Subgroups — #16070565

Order 3328.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123183	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123143	C₂	1	1	yes	maximal, characteristic, complemented
3	#13122805	C₂	1	1	yes	maximal, characteristic, complemented
4	#13122802	C₂	1	1	yes	maximal, characteristic, complemented
5	#13122586	C₂	1	1	yes	maximal, characteristic, complemented
6	#13122581	C₂	1	1	yes	maximal, characteristic, complemented
7	#13122320	C₂	1	1	yes	maximal, characteristic, complemented
8	#13122315	C₂	1	1	yes	maximal, characteristic, complemented
9	#13122253	C₂	1	1	yes	maximal, characteristic, complemented
10	#13122247	C₂	1	1	yes	maximal, characteristic, complemented
11	#13121812	C₂	1	1	yes	maximal, characteristic, complemented
12	#13121714	C₂	1	1	yes	maximal, characteristic, complemented
13	#13121713	C₂	1	1	yes	maximal, characteristic, complemented
14	#13121501	C₂	1	1	yes	maximal, characteristic, complemented
15	#13121493	C₂	1	1	yes	maximal, characteristic, complemented
16	#13121490	C₂	1	1	yes	maximal, characteristic, complemented
17	#13121487	C₂	1	1	yes	maximal, characteristic, complemented
18	#13120951	C₂	1	1	yes	maximal, characteristic, complemented
19	#13120807	C₂	1	1	yes	maximal, characteristic, complemented
20	#13119845	C₂	1	1	yes	maximal, characteristic, complemented
21	#13119841	C₂	1	1	yes	maximal, characteristic, complemented
22	#13118558	C₂	1	1	yes	maximal, characteristic, complemented
23	#13118555	C₂	1	1	yes	maximal, characteristic, complemented
24	#13118500	C₂	1	1	yes	maximal, characteristic
25	#13118499	C₂	1	1	yes	maximal, characteristic
26	#13118498	C₂	1	1	yes	maximal, characteristic
27	#13118496	C₂	1	1	yes	maximal, characteristic
28	#13117447	C₂	1	1	yes	maximal, characteristic
29	#13117430	C₂	1	1	yes	maximal, characteristic
30	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2729	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×#88200	C₂²	1	1	yes	characteristic
35	C₂×#88200	C₂²	1	1	yes	characteristic
36	C₂×#88200	C₂²	1	1	yes	characteristic
37	C₂²×#6103	C₂²	1	1	yes	characteristic
38	C₂×#88151	C₂²	1	1	yes	characteristic
39	C₂×#88151	C₂²	1	1	yes	characteristic
40	C₂×#88150	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
49	C₂×#88132	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
51	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#396	C₂²	1	1	yes	characteristic
55	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#393	C₂²	1	1	yes	characteristic
57	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#388	C₂²	1	1	yes	characteristic
60	C₁₃×#388	C₂²	1	1	yes	characteristic
61	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#385	C₂²	1	1	yes	characteristic
63	C₁₃×#385	C₂²	1	1	yes	characteristic
64	#11718892	C₂²	1	1	yes	characteristic
65	#11718891	C₂²	1	1	yes	characteristic, complemented
66	#11718891	C₂²	1	1	yes	characteristic, complemented
67	#11718891	C₂²	1	1	yes	characteristic, complemented
68	#11718890	C₂²	1	1	yes	characteristic, complemented
69	#11718873	C₂²	1	1	yes	characteristic
70	#11718871	C₂²	1	1	yes	characteristic
71	#11718871	C₂²	1	1	yes	characteristic
72	#11718655	C₂²	1	1	yes	characteristic
73	#11718655	C₂²	1	1	yes	characteristic
74	#11718655	C₂²	1	1	yes	characteristic
75	#11718655	C₂²	1	1	yes	characteristic
76	#11718653	C₂²	1	1	yes	characteristic
77	#11718651	C₂²	1	1	yes	characteristic
78	#11718651	C₂²	1	1	yes	characteristic
79	#11718650	C₂²	1	1	yes	characteristic
80	#11718650	C₂²	1	1	yes	characteristic
81	#11718650	C₂²	1	1	yes	characteristic
82	#11718650	C₂²	1	1	yes	characteristic
83	#11718650	C₂²	1	1	yes	characteristic
84	#11718650	C₂²	1	1	yes	characteristic
85	#11718650	C₂²	1	1	yes	characteristic
86	#11718648	C₂²	1	1	yes	characteristic
87	#11718648	C₂²	1	1	yes	characteristic
88	#11718648	C₂²	1	1	yes	characteristic
89	#11718648	C₂²	1	1	yes	characteristic
90	#11718648	C₂²	1	1	yes	characteristic
91	#11718648	C₂²	1	1	yes	characteristic
92	#11718647	C₂²	1	1	yes	characteristic, complemented
93	#11718647	C₂²	1	1	yes	characteristic, complemented
94	#11718646	C₂²	1	1	yes	characteristic, complemented
95	#11718646	C₂²	1	1	yes	characteristic, complemented
96	#11718645	C₂²	1	1	yes	characteristic, complemented
97	#11718645	C₂²	1	1	yes	characteristic, complemented
98	#11718645	C₂²	1	1	yes	characteristic, complemented
99	#11718645	C₂²	1	1	yes	characteristic, complemented
100	#11718644	C₂²	1	1	yes	characteristic, complemented
101	#11718644	C₂²	1	1	yes	characteristic, complemented
102	#11718641	C₂²	1	1	yes	characteristic, complemented
