirect
10. #13126673	C₂	semidirect
11. #13126548	C₂	semidirect
12. #13126523	C₂	semidirect
13. #13126472	C₂	semidirect
14. #13126448	C₂	semidirect
15. #13126396	C₂	semidirect
16. #13126366	C₂	semidirect
17. #13126336	C₂	semidirect
18. #13126321	C₂	semidirect
19. #13125875	C₂	semidirect
20. #13125814	C₂	semidirect
21. #13125748	C₂	semidirect
22. #13125738	C₂	semidirect
23. #13125720	C₂	semidirect
24. #13125690	C₂	semidirect
25. #13124976	C₂	semidirect
26. #13124885	C₂	semidirect
27. #13124143	C₂	semidirect
28. #13124143	C₂	semidirect
29. #13124115	C₂	semidirect
30. #13124106	C₂	semidirect
31. C₁₃×#2981	C₂	semidirect
33. C₂×#88256	C₂²	semidirect
36. #11719538	C₂²	semidirect
37. #11719538	C₂²	semidirect
38. #11719538	C₂²	semidirect
39. #11719535	C₂²	semidirect
40. #11719530	C₂²	semidirect
41. C₂×#88163	C₂²	semidirect
42. C₂×#88162	C₂²	semidirect
43. C₂×#88162	C₂²	semidirect
44. C₂×#88162	C₂²	semidirect
45. C₂×#88158	C₂²	semidirect
46. C₂×#88158	C₂²	semidirect
47. C₂²×D₁₀₄	C₂²	semidirect
48. C₂²×#6095	C₂²	semidirect
65. #11719270	C₂²	semidirect
66. #11719270	C₂²	semidirect
67. #11719257	C₂²	semidirect
68. #11719257	C₂²	semidirect
70. #11719256	C₂²	semidirect
73. #11719255	C₂²	semidirect
74. #11719255	C₂²	semidirect
75. #11719255	C₂²	semidirect
76. #11719255	C₂²	semidirect
78. D₄×D₅₂	C₂²	semidirect
79. #11719246	C₂²	semidirect
80. #11719246	C₂²	semidirect
81. #11719184	C₂²	semidirect
82. #11719184	C₂²	semidirect
83. #11719182	C₂²	semidirect
84. C₂×C₄×D₅₂	C₂²	semidirect
85. C₁₃×#436	C₂²	semidirect
86. C₁₃×#436	C₂²	semidirect
87. C₁₃×#435	C₂²	semidirect
88. C₁₃×#435	C₂²	semidirect
89. C₁₃×#435	C₂²	semidirect
90. C₁₃×#435	C₂²	semidirect
91. C₈×D₄×C₁₃	C₂²	semidirect
92. C₈×D₄×C₁₃	C₂²	semidirect
93. C₁₃×#432	C₂²	semidirect
94. C₁₃×#431	C₂²	semidirect
95. C₁₃×#408	C₂²	semidirect
96. C₁₃×#408	C₂²	semidirect
97. C₁₃×#408	C₂²	semidirect
98. C₁₃×#408	C₂²	semidirect
99. #11718798	C₂²	semidirect
100. #11718798	C₂²	semidirect
101. #11718796	C₂²	semidirect
102. #11718796	C₂²	semidirect
103. #11718795	C₂²	semidirect
104. #11718795	C₂²	semidirect
105. #11718795	C₂²	semidirect
106. #11718795	C₂²	semidirect
107. #11718794	C₂²	semidirect
108. #11718794	C₂²	semidirect
109. #11718792	C₂²	semidirect
110. #11718792	C₂²	semidirect
111. #11718777	C₂²	semidirect
112. #11718777	C₂²	semidirect
113. #11718776	C₂²	semidirect
114. #11718776	C₂²	semidirect
115. #11718775	C₂²	semidirect
116. #11718775	C₂²	semidirect
117. #11718775	C₂²	semidirect
118. #11718775	C₂²	semidirect
119. #11718774	C₂²	semidirect
120. #11718774	C₂²	semidirect
121. C₂×#88061	C₂²	semidirect
122. C₂×#88061	C₂²	semidirect
123. #11718510	C₂²	semidirect
124. #11718509	C₂²	semidirect
125. #11718508	C₂²	semidirect
126. #11718508	C₂²	semidirect
127. #11718508	C₂²	semidirect
128. #11718508	C₂²	semidirect
129. #11718506	C₂²	semidirect
130. #11718506	C₂²	semidirect
131. #11718505	C₂²	semidirect
132. #11718505	C₂²	semidirect
133. #11718505	C₂²	semidirect