103	#11718641	C₂²	1	1	yes	characteristic, complemented
104	#11718640	C₂²	1	1	yes	characteristic, complemented
105	#11718634	C₂²	1	1	yes	characteristic, complemented
106	#11718634	C₂²	1	1	yes	characteristic, complemented
107	#11718634	C₂²	1	1	yes	characteristic, complemented
108	#11718634	C₂²	1	1	yes	characteristic, complemented
109	#11718633	C₂²	1	1	yes	characteristic, complemented
110	#11718633	C₂²	1	1	yes	characteristic, complemented
111	#11718633	C₂²	1	1	yes	characteristic, complemented
112	#11718633	C₂²	1	1	yes	characteristic, complemented
113	#11718616	C₂²	1	1	yes	characteristic
114	#11718616	C₂²	1	1	yes	characteristic
115	#11718612	C₂²	1	1	yes	characteristic
116	#11718612	C₂²	1	1	yes	characteristic
117	#11718611	C₂²	1	1	yes	characteristic
118	#11718611	C₂²	1	1	yes	characteristic
119	#11718611	C₂²	1	1	yes	characteristic
120	#11718610	C₂²	1	1	yes	characteristic
121	#11718610	C₂²	1	1	yes	characteristic
122	#11718609	C₂²	1	1	yes	characteristic
123	#11718609	C₂²	1	1	yes	characteristic
124	#11718609	C₂²	1	1	yes	characteristic
125	#11718608	C₂²	1	1	yes	characteristic
126	#11718607	C₂²	1	1	yes	characteristic
127	#11718606	C₂²	1	1	yes	characteristic
128	#11718606	C₂²	1	1	yes	characteristic
129	#11718605	C₂²	1	1	yes	characteristic
130	#11718605	C₂²	1	1	yes	characteristic
131	#11718603	C₂²	1	1	yes	characteristic
132	#11718601	C₂²	1	1	yes	characteristic
133	#11718601	C₂²	1	1	yes	characteristic
134	C₄×#6103	C₂²	1	1	yes	characteristic
135	#11718597	C₂²	1	1	yes	characteristic, complemented
136	#11718596	C₂²	1	1	yes	characteristic, complemented
137	#11718594	C₂²	1	1	yes	characteristic, complemented
138	#11718589	C₂²	1	1	yes	characteristic, complemented
139	#11718338	C₂²	1	1	yes	characteristic
140	#11718334	C₂²	1	1	yes	characteristic
141	#11718331	C₂²	1	1	yes	characteristic
142	#11718331	C₂²	1	1	yes	characteristic
143	#11718330	C₂²	1	1	yes	characteristic
144	#11718330	C₂²	1	1	yes	characteristic
145	#11718329	C₂²	1	1	yes	characteristic
146	#11718329	C₂²	1	1	yes	characteristic
147	#11718329	C₂²	1	1	yes	characteristic
148	#11718329	C₂²	1	1	yes	characteristic
149	#11718329	C₂²	1	1	yes	characteristic
150	#11718329	C₂²	1	1	yes	characteristic
151	#11718329	C₂²	1	1	yes	characteristic
152	#11718329	C₂²	1	1	yes	characteristic
153	#11718329	C₂²	1	1	yes	characteristic
154	#11718328	C₂²	1	1	yes	characteristic
155	#11718328	C₂²	1	1	yes	characteristic
156	#11718328	C₂²	1	1	yes	characteristic
157	#11718328	C₂²	1	1	yes	characteristic
158	#11718328	C₂²	1	1	yes	characteristic
159	#11718328	C₂²	1	1	yes	characteristic
160	#11718327	C₂²	1	1	yes	characteristic
161	D₁₃×#95	C₂²	1	1	yes	characteristic
162	D₁₃×#95	C₂²	1	1	yes	characteristic
163	#11718322	C₂²	1	1	yes	characteristic, complemented
164	#11718322	C₂²	1	1	yes	characteristic, complemented
165	#11718321	C₂²	1	1	yes	characteristic, complemented
166	#11718320	C₂²	1	1	yes	characteristic, complemented
167	#11718320	C₂²	1	1	yes	characteristic, complemented
168	#11718320	C₂²	1	1	yes	characteristic, complemented
169	#11718319	C₂²	1	1	yes	characteristic, complemented
170	#11718318	C₂²	1	1	yes	characteristic, complemented
171	#11718318	C₂²	1	1	yes	characteristic, complemented
172	#11718318	C₂²	1	1	yes	characteristic, complemented
173	#11718318	C₂²	1	1	yes	characteristic, complemented
174	#11718317	C₂²	1	1	yes	characteristic, complemented
175	#11718317	C₂²	1	1	yes	characteristic, complemented
176	#11718317	C₂²	1	1	yes	characteristic, complemented
177	#11718317	C₂²	1	1	yes	characteristic, complemented
178	#11718317	C₂²	1	1	yes	characteristic, complemented
179	#11718316	C₂²	1	1	yes	characteristic, complemented
180	#11718315	C₂²	1	1	yes	characteristic, complemented
181	#11718311	C₂²	1	1	yes	characteristic, complemented
182	#11718311	C₂²	1	1	yes	characteristic, complemented
183	#11718308	C₂²	1	1	yes	characteristic, complemented
184	#11718308	C₂²	1	1	yes	characteristic, complemented
185	#11718307	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
201	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
202	C₁₃×C₄⋊Q₈	—	4	2	no	—
203	C₁₃×C₂²⋊Q₈	—	4	2	no	—
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	#88200	—	4	2	no	—
231	#88200	—	4	2	no	—
232	#88200	—	4	2	no	—
233	C₂×#6103	—	4	2	no	—
234	C₂×#6103	C₂³	1	1	yes	characteristic
235	C₂×#6103	C₂³	1	1	yes	characteristic
236	C₂×#6103	C₂³	1	1	yes	characteristic
237	C₂×#6103	C₂³	1	1	yes	characteristic
238	C₂×#6103	C₂³	1	1	yes	characteristic
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	1	yes	characteristic
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	1	yes	characteristic
253	C₂×#6103	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×#6101	C₂³	1	1	yes	characteristic
280	C₂×#6101	C₂³	1	1	yes	characteristic
281	C₂×#6101	C₂³	1	1	yes	characteristic
282	C₂×#6101	C₂³	1	1	yes	characteristic
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	1	yes	characteristic
286	C₂×#6101	C₂³	1	1	yes	characteristic
287	C₂×#6101	C₂³	1	1	yes	characteristic
288	C₂×#6101	C₂³	1	1	yes	characteristic
289	C₂×#6101	C₂³	1	1	yes	characteristic
290	C₂×#6101	C₂³	1	1	yes	characteristic
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×#6101	C₂³	1	1	yes	characteristic
293	C₂×#6101	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	#88151	—	4	2	no	—
301	#88151	—	4	2	no	—
302	#88150	—	4	2	no	—
303	C₄⋊C₄×D₁₃	—	4	2	no	—
304	#88144	—	4	2	no	—
305	#88143	—	4	2	no	—
306	#88143	—	4	2	no	—
307	C₂²⋊C₄×D₁₃	—	4	2	no	—
308	C₂²⋊C₄×D₁₃	—	4	2	no	—
309	C₂²⋊C₄×D₁₃	—	4	2	no	—
310	C₂²⋊C₄×D₁₃	Q₈	1	8	yes	complemented
311	#88132	—	4	2	no	—
312	C₄²×D₁₃	—	4	2	no	—
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#36750	—	13	1	no	maximal, Sylow
362	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂³×D₁₃	—	2	2	no	—
364	C₂³×D₁₃	—	2	2	no	—
365	C₂³×D₁₃	—	4	1	no	—
366	C₂³×D₁₃	—	4	1	no	—
367	C₂³×D₁₃	—	4	1	no	—
368	C₂³×D₁₃	—	4	1	no	—
369	C₂³×D₁₃	C₂×Q₈	1	4	yes	—
370	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
371	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×Q₈×C₁₃	—	2	2	no	—
373	C₂×Q₈×C₁₃	—	2	2	no	—
374	C₂×Q₈×C₁₃	—	4	1	no	—
375	C₂×Q₈×C₁₃	—	4	1	no	—
376	C₂×Q₈×C₁₃	—	4	1	no	—
377	C₂×Q₈×C₁₃	—	4	1	no	—
378	C₂²×C₄×C₁₃	—	4	1	no	—
379	C₂²×C₄×C₁₃	—	4	1	no	—
380	C₂²×C₄×C₁₃	—	4	1	no	—
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₁₃	—	4	1	no	—
396	C₂²×Dic₁₃	—	4	1	no	—
397	C₂²×Dic₁₃	—	4	1	no	—
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂×C₄×D₁₃	—	2	2	no	—
413	C₂×C₄×D₁₃	—	2	2	no	—
414	C₂×C₄×D₁₃	—	2	2	no	—
415	C₂×C₄×D₁₃	—	2	2	no	—
416	C₂×C₄×D₁₃	—	2	2	no	—
417	C₂×C₄×D₁₃	—	2	2	no	—
418	C₂×C₄×D₁₃	—	4	1	no	—
419	C₂×C₄×D₁₃	—	4	1	no	—
420	C₂×C₄×D₁₃	—	4	1	no	—
421	C₂×C₄×D₁₃	—	4	1	no	—
422	C₂×C₄×D₁₃	—	4	1	no	—
423	C₂×C₄×D₁₃	—	4	1	no	—
424	C₂×C₄×D₁₃	—	4	1	no	—
425	C₂×C₄×D₁₃	—	4	1	no	—
426	C₂×C₄×D₁₃	—	4	1	no	—
427	C₂×C₄×D₁₃	—	4	1	no	—
428	C₂×C₄×D₁₃	—	4	1	no	—
429	C₂×C₄×D₁₃	—	4	1	no	—
430	C₂×C₄×D₁₃	—	4	1	no	—
431	C₂×C₄×D₁₃	—	4	1	no	—
432	C₂×C₄×D₁₃	—	4	1	no	—
433	C₂×C₄×D₁₃	—	4	1	no	—
434	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
435	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
436	C₂×Dic₂₆	—	4	1	no	—
437	C₂×Dic₂₆	—	4	1	no	—
438	C₂×Dic₂₆	—	4	1	no	—
439	C₂×Dic₂₆	—	4	1	no	—
440	C₂×Dic₂₆	—	4	1	no	—
441	C₂×Dic₂₆	—	4	1	no	—
442	C₁₃×C₄⋊C₄	—	2	2	no	—
443	C₁₃×C₄⋊C₄	—	2	2	no	—
444	C₁₃×C₄⋊C₄	—	2	2	no	—
445	C₁₃×C₄⋊C₄	—	4	1	no	—
446	C₁₃×C₄⋊C₄	—	4	1	no	—
447	C₁₃×C₄⋊C₄	—	4	1	no	—
448	C₁₃×C₄⋊C₄	—	4	1	no	—
449	C₁₃×C₄⋊C₄	—	4	1	no	—
450	C₁₃×C₄⋊C₄	—	4	1	no	—
451	C₁₃×C₄⋊C₄	—	4	1	no	—
452	C₁₃×C₄⋊C₄	—	4	1	no	—
453	C₁₃×C₄⋊C₄	—	4	1	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	4	1	no	—
457	C₁₃×C₂²⋊C₄	—	4	1	no	—
458	C₁₃×C₂²⋊C₄	—	4	1	no	—
459	C₁₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
460	C₄²×C₁₃	—	2	2	no	—
461	C₄²×C₁₃	—	4	1	no	—
462	C₂²⋊Dic₁₃	—	4	1	no	—
463	C₂²⋊Dic₁₃	—	4	1	no	—
464	C₂²⋊Dic₁₃	—	4	1	no	—
465	C₂²⋊Dic₁₃	—	4	1	no	—
466	C₂²⋊Dic₁₃	—	4	1	no	—
467	C₂²⋊Dic₁₃	C₂×Q₈	1	4	yes	—
468	#6103	—	2	2	no	—
469	#6103	—	2	2	no	—
470	#6103	—	2	2	no	—
471	#6103	—	2	2	no	—
472	#6103	—	2	2	no	—
473	#6103	—	2	2	no	—
474	#6103	—	2	2	no	—
475	#6103	—	2	2	no	—
476	#6103	—	2	2	no	—
477	#6103	—	2	2	no	—
478	#6103	—	4	1	no	—
479	#6103	—	4	1	no	—
480	#6103	—	4	1	no	—
481	#6103	—	4	1	no	—
482	#6103	—	4	1	no	—
483	#6103	—	4	1	no	—
484	#6103	—	4	1	no	—
485	#6103	—	4	1	no	—
486	#6103	C₂×Q₈	1	4	yes	—
487	#6103	C₂×Q₈	1	4	yes	—
488	C₄⋊Dic₁₃	—	2	2	no	—
489	C₄⋊Dic₁₃	—	2	2	no	—
490	C₄⋊Dic₁₃	—	4	1	no	—
491	C₄⋊Dic₁₃	—	4	1	no	—
492	C₄⋊Dic₁₃	—	4	1	no	—
493	C₄⋊Dic₁₃	—	4	1	no	—
494	C₄⋊Dic₁₃	—	4	1	no	—
495	C₄⋊Dic₁₃	—	4	1	no	—
496	C₄⋊Dic₁₃	—	4	1	no	—
497	C₄⋊Dic₁₃	—	4	1	no	—
498	C₄⋊Dic₁₃	—	4	1	no	—
499	C₄⋊Dic₁₃	—	4	1	no	—
500	C₄⋊Dic₁₃	—	4	1	no	—
501	C₄⋊Dic₁₃	—	4	1	no	—
502	C₄⋊Dic₁₃	—	4	1	no	—
503	C₄⋊Dic₁₃	—	4	1	no	—
504	#6101	—	2	2	no	—
505	#6101	—	2	2	no	—
506	#6101	—	2	2	no	—
507	#6101	—	4	1	no	—
508	#6101	—	4	1	no	—
509	#6101	—	4	1	no	—
510	#6101	—	4	1	no	—
511	#6101	—	4	1	no	—
512	#6101	—	4	1	no	—
513	#6101	—	4	1	no	—
514	#6101	—	4	1	no	—
515	#6101	—	4	1	no	—
516	#6101	—	4	1	no	—
517	#6101	—	4	1	no	—
518	#6101	—	4	1	no	—
519	#6101	—	4	1	no	—