134. #11718505	C₂²	semidirect
135. #11718505	C₂²	semidirect
136. #11718505	C₂²	semidirect
137. #11718504	C₂²	semidirect
138. #11718502	C₂²	semidirect
139. #11718400	C₂²	semidirect
140. #11718399	C₂²	semidirect
141. #11718398	C₂²	semidirect
142. #11718398	C₂²	semidirect
143. #11718397	C₂²	semidirect
144. #11718397	C₂²	semidirect
145. #11718396	C₂²	semidirect
146. #11718396	C₂²	semidirect
147. #11718395	C₂²	semidirect
148. #11718395	C₂²	semidirect
149. #11718395	C₂²	semidirect
150. #11718395	C₂²	semidirect
151. #11718395	C₂²	semidirect
152. #11718395	C₂²	semidirect
153. #11718395	C₂²	semidirect
154. #11718395	C₂²	semidirect
155. #11718395	C₂²	semidirect
156. #11718395	C₂²	semidirect
157. #11718394	C₂²	semidirect
158. #11718394	C₂²	semidirect
159. #11718394	C₂²	semidirect
160. #11718394	C₂²	semidirect
161. #11718394	C₂²	semidirect
162. #11718394	C₂²	semidirect
163. #11718394	C₂²	semidirect
164. #11718394	C₂²	semidirect
165. #11718394	C₂²	semidirect
166. #11718394	C₂²	semidirect
169. #11718393	C₂²	semidirect
170. #11718393	C₂²	semidirect
171. #11718393	C₂²	semidirect
172. #11718393	C₂²	semidirect
173. #11718393	C₂²	semidirect
174. #11718392	C₂²	semidirect
175. #11718392	C₂²	semidirect
176. #11718392	C₂²	semidirect
177. #11718392	C₂²	semidirect
178. #11718392	C₂²	semidirect
179. #11718392	C₂²	semidirect
180. #11718392	C₂²	semidirect
181. #11718384	C₂²	semidirect
182. #11718384	C₂²	semidirect
183. #11718383	C₂²	semidirect
184. #11718383	C₂²	semidirect
185. #11718382	C₂²	semidirect
186. #11718382	C₂²	semidirect
187. #11718376	C₂²	semidirect
188. #11718374	C₂²	semidirect
189. #11718373	C₂²	semidirect
190. #11718372	C₂²	semidirect
191. #11718372	C₂²	semidirect
192. #11718371	C₂²	semidirect
193. #11718371	C₂²	semidirect
194. #11718364	C₂²	semidirect
195. #11718358	C₂²	semidirect
196. #11718358	C₂²	semidirect
197. #11718357	C₂²	semidirect
198. #11718357	C₂²	semidirect
199. C₄×D₁₀₄	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. C₄×#6095	C₂²	semidirect
202. C₄×#6095	C₂²	semidirect
769. #2981	D₁₃	semidirect
1065. #436	C₂×D₁₃	semidirect
1066. #436	C₂×D₁₃	semidirect
1067. #435	C₂×D₁₃	semidirect
1068. #435	C₂×D₁₃	semidirect
1069. #435	C₂×D₁₃	semidirect
1070. #435	C₂×D₁₃	semidirect
1071. C₈×D₄	C₂×D₁₃	semidirect
1072. C₈×D₄	C₂×D₁₃	semidirect
1073. #432	C₂×D₁₃	semidirect
1074. #431	C₂×D₁₃	semidirect
1083. #408	C₂×D₁₃	semidirect
1084. #408	C₂×D₁₃	semidirect
1085. #408	C₂×D₁₃	semidirect
1086. #408	C₂×D₁₃	semidirect
1697. C₁₃	#61678	semidirect

Maximal subgroups

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

subgroup	index
#13129263	2
#13128598	2
#13127054	2
#13127039	2
#13126979	2
#13126934	2
#13126859	2
#13126814	2
#13126688	2
#13126673	2
#13126548	2
#13126523	2
#13126472	2
#13126448	2
#13126396	2
#13126366	2
#13126336	2
#13126321	2
#13125875	2
#13125814	2
#13125748	2
#13125738	2
#13125720	2
#13125690	2
#13124976	2
#13124885	2
#13124143	2
#13124115	2
#13124106	2
C₁₃×#2981	2
#61678	13