520	#6101	—	4	1	no	—
521	#6101	—	4	1	no	—
522	#6101	—	4	1	no	—
523	#6101	—	4	1	no	—
524	#6101	—	4	1	no	—
525	#6101	—	4	1	no	—
526	#6101	—	4	1	no	—
527	#6101	—	4	1	no	—
528	C₄×Dic₁₃	—	2	2	no	—
529	C₄×Dic₁₃	—	4	1	no	—
530	C₄×Dic₁₃	—	4	1	no	—
531	C₄×Dic₁₃	—	4	1	no	—
532	C₄×Dic₁₃	—	4	1	no	—
533	C₄×Dic₁₃	—	4	1	no	—
534	#2857	—	13	1	no	—
535	#2851	—	13	1	no	—
536	#2807	—	13	1	no	—
537	#2807	—	13	1	no	—
538	#2788	—	13	1	no	—
539	#2788	—	13	1	no	—
540	#2768	—	13	1	no	—
541	#2768	—	13	1	no	—
542	#2763	—	13	1	no	—
543	#2763	—	13	1	no	—
544	#2729	—	13	1	no	—
545	#2729	D₁₃	1	1	yes	characteristic, complemented
546	#2720	—	13	1	no	—
547	#2720	—	13	1	no	—
548	#2704	—	13	1	no	—
549	#2704	—	13	1	no	—
550	#2704	—	13	1	no	—
551	#2704	—	13	1	no	—
552	#2659	—	13	1	no	—
553	#2646	—	13	1	no	—
554	#2549	—	13	1	no	—
555	#2549	—	13	1	no	—
556	#2442	—	13	1	no	—
557	#2442	—	13	1	no	—
558	#2437	—	13	1	no	—
559	#2437	—	13	1	no	—
560	#2437	—	13	1	no	—
561	#2437	—	13	1	no	—
562	#2315	—	13	1	no	—
563	#2312	—	13	1	no	—
564	C₂×#388	—	13	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	2	1	no	—
568	C₂³×C₁₃	—	2	1	no	—
569	C₂³×C₁₃	—	2	1	no	—
570	C₂³×C₁₃	—	2	1	no	—
571	C₂³×C₁₃	C₂²×Q₈	1	2	yes	—
572	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
573	C₂²×D₁₃	—	2	1	no	—
574	C₂²×D₁₃	—	2	1	no	—
575	C₂²×D₁₃	—	2	1	no	—
576	C₂²×D₁₃	—	2	1	no	—
577	C₂²×D₁₃	—	2	1	no	—
578	C₂²×D₁₃	—	2	1	no	—
579	C₂²×D₁₃	—	2	1	no	—
580	C₂²×D₁₃	—	2	1	no	—
581	C₂²×D₁₃	—	2	1	no	—
582	C₂²×D₁₃	—	2	1	no	—
583	C₂²×D₁₃	—	2	8	no	—
584	C₂²×D₁₃	—	4	4	no	—
585	C₂²×D₁₃	—	4	4	no	—
586	C₂²×D₁₃	—	8	2	no	—
587	C₂²×D₁₃	—	8	2	no	—
588	C₂²×D₁₃	—	8	2	no	—
589	C₂²×D₁₃	—	8	2	no	—
590	C₂²×D₁₃	C₂²×Q₈	1	2	yes	—
591	C₂²×D₁₃	C₂²×Q₈	1	2	yes	—
592	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
593	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
594	Q₈×C₁₃	—	8	2	no	—
595	Q₈×C₁₃	—	8	2	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	8	2	no	—
635	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
636	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
637	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
638	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
639	C₂×Dic₁₃	—	2	1	no	—
640	C₂×Dic₁₃	—	2	1	no	—
641	C₂×Dic₁₃	—	2	1	no	—
642	C₂×Dic₁₃	—	2	1	no	—
643	C₂×Dic₁₃	—	2	1	no	—
644	C₂×Dic₁₃	—	2	1	no	—
645	C₂×Dic₁₃	—	2	1	no	—
646	C₂×Dic₁₃	—	2	1	no	—
647	C₂×Dic₁₃	—	2	1	no	—
648	C₂×Dic₁₃	—	2	1	no	—
649	C₂×Dic₁₃	—	2	1	no	—
650	C₂×Dic₁₃	—	2	1	no	—
651	C₂×Dic₁₃	—	2	1	no	—
652	C₂×Dic₁₃	—	2	1	no	—
653	C₂×Dic₁₃	—	2	1	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	8	2	no	—
680	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
681	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
682	C₄×D₁₃	—	4	4	no	—
683	C₄×D₁₃	—	4	4	no	—
684	C₄×D₁₃	—	4	4	no	—
685	C₄×D₁₃	—	4	4	no	—
686	C₄×D₁₃	—	8	2	no	—
687	C₄×D₁₃	—	8	2	no	—
688	C₄×D₁₃	—	8	2	no	—
689	C₄×D₁₃	—	8	2	no	—
690	Dic₂₆	—	8	2	no	—
691	Dic₂₆	—	8	2	no	—
692	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
693	C₂×#125	—	13	1	no	—
694	C₂×#125	—	13	1	no	—
695	C₂×#125	—	13	1	no	—
696	C₂×C₂²⋊Q₈	—	13	1	no	—
697	C₂×C₂²⋊Q₈	—	13	1	no	—
698	C₂×C₂²⋊Q₈	—	13	1	no	—
699	C₂×C₂²⋊Q₈	—	13	1	no	—
700	C₂×C₂²⋊Q₈	—	13	1	no	—
701	C₂×C₂²⋊Q₈	—	13	1	no	—
702	C₂×C₂²⋊Q₈	—	13	1	no	—
703	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
704	C₂²×C₄⋊C₄	—	13	1	no	—
705	C₂²×C₂²⋊C₄	—	13	1	no	—
706	C₂²×C₂²⋊C₄	—	13	1	no	—
707	C₂²×C₂²⋊C₄	—	13	1	no	—
708	C₂²×C₂²⋊C₄	—	13	1	no	—
709	C₂²×C₂²⋊C₄	—	13	1	no	—
710	C₂²×C₄²	—	13	1	no	—
711	#400	—	13	1	no	—
712	#400	—	13	1	no	—
713	#400	—	13	1	no	—
714	#400	—	13	1	no	—
715	#400	—	13	1	no	—
716	#400	—	13	1	no	—
717	#400	—	13	1	no	—
718	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
719	#399	—	13	1	no	—
720	#399	—	13	1	no	—
721	#399	—	13	1	no	—
722	#399	—	13	1	no	—
723	#398	—	13	1	no	—
724	#398	—	13	1	no	—
725	#398	—	13	1	no	—
726	#398	—	13	1	no	—
727	#398	—	13	1	no	—
728	#398	—	13	1	no	—
729	#398	—	13	1	no	—
730	#398	—	13	1	no	—
731	#398	—	13	1	no	—
732	#398	—	13	1	no	—
733	#398	—	13	1	no	—
734	#398	—	13	1	no	—
735	#398	—	13	1	no	—
736	#398	—	13	1	no	—
737	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
738	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
739	#396	—	13	1	no	—
740	#396	—	13	1	no	—
741	#396	—	13	1	no	—
742	#396	—	13	1	no	—
743	#396	—	13	1	no	—
744	#396	—	13	1	no	—
745	#396	—	13	1	no	—
746	#396	C₂×D₁₃	1	1	yes	characteristic
747	#395	—	13	1	no	—
748	#395	—	13	1	no	—
749	#395	—	13	1	no	—
750	#395	—	13	1	no	—
751	#395	—	13	1	no	—
752	#395	—	13	1	no	—
753	#395	—	13	1	no	—
754	#395	C₂×D₁₃	1	1	yes	characteristic, complemented
755	#393	—	13	1	no	—
756	#393	—	13	1	no	—
757	#393	—	13	1	no	—
758	#393	C₂×D₁₃	1	1	yes	characteristic
759	#391	—	13	1	no	—
760	#391	—	13	1	no	—
761	#391	—	13	1	no	—
762	#391	—	13	1	no	—
763	#391	—	13	1	no	—
764	#391	C₂×D₁₃	1	1	yes	characteristic, complemented
765	#389	—	13	1	no	—
766	#389	—	13	1	no	—
767	#389	—	13	1	no	—
768	#389	—	13	1	no	—
769	#389	—	13	1	no	—
770	#389	—	13	1	no	—
771	#389	—	13	1	no	—
772	#389	—	13	1	no	—
773	#389	—	13	1	no	—
774	#389	—	13	1	no	—
775	#389	—	13	1	no	—
776	#389	—	13	1	no	—
777	#389	—	13	1	no	—
778	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
779	#388	—	13	1	no	—
780	#388	—	13	1	no	—
781	#388	—	13	1	no	—
782	#388	—	13	1	no	—
783	#388	—	13	1	no	—
784	#388	—	13	1	no	—
785	#388	—	13	1	no	—
786	#388	—	13	1	no	—
787	#388	—	13	1	no	—
788	#388	—	13	1	no	—
789	#388	—	13	1	no	—
790	#388	—	13	1	no	—
791	#388	—	13	1	no	—
792	#388	—	13	1	no	—
793	#388	C₂×D₁₃	1	1	yes	characteristic
794	#388	C₂×D₁₃	1	1	yes	characteristic
795	#387	—	13	1	no	—
796	#387	—	13	1	no	—
797	#387	—	13	1	no	—
798	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
799	#385	—	13	1	no	—
800	#385	—	13	1	no	—
801	#385	—	13	1	no	—
802	#385	—	13	1	no	—
803	#385	—	13	1	no	—
804	#385	—	13	1	no	—
805	#385	—	13	1	no	—
806	#385	—	13	1	no	—
807	#385	—	13	1	no	—
808	#385	—	13	1	no	—
809	#385	—	13	1	no	—
810	#385	—	13	1	no	—
811	#385	—	13	1	no	—
812	#385	—	13	1	no	—
813	#385	—	13	1	no	—
814	#385	—	13	1	no	—
815	#385	—	13	1	no	—
816	#385	—	13	1	no	—
817	#385	—	13	1	no	—
818	#385	—	13	1	no	—
819	#385	—	13	1	no	—
820	#385	—	13	1	no	—
821	#385	C₂×D₁₃	1	1	yes	characteristic
822	#385	C₂×D₁₃	1	1	yes	characteristic
823	#384	—	13	1	no	—
824	#382	—	13	1	no	—
825	#382	—	13	1	no	—
826	#382	—	13	1	no	—
827	#380	—	13	1	no	—
828	#380	—	13	1	no	—
829	#380	—	13	1	no	—
830	#380	—	13	1	no	—
831	#380	—	13	1	no	—
832	#380	—	13	1	no	—
833	#380	—	13	1	no	—
834	#380	—	13	1	no	—
835	#380	—	13	1	no	—
836	#380	—	13	1	no	—
837	#380	—	13	1	no	—
838	#380	—	13	1	no	—
839	#380	—	13	1	no	—
840	#380	—	13	1	no	—
841	#379	—	13	1	no	—
842	#379	—	13	1	no	—
843	C₄×C₂²⋊C₄	—	13	1	no	—
844	C₄×C₂²⋊C₄	—	13	1	no	—
845	C₂×#95	—	13	1	no	—
846	C₂×#95	—	13	1	no	—
847	C₂²×C₁₃	—	2	2	no	—
848	C₂²×C₁₃	—	2	2	no	—
849	C₂²×C₁₃	—	2	2	no	—
850	C₂²×C₁₃	—	4	1	no	—
851	C₂²×C₁₃	—	4	1	no	—
852	C₂²×C₁₃	—	4	1	no	—
853	C₂²×C₁₃	—	4	1	no	—
854	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
855	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
856	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
857	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
858	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
859	C₂²×C₁₃	#585	1	1	yes	characteristic
860	C₂²×C₁₃	#585	1	1	yes	characteristic
861	C₂×D₁₃	—	2	2	no	—
862	C₂×D₁₃	—	2	2	no	—
863	C₂×D₁₃	—	2	2	no	—
864	C₂×D₁₃	—	2	2	no	—
865	C₂×D₁₃	—	2	2	no	—
866	C₂×D₁₃	—	2	2	no	—
867	C₂×D₁₃	—	2	2	no	—
868	C₂×D₁₃	—	2	2	no	—
869	C₂×D₁₃	—	2	2	no	—
870	C₂×D₁₃	—	4	1	no	—
871	C₂×D₁₃	—	4	1	no	—
872	C₂×D₁₃	—	4	1	no	—
873	C₂×D₁₃	—	4	1	no	—
874	C₂×D₁₃	—	8	8	no	—
875	C₂×D₁₃	#544	1	4	yes	—
876	C₄×C₁₃	—	2	2	no	—
877	C₄×C₁₃	—	2	2	no	—
878	C₄×C₁₃	—	2	2	no	—
879	C₄×C₁₃	—	2	2	no	—
880	C₄×C₁₃	—	4	1	no	—
881	C₄×C₁₃	—	4	1	no	—
882	C₄×C₁₃	—	4	1	no	—
883	C₄×C₁₃	—	4	1	no	—
884	C₄×C₁₃	—	4	1	no	—
885	C₄×C₁₃	—	4	1	no	—
886	C₄×C₁₃	—	4	1	no	—
887	C₄×C₁₃	—	4	1	no	—
888	C₄×C₁₃	—	4	1	no	—
889	C₄×C₁₃	—	4	1	no	—
890	Dic₁₃	—	2	2	no	—
891	Dic₁₃	—	2	2	no	—
892	Dic₁₃	—	4	1	no	—
893	Dic₁₃	—	4	1	no	—
894	Dic₁₃	—	4	1	no	—
895	Dic₁₃	—	4	1	no	—
896	Dic₁₃	—	4	1	no	—
897	Dic₁₃	—	4	1	no	—
898	Dic₁₃	—	4	1	no	—
899	Dic₁₃	—	4	1	no	—
900	Dic₁₃	—	4	1	no	—
901	Dic₁₃	—	4	1	no	—
902	Dic₁₃	—	4	1	no	—
903	Dic₁₃	—	4	1	no	—
904	C₂⁵	—	13	1	no	—
905	C₂²×Q₈	—	13	1	no	—
906	C₂²×Q₈	—	13	1	no	—
907	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
908	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
909	C₂³×C₄	—	13	1	no	—
910	C₂³×C₄	—	13	1	no	—
911	C₂³×C₄	—	13	1	no	—
912	C₂³×C₄	—	13	1	no	—
913	C₂³×C₄	—	13	1	no	—
914	C₂³×C₄	—	13	1	no	—
915	C₂³×C₄	—	13	1	no	—
916	C₂³×C₄	—	13	1	no	—
917	C₂³×C₄	—	13	1	no	—
918	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
919	C₄⋊Q₈	—	4	2	no	—
920	#125	—	52	2	no	—
921	#125	—	52	2	no	—
922	#125	—	52	2	no	—
923	C₂²⋊Q₈	—	4	2	no	—
924	C₂²⋊Q₈	—	52	2	no	—
925	C₂²⋊Q₈	—	52	2	no	—
926	C₂²⋊Q₈	—	52	2	no	—
927	C₂²⋊Q₈	—	52	2	no	—
928	C₂²⋊Q₈	—	52	2	no	—
929	C₂²⋊Q₈	—	52	2	no	—
930	C₂²⋊Q₈	—	52	2	no	—
931	C₂×C₄⋊C₄	—	13	1	no	—
932	C₂×C₄⋊C₄	—	13	1	no	—
933	C₂×C₄⋊C₄	—	13	1	no	—
934	C₂×C₄⋊C₄	—	13	1	no	—
935	C₂×C₄⋊C₄	—	13	1	no	—
936	C₂×C₄⋊C₄	—	13	1	no	—
937	C₂×C₄⋊C₄	—	13	1	no	—
938	C₂×C₄⋊C₄	—	13	1	no	—
939	C₂×C₄⋊C₄	—	13	1	no	—
940	C₂×C₄⋊C₄	—	13	1	no	—
941	C₂×C₄⋊C₄	—	13	1	no	—
942	C₂×C₄⋊C₄	—	13	1	no	—
943	C₂×C₄⋊C₄	—	13	1	no	—
944	C₂×C₄⋊C₄	—	13	1	no	—
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	1	no	—
947	C₂×C₄⋊C₄	—	13	1	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	1	no	—
950	C₂×C₄⋊C₄	—	13	1	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	13	1	no	—
953	C₂×C₄⋊C₄	—	13	1	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	1	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	52	2	no	—
972	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	—	13	1	no	—
985	C₂×C₂²⋊C₄	—	13	1	no	—
986	C₂×C₂²⋊C₄	—	13	1	no	—
987	C₂×C₂²⋊C₄	—	13	8	no	—
988	C₂×C₂²⋊C₄	—	13	1	no	—
989	C₂×C₂²⋊C₄	—	13	1	no	—
990	C₂×C₂²⋊C₄	—	13	1	no	—
991	C₂×C₂²⋊C₄	—	13	1	no	—
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	1	no	—
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	1	no	—
1000	C₂×C₂²⋊C₄	—	13	1	no	—
1001	C₂×C₂²⋊C₄	—	13	1	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	1	no	—
1006	C₂×C₂²⋊C₄	—	13	1	no	—
1007	C₂×C₂²⋊C₄	—	13	1	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	52	2	no	—
1012	C₂×C₂²⋊C₄	—	52	2	no	—
1013	C₂×C₂²⋊C₄	—	52	2	no	—
1014	C₂×C₂²⋊C₄	—	52	2	no	—
1015	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₄²	—	13	1	no	—
1022	C₂×C₄²	—	13	1	no	—
1023	C₂×C₄²	—	13	1	no	—
1024	C₂×C₄²	—	13	1	no	—
1025	C₂×C₄²	—	13	1	no	—
1026	C₂×C₄²	—	13	1	no	—
1027	C₂×C₄²	—	52	2	no	—
1028	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1029	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1030	#95	—	13	1	no	—
1031	#95	—	13	1	no	—
1032	#95	—	13	1	no	—
1033	#95	—	13	1	no	—
1034	#95	—	13	1	no	—
1035	#95	—	13	1	no	—
1036	#95	—	13	1	no	—
1037	#95	—	13	1	no	—
1038	#95	—	13	1	no	—
1039	#95	—	13	1	no	—
1040	#95	—	13	1	no	—
1041	#95	—	13	1	no	—
1042	#95	—	13	1	no	—
1043	#95	—	13	1	no	—
1044	#95	—	13	1	no	—
1045	#95	—	13	1	no	—
1046	#95	—	13	1	no	—
1047	#95	—	13	1	no	—
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	C₂²×D₁₃	1	1	yes	characteristic
1067	#95	C₂²×D₁₃	1	1	yes	characteristic
1068	#95	C₂²×D₁₃	1	1	yes	characteristic
1069	#95	C₂²×D₁₃	1	1	yes	characteristic
1070	#95	C₂²×D₁₃	1	1	yes	characteristic
1071	#95	C₂²×D₁₃	1	1	yes	characteristic
1072	#95	C₂²×D₁₃	1	1	yes	characteristic
1073	#95	C₂²×D₁₃	1	1	yes	characteristic
1074	#95	C₂²×D₁₃	1	1	yes	characteristic
1075	#95	C₂²×D₁₃	1	1	yes	characteristic
1076	#95	C₂²×D₁₃	1	1	yes	characteristic
1077	#95	C₂²×D₁₃	1	1	yes	characteristic
1078	C₂×C₁₃	—	4	2	no	—
1079	C₂×C₁₃	C₂×#544	1	1	yes	characteristic
1080	C₂×C₁₃	#3501	1	1	yes	characteristic
1081	C₂×C₁₃	#3501	1	1	yes	characteristic
1082	C₂×C₁₃	#3534	1	1	yes	characteristic
1083	C₂×C₁₃	#3536	1	1	yes	characteristic
1084	C₂×C₁₃	#3558	1	1	yes	characteristic
1085	C₂×C₁₃	#3564	1	1	yes	characteristic
1086	D₁₃	—	2	4	no	—
1087	D₁₃	—	4	2	no	—
1088	C₂⁴	—	13	1	no	—
1089	C₂⁴	—	13	1	no	—
1090	C₂⁴	—	13	4	no	—
1091	C₂⁴	—	26	2	no	—
1092	C₂⁴	—	26	2	no	—
1093	C₂⁴	—	52	1	no	—
1094	C₂⁴	—	52	1	no	—
1095	C₂⁴	—	52	1	no	—
1096	C₂⁴	—	52	1	no	—
1097	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1098	C₂×Q₈	—	2	2	no	—
1099	C₂×Q₈	—	2	2	no	—
1100	C₂×Q₈	—	4	1	no	—
1101	C₂×Q₈	—	4	1	no	—
1102	C₂×Q₈	—	4	1	no	—
1103	C₂×Q₈	—	4	1	no	—
1104	C₂×Q₈	—	52	1	no	—
1105	C₂×Q₈	—	52	1	no	—
1106	C₂×Q₈	—	52	1	no	—
1107	C₂×Q₈	—	52	1	no	—
1108	C₂×Q₈	—	52	1	no	—
1109	C₂×Q₈	—	52	1	no	—
1110	C₂²×C₄	—	4	1	no	—
1111	C₂²×C₄	—	4	1	no	—
1112	C₂²×C₄	—	4	1	no	—
1113	C₂²×C₄	—	13	1	no	—
1114	C₂²×C₄	—	13	1	no	—
1115	C₂²×C₄	—	13	4	no	—
1116	C₂²×C₄	—	13	4	no	—
1117	C₂²×C₄	—	13	1	no	—
1118	C₂²×C₄	—	13	1	no	—
1119	C₂²×C₄	—	13	1	no	—
1120	C₂²×C₄	—	13	1	no	—
1121	C₂²×C₄	—	13	1	no	—
1122	C₂²×C₄	—	13	1	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	1	no	—
1125	C₂²×C₄	—	13	1	no	—
1126	C₂²×C₄	—	13	1	no	—
1127	C₂²×C₄	—	13	1	no	—
1128	C₂²×C₄	—	13	1	no	—
1129	C₂²×C₄	—	26	2	no	—
1130	C₂²×C₄	—	26	2	no	—
1131	C₂²×C₄	—	26	2	no	—
1132	C₂²×C₄	—	26	2	no	—
1133	C₂²×C₄	—	26	2	no	—
1134	C₂²×C₄	—	26	2	no	—
1135	C₂²×C₄	—	52	1	no	—
1136	C₂²×C₄	—	52	1	no	—
1137	C₂²×C₄	—	52	1	no	—
1138	C₂²×C₄	—	52	1	no	—
1139	C₂²×C₄	—	52	1	no	—
1140	C₂²×C₄	—	52	1	no	—
1141	C₂²×C₄	—	52	1	no	—
1142	C₂²×C₄	—	52	1	no	—
1143	C₂²×C₄	—	52	1	no	—
1144	C₂²×C₄	—	52	1	no	—
1145	C₂²×C₄	—	52	1	no	—
1146	C₂²×C₄	—	52	1	no	—
1147	C₂²×C₄	—	52	1	no	—
1148	C₂²×C₄	—	52	1	no	—
1149	C₂²×C₄	—	52	1	no	—
1150	C₂²×C₄	—	52	1	no	—
1151	C₂²×C₄	—	52	1	no	—
1152	C₂²×C₄	—	52	1	no	—
1153	C₂²×C₄	—	52	1	no	—
1154	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1168	C₄⋊C₄	—	2	2	no	—
1169	C₄⋊C₄	—	2	2	no	—
1170	C₄⋊C₄	—	2	2	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	26	2	no	—
1181	C₄⋊C₄	—	26	2	no	—
1182	C₄⋊C₄	—	26	2	no	—
1183	C₄⋊C₄	—	26	2	no	—
1184	C₄⋊C₄	—	26	2	no	—
1185	C₄⋊C₄	—	52	1	no	—
1186	C₄⋊C₄	—	52	1	no	—
1187	C₄⋊C₄	—	52	1	no	—
1188	C₄⋊C₄	—	52	1	no	—
1189	C₄⋊C₄	—	52	1	no	—
1190	C₄⋊C₄	—	52	1	no	—
1191	C₄⋊C₄	—	52	1	no	—
1192	C₄⋊C₄	—	52	1	no	—
1193	C₄⋊C₄	—	52	1	no	—
1194	C₄⋊C₄	—	52	1	no	—
1195	C₄⋊C₄	—	52	1	no	—
1196	C₄⋊C₄	—	52	1	no	—
1197	C₄⋊C₄	—	52	1	no	—
1198	C₄⋊C₄	—	52	1	no	—
1199	C₄⋊C₄	—	52	1	no	—
1200	C₄⋊C₄	—	52	1	no	—
1201	C₄⋊C₄	—	52	1	no	—
1202	C₄⋊C₄	—	52	1	no	—
1203	C₄⋊C₄	—	52	1	no	—
1204	C₄⋊C₄	—	52	1	no	—
1205	C₄⋊C₄	—	52	1	no	—
1206	C₄⋊C₄	—	52	1	no	—
1207	C₄⋊C₄	—	52	1	no	—
1208	C₄⋊C₄	—	52	1	no	—
1209	C₄⋊C₄	—	52	1	no	—
1210	C₄⋊C₄	—	52	1	no	—
1211	C₄⋊C₄	—	52	1	no	—
1212	C₄⋊C₄	—	52	1	no	—
1213	C₄⋊C₄	—	52	1	no	—
1214	C₄⋊C₄	—	52	1	no	—
1215	C₄⋊C₄	—	52	1	no	—
1216	C₄⋊C₄	—	52	1	no	—
1217	C₄⋊C₄	—	52	1	no	—
1218	C₄⋊C₄	—	52	1	no	—
1219	C₄⋊C₄	—	52	1	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	13	4	no	—
1226	C₂²⋊C₄	—	13	4	no	—
1227	C₂²⋊C₄	—	13	4	no	—
1228	C₂²⋊C₄	—	26	2	no	—
1229	C₂²⋊C₄	—	26	2	no	—
1230	C₂²⋊C₄	—	26	2	no	—
1231	C₂²⋊C₄	—	26	2	no	—
1232	C₂²⋊C₄	—	26	2	no	—
1233	C₂²⋊C₄	—	26	2	no	—
1234	C₂²⋊C₄	—	26	2	no	—
1235	C₂²⋊C₄	—	26	2	no	—
1236	C₂²⋊C₄	—	26	2	no	—
1237	C₂²⋊C₄	—	26	2	no	—
1238	C₂²⋊C₄	—	52	1	no	—
1239	C₂²⋊C₄	—	52	1	no	—
1240	C₂²⋊C₄	—	52	1	no	—
1241	C₂²⋊C₄	—	52	1	no	—
1242	C₂²⋊C₄	—	52	1	no	—
1243	C₂²⋊C₄	—	52	1	no	—
1244	C₂²⋊C₄	—	52	1	no	—
1245	C₂²⋊C₄	—	52	1	no	—
1246	C₂²⋊C₄	—	52	1	no	—
1247	C₂²⋊C₄	—	52	1	no	—
1248	C₂²⋊C₄	—	52	1	no	—
1249	C₂²⋊C₄	—	52	1	no	—
1250	C₂²⋊C₄	—	52	1	no	—
1251	C₂²⋊C₄	Q₈×D₁₃	1	4	yes	—
1252	C₄²	—	2	2	no	—
1253	C₄²	—	4	1	no	—
1254	C₄²	—	26	2	no	—
1255	C₄²	—	52	1	no	—
1256	C₄²	—	52	1	no	—
1257	C₄²	—	52	1	no	—
1258	C₄²	—	52	1	no	—
1259	C₄²	—	52	1	no	—
1260	C₁₃	#36750	1	1	yes	characteristic, complemented, Sylow
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	13	2	no	—
1268	C₂³	—	13	2	no	—
1269	C₂³	—	13	2	no	—
1270	C₂³	—	13	2	no	—
1271	C₂³	—	26	8	no	—
1272	C₂³	—	26	1	no	—
1273	C₂³	—	26	1	no	—
1274	C₂³	—	26	1	no	—
1275	C₂³	—	26	1	no	—
1276	C₂³	—	26	1	no	—
1277	C₂³	—	26	1	no	—
1278	C₂³	—	26	1	no	—
1279	C₂³	—	26	1	no	—
1280	C₂³	—	26	1	no	—
1281	C₂³	—	26	1	no	—
1282	C₂³	—	52	4	no	—
1283	C₂³	—	52	4	no	—
1284	C₂³	—	104	2	no	—
1285	C₂³	—	104	2	no	—
1286	C₂³	—	104	2	no	—
1287	C₂³	—	104	2	no	—
1288	C₂³	C₂×Q₈×D₁₃	1	2	yes	—
1289	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1290	Q₈	—	8	2	no	—
1291	Q₈	—	8	2	no	—
1292	Q₈	—	104	2	no	—
1293	Q₈	—	104	2	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	8	2	no	—
1333	C₂×C₄	—	13	2	no	—
1334	C₂×C₄	—	13	2	no	—
1335	C₂×C₄	—	26	1	no	—
1336	C₂×C₄	—	26	1	no	—
1337	C₂×C₄	—	26	1	no	—
1338	C₂×C₄	—	26	1	no	—
1339	C₂×C₄	—	26	1	no	—
1340	C₂×C₄	—	26	1	no	—
1341	C₂×C₄	—	26	1	no	—
1342	C₂×C₄	—	26	1	no	—
1343	C₂×C₄	—	26	1	no	—
1344	C₂×C₄	—	26	1	no	—
1345	C₂×C₄	—	26	1	no	—
1346	C₂×C₄	—	26	1	no	—
1347	C₂×C₄	—	26	1	no	—
1348	C₂×C₄	—	26	1	no	—
1349	C₂×C₄	—	26	1	no	—
1350	C₂×C₄	—	26	1	no	—
1351	C₂×C₄	—	26	1	no	—
1352	C₂×C₄	—	26	1	no	—
1353	C₂×C₄	—	26	1	no	—
1354	C₂×C₄	—	26	1	no	—
1355	C₂×C₄	—	26	1	no	—
1356	C₂×C₄	—	26	1	no	—
1357	C₂×C₄	—	26	1	no	—
1358	C₂×C₄	—	26	1	no	—
1359	C₂×C₄	—	26	1	no	—
1360	C₂×C₄	—	26	1	no	—
1361	C₂×C₄	—	26	1	no	—
1362	C₂×C₄	—	26	1	no	—
1363	C₂×C₄	—	26	1	no	—
1364	C₂×C₄	—	26	1	no	—
1365	C₂×C₄	—	26	1	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	26	1	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	52	4	no	—
1376	C₂×C₄	—	52	4	no	—
1377	C₂×C₄	—	52	4	no	—
1378	C₂×C₄	—	52	4	no	—
1379	C₂×C₄	—	104	2	no	—
1380	C₂×C₄	—	104	2	no	—
1381	C₂×C₄	—	104	2	no	—
1382	C₂×C₄	—	104	2	no	—
1383	C₂×C₄	—	104	2	no	—
1384	C₂×C₄	#88251	1	2	yes	—
1385	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1386	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1387	C₂×C₄	#88256	1	2	yes	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	13	4	no	—
1396	C₂²	—	26	2	no	—
1397	C₂²	—	26	2	no	—
1398	C₂²	—	26	2	no	—
1399	C₂²	—	26	2	no	—
1400	C₂²	—	26	2	no	—
1401	C₂²	—	26	2	no	—
1402	C₂²	—	26	2	no	—
1403	C₂²	—	26	2	no	—
1404	C₂²	—	26	2	no	—
1405	C₂²	—	52	1	no	—
1406	C₂²	—	52	1	no	—
1407	C₂²	—	52	1	no	—
1408	C₂²	—	52	1	no	—
1409	C₂²	—	104	8	no	—
1410	C₂²	C₂×#88251	1	1	yes	characteristic
1411	C₂²	C₂²×Q₈×D₁₃	1	1	yes	characteristic
1412	C₂²	C₂×#88256	1	1	yes	characteristic
1413	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1414	C₂²	#11719650	1	1	yes	characteristic
1415	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1416	C₂²	#11719652	1	1	yes	characteristic
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	26	2	no	—
1432	C₄	—	26	2	no	—
1433	C₄	—	52	1	no	—
1434	C₄	—	52	1	no	—
1435	C₄	—	52	1	no	—
1436	C₄	—	52	1	no	—
1437	C₄	—	52	1	no	—
1438	C₄	—	52	1	no	—
1439	C₄	—	52	1	no	—
1440	C₄	—	52	1	no	—
1441	C₄	—	52	1	no	—
1442	C₄	—	52	1	no	—
1443	C₄	—	52	1	no	—
1444	C₄	—	52	1	no	—
1445	C₂	—	4	2	no	—
1446	C₂	—	26	4	no	—
1447	C₂	—	52	2	no	—
1448	C₂	D₁₃×#544	1	1	yes	characteristic
1449	C₂	#13128631	1	1	yes	characteristic
1450	C₂	#13128633	1	1	yes	characteristic
1451	C₂	#13129016	1	1	yes	characteristic
1452	C₂	#13129052	1	1	yes	characteristic
1453	C₂	#13129351	1	1	yes	characteristic
1454	C₂	#13129458	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2729	C₂
prime radical	C₂⁴×D₁₃	C₂³
hypercenter	#2729	D₁₃
hypocenter	C₁₃	#36750
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2729

Complements

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

N	H ≅ G/N	type
1. #13123183	C₂	semidirect
2. #13123143	C₂	semidirect
3. #13122805	C₂	semidirect
4. #13122802	C₂	semidirect
5. #13122586	C₂	semidirect
6. #13122581	C₂	semidirect
7. #13122320	C₂	semidirect
8. #13122315	C₂	semidirect
9. #13122253	C₂	semidirect
10. #13122247	C₂	semidirect
11. #13121812	C₂	semidirect
12. #13121714	C₂	semidirect
13. #13121713	C₂	semidirect
14. #13121501	C₂	semidirect
15. #13121493	C₂	semidirect
16. #13121490	C₂	semidirect
17. #13121487	C₂	semidirect
18. #13120951	C₂	semidirect
19. #13120807	C₂	semidirect
20. #13119845	C₂	semidirect
21. #13119841	C₂	semidirect
22. #13118558	C₂	semidirect
23. #13118555	C₂	semidirect
31. C₁₃×#2729	C₂	semidirect
32. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
42. C₂×#88144	C₂²	semidirect
43. C₂×#88143	C₂²	semidirect
44. C₂×#88143	C₂²	semidirect
51. C₁₃×#400	C₂²	semidirect
52. C₁₃×#398	C₂²	semidirect
53. C₁₃×#398	C₂²	semidirect
55. C₁₃×#395	C₂²	semidirect
57. C₁₃×#391	C₂²	semidirect
58. C₁₃×#389	C₂²	semidirect
61. C₁₃×#387	C₂²	semidirect
65. #11718891	C₂²	semidirect
66. #11718891	C₂²	semidirect
67. #11718891	C₂²	semidirect
68. #11718890	C₂²	semidirect
92. #11718647	C₂²	semidirect
93. #11718647	C₂²	semidirect
94. #11718646	C₂²	semidirect
95. #11718646	C₂²	semidirect
96. #11718645	C₂²	semidirect
97. #11718645	C₂²	semidirect
98. #11718645	C₂²	semidirect
99. #11718645	C₂²	semidirect
100. #11718644	C₂²	semidirect
101. #11718644	C₂²	semidirect
102. #11718641	C₂²	semidirect
103. #11718641	C₂²	semidirect
104. #11718640	C₂²	semidirect
105. #11718634	C₂²	semidirect
106. #11718634	C₂²	semidirect
107. #11718634	C₂²	semidirect
108. #11718634	C₂²	semidirect
109. #11718633	C₂²	semidirect
110. #11718633	C₂²	semidirect
111. #11718633	C₂²	semidirect
112. #11718633	C₂²	semidirect
135. #11718597	C₂²	semidirect
136. #11718596	C₂²	semidirect
137. #11718594	C₂²	semidirect
138. #11718589	C₂²	semidirect
163. #11718322	C₂²	semidirect
164. #11718322	C₂²	semidirect
165. #11718321	C₂²	semidirect
166. #11718320	C₂²	semidirect
167. #11718320	C₂²	semidirect
168. #11718320	C₂²	semidirect
169. #11718319	C₂²	semidirect
170. #11718318	C₂²	semidirect
171. #11718318	C₂²	semidirect
172. #11718318	C₂²	semidirect
173. #11718318	C₂²	semidirect
174. #11718317	C₂²	semidirect
175. #11718317	C₂²	semidirect
176. #11718317	C₂²	semidirect
177. #11718317	C₂²	semidirect
178. #11718317	C₂²	semidirect
179. #11718316	C₂²	semidirect
180. #11718315	C₂²	semidirect
181. #11718311	C₂²	semidirect
182. #11718311	C₂²	semidirect
183. #11718308	C₂²	semidirect
184. #11718308	C₂²	semidirect
185. #11718307	C₂²	semidirect
186. #11718307	C₂²	semidirect
310. C₂²⋊C₄×D₁₃	Q₈	semidirect
545. #2729	D₁₃	semidirect
692. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
718. #400	C₂×D₁₃	semidirect
737. #398	C₂×D₁₃	semidirect
738. #398	C₂×D₁₃	semidirect
754. #395	C₂×D₁₃	semidirect
764. #391	C₂×D₁₃	semidirect
778. #389	C₂×D₁₃	semidirect
798. #387	C₂×D₁₃	semidirect
1260. C₁₃	#36750	semidirect

Maximal subgroups

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

subgroup	index
#13123183	2
#13123143	2
#13122805	2
#13122802	2
#13122586	2
#13122581	2
#13122320	2
#13122315	2
#13122253	2
#13122247	2
#13121812	2
#13121714	2
#13121713	2
#13121501	2
#13121493	2
#13121490	2
#13121487	2
#13120951	2
#13120807	2
#13119845	2
#13119841	2
#13118558	2
#13118555	2
#13118500	2
#13118499	2
#13118498	2
#13118496	2
#13117447	2
#13117430	2
D₁₃×#388	2
C₁₃×#2729	2
#36750	13